Details

analyze998.0ms (3.2%)

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
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 10 to 9 computations (10% saved)

sample173.0ms (0.6%)

Algorithm

1×

intervals

Results

61.0ms	59×	body	1024	valid
38.0ms	145×	body	128	valid
21.0ms	35×	body	512	valid
6.0ms	1×	body	2048	valid
4.0ms	16×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify446.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune11.0ms (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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize33.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.2b	(*.f64 x (cos.f64 y))
0.2b	(*.f64 z (sin.f64 y))

rewrite80.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5897`
7×	`add-cube-cbrt_binary64_5910` `add-exp-log_binary64_5913` `*-un-lft-identity_binary64_5875` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936`
6×	`associate-r_binary64_5815` `associate-l_binary64_5816`
5×	`add-log-exp_binary64_5914`
2×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `unswap-sqr_binary64_5843` `prod-exp_binary64_5924` `*-commutative_binary64_5806`
1×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `sum-log_binary64_5966` `+-commutative_binary64_5805`

Counts

3 → 47

Calls

3 calls:

26.0ms	(*.f64 z (sin.f64 y))
21.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
20.0ms	(*.f64 x (cos.f64 y))

series463.0ms (1.5%)

Counts

3 → 9

Calls

3 calls:

221.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
137.0ms	(*.f64 z (sin.f64 y))
105.0ms	(*.f64 x (cos.f64 y))

simplify342.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (265.0ms)

Iter	Nodes	Cost
0	5082	619

prune639.0ms (2%)

Pruning

25 alts after pruning (24 fresh and 1 done)

	Pruned	Kept	Total
New	32	24	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	32	25	57

Merged error: 0.0b

Counts

57 → 25

Compiler

Compiled 1134 to 398 computations (64.9% saved)

localize59.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
0.2b	(*.f64 x (cos.f64 y))
0.2b	(*.f64 z (sin.f64 y))

rewrite59.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5897`
7×	`add-cube-cbrt_binary64_5910` `add-exp-log_binary64_5913` `*-un-lft-identity_binary64_5875` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936`
6×	`associate-r_binary64_5815` `associate-l_binary64_5816`
5×	`add-log-exp_binary64_5914`
2×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `unswap-sqr_binary64_5843` `prod-exp_binary64_5924` `*-commutative_binary64_5806`
1×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `sum-log_binary64_5966` `+-commutative_binary64_5805`

Counts

3 → 47

Calls

3 calls:

20.0ms	(*.f64 x (cos.f64 y))
17.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
17.0ms	(*.f64 z (sin.f64 y))

series452.0ms (1.4%)

Counts

3 → 9

Calls

3 calls:

214.0ms	(+.f64 (.f64 x (cos.f64 y)) (.f64 z (sin.f64 y)))
120.0ms	(*.f64 z (sin.f64 y))
117.0ms	(*.f64 x (cos.f64 y))

simplify143.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	5082	619

prune1.2s (3.8%)

Pruning

45 alts after pruning (43 fresh and 2 done)

	Pruned	Kept	Total
New	34	22	56
Fresh	2	21	23
Picked	0	1	1
Done	0	1	1
Total	36	45	81

Merged error: 0.0b

Counts

81 → 45

Compiler

Compiled 1615 to 748 computations (53.7% saved)

localize70.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 1 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
0.2b	(*.f64 x (cos.f64 y))
0.2b	(*.f64 z (sin.f64 y))

rewrite90.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5897`
7×	`add-cube-cbrt_binary64_5910` `add-exp-log_binary64_5913` `*-un-lft-identity_binary64_5875` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936`
6×	`associate-r_binary64_5815` `associate-l_binary64_5816`
5×	`add-log-exp_binary64_5914`
2×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `unswap-sqr_binary64_5843` `prod-exp_binary64_5924` `*-commutative_binary64_5806`
1×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `sum-log_binary64_5966` `+-commutative_binary64_5805`

Counts

3 → 47

Calls

3 calls:

33.0ms	(+.f64 (.f64 1 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
28.0ms	(*.f64 z (sin.f64 y))
15.0ms	(*.f64 x (cos.f64 y))

series366.0ms (1.2%)

Counts

3 → 9

Calls

3 calls:

