Details

analyze1.6s (12.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
6.2%	93.6%	0.1%	7
9.4%	90.5%	0.1%	8
14%	85.8%	0.1%	9
19.5%	80.4%	0.1%	10
20.7%	79.2%	0.1%	11
22%	77.8%	0.1%	12
23.5%	76.4%	0.1%	13
23.8%	76%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample125.0ms (0.9%)

Algorithm

1×

intervals

Results

68.0ms	115×	body	1024	valid
12.0ms	45×	body	512	valid
7.0ms	72×	body	128	valid
5.0ms	4×	body	2048	valid
4.0ms	20×	body	256	valid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`+-commutative_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	13	14
2	16	14
3	20	14
4	21	14
5	21	14

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

15.6b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	15.6b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))

Compiler

Compiled 45 to 28 computations (37.8% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(sin.f64 b)
✓	0.2b	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
✓	0.2b	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
✓	3.3b	(cos.f64 (+.f64 a b))

series91.0ms (0.7%)

Counts

4 → 56

Calls

4 calls:

53.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
32.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
4.0ms	(cos.f64 (+.f64 a b))
2.0ms	(sin.f64 b)

rewrite18.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-sqr-sqrt_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`
19×	`times-frac_binary64`
13×	`associate-r_binary64`

Counts

4 → 82

Calls

4 calls:

6.0ms	(*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))
4.0ms	(/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))
3.0ms	(cos.f64 (+.f64 a b))
1.0ms	(sin.f64 b)

simplify100.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

757×	`fma-def_binary64`
561×	`associate-/r*_binary64`
281×	`associate-/r/_binary64`
239×	`associate-/l/_binary64`
206×	`associate-r_binary64`

Counts

138 → 189

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	2895
1	667	2747
2	2416	2681
3	4988	2681
4	5029	2681

prune176.0ms (1.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	181	8	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	182	8	190

Error

0.1b

Counts

190 → 8

Alt Table

Status	Error	Program
	29.3b	(*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))))
	16.3b	(.f64 (.f64 r (*.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (/.f64 (cbrt.f64 (sin.f64 b)) (cos.f64 (+.f64 a b))))
	42.6b	(.f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	16.2b	(.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (*.f64 (cbrt.f64 r) (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))))
	39.0b	(cbrt.f64 (.f64 (.f64 (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b)))) (.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))) (*.f64 r (/.f64 (sin.f64 b) (cos.f64 (+.f64 a b))))))
	15.6b	(/.f64 (*.f64 (sin.f64 b) r) (cos.f64 (+.f64 a b)))
	15.6b	(*.f64 r (/.f64 (expm1.f64 (log1p.f64 (sin.f64 b))) (cos.f64 (+.f64 a b))))
▶	0.3b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))

Compiler

Compiled 4136 to 1347 computations (67.4% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
✓	0.2b	(*.f64 (sin.f64 a) (sin.f64 b))
✓	0.2b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
✓	0.2b	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))

series212.0ms (1.6%)

Counts

4 → 80

Calls

4 calls:

118.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
65.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
15.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
14.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

rewrite34.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`add-sqr-sqrt_binary64`
22×	`*-un-lft-identity_binary64`
22×	`add-cube-cbrt_binary64`
20×	`associate-r_binary64`
19×	`times-frac_binary64`

Counts

4 → 110

Calls

4 calls:

9.0ms	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))
8.0ms	(/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
4.0ms	(-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))
4.0ms	(*.f64 (sin.f64 a) (sin.f64 b))

simplify153.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

386×	`fma-neg_binary64`
323×	`cancel-sign-sub-inv_binary64`
290×	`associate-r_binary64`
268×	`associate-l_binary64`
198×	`distribute-rgt-neg-in_binary64`

Counts

190 → 216

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	331	5599
1	871	5281
2	3258	5029
3	4530	5023
4	4971	5023

prune212.0ms (1.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	207	9	216
Fresh	6	1	7
Picked	1	0	1
Done	0	0	0
Total	214	10	224

