Opinion by Judge THOMAS; Dissent by Judge BETTY B. FLETCHER.
ORDER AND AMENDED OPINION
ORDER
The opinion filed on March 5, 2010 [596 F.3d 1133] is hereby amended as follows. The second and third full sentences of the second full paragraph, beginning on line 23 and continuing to line 28, in the middle of Slip Op. page 3473 [596 F.3d at 1147] are deleted.
No further petitions for panel rehearing or rehearing en banc will be entertained.
THOMAS, Circuit Judge:OPINION
Ronald Smith murdered two men, pled guilty to the crimes, requested capital punishment, and was sentenced to death. Shortly thereafter, Smith changed his mind and requested resentencing. He was resentenced to death in 1984. Since then, Smith has challenged his death sentences in various fora, including this Court, and has been resentenced two more times, once in 1992 and again in 1995. Smith now appeals two decisions. He appeals the district court’s 1994 denial of his original ineffective assistance of counsel claim, challenging his counsel’s performance during the 1983 death sentencing. He also appeals the district court’s 2007 denial of his challenges to the 1995 death sentence. He makes three claims: that the district court failed to consider mitigating evidence; that the district judge was biased against him; and that his continued incarceration violates the Eighth Amendment.
We affirm both the district court’s 1994 decision denying Smith’s ineffective assistance of counsel claim and its 2007 decision denying Smith’s challenges to the 1995 death sentence.
I
A
Ronald Smith was born in Canada in 1957. In August of 1982, Smith and two friends — Rodney Munro and Andre Fontaine — -left Canada for Mexico. Smith left Canada because he was “messed up emotionally,” in part because of his father’s rejection of Smith’s daughter, and “had to get away from the environment that [he] was in in order to get calmed down.” During this period, Smith, Munro, and Fontaine used drugs heavily, taking between thirty to forty hits of LSD daily.
After crossing the border into Montana, Smith, Munro, and Fontaine patronized a bar on the southeast end of East Glacier. At the bar, they met two Native American men, Thomas Running Rabbit, Jr. and Harvey Mad Man, Jr. The five men drank beers and played pool together. Smith consumed between twelve and eighteen beers that day.
*983After about an hour, Smith, Munro, and Fontaine took off and began hitchhiking southwest. Fontaine told Smith about his idea to steal a car for themselves even if they had to kill someone to get it. Smith agreed. Soon after, Smith, Munro, and Fontaine were picked up by Running Rabbit and Mad Man.
After about twenty minutes of driving, Running Rabbit and Mad Man left their car to urinate. While Running Rabbit and Mad Man were out of the car, Smith told Munro that they were going to kill Running Rabbit and Mad Man and steal their car. When Running Rabbit and Mad Man returned, Smith put his sawed-off rifle to the back of one of their heads and told them to get back out of the car. Smith and Munro walked Running Rabbit and Mad Man into the woods. After about fifty to seventy-five feet, Smith shot Mad Man. He turned to Munro, reloaded his rifle, and shot Running Rabbit.1
The three men stole the car and took off. Fontaine drove at first but he was too affected to drive properly, Smith assumed the responsibility for driving. They drove to California, where Munro and Fontaine were arrested for armed robbery. Smith was arrested in Wyoming.
B
After Smith’s arrest, the County Attorney in Montana offered Smith a plea bargain. In exchange for Smith’s cooperation, the County would not seek the death penalty and instead recommend that the court impose two 110 year sentences. Montana law applicable at the time would have made Smith eligible for release after seventeen and a half years.
Smith rejected the bargain. At his arraignment, Smith pled guilty and testified fully to the facts of the crimes. He requested the death penalty. The court, Smith’s attorney, and the County Attorney all asked Smith if he understood what he was doing, if he wished to be examined by a psychiatrist, and if he was sure of his decision. Smith answered clearly and directly that he understood his request, that he did not need a psychiatrist, and that he was sure of his decision.
Smith explained his reasons for seeking death. He testified that he considered himself to be a violent person; that he was uninterested in rehabilitation; that he felt no remorse; and that part of the reason he killed the two men was that he had always had “kind of a morbid fascination to find out what it would be like to kill somebody.” He testified that he was “extremely satisfied” with the representation provided by his attorney. The transcripts suggest that Smith remained affectless during his remarkably lucid and direct testimony.
Judge Michael Keedy sentenced Smith to death,2 emphasizing that Smith’s request for death was “nothing more than a curious element in this case” and that it did not effect his decision.
Soon after the 1983 death sentence, Smith changed his mind and asked the court to reconsider the sentence. He conceded that his previous testimony had *984been exaggerated to increase the chances that he would receive the death penalty. Smith requested that he be examined by a qualified psychiatrist to determine whether he suffered from a mental disease or defect or whether he suffered from a diminished capacity on the day of the murders due to drugs or mental illness, either of which might qualify as mitigating evidence.
The Montana district court granted the motion and ordered that Smith be evaluated by Dr. Stratford, a forensic psychiatrist, who was to testify at a resentencing hearing. At the hearing, Dr. Stratford testified that “he found no evidence that the use of drugs or alcohol affected the defendant’s capacity to appreciate the criminality of his conduct, conform his conduct to the requirements of law, or form a criminal intent.” State v. Smith, 217 Mont. 461, 705 P.2d 1087, 1090 (1985). Rodney Munro also testified. He stated that “at the time of the crime, [he] was experiencing confusion, flashes of light and hallucinations, having ingested approximately the same amount of drugs and alcohol as the defendant.” Id. Smith moved for an additional psychiatric evaluation, but the court denied the request. Id. at 1090-91.
Smith testified at the resentencing hearing. He stated that he had originally asked for death because he had been deeply depressed, partially because “he had been placed in solitary confinement without fresh air, sunlight, or exercise.” Smith v. McCormick, 914 F.2d 1153, 1156 (9th Cir.1990). Having been transferred to a different prison arrangement, “he was more optimistic about surviving in prison.” Id. Also, family members visited Smith and urged him to live. Id. Because at the original sentencing hearing he was angling for the death penalty, he had “purposefully omitted reference to any mitigating factors.” Id.
In February 1984, the court affirmed its death sentence. The court found that “Defendant’s] voluntary] and unhesitating[] ingestfion of] substantial quantities of alcohol on the day these crimes were committed, and numerous tablets or ‘hits’ of LSD in the days prior thereto, does not relieve him of responsibility for his actions.” Smith’s “choice to execute [Mad Man and Running Rabbit] was conscious, calculated, and deliberate.” The Montana Supreme Court affirmed the judgment. State v. Smith, 217 Mont. 461, 705 P.2d 1087 (1985), cert. denied 474 U.S. 1073, 106 S.Ct. 837, 88 L.Ed.2d 808 (1986).
