Details

analyze1.9s (7%)

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)

sample76.0ms (0.3%)

Algorithm

1×

intervals

Results

29.0ms	256×	body	128	valid
11.0ms	256×	pre	128	true

Compiler

Compiled 69 to 50 computations (27.5% saved)

simplify27.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

65×	`cancel-sign-sub-inv_binary32`
42×	`sub-neg_binary32`
41×	`div-sub_binary32`
32×	`distribute-rgt-neg-in_binary32`
29×	`distribute-rgt-in_binary32`

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

12.7b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	12.7b	(/.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)

localize53.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.2b	(/.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))))
14.3b	(log.f32 (-.f32 1 u0))

rewrite234.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

8.8b

Rules

66×	`*-un-lft-identity_binary32`
54×	`times-frac_binary32`
40×	`add-sqr-sqrt_binary32`
37×	`add-cube-cbrt_binary32`
20×	`distribute-lft-neg-in_binary32`

Counts

4 → 140

Calls

4 calls:

13.0ms	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
5.0ms	(/.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)

series401.0ms (1.5%)

Error

0.4b

Counts

4 → 66

Calls

4 calls:

281.0ms	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
29.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
27.0ms	(/.f32 cos2phi (*.f32 alphax alphax))
19.0ms	(log.f32 (-.f32 1 u0))

Compiler

Compiled 3875 to 2864 computations (26.1% saved)

simplify224.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

466×	`neg-mul-1_binary32`
368×	`div-sub_binary32`
237×	`distribute-rgt-in_binary32`
211×	`distribute-frac-neg_binary32`
203×	`associate-/l*_binary32`

Counts

206 → 131

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	326	7098
1	752	6954
2	2581	6896
3	4491	6896
4	5146	6896

prune127.0ms (0.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	119	12	131
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	12	132

Error

0.5b

Counts

132 → 12

Alt Table

Status	Error	Program
	12.7b	(.f32 (.f32 (/.f32 (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0)))) (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (/.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	12.7b	(.f32 (/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))))) (.f32 (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))) (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))) (/.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))))
	7.9b	(/.f32 u0 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
	13.9b	(/.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))))
	4.4b	(/.f32 (+.f32 u0 (.f32 1/2 (.f32 u0 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
	12.6b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 1 (/.f32 alphay (/.f32 sin2phi alphay)))))
	13.4b	(/.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))))
	2.6b	(+.f32 (+.f32 (/.f32 (+.f32 u0 (.f32 1/2 (.f32 u0 u0))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
▶	2.6b	(/.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
	18.3b	(.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))))
	12.7b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (sqrt.f32 sin2phi) (/.f32 alphay (/.f32 (sqrt.f32 sin2phi) alphay)))))
	12.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u0)))) (/.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u0)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))))

Compiler

Compiled 2214 to 1098 computations (50.4% saved)

localize86.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f32 sin2phi (*.f32 alphay alphay))
0.4b	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 1/3 u0)))
0.4b	(*.f32 1/3 u0)
0.4b	(/.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))

rewrite255.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

39×	`*-un-lft-identity_binary32`
22×	`add-sqr-sqrt_binary32`
19×	`times-frac_binary32`
19×	`add-cube-cbrt_binary32`
18×	`add-cbrt-cube_binary32`

Counts

4 → 103

Calls

4 calls:

18.0ms	(/.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
9.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 1/3 u0)))
3.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
3.0ms	(*.f32 1/3 u0)

Compiler

Compiled 3744 to 1729 computations (53.8% saved)

series1.1s (3.9%)

Error

0.2b

Counts

4 → 69

Calls

4 calls:

828.0ms	(/.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))
33.0ms	(/.f32 sin2phi (*.f32 alphay alphay))
23.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 1/3 u0)))
16.0ms	(*.f32 1/3 u0)

Compiler

Compiled 12486 to 9275 computations (25.7% saved)

simplify318.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

488×	`times-frac_binary32`
412×	`associate-l_binary32`
408×	`associate-/l*_binary32`
253×	`associate-/r*_binary32`
160×	`distribute-rgt-in_binary32`

Counts

172 → 146

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	424	15640
1	1293	15343
2	4928	15270
3	4965	15270

prune301.0ms (1.1%)

Pruning

19 alts after pruning (19 fresh and 0 done)

	Pruned	Kept	Total
New	135	11	146
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	139	19	158

