Details

analyze324.0ms (2.8%)

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)

sample47.0ms (0.4%)

Algorithm

1×

intervals

Results

19.0ms	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

0.4b

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)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite243.0ms (2.1%)

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 → 111

Calls

4 calls:

16.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
6.0ms	(/.f32 u1 (-.f32 1 u1))
4.0ms	(*.f32 3537118876014453/562949953421312 u2)
1.0ms	(cos.f32 (*.f32 3537118876014453/562949953421312 u2))

Compiler

Compiled 1897 to 1354 computations (28.6% saved)

series99.0ms (0.9%)

Error

0.2b

Counts

4 → 24

Calls

4 calls:

37.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))
12.0ms	(cos.f32 (*.f32 3537118876014453/562949953421312 u2))
10.0ms	(/.f32 u1 (-.f32 1 u1))
9.0ms	(*.f32 3537118876014453/562949953421312 u2)

Compiler

Compiled 875 to 693 computations (20.8% saved)

simplify131.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

522×	`cancel-sign-sub-inv_binary32`
441×	`associate-/l/_binary32`
351×	`associate-l_binary32`
258×	`associate-r_binary32`
179×	`distribute-rgt-in_binary32`

Counts

135 → 74

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	207	2131
1	407	1995
2	1012	1973
3	2393	1967
4	4982	1967
5	4918	1967

prune145.0ms (1.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	65	9	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	9	75

Error

0.1b

Counts

75 → 9

Alt Table

Status	Error	Program
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
	0.5b	(.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))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (cos.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (cos.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	0.4b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 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))))))
	0.4b	(.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 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (cos.f32 (.f32 3537118876014453/562949953421312 u2)))

Compiler

Compiled 1515 to 1084 computations (28.4% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(cos.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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.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)))

rewrite308.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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))) (cos.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)))
8.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(cos.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)

series137.0ms (1.2%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

52.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
21.0ms	(cos.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312))))
18.0ms	(.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))
13.0ms	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 1153 to 974 computations (15.5% saved)

simplify165.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

442×	`associate-/l/_binary32`
417×	`cancel-sign-sub-inv_binary32`
340×	`*-commutative_binary32`
201×	`distribute-rgt-neg-in_binary32`
176×	`distribute-lft-neg-in_binary32`

Counts

139 → 105

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	225	3139
1	476	2034
2	1291	2012
3	2457	2006
4	4883	2006
5	4999	2006
6	4878	2006

prune154.0ms (1.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	104	1	105
Fresh	1	7	8
Picked	0	1	1
Done	0	0	0
Total	105	9	114

Error

0.1b

Counts

114 → 9

Alt Table

Status	Error	Program
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
	0.5b	(.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))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (cos.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (cos.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	0.4b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 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))))))
	0.5b	(.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 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.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))))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))

Compiler

Compiled 1899 to 1425 computations (25% saved)

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(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 (/.f32 u1 (-.f32 1 u1))) (cos.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)))

rewrite279.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

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:

14.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (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)))
5.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))

Compiler

Compiled 2410 to 1871 computations (22.4% saved)

series130.0ms (1.1%)

Error

0.1b

Counts

4 → 24

Calls

4 calls:

47.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312)))))
18.0ms	(cos.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)))
14.0ms	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 1128 to 946 computations (16.1% saved)

simplify137.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

449×	`associate-/l/_binary32`
386×	`cancel-sign-sub-inv_binary32`
306×	`*-commutative_binary32`
208×	`distribute-rgt-neg-in_binary32`
189×	`unswap-sqr_binary32`

Counts

138 → 104

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	222	2708
1	470	2044
2	1234	2006
3	2370	1992
4	4990	1992
5	4877	1992

prune199.0ms (1.7%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	0	7	7
Picked	1	0	1
Done	0	1	1
Total	103	10	113

Error

0.1b

Counts

113 → 10

Alt Table

Status	Error	Program
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
	0.5b	(.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))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (cos.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))))
	2.2b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 u2 3537118876014453/562949953421312)))) (sqrt.f32 (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (cos.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 u2 3537118876014453/562949953421312))) (cbrt.f32 (cos.f32 (.f32 u2 3537118876014453/562949953421312))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))))
▶	0.4b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 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))))))
	0.5b	(.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 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.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))))))

