Details

analyze1.0s (7.5%)

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)

sample57.0ms (0.4%)

Algorithm

1×

intervals

Results

25.0ms	256×	body	128	valid
9.0ms	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`
4×	`*-commutative_binary32`
4×	`div-sub_binary32`
3×	`associate-+l-_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

prune2.0ms (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)

localize37.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite210.0ms (1.5%)

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:

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

Compiler

Compiled 1897 to 1354 computations (28.6% saved)

series86.0ms (0.6%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

33.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
11.0ms	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))
8.0ms	(*.f32 3537118876014453/562949953421312 u2)
7.0ms	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 923 to 725 computations (21.5% saved)

simplify128.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

846×	`div-sub_binary32`
440×	`associate-/l/_binary32`
377×	`associate-l_binary32`
333×	`associate-/r/_binary32`
272×	`associate-r_binary32`

Counts

135 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	210	2167
1	419	2022
2	1067	2000
3	2483	1994
4	4784	1994
5	6623	1994

prune144.0ms (1%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	60	14	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	61	14	75

Error

0.0b

Counts

75 → 14

Alt Table

Status	Error	Program
	0.5b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
	0.7b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.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)))
	1.6b	(.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))))))
	0.7b	(.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)))
	0.9b	(.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))))))
▶	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)))))
	0.7b	(.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))))))
	0.7b	(.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))))))
	1.3b	(.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))))))
	19.8b	(log.f32 (exp.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.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)))))
	0.8b	(.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))))))
	0.8b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))

Compiler

Compiled 1860 to 1347 computations (27.6% saved)

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite263.0ms (1.9%)

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:

12.0ms	(.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)))))
7.0ms	(.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))
4.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(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)

series123.0ms (0.9%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

48.0ms	(.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)))))
18.0ms	(sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312))))
13.0ms	(.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))
10.0ms	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 1273 to 1074 computations (15.6% saved)

simplify113.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

449×	`associate-/l/_binary32`
422×	`cancel-sign-sub-inv_binary32`
385×	`*-commutative_binary32`
227×	`distribute-rgt-neg-in_binary32`
203×	`distribute-lft-neg-in_binary32`

Counts

139 → 107

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	228	3255
1	488	2141
2	1385	2119
3	2635	2113
4	4998	2113

prune176.0ms (1.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	101	6	107
Fresh	8	5	13
Picked	0	1	1
Done	0	0	0
Total	109	12	121

Error

0.0b

Counts

121 → 12

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)) (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))
	1.5b	(.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)))))
	1.3b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)))) (sqrt.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 u1 (-.f32 (.f32 1 1) (.f32 u1 u1)))) (.f32 (sin.f32 (*.f32 u2 3537118876014453/562949953421312)) (sqrt.f32 (+.f32 u1 1))))
▶	0.5b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
	1.3b	(.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)))
	0.8b	(.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 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312))))))
	19.8b	(log.f32 (exp.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
✓	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)))))
	0.8b	(.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))))))
	0.8b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))

Compiler

Compiled 2160 to 1633 computations (24.4% saved)

localize57.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite343.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

105×	`add-sqr-sqrt_binary32`
87×	`*-un-lft-identity_binary32`
76×	`times-frac_binary32`
48×	`sqrt-prod_binary32`
48×	`add-cube-cbrt_binary32`

Counts

4 → 172

Calls

4 calls:

15.0ms	(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
12.0ms	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
8.0ms	(.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))
5.0ms	(/.f32 (sqrt.f32 u1) (-.f32 1 u1))

Compiler

Compiled 4352 to 3030 computations (30.4% saved)

series116.0ms (0.8%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

58.0ms	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
15.0ms	(.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))
12.0ms	(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
10.0ms	(/.f32 (sqrt.f32 u1) (-.f32 1 u1))

Compiler

Compiled 1204 to 998 computations (17.1% saved)

simplify165.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

939×	`div-sub_binary32`
484×	`associate-/l*_binary32`
373×	`times-frac_binary32`
279×	`associate-*l/_binary32`
251×	`associate-l_binary32`

Counts

193 → 157

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	247	3830
1	560	2981
2	1799	2931
3	4111	2931
4	4608	2887
5	6285	2887

prune188.0ms (1.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	157	12	169

Error

0.0b

Counts

169 → 12

Alt Table

Status	Error	Program
▶	0.6b	(.f32 (sqrt.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)) (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))
	1.5b	(.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)))))
	1.3b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)))) (sqrt.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 u1 (-.f32 (.f32 1 1) (.f32 u1 u1)))) (.f32 (sin.f32 (*.f32 u2 3537118876014453/562949953421312)) (sqrt.f32 (+.f32 u1 1))))
✓	0.5b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
	1.3b	(.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)))
	0.8b	(.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 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312))))))
	19.8b	(log.f32 (exp.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
✓	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)))))
	0.8b	(.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))))))
	0.8b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))

