Details

analyze145.0ms

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

sample47.0ms

Algorithm

intervals

Results

11.0ms	30×	body	1280	valid
7.0ms	176×	body	80	valid
6.0ms	23×	body	1280	invalid
5.0ms	28×	body	640	valid
3.0ms	19×	body	640	invalid
2.0ms	15×	body	320	valid
1.0ms	7×	body	160	invalid
1.0ms	7×	body	160	valid
1.0ms	5×	body	320	invalid
0.0ms	9×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	6	5
1	6	5

prune3.0ms

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

localize6.0ms

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))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

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

simplify84.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4917	134
1	4917	134

prune21.0ms

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: 0.0b

Counts

22 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.3b	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
0.3b	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
8×	`pow1_binary64` `add-cbrt-cube_binary64` `cbrt-prod_binary64`
7×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-exp-log_binary64`
3×	`pow-unpow_binary64` `add-log-exp_binary64` `associate-r_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `rem-cube-cbrt_binary64` `unpow-prod-down_binary64` `prod-exp_binary64` `cube-prod_binary64` `pow-exp_binary64` `unpow3_binary64` `cube-mult_binary64`
1×	`pow-to-exp_binary64` `rem-cbrt-cube_binary64` `pow1/3_binary64` `unswap-sqr_binary64` `*-commutative_binary64`

Counts

3 → 57

Calls

3 calls:

5.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
2.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
5.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)

series34.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
8.0ms	(cbrt.f64 (pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3))
17.0ms	(pow.f64 (*.f64 (exp.f64 re) (cos.f64 im)) 3)

simplify34.0ms

Algorithm

egg-herbie

Counts

66 → 66

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5221	453

prune66.0ms

Filtered

45 candidates to 66 candidates (-46.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	66	0	66
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	66	3	69

Merged error: 0.0b

Counts

69 → 3

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(*.f64 (exp.f64 re) (cos.f64 im))
0.1b	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
0.2b	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64`
3×	`associate-r_binary64` `log-prod_binary64` `log-pow_binary64` `associate-l_binary64`
2×	`exp-to-pow_binary64` `exp-prod_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `rem-log-exp_binary64` `rem-exp-log_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 42

Calls

3 calls:

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

series31.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(*.f64 (exp.f64 re) (cos.f64 im))
12.0ms	(exp.f64 (*.f64 (exp.f64 re) (cos.f64 im)))
10.0ms	(log.f64 (exp.f64 (*.f64 (exp.f64 re) (cos.f64 im))))

simplify52.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5062	330

prune51.0ms

Filtered

33 candidates to 51 candidates (-54.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	50	1	51
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	51	3	54

Merged error: 0b

Counts

54 → 3

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b	(exp.f64 (exp.f64 re))
0.1b	(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
0.2b	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`log-prod_binary64`
6×	`unpow-prod-down_binary64` `exp-prod_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow-pow_binary64` `add-exp-log_binary64`
3×	`pow-unpow_binary64` `rem-log-exp_binary64` `add-cbrt-cube_binary64`
2×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`
1×	`log-pow_binary64` `rem-exp-log_binary64`

Counts

3 → 49

Calls

3 calls:

2.0ms	(exp.f64 (exp.f64 re))
4.0ms	(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
3.0ms	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))

series40.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(exp.f64 (exp.f64 re))
16.0ms	(pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im))
19.0ms	(log.f64 (pow.f64 (exp.f64 (exp.f64 re)) (cos.f64 im)))

simplify48.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4922	403
1	4922	403

prune37.0ms

Filtered

36 candidates to 58 candidates (-61.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	58	3	61

Merged error: 0b

Counts

61 → 3

regimes183.0ms

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	6	5
1	6	5

end0.0ms

sample1.3s

Algorithm

intervals

Results

385.0ms	1067×	body	1280	valid
229.0ms	5492×	body	80	valid
167.0ms	844×	body	640	valid
132.0ms	500×	body	1280	invalid
74.0ms	438×	body	640	invalid
55.0ms	413×	body	320	valid
20.0ms	170×	body	320	invalid
16.0ms	184×	body	160	valid
8.0ms	96×	body	160	invalid
7.0ms	150×	body	80	invalid

Details

analyze145.0ms

sample47.0ms

simplify5.0ms

prune3.0ms

localize6.0ms

rewrite6.0ms

series9.0ms

simplify84.0ms

prune21.0ms

localize8.0ms

rewrite14.0ms

series34.0ms

simplify34.0ms

prune66.0ms

localize9.0ms

rewrite11.0ms

series31.0ms

simplify52.0ms

prune51.0ms

localize18.0ms

rewrite11.0ms

series40.0ms

simplify48.0ms

prune37.0ms

regimes183.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample1.3s

Profiling