Details

analyze684.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
31.2%	68.7%	0.1%	5
31.2%	59.3%	9.5%	6
34.3%	54.6%	11%	7
34.3%	49.2%	16.5%	8
35.9%	46.4%	17.7%	9
35.9%	42.1%	22%	10
36.7%	40.6%	22.7%	11
36.7%	39.1%	24.2%	12
37.1%	38.3%	24.7%	13
37.1%	36.7%	26.2%	14

sample287.0ms

Algorithm

intervals

Results

195.0ms	148×	body	5120	exit
38.0ms	84×	body	1280	nan
16.0ms	256×	body	80	valid
14.0ms	53×	body	640	nan
6.0ms	32×	body	320	nan
1.0ms	10×	body	160	nan
0.0ms	6×	body	80	invalid
0.0ms	5×	body	80	nan
0.0ms	2×	body	80	overflowed

simplify132.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (123.0ms)

Iter	Nodes	Cost
0	4888	11
1	4888	11

prune3.0ms

Filtered

1 candidates to 1 candidates (0.0%)

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: 0.5b

Counts

2 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
0.5b	(pow.f64 l (exp.f64 w))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64` `add-cube-cbrt_binary64` `unpow-prod-down_binary64`
5×	`add-exp-log_binary64`
4×	`add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `pow1_binary64` `sqr-pow_binary64` `associate-l_binary64` `unswap-sqr_binary64` `prod-exp_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-exp_binary64` `associate-*l/_binary64`
1×	`cbrt-unprod_binary64` `neg-sub0_binary64` `pow-pow_binary64` `exp-diff_binary64` `exp-neg_binary64` `*-commutative_binary64`

Counts

2 → 44

Calls

2 calls:

11.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
2.0ms	(pow.f64 l (exp.f64 w))

series145.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
60.0ms	(pow.f64 l (exp.f64 w))

simplify136.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (118.0ms)

Iter	Nodes	Cost
0	5044	692

prune39.0ms

Filtered

33 candidates to 50 candidates (-51.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	42	8	50
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	44	8	52

Merged error: 0.2b

Counts

52 → 8

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 (neg.f64 w)))
0.0b	(cbrt.f64 (exp.f64 (neg.f64 w)))
0.0b	(cbrt.f64 (exp.f64 (neg.f64 w)))
0.5b	(pow.f64 l (exp.f64 w))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64` `cbrt-prod_binary64`
6×	`cbrt-div_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `neg-sub0_binary64` `pow1/3_binary64` `exp-diff_binary64` `unpow-prod-down_binary64` `exp-neg_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 56

Calls

4 calls:

3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
5.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
2.0ms	(pow.f64 l (exp.f64 w))

series262.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
71.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
64.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
60.0ms	(pow.f64 l (exp.f64 w))

simplify44.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (28.0ms)

Iter	Nodes	Cost
0	4952	683
1	4952	683

prune67.0ms

Filtered

52 candidates to 68 candidates (-30.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	62	6	68
Fresh	4	3	7
Picked	1	0	1
Done	0	0	0
Total	67	9	76

Merged error: 0.2b

Counts

76 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 (neg.f64 w)))
0.0b	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))
0.0b	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))
0.5b	(pow.f64 l (exp.f64 w))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

15×	`cbrt-prod_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
6×	`cbrt-div_binary64` `sqrt-prod_binary64`
5×	`pow1_binary64` `add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `sqrt-div_binary64`
3×	`pow-unpow_binary64` `neg-sub0_binary64` `pow1/3_binary64` `exp-diff_binary64` `unpow-prod-down_binary64` `exp-neg_binary64`
1×	`pow-to-exp_binary64` `pow-pow_binary64` `sqr-pow_binary64` `pow-exp_binary64`

Counts

4 → 62

Calls

4 calls:

3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
5.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))
4.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))
3.0ms	(pow.f64 l (exp.f64 w))

series257.0ms

Counts

4 → 12

Calls

4 calls:

66.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
65.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))
65.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))
61.0ms	(pow.f64 l (exp.f64 w))

simplify48.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5119	877

prune75.0ms

Filtered

54 candidates to 74 candidates (-37.0%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	70	4	74
Fresh	2	6	8
Picked	1	0	1
Done	0	0	0
Total	73	10	83

Merged error: 0.2b

Counts

83 → 10

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b	(cbrt.f64 (exp.f64 (neg.f64 w)))
0.0b	(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))))
0.0b	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))
0.5b	(pow.f64 l (exp.f64 w))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

81×	`cbrt-prod_binary64`
75×	`sqrt-prod_binary64`
69×	`add-sqr-sqrt_binary64`
26×	`sqrt-div_binary64`
25×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
18×	`swap-sqr_binary64`
16×	`cbrt-div_binary64` `unswap-sqr_binary64`
12×	`pow1_binary64` `associate-r_binary64` `associate-l_binary64`
8×	`neg-sub0_binary64` `pow1/3_binary64` `exp-diff_binary64` `exp-neg_binary64`
7×	`add-exp-log_binary64`
4×	`add-log-exp_binary64` `add-cbrt-cube_binary64` `frac-times_binary64`
3×	`pow-unpow_binary64` `unpow-prod-down_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `sqr-pow_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 130

Calls

4 calls:

3.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
15.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))))
4.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))
2.0ms	(pow.f64 l (exp.f64 w))

series265.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt.f64 (exp.f64 (neg.f64 w)))
68.0ms	(*.f64 (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))) (cbrt.f64 (sqrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))))
70.0ms	(cbrt.f64 (sqrt.f64 (exp.f64 (neg.f64 w))))
60.0ms	(pow.f64 l (exp.f64 w))

simplify103.0ms

Algorithm

egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4924	3055
1	4924	3055

prune98.0ms

Filtered

79 candidates to 142 candidates (-79.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	140	2	142
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	143	9	152

Merged error: 0.2b

Counts

152 → 9

regimes48.0ms

Accuracy

0% (0.2b remaining)

Error of 0.3b against oracle of 0.1b and baseline of 0.3b

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	25	76
1	25	76

end0.0ms

sample8.9s

Algorithm

intervals

Results

6.1s	4725×	body	5120	exit
1.0s	2350×	body	1280	nan
514.0ms	1878×	body	640	nan
511.0ms	8000×	body	80	valid
173.0ms	976×	body	320	nan
30.0ms	292×	body	160	nan
13.0ms	179×	body	80	nan
10.0ms	144×	body	80	overflowed
8.0ms	116×	body	80	invalid
6.0ms	3×	body	5120	nan
1.0ms	1×	body	2560	nan

Details

analyze684.0ms

sample287.0ms

simplify132.0ms

prune3.0ms

localize7.0ms

rewrite15.0ms

series145.0ms

simplify136.0ms

prune39.0ms

localize11.0ms

rewrite15.0ms

series262.0ms

simplify44.0ms

prune67.0ms

localize16.0ms

rewrite16.0ms

series257.0ms

simplify48.0ms

prune75.0ms

localize20.0ms

rewrite32.0ms

series265.0ms

simplify103.0ms

prune98.0ms

regimes48.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample8.9s

Profiling