Compiler

Compiled 2875 to 2111 computations (26.6% saved)

localize59.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

rewrite467.0ms (3.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

76×	`add-sqr-sqrt_binary32`
62×	`*-un-lft-identity_binary32`
51×	`sqrt-prod_binary32`
51×	`cbrt-prod_binary32`
49×	`associate-r_binary32`

Counts

4 → 168

Calls

4 calls:

25.0ms	(.f32 (sqrt.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)) (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))
12.0ms	(.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)) (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1)))))
11.0ms	(*.f32 u2 3537118876014453/562949953421312)
11.0ms	(*.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1)))

Compiler

Compiled 5252 to 4158 computations (20.8% saved)

series183.0ms (1.3%)

Error

0.0b

Counts

4 → 31

Calls

4 calls:

64.0ms	(.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)) (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1)))))
34.0ms	(.f32 (sqrt.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)) (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))
32.0ms	(*.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1)))
14.0ms	(*.f32 u2 3537118876014453/562949953421312)

Compiler

Compiled 2098 to 1710 computations (18.5% saved)

simplify226.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

358×	`associate-r_binary32`
336×	`associate-l_binary32`
252×	`cancel-sign-sub-inv_binary32`
219×	`times-frac_binary32`
210×	`sub-neg_binary32`

Counts

199 → 167

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	338	4827
1	706	4395
2	2127	4184
3	3985	4153
4	4824	4041
5	4977	4041
6	4882	4041

prune309.0ms (2.3%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	166	1	167
Fresh	1	8	9
Picked	1	0	1
Done	0	2	2
Total	168	11	179

Error

0.0b

Counts

179 → 11

Alt Table

Status	Error	Program
	0.6b	(.f32 (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)))) (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1)))))
	1.3b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)))) (sqrt.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312))))))
	1.5b	(.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)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (.f32 1 1) (.f32 u1 u1)))) (.f32 (sin.f32 (*.f32 u2 3537118876014453/562949953421312)) (sqrt.f32 (+.f32 u1 1))))
	0.5b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
	1.3b	(.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))))))
	0.8b	(.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 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312))))))
	19.8b	(log.f32 (exp.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	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)))))
	0.8b	(.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))))))
	0.8b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))

Compiler

Compiled 4177 to 3286 computations (21.3% saved)

regimes6.9s (50.4%)

Accuracy

Total 0.4b remaining (85.2%)

Threshold costs 0.4b (85.2%)

Compiler

Compiled 77952 to 62162 computations (20.3% saved)

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary32`
2×	`+-commutative_binary32`
2×	`sub-neg_binary32`
1×	`*-lft-identity_binary32`
1×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	29
1	23	29
2	27	29
3	29	29
4	30	29
5	29	29

end1.0ms (0%)

Compiler: Compiled 21 to 18 computations (14.3% saved)

sample2.3s (16.5%)

Algorithm

1×

intervals

Results

871.0ms	8000×	body	128	valid
271.0ms	8000×	pre	128	true
0.0ms	7×	pre	128	false

Compiler

Compiled 339 to 271 computations (20.1% 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

analyze1.0s (7.5%)

sample57.0ms (0.4%)

simplify11.0ms (0.1%)

prune2.0ms (0%)

localize37.0ms (0.3%)

rewrite210.0ms (1.5%)

series86.0ms (0.6%)

simplify128.0ms (0.9%)

prune144.0ms (1%)

localize48.0ms (0.4%)

rewrite263.0ms (1.9%)

series123.0ms (0.9%)

simplify113.0ms (0.8%)

prune176.0ms (1.3%)

localize57.0ms (0.4%)

rewrite343.0ms (2.5%)

series116.0ms (0.8%)

simplify165.0ms (1.2%)

prune188.0ms (1.4%)

localize59.0ms (0.4%)

rewrite467.0ms (3.4%)

series183.0ms (1.3%)

simplify226.0ms (1.6%)

prune309.0ms (2.3%)

regimes6.9s (50.4%)

simplify5.0ms (0%)

end1.0ms (0%)

sample2.3s (16.5%)

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