Details

analyze550.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
6.2%	93.6%	0.2%	8
25%	74.9%	0.2%	9
28.1%	71.7%	0.2%	10
29.6%	70.2%	0.2%	11
53%	46.8%	0.2%	12
71.3%	28.5%	0.2%	13
71.7%	28.1%	0.2%	14

sample20.0ms

Algorithm

intervals

Results

11.0ms	256×	body	80	valid
1.0ms	14×	body	80	invalid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	16	22
1	16	22

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: 24.4b

Counts

2 → 1

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.7b	(+.f64 (.f64 a c) (.f64 b d))
24.0b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590` `add-sqr-sqrt_binary64_575`
9×	`times-frac_binary64_585`
7×	`add-log-exp_binary64_555`
5×	`add-cbrt-cube_binary64_562` `add-exp-log_binary64_554`
4×	`flip-+_binary64_615` `flip3-+_binary64_588`
3×	`pow1_binary64_532` `associate-/l_binary64_654` `associate-/r_binary64_653`
2×	`+-commutative_binary64_657` `associate-/r/_binary64_655` `associate-/l/_binary64_656` `sum-log_binary64_500`
1×	`div-inv_binary64_591` `cbrt-undiv_binary64_560` `frac-2neg_binary64_583` `clear-num_binary64_593` `div-exp_binary64_539`

Counts

3 → 53

Calls

3 calls:

4.0ms	(+.f64 (.f64 c c) (.f64 d d))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))
9.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

series152.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+.f64 (.f64 c c) (.f64 d d))
39.0ms	(+.f64 (.f64 a c) (.f64 b d))
93.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (+.f64 (.f64 c c) (.f64 d d)))

simplify68.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5213	1420

prune74.0ms

Filtered

48 candidates to 62 candidates (-29.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	52	10	62
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	53	10	63

Merged error: 23.8b

Counts

63 → 10

localize12.0ms

Local error

Found 4 expressions with local error:

0.7b	(+.f64 (.f64 a c) (.f64 b d))
12.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
29.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_575`
21×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590`
18×	`times-frac_binary64_585` `sqrt-prod_binary64_569`
6×	`add-cbrt-cube_binary64_562` `add-exp-log_binary64_554` `add-log-exp_binary64_555` `pow1_binary64_532` `sqrt-div_binary64_570` `associate-/r*_binary64_653`
5×	`flip-+_binary64_615` `flip3-+_binary64_588`
3×	`associate-/l*_binary64_654`
2×	`rem-sqrt-square_binary64_578` `associate-/r/_binary64_655` `pow1/2_binary64_522` `associate-/l/_binary64_656` `sqrt-pow1_binary64_571`
1×	`+-commutative_binary64_657` `div-inv_binary64_591` `cbrt-undiv_binary64_560` `frac-2neg_binary64_583` `clear-num_binary64_593` `sum-log_binary64_500` `div-exp_binary64_539`

Counts

4 → 84

Calls

4 calls:

4.0ms	(+.f64 (.f64 a c) (.f64 b d))
10.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

38.0ms	(+.f64 (.f64 a c) (.f64 b d))
121.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
24.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
26.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify79.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	4992	2326
1	4992	2326

prune92.0ms

Filtered

76 candidates to 96 candidates (-26.3%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	88	8	96
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	93	13	106

Merged error: 21.8b

Counts

106 → 13

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(+.f64 (.f64 a c) (.f64 b d))
12.3b	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
29.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.4b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64_575`
21×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590`
18×	`times-frac_binary64_585` `sqrt-prod_binary64_569`
6×	`add-cbrt-cube_binary64_562` `add-exp-log_binary64_554` `add-log-exp_binary64_555` `pow1_binary64_532` `sqrt-div_binary64_570` `associate-/r*_binary64_653`
5×	`flip-+_binary64_615` `flip3-+_binary64_588`
3×	`associate-/l*_binary64_654`
2×	`rem-sqrt-square_binary64_578` `associate-/r/_binary64_655` `pow1/2_binary64_522` `associate-/l/_binary64_656` `sqrt-pow1_binary64_571`
1×	`+-commutative_binary64_657` `div-inv_binary64_591` `cbrt-undiv_binary64_560` `frac-2neg_binary64_583` `clear-num_binary64_593` `sum-log_binary64_500` `div-exp_binary64_539`

