Details

analyze1.7s

Algorithm

Search

True	Other	False	Iter
0%	99.6%	0.4%	0
0%	99.6%	0.4%	1
0%	99.6%	0.4%	2
0%	99.6%	0.4%	3
0%	99.6%	0.4%	4
0%	99.6%	0.4%	5
0%	99.6%	0.4%	6
0%	99.6%	0.4%	7
0%	99.6%	0.4%	8
0%	99.6%	0.4%	9
0%	99.6%	0.4%	10
0%	99.6%	0.4%	11
0%	99.6%	0.4%	12
0%	99.6%	0.4%	13
0%	99.6%	0.4%	14

sample64.0ms

Algorithm

intervals

Results

20.0ms	247×	body	80	invalid
14.0ms	256×	body	80	valid

simplify413.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (409.0ms)

Iter	Nodes	Cost
0	2661	19
1	2661	19

prune9.0ms

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: 5.0b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(+.f64 a (*.f64 b c))
0.0b	(.f64 (+.f64 a (.f64 b c)) c)
7.6b	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 62

Calls

4 calls:

4.0ms	(+.f64 (.f64 x y) (.f64 z t))
3.0ms	(+.f64 a (*.f64 b c))
6.0ms	(.f64 (+.f64 a (.f64 b c)) c)
8.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

series54.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+.f64 (.f64 x y) (.f64 z t))
7.0ms	(+.f64 a (*.f64 b c))
16.0ms	(.f64 (+.f64 a (.f64 b c)) c)
20.0ms	(.f64 (.f64 (+.f64 a (*.f64 b c)) c) i)

simplify45.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5021	662

prune87.0ms

Filtered

55 candidates to 74 candidates (-34.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	66	8	74
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	67	8	75

Merged error: 0.8b

Counts

75 → 8

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x y) (.f64 z t))
0.0b	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
0.0b	(+.f64 a (*.f64 b c))
4.5b	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

13×	`add-log-exp_binary64`
9×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`flip3-+_binary64` `flip-+_binary64`
6×	`associate-*l/_binary64`
5×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
4×	`frac-sub_binary64`
3×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `sum-log_binary64`
2×	`diff-log_binary64` `+-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `associate-r_binary64` `flip--_binary64` `associate--l+_binary64` `*-commutative_binary64`

Counts

4 → 59

Calls

4 calls:

5.0ms	(+.f64 (.f64 x y) (.f64 z t))
9.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
3.0ms	(+.f64 a (*.f64 b c))
8.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

series397.0ms

Counts

4 → 12

Calls

4 calls:

11.0ms	(+.f64 (.f64 x y) (.f64 z t))
359.0ms	(-.f64 (+.f64 (.f64 x y) (.f64 z t)) (.f64 (+.f64 a (.f64 b c)) (*.f64 c i)))
7.0ms	(+.f64 a (*.f64 b c))
21.0ms	(.f64 (+.f64 a (.f64 b c)) (*.f64 c i))

simplify25.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	5322	1119

prune91.0ms

Filtered

53 candidates to 71 candidates (-34.0%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	64	7	71
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	67	12	79

Merged error: 0.7b

Counts

79 → 12

localize18.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt.f64 (+.f64 a (*.f64 b c)))
1.3b	(cbrt.f64 (+.f64 a (*.f64 b c)))
1.8b	(.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c)))))
2.2b	(.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c))))

rewrite37.0ms

Algorithm

rewrite-expression-head

Rules

60×	`cbrt-div_binary64`
30×	`flip3-+_binary64` `pow1_binary64` `add-exp-log_binary64` `flip-+_binary64`
28×	`associate-*r/_binary64` `frac-times_binary64`
18×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
14×	`associate-*l/_binary64`
9×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
7×	`associate-r_binary64`
4×	`add-log-exp_binary64`
2×	`pow1/3_binary64` `associate-l_binary64` `*-commutative_binary64`

Counts

4 → 103

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
19.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c)))))
8.0ms	(.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c))))

series120.0ms

Counts

4 → 12

Calls

4 calls:

