Details

analyze370.0ms

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

sample100.0ms

Algorithm

intervals

Results

26.0ms	50×	body	1280	valid
20.0ms	57×	body	1280	invalid
9.0ms	29×	body	640	valid
8.0ms	138×	body	80	valid
8.0ms	33×	body	640	invalid
5.0ms	27×	body	320	valid
5.0ms	77×	body	80	invalid
4.0ms	21×	body	320	invalid
2.0ms	12×	body	160	valid
1.0ms	11×	body	160	invalid

simplify96.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (93.0ms)

Iter	Nodes	Cost
0	5415	11

prune10.0ms

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))

series19.0ms

Counts

2 → 6

Calls

2 calls:

14.0ms	(.f64 (.f64 1/2 (sin.f64 re)) (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im)))
4.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))

simplify61.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5332	440

prune180.0ms

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 3 expressions with local error:

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

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64`
9×	`add-exp-log_binary64`
8×	`pow1_binary64`
6×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
5×	`add-log-exp_binary64`
4×	`cbrt-unprod_binary64` `prod-exp_binary64`
3×	`pow-prod-down_binary64` `associate-/r_binary64` `associate-l*_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`flip3-+_binary64` `associate-r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `div-inv_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

3 → 50

Calls

3 calls:

9.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
6.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
7.0ms	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))

series44.0ms

Counts

3 → 9

Calls

3 calls:

24.0ms	(+.f64 (/.f64 (.f64 1/2 (sin.f64 re)) (exp.f64 im)) (.f64 (exp.f64 im) (*.f64 1/2 (sin.f64 re))))
10.0ms	(/.f64 (*.f64 1/2 (sin.f64 re)) (exp.f64 im))
10.0ms	(.f64 (exp.f64 im) (.f64 1/2 (sin.f64 re)))

simplify37.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5046	608

prune52.0ms

Filtered

41 candidates to 59 candidates (-43.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	59	2	61

Merged error: 0b

Counts

61 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
0.0b	(+.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))))

rewrite73.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

11.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
11.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
23.0ms	(.f64 (sqrt.f64 (+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))) (.f64 1/2 (sin.f64 re)))
23.0ms	(.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))))

series52.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(+.f64 (exp.f64 (neg.f64 im)) (exp.f64 im))
3.0ms	(+.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)))
25.0ms	(.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))))

simplify63.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4886	1227
1	4886	1227

prune61.0ms

Filtered

57 candidates to 93 candidates (-63.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	93	0	93
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	93	2	95

Merged error: 0b

Counts

95 → 2

regimes128.0ms

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

804.0ms	1485×	body	1280	valid
531.0ms	1462×	body	1280	invalid
384.0ms	1281×	body	640	valid
295.0ms	1211×	body	640	invalid
267.0ms	4349×	body	80	valid
151.0ms	2296×	body	80	invalid
117.0ms	591×	body	320	valid
108.0ms	616×	body	320	invalid
41.0ms	294×	body	160	valid
41.0ms	333×	body	160	invalid

Details

analyze370.0ms

sample100.0ms

simplify96.0ms

prune10.0ms

localize9.0ms

rewrite17.0ms

series19.0ms

simplify61.0ms

prune180.0ms

localize8.0ms

rewrite23.0ms

series44.0ms

simplify37.0ms

prune52.0ms

localize12.0ms

rewrite73.0ms

series52.0ms

simplify63.0ms

prune61.0ms

regimes128.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.0s

Profiling