Details

analyze456.0ms (7.9%)

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
37.4%	62.4%	0.1%	6
49.9%	49.9%	0.1%	7
62.4%	37.4%	0.1%	8
62.4%	37.4%	0.1%	9
71.8%	28.1%	0.1%	10
79.6%	20.3%	0.1%	11
79.6%	20.3%	0.1%	12
85%	14.8%	0.1%	13
89.3%	10.5%	0.1%	14

Compiler

Compiled 13 to 9 computations (30.8% saved)

sample73.0ms (1.3%)

Algorithm

1×

intervals

Results

34.0ms	61×	body	1024	valid
17.0ms	145×	body	128	valid
8.0ms	35×	body	512	valid
2.0ms	14×	body	256	valid
1.0ms	1×	body	2048	valid

Compiler

Compiled 28 to 20 computations (28.6% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
2×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Counts

1 → 2

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	12
1	13	12
2	16	12
3	16	12

prune3.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Status	Error	Program
	0.2b	(fma.f64 x (cos.f64 y) (*.f64 z (sin.f64 y)))
▶	0.2b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))

Compiler

Compiled 66 to 39 computations (40.9% saved)

localize7.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
✓	0.1b	(*.f64 z (sin.f64 y))
✓	0.1b	(*.f64 x (cos.f64 y))

series32.0ms (0.5%)

Counts

3 → 84

Calls

3 calls:

15.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
9.0ms	(*.f64 x (cos.f64 y))
7.0ms	(*.f64 z (sin.f64 y))

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
7×	`add-cube-cbrt_binary64`
7×	`add-cbrt-cube_binary64`
7×	`add-exp-log_binary64`

Counts

3 → 54

Calls

3 calls:

5.0ms	(*.f64 z (sin.f64 y))
3.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
3.0ms	(*.f64 x (cos.f64 y))

simplify120.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

584×	`fma-neg_binary64`
552×	`fma-def_binary64`
410×	`sub-neg_binary64`
279×	`*-commutative_binary64`
268×	`distribute-rgt-neg-in_binary64`

Counts

138 → 105

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	1414
1	340	1380
2	1080	1357
3	2388	1357
4	4538	1357
5	4653	1357
6	4935	1357
7	4908	1357

prune84.0ms (1.5%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	93	12	105
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	95	12	107

Error

0.1b

Counts

107 → 12

Alt Table

Status	Error	Program
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y))))
	26.5b	(/.f64 (.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))) (-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)))
	30.3b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y))))
	32.8b	(+.f64 (.f64 (sqrt.f64 (.f64 x (cos.f64 y))) (sqrt.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (cbrt.f64 z) (sin.f64 y))))
	26.2b	(+.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (cos.f64 y) (cos.f64 y)) (cos.f64 y)))) (.f64 z (sin.f64 y)))
	29.5b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y)))))
	22.5b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)))))
	0.7b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (.f64 z (sin.f64 y)))))
	16.0b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
▶	0.5b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y))) (.f64 z (sin.f64 y)))
	0.9b	(+.f64 (.f64 (.f64 (cbrt.f64 (.f64 x (cos.f64 y))) (cbrt.f64 (.f64 x (cos.f64 y)))) (cbrt.f64 (.f64 x (cos.f64 y)))) (.f64 z (sin.f64 y)))

Compiler

Compiled 2107 to 721 computations (65.8% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(.f64 (.f64 x (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y)))
✓	0.2b	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
✓	0.3b	(cbrt.f64 (cos.f64 y))

series529.0ms (9.2%)

Counts

3 → 48

Calls

3 calls:

269.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
250.0ms	(cbrt.f64 (cos.f64 y))
10.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y)))

rewrite20.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
22×	`cbrt-prod_binary64`
19×	`pow1_binary64`
14×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64`

Counts

3 → 81

Calls

3 calls:

10.0ms	(.f64 (.f64 x (*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (cbrt.f64 (cos.f64 y)))
5.0ms	(*.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))
1.0ms	(cbrt.f64 (cos.f64 y))

simplify105.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

780×	`fma-def_binary64`
610×	`unswap-sqr_binary64`
426×	`fma-neg_binary64`
366×	`*-commutative_binary64`
361×	`log-prod_binary64`

