Details

analyze530.0ms

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	19×	body	80	invalid

simplify301.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (292.0ms)

Iter	Nodes	Cost
0	5126	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: 26.6b

Counts

2 → 1

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 c c) (.f64 d d))
0.7b	(-.f64 (.f64 b c) (.f64 a d))
26.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

rewrite20.0ms

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`
3×	`pow1_binary64_532` `associate-/l_binary64_654` `associate-/r_binary64_653`
2×	`flip-+_binary64_615` `flip--_binary64_616` `flip3--_binary64_589` `associate-/r/_binary64_655` `associate-/l/_binary64_656` `flip3-+_binary64_588`
1×	`sub-neg_binary64_594` `+-commutative_binary64_657` `div-inv_binary64_591` `cbrt-undiv_binary64_560` `frac-2neg_binary64_583` `div-sub_binary64_584` `clear-num_binary64_593` `diff-log_binary64_501` `sum-log_binary64_500` `div-exp_binary64_539`

Counts

3 → 54

Calls

3 calls:

4.0ms	(+.f64 (.f64 c c) (.f64 d d))
7.0ms	(-.f64 (.f64 b c) (.f64 a d))
8.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

series160.0ms

Counts

3 → 9

Calls

3 calls:

23.0ms	(+.f64 (.f64 c c) (.f64 d d))
41.0ms	(-.f64 (.f64 b c) (.f64 a d))
96.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (+.f64 (.f64 c c) (.f64 d d)))

simplify83.0ms

Algorithm

egg-herbie

Counts

63 → 63

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5715	1456

prune68.0ms

Filtered

49 candidates to 63 candidates (-28.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	57	6	63
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	57	7	64

Merged error: 25.8b

Counts

64 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (.f64 b c) (.f64 a d))
16.5b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
31.1b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
31.1b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite23.0ms

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`
3×	`flip-+_binary64_615` `associate-/l*_binary64_654` `flip3-+_binary64_588`
2×	`rem-sqrt-square_binary64_578` `flip--_binary64_616` `flip3--_binary64_589` `associate-/r/_binary64_655` `pow1/2_binary64_522` `associate-/l/_binary64_656` `sqrt-pow1_binary64_571`
1×	`sub-neg_binary64_594` `div-inv_binary64_591` `cbrt-undiv_binary64_560` `frac-2neg_binary64_583` `div-sub_binary64_584` `clear-num_binary64_593` `diff-log_binary64_501` `div-exp_binary64_539`

Counts

4 → 85

Calls

4 calls:

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

series231.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(-.f64 (.f64 b c) (.f64 a d))
130.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
26.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
29.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify84.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4933	2368
1	4933	2368

prune81.0ms

Filtered

77 candidates to 97 candidates (-26.0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	94	3	97
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	94	10	104

Merged error: 23.3b

Counts

104 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (.f64 b c) (.f64 a d))
16.5b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
31.1b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
31.1b	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite25.0ms

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`
3×	`flip-+_binary64_615` `associate-/l*_binary64_654` `flip3-+_binary64_588`
2×	`rem-sqrt-square_binary64_578` `flip--_binary64_616` `flip3--_binary64_589` `associate-/r/_binary64_655` `pow1/2_binary64_522` `associate-/l/_binary64_656` `sqrt-pow1_binary64_571`
1×	`sub-neg_binary64_594` `div-inv_binary64_591` `cbrt-undiv_binary64_560` `frac-2neg_binary64_583` `div-sub_binary64_584` `clear-num_binary64_593` `diff-log_binary64_501` `div-exp_binary64_539`

Counts

4 → 85

Calls

4 calls:

4.0ms	(-.f64 (.f64 b c) (.f64 a d))
11.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a 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)))

series232.0ms

Counts

4 → 12

Calls

4 calls:

43.0ms	(-.f64 (.f64 b c) (.f64 a d))
136.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (sqrt.f64 (+.f64 (.f64 c c) (.f64 d d))))
26.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))
27.0ms	(sqrt.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify85.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4933	2368
1	4933	2368

prune83.0ms

Filtered

77 candidates to 97 candidates (-26.0%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	7	7
Picked	0	1	1
Done	0	2	2
Total	97	10	107

