Details

analyze358.0ms

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
25%	74.9%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	37.5%	0.1%	6
62.4%	31.2%	6.3%	7
62.4%	31.2%	6.3%	8
62.4%	28.1%	9.5%	9
62.4%	28.1%	9.5%	10
62.4%	26.5%	11%	11
62.4%	26.5%	11%	12
62.4%	25.8%	11.8%	13
62.4%	25.8%	11.8%	14

sample99.0ms

Algorithm

intervals

Results

27.0ms	50×	body	1280	valid
16.0ms	47×	body	1280	invalid
12.0ms	34×	body	640	valid
9.0ms	152×	body	80	valid
8.0ms	36×	body	640	invalid
5.0ms	74×	body	80	invalid
3.0ms	15×	body	320	valid
3.0ms	16×	body	320	invalid
1.0ms	10×	body	160	invalid
1.0ms	5×	body	160	valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	5415	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: 0.0b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

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

11.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
6.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

series22.0ms

Counts

2 → 6

Calls

2 calls:

17.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
5.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify62.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5332	440

prune23.0ms

Filtered

27 candidates to 41 candidates (-51.9%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	40	2	42

Merged error: 0b

Counts

42 → 2

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))
0.0b	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1_binary64` `add-cbrt-cube_binary64`
5×	`add-exp-log_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `associate-l*_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
1×	`flip3-+_binary64` `associate-r_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 29

Calls

2 calls:

7.0ms	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))
9.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))

series33.0ms

Counts

2 → 6

Calls

2 calls:

11.0ms	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))
22.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))

simplify48.0ms

Algorithm

egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4982	404
1	4982	404

prune20.0ms

Filtered

26 candidates to 35 candidates (-34.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	0	35
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Merged error: 0b

Counts

37 → 2

localize12.0ms

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)))
0.4b	(.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 1/2 (sin.f64 re)))
0.5b	(.f64 (.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 1/2 (sin.f64 re))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

rewrite49.0ms

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`
12×	`add-sqr-sqrt_binary64`
10×	`add-cube-cbrt_binary64` `associate-*l/_binary64`
9×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `flip-+_binary64`
8×	`associate-r_binary64` `associate-l_binary64`
4×	`add-log-exp_binary64` `distribute-lft-out_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `associate-r/_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `-commutative_binary64`

Counts

4 → 89

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
8.0ms	(sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
12.0ms	(.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 1/2 (sin.f64 re)))
20.0ms	(.f64 (.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 1/2 (sin.f64 re))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

series49.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
7.0ms	(sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
21.0ms	(.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 1/2 (sin.f64 re)))
15.0ms	(.f64 (.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (*.f64 1/2 (sin.f64 re))) (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))))

simplify36.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	4962	1345
1	4962	1345

prune37.0ms

Filtered

61 candidates to 101 candidates (-65.6%)

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

regimes91.0ms

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	12	15
1	12	15

end0.0ms

sample3.0s

Algorithm

intervals

Results

770.0ms	1438×	body	1280	valid
517.0ms	1468×	body	1280	invalid
379.0ms	1286×	body	640	valid
298.0ms	1238×	body	640	invalid
272.0ms	4317×	body	80	valid
151.0ms	2413×	body	80	invalid
124.0ms	668×	body	320	valid
117.0ms	664×	body	320	invalid
38.0ms	297×	body	160	invalid
36.0ms	291×	body	160	valid

Details

analyze358.0ms

sample99.0ms

simplify98.0ms

prune5.0ms

localize9.0ms

rewrite17.0ms

series22.0ms

simplify62.0ms

prune23.0ms

localize8.0ms

rewrite17.0ms

series33.0ms

simplify48.0ms

prune20.0ms

localize12.0ms

rewrite49.0ms

series49.0ms

simplify36.0ms

prune37.0ms

regimes91.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.0s

Profiling