Details

analyze1.4s (2.8%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 42 to 30 computations (28.6% saved)

sample60.0ms (0.1%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
12.0ms	256×	pre	128	true

Compiler

Compiled 69 to 50 computations (27.5% saved)

simplify23.0ms (0%)

Algorithm

1×	egg-herbie

Rules

cancel-sign-sub-inv_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64`
sub-neg_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41`
div-sub_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40`
distribute-rgt-neg-in_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31`
distribute-rgt-in_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	26
1	30	26
2	41	26
3	53	26
4	62	26
5	73	26
6	93	26
7	121	26
8	143	26
9	160	26
10	199	26
11	215	26
12	303	26
13	290	26
14	316	26
15	311	26
16	312	26
17	271	26

prune7.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

12.4b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	12.4b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

Compiler

Compiled 44 to 30 computations (31.8% saved)

localize40.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f32 cos2phi (*.f32 alphax alphax))
0.3b	(/.f32 sin2phi (*.f32 alphay alphay))
0.6b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
13.6b	(log.f32 (-.f32 1 u0))

rewrite240.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

8.4b

Rules

*-un-lft-identity_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65`
times-frac_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53`
add-sqr-sqrt_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39`
add-cube-cbrt_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36`
distribute-lft-neg-in_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19`

Counts

4 → 140

Calls

4 calls:

15.0ms	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
4.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
4.0ms	(/.f32 cos2phi (*.f32 alphax alphax))
3.0ms	(log.f32 (-.f32 1 u0))

Compiler

Compiled 3127 to 1166 computations (62.7% saved)

series360.0ms (0.7%)

Error

0.4b

Counts

4 → 60

Calls

4 calls:

238.0ms	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
29.0ms	(/.f32 cos2phi (*.f32 alphax alphax))
28.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
19.0ms	(log.f32 (-.f32 1 u0))

Compiler

Compiled 3369 to 2479 computations (26.4% saved)

simplify193.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

associate-/l/_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254` `255` `256` `257` `258` `259` `260` `261` `262` `263` `264` `265` `266` `267` `268` `269` `270` `271` `272` `273` `274` `275` `276` `277` `278` `279` `280` `281` `282` `283` `284` `285` `286` `287` `288` `289` `290` `291` `292` `293` `294` `295` `296` `297` `298` `299` `300` `301` `302` `303` `304` `305` `306` `307` `308` `309` `310` `311` `312` `313` `314` `315` `316` `317` `318` `319` `320` `321` `322` `323` `324` `325` `326` `327` `328` `329` `330` `331` `332` `333` `334` `335` `336` `337` `338` `339` `340` `341` `342` `343` `344` `345` `346` `347` `348` `349` `350` `351` `352` `353` `354` `355` `356` `357` `358`
div-sub_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254` `255` `256` `257` `258` `259` `260` `261` `262` `263` `264` `265` `266` `267` `268` `269` `270` `271` `272` `273` `274` `275` `276` `277` `278` `279` `280` `281` `282` `283` `284` `285` `286` `287` `288` `289` `290` `291` `292` `293` `294` `295` `296` `297` `298` `299` `300` `301` `302` `303` `304` `305` `306` `307` `308` `309` `310` `311` `312` `313` `314` `315` `316` `317` `318` `319` `320` `321`
associate-/r/_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254` `255` `256` `257` `258` `259` `260` `261` `262` `263` `264` `265` `266` `267` `268` `269` `270` `271` `272` `273` `274` `275` `276` `277` `278` `279` `280` `281` `282` `283` `284` `285` `286` `287` `288` `289` `290` `291` `292` `293` `294` `295` `296` `297` `298` `299` `300` `301` `302` `303` `304` `305` `306`
associate-/l*_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183`
times-frac_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173`

Counts

200 → 165

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	302	6320
1	700	6176
2	2226	6170
3	4678	6170
4	5154	6170

prune188.0ms (0.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	151	14	165
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	152	14	166

