Details

analyze1.4s (4.9%)

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 (0.2%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
11.0ms	256×	pre	128	true

Compiler

Compiled 69 to 50 computations (27.5% saved)

simplify24.0ms (0.1%)

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

prune4.0ms (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

13.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	13.0b	(/.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)

localize45.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f32 cos2phi (*.f32 alphax alphax))
0.3b	(/.f32 sin2phi (*.f32 alphay alphay))
0.4b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
14.2b	(log.f32 (-.f32 1 u0))

rewrite231.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

8.7b

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:

16.0ms	(/.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)

series436.0ms (1.5%)

Error

0.4b

Counts

4 → 72

Calls

4 calls:

302.0ms	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
31.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
30.0ms	(/.f32 cos2phi (*.f32 alphax alphax))
18.0ms	(log.f32 (-.f32 1 u0))

Compiler

Compiled 3946 to 2917 computations (26.1% saved)

simplify223.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

neg-mul-1_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`
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`
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`
distribute-frac-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` `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`
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`

Counts

212 → 177

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	317	7424
1	750	7280
2	2573	7274
3	4508	7274
4	5080	7274

prune204.0ms (0.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	162	15	177
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	163	15	178

Error

0.3b

Counts

178 → 15

Alt Table

Status	Error	Program
	13.0b	(.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))))))
▶	2.0b	(+.f32 (/.f32 u0 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (+.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 u0 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))))
	13.0b	(/.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)))))
	13.1b	(/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (/.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))) (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))))))
	23.9b	(.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 (pow.f32 cos2phi 3) (pow.f32 alphax 6)) (/.f32 (pow.f32 sin2phi 3) (pow.f32 alphay 6)))) (+.f32 (.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 cos2phi (.f32 alphax alphax))) (-.f32 (.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 sin2phi (.f32 alphay alphay))) (.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	13.7b	(/.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))))
	2.1b	(/.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))))
	2.7b	(/.f32 (neg.f32 (-.f32 (neg.f32 u0) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	13.0b	(.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)))
	13.7b	(/.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))))
	13.3b	(exp.f32 (log.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	13.0b	(.f32 (/.f32 (sqrt.f32 (neg.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u0)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	19.0b	(.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (-.f32 (/.f32 (.f32 cos2phi cos2phi) (pow.f32 alphax 4)) (/.f32 (.f32 sin2phi sin2phi) (pow.f32 alphay 4)))) (-.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	14.1b	(/.f32 (neg.f32 (+.f32 (.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	4.1b	(/.f32 (neg.f32 (.f32 u0 (-.f32 -1 (.f32 1/2 u0)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

Compiler

Compiled 3736 to 1677 computations (55.1% saved)

localize90.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))
0.3b	(/.f32 u0 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))
0.3b	(/.f32 (.f32 u0 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))
0.3b	(.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))

rewrite676.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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`
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`
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`
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`
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`

Counts

4 → 220

Calls

4 calls:

29.0ms	(.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))
14.0ms	(/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))
13.0ms	(/.f32 (.f32 u0 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))
11.0ms	(/.f32 u0 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))

Compiler

Compiled 13340 to 3075 computations (76.9% saved)

series939.0ms (3.2%)

Error

0.2b

Counts

4 → 102

Calls

4 calls:

332.0ms	(/.f32 u0 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))
238.0ms	(/.f32 (.f32 u0 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))
162.0ms	(.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))
154.0ms	(/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))

Compiler

Compiled 13979 to 7135 computations (49% saved)

simplify326.0ms (1.1%)

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`
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`
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`
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`
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` `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`

Counts

322 → 242

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	293	9891
1	673	9444
2	3276	9443
3	4656	9323
4	4919	9323
5	4976	9323

prune306.0ms (1.1%)

Pruning

18 alts after pruning (17 fresh and 1 done)

	Pruned	Kept	Total
New	238	4	242
Fresh	1	13	14
Picked	0	1	1
Done	0	0	0
Total	239	18	257