In 1986, Smith filed a federal petition for writ of habeas corpus. The federal district court denied relief on summary judgment. Smith, 914 F.2d at 1156. Smith appealed. A panel of this Circuit reversed and remanded the case to the district court with instructions to (1) conduct an evidentiary hearing on Smith’s ineffective assistance of counsel claim, and (2) remand to the state court to resentence Smith with the benefit of a competent psychiatrist and a consideration of the mitigating factors that Smith presented. Id. at 1170. As a result of the panel decision, the case was bifurcated into state (resentencing) and federal (ineffective assistance of counsel) proceedings.
1
In the state proceedings, the Montana district court resentenced Smith to death, now for a third time. The Montana Supreme Court vacated the death sentence and remanded for resentencing by a different judge. State v. Smith, 261 Mont. 419, 863 P.2d 1000, 1017 (1993). Montana District Judge John W. Larson assumed the case. Judge Larson held hearings and took testimony from Smith; Smith’s daughter; Smith’s sister; Andre Fontaine; Rod Munro; Shawn Tontrel, a psychiatric social worker; Dr. Evans, a psychologist; *985Dr. Pittel, a chemical dependency expert; John Salmonson, Smith’s prison teacher; and Richard Wood, a corrections specialist.
At the hearings, Smith testified about his family, his troubled childhood, his tumultuous relationship with his father, his use of alcohol and drugs beginning at the age of eleven, his criminal history, the discovery of his daughter and his father’s rejection of his daughter, and his close relationships with his sister and daughter. Tontrel testified about Smith’s childhood, the “very, very severe!]” physical abuse Smith suffered at the hands of his parents, the physical abuse his mother suffered at the hands of his father, and the genuine remorse that Smith felt for his crimes. Dr. Evans testified about the extensive psychological tests she conducted on Smith. She testified that at the time of the murders, Smith “was suffering from or under the influence of extreme emotional disturbance.” She concluded by stating: “I’ve never seen a case that I have worked on in 15 years in a capital case of anyone making this much ... impressive change in real, significant ... rehabilitation.” Dr. Pittel testified about the effects of the drugs Smith was using prior to the murders. John Salmonson, Smith’s teacher in prison, testified about Smith’s efforts to educate himself in prison. Salmonson stated that Smith’s work was “very good” and that he was taking college-level courses, having worked for and received a high school equivalency degree.
In a lengthy and thorough opinion, Judge Larson sentenced Smith to death. The Montana Supreme Court affirmed. State v. Smith, 280 Mont. 158, 931 P.2d 1272 (1996).
In 2007, the federal district court considered Smith’s habeas petition, amended to include claims arising from Judge Larson’s resentencing. The district court granted summary judgment for Montana on all claims. Smith v. Mahoney, No. 86-198, 2007 WL 869624, 2007 U.S. Dist. LEXIS 23772 (D.Mont. Mar. 20, 2007). Smith now appeals that decision. In particular, he appeals his mitigating evidence claim, his judge bias claim, and his Eighth Amendment claim.
2
In 1992, in separate proceedings, the federal district court held an evidentiary hearing on Smith’s ineffective assistance of counsel claim. At the hearing, the court heard testimony from Smith’s trial-level defense attorney about his experience with death penalty cases, the time he spent researching and investigating Smith’s case, potential defenses, and his reasons for not initially requesting a psychiatric evaluation.
The district court denied Smith’s ineffective assistance of counsel claims, finding that nothing that Smith’s lawyer failed to do — e.g., order a psychiatric examination, thoroughly investigate the alleged crime, etc. — constituted representation that fell below an objective standard of reasonableness or prejudiced Smith. In particular, the court found that there was not a reasonable probability that, but for defense attorney’s errors, Smith would have pleaded not guilty and insisted on going to trial.
The district court issued a Certificate of Probable Cause and Smith appealed the decision. We have jurisdiction to review these claims under 28 U.S.C. § 2253. We first consider Smith’s ineffective assistance of counsel claim and then proceed to his challenges to the 1995 death sentence.
II
Smith argues that his original defense lawyer provided ineffective assistance of counsel because he failed to properly investigate possible defenses to the death sentence and failed to present those possi*986ble defenses to Smith.3 We agree that Smith’s lawyer’s performance fell below an objective standard of reasonableness. However, because Smith suffered no prejudice from his lawyer’s performance, his ineffective assistance claim fails.
The parties agree that this claim is not subject to the provisions of the Anti-terrorism and Effective Death Penalty Act of 1996 (“AEDPA”), Pub. L. No. 104-132, 110 Stat. 1214. Therefore “we do not review the state court’s legal conclusions to determine whether they are objectively unreasonable; rather, we simply resolve the legal issue on the merits, under the ordinary rules.” Duncan v. Ornoski, 528 F.3d 1222, 1233 (9th Cir.2008) (internal quotation marks omitted). Ineffective assistance of counsel claims are mixed questions of law and fact and we review them de novo. Summerlin v. Schriro, 427 F.3d 623, 628 (9th Cir.2005) (en banc). We review the district court’s findings of fact for clear error. Id.
To prevail on his ineffective assistance claim, Smith must show that: (1) his trial counsel’s performance “fell below an objective standard of reasonableness”; and (2) “there is a reasonable probability that, but for counsel’s unprofessional errors, the result of the proceeding would have been different.” See Strickland v. Washington, 466 U.S. 668, 688, 694, 104 S.Ct. 2052, 80 L.Ed.2d 674 (1984). “A reasonable probability is a probability sufficient to undermine confidence in the outcome.” Id. at 694, 104 S.Ct. 2052.
In the context of a plea, a petitioner satisfies the prejudice prong of the Strickland test where “there is a reasonable probability that, but for counsel’s errors, he would not have pleaded guilty and would have insisted on going to trial.” Hill v. Lockhart, 474 U.S. 52, 59, 106 S.Ct. 366, 88 L.Ed.2d 203 (1985).
A
We hold that Smith’s defense attorney’s performance fell below an objective standard of reasonableness because he failed to investigate the facts of the crime, failed to investigate Smith’s mental state at the time of the crime, and failed to discuss possible defenses before Smith pled guilty.
Strickland held that “counsel has a duty to make reasonable investigations or to make a reasonable decision that makes particular investigations unnecessary.” Strickland, 466 U.S. at 691, 104 S.Ct. 2052. The Strickland standard is a deferential one. Id. at 689, 104 S.Ct. 2052 (“Judicial scrutiny of counsel’s performance must be highly deferential.”). Because “[a] standard of reasonableness applied as if one stood in counsel’s shoes spawns few hard-edged rules,” Rompilla v. Beard, 545 U.S. 374, 381, 125 S.Ct. 2456, 162 L.Ed.2d 360 (2005), reasonableness determinations are made on a case-by-case basis.
*987Montana contends that Smith’s strong intention to plead guilty eliminated his defense counsel’s duty to fully investigate the circumstances of the crime. A decision not to investigate must be reasonable under the specific circumstances of the case. “The reasonableness of counsel’s actions may be determined or substantially influenced by the defendant’s own statements or actions.” Strickland, 466 U.S. at 691, 104 S.Ct. 2052. Smith’s intent to plead guilty mitigated, but did not eliminate, his attorney’s duty to reasonably investigate. See Langford v. Day, 110 F.3d 1380, 1386-87 (9th Cir.1996).
