Details

analyze295.0ms (4.9%)

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
25%	74.9%	0.1%	6
49.9%	49.9%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	9
71.8%	28.1%	0.1%	10
76.5%	23.4%	0.1%	11
76.5%	23.4%	0.1%	12
85%	14.8%	0.1%	13
87.8%	12.1%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample57.0ms (0.9%)

Algorithm

1×

intervals

Results

24.0ms	65×	body	1024	valid
15.0ms	151×	body	128	valid
6.0ms	25×	body	512	valid
2.0ms	15×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify173.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

prune3.0ms (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: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize10.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
0.1b	(*.f64 x (sin.f64 y))
0.1b	(*.f64 z (cos.f64 y))

rewrite26.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-sqr-sqrt_binary64_5949`
7×	`*-un-lft-identity_binary64_5927` `add-cbrt-cube_binary64_5963` `add-cube-cbrt_binary64_5962` `add-exp-log_binary64_5965` `pow1_binary64_5988`
6×	`associate-l_binary64_5868` `associate-r_binary64_5867`
5×	`add-log-exp_binary64_5966`
2×	`unswap-sqr_binary64_5895` `prod-exp_binary64_5976` `*-commutative_binary64_5858` `pow-prod-down_binary64_5998` `cbrt-unprod_binary64_5960`
1×	`flip-+_binary64_5901` `flip3-+_binary64_5930` `+-commutative_binary64_5857` `sum-log_binary64_6018`

Counts

3 → 47

Calls

3 calls:

10.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
7.0ms	(*.f64 z (cos.f64 y))
6.0ms	(*.f64 x (sin.f64 y))

series259.0ms (4.3%)

Counts

3 → 9

Calls

3 calls:

142.0ms	(+.f64 (.f64 x (sin.f64 y)) (.f64 z (cos.f64 y)))
59.0ms	(*.f64 z (cos.f64 y))
58.0ms	(*.f64 x (sin.f64 y))

simplify132.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (119.0ms)

Iter	Nodes	Cost
0	4875	625
1	4875	625

prune200.0ms (3.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	45	11	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	12	57

Merged error: 0.0b

Counts

57 → 12

Compiler

Compiled 2836 to 1551 computations (45.3% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))
0.6b	(cbrt.f64 (sin.f64 y))

rewrite20.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_5958`
23×	`add-sqr-sqrt_binary64_5949`
15×	`*-un-lft-identity_binary64_5927` `add-cube-cbrt_binary64_5962`
11×	`pow1_binary64_5988`
9×	`pow1/3_binary64_6009`
6×	`swap-sqr_binary64_5894` `add-exp-log_binary64_5965` `associate-l_binary64_5868` `associate-r_binary64_5867`
4×	`add-log-exp_binary64_5966` `unswap-sqr_binary64_5895` `add-cbrt-cube_binary64_5963`
2×	`pow-sqr_binary64_5900` `pow-prod-up_binary64_5997` `pow-prod-down_binary64_5998`
1×	`pow-plus_binary64_5990` `pow2_binary64_6008` `prod-exp_binary64_5976` `*-commutative_binary64_5858` `cbrt-unprod_binary64_5960`

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))
2.0ms	(cbrt.f64 (sin.f64 y))

series553.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

172.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
132.0ms	(cbrt.f64 (sin.f64 y))
126.0ms	(cbrt.f64 (sin.f64 y))
122.0ms	(cbrt.f64 (sin.f64 y))

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4883	797
1	4883	797

prune120.0ms (2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	10	10
Picked	0	1	1
Done	0	1	1
Total	85	12	97

Merged error: 0.0b

Counts

97 → 12

Compiler

Compiled 2374 to 840 computations (64.6% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y))))
8.1b	(cbrt.f64 (*.f64 x (sin.f64 y)))
8.1b	(cbrt.f64 (*.f64 x (sin.f64 y)))
8.1b	(cbrt.f64 (*.f64 x (sin.f64 y)))

rewrite22.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_5988`
10×	`add-sqr-sqrt_binary64_5949`
9×	`pow1/3_binary64_6009`
8×	`*-un-lft-identity_binary64_5927` `add-cube-cbrt_binary64_5962`
7×	`cbrt-prod_binary64_5958`
6×	`add-exp-log_binary64_5965`
4×	`add-log-exp_binary64_5966` `add-cbrt-cube_binary64_5963` `swap-sqr_binary64_5894` `associate-l_binary64_5868` `associate-r_binary64_5867`
2×	`pow-sqr_binary64_5900` `pow-prod-up_binary64_5997` `pow-prod-down_binary64_5998`
1×	`unswap-sqr_binary64_5895` `pow-plus_binary64_5990` `pow2_binary64_6008` `prod-exp_binary64_5976` `*-commutative_binary64_5858` `cbrt-unprod_binary64_5960`

