Details

analyze587.0ms

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
3.1%	96.7%	0.2%	8
7.8%	92%	0.2%	9
11.7%	88.1%	0.2%	10
24.2%	64.7%	11.1%	11
27.9%	59.8%	12.3%	12
35%	52.5%	12.5%	13
38.6%	48.2%	13.2%	14

sample19.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	74×	body	80	invalid

simplify17.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	30	13
1	30	13

prune2.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
0.1b	(.f64 (+.f64 (.f64 x y) z) y)

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `flip-+_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 31

Calls

2 calls:

8.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series92.0ms

Counts

2 → 6

Calls

2 calls:

55.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
37.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify44.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5052	559

prune28.0ms

Filtered

28 candidates to 37 candidates (-32.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	33	4	37
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	33	5	38

Merged error: 0b

Counts

38 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
0.3b	(.f64 (.f64 x y) (*.f64 x y))
6.7b	(.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 z z)))
16.6b	(/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z))

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

45×	`pow1_binary64`
23×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
18×	`pow-prod-down_binary64`
10×	`cbrt-unprod_binary64` `prod-exp_binary64` `add-sqr-sqrt_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
6×	`add-log-exp_binary64`
5×	`associate-r_binary64`
4×	`flip3--_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `associate-l*_binary64` `pow-sqr_binary64` `flip--_binary64`
3×	`associate-/r*_binary64` `sub-neg_binary64` `times-frac_binary64`
2×	`associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `pow-plus_binary64` `difference-of-squares_binary64` `div-exp_binary64` `*-commutative_binary64`
1×	`swap-sqr_binary64` `diff-log_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `pow2_binary64`

Counts

4 → 94

Calls

4 calls:

7.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
7.0ms	(.f64 (.f64 x y) (*.f64 x y))
12.0ms	(.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 z z)))
14.0ms	(/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z))

series231.0ms

Counts

4 → 12

Calls

4 calls:

52.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
26.0ms	(.f64 (.f64 x y) (*.f64 x y))
73.0ms	(.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 z z)))
79.0ms	(/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z))

simplify79.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4967	1655
1	4967	1655

prune58.0ms

Filtered

66 candidates to 106 candidates (-60.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	106	5	111

Merged error: 0b

Counts

111 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b	(.f64 y (+.f64 (.f64 x y) z))
0.2b	(.f64 (sqrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (sqrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
5.9b	(sqrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
5.9b	(sqrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*r/_binary64`
16×	`sqrt-div_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`pow1/2_binary64`
10×	`*-un-lft-identity_binary64` `pow-prod-up_binary64` `add-cube-cbrt_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`pow-sqr_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `frac-times_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`rem-square-sqrt_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `pow2_binary64`

Counts

4 → 105

Calls

4 calls:

7.0ms	(.f64 y (+.f64 (.f64 x y) z))
15.0ms	(.f64 (sqrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (sqrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
7.0ms	(sqrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
5.0ms	(sqrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

series184.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(.f64 y (+.f64 (.f64 x y) z))
43.0ms	(.f64 (sqrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (sqrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
58.0ms	(sqrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
58.0ms	(sqrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

simplify63.0ms

Algorithm

egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5093	1697

prune64.0ms

Filtered

79 candidates to 117 candidates (-48.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	117	5	122

Merged error: 0b

Counts

122 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (*.f64 x y) z))
0.0b	(sqrt.f64 (+.f64 (*.f64 x y) z))
0.1b	(.f64 y (sqrt.f64 (+.f64 (.f64 x y) z)))
0.1b	(.f64 (sqrt.f64 (+.f64 (.f64 x y) z)) (.f64 y (sqrt.f64 (+.f64 (.f64 x y) z))))

rewrite34.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64` `sqrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `associate-l_binary64` `flip-+_binary64`
7×	`associate-r_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

6.0ms	(sqrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(sqrt.f64 (+.f64 (*.f64 x y) z))
8.0ms	(.f64 y (sqrt.f64 (+.f64 (.f64 x y) z)))
13.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) z)) (.f64 y (sqrt.f64 (+.f64 (.f64 x y) z))))

series201.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(sqrt.f64 (+.f64 (*.f64 x y) z))
50.0ms	(sqrt.f64 (+.f64 (*.f64 x y) z))
59.0ms	(.f64 y (sqrt.f64 (+.f64 (.f64 x y) z)))
38.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 x y) z)) (.f64 y (sqrt.f64 (+.f64 (.f64 x y) z))))

simplify58.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5303	1689

prune54.0ms

Filtered

67 candidates to 95 candidates (-41.8%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	95	5	100

Merged error: 0b

Counts

100 → 5

regimes77.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

sample517.0ms

Algorithm

intervals

Results

227.0ms	8000×	body	80	valid
53.0ms	1762×	body	80	invalid

Details

analyze587.0ms

sample19.0ms

simplify17.0ms

prune2.0ms

localize6.0ms

rewrite15.0ms

series92.0ms

simplify44.0ms

prune28.0ms

localize11.0ms

rewrite44.0ms

series231.0ms

simplify79.0ms

prune58.0ms

localize9.0ms

rewrite38.0ms

series184.0ms

simplify63.0ms

prune64.0ms

localize9.0ms

rewrite34.0ms

series201.0ms

simplify58.0ms

prune54.0ms

regimes77.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample517.0ms

Profiling