Error

0.2b

Counts

257 → 18

Alt Table

Status	Error	Program
	2.4b	(+.f32 (.f32 (.f32 (cbrt.f32 u0) (cbrt.f32 u0)) (/.f32 (cbrt.f32 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (+.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 u0 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))))
	17.9b	(+.f32 (.f32 (/.f32 u0 (+.f32 (/.f32 (pow.f32 sin2phi 3) (pow.f32 alphay 6)) (/.f32 (pow.f32 cos2phi 3) (pow.f32 alphax 6)))) (+.f32 (.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 sin2phi (.f32 alphay alphay))) (-.f32 (.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 cos2phi (.f32 alphax alphax))) (.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (+.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 u0 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))))
	13.0b	(.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))))))
✓	2.0b	(+.f32 (/.f32 u0 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (+.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 u0 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))))
	13.0b	(/.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)))))
	13.1b	(/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (/.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))) (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))))))
	15.6b	(+.f32 (/.f32 u0 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))) (+.f32 (+.f32 (.f32 1/2 (.f32 (/.f32 (.f32 u0 u0) (+.f32 (/.f32 (pow.f32 sin2phi 3) (pow.f32 alphay 6)) (/.f32 (pow.f32 cos2phi 3) (pow.f32 alphax 6)))) (+.f32 (.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 sin2phi (.f32 alphay alphay))) (-.f32 (.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 cos2phi (.f32 alphax alphax))) (.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))))
	2.2b	(+.f32 (.f32 (sqrt.f32 u0) (/.f32 (sqrt.f32 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (+.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 u0 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))))
	23.9b	(.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 (pow.f32 cos2phi 3) (pow.f32 alphax 6)) (/.f32 (pow.f32 sin2phi 3) (pow.f32 alphay 6)))) (+.f32 (.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 cos2phi (.f32 alphax alphax))) (-.f32 (.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 sin2phi (.f32 alphay alphay))) (.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	13.7b	(/.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))))
▶	2.1b	(/.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))))
	13.0b	(.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)))
	13.7b	(/.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))))
	13.3b	(exp.f32 (log.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	13.0b	(.f32 (/.f32 (sqrt.f32 (neg.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u0)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	19.0b	(.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (-.f32 (/.f32 (.f32 cos2phi cos2phi) (pow.f32 alphax 4)) (/.f32 (.f32 sin2phi sin2phi) (pow.f32 alphay 4)))) (-.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	14.1b	(/.f32 (neg.f32 (+.f32 (.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	4.1b	(/.f32 (neg.f32 (.f32 u0 (-.f32 -1 (.f32 1/2 u0)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

Compiler

Compiled 7285 to 2255 computations (69% saved)

localize70.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(/.f32 sin2phi (*.f32 alphay alphay))
0.3b	(*.f32 1/3 u0)
0.4b	(/.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))))
0.4b	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 1/3 u0)))

rewrite412.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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)

series1.2s (4%)

Error

0.1b

Counts

4 → 63

Calls

4 calls:

953.0ms	(/.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))))
39.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
28.0ms	(.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)

simplify252.0ms (0.9%)

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`
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`
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	462	16580
1	1351	16302
2	5202	16302

prune448.0ms (1.5%)

Pruning

21 alts after pruning (21 fresh and 0 done)

	Pruned	Kept	Total
New	187	7	194
Fresh	2	14	16
Picked	1	0	1
Done	1	0	1
Total	191	21	212

Error

0.1b

Counts

212 → 21

Alt Table

Status	Error	Program
	2.5b	(/.f32 -1 (/.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))) (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))) u0))))
	2.4b	(+.f32 (.f32 (.f32 (cbrt.f32 u0) (cbrt.f32 u0)) (/.f32 (cbrt.f32 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (+.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 u0 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))))
	2.2b	(/.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 (sqrt.f32 sin2phi) (/.f32 alphay (/.f32 (sqrt.f32 sin2phi) alphay)))))
▶	2.0b	(.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)))))
	2.1b	(.f32 (/.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))) u0))) (+.f32 (.f32 (.f32 alphay alphay) cos2phi) (.f32 sin2phi (.f32 alphax alphax)))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
	13.0b	(.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))))))
	13.0b	(/.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)))))
	13.1b	(/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (/.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))) (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))))))
	2.3b	(.f32 (/.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))) u0)))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (/.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))) u0)))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))
	2.2b	(/.f32 (/.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))) u0))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))
	2.5b	(.f32 (/.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 (.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 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 (.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))))))
	2.2b	(+.f32 (.f32 (sqrt.f32 u0) (/.f32 (sqrt.f32 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (+.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 u0 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))))
	23.9b	(.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 (pow.f32 cos2phi 3) (pow.f32 alphax 6)) (/.f32 (pow.f32 sin2phi 3) (pow.f32 alphay 6)))) (+.f32 (.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 cos2phi (.f32 alphax alphax))) (-.f32 (.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 sin2phi (.f32 alphay alphay))) (.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	13.7b	(/.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))))
	13.0b	(.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)))
	13.7b	(/.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))))
	13.3b	(exp.f32 (log.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	13.0b	(.f32 (/.f32 (sqrt.f32 (neg.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u0)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	19.0b	(.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (-.f32 (/.f32 (.f32 cos2phi cos2phi) (pow.f32 alphax 4)) (/.f32 (.f32 sin2phi sin2phi) (pow.f32 alphay 4)))) (-.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	14.1b	(/.f32 (neg.f32 (+.f32 (.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	4.1b	(/.f32 (neg.f32 (.f32 u0 (-.f32 -1 (.f32 1/2 u0)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

