Details

analyze377.0ms (3.3%)

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 29 to 22 computations (24.1% saved)

sample56.0ms (0.5%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
13.0ms	256×	pre	128	true

Compiler

Compiled 46 to 36 computations (21.7% saved)

simplify11.0ms (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 → 0

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

prune1.0ms (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

0.4b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(cos.f32 (*.f32 3537118876014453/562949953421312 u2))
0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
0.2b	(/.f32 u1 (-.f32 1 u1))
0.3b	(*.f32 3537118876014453/562949953421312 u2)

rewrite174.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

59×	`add-sqr-sqrt_binary32`
50×	`*-un-lft-identity_binary32`
37×	`times-frac_binary32`
30×	`associate-l_binary32`
29×	`add-cube-cbrt_binary32`

Counts

4 → 119

Calls

4 calls:

10.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
4.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 3537118876014453/562949953421312 u2)
1.0ms	(cos.f32 (*.f32 3537118876014453/562949953421312 u2))

Compiler

Compiled 2001 to 1434 computations (28.3% saved)

series60.0ms (0.5%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

21.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
9.0ms	(*.f32 3537118876014453/562949953421312 u2)
9.0ms	(cos.f32 (*.f32 3537118876014453/562949953421312 u2))
5.0ms	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 868 to 687 computations (20.9% saved)

simplify119.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

879×	`fma-neg_binary32`
474×	`cancel-sign-sub-inv_binary32`
354×	`associate-l_binary32`
261×	`associate-r_binary32`
248×	`fma-def_binary32`

Counts

143 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	2201
1	418	2059
2	1068	2025
3	2673	2022
4	4508	2022
5	4926	2022

prune88.0ms (0.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	68	9	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	9	78

Error

0.1b

Counts

78 → 9

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))
	6.3b	(log.f32 (exp.f32 (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (cos.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1 1) (+.f32 (.f32 u1 u1) (.f32 1 u1))))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
	0.7b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (cos.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))

Compiler

Compiled 1518 to 1091 computations (28.1% saved)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))
0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
0.2b	(/.f32 u1 (-.f32 1 u1))
0.2b	(.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))

rewrite187.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

57×	`add-sqr-sqrt_binary32`
50×	`*-un-lft-identity_binary32`
37×	`times-frac_binary32`
33×	`associate-l_binary32`
29×	`sqrt-prod_binary32`

Counts

4 → 122

Calls

4 calls:

12.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
6.0ms	(.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))
4.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))

Compiler

Compiled 2546 to 1983 computations (22.1% saved)

series69.0ms (0.6%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

26.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
10.0ms	(cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))
7.0ms	(.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))
7.0ms	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 1128 to 946 computations (16.1% saved)

simplify138.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

533×	`fma-neg_binary32`
373×	`cancel-sign-sub-inv_binary32`
314×	`*-commutative_binary32`
307×	`fma-def_binary32`
209×	`distribute-rgt-neg-in_binary32`

Counts

146 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	2796
1	484	2108
2	1296	2058
3	2721	2047
4	4832	2047
5	4890	2047

prune82.0ms (0.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	104	3	107
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	105	11	116

Error

0.1b

Counts

116 → 11

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))
	6.3b	(log.f32 (exp.f32 (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2))) (cbrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (cos.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))
▶	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1 1) (+.f32 (.f32 u1 u1) (.f32 1 u1))))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
	1.8b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)))) (sqrt.f32 (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))))
	0.5b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))

Compiler

Compiled 2023 to 1509 computations (25.4% saved)

localize68.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(cos.f32 (*.f32 3537118876014453/562949953421312 u2))
0.1b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1 1) (+.f32 (.f32 u1 u1) (.f32 1 u1))))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
0.3b	(.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1 1) (+.f32 (.f32 u1 u1) (.f32 1 u1))))
0.3b	(*.f32 3537118876014453/562949953421312 u2)

rewrite239.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

64×	`add-sqr-sqrt_binary32`
49×	`associate-l_binary32`
44×	`*-un-lft-identity_binary32`
37×	`times-frac_binary32`
25×	`add-cube-cbrt_binary32`

Counts

4 → 125

Calls

4 calls:

20.0ms	(.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1 1) (+.f32 (.f32 u1 u1) (.f32 1 u1))))
16.0ms	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1 1) (+.f32 (.f32 u1 u1) (.f32 1 u1))))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
3.0ms	(*.f32 3537118876014453/562949953421312 u2)
1.0ms	(cos.f32 (*.f32 3537118876014453/562949953421312 u2))

Compiler

Compiled 4211 to 3051 computations (27.5% saved)

series71.0ms (0.6%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

33.0ms	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1 1) (+.f32 (.f32 u1 u1) (.f32 1 u1))))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
7.0ms	(cos.f32 (*.f32 3537118876014453/562949953421312 u2))
6.0ms	(.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1 1) (+.f32 (.f32 u1 u1) (.f32 1 u1))))
5.0ms	(*.f32 3537118876014453/562949953421312 u2)

Compiler

Compiled 1384 to 1092 computations (21.1% saved)

simplify174.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

470×	`associate-*l/_binary32`
433×	`times-frac_binary32`
381×	`associate-/l*_binary32`
278×	`fma-neg_binary32`
241×	`distribute-rgt-in_binary32`