Error

0.1b

Counts

158 → 19

Alt Table

Status	Error	Program
	11.0b	(.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (-.f32 (.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 cos2phi (.f32 alphax alphax))) (/.f32 (.f32 sin2phi sin2phi) (pow.f32 alphay 4)))) (-.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	23.2b	(log.f32 (exp.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	13.9b	(/.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))))
▶	2.6b	(.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
	4.2b	(exp.f32 (log.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	2.7b	(/.f32 (-.f32 (.f32 u0 u0) (.f32 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4))) (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4))))) (.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))) (+.f32 (-.f32 u0 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))) (*.f32 -1/4 (pow.f32 u0 4)))))
	4.4b	(/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 1/2 (.f32 u0 u0)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	12.7b	(.f32 (.f32 (/.f32 (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0)))) (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (/.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	12.7b	(.f32 (/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))))) (.f32 (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))) (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))) (/.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))))
	18.3b	(.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))))
	2.9b	(.f32 (.f32 (cbrt.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))))) (cbrt.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))))) (/.f32 (cbrt.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))
	3.0b	(/.f32 (sqrt.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4))))) (/.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))) (sqrt.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))))))
	2.9b	(.f32 (.f32 (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))) (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	12.6b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 1 (/.f32 alphay (/.f32 sin2phi alphay)))))
	13.4b	(/.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))))
	2.8b	(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))))
	2.6b	(+.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 u0 u0) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (+.f32 (/.f32 u0 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	12.7b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (sqrt.f32 sin2phi) (/.f32 alphay (/.f32 (sqrt.f32 sin2phi) alphay)))))
	12.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u0)))) (/.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u0)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))))

Compiler

Compiled 6856 to 3540 computations (48.4% saved)

localize98.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
0.4b	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))
0.4b	(.f32 (.f32 alphax alphax) (*.f32 alphay alphay))
0.4b	(*.f32 u0 1/3)

rewrite304.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

64×	`add-cbrt-cube_binary32`
64×	`add-exp-log_binary32`
57×	`pow1_binary32`
38×	`cbrt-unprod_binary32`
38×	`prod-exp_binary32`

Counts

4 → 123

Calls

4 calls:

21.0ms	(.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
7.0ms	(.f32 (.f32 alphax alphax) (*.f32 alphay alphay))
6.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))
3.0ms	(*.f32 u0 1/3)

Compiler

Compiled 5716 to 2184 computations (61.8% saved)

series1.1s (4.1%)

Error

0.1b

Counts

4 → 71

Calls

4 calls:

889.0ms	(.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
32.0ms	(.f32 (.f32 alphax alphax) (*.f32 alphay alphay))
21.0ms	(.f32 (.f32 u0 u0) (+.f32 1/2 (*.f32 u0 1/3)))
11.0ms	(*.f32 u0 1/3)

Compiler

Compiled 13173 to 9693 computations (26.4% saved)

simplify282.0ms (1%)

Algorithm

1×	egg-herbie

Rules

749×	`associate-l_binary32`
465×	`times-frac_binary32`
426×	`associate-/l*_binary32`
241×	`associate-/r*_binary32`
165×	`associate-*l/_binary32`

Counts

194 → 165

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	450	17628
1	1370	16350
2	5342	16350

prune344.0ms (1.3%)

Pruning

20 alts after pruning (19 fresh and 1 done)

	Pruned	Kept	Total
New	162	3	165
Fresh	2	16	18
Picked	0	1	1
Done	0	0	0
Total	164	20	184

Error

0.1b

Counts

184 → 20

Alt Table

Status	Error	Program
	11.0b	(.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (-.f32 (.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 cos2phi (.f32 alphax alphax))) (/.f32 (.f32 sin2phi sin2phi) (pow.f32 alphay 4)))) (-.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	23.2b	(log.f32 (exp.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	13.9b	(/.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))))
✓	2.6b	(.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
	4.2b	(exp.f32 (log.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	12.7b	(.f32 (.f32 (/.f32 (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0)))) (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (/.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	12.7b	(.f32 (/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))))) (.f32 (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))) (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))) (/.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))))
	21.9b	(.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))) (log.f32 (exp.f32 (.f32 (.f32 alphay alphay) (.f32 alphax alphax)))))
	2.6b	(+.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 u0 u0) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (+.f32 (/.f32 u0 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	18.3b	(.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))))
	2.9b	(.f32 (.f32 (cbrt.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))))) (cbrt.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))))) (/.f32 (cbrt.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))
	2.8b	(.f32 (.f32 (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi)))) (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))))) (.f32 (.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))))))
	12.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u0)))) (/.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u0)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))))
	3.0b	(/.f32 (sqrt.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4))))) (/.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))) (sqrt.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))))))
	2.9b	(.f32 (.f32 (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))) (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	12.6b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 1 (/.f32 alphay (/.f32 sin2phi alphay)))))
	13.4b	(/.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))))
	2.8b	(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))))
	12.7b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (sqrt.f32 sin2phi) (/.f32 alphay (/.f32 (sqrt.f32 sin2phi) alphay)))))
▶	2.6b	(+.f32 (/.f32 (.f32 u0 (.f32 (.f32 alphay alphay) (.f32 alphax alphax))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))) (+.f32 (.f32 1/2 (/.f32 (.f32 u0 (.f32 u0 (.f32 (.f32 alphay alphay) (.f32 alphax alphax)))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi)))) (+.f32 (.f32 1/3 (/.f32 (.f32 (.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (pow.f32 u0 3)) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi)))) (.f32 1/4 (/.f32 (.f32 (pow.f32 u0 4) (.f32 (.f32 alphay alphay) (.f32 alphax alphax))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi)))))))

