Details

analyze363.0ms

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

sample149.0ms

Algorithm

intervals

Results

70.0ms	139×	body	1280	valid
26.0ms	85×	body	640	valid
23.0ms	59×	body	1280	invalid
6.0ms	28×	body	640	invalid
5.0ms	23×	body	320	valid
3.0ms	21×	body	320	invalid
1.0ms	10×	body	160	invalid
1.0ms	14×	body	80	invalid
1.0ms	6×	body	160	valid
0.0ms	3×	body	80	valid

simplify59.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4765	11
1	4765	11

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 57.9b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.4b	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

rewrite18.0ms

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:

11.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series21.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.0ms	(-.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify47.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5083	476

prune49.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	38	5	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	39	5	44

Merged error: 0.2b

Counts

44 → 5

localize15.0ms

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

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:

5.0ms	(-.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)
14.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))

series66.0ms

Counts

4 → 12

Calls

4 calls:

15.0ms	(-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5)))
6.0ms	(*.f64 1/60 (pow.f64 im 5))
5.0ms	(*.f64 (pow.f64 im 3) -1/3)
41.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (.f64 im -2) (-.f64 (.f64 (pow.f64 im 3) -1/3) (*.f64 1/60 (pow.f64 im 5)))))

simplify54.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4958	1144
1	4958	1144

prune103.0ms

Filtered

65 candidates to 101 candidates (-55.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	94	7	101
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	95	11	106

Merged error: 0.1b

Counts

106 → 11

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

30×	`add-sqr-sqrt_binary64`
23×	`associate-r_binary64`
21×	`add-exp-log_binary64`
19×	`associate-l_binary64`
16×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
15×	`add-cbrt-cube_binary64`
11×	`pow1_binary64`
10×	`prod-exp_binary64`
8×	`unswap-sqr_binary64` `unpow-prod-down_binary64`
6×	`cbrt-unprod_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `sqr-pow_binary64` `cube-prod_binary64` `*-commutative_binary64`
3×	`distribute-lft-neg-in_binary64` `distribute-rgt-neg-in_binary64`
2×	`pow-to-exp_binary64` `sub-neg_binary64` `associate-*r/_binary64` `pow-exp_binary64`
1×	`flip3--_binary64` `distribute-rgt-neg-out_binary64` `neg-mul-1_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip--_binary64` `unpow3_binary64` `cube-mult_binary64`

Counts

4 → 104

Calls

4 calls:

6.0ms	(*.f64 1/60 (pow.f64 im 5))
10.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))))
6.0ms	(*.f64 (pow.f64 im 3) -1/3)
6.0ms	(*.f64 (cos.f64 re) (neg.f64 im))

series75.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(*.f64 1/60 (pow.f64 im 5))
57.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (-.f64 (.f64 (pow.f64 im 3) -1/3) (.f64 1/60 (pow.f64 im 5))))
4.0ms	(*.f64 (pow.f64 im 3) -1/3)
9.0ms	(*.f64 (cos.f64 re) (neg.f64 im))

simplify51.0ms

Algorithm

egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5071	1002

prune111.0ms

Filtered

78 candidates to 116 candidates (-48.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	111	5	116
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	113	14	127

Merged error: 0.0b

Counts

127 → 14

localize19.0ms

Local error

Found 4 expressions with local error:

0.3b	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
0.3b	(cbrt.f64 (cos.f64 re))
0.3b	(cbrt.f64 (cos.f64 re))
0.3b	(cbrt.f64 (cos.f64 re))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `associate-r_binary64` `add-exp-log_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `unswap-sqr_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 73

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
2.0ms	(cbrt.f64 (cos.f64 re))
2.0ms	(cbrt.f64 (cos.f64 re))
4.0ms	(cbrt.f64 (cos.f64 re))

series67.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(*.f64 (cbrt.f64 (cos.f64 re)) (cbrt.f64 (cos.f64 re)))
15.0ms	(cbrt.f64 (cos.f64 re))
15.0ms	(cbrt.f64 (cos.f64 re))
15.0ms	(cbrt.f64 (cos.f64 re))

simplify51.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5046	469

prune59.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	83	2	85
Fresh	2	10	12
Picked	0	1	1
Done	0	1	1
Total	85	14	99

Merged error: 0.0b

Counts

99 → 14

regimes248.0ms

Accuracy

0% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 0.8b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	72	21
1	72	21

end0.0ms

sample4.6s

Algorithm

intervals

Results

2.4s	4222×	body	1280	valid
755.0ms	2364×	body	640	valid
509.0ms	1486×	body	1280	invalid
278.0ms	1234×	body	640	invalid
194.0ms	892×	body	320	valid
98.0ms	587×	body	320	invalid
47.0ms	368×	body	160	valid
38.0ms	335×	body	160	invalid
36.0ms	533×	body	80	invalid
10.0ms	154×	body	80	valid

Details

analyze363.0ms

sample149.0ms

simplify59.0ms

prune5.0ms

localize9.0ms

rewrite18.0ms

series21.0ms

simplify47.0ms

prune49.0ms

localize15.0ms

rewrite34.0ms

series66.0ms

simplify54.0ms

prune103.0ms

localize15.0ms

rewrite31.0ms

series75.0ms

simplify51.0ms

prune111.0ms

localize19.0ms

rewrite15.0ms

series67.0ms

simplify51.0ms

prune59.0ms

regimes248.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample4.6s

Profiling