183.0ms	(+.f64 (.f64 1 (.f64 x (cos.f64 y))) (*.f64 z (sin.f64 y)))
120.0ms	(*.f64 x (cos.f64 y))
63.0ms	(*.f64 z (sin.f64 y))

simplify276.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (250.0ms)

Iter	Nodes	Cost
0	5124	619

prune1.4s (4.4%)

Pruning

59 alts after pruning (56 fresh and 3 done)

	Pruned	Kept	Total
New	40	16	56
Fresh	2	40	42
Picked	0	1	1
Done	0	2	2
Total	42	59	101

Merged error: 0.0b

Counts

101 → 59

Compiler

Compiled 1955 to 1037 computations (47% saved)

localize49.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 1 (pow.f64 (.f64 x (cos.f64 y)) 1)) (*.f64 z (sin.f64 y)))
0.2b	(*.f64 x (cos.f64 y))
0.2b	(*.f64 z (sin.f64 y))

rewrite68.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5897`
7×	`add-cube-cbrt_binary64_5910` `add-exp-log_binary64_5913` `*-un-lft-identity_binary64_5875` `add-cbrt-cube_binary64_5911` `pow1_binary64_5936`
6×	`associate-r_binary64_5815` `associate-l_binary64_5816`
5×	`add-log-exp_binary64_5914`
2×	`pow-prod-down_binary64_5946` `cbrt-unprod_binary64_5908` `unswap-sqr_binary64_5843` `prod-exp_binary64_5924` `*-commutative_binary64_5806`
1×	`flip-+_binary64_5849` `flip3-+_binary64_5878` `sum-log_binary64_5966` `+-commutative_binary64_5805`

Counts

3 → 47

Calls

3 calls:

25.0ms	(+.f64 (.f64 1 (pow.f64 (.f64 x (cos.f64 y)) 1)) (*.f64 z (sin.f64 y)))
20.0ms	(*.f64 x (cos.f64 y))
13.0ms	(*.f64 z (sin.f64 y))

series503.0ms (1.6%)

Counts

3 → 9

Calls

3 calls:

248.0ms	(+.f64 (.f64 1 (pow.f64 (.f64 x (cos.f64 y)) 1)) (*.f64 z (sin.f64 y)))
153.0ms	(*.f64 z (sin.f64 y))
101.0ms	(*.f64 x (cos.f64 y))

simplify381.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (344.0ms)

Iter	Nodes	Cost
0	4894	609
1	4894	609

prune1.4s (4.5%)

Pruning

72 alts after pruning (68 fresh and 4 done)

	Pruned	Kept	Total
New	39	17	56
Fresh	4	51	55
Picked	0	1	1
Done	0	3	3
Total	43	72	115

Merged error: 0.0b

Counts

115 → 72

Compiler

Compiled 1023 to 460 computations (55% saved)

regimes4.5s (14.3%)

Compiler: Compiled 9643 to 7334 computations (23.9% saved)

bsearch0.0ms (0%)

simplify8.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	14
1	18	14

end0.0ms (0%)

sample17.2s (54.8%)

Algorithm

1×

intervals

Results

2.5s	1931×	body	1024	valid
1.4s	4472×	body	128	valid
1.0s	1069×	body	512	valid
311.0ms	521×	body	256	valid
11.0ms	7×	body	2048	valid

Compiler

Compiled 2405 to 1828 computations (24% saved)

Pareto

Details

analyze998.0ms (3.2%)

sample173.0ms (0.6%)

simplify446.0ms (1.4%)

prune11.0ms (0%)

localize33.0ms (0.1%)

rewrite80.0ms (0.3%)

series463.0ms (1.5%)

simplify342.0ms (1.1%)

prune639.0ms (2%)

localize59.0ms (0.2%)

rewrite59.0ms (0.2%)

series452.0ms (1.4%)

simplify143.0ms (0.5%)

prune1.2s (3.8%)

localize70.0ms (0.2%)

rewrite90.0ms (0.3%)

series366.0ms (1.2%)

simplify276.0ms (0.9%)

prune1.4s (4.4%)

localize49.0ms (0.2%)

rewrite68.0ms (0.2%)

series503.0ms (1.6%)

simplify381.0ms (1.2%)

prune1.4s (4.5%)

regimes4.5s (14.3%)

bsearch0.0ms (0%)

simplify8.0ms (0%)

end0.0ms (0%)

sample17.2s (54.8%)

Profiling