Details

analyze393.0ms (4.2%)

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)

sample55.0ms (0.6%)

Algorithm

1×

intervals

Results

26.0ms	256×	body	128	valid
8.0ms	256×	pre	128	true

Compiler

Compiled 46 to 36 computations (21.7% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary32`
7×	`+-commutative_binary32`
6×	`fma-def_binary32`
4×	`*-commutative_binary32`
4×	`div-sub_binary32`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

0.5b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize29.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

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 → 119

Calls

4 calls:

10.0ms	(.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))

series48.0ms (0.5%)

Counts

4 → 36

Calls

4 calls:

39.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
5.0ms	(*.f32 3537118876014453/562949953421312 u2)
2.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))

simplify123.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

484×	`fma-def_binary32`
448×	`associate-r_binary32`
378×	`associate-/r*_binary32`
357×	`times-frac_binary32`
251×	`fma-neg_binary32`

Counts

155 → 246

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	2890
1	567	2713
2	1678	2603
3	4722	2603
4	5070	2603

prune228.0ms (2.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	235	11	246
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	236	11	247

Error

0.1b

Counts

247 → 11

Alt Table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 (cbrt.f32 3537118876014453/562949953421312) u2))))
	0.9b	(.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 3537118876014453/562949953421312 u2))))
	1.0b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (.f32 3537118876014453/562949953421312 u2))))
	1.0b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 (.f32 3537118876014453/562949953421312 u2)) (cbrt.f32 (.f32 3537118876014453/562949953421312 u2))) (cbrt.f32 (.f32 3537118876014453/562949953421312 u2)))))
	1.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (.f32 3537118876014453/562949953421312 u2)))))
	1.8b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 3537118876014453/562949953421312 u2)))))
	0.6b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sin.f32 (.f32 3537118876014453/562949953421312 u2))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))))
	1.4b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.f32 1 u1))))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
	1.8b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)))) (sqrt.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (.f32 1 1) (.f32 u1 u1)))) (.f32 (sqrt.f32 (+.f32 1 u1)) (sin.f32 (*.f32 3537118876014453/562949953421312 u2))))

Compiler

Compiled 4436 to 3281 computations (26% saved)

localize43.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite28.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary32`
28×	`associate-l_binary32`
26×	`sqrt-prod_binary32`
24×	`*-un-lft-identity_binary32`
19×	`times-frac_binary32`

Counts

3 → 80

Calls

3 calls:

13.0ms

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

7.0ms

(*.f32 (*.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 (cbrt.f32 3537118876014453/562949953421312) u2))

2.0ms

(sin.f32 (*.f32 (*.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 (cbrt.f32 3537118876014453/562949953421312) u2)))

series94.0ms (1%)

Counts

3 → 44

Calls

3 calls:

56.0ms

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

30.0ms

(*.f32 (*.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 (cbrt.f32 3537118876014453/562949953421312) u2))

7.0ms

(sin.f32 (*.f32 (*.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 (cbrt.f32 3537118876014453/562949953421312) u2)))

simplify110.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

618×	`fma-neg_binary32`
477×	`fma-def_binary32`
434×	`*-commutative_binary32`
299×	`associate-/r*_binary32`
257×	`sub-neg_binary32`

Counts

124 → 240

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	222	2360
1	503	2202
2	1577	2090
3	4141	2090
4	5009	2090

prune280.0ms (3%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	322	4	326
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	327	10	337

