Details

analyze576.0ms

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	128	valid
1.0ms	54×	body	128	invalid

simplify9.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

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 3 expressions with local error:

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

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 42

Calls

3 calls:

4.0ms	(+.f64 (*.f64 x y) z)
8.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
7.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series215.0ms

Counts

3 → 9

Calls

3 calls:

44.0ms	(+.f64 (*.f64 x y) z)
98.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
73.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify38.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5301	719

prune40.0ms

Filtered

38 candidates to 51 candidates (-34.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	45	6	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	7	52

Merged error: 0.0b

Counts

52 → 7

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 73

Calls

4 calls:

8.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series646.0ms

Counts

4 → 12

Calls

4 calls:

176.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
154.0ms	(cbrt.f64 y)
153.0ms	(cbrt.f64 y)
163.0ms	(cbrt.f64 y)

simplify64.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4935	588
1	4935	588

prune68.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	85	7	92

Merged error: 0.0b

Counts

92 → 7

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)
0.6b	(cbrt.f64 y)

rewrite8.0ms

Algorithm

rewrite-expression-head

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`

Counts

4 → 44

Calls

4 calls:

1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series620.0ms

Counts

4 → 12

Calls

4 calls:

149.0ms	(cbrt.f64 y)
147.0ms	(cbrt.f64 y)
160.0ms	(cbrt.f64 y)
165.0ms	(cbrt.f64 y)

simplify35.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4983	340
1	4983	340

prune54.0ms

Filtered

48 candidates to 56 candidates (-16.7%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	56	7	63

Merged error: 0.0b

Counts

63 → 7

localize11.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 x y) (*.f64 x y))
1.5b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
6.4b	(.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 z z)))
16.3b	(/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z))

rewrite49.0ms

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 x y) (*.f64 x y))
7.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
11.0ms	(.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))

series423.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(.f64 (.f64 x y) (*.f64 x y))
102.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
129.0ms	(.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 z z)))
146.0ms	(/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z))

simplify69.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4967	1655
1	4967	1655

prune59.0ms

Filtered

66 candidates to 106 candidates (-60.6%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	105	1	106
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	105	8	113

Merged error: 0.0b

Counts

113 → 8

regimes114.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

sample558.0ms

Algorithm

intervals

Results

233.0ms	8000×	body	128	valid
53.0ms	1848×	body	128	invalid

Details

analyze576.0ms

sample19.0ms

simplify9.0ms

prune2.0ms

localize6.0ms

rewrite22.0ms

series215.0ms

simplify38.0ms

prune40.0ms

localize10.0ms

rewrite17.0ms

series646.0ms

simplify64.0ms

prune68.0ms

localize15.0ms

rewrite8.0ms

series620.0ms

simplify35.0ms

prune54.0ms

localize11.0ms

rewrite49.0ms

series423.0ms

simplify69.0ms

prune59.0ms

regimes114.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample558.0ms

Profiling