Counts

129 → 133

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	129	1459
1	299	1232
2	1037	1167
3	1977	1123
4	4368	1105
5	4887	1105
6	4986	1105

prune372.0ms (6.5%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	212	6	218
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	215	15	230

Error

0.0b

Counts

230 → 15

Alt Table

Status	Error	Program
	22.5b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)))))
	0.5b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
	16.0b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	0.4b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))) (.f64 z (sin.f64 y)))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y))))
▶	0.3b	(+.f64 (.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	16.1b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))))) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	26.5b	(/.f64 (.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))) (-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)))
	30.3b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y))))
	0.4b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))) (.f64 z (sin.f64 y)))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (cbrt.f64 z) (sin.f64 y))))
	26.2b	(+.f64 (cbrt.f64 (.f64 (.f64 (.f64 x x) x) (.f64 (.f64 (cos.f64 y) (cos.f64 y)) (cos.f64 y)))) (.f64 z (sin.f64 y)))
	29.5b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y)))))
	0.7b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (.f64 z (sin.f64 y)))))
	0.5b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))) (.f64 z (sin.f64 y)))

Compiler

Compiled 5665 to 1673 computations (70.5% saved)

localize19.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(*.f64 z (sin.f64 y))
✓	0.2b	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
✓	0.3b	(pow.f64 (cos.f64 y) 2)
	0.3b	(cbrt.f64 (cos.f64 y))

series13.0ms (0.2%)

Counts

2 → 28

Calls

2 calls:

10.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
3.0ms	(pow.f64 (cos.f64 y) 2)

rewrite11.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64`
11×	`prod-exp_binary64`
6×	`associate-r_binary64`
6×	`add-cbrt-cube_binary64`
6×	`*-un-lft-identity_binary64`

Counts

2 → 47

Calls

2 calls:

7.0ms	(.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (cbrt.f64 (cos.f64 y)))
2.0ms	(pow.f64 (cos.f64 y) 2)

simplify119.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

639×	`fma-neg_binary64`
576×	`unswap-sqr_binary64`
435×	`sqr-pow_binary64`
433×	`fma-def_binary64`
336×	`*-commutative_binary64`

Counts

75 → 76

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	110	1034
1	253	880
2	787	833
3	1566	815
4	3415	635
5	3980	617
6	4678	617
7	4942	617
8	4901	617

prune226.0ms (3.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	3	11	14
Picked	1	0	1
Done	0	0	0
Total	138	14	152

Error

0.0b

Counts

152 → 14

Alt Table

Status	Error	Program
	22.5b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)))))
	0.5b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y))))
	16.1b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))))) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	26.5b	(/.f64 (.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))) (-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)))
	30.3b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y))))
	0.4b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))) (.f64 z (sin.f64 y)))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (cbrt.f64 z) (sin.f64 y))))
	26.2b	(+.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (pow.f64 (cos.f64 y) 2)) (cos.f64 y))) (*.f64 z (sin.f64 y)))
	29.5b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y)))))
	0.7b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (.f64 z (sin.f64 y)))))
▶	0.3b	(+.f64 (.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
	16.0b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	0.3b	(+.f64 (.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))

Compiler

Compiled 3597 to 1730 computations (51.9% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))
	0.3b	(pow.f64 (cos.f64 y) 2)
✓	0.3b	(log1p.f64 (cbrt.f64 (cos.f64 y)))
	0.3b	(cbrt.f64 (cos.f64 y))

series636.0ms (11.1%)

Counts

2 → 24

Calls

2 calls:

467.0ms	(log1p.f64 (cbrt.f64 (cos.f64 y)))
169.0ms	(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))

rewrite1.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`expm1-log1p-u_binary64`
2×	`*-un-lft-identity_binary64`
2×	`add-sqr-sqrt_binary64`
2×	`add-cube-cbrt_binary64`
2×	`add-cbrt-cube_binary64`

Counts

2 → 22

Calls

2 calls:

0.0ms	(log1p.f64 (cbrt.f64 (cos.f64 y)))
0.0ms	(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))

simplify72.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

748×	`distribute-rgt-neg-in_binary64`
636×	`fma-def_binary64`
539×	`associate-l_binary64`
454×	`unswap-sqr_binary64`
442×	`associate-r_binary64`