Counts

149 → 112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	249	3410
1	721	3094
2	2450	3046
3	4540	2998
4	4806	2998
5	4971	2998
6	4956	2998

prune170.0ms (1.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	109	14	123

Error

0.1b

Counts

123 → 14

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))
	6.3b	(log.f32 (exp.f32 (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	1.8b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)))) (sqrt.f32 (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 (+.f32 (fma.f32 u1 u1 u1) (pow.f32 u1 3)) (-.f32 1 (pow.f32 u1 3)))) (.f32 (cbrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2))) (cbrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2))))) (cbrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (+.f32 (log.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2))) (cbrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (cos.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))
✓	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1 1) (+.f32 (.f32 u1 u1) (.f32 1 u1))))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
	14.1b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 (+.f32 (fma.f32 u1 u1 u1) (pow.f32 u1 3)) (-.f32 1 (pow.f32 u1 3)))))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))

Compiler

Compiled 3488 to 2409 computations (30.9% saved)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
0.2b	(.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))
0.3b	(/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))
0.4b	(/.f32 u1 (+.f32 1 (sqrt.f32 u1)))

rewrite814.0ms (7.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

825×	`times-frac_binary32`
783×	`add-sqr-sqrt_binary32`
746×	`*-un-lft-identity_binary32`
703×	`sqrt-prod_binary32`
269×	`add-cube-cbrt_binary32`

Counts

4 → 605

Calls

4 calls:

55.0ms	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
15.0ms	(/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))
8.0ms	(.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))
7.0ms	(/.f32 u1 (+.f32 1 (sqrt.f32 u1)))

Compiler

Compiled 12687 to 8904 computations (29.8% saved)

series152.0ms (1.3%)

Error

0.1b

Counts

4 → 18

Calls

4 calls:

111.0ms	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
10.0ms	(/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))
9.0ms	(.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))
8.0ms	(/.f32 u1 (+.f32 1 (sqrt.f32 u1)))

Compiler

Compiled 1218 to 971 computations (20.3% saved)

simplify516.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

799×	`fma-def_binary32`
506×	`associate-*l/_binary32`
455×	`associate-/r/_binary32`
238×	`associate-/l/_binary32`
189×	`*-commutative_binary32`

Counts

623 → 588

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	452	20805
1	979	18651
2	2616	18562
3	4800	18552
4	5355	18552

prune408.0ms (3.6%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	587	1	588
Fresh	1	10	11
Picked	1	0	1
Done	0	2	2
Total	589	13	602

Error

0.1b

Counts

602 → 13

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))
	6.3b	(log.f32 (exp.f32 (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	1.8b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)))) (sqrt.f32 (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 (+.f32 (fma.f32 u1 u1 u1) (pow.f32 u1 3)) (-.f32 1 (pow.f32 u1 3)))) (.f32 (cbrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2))) (cbrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2))))) (cbrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (+.f32 (log.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3)))) (log1p.f32 (fma.f32 u1 u1 u1))))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2))) (cbrt.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 (sqrt.f32 u1)) (/.f32 u1 (+.f32 1 (sqrt.f32 u1)))))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (cos.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 (.f32 1 1) (+.f32 (.f32 u1 u1) (.f32 1 u1))))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
	14.1b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 (+.f32 (fma.f32 u1 u1 u1) (pow.f32 u1 3)) (-.f32 1 (pow.f32 u1 3)))))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))

Compiler

Compiled 8610 to 5798 computations (32.7% saved)

regimes5.2s (46.4%)

Accuracy

Total 0.3b remaining (79.3%)

Threshold costs 0.3b (79.3%)

Compiler

Compiled 94363 to 73546 computations (22.1% saved)

simplify4.0ms (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	15	28
1	22	28
2	26	28
3	28	28
4	29	28
5	28	28

end1.0ms (0%)

Compiler: Compiled 20 to 17 computations (15% saved)

sample2.0s (17.3%)

Algorithm

1×

intervals

Results

801.0ms	8000×	body	128	valid
250.0ms	8000×	pre	128	true
0.0ms	4×	pre	128	false

Compiler

Compiled 392 to 308 computations (21.4% 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

analyze377.0ms (3.3%)

sample56.0ms (0.5%)

simplify11.0ms (0.1%)

prune1.0ms (0%)

localize29.0ms (0.3%)

rewrite174.0ms (1.5%)

series60.0ms (0.5%)

simplify119.0ms (1.1%)

prune88.0ms (0.8%)

localize37.0ms (0.3%)

rewrite187.0ms (1.7%)

series69.0ms (0.6%)

simplify138.0ms (1.2%)

prune82.0ms (0.7%)

localize68.0ms (0.6%)

rewrite239.0ms (2.1%)

series71.0ms (0.6%)

simplify174.0ms (1.5%)

prune170.0ms (1.5%)

localize53.0ms (0.5%)

rewrite814.0ms (7.2%)

series152.0ms (1.3%)

simplify516.0ms (4.6%)

prune408.0ms (3.6%)

regimes5.2s (46.4%)

simplify4.0ms (0%)

end1.0ms (0%)

sample2.0s (17.3%)

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