Details

analyze610.0ms

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

sample20.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
1.0ms	46×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	29	9
1	29	9

prune6.0ms

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

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite27.0ms

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:

9.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
5.0ms	(+.f64 (*.f64 x y) z)
8.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series37.0ms

Counts

3 → 9

Calls

3 calls:

20.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
6.0ms	(+.f64 (*.f64 x y) z)
11.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify56.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4970	486
1	4970	486

prune42.0ms

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

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_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` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
5.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
5.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))

series144.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
33.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
36.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
33.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5201	1158

prune75.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	2	3	5
Picked	1	0	1
Done	0	1	1
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b	(cbrt.f64 (+.f64 (*.f64 x y) z))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))
0.6b	(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

24×	`cbrt-prod_binary64`
12×	`cbrt-div_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`flip3-+_binary64` `add-log-exp_binary64` `pow1_binary64` `pow1/3_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`

Counts

4 → 58

Calls

4 calls:

5.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
5.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
6.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))
6.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))

series140.0ms

Counts

4 → 12

Calls

4 calls:

35.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
33.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
34.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))
37.0ms	(cbrt.f64 (cbrt.f64 (+.f64 (*.f64 x y) z)))

simplify104.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4875	792
1	4875	792

prune63.0ms

Filtered

66 candidates to 70 candidates (-6.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	70	7	77

Merged error: 0.0b

Counts

77 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))
9.4b	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))) (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (.f64 (cbrt.f64 (-.f64 (.f64 x y) z)) (cbrt.f64 (-.f64 (.f64 x y) z))))
21.2b	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))
21.2b	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))

rewrite51.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div_binary64`
16×	`add-exp-log_binary64`
15×	`flip3--_binary64` `flip--_binary64`
12×	`cbrt-prod_binary64`
9×	`difference-of-squares_binary64` `add-sqr-sqrt_binary64`
8×	`associate-/l/_binary64` `add-cbrt-cube_binary64` `associate-/r/_binary64` `frac-times_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `add-cube-cbrt_binary64`
4×	`pow1_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `associate-r/_binary64` `prod-exp_binary64` `div-exp_binary64` `associate-l/_binary64`
3×	`unpow2_binary64` `sqr-pow_binary64`
2×	`pow1/3_binary64`
1×	`associate-/r_binary64` `sub-neg_binary64` `diff-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`

Counts

4 → 83

Calls

4 calls:

6.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))
31.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))) (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (.f64 (cbrt.f64 (-.f64 (.f64 x y) z)) (cbrt.f64 (-.f64 (.f64 x y) z))))
5.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))
5.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))

series143.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))
63.0ms	(/.f64 (.f64 (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z))) (cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))) (.f64 (cbrt.f64 (-.f64 (.f64 x y) z)) (cbrt.f64 (-.f64 (.f64 x y) z))))
31.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))
32.0ms	(cbrt.f64 (-.f64 (pow.f64 (.f64 x y) 2) (.f64 z z)))

simplify56.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4950	1767
1	4950	1767

prune79.0ms

Filtered

77 candidates to 95 candidates (-23.4%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	95	7	102

Merged error: 0.0b

Counts

102 → 7

regimes325.0ms

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 (1.0ms)

Iter	Nodes	Cost
0	12	9
1	12	9

end0.0ms

sample564.0ms

Algorithm

intervals

Results

242.0ms	8000×	body	80	valid
59.0ms	1837×	body	80	invalid

Details

analyze610.0ms

sample20.0ms

simplify6.0ms

prune6.0ms

localize8.0ms

rewrite27.0ms

series37.0ms

simplify56.0ms

prune42.0ms

localize12.0ms

rewrite31.0ms

series144.0ms

simplify54.0ms

prune75.0ms

localize17.0ms

rewrite22.0ms

series140.0ms

simplify104.0ms

prune63.0ms

localize23.0ms

rewrite51.0ms

series143.0ms

simplify56.0ms

prune79.0ms

regimes325.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample564.0ms

Profiling