Details

analyze368.0ms (2.5%)

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)

sample52.0ms (0.4%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
9.0ms	256×	pre	128	true

Compiler

Compiled 46 to 36 computations (21.7% saved)

simplify10.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary32`
7×	`+-commutative_binary32`
4×	`div-sub_binary32` `*-commutative_binary32`
3×	`sub0-neg_binary32` `associate-/r*_binary32` `associate--r+_binary32` `associate-+l-_binary32`
2×	`neg-mul-1_binary32` `--rgt-identity_binary32`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	26	17
4	32	17
5	40	17
6	49	17
7	63	17
8	70	17
9	73	17
10	74	17
11	54	17

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

0.5b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite258.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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 → 111

Calls

4 calls:

14.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
6.0ms	(/.f32 u1 (-.f32 1 u1))
4.0ms	(*.f32 3537118876014453/562949953421312 u2)
2.0ms	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))

Compiler

Compiled 1897 to 1354 computations (28.6% saved)

series108.0ms (0.7%)

Error

0.3b

Counts

4 → 24

Calls

4 calls:

42.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
14.0ms	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))
12.0ms	(/.f32 u1 (-.f32 1 u1))
10.0ms	(*.f32 3537118876014453/562949953421312 u2)

Compiler

Compiled 905 to 711 computations (21.4% saved)

simplify165.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

433×	`associate-/l/_binary32`
378×	`associate-l_binary32`
328×	`associate-/r/_binary32`
274×	`associate-r_binary32`
185×	`distribute-rgt-in_binary32`

Counts

135 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	209	2167
1	417	2022
2	1064	2000
3	2495	1994
4	4826	1994
5	4982	1994
6	4900	1994

prune173.0ms (1.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	65	12	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	12	78

Error

0.1b

Counts

78 → 12

Alt Table

Status	Error	Program
	0.6b	(/.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
	0.6b	(.f32 (sqrt.f32 (.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
	1.9b	(.f32 (.f32 (sqrt.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2))) (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2))) (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
	2.3b	(.f32 (sqrt.f32 (.f32 (+.f32 u1 (pow.f32 u1 3)) (+.f32 u1 1))) (sin.f32 (*.f32 3537118876014453/562949953421312 u2)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1))) (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) 1)) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.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 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))

Compiler

Compiled 1677 to 1206 computations (28.1% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite524.0ms (3.6%)

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×	`add-cube-cbrt_binary32` `sqrt-prod_binary32`

Counts

4 → 114

Calls

4 calls:

16.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.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)))
6.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(sin.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))

Compiler

Compiled 2410 to 1871 computations (22.4% saved)

series150.0ms (1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

55.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
22.0ms	(sin.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))
18.0ms	(.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))
16.0ms	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 1210 to 1015 computations (16.1% saved)

simplify142.0ms (1%)

Algorithm

1×	egg-herbie

Rules

496×	`div-sub_binary32`
413×	`cancel-sign-sub-inv_binary32`
375×	`distribute-rgt-neg-in_binary32`
353×	`*-commutative_binary32`
352×	`distribute-lft-neg-in_binary32`

Counts

138 → 106

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	225	2794
1	484	2121
2	1305	2081
3	2613	2067
4	4675	2067
5	5469	2067

prune232.0ms (1.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	106	12	118

Error

0.0b

Counts

118 → 12

Alt Table

Status	Error	Program
	0.6b	(/.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
	1.8b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)))) (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (sin.f32 (*.f32 u2 3537118876014453/562949953421312)))))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328))))
	0.6b	(.f32 (sqrt.f32 (.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
	2.3b	(.f32 (sqrt.f32 (.f32 (+.f32 u1 (pow.f32 u1 3)) (+.f32 u1 1))) (sin.f32 (*.f32 3537118876014453/562949953421312 u2)))
	0.6b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (sin.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 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	0.9b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312))) (cbrt.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312))))) (cbrt.f32 (sin.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 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))

Compiler

Compiled 2083 to 1556 computations (25.3% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f32 u1 (-.f32 1 u1))
0.2b	(sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328)))
0.2b	(*.f32 (pow.f32 u2 3) 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328)
0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328))))

rewrite312.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

66×	`add-sqr-sqrt_binary32`
52×	`*-un-lft-identity_binary32`
39×	`associate-l_binary32`
37×	`times-frac_binary32`
31×	`add-cube-cbrt_binary32`

Counts

4 → 124

Calls

4 calls:

14.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328))))
8.0ms	(*.f32 (pow.f32 u2 3) 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328)
6.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328)))

Compiler

Compiled 2443 to 1862 computations (23.8% saved)

series151.0ms (1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

53.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328))))
23.0ms	(sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328)))
13.0ms	(/.f32 u1 (-.f32 1 u1))
13.0ms	(*.f32 (pow.f32 u2 3) 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328)

Compiler

Compiled 1175 to 971 computations (17.4% saved)

simplify171.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

453×	`*-commutative_binary32`
387×	`cancel-sign-sub-inv_binary32`
326×	`unswap-sqr_binary32`
228×	`log-prod_binary32`
196×	`associate-l_binary32`