Error

0.2b

Counts

166 → 14

Alt Table

Status	Error	Program
	12.7b	(/.f32 -1 (/.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))) (log.f32 (-.f32 1 u0))))
	3.3b	(+.f32 (/.f32 u0 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (+.f32 (.f32 1/2 (.f32 (/.f32 u0 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) u0)) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))))
	12.5b	(.f32 (/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (/.f32 (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0)))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	8.1b	(/.f32 u0 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))
	12.5b	(.f32 (/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (.f32 (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (/.f32 (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))
▶	2.6b	(/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0)) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
	13.1b	(/.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u0 u0))) (log.f32 (+.f32 u0 1)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	12.4b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 (.f32 (cbrt.f32 sin2phi) (cbrt.f32 sin2phi)) (/.f32 alphay (/.f32 (cbrt.f32 sin2phi) alphay)))))
	12.4b	(.f32 (/.f32 -1 (.f32 (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (/.f32 (log.f32 (-.f32 1 u0)) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	12.2b	(.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (.f32 (.f32 alphay alphay) cos2phi) (.f32 sin2phi (.f32 alphax alphax)))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
	4.6b	(/.f32 (neg.f32 (.f32 u0 (-.f32 -1 (.f32 1/2 u0)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
	13.2b	(/.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (.f32 u0 u0)))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	12.4b	(.f32 (.f32 (cbrt.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (cbrt.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (cbrt.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	12.8b	(exp.f32 (log.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))

Compiler

Compiled 3501 to 1501 computations (57.1% saved)

localize66.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f32 sin2phi (*.f32 alphay alphay))
0.3b	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 1/3 u0)))
0.3b	(*.f32 1/3 u0)
0.6b	(/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0)) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

rewrite411.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

*-un-lft-identity_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88`
add-sqr-sqrt_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61`
times-frac_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58`
add-cube-cbrt_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38`
distribute-lft-neg-in_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24`

Counts

4 → 155

Calls

4 calls:

19.0ms	(/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0)) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
7.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 1/3 u0)))
4.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
4.0ms	(*.f32 1/3 u0)

Compiler

Compiled 5888 to 2764 computations (53.1% saved)

series1.1s (2.2%)

Error

0.1b

Counts

4 → 63

Calls

4 calls:

915.0ms	(/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0)) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
37.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
27.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 1/3 u0)))
15.0ms	(*.f32 1/3 u0)

Compiler

Compiled 11419 to 8488 computations (25.7% saved)