Compiler

Compiled 1981 to 1481 computations (25.2% saved)

localize36.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite366.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

109×	`add-sqr-sqrt_binary32`
89×	`*-un-lft-identity_binary32`
76×	`times-frac_binary32`
50×	`add-cube-cbrt_binary32`
48×	`sqrt-prod_binary32` `associate-r_binary32`

Counts

4 → 168

Calls

4 calls:

19.0ms	(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
13.0ms	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (cos.f32 (*.f32 3537118876014453/562949953421312 u2)))
7.0ms	(/.f32 (sqrt.f32 u1) (-.f32 1 u1))
4.0ms	(*.f32 3537118876014453/562949953421312 u2)

Compiler

Compiled 3250 to 1940 computations (40.3% saved)

series93.0ms (0.8%)

Error

0.1b

Counts

4 → 21

Calls

4 calls:

42.0ms	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (cos.f32 (*.f32 3537118876014453/562949953421312 u2)))
15.0ms	(*.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))
12.0ms	(/.f32 (sqrt.f32 u1) (-.f32 1 u1))
10.0ms	(*.f32 3537118876014453/562949953421312 u2)

Compiler

Compiled 883 to 685 computations (22.4% saved)

simplify205.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

958×	`div-sub_binary32`
483×	`associate-/l*_binary32`
373×	`times-frac_binary32`
318×	`unswap-sqr_binary32`
279×	`associate-*l/_binary32`

Counts

189 → 138

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	227	3174
1	486	2895
2	1452	2845
3	3595	2845
4	4615	2801
5	4599	2801
6	6322	2801

prune181.0ms (1.6%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	138	10	148

Error

0.1b

Counts

148 → 10

Alt Table

Status	Error	Program
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.f32 3537118876014453/562949953421312)))))
	0.5b	(.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))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (cos.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))))
	2.2b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 u2 3537118876014453/562949953421312)))) (sqrt.f32 (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (cos.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	0.5b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 u2 3537118876014453/562949953421312))) (cbrt.f32 (cos.f32 (.f32 u2 3537118876014453/562949953421312))))) (cbrt.f32 (cos.f32 (.f32 (sqrt.f32 3537118876014453/562949953421312) (*.f32 u2 (sqrt.f32 3537118876014453/562949953421312))))))
	0.4b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 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))))))
	0.5b	(.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 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 u2 (cbrt.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))))))

Compiler

Compiled 1950 to 1302 computations (33.2% saved)

regimes6.2s (53.1%)

Accuracy

Total 0.3b remaining (78.8%)

Threshold costs 0.3b (78.8%)

Compiler

Compiled 60512 to 47001 computations (22.3% 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	29
1	21	29
2	25	29
3	27	29
4	28	29
5	27	29

end4.0ms (0%)

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

sample1.9s (16.8%)

Algorithm

1×

intervals

Results

570.0ms	8000×	body	128	valid
258.0ms	8000×	pre	128	true
0.0ms	5×	pre	128	false

Compiler

Compiled 307 to 246 computations (19.9% 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

analyze324.0ms (2.8%)

sample47.0ms (0.4%)

simplify10.0ms (0.1%)

prune3.0ms (0%)

localize26.0ms (0.2%)

rewrite243.0ms (2.1%)

series99.0ms (0.9%)

simplify131.0ms (1.1%)

prune145.0ms (1.2%)

localize39.0ms (0.3%)

rewrite308.0ms (2.6%)

series137.0ms (1.2%)

simplify165.0ms (1.4%)

prune154.0ms (1.3%)

localize34.0ms (0.3%)

rewrite279.0ms (2.4%)

series130.0ms (1.1%)

simplify137.0ms (1.2%)

prune199.0ms (1.7%)

localize36.0ms (0.3%)

rewrite366.0ms (3.2%)

series93.0ms (0.8%)

simplify205.0ms (1.8%)

prune181.0ms (1.6%)

regimes6.2s (53.1%)

simplify4.0ms (0%)

end4.0ms (0%)

sample1.9s (16.8%)

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