Counts

148 → 106

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	242	2775
1	500	2582
2	1533	2560
3	3021	2536
4	4615	2530
5	4903	2530

prune238.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	104	2	106
Fresh	2	9	11
Picked	0	1	1
Done	0	0	0
Total	106	12	118

Error

0.0b

Counts

118 → 12

Alt Table

Status	Error	Program
	1.8b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)))) (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (sin.f32 (*.f32 u2 3537118876014453/562949953421312)))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328))))
	0.6b	(.f32 (sqrt.f32 (.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
	2.3b	(.f32 (sqrt.f32 (.f32 (+.f32 u1 (pow.f32 u1 3)) (+.f32 u1 1))) (sin.f32 (*.f32 3537118876014453/562949953421312 u2)))
	0.6b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (sin.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 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	0.5b	(/.f32 (.f32 (sin.f32 (cbrt.f32 (.f32 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328 (pow.f32 u2 3)))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
	20.8b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328 (pow.f32 u2 3)))))))
	0.9b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312))) (cbrt.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312))))) (cbrt.f32 (sin.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 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))

Compiler

Compiled 2256 to 1722 computations (23.7% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite326.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

55×	`add-sqr-sqrt_binary32`
48×	`*-un-lft-identity_binary32`
37×	`times-frac_binary32`
28×	`associate-l_binary32`
27×	`add-cube-cbrt_binary32`

Counts

4 → 115

Calls

4 calls:

15.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
9.0ms	(.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))
6.0ms	(sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312))))
6.0ms	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 2788 to 2239 computations (19.7% saved)

series166.0ms (1.1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

60.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
24.0ms	(sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312))))
20.0ms	(.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))
16.0ms	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 1263 to 1065 computations (15.7% saved)

simplify118.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

449×	`associate-/l/_binary32`
400×	`cancel-sign-sub-inv_binary32`
385×	`*-commutative_binary32`
225×	`distribute-rgt-neg-in_binary32`
200×	`distribute-lft-neg-in_binary32`

Counts

139 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	3255
1	490	2141
2	1382	2119
3	2645	2113
4	4924	2113

prune170.0ms (1.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	106	1	107
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	107	12	119

Error

0.0b

Counts

119 → 12

Alt Table

Status	Error	Program
	1.8b	(.f32 (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)))) (.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (sin.f32 (*.f32 u2 3537118876014453/562949953421312)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328))))
	0.6b	(.f32 (sqrt.f32 (.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
	2.3b	(.f32 (sqrt.f32 (.f32 (+.f32 u1 (pow.f32 u1 3)) (+.f32 u1 1))) (sin.f32 (*.f32 3537118876014453/562949953421312 u2)))
	0.6b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (sin.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 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	0.8b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2))) (cbrt.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2))))) (cbrt.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	0.5b	(/.f32 (.f32 (sin.f32 (cbrt.f32 (.f32 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328 (pow.f32 u2 3)))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
	20.8b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 44253636851369267771250149644772426846327737677/178405961588244985132285746181186892047843328 (pow.f32 u2 3)))))))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))

Compiler

Compiled 1818 to 1366 computations (24.9% saved)

regimes8.4s (56.9%)

Accuracy

Total 0.4b remaining (84.9%)

Threshold costs 0.4b (84.9%)

Compiler

Compiled 72750 to 58011 computations (20.3% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary32`
2×	`sub-neg_binary32` `+-commutative_binary32`
1×	`1-exp_binary32` `neg-mul-1_binary32` `neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

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

end2.0ms (0%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

sample2.3s (15.9%)

Algorithm

1×

intervals

Results

730.0ms	8000×	body	128	valid
304.0ms	8000×	pre	128	true
0.0ms	3×	pre	128	false

Compiler

Compiled 330 to 259 computations (21.5% saved)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	26	17
4	32	17
5	40	17
6	49	17
7	63	17
8	70	17
9	73	17
10	74	17
11	54	17

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	26	17
4	32	17
5	40	17
6	49	17
7	63	17
8	70	17
9	73	17
10	74	17
11	54	17

Details

analyze368.0ms (2.5%)

sample52.0ms (0.4%)

simplify10.0ms (0.1%)

prune4.0ms (0%)

localize34.0ms (0.2%)

rewrite258.0ms (1.8%)

series108.0ms (0.7%)

simplify165.0ms (1.1%)

prune173.0ms (1.2%)

localize38.0ms (0.3%)

rewrite524.0ms (3.6%)

series150.0ms (1%)

simplify142.0ms (1%)

prune232.0ms (1.6%)

localize38.0ms (0.3%)

rewrite312.0ms (2.1%)

series151.0ms (1%)

simplify171.0ms (1.2%)

prune238.0ms (1.6%)

localize43.0ms (0.3%)

rewrite326.0ms (2.2%)

series166.0ms (1.1%)

simplify118.0ms (0.8%)

prune170.0ms (1.2%)

regimes8.4s (56.9%)

simplify4.0ms (0%)

end2.0ms (0%)

sample2.3s (15.9%)

Profiling

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	26	17
4	32	17
5	40	17
6	49	17
7	63	17
8	70	17
9	73	17
10	74	17
11	54	17