Despite Smith’s insistence on pleading guilty, his defense attorney failed to adequately investigate the circumstances of the crime. “[T]he prevailing legal norms at the time” govern determinations on reasonable representation. Jennings v. Woodford, 290 F.3d 1006, 1015 (9th Cir.2002). By 1982, the ABA had released criminal justice standards requiring a defense attorney to thoroughly investigate the circumstances of a case, even in the face of guilt statements by the defendant:
It is the duty of the lawyer to conduct a prompt investigation of the circumstances of the case and to explore all avenues leading to facts relevant to the merits of the case and the penalty in the event of conviction. The investigation should always include efforts to secure information in the possession of the prosecution and law enforcement authorities. The duty to investigate exists regardless of the accused’s admissions or statements to the lawyer of facts constituting guilt or the accused’s stated desire to plead guilty.
1 American Bar Association, Standards for Criminal Justice 4-4.1 (2d ed. 1982 Supp.) (emphasis added); see also Duncan, 528 F.3d at 1238 (“A defendant’s admission of guilt to his lawyer does not absolve the lawyer of his duty to investigate the crime.”). ABA standards act “as ‘guides to determining what is reasonable.’ ” Rompilla, 545 U.S. at 387, 125 S.Ct. 2456 (quoting Wiggins v. Smith, 539 U.S. 510, 524, 123 S.Ct. 2527, 156 L.Ed.2d 471 (2003)). A lawyer’s duty to fully investigate the circumstances of a crime — even when his client has admitted guilt — is especially pronounced in the death context, where consequences of the lawyer’s inaction can be particularly severe.
Despite this duty, Smith’s lawyer neither reasonably investigated Smith’s mental state at the time of the murder not did he reasonably investigate the factual circumstances of the murders.
Smith and his lawyer had many conversations leading up to Smith’s guilty plea. They spoke about Smith’s drug usage over “many years.” Despite this, the lawyer did not investigate Smith’s history with drug use. Furthermore, he did not learn of Smith’s drug use leading up to the murders until after the first sentencing. Smith also spoke with his lawyer about his desire to seek the death penalty. That desire, whether couched in reasoned argument or not, should have put the defense lawyer on notice that Smith might have mental health problems.4 Yet the lawyer *988did not order a psychiatric evaluation nor did he seek a release of confidential information about Smith’s educational, corrective, or mental health background. When a lawyer is on notice that his client may have mental health or drug abuse problems, he does not offer reasonable representation if he fails to investigate those potentially mitigating circumstances. See Jennings, 290 F.3d at 1013-17.
The defense lawyer engaged in almost no investigation of the facts of the crime either. The lawyer interviewed “about four or five” of the thirty-five potential witnesses attached to the charging document. The lawyer never visited the scene of the crime or hired an investigator. The defense lawyer himself conceded that he “did not feel a need to go beyond anything that Mr. Smith” told him.
In addition to a duty to investigate, defense counsel must ensure that the defendant understands his plea. A defendant must possess “an understanding of the law in relation to the facts.” Boykin v. Alabama, 395 U.S. 238, 243 n. 5, 89 S.Ct. 1709, 23 L.Ed.2d 274 (1969). A guilty plea is only valid if it “represents a voluntary and intelligent choice among the alternative courses of action open to the defendant.” North Carolina v. Alford, 400 U.S. 25, 31, 91 S.Ct. 160, 27 L.Ed.2d 162 (1970).
Smith’s defense attorney did not ensure that Smith fully understood the alternative courses of action available to him. Although Smith’s lawyer was on notice that Smith had been a habitual drug user and that he wanted to die — both facts that might have developed into mitigating circumstances with the right investigation— Smith’s lawyer conceded that he did not discuss with Smith “anything that would have operated as a viable defense in the case.”5
Montana further contends that Smith’s lawyer’s decision not to request a psychiatric evaluation was a strategic choice and thus subject to little judicial oversight. The defense lawyer stated that his decision was strategic because he would have had to tender the results of the evaluation to the prosecution. “Because of the difficulties inherent in making the evaluation, a court must indulge a strong presumption that counsel’s conduct falls within the wide range of reasonable professional assistance; that is, the defendant must overcome the presumption that, under the circumstances, the challenged action ‘might be considered sound trial strategy.’” Strickland, 466 U.S. at 689, 104 S.Ct. 2052 (quoting Michel v. Louisiana, 350 U.S. 91, 101, 76 S.Ct. 158, 100 L.Ed. 83 (1955)).
However, any strategic decision must be reasonable. Jennings, 290 F.3d at 1014 (“Although defense counsel is empowered to make such strategic decisions, Strickland demands that such decisions be reasonable and informed.”). “[D]ecisions that are made before a complete investiga*989tion is conducted are reasonable only if the level of investigation was also reasonable.” Duncan, 528 F.3d at 1234. Read with the rest of the attorney’s testimony, his statement on strategy appears to be more of an afterthought than anything else, and additionally does not make sense. Smith could not have been harmed had the evaluation turned up evidence that Smith suffered from a psychiatric condition and the prosecution found out about it. Had the evaluation turned up no evidence of psychiatric problems, the sentencing would have proceeded as it did.
Because Smith’s defense lawyer failed to investigate Smith’s mental state at the time of the crime, failed to investigate the facts surrounding the crime, and failed to discuss possible defenses with Smith, his representation fell below an objective standard of reasonableness given the prevailing legal norms at the time.
B
Under Strickland, it is not enough to establish that counsel was constitutionally ineffective; the petitioner must also establish prejudice. Although Smith’s lawyer’s performance was unreasonable, Smith did not establish that he was prejudiced by his lawyer’s representation.
To show prejudice in the plea context, Smith must demonstrate that “there is a reasonable probability that, but for counsel’s errors, he would not have pleaded guilty and would have insisted on going to trial.'” Hill, 474 U.S. at 59, 106 S.Ct. 366. “[W]here the alleged error of counsel is a failure to advise the defendant of a potential affirmative defense to the crime charged, the resolution of the ‘prejudice’ inquiry will depend largely on whether the affirmative defense likely would have succeeded at trial.” Id.; see also United States v. Keller, 902 F.2d 1391, 1395 (9th Cir.1990).
To have convicted Smith of a crime punishable by death, Montana would have had to prove that Smith “purposely or knowingly” committed the murders. Mont.Code Ann. § 45-5-102 (deliberate homicide); § 45-5-303 (aggravated kidnapping). At the time of Smith’s first sentencing, Montana allowed juries to consider intoxication as a defense to the mental state requirements of those crimes. The relevant statute read:
A person who is in an intoxicated or drugged condition is criminally responsible for conduct unless such condition is involuntarily produced and deprives him of his capacity to appreciate the criminality of his conduct or to conform his conduct to the requirements of law. An intoxicated or drugged condition may be taken into consideration in determining the existence of a mental state which is an element of the offense.
