Details

analyze356.0ms

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

sample86.0ms

Algorithm

intervals

Results

29.0ms	58×	body	1280	valid
14.0ms	41×	body	1280	invalid
9.0ms	33×	body	640	valid
7.0ms	34×	body	640	invalid
7.0ms	134×	body	80	valid
4.0ms	22×	body	320	valid
3.0ms	16×	body	320	invalid
1.0ms	9×	body	160	valid
1.0ms	9×	body	160	invalid
1.0ms	12×	body	80	invalid

simplify165.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (155.0ms)

Iter	Nodes	Cost
0	5291	18

prune5.0ms

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

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
2×	`flip3-+_binary64` `distribute-lft-out_binary64` `associate-*r/_binary64` `flip-+_binary64`
1×	`distribute-lft-in_binary64` `associate-l_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
10.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

series83.0ms

Counts

2 → 6

Calls

2 calls:

16.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
67.0ms	(.f64 (.f64 1/2 (cos.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))

simplify97.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4991	713
1	4991	713

prune24.0ms

Filtered

26 candidates to 41 candidates (-57.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
0.1b	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cos.f64 re))
0.5b	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cos.f64 re)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`*-un-lft-identity_binary64`
14×	`unpow-prod-down_binary64`
12×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
11×	`log-prod_binary64`
9×	`add-log-exp_binary64`
8×	`sqrt-prod_binary64` `exp-prod_binary64`
7×	`pow-pow_binary64` `add-exp-log_binary64`
6×	`pow1_binary64`
5×	`sqrt-pow1_binary64`
4×	`add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `distribute-lft-out_binary64` `rem-log-exp_binary64` `exp-sum_binary64`
2×	`pow-to-exp_binary64` `sqr-pow_binary64` `rem-exp-log_binary64` `pow-exp_binary64` `sum-log_binary64`
1×	`flip3-+_binary64` `pow1/2_binary64` `sqrt-pow2_binary64` `log-pow_binary64` `+-commutative_binary64` `flip-+_binary64`

Counts

4 → 76

Calls

4 calls:

6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
7.0ms	(exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
9.0ms	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cos.f64 re))
8.0ms	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cos.f64 re)))

series359.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
40.0ms	(exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
138.0ms	(pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cos.f64 re))
167.0ms	(log.f64 (pow.f64 (sqrt.f64 (exp.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))) (cos.f64 re)))

simplify89.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4932	1865
1	4932	1865

prune48.0ms

Filtered

54 candidates to 88 candidates (-63.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	88	2	90

Merged error: 0b

Counts

90 → 2

regimes47.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify5.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	21	18
1	21	18

end0.0ms

sample2.7s

Algorithm

intervals

Results

764.0ms	1489×	body	1280	valid
508.0ms	1514×	body	1280	invalid
331.0ms	1234×	body	640	valid
288.0ms	1254×	body	640	invalid
238.0ms	4308×	body	80	valid
116.0ms	639×	body	320	valid
96.0ms	607×	body	320	invalid
40.0ms	330×	body	160	valid
34.0ms	516×	body	80	invalid
32.0ms	287×	body	160	invalid

Details

analyze356.0ms

sample86.0ms

simplify165.0ms

prune5.0ms

localize11.0ms

rewrite17.0ms

series83.0ms

simplify97.0ms

prune24.0ms

localize17.0ms

rewrite32.0ms

series359.0ms

simplify89.0ms

prune48.0ms

regimes47.0ms

bsearch0.0ms

simplify5.0ms

end0.0ms

sample2.7s

Profiling