Details

analyze132.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
50%	50%	0.1%	2
50%	50%	0.1%	3
74.9%	25%	0.1%	4
74.9%	25%	0.1%	5
74.9%	18.7%	6.3%	6
74.9%	18.7%	6.3%	7
74.9%	15.6%	9.5%	8
74.9%	15.6%	9.5%	9
74.9%	14%	11%	10
74.9%	14%	11%	11
74.9%	13.3%	11.8%	12
74.9%	13.3%	11.8%	13
74.9%	12.9%	12.2%	14

sample36.0ms

Algorithm

intervals

Results

10.0ms	37×	body	1024	valid
7.0ms	181×	body	128	valid
4.0ms	22×	body	1024	invalid
4.0ms	27×	body	512	valid
2.0ms	18×	body	512	invalid
1.0ms	11×	body	256	valid
1.0ms	8×	body	256	invalid
0.0ms	9×	body	128	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

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

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))

rewrite6.0ms

Algorithm

rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64`
3×	`-un-lft-identity_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-cbrt-cube_binary64` `associate-l*_binary64`
2×	`add-exp-log_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

1 → 18

Calls

1 calls:

5.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

series58.0ms

Counts

1 → 3

Calls

1 calls:

58.0ms

(*.f64 (exp.f64 re) (cos.f64 im))

simplify85.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4927	219
1	4927	219

prune11.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	19	2	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	3	22

Merged error: 0b

Counts

22 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.2b	(*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cos.f64 im)))
0.3b	(cbrt.f64 (cos.f64 im))
0.3b	(cbrt.f64 (cos.f64 im))
0.3b	(cbrt.f64 (cos.f64 im))

rewrite16.0ms

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:

7.0ms	(*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cos.f64 im)))
1.0ms	(cbrt.f64 (cos.f64 im))
1.0ms	(cbrt.f64 (cos.f64 im))
1.0ms	(cbrt.f64 (cos.f64 im))

series550.0ms

Counts

4 → 12

Calls

4 calls:

186.0ms	(*.f64 (cbrt.f64 (cos.f64 im)) (cbrt.f64 (cos.f64 im)))
122.0ms	(cbrt.f64 (cos.f64 im))
116.0ms	(cbrt.f64 (cos.f64 im))
125.0ms	(cbrt.f64 (cos.f64 im))

simplify79.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5653	772

prune44.0ms

Filtered

55 candidates to 85 candidates (-54.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	85	3	88

Merged error: 0b

Counts

88 → 3

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
1.8b	(log.f64 (cos.f64 im))

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

7×	`*-un-lft-identity_binary64`
5×	`exp-prod_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`log-prod_binary64` `add-exp-log_binary64`
2×	`distribute-lft-out_binary64` `log-pow_binary64` `add-cbrt-cube_binary64` `rem-exp-log_binary64`
1×	`rem-log-exp_binary64` `exp-sum_binary64` `sum-log_binary64`

Counts

2 → 27

Calls

2 calls:

5.0ms	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
2.0ms	(log.f64 (cos.f64 im))

series135.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(exp.f64 (+.f64 re (log.f64 (cos.f64 im))))
76.0ms	(log.f64 (cos.f64 im))

simplify110.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4833	295
1	4833	295

prune14.0ms

Filtered

22 candidates to 33 candidates (-50.0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	33	3	36

Merged error: 0b

Counts

36 → 3

regimes43.0ms

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 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms

sample1.1s

Algorithm

intervals

Results

361.0ms	1326×	body	1024	valid
217.0ms	5678×	body	128	valid
130.0ms	671×	body	1024	invalid
91.0ms	651×	body	512	valid
39.0ms	335×	body	512	invalid
28.0ms	344×	body	256	valid
13.0ms	167×	body	256	invalid
9.0ms	199×	body	128	invalid
1.0ms	1×	body	2048	valid

Details

analyze132.0ms

sample36.0ms

simplify11.0ms

prune1.0ms

localize5.0ms

rewrite6.0ms

series58.0ms

simplify85.0ms

prune11.0ms

localize9.0ms

rewrite16.0ms

series550.0ms

simplify79.0ms

prune44.0ms

localize7.0ms

rewrite8.0ms

series135.0ms

simplify110.0ms

prune14.0ms

regimes43.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.1s

Profiling