simplify250.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

times-frac_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254` `255` `256` `257` `258` `259` `260` `261` `262` `263` `264` `265` `266` `267` `268` `269` `270` `271` `272` `273` `274` `275` `276` `277` `278` `279` `280` `281` `282` `283` `284` `285` `286` `287` `288` `289` `290` `291` `292` `293` `294` `295` `296` `297` `298` `299` `300` `301` `302` `303` `304` `305` `306` `307` `308` `309` `310` `311` `312` `313` `314` `315` `316` `317` `318` `319` `320` `321` `322` `323` `324` `325` `326` `327` `328` `329` `330` `331` `332` `333` `334` `335` `336` `337` `338` `339` `340` `341` `342` `343` `344` `345` `346` `347` `348` `349` `350` `351` `352` `353` `354` `355` `356` `357` `358` `359` `360` `361` `362` `363` `364` `365` `366` `367` `368` `369` `370` `371` `372` `373` `374` `375` `376` `377` `378` `379` `380` `381` `382` `383` `384` `385` `386` `387` `388` `389` `390` `391` `392` `393` `394` `395` `396` `397` `398` `399` `400` `401` `402` `403` `404` `405` `406` `407` `408` `409` `410` `411` `412` `413` `414` `415` `416` `417` `418` `419` `420` `421` `422` `423` `424` `425` `426` `427` `428` `429` `430` `431` `432` `433` `434` `435` `436` `437` `438` `439` `440` `441`
associate-/l*_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254` `255` `256` `257` `258` `259` `260` `261` `262` `263` `264` `265` `266` `267` `268` `269` `270` `271` `272` `273` `274` `275` `276` `277` `278` `279` `280` `281` `282` `283` `284` `285` `286` `287` `288` `289` `290` `291` `292` `293` `294` `295` `296` `297` `298` `299` `300` `301` `302` `303` `304` `305` `306` `307` `308` `309` `310` `311` `312` `313` `314` `315` `316` `317` `318` `319` `320` `321` `322` `323` `324` `325` `326` `327` `328` `329` `330` `331` `332` `333` `334` `335` `336` `337` `338` `339` `340` `341` `342` `343` `344` `345` `346` `347` `348` `349` `350` `351` `352` `353` `354` `355` `356` `357` `358` `359` `360` `361` `362` `363` `364` `365` `366` `367` `368` `369` `370` `371` `372` `373` `374` `375` `376` `377` `378` `379` `380` `381` `382` `383` `384` `385` `386` `387` `388` `389` `390` `391` `392` `393` `394` `395` `396` `397` `398` `399` `400` `401` `402` `403` `404`
associate-r_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254` `255` `256` `257` `258` `259` `260` `261` `262` `263` `264` `265` `266` `267` `268` `269` `270` `271` `272` `273` `274` `275` `276` `277` `278` `279` `280` `281` `282` `283` `284` `285` `286` `287` `288` `289` `290` `291` `292` `293` `294` `295` `296` `297` `298` `299` `300` `301` `302` `303` `304` `305` `306` `307` `308` `309` `310` `311` `312` `313` `314` `315` `316` `317` `318` `319` `320` `321` `322` `323` `324` `325` `326` `327` `328` `329` `330` `331` `332` `333` `334` `335` `336` `337` `338` `339` `340` `341` `342` `343` `344` `345` `346` `347` `348` `349` `350` `351` `352` `353` `354` `355` `356` `357` `358` `359` `360` `361` `362` `363` `364` `365` `366` `367` `368` `369` `370` `371` `372` `373` `374` `375` `376` `377` `378` `379` `380` `381` `382` `383` `384`
associate-l_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254` `255` `256` `257` `258` `259` `260` `261` `262` `263` `264` `265` `266` `267` `268` `269` `270` `271` `272` `273` `274` `275` `276` `277` `278` `279` `280` `281` `282` `283` `284` `285` `286` `287` `288` `289` `290` `291` `292` `293` `294` `295` `296` `297` `298` `299` `300` `301` `302` `303` `304` `305` `306` `307` `308` `309` `310` `311` `312` `313` `314` `315` `316` `317` `318` `319` `320` `321` `322` `323` `324` `325` `326` `327` `328` `329` `330` `331` `332` `333` `334` `335` `336` `337` `338` `339` `340` `341` `342` `343` `344` `345` `346` `347` `348` `349` `350` `351` `352` `353` `354` `355` `356` `357` `358` `359` `360` `361` `362` `363` `364` `365` `366` `367` `368`
associate-/r*_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238`

Counts

218 → 194

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	469	16598
1	1351	16284
2	5213	16284

prune442.0ms (0.9%)

Pruning

18 alts after pruning (18 fresh and 0 done)

	Pruned	Kept	Total
New	187	7	194
Fresh	2	11	13
Picked	1	0	1
Done	0	0	0
Total	190	18	208

Error

0.0b

Counts

208 → 18

Alt Table

Status	Error	Program
▶	2.7b	(.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0)) (/.f32 1 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))
	12.7b	(/.f32 -1 (/.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))) (log.f32 (-.f32 1 u0))))
	2.9b	(.f32 (/.f32 -1 (.f32 (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (/.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	3.0b	(.f32 (/.f32 (.f32 (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0))) (.f32 (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (/.f32 (neg.f32 (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))
	2.8b	(.f32 (sqrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (sqrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))
	12.5b	(.f32 (/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (/.f32 (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0)))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	3.0b	(/.f32 (.f32 (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0)) (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0))) (/.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))) (neg.f32 (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3))))) u0)))))
	12.5b	(.f32 (/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (.f32 (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (/.f32 (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))
	13.1b	(/.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u0 u0))) (log.f32 (+.f32 u0 1)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	12.4b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 (.f32 (cbrt.f32 sin2phi) (cbrt.f32 sin2phi)) (/.f32 alphay (/.f32 (cbrt.f32 sin2phi) alphay)))))
	12.4b	(.f32 (/.f32 -1 (.f32 (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (/.f32 (log.f32 (-.f32 1 u0)) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	12.2b	(.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (.f32 (.f32 alphay alphay) cos2phi) (.f32 sin2phi (.f32 alphax alphax)))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
	4.6b	(/.f32 (neg.f32 (.f32 u0 (-.f32 -1 (.f32 1/2 u0)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
	3.0b	(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) 3) (pow.f32 u0 3))) (.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))) (+.f32 (.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))) (.f32 u0 (+.f32 u0 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3))))))))))
	13.2b	(/.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (.f32 u0 u0)))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	2.9b	(.f32 (.f32 (cbrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (cbrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (cbrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	12.4b	(.f32 (.f32 (cbrt.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (cbrt.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (cbrt.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	12.8b	(exp.f32 (log.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))