Counts

4 → 58

Calls

4 calls:

7.0ms	(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y))))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
3.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))

series834.0ms (13.8%)

Counts

4 → 12

Calls

4 calls:

252.0ms	(.f64 (cbrt.f64 (.f64 x (sin.f64 y))) (cbrt.f64 (*.f64 x (sin.f64 y))))
194.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
194.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))
192.0ms	(cbrt.f64 (*.f64 x (sin.f64 y)))

simplify85.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4868	687
1	4868	687

prune127.0ms (2.1%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	68	2	70
Fresh	0	9	9
Picked	1	0	1
Done	0	2	2
Total	69	13	82

Merged error: 0.0b

Counts

82 → 13

Compiler

Compiled 2507 to 868 computations (65.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))
0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))
0.6b	(cbrt.f64 (*.f64 z (cos.f64 y)))

rewrite24.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`pow1_binary64_5988`
10×	`add-sqr-sqrt_binary64_5949`
9×	`pow1/3_binary64_6009`
8×	`*-un-lft-identity_binary64_5927` `add-cube-cbrt_binary64_5962`
7×	`cbrt-prod_binary64_5958`
6×	`add-exp-log_binary64_5965`
4×	`add-log-exp_binary64_5966` `add-cbrt-cube_binary64_5963` `swap-sqr_binary64_5894` `associate-l_binary64_5868` `associate-r_binary64_5867`
2×	`pow-sqr_binary64_5900` `pow-prod-up_binary64_5997` `pow-prod-down_binary64_5998`
1×	`unswap-sqr_binary64_5895` `pow-plus_binary64_5990` `pow2_binary64_6008` `prod-exp_binary64_5976` `*-commutative_binary64_5858` `cbrt-unprod_binary64_5960`

Counts

4 → 58

Calls

4 calls:

10.0ms	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))
3.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
3.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))

series841.0ms (13.9%)

Counts

4 → 12

Calls

4 calls:

246.0ms	(.f64 (cbrt.f64 (.f64 z (cos.f64 y))) (cbrt.f64 (*.f64 z (cos.f64 y))))
200.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
198.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))
197.0ms	(cbrt.f64 (*.f64 z (cos.f64 y)))

simplify66.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4944	704
1	4944	704

prune77.0ms (1.3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	70	13	83

Merged error: 0.0b

Counts

83 → 13

Compiler

Compiled 1884 to 473 computations (74.9% saved)

regimes116.0ms (1.9%)

Compiler: Compiled 912 to 594 computations (34.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	14
1	12	14

end0.0ms (0%)

sample1.9s (30.9%)

Algorithm

1×

intervals

Results

765.0ms	1961×	body	1024	valid
335.0ms	4597×	body	128	valid
216.0ms	937×	body	512	valid
76.0ms	498×	body	256	valid
6.0ms	7×	body	2048	valid

Compiler

Compiled 241 to 160 computations (33.6% saved)

Details

analyze295.0ms (4.9%)

sample57.0ms (0.9%)

simplify173.0ms (2.9%)

prune3.0ms (0%)

localize10.0ms (0.2%)

rewrite26.0ms (0.4%)

series259.0ms (4.3%)

simplify132.0ms (2.2%)

prune200.0ms (3.3%)

localize15.0ms (0.2%)

rewrite20.0ms (0.3%)

series553.0ms (9.1%)

simplify97.0ms (1.6%)

prune120.0ms (2%)

localize15.0ms (0.2%)

rewrite22.0ms (0.4%)

series834.0ms (13.8%)

simplify85.0ms (1.4%)

prune127.0ms (2.1%)

localize15.0ms (0.2%)

rewrite24.0ms (0.4%)

series841.0ms (13.9%)

simplify66.0ms (1.1%)

prune77.0ms (1.3%)

regimes116.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.9s (30.9%)

Profiling