Details

analyze350.0ms

Algorithm

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
50%	50%	0.1%	5
50%	50%	0.1%	6
50%	37.5%	12.6%	7
50%	37.5%	12.6%	8
50%	31.2%	18.8%	9
50%	31.2%	18.8%	10
50%	28.1%	22%	11
50%	28.1%	22%	12
50%	26.5%	23.5%	13
50%	26.5%	23.5%	14

sample150.0ms

Algorithm

intervals

Results

77.0ms	147×	body	1280	valid
20.0ms	65×	body	640	valid
19.0ms	59×	body	1280	invalid
8.0ms	39×	body	640	invalid
6.0ms	31×	body	320	valid
2.0ms	16×	body	320	invalid
1.0ms	13×	body	160	invalid
1.0ms	11×	body	160	valid
1.0ms	13×	body	80	invalid
0.0ms	2×	body	80	valid

simplify77.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5348	12

prune3.0ms

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: 57.5b

Counts

2 → 1

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 0.5 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))
5.0b	(-.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64`
5×	`associate-r_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `sub-neg_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
2×	`flip3--_binary64` `associate-*r/_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64`
1×	`diff-log_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `*-commutative_binary64`

Counts

2 → 37

Calls

2 calls:

13.0ms	(.f64 (.f64 0.5 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))
9.0ms	(-.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))

series23.0ms

Counts

2 → 6

Calls

2 calls:

18.0ms	(.f64 (.f64 0.5 (cos.f64 re)) (-.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im)))
5.0ms	(-.f64 (exp.f64 (-.f64 0.0 im)) (exp.f64 im))

simplify62.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5332	526

prune69.0ms

Filtered

31 candidates to 43 candidates (-38.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	39	4	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	4	44

Merged error: 0.1b

Counts

44 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
0.0b	(*.f64 1/60 (pow.f64 im 5))
0.1b	(*.f64 (pow.f64 im 3) -1/3)
0.2b	(.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64`
19×	`add-exp-log_binary64`
16×	`associate-l_binary64`
13×	`associate-r_binary64` `add-cbrt-cube_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`pow1_binary64` `prod-exp_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`add-log-exp_binary64`
5×	`cbrt-unprod_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow-prod-down_binary64` `*-commutative_binary64`
2×	`pow-to-exp_binary64` `associate-*r/_binary64` `pow-exp_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `flip-+_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 89

Calls

4 calls:

6.0ms	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
6.0ms	(*.f64 1/60 (pow.f64 im 5))
6.0ms	(*.f64 (pow.f64 im 3) -1/3)
13.0ms	(.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))

series74.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
10.0ms	(*.f64 1/60 (pow.f64 im 5))
5.0ms	(*.f64 (pow.f64 im 3) -1/3)
43.0ms	(.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))

simplify36.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5106	1159

prune135.0ms

Filtered

65 candidates to 101 candidates (-55.4%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	96	9	105

Merged error: 0.1b

Counts

105 → 9

localize22.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (.f64 im -2)))) (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))))
0.6b	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
0.6b	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
0.6b	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (.f64 im -2)))) (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))))
11.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
11.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
12.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))

series564.0ms

Counts

4 → 12

Calls

4 calls:

260.0ms	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (.f64 im -2)))) (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))))
101.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
99.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
103.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))

simplify83.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4950	2709
1	4950	2709

prune291.0ms

Filtered

67 candidates to 84 candidates (-25.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	79	5	84
Fresh	1	6	7
Picked	0	1	1
Done	0	1	1
Total	80	13	93

Merged error: 0.0b

Counts

93 → 13

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (.f64 im -2)))) (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))))
0.6b	(cbrt.f64 (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))
0.6b	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
0.6b	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))

rewrite46.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-div_binary64` `associate-*r/_binary64`
11×	`pow1_binary64` `add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1/3_binary64` `add-cube-cbrt_binary64` `flip-+_binary64` `cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 74

Calls

4 calls:

12.0ms	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (.f64 im -2)))) (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))))
8.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))
12.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
12.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))

series485.0ms

Counts

4 → 12

Calls

4 calls:

263.0ms	(.f64 (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (.f64 im -2)))) (cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))))
23.0ms	(cbrt.f64 (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2)))
99.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))
99.0ms	(cbrt.f64 (.f64 (.f64 0.5 (cos.f64 re)) (+.f64 (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))) (*.f64 im -2))))

simplify54.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5049	2738

prune268.0ms

Filtered

69 candidates to 86 candidates (-24.6%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	85	1	86
Fresh	0	10	10
Picked	0	1	1
Done	0	2	2
Total	85	14	99

Merged error: 0.0b

Counts

99 → 14

regimes432.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.1b and baseline of 0.8b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	20
1	50	20

end0.0ms

sample4.3s

Algorithm

intervals

Results

2.2s	4242×	body	1280	valid
712.0ms	2332×	body	640	valid
513.0ms	1542×	body	1280	invalid
248.0ms	1150×	body	640	invalid
185.0ms	886×	body	320	valid
101.0ms	632×	body	320	invalid
48.0ms	402×	body	160	valid
34.0ms	313×	body	160	invalid
31.0ms	510×	body	80	invalid
8.0ms	138×	body	80	valid

Details

analyze350.0ms

sample150.0ms

simplify77.0ms

prune3.0ms

localize15.0ms

rewrite23.0ms

series23.0ms

simplify62.0ms

prune69.0ms

localize18.0ms

rewrite34.0ms

series74.0ms

simplify36.0ms

prune135.0ms

localize22.0ms

rewrite49.0ms

series564.0ms

simplify83.0ms

prune291.0ms

localize26.0ms

rewrite46.0ms

series485.0ms

simplify54.0ms

prune268.0ms

regimes432.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample4.3s

Profiling