Compiler

Compiled 8491 to 4392 computations (48.3% saved)

localize72.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0)) (/.f32 1 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))
0.3b	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 1/3 u0)))
0.3b	(*.f32 1/3 u0)
0.8b	(/.f32 1 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))

rewrite419.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

*-un-lft-identity_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45`
add-sqr-sqrt_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40`
add-cube-cbrt_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26`
times-frac_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25`
associate-r_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24`

Counts

4 → 137

Calls

4 calls:

28.0ms	(.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0)) (/.f32 1 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))
10.0ms	(/.f32 1 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))
7.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 1/3 u0)))
3.0ms	(*.f32 1/3 u0)

Compiler

Compiled 5605 to 2690 computations (52% saved)

series1.3s (2.7%)

Error

0.0b

Counts

4 → 99

Calls

4 calls:

919.0ms	(.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0)) (/.f32 1 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))
221.0ms	(/.f32 1 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))
29.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 1/3 u0)))
15.0ms	(*.f32 1/3 u0)

Compiler

Compiled 13781 to 10267 computations (25.5% saved)

simplify228.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

associate-r_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254` `255` `256` `257` `258` `259` `260` `261` `262` `263` `264` `265` `266` `267` `268` `269` `270` `271` `272` `273` `274` `275` `276` `277` `278` `279` `280` `281` `282` `283` `284` `285` `286` `287` `288` `289` `290` `291` `292` `293` `294` `295` `296` `297` `298` `299` `300` `301` `302` `303` `304` `305` `306` `307` `308` `309` `310` `311` `312` `313` `314` `315` `316` `317` `318` `319` `320` `321` `322` `323` `324` `325` `326` `327` `328` `329` `330` `331` `332` `333` `334` `335` `336` `337` `338` `339` `340` `341` `342` `343` `344` `345` `346` `347` `348` `349` `350` `351` `352` `353` `354` `355` `356` `357` `358` `359` `360` `361` `362` `363` `364` `365` `366` `367` `368` `369` `370` `371` `372` `373` `374` `375` `376` `377` `378` `379` `380` `381` `382` `383` `384` `385` `386` `387` `388` `389` `390` `391` `392` `393` `394` `395` `396` `397` `398` `399` `400` `401` `402` `403` `404` `405` `406` `407` `408` `409` `410` `411` `412` `413`
associate-l_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254` `255` `256` `257` `258` `259` `260` `261` `262` `263` `264` `265` `266` `267` `268` `269` `270` `271` `272` `273` `274` `275` `276` `277` `278` `279` `280` `281` `282` `283` `284` `285` `286` `287` `288` `289` `290` `291` `292` `293` `294` `295` `296` `297` `298` `299` `300` `301` `302` `303` `304` `305` `306` `307` `308` `309` `310` `311` `312` `313` `314` `315` `316` `317` `318` `319` `320` `321` `322` `323` `324` `325` `326` `327` `328` `329` `330` `331` `332` `333` `334` `335` `336` `337` `338` `339` `340` `341` `342` `343` `344` `345` `346` `347` `348` `349` `350` `351` `352` `353` `354` `355` `356` `357` `358` `359` `360` `361` `362` `363` `364` `365` `366` `367` `368` `369` `370` `371` `372` `373` `374` `375` `376` `377` `378` `379` `380` `381` `382` `383` `384` `385` `386` `387` `388` `389` `390` `391` `392` `393` `394` `395` `396` `397` `398` `399` `400` `401` `402` `403` `404` `405` `406` `407` `408`
times-frac_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254` `255` `256` `257` `258` `259` `260` `261` `262` `263` `264` `265` `266` `267` `268` `269` `270` `271` `272` `273` `274` `275` `276` `277` `278` `279` `280` `281` `282` `283` `284` `285` `286` `287` `288` `289` `290` `291` `292` `293` `294` `295` `296` `297` `298` `299` `300` `301` `302` `303` `304` `305` `306` `307` `308` `309` `310` `311` `312` `313` `314` `315` `316` `317` `318` `319` `320` `321` `322` `323` `324` `325` `326` `327` `328` `329` `330` `331` `332` `333` `334` `335` `336` `337` `338` `339` `340` `341` `342` `343` `344` `345` `346` `347` `348` `349` `350` `351` `352` `353` `354` `355` `356` `357` `358` `359` `360` `361` `362` `363` `364` `365` `366` `367` `368` `369` `370` `371` `372` `373` `374` `375` `376` `377` `378` `379` `380` `381` `382` `383` `384` `385` `386` `387` `388` `389` `390` `391` `392` `393` `394` `395` `396` `397` `398` `399` `400` `401` `402` `403` `404` `405`
associate-/l*_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254` `255` `256` `257` `258` `259` `260` `261` `262` `263` `264` `265` `266` `267` `268` `269` `270` `271` `272` `273` `274` `275` `276` `277` `278` `279` `280` `281` `282` `283` `284` `285` `286` `287` `288` `289` `290` `291` `292` `293` `294` `295` `296` `297` `298` `299` `300` `301` `302` `303` `304` `305` `306` `307` `308` `309` `310` `311` `312` `313` `314` `315` `316` `317` `318` `319` `320` `321` `322` `323` `324` `325` `326` `327` `328` `329` `330` `331` `332` `333` `334` `335` `336` `337` `338` `339` `340` `341` `342` `343` `344` `345` `346` `347` `348` `349` `350` `351` `352` `353` `354` `355` `356` `357` `358` `359` `360` `361` `362` `363` `364` `365` `366` `367` `368` `369` `370` `371` `372` `373` `374` `375` `376` `377` `378` `379` `380` `381` `382` `383` `384` `385` `386` `387` `388` `389` `390` `391` `392` `393` `394` `395` `396` `397` `398` `399`
associate-/r*_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227`