Mont.Code Ann. § 45-2-203 (1985) (amended in 1987 to preclude a jury from taking intoxication into account when considering mental state). At the time, voluntary intoxication could be taken into consideration when determining whether Smith had the requisite mental state while committing the murders. State v. Sage, 221 Mont. 192, 717 P.2d 1096, 1100 (1986).
In addition, a person who “purposely or knowingly causes the death of another human being but does so under the influence of extreme mental or emotional stress for which there is reasonable explanation or excuse” commits only mitigated deliberate homicide, which carries a penalty of between two and forty years in prison. Mont.Code Ann. § 45-5-103. In Montana, “mitigated deliberate homicide is not a lesser included offense of deliberate homicide in the traditional sense, but rather is an affirmative defense that must be proven by the defendant by a preponderance of the evidence.” State v. Howell, 287 Mont. 268, 954 P.2d 1102, 1104 (1998).
*990Smith has always admitted that he killed Thomas Running Rabbit, Jr. and Harvey Mad Man, Jr. At the first plea hearing, Smith testified that he was not impaired in any way when he committed the murders and affirmed that he was “of a cold and calculating mind” when he pulled the trigger. In addition to wanting to steal the car, he said he killed the men because he “had kind of a morbid facination to find out what it would be like to kill somebody.” The record establishes that Smith was calm and collected during the murders. Following the killing, he drove to California.
Although Smith had been drinking beer the day of the murders and using drugs in the two weeks preceding the murders, it is far from clear that Smith could have successfully employed the intoxication defense. Montana courts have held that “a jury may infer the requisite mental state from what a ‘defendant does and says and from all the facts and circumstances involved.’” Sage, 717 P.2d at 1100 (quoting State v. Pierce, 199 Mont. 57, 647 P.2d 847, 851 (1982)). A Montana jury could have inferred the requisite mental state from Smith’s clear description of the murders, his calm demeanor, and his testimony concerning his intent. Further, the Montana Supreme Court has held that a defendant’s “own recitation of the facts surrounding the homicide at the entry of a guilty plea” is important in evaluating proof of the requisite mental state, particularly when the statement “indicates a clear case of criminal responsibility.” State v. White, 194 Mont. 421, 632 P.2d 1118, 1121 (1981). The very few cases in which voluntary intoxication appeared to play a part in determining mens rea did not involve admission of deliberate homicide. See, e.g., Sage, 717 P.2d at 1100 (considering a case in which no motive was established and the defendant claimed that the weapon was accidentally discharged). Given the state of Montana law at the time of the plea, Smith’s own testimony, and testimony of other percipient witnesses, Smith had little to no chance of prevailing on an affirmative defense that his voluntary intoxication negated the required mens rea.
Smith cites State v. Azure, 175 Mont. 189, 573 P.2d 179 (1977), for the proposition that intoxication would have been a valid defense to deliberate homicide. Azure is not directly on point. The Montana Supreme Court reversed a lower court’s decision not to allow Azure to withdraw his guilty plea after Azure learned that his intoxication might have served as a defense against the charge of deliberate homicide. Id. at 183-84. The court did not evaluate the plausibility of such a defense; it only held that a defendant should have the chance to withdraw his plea once he learns that such a defense is possible. Smith never sought to withdraw his plea.
Smith also would have little chance of successfully asserting that he was “under the influence of extreme mental or emotional stress for which there is reasonable explanation or excuse” at the time of the murders. During the 1995 evidentiary hearing, Dr. Evans testified that at the time of the crime, Smith was “definitely” “suffering from or under the influence of extreme emotional disturbance.” However, Montana law requires more for a defendant to qualify for mitigated deliberate homicide. The Montana Supreme Court has held that the mitigated deliberate homicide defense “require[s] an extreme emotional stress resulting from provocation of some sort, in the form of a reasonable excuse or explanation.” Hans v. State, 283 Mont. 379, 942 P.2d 674, 686 (1997) (emphasis added). In State v. Buckley, 171 Mont. 238, 557 P.2d 283 (1976), the Montana Supreme Court approved the withdrawal of a mitigated deliberate homicide jury instruction because the record showed that the defendant, *991though under gunfire, did not act “excitedly” but rather with the demeanor of “a slow, deliberate, calm, and cool killer.” Id. at 285. This evidence was enough for the court to conclude that “the district court was correct in finding there was no evidence of extreme mental or emotional stress.” Id. The Montana Supreme Court has also held that the mitigated deliberate homicide defense is not satisfied by showing mere intoxication. The defense requires “extreme mental or emotional distress.” Howell, 954 P.2d at 1105; see also State v. Martin, 305 Mont. 123, 23 P.3d 216, 221 (2001) (“[W]e have repeatedly determined that evidence of a defendant’s anger or intoxication is insufficient to warrant an instruction on mitigated deliberate homicide.”).
The record in this case shows that Smith was not under any observable extreme mental or emotional distress when he committed the murders. He was never provoked. During his testimony, he affirmed that he was “of a cold and calculating mind” when he pulled the trigger. Smith had little to no chance of qualifying for mitigated deliberate homicide.
Smith cites evidence in the record that had he known about his potential defenses, he would not have pled guilty. Smith relies on a statement he made at an evidentiary hearing to support his contention that he would have gone to trial if he thought he had a viable defense: “I was pleading guilty, basically, because I saw no other alternatives____ There was no question of my guilt, but the main reason for pleading guilty was all my options had run out as far as I knew.” This post hoc statement does not overcome the record evidence that Smith was determined, for a variety of reasons, to plead guilty.
We have previously held that prejudice does not generally exist when a defendant chooses to plead guilty. See Lambert v. Blodgett, 393 F.3d 943, 980 (9th Cir.2004) (“[I]f Lambert chose to plead guilty of his own accord and for his own reasons, with full knowledge of the consequences of his plea, it is unlikely that [his attorney] could have provided any information which would have dissuaded him.”). Langford v. Day provides a useful comparison. Lang-ford was accused of deliberate homicide, aggravated kidnapping, aggravated burglary, robbery, and theft. Langford, 110 F.3d at 1383. After seeking a sentence of death and receiving it, Langford obtained new counsel and moved to withdraw his guilty pleas. He claimed ineffective assistance of counsel and stated “that he would not have pleaded guilty if he had known that legal arguments could have been made.” Id. at 1384.
Like Smith, Langford “strongly and repeatedly insisted on pleading guilty and seeking the death penalty,” a fact the Langford panel found to “overshadow[ ] this case.” Id. The panel noted that
the record strongly supports the determination of the state courts and the district court that, even if Langford had been advised as his present counsel now urges, and even if he had been offered a defense psychiatrist, he would have pleaded guilty anyway. Once it was clear that MacKay could not guarantee that Langford would not spend a long time in prison, Langford was determined and unequivocal in his decision to plead guilty and seek the death penalty. Unlike decisions about trial strategies, the decision to plead guilty was Lang-ford’s to make, and Montana’s Rules of Professional Conduct bound MacKay to that decision.