Merged error: 23.3b

Counts

107 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

0.7b	(-.f64 (.f64 b c) (.f64 a d))
2.7b	(exp.f64 (log.f64 (+.f64 (.f64 c c) (.f64 d d))))
26.0b	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (exp.f64 (log.f64 (+.f64 (.f64 c c) (.f64 d d)))))
32.3b	(log.f64 (+.f64 (.f64 c c) (.f64 d d)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-cube-cbrt_binary64_561` `*-un-lft-identity_binary64_590` `add-sqr-sqrt_binary64_575`
18×	`times-frac_binary64_585` `log-prod_binary64_504`
15×	`exp-sum_binary64_545`
6×	`add-cbrt-cube_binary64_562` `add-exp-log_binary64_554` `add-log-exp_binary64_555` `pow1_binary64_532` `associate-/r*_binary64_653` `log-div_binary64_505`
4×	`exp-prod_binary64_540` `exp-diff_binary64_547`
3×	`flip-+_binary64_615` `associate-/l*_binary64_654` `flip3-+_binary64_588`
2×	`log-pow_binary64_507` `flip--_binary64_616` `flip3--_binary64_589` `associate-/r/_binary64_655` `associate-/l/_binary64_656`
1×	`sub-neg_binary64_594` `div-inv_binary64_591` `cbrt-undiv_binary64_560` `rem-exp-log_binary64_552` `frac-2neg_binary64_583` `div-sub_binary64_584` `rem-log-exp_binary64_553` `clear-num_binary64_593` `diff-log_binary64_501` `div-exp_binary64_539`

Counts

4 → 86

Calls

4 calls:

4.0ms	(-.f64 (.f64 b c) (.f64 a d))
5.0ms	(exp.f64 (log.f64 (+.f64 (.f64 c c) (.f64 d d))))
11.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (exp.f64 (log.f64 (+.f64 (.f64 c c) (.f64 d d)))))
6.0ms	(log.f64 (+.f64 (.f64 c c) (.f64 d d)))

series195.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(-.f64 (.f64 b c) (.f64 a d))
23.0ms	(exp.f64 (log.f64 (+.f64 (.f64 c c) (.f64 d d))))
98.0ms	(/.f64 (-.f64 (.f64 b c) (.f64 a d)) (exp.f64 (log.f64 (+.f64 (.f64 c c) (.f64 d d)))))
34.0ms	(log.f64 (+.f64 (.f64 c c) (.f64 d d)))

simplify95.0ms

Algorithm

egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	5833	2274

prune56.0ms

Filtered

68 candidates to 98 candidates (-44.1%)

Pruning

12 alts after pruning (8 fresh and 4 done)

	Pruned	Kept	Total
New	96	2	98
Fresh	0	6	6
Picked	0	1	1
Done	0	3	3
Total	96	12	108

Merged error: 23.3b

Counts

108 → 12

regimes122.0ms

Accuracy

26.2% (2.3b remaining)

Error of 25.2b against oracle of 22.9b and baseline of 26.0b

bsearch2.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	56	82
1	56	82

end0.0ms

sample588.0ms

Algorithm

intervals

Results

356.0ms	8000×	body	80	valid
20.0ms	477×	body	80	invalid

Details

analyze530.0ms

sample20.0ms

simplify301.0ms

prune1.0ms

localize10.0ms

rewrite20.0ms

series160.0ms

simplify83.0ms

prune68.0ms

localize13.0ms

rewrite23.0ms

series231.0ms

simplify84.0ms

prune81.0ms

localize14.0ms

rewrite25.0ms

series232.0ms

simplify85.0ms

prune83.0ms

localize14.0ms

rewrite28.0ms

series195.0ms

simplify95.0ms

prune56.0ms

regimes122.0ms

bsearch2.0ms

simplify3.0ms

end0.0ms

sample588.0ms

Profiling