Details

analyze143.0ms

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
81.2%	18.7%	0.1%	5
81.2%	15.6%	3.2%	6
81.2%	15.6%	3.2%	7
81.2%	14%	4.8%	8
81.2%	14%	4.8%	9
81.2%	13.3%	5.6%	10
81.2%	13.3%	5.6%	11
81.2%	12.9%	6%	12
81.2%	12.9%	6%	13
81.2%	12.7%	6.1%	14

sample47.0ms

Algorithm

intervals

Results

8.0ms	189×	body	80	valid
8.0ms	21×	body	1280	valid
5.0ms	23×	body	640	valid
4.0ms	13×	body	1280	invalid
3.0ms	16×	body	640	invalid
2.0ms	13×	body	320	valid
1.0ms	27×	body	80	invalid
1.0ms	10×	body	160	valid
1.0ms	6×	body	160	invalid
0.0ms	4×	body	320	invalid

simplify12.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

prune6.0ms

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

localize8.0ms

Local error

Found 1 expressions with local error:

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

series40.0ms

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify62.0ms

Algorithm

egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5794	222

prune83.0ms

Filtered

14 candidates to 21 candidates (-50.0%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	18	3	21
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	18	4	22

Merged error: 0.0b

Counts

22 → 4

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 re))
0.0b	(sqrt.f64 (exp.f64 re))
0.0b	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
0.0b	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64`
13×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
11×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
9×	`associate-l_binary64`
8×	`sqrt-pow1_binary64`
7×	`associate-r_binary64`
6×	`exp-prod_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
2×	`pow1/2_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `*-commutative_binary64`

Counts

4 → 75

Calls

4 calls:

2.0ms	(sqrt.f64 (exp.f64 re))
2.0ms	(sqrt.f64 (exp.f64 re))
10.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
7.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))

series110.0ms

Counts

4 → 12

Calls

4 calls:

13.0ms	(sqrt.f64 (exp.f64 re))
16.0ms	(sqrt.f64 (exp.f64 re))
34.0ms	(.f64 (sqrt.f64 (exp.f64 re)) (.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re))))
47.0ms	(*.f64 (sin.f64 im) (sqrt.f64 (exp.f64 re)))

simplify55.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5150	861

prune269.0ms

Filtered

59 candidates to 87 candidates (-47.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	86	1	87
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	87	4	91

Merged error: 0.0b

Counts

91 → 4

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b	(.f64 (.f64 (sin.f64 im) (fabs.f64 (cbrt.f64 (exp.f64 re)))) (sqrt.f64 (cbrt.f64 (exp.f64 re))))
0.0b	(cbrt.f64 (exp.f64 re))
0.0b	(cbrt.f64 (exp.f64 re))
0.2b	(sqrt.f64 (cbrt.f64 (exp.f64 re)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64` `cbrt-prod_binary64`
12×	`sqrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`pow1_binary64`
9×	`associate-r_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `pow1/3_binary64` `prod-exp_binary64`
2×	`sqrt-pow1_binary64` `rem-sqrt-square_binary64`
1×	`pow1/2_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 64

Calls

4 calls:

16.0ms	(.f64 (.f64 (sin.f64 im) (fabs.f64 (cbrt.f64 (exp.f64 re)))) (sqrt.f64 (cbrt.f64 (exp.f64 re))))
2.0ms	(cbrt.f64 (exp.f64 re))
2.0ms	(cbrt.f64 (exp.f64 re))
2.0ms	(sqrt.f64 (cbrt.f64 (exp.f64 re)))

series270.0ms

Counts

4 → 12

Calls

4 calls:

84.0ms	(.f64 (.f64 (sin.f64 im) (fabs.f64 (cbrt.f64 (exp.f64 re)))) (sqrt.f64 (cbrt.f64 (exp.f64 re))))
65.0ms	(cbrt.f64 (exp.f64 re))
59.0ms	(cbrt.f64 (exp.f64 re))
62.0ms	(sqrt.f64 (cbrt.f64 (exp.f64 re)))

simplify104.0ms

Algorithm

egg-herbie

Counts

76 → 76

Iterations

Useful iterations: 0 (85.0ms)

Iter	Nodes	Cost
0	5474	1014

prune467.0ms

Filtered

57 candidates to 76 candidates (-33.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	76	0	76
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	76	4	80

Merged error: 0.0b

Counts

80 → 4

localize25.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
0.4b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.4b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
0.4b	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`pow1/3_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 58

Calls

4 calls:

6.0ms	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
4.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

series399.0ms

Counts

4 → 12

Calls

4 calls:

143.0ms	(.f64 (cbrt.f64 (.f64 (exp.f64 re) (sin.f64 im))) (cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im))))
84.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
85.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))
87.0ms	(cbrt.f64 (*.f64 (exp.f64 re) (sin.f64 im)))

simplify85.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4953	812
1	4953	812

prune200.0ms

Filtered

48 candidates to 70 candidates (-45.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	69	1	70
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	69	5	74

Merged error: 0b

Counts

74 → 5

regimes399.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	8
1	7	8

end0.0ms

sample1.4s

Algorithm

intervals

Results

387.0ms	1056×	body	1280	valid
249.0ms	5478×	body	80	valid
169.0ms	842×	body	640	valid
129.0ms	468×	body	1280	invalid
74.0ms	410×	body	640	invalid
51.0ms	399×	body	320	valid
35.0ms	779×	body	80	invalid
27.0ms	223×	body	320	invalid
20.0ms	225×	body	160	valid
10.0ms	111×	body	160	invalid

Details

analyze143.0ms

sample47.0ms

simplify12.0ms

prune6.0ms

localize8.0ms

rewrite6.0ms

series40.0ms

simplify62.0ms

prune83.0ms

localize11.0ms

rewrite23.0ms

series110.0ms

simplify55.0ms

prune269.0ms

localize18.0ms

rewrite23.0ms

series270.0ms

simplify104.0ms

prune467.0ms

localize25.0ms

rewrite20.0ms

series399.0ms

simplify85.0ms

prune200.0ms

regimes399.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.4s

Profiling