Details

analyze407.0ms (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)

sample54.0ms (0.3%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
8.0ms	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)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite195.0ms (1.1%)

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))
3.0ms	(*.f32 3537118876014453/562949953421312 u2)
1.0ms	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))

Compiler

Compiled 1897 to 1354 computations (28.6% saved)

series76.0ms (0.4%)

Error

0.3b

Counts

4 → 24

Calls

4 calls:

28.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
9.0ms	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))
8.0ms	(/.f32 u1 (-.f32 1 u1))
6.0ms	(*.f32 3537118876014453/562949953421312 u2)

Compiler

Compiled 923 to 725 computations (21.5% saved)

simplify137.0ms (0.8%)

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

prune125.0ms (0.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	62	12	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	63	12	75

Error

0.0b

Counts

75 → 12

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)))
	0.9b	(.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))))))
	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)))
	0.9b	(.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))))))
	0.7b	(.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))))))
	2.9b	(exp.f32 (log.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))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (.f32 1 1) (.f32 u1 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 u1 1))))
	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)))))
	1.7b	(.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 (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))))))

Compiler

Compiled 1740 to 1251 computations (28.1% saved)

localize45.0ms (0.3%)

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))
0.2b	(.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)))))

rewrite271.0ms (1.5%)

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:

11.0ms	(.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)))
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)

series125.0ms (0.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

47.0ms	(.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)))))
20.0ms	(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)))
9.0ms	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 1273 to 1074 computations (15.6% saved)

simplify104.0ms (0.6%)

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

prune158.0ms (0.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	103	4	107
Fresh	4	7	11
Picked	1	0	1
Done	0	0	0
Total	108	11	119

Error

0.0b

Counts

119 → 11

Alt Table

Status	Error	Program
	1.7b	(.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))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) 1)) (.f32 (sin.f32 (*.f32 u2 3537118876014453/562949953421312)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))))
	0.7b	(.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 (.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))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (.f32 1 1) (.f32 u1 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 u1 1))))
	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)))))
▶	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)))))
	4.3b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
	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)))
	0.6b	(.f32 (sqrt.f32 (.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
	0.7b	(.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))))))

Compiler

Compiled 2081 to 1555 computations (25.3% saved)

localize58.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.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))
0.3b	(.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)))))
0.4b	(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))

rewrite373.0ms (2.1%)

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

Compiler

Compiled 4352 to 3030 computations (30.4% saved)

series106.0ms (0.6%)

Error

0.0b

Counts

4 → 21

Calls

4 calls:

48.0ms	(.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)))))
14.0ms	(.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))
12.0ms	(/.f32 (sqrt.f32 u1) (-.f32 1 u1))
11.0ms	(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))

Compiler

Compiled 1204 to 998 computations (17.1% saved)

simplify169.0ms (0.9%)

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 → 158

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

prune179.0ms (1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	157	1	158
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	158	11	169

Error

0.0b

Counts

169 → 11

Alt Table

Status	Error	Program
	0.7b	(.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 (.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))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (.f32 1 1) (.f32 u1 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 u1 1))))
	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)))))
✓	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)))))
	4.3b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
▶	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)))
	1.7b	(.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))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
	0.7b	(.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 (sqrt.f32 u1)) (.f32 (sin.f32 (*.f32 u2 3537118876014453/562949953421312)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))))

Compiler

Compiled 2792 to 2029 computations (27.3% saved)

localize52.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite907.0ms (5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 594

Calls

4 calls:

56.0ms	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
14.0ms	(/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))
4.0ms	(/.f32 u1 (+.f32 1 (sqrt.f32 u1)))
3.0ms	(*.f32 3537118876014453/562949953421312 u2)

Compiler

Compiled 11067 to 7331 computations (33.8% saved)

series101.0ms (0.6%)

Error

0.0b

Counts

4 → 18

Calls

4 calls:

52.0ms	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
15.0ms	(/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))
10.0ms	(/.f32 u1 (+.f32 1 (sqrt.f32 u1)))
8.0ms	(*.f32 3537118876014453/562949953421312 u2)

Compiler

Compiled 1065 to 810 computations (23.9% saved)

simplify512.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

506×	`associate-*l/_binary32`
455×	`associate-/r/_binary32`
335×	`associate-*r/_binary32`
238×	`associate-/l/_binary32`
223×	`div-sub_binary32`

Counts

612 → 568

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	431	18756
1	921	18524
2	2409	18428
3	4497	18428
4	5035	18428

prune570.0ms (3.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	565	3	568
Fresh	4	5	9
Picked	0	1	1
Done	0	1	1
Total	569	10	579

Error

0.0b

Counts

579 → 10

Alt Table

Status	Error	Program
	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)))
	0.6b	(/.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))))) (sqrt.f32 (-.f32 (sqrt.f32 1) (sqrt.f32 u1))))
	0.7b	(.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 (.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))))))
	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)))))
	4.3b	(.f32 (sqrt.f32 (+.f32 u1 (.f32 u1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
	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)))
	0.8b	(.f32 (sqrt.f32 (/.f32 (/.f32 1 (.f32 (cbrt.f32 (+.f32 1 (sqrt.f32 u1))) (cbrt.f32 (+.f32 1 (sqrt.f32 u1))))) 1)) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (/.f32 u1 (cbrt.f32 (+.f32 1 (sqrt.f32 u1)))) (-.f32 1 (sqrt.f32 u1))))))
	0.7b	(.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))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 u1 (+.f32 (sqrt.f32 1) (sqrt.f32 (sqrt.f32 u1))))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))) (-.f32 1 (sqrt.f32 (sqrt.f32 u1)))))))

Compiler

Compiled 7824 to 5110 computations (34.7% saved)

regimes11.0s (61.2%)

Accuracy

Total 0.4b remaining (83.6%)

Threshold costs 0.4b (83.6%)

Compiler

Compiled 111846 to 87891 computations (21.4% saved)

simplify4.0ms (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	16	29
1	24	29
2	28	29
3	30	29
4	31	29
5	29	29

end4.0ms (0%)

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

sample2.2s (12.3%)

Algorithm

1×

intervals

Results

846.0ms	8000×	body	128	valid
305.0ms	8000×	pre	128	true
0.0ms	5×	pre	128	false

Compiler

Compiled 319 to 244 computations (23.5% 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

analyze407.0ms (2.3%)

sample54.0ms (0.3%)

simplify11.0ms (0.1%)

prune2.0ms (0%)

localize31.0ms (0.2%)

rewrite195.0ms (1.1%)

series76.0ms (0.4%)

simplify137.0ms (0.8%)

prune125.0ms (0.7%)

localize45.0ms (0.3%)

rewrite271.0ms (1.5%)

series125.0ms (0.7%)

simplify104.0ms (0.6%)

prune158.0ms (0.9%)

localize58.0ms (0.3%)

rewrite373.0ms (2.1%)

series106.0ms (0.6%)

simplify169.0ms (0.9%)

prune179.0ms (1%)

localize52.0ms (0.3%)

rewrite907.0ms (5%)

series101.0ms (0.6%)

simplify512.0ms (2.8%)

prune570.0ms (3.2%)

regimes11.0s (61.2%)

simplify4.0ms (0%)

end4.0ms (0%)

sample2.2s (12.3%)

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