Compiler

Compiled 7545 to 3633 computations (51.8% saved)

localize141.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.4b	(.f32 (.f32 alphay alphay) (*.f32 alphax alphax))
0.4b	(.f32 (.f32 alphay alphay) (*.f32 alphax alphax))
0.4b	(/.f32 (.f32 (.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (pow.f32 u0 3)) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi)))
2.6b	(/.f32 (.f32 (pow.f32 u0 4) (.f32 (.f32 alphay alphay) (.f32 alphax alphax))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi)))

rewrite442.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

160×	`add-exp-log_binary32`
94×	`prod-exp_binary32`
78×	`add-cbrt-cube_binary32`
60×	`pow1_binary32`
42×	`cbrt-unprod_binary32`

Counts

4 → 140

Calls

4 calls:

19.0ms	(/.f32 (.f32 (.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (pow.f32 u0 3)) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi)))
18.0ms	(/.f32 (.f32 (pow.f32 u0 4) (.f32 (.f32 alphay alphay) (.f32 alphax alphax))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi)))
9.0ms	(.f32 (.f32 alphay alphay) (*.f32 alphax alphax))
8.0ms	(.f32 (.f32 alphay alphay) (*.f32 alphax alphax))

Compiler

Compiled 13047 to 2411 computations (81.5% saved)

series476.0ms (1.8%)

Error

0.1b

Counts

4 → 48

Calls

4 calls:

203.0ms	(/.f32 (.f32 (.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (pow.f32 u0 3)) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi)))
162.0ms	(/.f32 (.f32 (pow.f32 u0 4) (.f32 (.f32 alphay alphay) (.f32 alphax alphax))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi)))
43.0ms	(.f32 (.f32 alphay alphay) (*.f32 alphax alphax))
41.0ms	(.f32 (.f32 alphay alphay) (*.f32 alphax alphax))

Compiler

Compiled 10108 to 3986 computations (60.6% saved)

simplify289.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

487×	`unswap-sqr_binary32`
338×	`associate-r_binary32`
331×	`associate-l_binary32`
306×	`associate-/l*_binary32`
185×	`times-frac_binary32`

Counts

188 → 150

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	11436
1	583	10274
2	3080	10190
3	4989	10190
4	4973	10190

prune215.0ms (0.8%)

Pruning

20 alts after pruning (18 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	18	18
Picked	0	1	1
Done	0	1	1
Total	150	20	170