Id. at 1388.6 For that reason, the Lang-ford panel concluded that “Langford utter*992ly fails to meet [the prejudice] requirement.” Id.
The record in this case shows that Smith was similarly determined to plead guilty and seek the death penalty. Indeed, his defense attorney testified that he spent much time speaking with Smith about his decision. His attorney stated that “Mr. Smith was extraordinarily persuasive. He had relatively lengthy discussions with both myself and Mr. Moore as to why he was seeking the death penalty.” Smith corroborated this account. Smith stated that he and his attorney “talked about [his decision to pursue the death penalty], but it was mostly my convincing him that it was the right idea to do it that way. There wasn’t a lot of input from [the defense lawyer’s] side of things.” Like Langford, Smith was “determined and unequivocal in his decision to plead guilty and seek the death penalty.” Langford, 110 F.3d at 1388. In such cases, where “the defendant has his own reasons for pleading guilty,” relief is not warranted. McMann v. Richardson, 397 U.S. 759, 767, 90 S.Ct. 1441, 25 L.Ed.2d 763 (1970). Smith was not only unequivocal about his plea, he had rejected a favorable plea bargain.
We have also held that the petitioner was not prejudiced by his counsel’s performance when the petitioner “never denied his acts or suggested pleading not guilty.” Keller, 902 F.2d at 1394. Smith has never denied his guilt — in fact, he has admitted to it more than once — or sought to withdraw his plea.
We do not excuse Smith’s defense attorney’s failure to “investigate, develop and present the wealth of evidence available concerning [petitioner’s] troubled background and his emotional stability and what led to the development of the person who committed the crime,” Ainsworth v. Woodford, 268 F.3d 868, 878 (9th Cir.2001). In addition, the record establishes that Smith was independently adamant on pleading guilty and has never argued that he did not commit the crimes. Therefore, he has not established the prejudice necessary to sustain an ineffective assistance of counsel claim.
Ill
Smith also challenges his 1995 death sentence on three grounds: (1) the sentencing judge failed to consider mitigating evidence of proportionality, (2) the sentencing judge was biased against Smith, and (3) the sentence, in conjunction with the twenty-five years Smith has spent on death row, violates the Eighth Amendment’s prohibition against cruel and unusual punishment. We conclude that the district court correctly denied these claims.
A
As a preliminary matter, Montana argues that AEDPA bars Smith’s claims. First, Montana argues that we lack jurisdiction over the claims because Smith failed to satisfy AEDPA’s Certificate of Appealability requirements. Second, Montana argues that Smith failed to challenge his 1995 death sentence within AEDPA’s statute of limitations. The district court held that AEDPA did not apply to Smith’s amended habeas petition. We agree.
1
Contrary to Montana’s assertion, we have jurisdiction over Smith’s challenges to his 1995 death sentence. When the federal district court denied Smith’s peti*993tion in 1994, Smith filed a notice of appeal and obtained a Certificate of Probable Cause (“CPC”).7 Montana now argues that we lack jurisdiction over Smith’s 1995 death sentence claims because he has not obtained Certificates of Appealability for those claims. Montana’s argument fails.
AEDPA precludes an appeal from a final order in a federal habeas proceeding unless a circuit justice or judge issues a certificate of appealability (“COA”). 28 U.S.C. § 2253(c)(1). Under AEDPA, a judge may only issue a COA “if the applicant has made a substantial showing of the denial of a constitutional right.” Id. § 2253(c)(2). The COA “shall indicate which specific issue or issues satisfy the[required] showing.” Id. § 2253(c)(3).
However, the COA requirement imposed by AEDPA “applies to appellate proceedings initiated post-AEDPA.” Slack v. McDaniel, 529 U.S. 473, 481, 120 S.Ct. 1595, 146 L.Ed.2d 542 (2000). The instant “appellate proceeding” was initiated pre-AEDPA. Three days after the federal district court denied Smith’s ineffective assistance of counsel claim in January 1994, Smith initiated this appeal. The appeal received its docket number at that time. We then stayed the appeal pending Smith’s state resentencing. Although Smith appealed the denial of his amended 2002 habeas petition after AEDPA’s effective date, that appeal did not re-initiate a new proceeding; the proceeding had been initiated in 1994, before AEDPA was enacted. Thus, AEDPA’s COA requirements do not apply to Smith’s current appeal.
Before AEDPA, an appellate court was free to consider issues not listed in the CPC. Van Pilon v. Reed, 799 F.2d 1332, 1335 (9th Cir.1986) (“[T]he scope of our review cannot be limited by a certificate of probable cause.”). Because Smith obtained a CPC for one of his claims, “the district court [has] notifie[d] this court that in its opinion the petitioner is not abusing the writ through frivolous litigation.” Id. Therefore, the CPC Smith received from the district court in 1994 confers jurisdiction onto this panel to consider all of Smith’s claims.8
2
For similar reasons, we conclude that AEDPA’s statute of limitations does not bar Smith’s claims. In 1987, Smith challenged his 1984 death sentence in a petition for habeas relief. In 2002, Smith amended his petition to include claims challenging the 1995 death sentence. Montana now argues that Smith’s amended petition was untimely under AEDPA.
AEDPA imposes a one year statute of limitations on habeas petitions from the date the state judgment became final, not including time for post-conviction review. 28 U.S.C. § 2244(d). Smith argues that AEDPA’s statute of limitations does not apply to his amended petition because he filed his original habeas petition in 1986, before AEDPA was enacted. Montana argues that unless Smith’s amended petition relates back to his original petition, AED-PA’s statute of limitations applies. If AEDPA’s statute of limitations applies to Smith’s amended petition, his petition would be time-barred.
*994AEDPA’s statute of limitations does not apply to pending cases filed before the date that AEDPA took effect. In Lindh v. Murphy, 521 U.S. 320, 117 S.Ct. 2059, 138 L.Ed.2d 481 (1997), the Court stated that AEDPA “reveals Congress’s intent to apply the amendments to chapter 153 only to such cases as were filed after [AEDPA’s] enactment....” Lindh, 521 U.S. at 326, 117 S.Ct. 2059 (emphasis added); see also Jeffries v. Wood, 114 F.3d 1484, 1499 (9th Cir.1997) (en banc). The Supreme Court later explained that “we held in Lindh that the new provisions of chapter 153 of Title 28 do not apply to cases pending as of the date AEDPA became effective.” Woodford v. Garceau, 538 U.S. 202, 205, 123 S.Ct. 1398, 155 L.Ed.2d 363 (2003); see also Jackson v. Brown, 513 F.3d 1057, 1069 (9th Cir.2008) (general AEDPA provisions did not apply to petition because it was filed before AEDPA’s effective date).