Counts

236 → 199

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	425	15388
1	1353	14863
2	5320	14863

prune406.0ms (0.8%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	199	0	199
Fresh	0	17	17
Picked	0	1	1
Done	0	0	0
Total	199	18	217

Error

0.0b

Counts

217 → 18

Alt Table

Status	Error	Program
✓	2.7b	(.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0)) (/.f32 1 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))
	12.7b	(/.f32 -1 (/.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))) (log.f32 (-.f32 1 u0))))
	2.9b	(.f32 (/.f32 -1 (.f32 (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (/.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	3.0b	(.f32 (/.f32 (.f32 (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0))) (.f32 (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (/.f32 (neg.f32 (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))
▶	2.8b	(.f32 (sqrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (sqrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))
	12.5b	(.f32 (/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (/.f32 (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0)))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	3.0b	(/.f32 (.f32 (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0)) (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0))) (/.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))) (neg.f32 (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3))))) u0)))))
	12.5b	(.f32 (/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (.f32 (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (/.f32 (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))
	13.1b	(/.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u0 u0))) (log.f32 (+.f32 u0 1)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	12.4b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 (.f32 (cbrt.f32 sin2phi) (cbrt.f32 sin2phi)) (/.f32 alphay (/.f32 (cbrt.f32 sin2phi) alphay)))))
	12.4b	(.f32 (/.f32 -1 (.f32 (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (/.f32 (log.f32 (-.f32 1 u0)) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	12.2b	(.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (.f32 (.f32 alphay alphay) cos2phi) (.f32 sin2phi (.f32 alphax alphax)))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
	4.6b	(/.f32 (neg.f32 (.f32 u0 (-.f32 -1 (.f32 1/2 u0)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
	3.0b	(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) 3) (pow.f32 u0 3))) (.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))) (+.f32 (.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))) (.f32 u0 (+.f32 u0 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3))))))))))
	13.2b	(/.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (.f32 u0 u0)))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	2.9b	(.f32 (.f32 (cbrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (cbrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (cbrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	12.4b	(.f32 (.f32 (cbrt.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (cbrt.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (cbrt.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	12.8b	(exp.f32 (log.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))

