Details

analyze349.0ms

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

sample77.0ms

Algorithm

intervals

Results

28.0ms	71×	body	1024	valid
15.0ms	58×	body	1024	invalid
7.0ms	133×	body	128	valid
6.0ms	33×	body	512	invalid
5.0ms	27×	body	512	valid
3.0ms	25×	body	256	valid
2.0ms	15×	body	256	invalid
2.0ms	25×	body	128	invalid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	4810	18
1	4810	18

prune1.0ms

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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`-un-lft-identity_binary64` `associate-r*_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`associate-*r/_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `*-commutative_binary64`

Counts

1 → 23

Calls

1 calls:

14.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series119.0ms

Counts

1 → 3

Calls

1 calls:

119.0ms

(*.f64 (*.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify91.0ms

Algorithm

egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4896	501
1	4896	501

prune14.0ms

Filtered

15 candidates to 26 candidates (-73.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	25	1	26
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	25	2	27

Merged error: 0b

Counts

27 → 2

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.0b	(sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.2b	(.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
0.7b	(.f64 (.f64 (*.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

rewrite55.0ms

Algorithm

rewrite-expression-head

Rules

20×	`pow1_binary64`
18×	`*-un-lft-identity_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
16×	`sqrt-prod_binary64`
14×	`associate-r_binary64`
12×	`add-sqr-sqrt_binary64`
10×	`associate-*r/_binary64` `add-cube-cbrt_binary64`
9×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip-+_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `associate-l_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
12.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
20.0ms	(.f64 (.f64 (*.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

series397.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
60.0ms	(sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
165.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))
114.0ms	(.f64 (.f64 (*.f64 1/2 (cos.f64 re)) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

simplify75.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5069	2190

prune61.0ms

Filtered

59 candidates to 101 candidates (-71.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	101	0	101
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	101	2	103

Merged error: 0b

Counts

103 → 2

regimes54.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms

sample2.4s

Algorithm

intervals

Results

816.0ms	1978×	body	1024	valid
519.0ms	2038×	body	1024	invalid
258.0ms	4493×	body	128	valid
202.0ms	1009×	body	512	valid
180.0ms	1003×	body	512	invalid
63.0ms	517×	body	256	valid
56.0ms	488×	body	256	invalid
50.0ms	698×	body	128	invalid
3.0ms	3×	body	2048	valid
0.0ms	1×	body	2048	invalid

Details

analyze349.0ms

sample77.0ms

simplify98.0ms

prune1.0ms

localize9.0ms

rewrite16.0ms

series119.0ms

simplify91.0ms

prune14.0ms

localize14.0ms

rewrite55.0ms

series397.0ms

simplify75.0ms

prune61.0ms

regimes54.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.4s

Profiling