The consistent use of the word “case” rather than “petition” or “application” suggests that the relation back doctrine does not govern AEDPA’s application to amended habeas petitions. Although Smith’s amended petition does not relate back to his original petition, it is part of the same case.9 In 2002, we permitted Smith to amend his petition; we did not force him to commence another case against Montana.
Montana urges us to adopt the relation back doctrine, set out by Rule 15(c) of the Federal Rules of Civil Procedure, to determine whether AEDPA applies to the amended petition. Rule 15 states that “[a]n amendment to a pleading relates back to the date of the original pleading when the amendment asserts a claim or defense that arose out of the conduct, transaction, or occurrence set out — or attempted to be set out — in the original pleading....” Fed.R.Civ.P. 15(c). Montana cites Mayle v. Felix, 545 U.S. 644, 125 S.Ct. 2562, 162 L.Ed.2d 582 (2005), in support of its argument that a strict form of the relation back doctrine applies here. See id. at 650, 125 S.Ct. 2562 (“An amended habeas petition ... does not relate back (and thereby escape AEDPA’s one-year time limit) when it asserts a new ground for relief supported by facts that differ in both time and type from those the original pleading set forth.”).
Mayle is inapposite. In Mayle, the petitioner’s original habeas petition was filed after AEDPA’s effective date. The petition was therefore already subject to AEDPA’s requirements. That AEDPA already applied to the petition influenced the Court’s decision to apply a modified version of the relation back doctrine. See id. at 662, 125 S.Ct. 2562 (“If claims asserted after the one-year period could be revived simply because they relate to the same trial, conviction, or sentence as a timely filed claim, AEDPA’s limitation period would have slim significance.”); id. at 663, 125 S.Ct. 2562 (“Given AEDPA’s ‘finality’ and ‘federalism’ concerns, it would be anomalous to allow relation back under Rule 15(c)(2) based on a broader reading of the words ‘conduct, transaction, or occurrence’ in federal habeas proceedings than in ordinary civil litigation.” (citations omitted)). Mayle thus resolved the question of how to interpret the relation back doctrine within the context of AEDPA’s intents and constraints. The question in this case is quite different: whether AEDPA applies to *995Smith’s amended petition at all, given that it does not apply to his original petition.
Under the plain language of the Supreme Court in Lindh, an amended petition filed after AEDPA was enacted is not subject to AEDPA’s statute of limitations as long as the amendment is part of a case pending at the time AEDPA was enacted. This conclusion is consistent with the treatment we have afforded such petitions in similar circumstances. See, e.g., Allen v. Roe, 305 F.3d 1046, 1049-50 (9th Cir.2002) (holding that because petitioner filed his original habeas petition before AEDPA, his amended petition was governed by pre-AEDPA law); Mancuso v. Olivarez, 292 F.3d 939, 949 (9th Cir.2002) (holding under Lindh that review of the amended petition was governed by pre-AEDPA standards and precedent because Mancuso filed his petition prior to the effective date of AEDPA); Anthony v. Cambra, 236 F.3d 568, 576-77 (9th Cir.2000) (holding that the petitioner escaped AEDPA’s time limits because his amended post-AEDPA petition related back to his original pre-AEDPA petition).10
Thus, under the circumstances presented here, because Smith’s habeas case was pending when AEDPA was enacted, his amended petition is not subject to AEDPA’s statute of limitations.
B
For the foregoing reasons, we evaluate the merits of Smith’s claims under preAEDPA standards. Habeas relief may be granted “only on the ground that [petitioner] is in custody in violation of the Constitution or laws or treaties of the United States.” 28 U.S.C. § 2254(a). A state court “determination after a hearing on the merits of a factual issue” should be presumed correct unless the petitioner can establish error. Id. § 2254(d)(1)-(8) (listing the types of error). When a habeas petitioner does not establish, the respondent will not admit, and the federal court does not find, any one or more of the conditions listed by § 2254(d)(1)-(8), “the burden shall rest upon the applicant to establish by convincing evidence that the factual determination by the State court was erroneous.” Id. § 2254(d).
We review the district court’s decision to deny a 28 U.S.C. § 2254 habeas petition de novo, Benitez v. Garcia, 449 F.3d 971, 974 (9th Cir.2006), and we are not bound by the reasoning of the district court, Buckley v. Terhune, 441 F.3d 688, 694 (9th Cir.2006) (en banc).
1
The district court did not err in denying Smith’s claim that the state court unconstitutionally declined to consider mitigation evidence.. At his 1995 sentencing hearing, Smith presented evidence that a sentence of death would be disproportionate to the sentences imposed on other defendants convicted of aggravated homicide in Montana. Judge Larson did not specifically consider that mitigation evidence in his death sentence. On direct appeal, the Montana Supreme Court con*996ducted a proportionality review, as mandated by Montana statute, Mont.Code Ann. § 46-18-310, and found that Smith’s death sentence was not “excessive or disproportionate to the penalty imposed in similar cases.” Smith, 931 P.2d at 1286.
Smith argues that this review violated Lockett v. Ohio, 438 U.S. 586, 98 S.Ct. 2954, 57 L.Ed.2d 973 (1978). However, in Lockett, the Supreme Court held only that sentencing courts must consider mitigating evidence when it includes “any aspect of a defendant’s character or record and any of the circumstances of the offense that the defendant proffers as a basis for a sentence less than death.” Id. at 604, 98 S.Ct. 2954. Sentence proportionality is not mitigating evidence of that type. The Court also held that “[n]othing in this opinion limits the traditional authority of a court to exclude, as irrelevant, evidence not bearing on the defendant’s character, prior record, or the circumstances of his offense.” Id. at 604 n. 12, 98 S.Ct. 2954. Moreover, “[w]hat is important at the selection stage is an individualized determination on the basis of the character of the individual and the circumstances of the crime.” Zant v. Stephens, 462 U.S. 862, 879, 103 S.Ct. 2733, 77 L.Ed.2d 235 (1983). These statements suggest that non-character, non-circumstance evidence need not factor into the constitutionality of a death sentence.
Our decision in Beardslee v. Woodford, 358 F.3d 560 (9th Cir.2004) is instructive. In Beardslee, we rejected the petitioner’s claim that his co-defendants’ lesser sentences must be considered as mitigating evidence. The petitioner argued that his co-defendants’ sentences were circumstance evidence within the meaning of that term in Lockett. Id. at 579. We rejected that argument and held that “[although a trial court is not necessarily precluded from allowing consideration of co-defendant sentences, a trial court does not commit constitutional error under Lockett by refusing to allow such evidence.” Id. at 579.
Smith’s argument fails because neither the Ninth Circuit nor the Supreme Court has ever held that a sentencing court must consider mitigating evidence of the type Smith presented.
2
Smith’s second challenge to his 1995 death sentence is that Judge Larson was biased against Smith because he considered both the testimony of Dr. Stratford-— the original psychologist whose evaluation was rejected by the Ninth Circuit — and the prior three death sentences in reaching his judgment. Smith also contends that Judge Larson issued his sentence under the influence of passion, prejudice, and other arbitrary factors as evidenced by remarks he made to the press. The district court denied Smith’s request for an evidentiary hearing on judge bias.