Compiler

Compiled 7539 to 3910 computations (48.1% saved)

localize85.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))
0.6b	(/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))
1.7b	(sqrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))
1.7b	(sqrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))

rewrite1.3s (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

*-un-lft-identity_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254` `255` `256` `257` `258` `259` `260` `261` `262` `263` `264` `265` `266` `267` `268` `269` `270` `271` `272` `273` `274` `275` `276` `277` `278` `279` `280` `281` `282` `283` `284` `285` `286` `287` `288` `289` `290` `291` `292` `293` `294` `295` `296` `297` `298` `299` `300` `301` `302` `303` `304` `305`
times-frac_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225`
add-sqr-sqrt_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195`
sqrt-prod_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125`
add-cube-cbrt_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117`

Counts

4 → 336

Calls

4 calls:

22.0ms	(/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))
20.0ms	(sqrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))
19.0ms	(/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))
18.0ms	(sqrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))

Compiler

Compiled 21365 to 10551 computations (50.6% saved)

series9.0s (18%)

Error

0.0b

Counts

4 → 182

Calls

4 calls:

3.1s	(sqrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))
3.1s	(sqrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))
1.1s	(/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))
1.0s	(/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))

Compiler

Compiled 83545 to 63991 computations (23.4% saved)

simplify890.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

associate-/l*_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254` `255` `256` `257` `258` `259` `260` `261` `262` `263` `264` `265` `266` `267` `268` `269` `270` `271` `272` `273` `274` `275` `276` `277` `278` `279` `280` `281` `282` `283` `284` `285` `286` `287` `288` `289` `290` `291` `292` `293` `294` `295` `296` `297` `298` `299` `300` `301` `302` `303` `304` `305` `306` `307` `308` `309` `310` `311` `312` `313` `314` `315` `316` `317` `318` `319` `320` `321` `322` `323` `324` `325` `326` `327` `328` `329` `330` `331` `332` `333` `334` `335` `336` `337` `338` `339` `340` `341` `342` `343` `344` `345` `346` `347` `348` `349` `350` `351` `352` `353` `354` `355` `356` `357` `358` `359` `360` `361` `362` `363` `364` `365` `366` `367` `368` `369` `370` `371` `372` `373` `374` `375` `376` `377` `378` `379` `380` `381` `382` `383` `384` `385` `386` `387` `388` `389` `390` `391` `392` `393` `394` `395` `396` `397` `398` `399` `400` `401` `402` `403` `404` `405` `406` `407` `408` `409` `410` `411` `412` `413` `414` `415` `416` `417` `418` `419` `420` `421` `422` `423` `424` `425` `426` `427` `428` `429` `430` `431` `432` `433` `434` `435` `436` `437` `438` `439` `440` `441` `442` `443` `444` `445` `446` `447` `448` `449` `450` `451` `452` `453` `454` `455` `456` `457` `458` `459` `460` `461` `462` `463` `464` `465` `466` `467` `468` `469` `470` `471` `472` `473` `474` `475` `476` `477` `478` `479` `480` `481` `482` `483` `484` `485` `486` `487` `488` `489` `490` `491` `492` `493` `494` `495` `496` `497` `498` `499` `500` `501` `502` `503` `504` `505` `506` `507` `508` `509` `510` `511` `512` `513` `514` `515` `516` `517` `518` `519` `520` `521` `522` `523` `524` `525` `526` `527` `528` `529` `530` `531` `532` `533` `534` `535` `536` `537` `538` `539` `540` `541` `542` `543` `544` `545` `546` `547` `548` `549` `550` `551` `552` `553` `554` `555` `556` `557` `558` `559`