Compiler

Compiled 8535 to 4384 computations (48.6% saved)

localize74.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f32 sin2phi (*.f32 alphay alphay))
0.3b	(*.f32 1/3 u0)
0.4b	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 1/3 u0)))
0.6b	(/.f32 1 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))

rewrite319.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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`
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`
add-exp-log_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17` `18` `19`
add-cube-cbrt_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17`
add-cbrt-cube_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17`

Counts

4 → 100

Calls

4 calls:

11.0ms	(/.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)))
4.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
4.0ms	(*.f32 1/3 u0)

Compiler

Compiled 3644 to 1756 computations (51.8% saved)

series354.0ms (1.2%)

Error

0.1b

Counts

4 → 57

Calls

4 calls:

230.0ms	(/.f32 1 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))
42.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
29.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 1/3 u0)))
16.0ms	(*.f32 1/3 u0)

Compiler

Compiled 3932 to 2876 computations (26.9% saved)

simplify96.0ms (0.3%)

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` `560` `561` `562` `563` `564` `565` `566` `567` `568` `569` `570` `571` `572` `573` `574` `575` `576` `577` `578` `579` `580` `581` `582` `583` `584` `585` `586` `587` `588` `589` `590` `591` `592` `593` `594` `595` `596` `597` `598` `599` `600` `601` `602` `603` `604` `605` `606` `607` `608` `609` `610` `611` `612` `613` `614` `615` `616` `617` `618` `619` `620` `621` `622` `623` `624` `625` `626` `627` `628` `629` `630` `631` `632` `633` `634` `635` `636` `637` `638` `639` `640` `641` `642` `643` `644` `645` `646` `647` `648` `649` `650` `651` `652` `653` `654` `655` `656` `657` `658` `659` `660` `661` `662` `663` `664` `665` `666` `667` `668` `669` `670` `671` `672` `673` `674` `675` `676` `677` `678` `679` `680` `681` `682` `683` `684` `685` `686` `687` `688` `689` `690` `691` `692` `693` `694` `695` `696` `697` `698` `699` `700` `701` `702` `703` `704` `705` `706` `707` `708` `709` `710` `711` `712` `713` `714` `715` `716` `717` `718` `719` `720` `721` `722` `723` `724` `725` `726` `727` `728` `729` `730` `731` `732` `733` `734` `735` `736` `737` `738` `739` `740` `741` `742` `743` `744` `745` `746` `747` `748` `749` `750` `751` `752` `753` `754` `755` `756` `757` `758` `759` `760` `761` `762` `763` `764` `765` `766` `767` `768` `769` `770` `771` `772` `773` `774` `775` `776` `777` `778` `779` `780` `781` `782` `783` `784` `785` `786` `787` `788` `789` `790` `791` `792` `793` `794` `795` `796` `797` `798` `799` `800` `801` `802` `803` `804` `805` `806` `807` `808` `809` `810` `811` `812` `813` `814` `815` `816` `817` `818` `819` `820` `821` `822` `823` `824` `825` `826` `827` `828` `829` `830` `831` `832` `833` `834` `835` `836` `837` `838` `839` `840` `841` `842` `843` `844` `845` `846` `847` `848` `849` `850` `851` `852` `853` `854` `855` `856` `857` `858` `859` `860` `861` `862` `863` `864` `865` `866` `867` `868` `869` `870` `871` `872` `873` `874` `875` `876` `877` `878` `879` `880` `881` `882` `883` `884` `885` `886` `887` `888` `889` `890` `891` `892` `893` `894`
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` `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`
distribute-lft-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` `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`
unswap-sqr_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`
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`

Counts

157 → 120

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	3366
1	520	3210
2	1733	3203
3	5235	3203

prune208.0ms (0.7%)

Pruning

21 alts after pruning (20 fresh and 1 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	1	19	20
Picked	0	1	1
Done	0	0	0
Total	120	21	141

