Details

analyze753.0ms (6.9%)

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 37 to 28 computations (24.3% saved)

sample143.0ms (1.3%)

Algorithm

1×

intervals

Results

48.0ms	256×	body	128	valid
17.0ms	256×	pre	128	true

Compiler

Compiled 54 to 42 computations (22.2% saved)

simplify17.0ms (0.2%)

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

prune3.0ms (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)

localize64.0ms (0.6%)

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))
✓	0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(*.f32 314159265359/50000000000 u2)

series77.0ms (0.7%)

Counts

4 → 40

Calls

4 calls:

52.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
18.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
4.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 314159265359/50000000000 u2)

rewrite71.0ms (0.7%)

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:

21.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
10.0ms	(*.f32 314159265359/50000000000 u2)
9.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
8.0ms	(/.f32 u1 (-.f32 1 u1))

simplify218.0ms (2%)

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

prune568.0ms (5.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	215	11	226
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	216	11	227

Error

0.0b

Counts

227 → 11

Alt Table

Status	Error	Program
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	6.3b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.3b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	6.3b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 5165 to 3791 computations (26.6% saved)

localize74.0ms (0.7%)

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

series197.0ms (1.8%)

Counts

2 → 32

Calls

2 calls:

126.0ms

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

70.0ms

(*.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))

rewrite46.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-l_binary32`
32×	`add-sqr-sqrt_binary32`
29×	`sqrt-prod_binary32`
25×	`*-un-lft-identity_binary32`
19×	`times-frac_binary32`

Counts

2 → 70

Calls

2 calls:

22.0ms

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

13.0ms

(*.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))

simplify135.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

403×	`fma-neg_binary32`
331×	`*-commutative_binary32`
329×	`fma-def_binary32`
299×	`associate-/r*_binary32`
257×	`unswap-sqr_binary32`

Counts

102 → 129

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	201	2054
1	453	1928
2	1315	1793
3	3527	1785
4	4920	1785

prune641.0ms (5.9%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	238	3	241
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	244	8	252

Error

0.0b

Counts

252 → 8

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	2.3b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.8b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
▶	0.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	6.3b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))

Compiler

Compiled 6075 to 4689 computations (22.8% saved)

localize128.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))
	0.3b	(.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))
✓	0.4b	(*.f32 u2 314159265359/50000000000)

series429.0ms (3.9%)

Counts

2 → 24

Calls

2 calls:

425.0ms	(.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))
3.0ms	(*.f32 u2 314159265359/50000000000)

rewrite24.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary32`
16×	`cbrt-prod_binary32`
12×	`*-un-lft-identity_binary32`
12×	`add-cube-cbrt_binary32`
11×	`pow1_binary32`

Counts

2 → 62

Calls

2 calls:

11.0ms	(.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))))
5.0ms	(*.f32 u2 314159265359/50000000000)

simplify164.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

766×	`fma-def_binary32`
569×	`fma-neg_binary32`
455×	`log-prod_binary32`
394×	`cancel-sign-sub-inv_binary32`
314×	`sqr-pow_binary32`

Counts

86 → 94

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	97	1079
1	182	1035
2	448	907
3	1064	879
4	2114	756
5	3810	756
6	4309	756
7	4988	756
8	4872	756

prune534.0ms (4.9%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	219	3	222
Fresh	1	6	7
Picked	1	0	1
Done	0	0	0
Total	221	9	230

Error

0.0b

Counts

230 → 9

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	2.3b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 5) (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 (cbrt.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (cbrt.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))) (cbrt.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
▶	0.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	6.3b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 7854 to 6389 computations (18.7% saved)

localize90.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))
	0.4b	(*.f32 u2 314159265359/50000000000)
✓	0.4b	(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))
✓	1.5b	(exp.f32 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)))

series142.0ms (1.3%)

Counts

2 → 24

Calls

2 calls:

76.0ms	(exp.f32 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)))
65.0ms	(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`*-un-lft-identity_binary32`
11×	`pow1_binary32`
9×	`log-pow_binary32`
8×	`distribute-lft-out_binary32`
7×	`exp-prod_binary32`

Counts

2 → 46

Calls

2 calls:

4.0ms	(exp.f32 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000)))
4.0ms	(+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

636×	`times-frac_binary32`
556×	`fma-def_binary32`
532×	`fma-neg_binary32`
335×	`distribute-rgt-in_binary32`
265×	`distribute-lft-in_binary32`

Counts

70 → 68

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	71	467
1	145	443
2	346	441
3	911	441
4	3450	441
5	5041	441

prune270.0ms (2.5%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	1	7	8
Picked	1	0	1
Done	0	0	0
Total	133	9	142

Error

0.0b

Counts

142 → 9

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	2.3b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (cos.f32 (exp.f32 (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))))))) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 5) (cbrt.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 (cbrt.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))) (cbrt.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))) (cbrt.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.4b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (cos.f32 (pow.f32 (E.f32) (+.f32 (log.f32 u2) (log.f32 314159265359/50000000000))))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))

Compiler

Compiled 4973 to 4024 computations (19.1% saved)

regimes4.2s (38.3%)

Accuracy

Total 0.3b remaining (82%)

Threshold costs 0.3b (82%)

Counts

314 → 1

Compiler

Compiled 61834 to 50245 computations (18.7% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-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	16	57
1	24	57
2	28	57
3	30	57
4	31	57
5	30	57

end1.0ms (0%)

Compiler: Compiled 39 to 30 computations (23.1% saved)

sample1.8s (16.9%)

Algorithm

1×

intervals

Results

744.0ms	8000×	body	128	valid
331.0ms	8000×	pre	128	true
0.0ms	3×	pre	128	false

Compiler

Compiled 357 to 289 computations (19% 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

analyze753.0ms (6.9%)

sample143.0ms (1.3%)

simplify17.0ms (0.2%)

prune3.0ms (0%)

localize64.0ms (0.6%)

series77.0ms (0.7%)

rewrite71.0ms (0.7%)

simplify218.0ms (2%)

prune568.0ms (5.2%)

localize74.0ms (0.7%)

series197.0ms (1.8%)

rewrite46.0ms (0.4%)

simplify135.0ms (1.2%)

prune641.0ms (5.9%)

localize128.0ms (1.2%)

series429.0ms (3.9%)

rewrite24.0ms (0.2%)

simplify164.0ms (1.5%)

prune534.0ms (4.9%)

localize90.0ms (0.8%)

series142.0ms (1.3%)

rewrite9.0ms (0.1%)

simplify62.0ms (0.6%)

prune270.0ms (2.5%)

regimes4.2s (38.3%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.8s (16.9%)

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