Details

analyze284.0ms (6.6%)

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
31.2%	68.6%	0.1%	6
43.7%	56.2%	0.1%	7
59.3%	40.6%	0.1%	8
59.3%	40.6%	0.1%	9
68.6%	31.2%	0.1%	10
78%	21.8%	0.1%	11
78%	21.8%	0.1%	12
83.5%	16.4%	0.1%	13
88.5%	11.3%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample41.0ms (0.9%)

Algorithm

1×

intervals

Results

14.0ms	38×	body	1024	valid
12.0ms	188×	body	128	valid
3.0ms	16×	body	512	valid
2.0ms	14×	body	256	valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify171.0ms (4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (11.0ms)

Iter	Nodes	Cost
0	208	14
1	208	14

prune2.0ms (0.1%)

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: 0.0b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize9.0ms (0.2%)

Local error

Found 3 expressions with local error:

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

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-log-exp_binary64_4831`
7×	`*-un-lft-identity_binary64_4795` `add-sqr-sqrt_binary64_4816`
5×	`pow1_binary64_4853` `add-exp-log_binary64_4830` `add-cbrt-cube_binary64_4828` `add-cube-cbrt_binary64_4827`
3×	`associate-r_binary64_4737` `associate-l_binary64_4738`
2×	`sum-log_binary64_4883` `diff-log_binary64_4884`
1×	`unswap-sqr_binary64_4763` `flip3--_binary64_4799` `sub-neg_binary64_4788` `flip3-+_binary64_4798` `flip-+_binary64_4769` `distribute-lft-out_binary64_4748` `*-commutative_binary64_4728` `associate--l+_binary64_4734` `cbrt-unprod_binary64_4825` `flip--_binary64_4770` `+-commutative_binary64_4727` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841`

Counts

3 → 43

Calls

3 calls:

7.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
5.0ms	(*.f64 z (sin.f64 y))
4.0ms	(+.f64 x (cos.f64 y))

series184.0ms (4.2%)

Counts

3 → 9

Calls

3 calls:

89.0ms	(-.f64 (+.f64 x (cos.f64 y)) (*.f64 z (sin.f64 y)))
54.0ms	(*.f64 z (sin.f64 y))
40.0ms	(+.f64 x (cos.f64 y))

simplify58.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5114	652

prune47.0ms (1.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	6	53

Merged error: 0.0b

Counts

53 → 6

Compiler

Compiled 778 to 207 computations (73.4% saved)

localize13.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))
0.7b	(cbrt.f64 (sin.f64 y))

rewrite18.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`cbrt-prod_binary64_4823`
23×	`add-sqr-sqrt_binary64_4816`
15×	`*-un-lft-identity_binary64_4795` `add-cube-cbrt_binary64_4827`
11×	`pow1_binary64_4853`
9×	`pow1/3_binary64_4874`
6×	`add-exp-log_binary64_4830` `associate-r_binary64_4737` `swap-sqr_binary64_4762` `associate-l_binary64_4738`
4×	`unswap-sqr_binary64_4763` `add-cbrt-cube_binary64_4828` `add-log-exp_binary64_4831`
2×	`pow-sqr_binary64_4768` `pow-prod-up_binary64_4862` `pow-prod-down_binary64_4863`
1×	`pow-plus_binary64_4855` `pow2_binary64_4873` `*-commutative_binary64_4728` `cbrt-unprod_binary64_4825` `prod-exp_binary64_4841`

Counts

4 → 73

Calls

4 calls:

7.0ms	(*.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))

series534.0ms (12.3%)

Counts

4 → 12

Calls

4 calls:

159.0ms	(*.f64 (cbrt.f64 (sin.f64 y)) (cbrt.f64 (sin.f64 y)))
134.0ms	(cbrt.f64 (sin.f64 y))
125.0ms	(cbrt.f64 (sin.f64 y))
117.0ms	(cbrt.f64 (sin.f64 y))

simplify64.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5041	797

prune83.0ms (1.9%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	84	7	91

Merged error: 0.0b

Counts

91 → 7

Compiler

Compiled 1868 to 528 computations (71.7% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (sin.f64 y) 2)
0.3b	(.f64 (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)))
0.7b	(cbrt.f64 (sin.f64 y))
16.5b	(cbrt.f64 (pow.f64 (sin.f64 y) 2))

rewrite22.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`cbrt-prod_binary64_4823`
11×	`*-un-lft-identity_binary64_4795` `add-sqr-sqrt_binary64_4816` `add-cube-cbrt_binary64_4827`
10×	`pow1_binary64_4853` `add-exp-log_binary64_4830`
6×	`unpow-prod-down_binary64_4871` `associate-r_binary64_4737` `add-cbrt-cube_binary64_4828`
4×	`add-log-exp_binary64_4831`
3×	`pow-unpow_binary64_4869` `cbrt-unprod_binary64_4825` `pow-prod-down_binary64_4863` `prod-exp_binary64_4841`
2×	`sqr-pow_binary64_4767` `unpow2_binary64_4857` `pow1/3_binary64_4874`
1×	`pow-exp_binary64_4860` `pow-to-exp_binary64_4861` `-commutative_binary64_4728` `associate-l*_binary64_4738` `pow-pow_binary64_4864`