Counts

4 → 84

Calls

4 calls:

4.0ms	(+.f64 (.f64 a c) (.f64 b d))
10.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
6.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
4.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

series210.0ms

Counts

4 → 12

Calls

4 calls:

34.0ms	(+.f64 (.f64 a c) (.f64 b d))
124.0ms	(/.f64 (+.f64 (.f64 a c) (.f64 b d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
26.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
26.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify80.0ms

Algorithm

egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4992	2326
1	4992	2326

prune88.0ms

Filtered

76 candidates to 96 candidates (-26.3%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	0	12	12
Picked	0	1	1
Done	0	0	0
Total	95	14	109

Merged error: 21.8b

Counts

109 → 14

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.3b	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d))))
0.7b	(+.f64 (.f64 a c) (.f64 b d))
23.9b	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

90×	`times-frac_binary64_585`
56×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590` `add-sqr-sqrt_binary64_575`
18×	`associate-/r*_binary64_653`
17×	`add-exp-log_binary64_554`
11×	`add-cbrt-cube_binary64_562` `associate-/r/_binary64_655`
8×	`flip-+_binary64_615` `add-log-exp_binary64_555` `flip3-+_binary64_588` `div-exp_binary64_539`
6×	`div-inv_binary64_591` `associate-/l*_binary64_654`
5×	`pow1_binary64_532`
4×	`cbrt-undiv_binary64_560`
2×	`+-commutative_binary64_657` `rec-exp_binary64_538` `frac-2neg_binary64_583` `associate-/l/_binary64_656` `clear-num_binary64_593` `1-exp_binary64_550` `sum-log_binary64_500`
1×	`pow-flip_binary64_516` `inv-pow_binary64_508`

Counts

4 → 137

Calls

4 calls:

4.0ms	(+.f64 (.f64 c c) (.f64 d d))
11.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d))))
4.0ms	(+.f64 (.f64 a c) (.f64 b d))
9.0ms	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))

series246.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(+.f64 (.f64 c c) (.f64 d d))
126.0ms	(/.f64 1 (/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d))))
34.0ms	(+.f64 (.f64 a c) (.f64 b d))
62.0ms	(/.f64 (+.f64 (.f64 c c) (.f64 d d)) (+.f64 (.f64 a c) (.f64 b d)))

simplify139.0ms

Algorithm

egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4964	4822
1	4964	4822

prune94.0ms

Filtered

103 candidates to 149 candidates (-44.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	148	1	149
Fresh	0	12	12
Picked	0	1	1
Done	0	1	1
Total	148	15	163

Merged error: 21.8b

Counts

163 → 15

regimes147.0ms

Accuracy

11% (2.6b remaining)

Error of 25.8b against oracle of 23.2b and baseline of 26.1b

bsearch1.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	83
1	29	83

end0.0ms

sample586.0ms

Algorithm

intervals

Results

351.0ms	8000×	body	80	valid
20.0ms	466×	body	80	invalid

Details

analyze550.0ms

sample20.0ms

simplify11.0ms

prune1.0ms

localize9.0ms

rewrite19.0ms

series152.0ms

simplify68.0ms

prune74.0ms

localize12.0ms

rewrite24.0ms

series210.0ms

simplify79.0ms

prune92.0ms

localize14.0ms

rewrite27.0ms

series210.0ms

simplify80.0ms

prune88.0ms

localize14.0ms

rewrite34.0ms

series246.0ms

simplify139.0ms

prune94.0ms

regimes147.0ms

bsearch1.0ms

simplify3.0ms

end0.0ms

sample586.0ms

Profiling