Details

analyze172.0ms (7.5%)

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
25%	68.7%	6.3%	5
25%	65.6%	9.5%	6
37.5%	39%	23.5%	7
37.5%	36.7%	25.9%	8
43.7%	20.7%	35.6%	9
43.7%	19.3%	37%	10
46.8%	10.6%	42.5%	11
46.8%	9.9%	43.3%	12
48.4%	5.4%	46.2%	13
48.4%	5%	46.6%	14

sample33.0ms (1.5%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	80	valid
2.0ms	22×	body	80	nan

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	56	16
1	56	16

prune5.0ms (0.2%)

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: 1.0b

Counts

2 → 1

localize12.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.0b	(cos.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)))
1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)
1.0b	(+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))
1.0b	(/.f64 (*.f64 2.0 PI.f64) 3.0)

rewrite34.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`*-un-lft-identity_binary64`
14×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
12×	`times-frac_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-/r*_binary64` `add-log-exp_binary64` `div-sub_binary64`
4×	`pow1_binary64` `associate-+r-_binary64` `associate-/l*_binary64` `div-inv_binary64`
3×	`acos-asin_binary64` `cbrt-undiv_binary64` `acos-neg_binary64` `div-exp_binary64` `distribute-frac-neg_binary64`
2×	`cos-diff_binary64` `clear-num_binary64` `frac-2neg_binary64`
1×	`flip3-+_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `frac-add_binary64` `distribute-rgt-out_binary64` `prod-exp_binary64` `cos-sum_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 76

Calls

4 calls:

13.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)))
11.0ms	(+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))
5.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)

series33.0ms (1.4%)

Counts

4 → 10

Calls

4 calls:

18.0ms	(cos.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)))
10.0ms	(+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0))
4.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)
0.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)

simplify63.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5326	1073

prune117.0ms (5.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	84	2	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	84	3	87

Merged error: 0b

Counts

87 → 3

localize25.0ms (1.1%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (*.f64 2.0 PI.f64) 3.0)
1.0b	(/.f64 PI.f64 3.0)
1.0b	(/.f64 PI.f64 3.0)
58.2b	(sin.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 PI.f64 3.0)))

rewrite26.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
21×	`times-frac_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-/r*_binary64`
7×	`associate-/l*_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`
1×	`cbrt-unprod_binary64` `sin-sum_binary64` `prod-exp_binary64`

Counts

4 → 83

Calls

4 calls:

12.0ms	(sin.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 PI.f64 3.0)))
5.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)
3.0ms	(/.f64 PI.f64 3.0)
3.0ms	(/.f64 PI.f64 3.0)

series0.0ms (0%)

Counts

4 → 4

Calls

4 calls:

0.0ms	(sin.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 PI.f64 3.0)))
0.0ms	(/.f64 PI.f64 3.0)
0.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)
0.0ms	(/.f64 PI.f64 3.0)

simplify51.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4957	690
1	4957	690

prune173.0ms (7.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	87	3	90

Merged error: 0b

Counts

90 → 3

localize19.0ms (0.8%)

Local error

Found 4 expressions with local error:

1.0b	(cbrt.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)))
1.0b	(/.f64 (*.f64 2.0 PI.f64) 3.0)
1.0b	(/.f64 (*.f64 2.0 PI.f64) 3.0)
1.0b	(/.f64 (*.f64 2.0 PI.f64) 3.0)

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
13×	`*-un-lft-identity_binary64`
11×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`associate-/r*_binary64` `times-frac_binary64`
6×	`cbrt-undiv_binary64` `div-exp_binary64`
5×	`div-inv_binary64` `cbrt-prod_binary64`
4×	`add-log-exp_binary64` `pow1_binary64`
3×	`cbrt-div_binary64` `cbrt-unprod_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-/l*_binary64`
1×	`flip3-+_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `frac-add_binary64` `distribute-rgt-out_binary64` `flip-+_binary64`

Counts

4 → 79

Calls

4 calls:

10.0ms	(cbrt.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)))
5.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)
5.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)
5.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)

series24.0ms (1%)

Counts

4 → 6

Calls

4 calls:

24.0ms	(cbrt.f64 (+.f64 (/.f64 (*.f64 2.0 PI.f64) 3.0) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3.0)))
0.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)
0.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)
0.0ms	(/.f64 (*.f64 2.0 PI.f64) 3.0)

simplify56.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4935	915
1	4935	915

prune169.0ms (7.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	85	3	88

Merged error: 0b

Counts

88 → 3

regimes424.0ms (18.6%)

Accuracy

Total 0.0b remaining (36.6%)

Threshold costs 0.0b (36.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	26	39
1	26	39

end0.0ms (0%)

sample807.0ms (35.4%)

Algorithm

1×

intervals

Results

607.0ms	8000×	body	80	valid
35.0ms	564×	body	80	nan

Details

analyze172.0ms (7.5%)

sample33.0ms (1.5%)

simplify7.0ms (0.3%)

prune5.0ms (0.2%)

localize12.0ms (0.5%)

rewrite34.0ms (1.5%)

series33.0ms (1.4%)

simplify63.0ms (2.8%)

prune117.0ms (5.1%)

localize25.0ms (1.1%)

rewrite26.0ms (1.1%)

series0.0ms (0%)

simplify51.0ms (2.2%)

prune173.0ms (7.6%)

localize19.0ms (0.8%)

rewrite28.0ms (1.2%)

series24.0ms (1%)

simplify56.0ms (2.5%)

prune169.0ms (7.4%)

regimes424.0ms (18.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample807.0ms (35.4%)

Profiling