28.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
28.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
20.0ms	(.f64 (.f64 (cbrt.f64 (+.f64 a (.f64 b c))) (cbrt.f64 (+.f64 a (.f64 b c)))) (.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c)))))
44.0ms	(.f64 (.f64 c i) (cbrt.f64 (+.f64 a (*.f64 b c))))

simplify64.0ms

Algorithm

egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5018	2057

prune109.0ms

Filtered

78 candidates to 115 candidates (-47.4%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	111	4	115
Fresh	3	7	10
Picked	0	1	1
Done	0	1	1
Total	114	13	127

Merged error: 0.7b

Counts

127 → 13

localize21.0ms

Local error

Found 4 expressions with local error:

1.3b	(cbrt.f64 (+.f64 a (*.f64 c b)))
1.3b	(cbrt.f64 (+.f64 a (*.f64 b c)))
1.5b	(.f64 (.f64 (.f64 c i) (pow.f64 (cbrt.f64 (+.f64 a (.f64 c b))) 2)) (cbrt.f64 (+.f64 a (*.f64 b c))))
2.6b	(.f64 (.f64 c i) (pow.f64 (cbrt.f64 (+.f64 a (*.f64 c b))) 2))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

38×	`add-exp-log_binary64`
25×	`prod-exp_binary64`
17×	`associate-r_binary64`
15×	`add-cbrt-cube_binary64`
12×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`cbrt-unprod_binary64`
6×	`cbrt-div_binary64` `pow1_binary64` `unpow-prod-down_binary64`
4×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-exp_binary64`
3×	`flip3-+_binary64` `flip-+_binary64`
2×	`associate-r/_binary64` `pow1/3_binary64` `associate-l_binary64` `-commutative_binary64`
1×	`pow-prod-down_binary64` `unpow2_binary64` `sqr-pow_binary64`

Counts

4 → 82

Calls

4 calls:

3.0ms	(cbrt.f64 (+.f64 a (*.f64 c b)))
3.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
14.0ms	(.f64 (.f64 (.f64 c i) (pow.f64 (cbrt.f64 (+.f64 a (.f64 c b))) 2)) (cbrt.f64 (+.f64 a (*.f64 b c))))
10.0ms	(.f64 (.f64 c i) (pow.f64 (cbrt.f64 (+.f64 a (*.f64 c b))) 2))

series128.0ms

Counts

4 → 12

Calls

4 calls:

27.0ms	(cbrt.f64 (+.f64 a (*.f64 c b)))
27.0ms	(cbrt.f64 (+.f64 a (*.f64 b c)))
13.0ms	(.f64 (.f64 (.f64 c i) (pow.f64 (cbrt.f64 (+.f64 a (.f64 c b))) 2)) (cbrt.f64 (+.f64 a (*.f64 b c))))
60.0ms	(.f64 (.f64 c i) (pow.f64 (cbrt.f64 (+.f64 a (*.f64 c b))) 2))

simplify43.0ms

Algorithm

egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5151	1076

prune61.0ms

Filtered

71 candidates to 94 candidates (-32.4%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	3	7	10
Picked	1	0	1
Done	0	2	2
Total	96	11	107

Merged error: 0.7b

Counts

107 → 11

regimes1.4s

Accuracy

0% (1.0b remaining)

Error of 1.8b against oracle of 0.8b and baseline of 1.8b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	94	19
1	94	19

end0.0ms

sample1.6s

Algorithm

intervals

Results

470.0ms	8000×	body	80	valid
438.0ms	7168×	body	80	invalid

Details

analyze1.7s

sample64.0ms

simplify413.0ms

prune9.0ms

localize15.0ms

rewrite23.0ms

series54.0ms

simplify45.0ms

prune87.0ms

localize16.0ms

rewrite27.0ms

series397.0ms

simplify25.0ms

prune91.0ms

localize18.0ms

rewrite37.0ms

series120.0ms

simplify64.0ms

prune109.0ms

localize21.0ms

rewrite31.0ms

series128.0ms

simplify43.0ms

prune61.0ms

regimes1.4s

bsearch0.0ms

simplify3.0ms

end0.0ms

sample1.6s

Profiling