Details

analyze1.8s (23.8%)

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
0%	99.9%	0.1%	6
0%	99.9%	0.1%	7
15.6%	84.3%	0.1%	8
15.6%	84.3%	0.1%	9
15.6%	84.3%	0.1%	10
30.4%	69.4%	0.1%	11
30.4%	69.4%	0.1%	12
30.4%	69.4%	0.1%	13
39.6%	60.3%	0.1%	14

sample105.0ms (1.4%)

Algorithm

1×

intervals

Results

36.0ms	45×	body	1280	valid
32.0ms	49×	body	640	valid
14.0ms	129×	body	80	valid
7.0ms	18×	body	320	valid
4.0ms	15×	body	160	valid

simplify76.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	5501	24

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 17.1b

Counts

2 → 1

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0)))
0.2b	(pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)
7.1b	(sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)))
9.0b	(.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))) (sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (*.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0))))

rewrite40.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-exp-log_binary64`
20×	`pow1_binary64`
18×	`add-cbrt-cube_binary64`
15×	`*-un-lft-identity_binary64`
12×	`prod-exp_binary64` `add-sqr-sqrt_binary64`
11×	`add-cube-cbrt_binary64`
10×	`associate-r_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64`
8×	`sqrt-prod_binary64`
7×	`unpow-prod-down_binary64`
4×	`add-log-exp_binary64` `pow-exp_binary64` `sqrt-div_binary64`
3×	`pow-unpow_binary64` `times-frac_binary64` `div-exp_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `associate-l_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`pow-to-exp_binary64` `pow1/2_binary64` `pow-pow_binary64` `sqr-pow_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `div-inv_binary64`

Counts

4 → 85

Calls

4 calls:

16.0ms	(.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))) (sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (*.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0))))
8.0ms	(sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)))
8.0ms	(pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)
6.0ms	(.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0)))

series153.0ms (2%)

Counts

4 → 12

Calls

4 calls:

58.0ms	(.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))) (sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (*.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0))))
46.0ms	(sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)))
39.0ms	(pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)
10.0ms	(.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0)))

simplify95.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4983	1601
1	4983	1601

prune208.0ms (2.7%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	90	7	97
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	8	98

Merged error: 12.7b

Counts

98 → 8

localize27.0ms (0.4%)

Local error

Found 4 expressions with local error:

2.4b	(sqrt.f64 (cbrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0))))
2.5b	(.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))) (fabs.f64 (cbrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K 2.0)) (*.f64 J 2.0))) 2.0)))))
13.8b	(cbrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)))
13.8b	(cbrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K 2.0)) (.f64 J 2.0))) 2.0)))

rewrite35.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
14×	`pow1_binary64`
13×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`add-cube-cbrt_binary64`
7×	`sqrt-prod_binary64`
6×	`cbrt-div_binary64` `pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64`
3×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-r_binary64` `pow1/3_binary64` `flip-+_binary64`
2×	`sqrt-pow1_binary64` `rem-sqrt-square_binary64` `sqrt-div_binary64`
1×	`pow1/2_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

10.0ms	(cbrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K 2.0)) (.f64 J 2.0))) 2.0)))
9.0ms	(sqrt.f64 (cbrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0))))
7.0ms	(cbrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)))
7.0ms	(.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))) (fabs.f64 (cbrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K 2.0)) (*.f64 J 2.0))) 2.0)))))

series293.0ms (3.8%)

Counts

4 → 12

Calls

4 calls:

86.0ms	(cbrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K 2.0)) (.f64 J 2.0))) 2.0)))
80.0ms	(sqrt.f64 (cbrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0))))
78.0ms	(cbrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)))
49.0ms	(.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))) (fabs.f64 (cbrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (cos.f64 (/.f64 K 2.0)) (*.f64 J 2.0))) 2.0)))))

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5083	1785

prune236.0ms (3.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	82	8	90

Merged error: 12.7b

Counts

90 → 8

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))
0.6b	(cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))
7.1b	(sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)))
9.0b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0)))) (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))) (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))) (sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (*.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0))))

rewrite41.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

14×	`pow1_binary64`
13×	`add-exp-log_binary64`
11×	`*-un-lft-identity_binary64`
9×	`add-cbrt-cube_binary64`
8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64`
6×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `pow1/3_binary64` `flip-+_binary64` `cbrt-prod_binary64`
1×	`pow1/2_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 61

