Details

analyze339.0ms (2.3%)

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)

sample50.0ms (0.3%)

Algorithm

1×

intervals

Results

21.0ms	256×	body	128	valid
8.0ms	256×	pre	128	true
0.0ms	1×	pre	128	false

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

prune3.0ms (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)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite237.0ms (1.6%)

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:

17.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
6.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 3537118876014453/562949953421312 u2)
1.0ms	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))

Compiler

Compiled 1897 to 1354 computations (28.6% saved)

series101.0ms (0.7%)

Error

0.3b

Counts

4 → 24

Calls

4 calls:

39.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
15.0ms	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))
10.0ms	(/.f32 u1 (-.f32 1 u1))
9.0ms	(*.f32 3537118876014453/562949953421312 u2)

Compiler

Compiled 905 to 711 computations (21.4% saved)

simplify137.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

841×	`div-sub_binary32`
433×	`associate-/l/_binary32`
378×	`associate-l_binary32`
328×	`associate-/r/_binary32`
274×	`associate-r_binary32`

Counts

135 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	209	2167
1	417	2022
2	1064	2000
3	2479	1994
4	4778	1994
5	6605	1994

prune346.0ms (2.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	66	11	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	11	78

Error

0.0b

Counts

78 → 11

Alt Table

Status	Error	Program
	0.8b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.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)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))
	1.8b	(.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.7b	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.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)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (cbrt.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	4.6b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (sin.f32 (*.f32 3537118876014453/562949953421312 u2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (pow.f32 1 3) (pow.f32 u1 3)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 1 (+.f32 u1 (.f32 u1 u1))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))))

Compiler

Compiled 1719 to 1240 computations (27.9% saved)

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite267.0ms (1.9%)

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:

15.0ms	(.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)))
5.0ms	(/.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)

series136.0ms (0.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

52.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
19.0ms	(sin.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))
15.0ms	(.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))
13.0ms	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 1210 to 1015 computations (16.1% saved)

simplify136.0ms (0.9%)

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	2597	2067
4	4794	2067
5	5585	2067

prune198.0ms (1.4%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	102	4	106
Fresh	3	7	10
Picked	0	1	1
Done	0	0	0
Total	105	12	117

Error

0.0b

Counts

117 → 12

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.8b	(.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))))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))
	1.8b	(.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.7b	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.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)))))
	12.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)))))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 (sqrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (pow.f32 (sqrt.f32 3537118876014453/562949953421312) 3/2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (pow.f32 1 3) (pow.f32 u1 3)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 1 (+.f32 u1 (.f32 u1 u1))))))
	4.6b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (sin.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))))

Compiler

Compiled 2109 to 1581 computations (25% saved)

localize45.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(/.f32 u1 (-.f32 1 u1))
0.2b	(sin.f32 (.f32 (sqrt.f32 (sqrt.f32 3537118876014453/562949953421312)) (.f32 u2 (pow.f32 (sqrt.f32 3537118876014453/562949953421312) 3/2))))
0.2b	(.f32 (sqrt.f32 (sqrt.f32 3537118876014453/562949953421312)) (.f32 u2 (pow.f32 (sqrt.f32 3537118876014453/562949953421312) 3/2)))
0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 (sqrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (pow.f32 (sqrt.f32 3537118876014453/562949953421312) 3/2)))))

rewrite303.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

58×	`add-sqr-sqrt_binary32`
51×	`*-un-lft-identity_binary32`
37×	`times-frac_binary32`
36×	`associate-l_binary32`
35×	`sqrt-prod_binary32`

Counts

4 → 118

Calls

4 calls:

16.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 (sqrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (pow.f32 (sqrt.f32 3537118876014453/562949953421312) 3/2)))))
10.0ms	(.f32 (sqrt.f32 (sqrt.f32 3537118876014453/562949953421312)) (.f32 u2 (pow.f32 (sqrt.f32 3537118876014453/562949953421312) 3/2)))
6.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(sin.f32 (.f32 (sqrt.f32 (sqrt.f32 3537118876014453/562949953421312)) (.f32 u2 (pow.f32 (sqrt.f32 3537118876014453/562949953421312) 3/2))))

