Details

analyze586.0ms (3.4%)

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 37 to 28 computations (24.3% saved)

sample2.9s (17%)

Results

2.9s	8256×	body	128	valid
1.0ms	3×	body	128	invalid

Compiler

Compiled 88 to 67 computations (23.9% saved)

simplify19.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary32`
7×	`+-commutative_binary32`
6×	`fma-def_binary32`
4×	`*-commutative_binary32`
4×	`div-sub_binary32`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

prune4.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.3b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize81.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(*.f32 314159265359/50000000000 u2)

series82.0ms (0.5%)

Counts

4 → 40

Calls

4 calls:

54.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
19.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
4.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 314159265359/50000000000 u2)

rewrite44.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`add-sqr-sqrt_binary32`
69×	`*-un-lft-identity_binary32`
56×	`times-frac_binary32`
50×	`sqrt-prod_binary32`
39×	`add-cube-cbrt_binary32`

Counts

4 → 148

Calls

4 calls:

14.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
7.0ms	(/.f32 u1 (-.f32 1 u1))
6.0ms	(*.f32 314159265359/50000000000 u2)
5.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

simplify179.0ms (1%)

Algorithm

1×	egg-herbie

Rules

595×	`associate-/r*_binary32`
481×	`fma-def_binary32`
401×	`times-frac_binary32`
261×	`associate-/l*_binary32`
204×	`fma-neg_binary32`

Counts

188 → 226

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	289	3681
1	635	3497
2	1868	3373
3	4856	3373
4	4924	3373

prune511.0ms (3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	217	9	226
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	218	9	227

Error

0.1b

Counts

227 → 9

Alt Table

Status	Error	Program
	0.7b	(.f32 (.f32 (sqrt.f32 (.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 u1))) (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
▶	0.3b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.4b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.7b	(.f32 (sqrt.f32 (+.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (pow.f32 u1 4))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	1.7b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 5129 to 3741 computations (27.1% saved)

localize80.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
✓	0.3b	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))
✓	1.5b	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

series472.0ms (2.7%)

Counts

3 → 36

Calls

3 calls:

202.0ms

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))

147.0ms

(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

123.0ms

(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))

rewrite52.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`*-un-lft-identity_binary32`
35×	`add-sqr-sqrt_binary32`
27×	`associate-l_binary32`
26×	`sqrt-prod_binary32`
19×	`times-frac_binary32`

Counts

3 → 93

Calls

3 calls:

23.0ms

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))

9.0ms

(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

7.0ms

(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))

simplify179.0ms (1%)

Algorithm

1×	egg-herbie

Rules

299×	`associate-/r*_binary32`
291×	`associate-l_binary32`
288×	`distribute-neg-frac_binary32`
274×	`fma-neg_binary32`
273×	`fma-def_binary32`

Counts

129 → 154

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	205	2257
1	426	2069
2	1128	1983
3	3644	1983
4	4959	1983

prune541.0ms (3.1%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	213	4	217
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	216	10	226

Error

0.0b

Counts

226 → 10

Alt Table

Status	Error	Program
	2.3b	(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.4b	(*.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	1.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.7b	(.f32 (sqrt.f32 (+.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (pow.f32 u1 4))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.7b	(.f32 (.f32 (sqrt.f32 (.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 u1))) (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))) (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))

Compiler

Compiled 5200 to 3780 computations (27.3% saved)

localize73.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(/.f32 (-.f32 1 u1) (sqrt.f32 u1))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.4b	(/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))

series88.0ms (0.5%)

Counts

3 → 24

Calls

3 calls:

56.0ms

(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

18.0ms

(/.f32 (-.f32 1 u1) (sqrt.f32 u1))

13.0ms

(/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))

rewrite376.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

994×	`times-frac_binary32`
755×	`sqrt-prod_binary32`
717×	`add-sqr-sqrt_binary32`
691×	`*-un-lft-identity_binary32`
436×	`add-cube-cbrt_binary32`

Counts

3 → 641

Calls

3 calls:

103.0ms

(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

31.0ms

(/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))

13.0ms

(/.f32 (-.f32 1 u1) (sqrt.f32 u1))

simplify1.1s (6.2%)