times-frac_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254` `255` `256` `257` `258` `259` `260` `261` `262` `263` `264` `265` `266` `267` `268` `269` `270` `271` `272` `273` `274` `275` `276` `277` `278` `279` `280` `281` `282` `283` `284` `285` `286` `287` `288` `289` `290` `291` `292` `293` `294` `295` `296` `297` `298` `299` `300` `301` `302` `303` `304` `305` `306` `307` `308` `309` `310` `311` `312` `313` `314` `315` `316` `317` `318` `319` `320` `321` `322` `323` `324` `325` `326` `327` `328` `329` `330` `331` `332` `333` `334` `335` `336` `337` `338` `339` `340` `341` `342` `343` `344` `345` `346` `347` `348` `349` `350` `351` `352` `353` `354` `355` `356` `357` `358` `359` `360` `361` `362` `363` `364` `365` `366` `367` `368` `369` `370` `371` `372` `373` `374` `375` `376` `377` `378` `379` `380` `381` `382` `383` `384` `385` `386` `387` `388` `389` `390` `391` `392` `393` `394` `395` `396` `397` `398` `399` `400` `401` `402` `403` `404` `405` `406` `407` `408` `409` `410` `411` `412` `413` `414` `415` `416` `417` `418` `419` `420` `421` `422` `423` `424` `425` `426` `427` `428` `429` `430` `431` `432` `433` `434` `435` `436` `437` `438` `439` `440` `441` `442` `443` `444` `445` `446` `447` `448` `449` `450` `451` `452` `453` `454` `455` `456` `457` `458` `459` `460` `461` `462` `463` `464` `465` `466` `467` `468` `469` `470` `471` `472` `473` `474` `475` `476` `477` `478` `479` `480` `481` `482` `483` `484` `485` `486` `487` `488` `489` `490` `491` `492` `493` `494` `495` `496` `497` `498` `499` `500` `501` `502` `503` `504` `505` `506` `507` `508` `509` `510` `511` `512`
*-commutative_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164` `165` `166` `167` `168` `169` `170` `171` `172` `173` `174` `175` `176` `177` `178` `179` `180` `181` `182` `183` `184` `185` `186` `187` `188` `189` `190` `191` `192` `193` `194` `195` `196` `197` `198` `199` `200` `201` `202` `203` `204` `205` `206` `207` `208` `209` `210` `211` `212` `213` `214` `215` `216` `217` `218` `219` `220` `221` `222` `223` `224` `225` `226` `227` `228` `229` `230` `231` `232` `233` `234` `235` `236` `237` `238` `239` `240` `241` `242` `243` `244` `245` `246` `247` `248` `249` `250` `251` `252` `253` `254`
+-commutative_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125` `126` `127` `128` `129` `130` `131` `132` `133` `134` `135` `136` `137` `138` `139` `140` `141` `142` `143` `144` `145` `146` `147` `148` `149` `150` `151` `152` `153` `154` `155` `156` `157` `158` `159` `160` `161` `162` `163` `164`
associate-+r+_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31` `32` `33` `34` `35` `36` `37` `38` `39` `40` `41` `42` `43` `44` `45` `46` `47` `48` `49` `50` `51` `52` `53` `54` `55` `56` `57` `58` `59` `60` `61` `62` `63` `64` `65` `66` `67` `68` `69` `70` `71` `72` `73` `74` `75` `76` `77` `78` `79` `80` `81` `82` `83` `84` `85` `86` `87` `88` `89` `90` `91` `92` `93` `94` `95` `96` `97` `98` `99` `100` `101` `102` `103` `104` `105` `106` `107` `108` `109` `110` `111` `112` `113` `114` `115` `116` `117` `118` `119` `120` `121` `122` `123` `124` `125`