Error

0.1b

Counts

337 → 10

Alt Table

Status	Error	Program
	0.5b	(.f32 (sqrt.f32 (.f32 u1 (/.f32 1 (-.f32 1 u1)))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 (cbrt.f32 3537118876014453/562949953421312) u2))))
	1.4b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.f32 1 u1))))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (.f32 u2 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312))))))
	0.9b	(.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 3537118876014453/562949953421312 u2))))
	0.6b	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 (cbrt.f32 3537118876014453/562949953421312) u2)))) (sqrt.f32 (-.f32 1 u1)))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (.f32 1 1) (.f32 u1 u1)))) (.f32 (sqrt.f32 (+.f32 1 u1)) (sin.f32 (*.f32 3537118876014453/562949953421312 u2))))
	1.8b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 3537118876014453/562949953421312 u2)))))
	0.6b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sin.f32 (.f32 3537118876014453/562949953421312 u2))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 (cbrt.f32 3537118876014453/562949953421312) u2)))))
	1.0b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (.f32 3537118876014453/562949953421312 u2))))

Compiler

Compiled 6061 to 4842 computations (20.1% saved)

localize43.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-l_binary32`
33×	`add-sqr-sqrt_binary32`
26×	`sqrt-prod_binary32`
26×	`*-un-lft-identity_binary32`
19×	`times-frac_binary32`

Counts

3 → 82

Calls

3 calls:

13.0ms

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

8.0ms

(*.f32 (cbrt.f32 3537118876014453/562949953421312) (*.f32 u2 (*.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312))))

2.0ms

(sin.f32 (*.f32 (cbrt.f32 3537118876014453/562949953421312) (*.f32 u2 (*.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)))))

series92.0ms (1%)

Counts

3 → 44

Calls

3 calls:

55.0ms

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

29.0ms

(*.f32 (cbrt.f32 3537118876014453/562949953421312) (*.f32 u2 (*.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312))))

7.0ms

(sin.f32 (*.f32 (cbrt.f32 3537118876014453/562949953421312) (*.f32 u2 (*.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)))))

simplify116.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

578×	`fma-neg_binary32`
443×	`fma-def_binary32`
422×	`*-commutative_binary32`
299×	`associate-/r*_binary32`
257×	`sub-neg_binary32`

Counts

126 → 244

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	228	3380
1	519	2259
2	1567	2147
3	4108	2147
4	4950	2147

prune272.0ms (2.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	413	3	416
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	416	10	426

Error

0.0b

Counts

426 → 10

Alt Table

Status	Error	Program
	1.8b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 3537118876014453/562949953421312 u2)))))
	3.4b	(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (sin.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (.f32 u2 (*.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312))))))))
▶	0.5b	(.f32 (sqrt.f32 (.f32 u1 (/.f32 1 (-.f32 1 u1)))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 (cbrt.f32 3537118876014453/562949953421312) u2))))
	1.4b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.f32 1 u1))))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
	0.6b	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (.f32 u2 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)))))) (sqrt.f32 (-.f32 1 u1)))
	0.6b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sin.f32 (.f32 3537118876014453/562949953421312 u2))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 (cbrt.f32 3537118876014453/562949953421312) u2)))))
	0.9b	(.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 3537118876014453/562949953421312 u2))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (.f32 1 1) (.f32 u1 u1)))) (.f32 (sqrt.f32 (+.f32 1 u1)) (sin.f32 (*.f32 3537118876014453/562949953421312 u2))))
	1.7b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)))) (sqrt.f32 (sin.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (.f32 u2 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)))))))

Compiler

Compiled 6222 to 4990 computations (19.8% saved)

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 (cbrt.f32 3537118876014453/562949953421312) u2)))
	0.3b	(.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 (cbrt.f32 3537118876014453/562949953421312) u2))
✓	0.3b	(*.f32 u1 (/.f32 1 (-.f32 1 u1)))
✓	0.3b	(.f32 (sqrt.f32 (.f32 u1 (/.f32 1 (-.f32 1 u1)))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 (cbrt.f32 3537118876014453/562949953421312) u2))))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary32`
27×	`associate-r_binary32`
25×	`*-un-lft-identity_binary32`
20×	`times-frac_binary32`
15×	`add-cube-cbrt_binary32`

Counts

2 → 72

Calls

2 calls:

12.0ms

(*.f32 u1 (/.f32 1 (-.f32 1 u1)))

10.0ms

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

series58.0ms (0.6%)