Error

0.0b

Counts

224 → 10

Alt Table

Status	Error	Program
	35.1b	(.f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))
	0.5b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2))))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
	1.2b	(.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (cbrt.f64 r) (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))))
	20.5b	(.f64 r (/.f64 (sin.f64 b) (exp.f64 (log.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
	27.8b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sqrt.f64 (.f64 (sin.f64 a) (sin.f64 b))) (sqrt.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.9b	(.f64 (.f64 r (/.f64 1 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))) (/.f64 (sin.f64 b) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	0.5b	(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
	29.3b	(*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))))
▶	0.4b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))

Compiler

Compiled 6527 to 1889 computations (71.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 r (sin.f64 b))
✓	0.2b	(/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
	0.2b	(*.f64 (sin.f64 a) (sin.f64 b))
✓	0.3b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))

series184.0ms (1.4%)

Counts

3 → 76

Calls

3 calls:

116.0ms

(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))

60.0ms

(/.f64 1 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

7.0ms

(*.f64 r (sin.f64 b))

rewrite36.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64`
22×	`add-sqr-sqrt_binary64`
20×	`associate-r_binary64`
20×	`*-un-lft-identity_binary64`
20×	`add-cube-cbrt_binary64`

Counts

3 → 101

Calls

3 calls:

15.0ms

(*.f64 (*.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))

6.0ms

(/.f64 1 (-.f64 (*.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))

3.0ms

(*.f64 r (sin.f64 b))

simplify133.0ms (1%)

Algorithm

1×	egg-herbie

Rules

758×	`fma-def_binary64`
291×	`associate-r_binary64`
288×	`associate-l_binary64`
233×	`associate-/r/_binary64`
186×	`fma-neg_binary64`

Counts

177 → 189

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	270	4746
1	722	4354
2	2742	4215
3	4895	4214
4	4960	4214

prune275.0ms (2.1%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	229	1	230
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	229	11	240

Error

Counts

240 → 11

Alt Table

Status	Error	Program
	35.1b	(.f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))
	0.5b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2))))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
	1.2b	(.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (cbrt.f64 r) (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))))
	20.5b	(.f64 r (/.f64 (sin.f64 b) (exp.f64 (log.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
▶	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
	27.8b	(.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sqrt.f64 (.f64 (sin.f64 a) (sin.f64 b))) (sqrt.f64 (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.9b	(.f64 (.f64 r (/.f64 1 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))) (/.f64 (sin.f64 b) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	0.5b	(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
	29.3b	(*.f64 (/.f64 r (sqrt.f64 (cos.f64 (+.f64 b a)))) (/.f64 (sin.f64 b) (sqrt.f64 (cos.f64 (+.f64 a b)))))
✓	0.4b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
	0.5b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (.f64 (sin.f64 a) (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (cbrt.f64 (sin.f64 b))))))

Compiler

Compiled 7411 to 2288 computations (69.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))
✓	0.2b	(/.f64 (sin.f64 b) (cos.f64 b))
✓	0.2b	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
✓	0.2b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))

series179.0ms (1.4%)

Counts

4 → 88

Calls

4 calls:

123.0ms	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
24.0ms	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
24.0ms	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))
7.0ms	(/.f64 (sin.f64 b) (cos.f64 b))

rewrite271.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

1540×	`times-frac_binary64`
1028×	`add-sqr-sqrt_binary64`
923×	`*-un-lft-identity_binary64`
878×	`add-cube-cbrt_binary64`
572×	`prod-diff_binary64`

Counts

4 → 832

Calls

4 calls:

39.0ms	(-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))
29.0ms	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
5.0ms	(/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b)))
3.0ms	(/.f64 (sin.f64 b) (cos.f64 b))

simplify1.0s (7.9%)

Algorithm

1×	egg-herbie

Rules

314×	`fma-neg_binary64`
259×	`associate-/l*_binary64`
252×	`fma-udef_binary64`
228×	`associate-r_binary64`
201×	`associate-*l/_binary64`