Algorithm

1×	egg-herbie

Rules

459×	`fma-def_binary32`
296×	`associate-/r/_binary32`
282×	`associate-/l/_binary32`
279×	`*-commutative_binary32`
199×	`fma-neg_binary32`

Counts

665 → 722

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	540	19073
1	1116	17209
2	3218	16678
3	4676	16579
4	4934	16579
5	4940	16579

prune2.0s (11.6%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	743	1	744
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	743	11	754

Error

0.0b

Counts

754 → 11

Alt Table

Status	Error	Program
	2.3b	(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.4b	(*.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.7b	(.f32 (.f32 (sqrt.f32 (.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 u1))) (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 (fabs.f32 (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1))) (/.f32 (sqrt.f32 (cbrt.f32 u1)) (+.f32 (/.f32 1 (sqrt.f32 u1)) -1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	1.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.7b	(.f32 (sqrt.f32 (+.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (pow.f32 u1 4))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))) (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))

Compiler

Compiled 21820 to 12499 computations (42.7% saved)

localize131.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))) (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))
	0.3b	(+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))
✓	0.5b	(/.f32 1 (+.f32 1 (sqrt.f32 u1)))
	1.5b	(exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))

series90.0ms (0.5%)

Counts

2 → 2

Calls

2 calls:

62.0ms	(*.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))) (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))
27.0ms	(/.f32 1 (+.f32 1 (sqrt.f32 u1)))

rewrite84.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

79×	`add-sqr-sqrt_binary32`
72×	`*-un-lft-identity_binary32`
64×	`times-frac_binary32`
34×	`add-cube-cbrt_binary32`
33×	`associate-r_binary32`

Counts

2 → 129

Calls

2 calls:

49.0ms	(*.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))) (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))
8.0ms	(/.f32 1 (+.f32 1 (sqrt.f32 u1)))

simplify212.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

711×	`div-sub_binary32`
570×	`times-frac_binary32`
490×	`associate-/l*_binary32`
397×	`distribute-rgt-in_binary32`
389×	`associate-*l/_binary32`

Counts

131 → 170

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	135	2512
1	350	2235
2	1074	2235
3	3368	2228
4	4604	2228
5	6135	2228

prune742.0ms (4.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	236	0	236
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	236	11	247

Error

0.0b

Counts

247 → 11

Alt Table

Status	Error	Program
	2.3b	(*.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.4b	(*.f32 (sqrt.f32 (/.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.7b	(.f32 (.f32 (sqrt.f32 (.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 u1))) (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 (fabs.f32 (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1))) (/.f32 (sqrt.f32 (cbrt.f32 u1)) (+.f32 (/.f32 1 (sqrt.f32 u1)) -1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	1.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.7b	(.f32 (sqrt.f32 (+.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1) (pow.f32 u1 4))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))) (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))

Compiler

Compiled 7213 to 4985 computations (30.9% saved)

regimes6.3s (36.5%)

Accuracy

Total 0.2b remaining (75.1%)

Threshold costs 0.2b (75.1%)

Counts

296 → 1

Compiler

Compiled 61150 to 47052 computations (23.1% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary32`
2×	`+-commutative_binary32`
2×	`sub-neg_binary32`
1×	`neg-sub0_binary32`
1×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	29
1	21	29
2	25	29
3	27	29
4	28	29
5	27	29

end337.0ms (1.9%)

Compiler: Compiled 304 to 233 computations (23.4% saved)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

Details

analyze586.0ms (3.4%)

sample2.9s (17%)

simplify19.0ms (0.1%)

prune4.0ms (0%)

localize81.0ms (0.5%)

series82.0ms (0.5%)

rewrite44.0ms (0.3%)

simplify179.0ms (1%)

prune511.0ms (3%)

localize80.0ms (0.5%)

series472.0ms (2.7%)

rewrite52.0ms (0.3%)

simplify179.0ms (1%)

prune541.0ms (3.1%)

localize73.0ms (0.4%)

series88.0ms (0.5%)

rewrite376.0ms (2.2%)

simplify1.1s (6.2%)

prune2.0s (11.6%)

localize131.0ms (0.8%)

series90.0ms (0.5%)

rewrite84.0ms (0.5%)

simplify212.0ms (1.2%)

prune742.0ms (4.3%)

regimes6.3s (36.5%)

simplify6.0ms (0%)

end337.0ms (1.9%)

Profiling

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17