Counts

2 → 32

Calls

2 calls:

56.0ms

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

2.0ms

(*.f32 u1 (/.f32 1 (-.f32 1 u1)))

simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Rules

544×	`fma-neg_binary32`
485×	`fma-def_binary32`
327×	`associate-/r*_binary32`
251×	`times-frac_binary32`
180×	`associate-/l*_binary32`

Counts

104 → 195

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	204	2012
1	499	1837
2	1625	1749
3	4438	1749
4	5033	1749

prune254.0ms (2.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	303	1	304
Fresh	2	7	9
Picked	0	1	1
Done	0	0	0
Total	305	9	314

Error

0.0b

Counts

314 → 9

Alt Table

Status	Error	Program
	1.8b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 3537118876014453/562949953421312 u2)))))
	3.4b	(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (sin.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (.f32 u2 (*.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312))))))))
	0.6b	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (.f32 u2 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)))))) (sqrt.f32 (-.f32 1 u1)))
	0.6b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sin.f32 (.f32 3537118876014453/562949953421312 u2))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))))
✓	0.5b	(.f32 (sqrt.f32 (.f32 u1 (/.f32 1 (-.f32 1 u1)))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (*.f32 (cbrt.f32 3537118876014453/562949953421312) u2))))
	0.9b	(.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 3537118876014453/562949953421312 u2))))
	1.4b	(.f32 (sqrt.f32 (exp.f32 (+.f32 (log.f32 u1) (log.f32 (/.f32 1 (-.f32 1 u1)))))) (sin.f32 (.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)) (.f32 (cbrt.f32 3537118876014453/562949953421312) u2))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (.f32 1 1) (.f32 u1 u1)))) (.f32 (sqrt.f32 (+.f32 1 u1)) (sin.f32 (*.f32 3537118876014453/562949953421312 u2))))
	1.7b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (sin.f32 (.f32 u2 3537118876014453/562949953421312)))) (sqrt.f32 (sin.f32 (.f32 (cbrt.f32 3537118876014453/562949953421312) (.f32 u2 (.f32 (cbrt.f32 3537118876014453/562949953421312) (cbrt.f32 3537118876014453/562949953421312)))))))

Compiler

Compiled 5709 to 4759 computations (16.6% saved)

regimes4.9s (52.5%)

Accuracy

Total 0.5b remaining (84.9%)

Threshold costs 0.5b (84.9%)

Compiler

Compiled 88810 to 72230 computations (18.7% saved)

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	32
1	23	32
2	27	32
3	29	32
4	30	32
5	29	32

end1.0ms (0%)

Compiler: Compiled 23 to 20 computations (13% saved)

sample1.9s (20.4%)

Algorithm

1×

intervals

Results

835.0ms	8000×	body	128	valid
270.0ms	8000×	pre	128	true
0.0ms	1×	pre	128	false

Compiler

Compiled 295 to 244 computations (17.3% saved)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

Details

analyze393.0ms (4.2%)

sample55.0ms (0.6%)

simplify12.0ms (0.1%)

prune2.0ms (0%)

localize29.0ms (0.3%)

rewrite26.0ms (0.3%)

series48.0ms (0.5%)

simplify123.0ms (1.3%)

prune228.0ms (2.5%)

localize43.0ms (0.5%)

rewrite28.0ms (0.3%)

series94.0ms (1%)

simplify110.0ms (1.2%)

prune280.0ms (3%)

localize43.0ms (0.5%)

rewrite30.0ms (0.3%)

series92.0ms (1%)

simplify116.0ms (1.3%)

prune272.0ms (2.9%)

localize48.0ms (0.5%)

rewrite26.0ms (0.3%)

series58.0ms (0.6%)

simplify95.0ms (1%)

prune254.0ms (2.7%)

regimes4.9s (52.5%)

simplify4.0ms (0%)

end1.0ms (0%)

sample1.9s (20.4%)

Profiling

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17