Calls

4 calls:

23.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0)))) (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))) (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))) (sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (*.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0))))
8.0ms	(sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)))
4.0ms	(cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))
4.0ms	(cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))

series181.0ms (2.4%)

Counts

4 → 12

Calls

4 calls:

66.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0)))) (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))) (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))) (sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (*.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0))))
45.0ms	(sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)))
35.0ms	(cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))
34.0ms	(cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))

simplify97.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5413	1256

prune193.0ms (2.5%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	70	3	73
Fresh	0	5	5
Picked	1	0	1
Done	0	2	2
Total	71	10	81

Merged error: 12.7b

Counts

81 → 10

localize24.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))
0.6b	(cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))
7.1b	(sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)))
9.0b	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0)))) (.f64 (cbrt.f64 (.f64 -2.0 J)) (cbrt.f64 (cos.f64 (/.f64 K 2.0))))) (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))) (sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (*.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0))))

rewrite42.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64`
18×	`add-exp-log_binary64`
11×	`*-un-lft-identity_binary64` `add-cbrt-cube_binary64`
10×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
8×	`add-sqr-sqrt_binary64` `sqrt-prod_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64`
4×	`add-log-exp_binary64` `sqrt-div_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `pow1/3_binary64` `flip-+_binary64` `cbrt-prod_binary64`
1×	`pow1/2_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 64

Calls

4 calls:

24.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0)))) (.f64 (cbrt.f64 (.f64 -2.0 J)) (cbrt.f64 (cos.f64 (/.f64 K 2.0))))) (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))) (sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (*.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0))))
8.0ms	(sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)))
4.0ms	(cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))
4.0ms	(cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))

series179.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

67.0ms	(.f64 (.f64 (.f64 (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0)))) (.f64 (cbrt.f64 (.f64 -2.0 J)) (cbrt.f64 (cos.f64 (/.f64 K 2.0))))) (cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))) (sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (*.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0))))
46.0ms	(sqrt.f64 (+.f64 1.0 (pow.f64 (/.f64 U (.f64 (.f64 2.0 J) (cos.f64 (/.f64 K 2.0)))) 2.0)))
33.0ms	(cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))
33.0ms	(cbrt.f64 (.f64 (.f64 -2.0 J) (cos.f64 (/.f64 K 2.0))))

simplify73.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5025	1329

prune170.0ms (2.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	74	2	76
Fresh	1	6	7
Picked	1	0	1
Done	0	2	2
Total	76	10	86

Merged error: 12.7b

Counts

86 → 10

regimes484.0ms (6.3%)

Accuracy

Total 0.4b remaining (3.1%)

Threshold costs 0.4b (3.1%)

bsearch1.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	45	99
1	45	99

end0.0ms (0%)

sample3.0s (38.7%)

Algorithm

1×

intervals

Results

1.2s	1521×	body	1280	valid
673.0ms	1229×	body	640	valid
471.0ms	4321×	body	80	valid
257.0ms	631×	body	320	valid
80.0ms	298×	body	160	valid
1.0ms	1×	body	1280	invalid

Details

analyze1.8s (23.8%)

sample105.0ms (1.4%)

simplify76.0ms (1%)

prune7.0ms (0.1%)

localize16.0ms (0.2%)

rewrite40.0ms (0.5%)

series153.0ms (2%)

simplify95.0ms (1.2%)

prune208.0ms (2.7%)

localize27.0ms (0.4%)

rewrite35.0ms (0.5%)

series293.0ms (3.8%)

simplify73.0ms (0.9%)

prune236.0ms (3.1%)

localize24.0ms (0.3%)

rewrite41.0ms (0.5%)

series181.0ms (2.4%)

simplify97.0ms (1.3%)

prune193.0ms (2.5%)

localize24.0ms (0.3%)

rewrite42.0ms (0.5%)

series179.0ms (2.3%)

simplify73.0ms (0.9%)

prune170.0ms (2.2%)

regimes484.0ms (6.3%)

bsearch1.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample3.0s (38.7%)

Profiling