Counts

920 → 1053

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	715	35477
1	1097	33287
2	4118	29114
3	4710	29113
4	4957	29113
5	4931	29113

prune2.1s (15.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	1052	1	1053
Fresh	2	7	9
Picked	0	1	1
Done	1	0	1
Total	1055	9	1064

Error

Counts

1064 → 9

Alt Table

Status	Error	Program
	35.1b	(.f64 (sqrt.f64 r) (.f64 (sqrt.f64 r) (/.f64 (sin.f64 b) (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))
	0.5b	(.f64 (.f64 r (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2))))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))
	1.2b	(.f64 (.f64 (cbrt.f64 r) (cbrt.f64 r)) (/.f64 (cbrt.f64 r) (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1))))
	20.5b	(.f64 r (/.f64 (sin.f64 b) (exp.f64 (log.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b)))))))
	0.9b	(.f64 (.f64 r (/.f64 1 (.f64 (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b))))))) (/.f64 (sin.f64 b) (cbrt.f64 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (*.f64 (sin.f64 a) (sin.f64 b))))))
	0.5b	(.f64 r (.f64 (/.f64 (sin.f64 b) (-.f64 (.f64 (pow.f64 (cos.f64 a) 2) (pow.f64 (cos.f64 b) 2)) (.f64 (pow.f64 (sin.f64 a) 2) (pow.f64 (sin.f64 b) 2)))) (+.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (sin.f64 a) (sin.f64 b)))))
	0.4b	(.f64 r (/.f64 1 (-.f64 (/.f64 (.f64 (cos.f64 a) (cos.f64 b)) (sin.f64 b)) (sin.f64 a))))
✓	0.4b	(/.f64 r (-.f64 (/.f64 (cos.f64 a) (/.f64 (sin.f64 b) (cos.f64 b))) (/.f64 (sin.f64 a) 1)))
	0.5b	(.f64 (.f64 r (sin.f64 b)) (/.f64 1 (-.f64 (.f64 (cos.f64 a) (cos.f64 b)) (.f64 (.f64 (sin.f64 a) (.f64 (cbrt.f64 (sin.f64 b)) (cbrt.f64 (sin.f64 b)))) (cbrt.f64 (sin.f64 b))))))

Compiler

Compiled 50597 to 20264 computations (60% saved)

regimes3.0s (22.5%)

Accuracy

Total 0.3b remaining (80.6%)

Threshold costs 0.3b (80.6%)

Counts

427 → 1

Compiler

Compiled 53434 to 31718 computations (40.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`+-commutative_binary64`
3×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	46
1	28	46
2	36	46
3	40	46
4	41	46
5	41	46

end1.0ms (0%)

Compiler: Compiled 31 to 15 computations (51.6% saved)

sample3.2s (24.4%)

Algorithm

1×

intervals

Results

1.8s	3505×	body	1024	valid
377.0ms	1366×	body	512	valid
237.0ms	200×	body	2048	valid
229.0ms	2362×	body	128	valid
111.0ms	567×	body	256	valid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 308 to 179 computations (41.9% saved)

Details

analyze1.6s (12.2%)

sample125.0ms (0.9%)

simplify9.0ms (0.1%)

prune2.0ms (0%)

localize8.0ms (0.1%)

series91.0ms (0.7%)

rewrite18.0ms (0.1%)

simplify100.0ms (0.8%)

prune176.0ms (1.3%)

localize14.0ms (0.1%)

series212.0ms (1.6%)

rewrite34.0ms (0.3%)

simplify153.0ms (1.2%)

prune212.0ms (1.6%)

localize18.0ms (0.1%)

series184.0ms (1.4%)

rewrite36.0ms (0.3%)

simplify133.0ms (1%)

prune275.0ms (2.1%)

localize14.0ms (0.1%)

series179.0ms (1.4%)

rewrite271.0ms (2.1%)

simplify1.0s (7.9%)

prune2.1s (15.9%)

regimes3.0s (22.5%)

simplify3.0ms (0%)

end1.0ms (0%)

sample3.2s (24.4%)

Profiling