Details

analyze325.0ms

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
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
25%	74.9%	0.1%	8
28.1%	67.9%	4%	9
40.6%	53%	6.4%	10
49.1%	42.9%	7.9%	11
51.5%	37.7%	10.8%	12
59.1%	26.9%	14%	13
63.7%	21.8%	14.5%	14

sample19.0ms

Algorithm

intervals

Results

6.0ms	243×	body	80	valid
1.0ms	6×	body	1280	valid
1.0ms	23×	body	80	invalid
0.0ms	5×	body	160	valid
0.0ms	2×	body	640	valid

simplify6.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	30	9
1	30	9

prune2.0ms

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 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (+.f64 y z))
0.0b	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 36

Calls

2 calls:

7.0ms	(*.f64 x (+.f64 y z))
7.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 x (+.f64 y z))
8.0ms	(+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))

simplify60.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4959	352
1	4959	352

prune33.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	37	5	42
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	37	6	43

Merged error: 0.0b

Counts

43 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite25.0ms

Algorithm

rewrite-expression-head

Rules

36×	`cbrt-prod_binary64`
35×	`*-un-lft-identity_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `pow1/3_binary64` `flip-+_binary64`
7×	`associate-r_binary64` `associate-l_binary64`
6×	`add-exp-log_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 → 95

Calls

4 calls:

11.0ms	(*.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))
3.0ms	(cbrt.f64 (+.f64 y z))
4.0ms	(cbrt.f64 (+.f64 y z))
4.0ms	(cbrt.f64 (+.f64 y z))

series137.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(*.f64 (cbrt.f64 (+.f64 y z)) (cbrt.f64 (+.f64 y z)))
29.0ms	(cbrt.f64 (+.f64 y z))
29.0ms	(cbrt.f64 (+.f64 y z))
32.0ms	(cbrt.f64 (+.f64 y z))

simplify43.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5093	995

prune60.0ms

Filtered

80 candidates to 107 candidates (-33.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	107	0	107
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	107	6	113

Merged error: 0.0b

Counts

113 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5))))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))

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:

17.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5))))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

70.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5))) (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (*.f64 z 5))))
42.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
40.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
40.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5416	1816

prune95.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	97	2	99
Fresh	0	3	3
Picked	0	1	1
Done	1	1	2
Total	98	7	105

Merged error: 0.0b

Counts

105 → 7

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
0.6b	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
1.2b	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))) 6)

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`unpow-prod-down_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `pow1/3_binary64` `add-cbrt-cube_binary64`
3×	`flip3-+_binary64` `pow-unpow_binary64` `flip-+_binary64`
2×	`pow-pow_binary64`
1×	`pow-to-exp_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 63

Calls

4 calls:

6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
7.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
10.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))) 6)

series287.0ms

Counts

4 → 12

Calls

4 calls:

41.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
42.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
39.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))
165.0ms	(pow.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 y z)) (.f64 z 5)))) 6)

simplify63.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4938	1111
1	4938	1111

prune79.0ms

Filtered

58 candidates to 75 candidates (-29.3%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	75	0	75
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	75	7	82

Merged error: 0.0b

Counts

82 → 7

regimes166.0ms

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

sample430.0ms

Algorithm

intervals

Results

205.0ms	7656×	body	80	valid
16.0ms	638×	body	80	invalid
15.0ms	128×	body	1280	valid
11.0ms	116×	body	640	valid
4.0ms	55×	body	320	valid
2.0ms	45×	body	160	valid

Details

analyze325.0ms

sample19.0ms

simplify6.0ms

prune2.0ms

localize6.0ms

rewrite16.0ms

series15.0ms

simplify60.0ms

prune33.0ms

localize10.0ms

rewrite25.0ms

series137.0ms

simplify43.0ms

prune60.0ms

localize11.0ms

rewrite42.0ms

series192.0ms

simplify46.0ms

prune95.0ms

localize17.0ms

rewrite32.0ms

series287.0ms

simplify63.0ms

prune79.0ms

regimes166.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample430.0ms

Profiling