Error

0.1b

Counts

141 → 21

Alt Table

Status	Error	Program
	2.5b	(/.f32 -1 (/.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))) (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))) u0))))
	2.4b	(+.f32 (.f32 (.f32 (cbrt.f32 u0) (cbrt.f32 u0)) (/.f32 (cbrt.f32 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (+.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 u0 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))))
	2.2b	(/.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 (sqrt.f32 sin2phi) (/.f32 alphay (/.f32 (sqrt.f32 sin2phi) alphay)))))
	2.0b	(.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)))))
	2.1b	(.f32 (/.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))) u0))) (+.f32 (.f32 (.f32 alphay alphay) cos2phi) (.f32 sin2phi (.f32 alphax alphax)))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
	13.0b	(.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))))))
	13.0b	(/.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)))))
	13.1b	(/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (/.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))) (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))))))
	2.3b	(.f32 (/.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))) u0)))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (/.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))) u0)))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax))))))
	2.2b	(/.f32 (/.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 (.f32 u0 (.f32 u0 (+.f32 1/2 (.f32 u0 1/3)))) u0))) (sqrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))
	2.5b	(.f32 (/.f32 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 (.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 (sqrt.f32 (neg.f32 (-.f32 (.f32 (pow.f32 u0 4) -1/4) (+.f32 (.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))))))
	2.2b	(.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 1 (+.f32 (.f32 (.f32 alphax alphax) sin2phi) (.f32 cos2phi (.f32 alphay alphay)))) (.f32 (.f32 alphay alphay) (*.f32 alphax alphax))))
	2.2b	(+.f32 (.f32 (sqrt.f32 u0) (/.f32 (sqrt.f32 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (+.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 u0 u0) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax)))))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (*.f32 alphax alphax)))))))
	23.9b	(.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 (pow.f32 cos2phi 3) (pow.f32 alphax 6)) (/.f32 (pow.f32 sin2phi 3) (pow.f32 alphay 6)))) (+.f32 (.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 cos2phi (.f32 alphax alphax))) (-.f32 (.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 sin2phi (.f32 alphay alphay))) (.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	13.7b	(/.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))))
	13.0b	(.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)))
	13.7b	(/.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))))
	13.3b	(exp.f32 (log.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	13.0b	(.f32 (/.f32 (sqrt.f32 (neg.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 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u0)))) (cbrt.f32 (+.f32 (/.f32 sin2phi (.f32 alphay alphay)) (/.f32 cos2phi (.f32 alphax alphax))))))
	19.0b	(.f32 (/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (-.f32 (/.f32 (.f32 cos2phi cos2phi) (pow.f32 alphax 4)) (/.f32 (.f32 sin2phi sin2phi) (pow.f32 alphay 4)))) (-.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	14.1b	(/.f32 (neg.f32 (+.f32 (.f32 2 (log.f32 (cbrt.f32 (-.f32 1 u0)))) (log.f32 (cbrt.f32 (-.f32 1 u0))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))

Compiler

Compiled 2869 to 1549 computations (46% saved)

regimes17.5s (60.2%)

Accuracy

Total 0.5b remaining (85.1%)

Threshold costs 0.5b (85.1%)

Compiler

Compiled 255679 to 148608 computations (41.9% saved)

bsearch19.0ms (0.1%)

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

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

*-commutative_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14` `15` `16` `17`
+-commutative_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9` `10` `11` `12` `13` `14`
sub-neg_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9`
neg-sub0_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9`
neg-mul-1_binary32×	`0` `1` `2` `3` `4` `5` `6` `7` `8` `9`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	44	150
1	66	150
2	77	150
3	86	150
4	98	150
5	111	150
6	120	150
7	126	150
8	128	150
9	127	150

end4.0ms (0%)

Compiler: Compiled 105 to 45 computations (57.1% saved)

sample3.1s (10.7%)

Algorithm

1×

intervals

Results

623.0ms	8000×	body	128	valid
343.0ms	8000×	pre	128	true

Compiler

Compiled 1126 to 638 computations (43.3% 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	44	150
1	66	150
2	77	150
3	86	150
4	98	150
5	111	150
6	120	150
7	126	150
8	128	150
9	127	150

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	44	150
1	66	150
2	77	150
3	86	150
4	98	150
5	111	150
6	120	150
7	126	150
8	128	150
9	127	150

Details

analyze1.4s (4.9%)

sample60.0ms (0.2%)

simplify24.0ms (0.1%)

prune4.0ms (0%)

localize45.0ms (0.2%)

rewrite231.0ms (0.8%)

series436.0ms (1.5%)

simplify223.0ms (0.8%)

prune204.0ms (0.7%)

localize90.0ms (0.3%)

rewrite676.0ms (2.3%)

series939.0ms (3.2%)

simplify326.0ms (1.1%)

prune306.0ms (1.1%)

localize70.0ms (0.2%)

rewrite412.0ms (1.4%)

series1.2s (4%)

simplify252.0ms (0.9%)

prune448.0ms (1.5%)

localize74.0ms (0.3%)

rewrite319.0ms (1.1%)

series354.0ms (1.2%)

simplify96.0ms (0.3%)

prune208.0ms (0.7%)

regimes17.5s (60.2%)

bsearch19.0ms (0.1%)

simplify9.0ms (0%)

end4.0ms (0%)

sample3.1s (10.7%)

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

Iter	Nodes	Cost
0	44	150
1	66	150
2	77	150
3	86	150
4	98	150
5	111	150
6	120	150
7	126	150
8	128	150
9	127	150