A habeas petitioner “is not entitled to discovery as a matter of ordinary course.” Bracy v. Gramley, 520 U.S. 899, 904, 117 S.Ct. 1793, 138 L.Ed.2d 97 (1997). Rule 6(a) of the Rules Governing § 2254 Cases states that “[a] party shall be entitled to invoke the processes of discovery available under the Federal Rules of Civil Procedure if, and to the extent that, the judge in the exercise of his discretion and for good cause shown grants leave to do so, but not otherwise.” U.S.C. § 2254 Cases R. 6(a). Good cause exists “where specific allegations before the court show reason to believe that the petitioner may, if the facts are fully developed, be able to demonstrate that he is ... entitled to relief....” Bracy, 520 U.S. at 908-09, 117 S.Ct. 1793 (quoting Harris v. Nelson, 394 U.S. 286, 300, 89 S.Ct. 1082, 22 L.Ed.2d 281 (1969) (alteration in original)). Where good cause exists, “it is the duty of the court to provide the necessary facilities *997and procedures for an adequate inquiry.” Harris, 394 at 300, 89 S.Ct. 1082.
We review the district court’s denial of discovery and an evidentiary hearing for abuse of discretion. See Beardslee, 358 F.3d at 573. “[A] district court abuse[s] its discretion in not ordering Rule 6(a) discovery when diseovery[i]s ‘essential’ for the habeas petitioner to ‘develop fully’ his underlying claim.” Dung The Pham v. Terhune, 400 F.3d 740, 743 (9th Cir.2005) (quoting Jones v. Wood, 114 F.3d 1002, 1009 (9th Cir.1997)). Smith need not “demonstrate that he will ultimately prevail on his underlying” claim. Id. However, an evidentiary hearing is not required “on issues that can be resolved by reference to the state court record.” Campbell v. Wood, 18 F.3d 662, 679 (9th Cir.1994).
The Due Process clause “requires a fair trial in a fair tribunal before a judge with no actual bias against the defendant or interest in the outcome of his particular case.” Bracy, 520 U.S. at 904-05, 117 S.Ct. 1793 (internal quotation marks and citations omitted). “[O]nly in the most extreme of cases would disqualification on [the basis of judge bias] be constitutionally required.... ” Aetna Life Ins. Co. v. Lavoie, 475 U.S. 813, 821, 106 S.Ct. 1580, 89 L.Ed.2d 823 (1986).
Smith’s judge bias claims, even if fully developed, do not rise to the level of constitutional violations. Smith’s first claim is that Judge Larson improperly relied upon the testimony of Dr. Stratford. Judge Larson did reference Dr. Stratford in his opinion. However, he did so in the context of a recitation of historical facts. As the district court found, “there is absolutely no evidence that Judge Larson went outside the record and relied upon the report or testimony of Dr. Stratford.” As the district court aptly noted, Judge Larson stated the bases for his findings with particularity and did not mention Dr. Stratford’s medical opinion to support any of his findings.
Smith’s second claim is that Judge Larson was biased against Smith by familiarizing himself with the previous death sentences in the case. Nothing in Judge Larson’s opinion suggests that he was biased by Smith’s previous sentences. No rule of constitutional law prohibits a judge from acquainting himself with the procedural history of his case.
Finally, Smith claims that Judge Larson revealed his bias in comments he made to the press about Smith’s case. However, Judge Larson’s comments in the newspaper consisted of two innocuous statements about attorneys’ fees. Smith also contends that Judge Larson was influenced by incendiary articles in the press and by another judge who had been recused from hearing Smith’s case and who shared office space with Judge Larson. Smith tenders no evidence, aside from speculation, that Judge Larson was influenced by the press or by another judge.
Because Smith has failed to develop his claim of judicial bias sufficiently to warrant an evidentiary hearing, the district court did not abuse its discretion in declining to hold one.
3
Finally, Smith argues that his continued incarceration violates the Eighth Amendment. Such a claim is termed a “Lackey” claim after Lackey v. Texas, 514 U.S. 1045, 115 S.Ct. 1421, 131 L.Ed.2d 304 (1995), a death penalty case that the Supreme Court declined to hear. In Lackey, the petitioner brought an Eighth Amendment claim similar to the one Smith brings now. Justice Stevens, joined by Justice Breyer, issued a memorandum “respecting the denial of certiorari” but stating that the Eighth Amendment claim “seems an ideal example of one which would benefit *998from [] further study.” Id. at 1047, 115 S.Ct. 1421.
Lackey claims are grounded in the constitutional principles that constrain the death penalty. While the death penalty can be justified by “retribution and deterrence of capital crimes by prospective offenders,” an execution “cannot be so totally without penological justification that it results in the gratuitous infliction of suffering.” Gregg v. Georgia, 428 U.S. 153, 183, 96 S.Ct. 2909, 49 L.Ed.2d 859 (1976) (plurality opinion). Justice White, concurring in Furman v. Georgia, 408 U.S. 238, 92 S.Ct. 2726, 33 L.Ed.2d 346 (1972), opined that
At the moment that [a proposed execution] ceases realistically to further these purposes [of deterrence and the coherent expression of moral outrage], the emerging question is whether its imposition in such circumstances would violate the Eighth Amendment. It is my view that it would, for its imposition would then be the pointless and needless extinction of life with only marginal contributions to any discernible social or public purposes. A penalty with such negligible returns to the State would be patently excessive and cruel and unusual punishment violative of the Eighth Amendment.
Furman, 408 U.S. at 312, 92 S.Ct. 2726 (White, J., concurring). Smith contends that his four sentences in combination with his twenty-five years on death row satisfied any need for retribution and deterrence and that any penalty beyond such punishment violates the Eighth Amendment.
Montana responds that Smith asks for a new rule of constitutional law. Courts may not announce new rules of constitutional law on habeas review. Teague v. Lane, 489 U.S. 288, 316, 109 S.Ct. 1060, 103 L.Ed.2d 334 (1989) (“[H]abeas corpus cannot be used as a vehicle to create new constitutional rules of criminal procedure unless those rules would be applied retroactively to all defendants on collateral review through one of the two exceptions we have articulated.”). A case announces a new rule “when it breaks new ground or imposes a new obligation on the States or the Federal Government ... [or] if the result was not dictated by precedent existing at the time the defendant’s conviction became final.” Teague, 489 U.S. at 301, 109 S.Ct. 1060. The relevant inquiry is “whether a state court considering [Smith’s] claim at the time his conviction became final would have felt compelled by existing precedent to conclude that the rule[Smith] seeks was required by the Constitution.” Saffle v. Parks, 494 U.S. 484, 488, 110 S.Ct. 1257, 108 L.Ed.2d 415 (1990).