Counts

4 → 66

Calls

4 calls:

9.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)))
3.0ms	(pow.f64 (sin.f64 y) 2)
3.0ms	(cbrt.f64 (pow.f64 (sin.f64 y) 2))
1.0ms	(cbrt.f64 (sin.f64 y))

series364.0ms (8.4%)

Counts

4 → 12

Calls

4 calls:

159.0ms	(cbrt.f64 (pow.f64 (sin.f64 y) 2))
124.0ms	(cbrt.f64 (sin.f64 y))
57.0ms	(.f64 (.f64 z (cbrt.f64 (pow.f64 (sin.f64 y) 2))) (cbrt.f64 (sin.f64 y)))
24.0ms	(pow.f64 (sin.f64 y) 2)

simplify56.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5197	874

prune75.0ms (1.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	78	7	85

Merged error: 0.0b

Counts

85 → 7

Compiler

Compiled 1547 to 651 computations (57.9% saved)

localize18.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (sin.f64 y) 2)
0.3b	(.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y)))
0.7b	(cbrt.f64 (sin.f64 y))
17.5b	(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)

rewrite28.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-exp-log_binary64_4830`
14×	`unpow-prod-down_binary64_4871`
12×	`*-un-lft-identity_binary64_4795` `add-sqr-sqrt_binary64_4816` `add-cube-cbrt_binary64_4827`
11×	`prod-exp_binary64_4841`
9×	`pow-exp_binary64_4860`
8×	`add-cbrt-cube_binary64_4828`
7×	`pow1_binary64_4853`
6×	`cbrt-prod_binary64_4823` `associate-r_binary64_4737` `pow-unpow_binary64_4869`
5×	`pow-to-exp_binary64_4861` `cbrt-unprod_binary64_4825`
4×	`add-log-exp_binary64_4831`
3×	`sqr-pow_binary64_4767`
2×	`unpow2_binary64_4857` `pow-pow_binary64_4864` `unpow1/3_binary64_4859`
1×	`-commutative_binary64_4728` `associate-l*_binary64_4738` `pow1/3_binary64_4874` `pow-prod-down_binary64_4863`

Counts

4 → 79

Calls

4 calls:

10.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y)))
6.0ms	(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
3.0ms	(pow.f64 (sin.f64 y) 2)
2.0ms	(cbrt.f64 (sin.f64 y))

series376.0ms (8.7%)

Counts

4 → 12

Calls

4 calls:

158.0ms	(pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)
135.0ms	(cbrt.f64 (sin.f64 y))
59.0ms	(.f64 (.f64 z (pow.f64 (pow.f64 (sin.f64 y) 2) 1/3)) (cbrt.f64 (sin.f64 y)))
23.0ms	(pow.f64 (sin.f64 y) 2)

simplify108.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4804	799
1	4804	799

prune77.0ms (1.8%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	91	0	91
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	91	7	98

Merged error: 0.0b

Counts

98 → 7

Compiler

Compiled 1619 to 626 computations (61.3% saved)

regimes104.0ms (2.4%)

Compiler: Compiled 772 to 590 computations (23.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	37	14
1	37	14

end0.0ms (0%)

sample1.6s (36%)

Algorithm

1×

intervals

Results

465.0ms	1302×	body	1024	valid
397.0ms	5671×	body	128	valid
150.0ms	671×	body	512	valid
51.0ms	352×	body	256	valid
4.0ms	4×	body	2048	valid

Compiler

Compiled 206 to 159 computations (22.8% saved)

Details

analyze284.0ms (6.6%)

sample41.0ms (0.9%)

simplify171.0ms (4%)

prune2.0ms (0.1%)

localize9.0ms (0.2%)

rewrite19.0ms (0.4%)

series184.0ms (4.2%)

simplify58.0ms (1.3%)

prune47.0ms (1.1%)

localize13.0ms (0.3%)

rewrite18.0ms (0.4%)

series534.0ms (12.3%)

simplify64.0ms (1.5%)

prune83.0ms (1.9%)

localize14.0ms (0.3%)

rewrite22.0ms (0.5%)

series364.0ms (8.4%)

simplify56.0ms (1.3%)

prune75.0ms (1.7%)

localize18.0ms (0.4%)

rewrite28.0ms (0.6%)

series376.0ms (8.7%)

simplify108.0ms (2.5%)

prune77.0ms (1.8%)

regimes104.0ms (2.4%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.6s (36%)

Profiling