Details

analyze859.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

sample275.0ms

Algorithm

intervals

Results

179.0ms	139×	body	5120	exit
35.0ms	79×	body	1280	nan
19.0ms	256×	body	80	valid
17.0ms	64×	body	640	nan
6.0ms	36×	body	320	nan
1.0ms	6×	body	160	nan
0.0ms	7×	body	80	nan
0.0ms	4×	body	80	overflowed
0.0ms	1×	body	80	invalid

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4891	7
1	4891	7

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.5b

Counts

2 → 2

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
0.5b	(pow.f64 l (exp.f64 w))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

21×	`times-frac_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`unpow-prod-down_binary64`
7×	`associate-/l*_binary64`
5×	`sqr-pow_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `associate-/r*_binary64` `pow1_binary64` `div-exp_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-exp_binary64`
1×	`cbrt-undiv_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

2 → 62

Calls

2 calls:

6.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
2.0ms	(pow.f64 l (exp.f64 w))

series41.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
15.0ms	(pow.f64 l (exp.f64 w))

simplify63.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4970	753
1	4970	753

prune73.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	64	6	70

Merged error: 0.2b

Counts

70 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (exp.f64 w))
0.0b	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
0.4b	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
0.4b	(pow.f64 l (sqrt.f64 (exp.f64 w)))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

53×	`unpow-prod-down_binary64`
38×	`add-sqr-sqrt_binary64`
37×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
33×	`times-frac_binary64`
12×	`pow-unpow_binary64`
11×	`sqr-pow_binary64` `associate-/l*_binary64`
10×	`add-exp-log_binary64`
9×	`sqrt-prod_binary64` `pow-exp_binary64`
6×	`pow1_binary64` `add-cbrt-cube_binary64`
5×	`pow-to-exp_binary64` `div-exp_binary64`
4×	`add-log-exp_binary64` `sqrt-pow1_binary64`
3×	`associate-/r*_binary64` `exp-prod_binary64`
2×	`pow-pow_binary64`
1×	`pow1/2_binary64` `cbrt-undiv_binary64` `rem-sqrt-square_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

4 → 125

Calls

4 calls:

2.0ms	(sqrt.f64 (exp.f64 w))
8.0ms	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
4.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
3.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))

series87.0ms

Counts

4 → 12

Calls

4 calls:

3.0ms	(sqrt.f64 (exp.f64 w))
37.0ms	(/.f64 (pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))) (exp.f64 w))
29.0ms	(pow.f64 (pow.f64 l (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
18.0ms	(pow.f64 l (sqrt.f64 (exp.f64 w)))

simplify71.0ms

Algorithm

egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5172	1646

prune124.0ms

Filtered

94 candidates to 137 candidates (-45.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	132	5	137
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	133	10	143

Merged error: 0.2b

Counts

143 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 w))
0.4b	(pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w)))
0.5b	(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
0.5b	(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

34×	`unpow-prod-down_binary64`
18×	`pow-unpow_binary64`
17×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
14×	`pow-exp_binary64`
10×	`add-exp-log_binary64`
9×	`sqrt-prod_binary64`
6×	`pow-to-exp_binary64` `sqr-pow_binary64` `cbrt-prod_binary64`
5×	`pow1_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-pow_binary64`
1×	`pow1/3_binary64`

Counts

4 → 89

Calls

4 calls:

2.0ms	(cbrt.f64 (exp.f64 w))
6.0ms	(pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w)))
5.0ms	(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
2.0ms	(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))

series134.0ms

Counts

4 → 12

Calls

4 calls:

16.0ms	(cbrt.f64 (exp.f64 w))
61.0ms	(pow.f64 (pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (exp.f64 w)))
41.0ms	(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (sqrt.f64 (cbrt.f64 (exp.f64 w))))
16.0ms	(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))

simplify73.0ms

Algorithm

egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4927	1520
1	4927	1520

prune109.0ms

Filtered

66 candidates to 101 candidates (-53.0%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	96	5	101
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	99	12	111

Merged error: 0.2b

Counts

111 → 12

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 w))
0.0b	(cbrt.f64 (exp.f64 w))
0.5b	(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
0.5b	(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

13×	`unpow-prod-down_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`add-exp-log_binary64`
6×	`cbrt-prod_binary64`
5×	`pow1_binary64` `pow-exp_binary64`
4×	`pow-unpow_binary64` `add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-to-exp_binary64` `sqr-pow_binary64`
2×	`pow1/3_binary64` `pow-pow_binary64`

Counts

4 → 60

Calls

4 calls:

2.0ms	(cbrt.f64 (exp.f64 w))
2.0ms	(cbrt.f64 (exp.f64 w))
4.0ms	(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
2.0ms	(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))

series97.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 (exp.f64 w))
15.0ms	(cbrt.f64 (exp.f64 w))
52.0ms	(pow.f64 (pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w)))) (*.f64 (sqrt.f64 (cbrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w))))
16.0ms	(pow.f64 l (fabs.f64 (cbrt.f64 (exp.f64 w))))

simplify75.0ms

Algorithm

egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4935	837
1	4935	837

prune56.0ms

Filtered

51 candidates to 72 candidates (-41.2%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	70	2	72
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	72	12	84

Merged error: 0.2b

Counts

84 → 12

regimes134.0ms

Accuracy

0% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 0.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	25
1	13	25

end0.0ms

sample8.5s

Algorithm

intervals

Results

5.8s	4596×	body	5120	exit
1.1s	2451×	body	1280	nan
541.0ms	2030×	body	640	nan
489.0ms	8000×	body	80	valid
163.0ms	957×	body	320	nan
32.0ms	323×	body	160	nan
10.0ms	239×	body	80	nan
10.0ms	155×	body	80	overflowed
7.0ms	119×	body	80	invalid
3.0ms	3×	body	2560	nan

Details

analyze859.0ms

sample275.0ms

simplify86.0ms

prune8.0ms

localize6.0ms

rewrite10.0ms

series41.0ms

simplify63.0ms

prune73.0ms

localize9.0ms

rewrite23.0ms

series87.0ms

simplify71.0ms

prune124.0ms

localize14.0ms

rewrite17.0ms

series134.0ms

simplify73.0ms

prune109.0ms

localize15.0ms

rewrite11.0ms

series97.0ms

simplify75.0ms

prune56.0ms

regimes134.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample8.5s

Profiling