We have rejected Lackey claims in the past. In Allen v. Omoski, 435 F.3d 946 (9th Cir.2006), we determined, in the context of AEDPA, that “[t]he Supreme Court has never held that execution after a long tenure on death row is cruel and unusual punishment.” Id. at 958; see also Knight v. Florida, 528 U.S. 990, 120 S.Ct. 459, 145 L.Ed.2d 370 (1999) (Thomas, J., concurring in denial of certiorari) (“I am unaware of any support in the American constitutional tradition or in this Court’s precedent for the proposition that a defendant can avail himself of the panoply of appellate and collateral procedures and then complain when his execution is delayed.”); McKenzie v. Day, 57 F.3d 1461, 1470 (9th Cir.1995) (casting doubt on the contention that “the inordinate delay in carrying out the sentence of death, regardless of any other factor, conclusively establishes that he has suffered cruel and unusual punishment”).
In sum, a state court considering Smith’s Eighth Amendment claim at the time his conviction became final would not have felt compelled by existing precedent *999to conclude that the rule sought was required by the Constitution. See Saffle, 494 U.S. at 488, 110 S.Ct. 1257. Enforcing the rule proposed by Smith would therefore “break[] new ground or impose[] a new obligation on the States,” Teague, 489 U.S. at 301, 109 S.Ct. 1060, and we must therefore reject it.
IV
By all accounts, Smith has reformed his life. He has developed strong relationships with various members of his family and has taken advantage of the educational opportunities offered by the prison that houses him. He has expressed deep regret for his deplorable actions. However, consideration of these issues are beyond our jurisdiction in this case. Clemency claims are committed to the wisdom of the executive branch. On the legal issues presented to us, we affirm the judgments of the district court denying Smith’s petition for a writ of habeas corpus.
AFFIRMED.
. Smith’s and Munro's versions differ. Smith testified that he threatened Munro with death if Munro did not kill Running Rabbit, at which point Smith claimed that Munro stabbed Running Rabbit. Munro testified that he chose to stab Running Rabbit without being threatened by Smith.
. At the time of sentencing, Montana law provided for judge sentencing in capital cases. Mont.Code Ann. § 46-18-301 (1983). The United States Supreme Court held that judge sentencing in capital cases violated the Sixth Amendment. Ring v. Arizona, 536 U.S. 584, 609, 122 S.Ct. 2428, 153 L.Ed.2d 556 (2002). However, the Court later held that the rule announced in Ring did not apply retroactively. Schriro v. Summerlin, 542 U.S. 348, 358, 124 S.Ct. 2519, 159 L.Ed.2d 442 (2004).
. As a preliminary matter, Montana argues that Smith has not exhausted his ineffective assistance claim. However, Smith raised the failure to investigate and advise claims in his petition for collateral relief to the Montana Supreme Court in 1986. In that petition. Smith contended that his defense lawyer "failed to investigate and/or present available evidence in mitigation at the first sentencing hearing,” that his lawyer "failed to advise Petitioner that the facts as testified to by him did not establish necessary proof of the crime with which he was charged,” and that his lawyer "failed to have Petitioner examined by a competent psychiatric expert to determine his capacity to understand and enter into his guilty plea.” Those three claims, taken together, satisfy exhaustion. See also Smith, 914 F.2d at 1170 (finding in 1990 that Smith had exhausted his claims before bringing the habeas petition). In addition, Montana did not raise this argument below. In its response to Smith's habeas petition, it stated: "No claim is made by respondents that petitioner has not exhausted his state remedies with respect to the claims presented here.”
. "[MJental health issues are ... ubiquitous in capital defense.” American Bar Association, Guidelines for the Appointment and Performance of Defense Counsel in Death Penalty Cases 31 (2003), available at http://www. abanet.org/legalservices/downloads/sclaid/ indigentdefense/ deathpenaltyguidelines2003.pdf. Mental illness can be difficult for non-mental health professionals to detect. Recognizing this fact, the ABA in 2003 issued guidelines on mental illness detection in capital cases:
Counsel’s own observations of the client's mental status, while necessary, can hardly be expected to be sufficient to detect the array of conditions (e.g., post-traumatic stress disorder, fetal alcohol syndrome, pesti*988tide poisoning, lead poisoning, schizophrenia, mental retardation) that could be of critical importance. Accordingly, Subsection A(2) mandates that at least one member of the defense team (whether one of the four individuals constituting the smallest allowable team or an additional team member) be a person qualified by experience and training to screen for mental or psychological disorders or defects and recommend such further investigation of the subject as may seem appropriate.
Id. (emphasis added). Of course, these standards were not the "prevailing legal norms at the time” of Smith’s first sentencing.
. Although we ultimately conclude that Smith would have had difficulty prevailing on intoxication and emotional stress defenses in Montana court, he could have used those facts as mitigating circumstances during his initial sentencing.
. The Supreme Court has let death sentences stand when defendants have sought the death *992penalty and took no adversarial action at trial. See Hammett v. Texas, 448 U.S. 725, 100 S.Ct. 2905, 65 L.Ed.2d 1086 (1980); Lenhard v. Wolff, 444 U.S. 807, 100 S.Ct. 29, 62 L.Ed.2d 20 (1979).
. Before the passage of the AEDPA, 28 U.S.C. § 2253 required state prisoners seeking to appeal denials of habeas relief to obtain a Certificate of Probable Cause, which could be issued if the prisoner made a substantial showing of the denial of a federal right. Fuller v. Roe, 182 F.3d 699, 702 (9th Cir.1999).
. Montana argues that because Smith moved for a COA on his more recent claims he is precluded from now arguing that he did not need a COA. However, nowhere in Smith’s motion for a COA did Smith concede that AEDPA applied to this appeal.
. The Supreme Court has defined a "case” as "a claim ‘brought before the court(s) for determination by such regular proceedings as are established by law or custom for the protection or enforcement of rights, or the prevention, redress, or punishment of wrongs.’” Calderon v. Ashmus, 523 U.S. 740, 746, 118 S.Ct. 1694, 140 L.Ed.2d 970 (1998) (quoting Fairchild v. Hughes, 258 U.S. 126, 129, 42 S.Ct. 274, 66 L.Ed. 499 (1922)).
. We have held that an amended habeas petition does not relate back to a petition that was dismissed for failure to exhaust state remedies. See Tuan Van Tran v. Lindsey, 212 F.3d 1143, 1148-49 (9th Cir.2000) (holding that an amended petition cannot relate back to a pre-AEDPA petition if that first petition was dismissed for failure to exhaust state remedies), overruled on other grounds by Lockyer v. Andrade, 538 U.S. 63, 123 S.Ct. 1166, 155 L.Ed.2d 144 (2003); Green v. White, 223 F.3d 1001, 1003 (9th Cir.2000) (“A second habeas petition does not relate, back to a first habeas petition when the first habeas petition was dismissed for failure to exhaust state remedies.”). However, the original petition here does not contain those procedural deficiencies and was not dismissed on those grounds.