Compiler

Compiled 2858 to 2309 computations (19.2% saved)

series136.0ms (0.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

52.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 (sqrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (pow.f32 (sqrt.f32 3537118876014453/562949953421312) 3/2)))))
22.0ms	(sin.f32 (.f32 (sqrt.f32 (sqrt.f32 3537118876014453/562949953421312)) (.f32 u2 (pow.f32 (sqrt.f32 3537118876014453/562949953421312) 3/2))))
15.0ms	(.f32 (sqrt.f32 (sqrt.f32 3537118876014453/562949953421312)) (.f32 u2 (pow.f32 (sqrt.f32 3537118876014453/562949953421312) 3/2)))
13.0ms	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 1249 to 1054 computations (15.6% saved)

simplify149.0ms (1%)

Algorithm

1×	egg-herbie

Rules

496×	`div-sub_binary32`
459×	`*-commutative_binary32`
411×	`cancel-sign-sub-inv_binary32`
363×	`unswap-sqr_binary32`
253×	`distribute-rgt-neg-in_binary32`

Counts

142 → 110

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	239	3389
1	514	3001
2	1478	2931
3	2864	2151
4	4529	2148
5	5312	2148

prune177.0ms (1.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	109	13	122

Error

0.0b

Counts

122 → 13

Alt Table

Status	Error	Program
	0.8b	(.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 (sqrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (pow.f32 (sqrt.f32 3537118876014453/562949953421312) 3/2))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.8b	(.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))))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))
	1.8b	(.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.7b	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.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)))))
	12.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 (sqrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (pow.f32 (sqrt.f32 3537118876014453/562949953421312) 3/2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (pow.f32 1 3) (pow.f32 u1 3)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 1 (+.f32 u1 (.f32 u1 u1))))))
	4.6b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (sin.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))))

Compiler

Compiled 2281 to 1737 computations (23.8% saved)

localize38.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(/.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))))
0.2b	(.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))
0.4b	(.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)))))

rewrite308.0ms (2.1%)

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)))))
10.0ms	(.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))
5.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312))))

Compiler

Compiled 2788 to 2239 computations (19.7% saved)

series151.0ms (1%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

56.0ms	(.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)))))
21.0ms	(sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312))))
17.0ms	(.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))
15.0ms	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 1263 to 1065 computations (15.7% saved)

simplify112.0ms (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	2629	2113
4	4874	2113

prune156.0ms (1.1%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	107	13	120

Error

0.0b

Counts

120 → 13

Alt Table

Status	Error	Program
	0.8b	(.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 (sqrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (pow.f32 (sqrt.f32 3537118876014453/562949953421312) 3/2))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.8b	(.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))))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))
	1.8b	(.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.7b	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.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)))))
	12.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 (sqrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (pow.f32 (sqrt.f32 3537118876014453/562949953421312) 3/2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (pow.f32 1 3) (pow.f32 u1 3)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 1 (+.f32 u1 (.f32 u1 u1))))))
	4.6b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (sin.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))))

Compiler

Compiled 1869 to 1408 computations (24.7% saved)

regimes8.5s (58.9%)

Accuracy

Total 0.5b remaining (86.8%)

Threshold costs 0.5b (86.8%)

Compiler

Compiled 82965 to 66750 computations (19.5% 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	19	34
1	26	34
2	30	34
3	32	34
4	33	34
5	32	34

end2.0ms (0%)

Compiler: Compiled 24 to 21 computations (12.5% saved)

sample2.3s (16.2%)

Algorithm

1×

intervals

Results

826.0ms	8000×	body	128	valid
268.0ms	8000×	pre	128	true
0.0ms	5×	pre	128	false

Compiler

Compiled 386 to 308 computations (20.2% 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

analyze339.0ms (2.3%)

sample50.0ms (0.3%)

simplify10.0ms (0.1%)

prune3.0ms (0%)

localize27.0ms (0.2%)

rewrite237.0ms (1.6%)

series101.0ms (0.7%)

simplify137.0ms (0.9%)

prune346.0ms (2.4%)

localize33.0ms (0.2%)

rewrite267.0ms (1.9%)

series136.0ms (0.9%)

simplify136.0ms (0.9%)

prune198.0ms (1.4%)

localize45.0ms (0.3%)

rewrite303.0ms (2.1%)

series136.0ms (0.9%)

simplify149.0ms (1%)

prune177.0ms (1.2%)

localize38.0ms (0.3%)

rewrite308.0ms (2.1%)

series151.0ms (1%)

simplify112.0ms (0.8%)

prune156.0ms (1.1%)

regimes8.5s (58.9%)

simplify4.0ms (0%)

end2.0ms (0%)

sample2.3s (16.2%)

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