Details

analyze852.0ms

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

sample24.0ms

Algorithm

intervals

Results

7.0ms	256×	body	80	valid
2.0ms	72×	body	80	invalid

simplify5.0ms

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: 0.0b

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)

rewrite20.0ms

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)

series35.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(+.f64 (*.f64 x y) z)
18.0ms	(+.f64 (.f64 (+.f64 (.f64 x y) z) y) t)
10.0ms	(.f64 (+.f64 (.f64 x y) z) y)

simplify43.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4970	486
1	4970	486

prune59.0ms

Filtered

38 candidates to 51 candidates (-34.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	46	5	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	6	52

Merged error: 0b

Counts

52 → 6

localize10.0ms

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))

rewrite27.0ms

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:

12.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (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))
4.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))

series143.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x y) z)) (cbrt.f64 (+.f64 (*.f64 x y) z)))
32.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
35.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))
33.0ms	(cbrt.f64 (+.f64 (*.f64 x y) z))

simplify42.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5201	1158

prune125.0ms

Filtered

76 candidates to 99 candidates (-30.3%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	99	6	105

Merged error: 0b

Counts

105 → 6

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

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:

18.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t)) (cbrt.f64 (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) t)))
7.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))
7.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))
7.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))

series193.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t)) (cbrt.f64 (+.f64 (.f64 y (+.f64 (*.f64 x y) z)) t)))
47.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))
48.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))
44.0ms	(cbrt.f64 (+.f64 (.f64 y (+.f64 (.f64 x y) z)) t))

simplify37.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5042	1780

prune93.0ms

Filtered

84 candidates to 99 candidates (-17.9%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	99	6	105

Merged error: 0b

Counts

105 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 x y) (*.f64 x y))
1.0b	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
7.2b	(.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 z z)))
12.8b	(/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z))

rewrite42.0ms

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))

series73.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(.f64 (.f64 x y) (*.f64 x y))
17.0ms	(-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))
22.0ms	(.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (*.f64 z z)))
26.0ms	(/.f64 (.f64 y (-.f64 (.f64 (.f64 x y) (.f64 x y)) (.f64 z z))) (-.f64 (.f64 x y) z))

simplify65.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4961	1213
1	4961	1213

prune89.0ms

Filtered

66 candidates to 106 candidates (-60.6%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	106	6	112

Merged error: 0b

Counts

112 → 6

regimes418.0ms

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

sample526.0ms

Algorithm

intervals

Results

232.0ms	8000×	body	80	valid
52.0ms	1811×	body	80	invalid

Details

analyze852.0ms

sample24.0ms

simplify5.0ms

prune6.0ms

localize6.0ms

rewrite20.0ms

series35.0ms

simplify43.0ms

prune59.0ms

localize10.0ms

rewrite27.0ms

series143.0ms

simplify42.0ms

prune125.0ms

localize14.0ms

rewrite42.0ms

series193.0ms

simplify37.0ms

prune93.0ms

localize10.0ms

rewrite42.0ms

series73.0ms

simplify65.0ms

prune89.0ms

regimes418.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample526.0ms

Profiling