Details

analyze620.0ms

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	49×	body	80	invalid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

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)

rewrite23.0ms

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)
9.0ms	(.f64 (+.f64 (.f64 x y) z) y)

series39.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+.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)

simplify57.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4970	486
1	4970	486

prune44.0ms

Filtered

38 candidates to 51 candidates (-34.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	44	7	51
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	8	52

Merged error: 0.0b

Counts

52 → 8

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
8.5b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
8.5b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
8.5b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

20×	`associate-*r/_binary64`
18×	`cbrt-div_binary64`
11×	`pow1_binary64`
10×	`add-sqr-sqrt_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
7×	`cbrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `swap-sqr_binary64` `associate-r_binary64` `add-cbrt-cube_binary64` `associate-l_binary64` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `pow-sqr_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 72

Calls

4 calls:

8.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
6.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
6.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
6.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

series185.0ms

Counts

4 → 12

Calls

4 calls:

60.0ms	(.f64 (cbrt.f64 (.f64 y (+.f64 (.f64 x y) z))) (cbrt.f64 (.f64 y (+.f64 (*.f64 x y) z))))
41.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
43.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
41.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))

simplify88.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (77.0ms)

Iter	Nodes	Cost
0	4859	1017
1	4859	1017

prune66.0ms

Filtered

71 candidates to 84 candidates (-18.3%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	82	2	84
Fresh	1	5	6
Picked	0	1	1
Done	0	1	1
Total	83	9	92

Merged error: 0.0b

Counts

92 → 9

localize11.0ms

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)

rewrite13.0ms

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:

6.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)
1.0ms	(cbrt.f64 y)

series71.0ms

Counts

4 → 12

Calls

4 calls:

19.0ms	(*.f64 (cbrt.f64 y) (cbrt.f64 y))
19.0ms	(cbrt.f64 y)
16.0ms	(cbrt.f64 y)
16.0ms	(cbrt.f64 y)

simplify59.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4940	374
1	4940	374

prune58.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

9 alts after pruning (6 fresh and 3 done)

	Pruned	Kept	Total
New	85	0	85
Fresh	0	6	6
Picked	0	1	1
Done	0	2	2
Total	85	9	94

Merged error: 0.0b

Counts

94 → 9

localize23.0ms

Local error

Found 4 expressions with local error:

6.7b	(.f64 y (-.f64 (.f64 (.f64 y x) (.f64 y x)) (*.f64 z z)))
8.5b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
8.5b	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
25.8b	(cbrt.f64 (.f64 y (-.f64 (.f64 (.f64 y x) (.f64 y x)) (*.f64 z z))))

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*r/_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`add-log-exp_binary64` `associate-r_binary64`
3×	`pow1/3_binary64` `associate-l_binary64` `cbrt-prod_binary64`
2×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `flip--_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `*-commutative_binary64`

Counts

4 → 56

Calls

4 calls:

13.0ms	(.f64 y (-.f64 (.f64 (.f64 y x) (.f64 y x)) (*.f64 z z)))
9.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
6.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
10.0ms	(cbrt.f64 (.f64 y (-.f64 (.f64 (.f64 y x) (.f64 y x)) (*.f64 z z))))

series147.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(.f64 y (-.f64 (.f64 (.f64 y x) (.f64 y x)) (*.f64 z z)))
43.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
41.0ms	(cbrt.f64 (.f64 y (+.f64 (.f64 x y) z)))
40.0ms	(cbrt.f64 (.f64 y (-.f64 (.f64 (.f64 y x) (.f64 y x)) (*.f64 z z))))

simplify90.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4903	789
1	4903	789

prune48.0ms

Filtered

62 candidates to 68 candidates (-9.7%)

Pruning

10 alts after pruning (6 fresh and 4 done)

	Pruned	Kept	Total
New	67	1	68
Fresh	0	5	5
Picked	0	1	1
Done	0	3	3
Total	67	10	77

Merged error: 0.0b

Counts

77 → 10

regimes368.0ms

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

sample548.0ms

Algorithm

intervals

Results

238.0ms	8000×	body	80	valid
53.0ms	1830×	body	80	invalid

Details

analyze620.0ms

sample20.0ms

simplify6.0ms

prune6.0ms

localize8.0ms

rewrite23.0ms

series39.0ms

simplify57.0ms

prune44.0ms

localize15.0ms

rewrite28.0ms

series185.0ms

simplify88.0ms

prune66.0ms

localize11.0ms

rewrite13.0ms

series71.0ms

simplify59.0ms

prune58.0ms

localize23.0ms

rewrite40.0ms

series147.0ms

simplify90.0ms

prune48.0ms

regimes368.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample548.0ms

Profiling