Details

analyze354.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	5
21.8%	78%	0.1%	6
26.5%	73.3%	0.1%	7
32%	67.9%	0.1%	8
46.4%	52.7%	0.9%	9
50.9%	47.2%	1.9%	10
54.3%	43.3%	2.4%	11
62.1%	32.5%	5.4%	12
64.3%	28.1%	7.6%	13
66.3%	24.6%	9.2%	14

sample19.0ms

Algorithm

intervals

Results

9.0ms	256×	body	80	valid
2.0ms	44×	body	80	invalid

simplify40.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	737	10
1	737	10

prune7.0ms

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: 0.1b

Counts

2 → 2

localize11.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
0.0b	(/.f64 (+.f64 x 4) y)
1.7b	(*.f64 (/.f64 x y) z)

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity_binary64`
25×	`add-sqr-sqrt_binary64`
22×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64`
13×	`associate-l_binary64`
10×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
5×	`add-log-exp_binary64` `pow1_binary64`
4×	`distribute-lft-out_binary64` `associate-/l*_binary64`
3×	`associate-/r_binary64` `associate-r_binary64` `associate-l/_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `div-inv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `sub-div_binary64` `flip--_binary64` `flip-+_binary64` `frac-sub_binary64` `*-commutative_binary64`

Counts

3 → 78

Calls

3 calls:

9.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
6.0ms	(/.f64 (+.f64 x 4) y)
6.0ms	(*.f64 (/.f64 x y) z)

series21.0ms

Counts

3 → 9

Calls

3 calls:

10.0ms	(-.f64 (/.f64 (+.f64 x 4) y) (*.f64 (/.f64 x y) z))
5.0ms	(/.f64 (+.f64 x 4) y)
6.0ms	(*.f64 (/.f64 x y) z)

simplify46.0ms

Algorithm

egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5080	776

prune75.0ms

Filtered

62 candidates to 87 candidates (-40.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	79	8	87
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	80	9	89

Merged error: 0b

Counts

89 → 9

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
1.6b	(*.f64 (/.f64 x y) (-.f64 1 z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

18×	`add-sqr-sqrt_binary64`
13×	`-un-lft-identity_binary64` `associate-l*_binary64`
10×	`add-cube-cbrt_binary64` `times-frac_binary64`
7×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`associate-r_binary64`
5×	`frac-add_binary64`
4×	`add-log-exp_binary64` `sub-neg_binary64` `pow1_binary64` `flip3--_binary64` `associate-*r/_binary64` `flip--_binary64` `frac-times_binary64`
2×	`cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `associate-+r+_binary64` `associate-*l/_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-undiv_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 59

Calls

2 calls:

8.0ms	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
10.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))

series20.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+.f64 (/.f64 4 y) (*.f64 (/.f64 x y) (-.f64 1 z)))
10.0ms	(*.f64 (/.f64 x y) (-.f64 1 z))

simplify54.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5218	718

prune51.0ms

Filtered

49 candidates to 65 candidates (-32.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	8	8
Picked	0	1	1
Done	0	0	0
Total	65	9	74

Merged error: 0b

Counts

74 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

1.7b	(*.f64 (/.f64 x y) z)
11.7b	(cbrt.f64 (*.f64 (/.f64 x y) z))
11.7b	(cbrt.f64 (*.f64 (/.f64 x y) z))
11.7b	(cbrt.f64 (*.f64 (/.f64 x y) z))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt_binary64`
13×	`associate-l_binary64`
12×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
10×	`times-frac_binary64`
9×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`pow1_binary64`
4×	`add-log-exp_binary64` `associate-*l/_binary64`
3×	`cbrt-div_binary64` `associate-r_binary64` `pow1/3_binary64` `cbrt-prod_binary64`
2×	`cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
1×	`pow-prod-down_binary64` `cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64` `*-commutative_binary64`

Counts

4 → 62

Calls

4 calls:

6.0ms	(*.f64 (/.f64 x y) z)
4.0ms	(cbrt.f64 (*.f64 (/.f64 x y) z))
4.0ms	(cbrt.f64 (*.f64 (/.f64 x y) z))
4.0ms	(cbrt.f64 (*.f64 (/.f64 x y) z))

series73.0ms

Counts

4 → 12

Calls

4 calls:

6.0ms	(*.f64 (/.f64 x y) z)
24.0ms	(cbrt.f64 (*.f64 (/.f64 x y) z))
21.0ms	(cbrt.f64 (*.f64 (/.f64 x y) z))
21.0ms	(cbrt.f64 (*.f64 (/.f64 x y) z))

simplify42.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5780	500

prune51.0ms

Filtered

55 candidates to 74 candidates (-34.5%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	7	7
Picked	0	1	1
Done	0	1	1
Total	74	9	83

Merged error: 0b

Counts

83 → 9

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt.f64 z)
0.5b	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
0.8b	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
1.2b	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))

rewrite33.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log_binary64`
33×	`add-sqr-sqrt_binary64`
25×	`pow1_binary64`
22×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `cbrt-prod_binary64`
21×	`add-cbrt-cube_binary64`
20×	`associate-l_binary64`
18×	`cbrt-unprod_binary64` `prod-exp_binary64`
13×	`associate-r_binary64`
11×	`pow-prod-down_binary64`
10×	`times-frac_binary64`
7×	`pow1/3_binary64`
6×	`swap-sqr_binary64` `unswap-sqr_binary64`
4×	`add-log-exp_binary64` `cbrt-undiv_binary64` `div-exp_binary64`
3×	`associate-l/_binary64` `-commutative_binary64`
2×	`pow-prod-up_binary64` `pow-sqr_binary64`
1×	`pow-plus_binary64` `div-inv_binary64` `pow2_binary64`

Counts

4 → 115

Calls

4 calls:

1.0ms	(cbrt.f64 z)
6.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
10.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
13.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))

series74.0ms

Counts

4 → 12

Calls

4 calls:

14.0ms	(cbrt.f64 z)
18.0ms	(*.f64 (cbrt.f64 z) (cbrt.f64 z))
31.0ms	(.f64 (/.f64 x y) (.f64 (cbrt.f64 z) (cbrt.f64 z)))
10.0ms	(.f64 (.f64 (/.f64 x y) (*.f64 (cbrt.f64 z) (cbrt.f64 z))) (cbrt.f64 z))

simplify53.0ms

Algorithm

egg-herbie

Counts

127 → 127

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4934	797
1	4934	797

prune60.0ms

Filtered

83 candidates to 127 candidates (-53.0%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	127	0	127
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	127	9	136

Merged error: 0b

Counts

136 → 9

regimes141.0ms

Accuracy

0% (1.4b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	12
1	23	12

end0.0ms

sample552.0ms

Algorithm

intervals

Results

307.0ms	8000×	body	80	valid
45.0ms	1219×	body	80	invalid

Details

analyze354.0ms

sample19.0ms

simplify40.0ms

prune7.0ms

localize11.0ms

rewrite24.0ms

series21.0ms

simplify46.0ms

prune75.0ms

localize8.0ms

rewrite20.0ms

series20.0ms

simplify54.0ms

prune51.0ms

localize12.0ms

rewrite20.0ms

series73.0ms

simplify42.0ms

prune51.0ms

localize12.0ms

rewrite33.0ms

series74.0ms

simplify53.0ms

prune60.0ms

regimes141.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample552.0ms

Profiling