Counts

46 → 46

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	60	411
1	120	380
2	294	374
3	866	370
4	3194	370
5	4908	370
6	5160	370

prune164.0ms (2.9%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	13	13
Picked	0	1	1
Done	0	0	0
Total	100	14	114

Error

0.0b

Counts

114 → 14

Alt Table

Status	Error	Program
	22.5b	(+.f64 (.f64 x (cos.f64 y)) (cbrt.f64 (.f64 (.f64 (.f64 z z) z) (.f64 (.f64 (sin.f64 y) (sin.f64 y)) (sin.f64 y)))))
	0.5b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 y))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 z (.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))) (cbrt.f64 (sin.f64 y))))
	16.1b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (sqrt.f64 (cos.f64 y))) (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (sqrt.f64 (cos.f64 y)))))) (cbrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	26.5b	(/.f64 (.f64 (fma.f64 (cos.f64 y) x (.f64 (sin.f64 y) z)) (-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z))) (-.f64 (.f64 (cos.f64 y) x) (.f64 (sin.f64 y) z)))
	30.3b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 z) (*.f64 (sqrt.f64 z) (sin.f64 y))))
	0.4b	(+.f64 (.f64 (.f64 x (.f64 (cbrt.f64 (cos.f64 y)) (cbrt.f64 (cos.f64 y)))) (log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 y))))) (.f64 z (sin.f64 y)))
	0.6b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 z) (cbrt.f64 z)) (.f64 (cbrt.f64 z) (sin.f64 y))))
	26.2b	(+.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 x x) x) (pow.f64 (cos.f64 y) 2)) (cos.f64 y))) (*.f64 z (sin.f64 y)))
	29.5b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (sqrt.f64 (.f64 z (sin.f64 y))) (sqrt.f64 (.f64 z (sin.f64 y)))))
	0.7b	(+.f64 (.f64 x (cos.f64 y)) (.f64 (.f64 (cbrt.f64 (.f64 z (sin.f64 y))) (cbrt.f64 (.f64 z (sin.f64 y)))) (cbrt.f64 (.f64 z (sin.f64 y)))))
✓	0.3b	(+.f64 (.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))
	16.0b	(+.f64 (.f64 (.f64 x (sqrt.f64 (cos.f64 y))) (sqrt.f64 (cos.f64 y))) (*.f64 z (sin.f64 y)))
	0.3b	(+.f64 (.f64 (.f64 x (pow.f64 (pow.f64 (cos.f64 y) 2) 1/3)) (log.f64 (exp.f64 (cbrt.f64 (cos.f64 y))))) (*.f64 z (sin.f64 y)))

Compiler

Compiled 2694 to 1334 computations (50.5% saved)

regimes422.0ms (7.4%)

Accuracy

Total 0.1b remaining (68%)

Threshold costs 0.1b (68%)

Counts

104 → 1

Compiler

Compiled 8216 to 5198 computations (36.7% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	12
1	9	12
2	9	12

end0.0ms (0%)

Compiler: Compiled 11 to 7 computations (36.4% saved)

sample2.2s (38.4%)

Algorithm

1×

intervals

Results

1.0s	2027×	body	1024	valid
392.0ms	4504×	body	128	valid
240.0ms	970×	body	512	valid
83.0ms	492×	body	256	valid
8.0ms	7×	body	2048	valid

Compiler

Compiled 343 to 194 computations (43.4% saved)

Details

analyze456.0ms (7.9%)

sample73.0ms (1.3%)

simplify9.0ms (0.2%)

prune3.0ms (0.1%)

localize7.0ms (0.1%)

series32.0ms (0.5%)

rewrite13.0ms (0.2%)

simplify120.0ms (2.1%)

prune84.0ms (1.5%)

localize11.0ms (0.2%)

series529.0ms (9.2%)

rewrite20.0ms (0.4%)

simplify105.0ms (1.8%)

prune372.0ms (6.5%)

localize19.0ms (0.3%)

series13.0ms (0.2%)

rewrite11.0ms (0.2%)

simplify119.0ms (2.1%)

prune226.0ms (3.9%)

localize16.0ms (0.3%)

series636.0ms (11.1%)

rewrite1.0ms (0%)

simplify72.0ms (1.3%)

prune164.0ms (2.9%)

regimes422.0ms (7.4%)

simplify2.0ms (0%)

end0.0ms (0%)

sample2.2s (38.4%)

Profiling