Error

0.1b

Counts

170 → 20

Alt Table

Status	Error	Program
	11.0b	(.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (-.f32 (.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 cos2phi (.f32 alphax alphax))) (/.f32 (.f32 sin2phi sin2phi) (pow.f32 alphay 4)))) (-.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))
	23.2b	(log.f32 (exp.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	13.9b	(/.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))))
✓	2.6b	(.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))) (.f32 (.f32 alphax alphax) (.f32 alphay alphay)))
	4.2b	(exp.f32 (log.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	12.7b	(.f32 (.f32 (/.f32 (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0)))) (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (cbrt.f32 (log.f32 (-.f32 1 u0)))) (/.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	12.7b	(.f32 (/.f32 (.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (neg.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))))) (.f32 (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))) (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))) (/.f32 (cbrt.f32 (log.f32 (-.f32 1 u0))) (cbrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))))
	21.9b	(.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))) (log.f32 (exp.f32 (.f32 (.f32 alphay alphay) (.f32 alphax alphax)))))
	2.6b	(+.f32 (+.f32 (.f32 1/2 (/.f32 (.f32 u0 u0) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (+.f32 (/.f32 u0 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))) (.f32 1/3 (/.f32 (pow.f32 u0 3) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))) (.f32 1/4 (/.f32 (pow.f32 u0 4) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	18.3b	(.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))))
	2.9b	(.f32 (.f32 (cbrt.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))))) (cbrt.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))))) (/.f32 (cbrt.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3)))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))
	2.8b	(.f32 (.f32 (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi)))) (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))))) (.f32 (.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))))))
	12.7b	(.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u0)))) (/.f32 (sqrt.f32 (neg.f32 (log.f32 (-.f32 1 u0)))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay)))))
	3.0b	(/.f32 (sqrt.f32 (+.f32 u0 (+.f32 (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 1/3 u0))) (.f32 1/4 (pow.f32 u0 4))))) (/.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))) (sqrt.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))))))
	2.9b	(.f32 (.f32 (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay)))))) (cbrt.f32 (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))))
	12.6b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 1 (/.f32 alphay (/.f32 sin2phi alphay)))))
	13.4b	(/.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))))
	2.8b	(.f32 (/.f32 1 (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (.f32 alphay alphay))))) (/.f32 (+.f32 u0 (+.f32 (.f32 1/4 (pow.f32 u0 4)) (.f32 (.f32 u0 u0) (+.f32 1/2 (.f32 u0 1/3))))) (sqrt.f32 (+.f32 (/.f32 cos2phi (.f32 alphax alphax)) (/.f32 sin2phi (*.f32 alphay alphay))))))
	12.7b	(/.f32 (neg.f32 (log.f32 (-.f32 1 u0))) (+.f32 (/.f32 cos2phi (*.f32 alphax alphax)) (/.f32 (sqrt.f32 sin2phi) (/.f32 alphay (/.f32 (sqrt.f32 sin2phi) alphay)))))
✓	2.6b	(+.f32 (/.f32 (.f32 u0 (.f32 (.f32 alphay alphay) (.f32 alphax alphax))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi))) (+.f32 (.f32 1/2 (/.f32 (.f32 u0 (.f32 u0 (.f32 (.f32 alphay alphay) (.f32 alphax alphax)))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi)))) (+.f32 (.f32 1/3 (/.f32 (.f32 (.f32 (.f32 alphay alphay) (.f32 alphax alphax)) (pow.f32 u0 3)) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi)))) (.f32 1/4 (/.f32 (.f32 (pow.f32 u0 4) (.f32 (.f32 alphay alphay) (.f32 alphax alphax))) (+.f32 (.f32 cos2phi (.f32 alphay alphay)) (.f32 (.f32 alphax alphax) sin2phi)))))))

Compiler

Compiled 6225 to 1599 computations (74.3% saved)

regimes15.2s (56%)

Accuracy

Total 0.5b remaining (81.4%)

Threshold costs 0.5b (81.4%)

Compiler

Compiled 254107 to 154454 computations (39.2% saved)

bsearch25.0ms (0.1%)

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

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Rules

17×	`*-commutative_binary32`
15×	`+-commutative_binary32`
10×	`sub-neg_binary32`
10×	`neg-sub0_binary32`
10×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	39	93
1	60	93
2	71	93
3	80	93
4	92	93
5	105	93
6	114	93
7	120	93
8	122	93
9	121	93

end3.0ms (0%)

Compiler: Compiled 67 to 40 computations (40.3% saved)

sample3.2s (11.6%)

Algorithm

1×

intervals

Results

792.0ms	8000×	body	128	valid
339.0ms	8000×	pre	128	true

Compiler

Compiled 1174 to 671 computations (42.8% 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

analyze1.9s (7%)

sample76.0ms (0.3%)

simplify27.0ms (0.1%)

prune4.0ms (0%)

localize53.0ms (0.2%)

rewrite234.0ms (0.9%)

series401.0ms (1.5%)

simplify224.0ms (0.8%)

prune127.0ms (0.5%)

localize86.0ms (0.3%)

rewrite255.0ms (0.9%)

series1.1s (3.9%)

simplify318.0ms (1.2%)

prune301.0ms (1.1%)

localize98.0ms (0.4%)

rewrite304.0ms (1.1%)

series1.1s (4.1%)

simplify282.0ms (1%)

prune344.0ms (1.3%)

localize141.0ms (0.5%)

rewrite442.0ms (1.6%)

series476.0ms (1.8%)

simplify289.0ms (1.1%)

prune215.0ms (0.8%)

regimes15.2s (56%)

bsearch25.0ms (0.1%)

simplify8.0ms (0%)

end3.0ms (0%)

sample3.2s (11.6%)

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