Counts

518 → 354

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	811	68202
1	2314	62848
2	5186	62848

prune1.1s (2.2%)

Pruning

18 alts after pruning (16 fresh and 2 done)

	Pruned	Kept	Total
New	354	0	354
Fresh	0	16	16
Picked	0	1	1
Done	0	1	1
Total	354	18	372

Error

0.0b

Counts

372 → 18

Alt Table

Status	Error	Program
	2.7b	(.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0)) (/.f32 1 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))
	12.7b	(/.f32 -1 (/.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))) (log.f32 (-.f32 1 u0))))
	2.9b	(.f32 (/.f32 -1 (.f32 (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (/.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	3.0b	(.f32 (/.f32 (.f32 (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0))) (.f32 (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (/.f32 (neg.f32 (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))
	2.8b	(.f32 (sqrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (sqrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))
	12.5b	(.f32 (/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (/.f32 (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0)))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	3.0b	(/.f32 (.f32 (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0)) (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) u0))) (/.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))) (neg.f32 (cbrt.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3))))) u0)))))
	12.5b	(.f32 (/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (.f32 (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (/.f32 (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))
	13.1b	(/.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (.f32 u0 u0))) (log.f32 (+.f32 u0 1)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	12.4b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 (.f32 (cbrt.f32 sin2phi) (cbrt.f32 sin2phi)) (/.f32 alphay (/.f32 (cbrt.f32 sin2phi) alphay)))))
	12.4b	(.f32 (/.f32 -1 (.f32 (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (/.f32 (log.f32 (-.f32 1 u0)) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	12.2b	(.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (.f32 (.f32 alphay alphay) cos2phi) (.f32 sin2phi (.f32 alphax alphax)))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
	4.6b	(/.f32 (neg.f32 (.f32 u0 (-.f32 -1 (.f32 1/2 u0)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
	3.0b	(/.f32 (neg.f32 (-.f32 (pow.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0)))) 3) (pow.f32 u0 3))) (.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))) (+.f32 (.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))))) (.f32 u0 (+.f32 u0 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (*.f32 u0 1/3))))))))))
	13.2b	(/.f32 (neg.f32 (-.f32 (log.f32 (-.f32 1 (pow.f32 u0 3))) (log.f32 (+.f32 1 (+.f32 u0 (.f32 u0 u0)))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	2.9b	(.f32 (.f32 (cbrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (cbrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (cbrt.f32 (/.f32 (neg.f32 (-.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3))))) u0)) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	12.4b	(.f32 (.f32 (cbrt.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (cbrt.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (cbrt.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	12.8b	(exp.f32 (log.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))

Compiler

Compiled 20871 to 11592 computations (44.5% saved)

regimes27.0s (54.3%)

Accuracy

Total 0.5b remaining (81.2%)

Threshold costs 0.5b (81.2%)

Compiler

Compiled 386865 to 238257 computations (38.4% saved)

bsearch28.0ms (0.1%)

Compiler: Compiled 8 to 7 computations (12.5% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

distribute-rgt-neg-in_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25` `26` `27` `28` `29` `30` `31`
*-commutative_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23` `24` `25`
+-commutative_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23`
cancel-sign-sub-inv_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23`
neg-sub0_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19` `20` `21` `22` `23`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	40	92
1	69	92
2	98	92
3	133	90
4	193	90
5	238	90
6	260	90
7	269	90
8	271	90
9	262	90

end3.0ms (0%)

Compiler: Compiled 65 to 39 computations (40% saved)

sample3.2s (6.3%)

Algorithm

1×

intervals

Results

626.0ms	8000×	body	128	valid
335.0ms	8000×	pre	128	true

Compiler

Compiled 1061 to 634 computations (40.2% saved)

Iter	Nodes	Cost
0	16	26
1	30	26
2	41	26
3	53	26
4	62	26
5	73	26
6	93	26
7	121	26
8	143	26
9	160	26
10	199	26
11	215	26
12	303	26
13	290	26
14	316	26
15	311	26
16	312	26
17	271	26

Iter	Nodes	Cost
0	16	26
1	30	26
2	41	26
3	53	26
4	62	26
5	73	26
6	93	26
7	121	26
8	143	26
9	160	26
10	199	26
11	215	26
12	303	26
13	290	26
14	316	26
15	311	26
16	312	26
17	271	26

Details

analyze1.4s (2.8%)

sample60.0ms (0.1%)

simplify23.0ms (0%)

prune7.0ms (0%)

localize40.0ms (0.1%)

rewrite240.0ms (0.5%)

series360.0ms (0.7%)

simplify193.0ms (0.4%)

prune188.0ms (0.4%)

localize66.0ms (0.1%)

rewrite411.0ms (0.8%)

series1.1s (2.2%)

simplify250.0ms (0.5%)

prune442.0ms (0.9%)

localize72.0ms (0.1%)

rewrite419.0ms (0.8%)

series1.3s (2.7%)

simplify228.0ms (0.5%)

prune406.0ms (0.8%)

localize85.0ms (0.2%)

rewrite1.3s (2.6%)

series9.0s (18%)

simplify890.0ms (1.8%)

prune1.1s (2.2%)

regimes27.0s (54.3%)

bsearch28.0ms (0.1%)

simplify9.0ms (0%)

end3.0ms (0%)

sample3.2s (6.3%)

Profiling

Iter	Nodes	Cost
0	16	26
1	30	26
2	41	26
3	53	26
4	62	26
5	73	26
6	93	26
7	121	26
8	143	26
9	160	26
10	199	26
11	215	26
12	303	26
13	290	26
14	316	26
15	311	26
16	312	26
17	271	26