Details

analyze725.0ms

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

sample310.0ms

Algorithm

intervals

Results

214.0ms	161×	body	5120	exit
38.0ms	85×	body	1280	nan
16.0ms	256×	body	80	valid
16.0ms	56×	body	640	nan
7.0ms	39×	body	320	nan
1.0ms	13×	body	160	nan
1.0ms	7×	body	80	overflowed
0.0ms	5×	body	80	nan
0.0ms	3×	body	80	invalid

simplify134.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (125.0ms)

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: 0.3b

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)))
0.3b	(pow.f64 l (exp.f64 w))

rewrite12.0ms

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:

8.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
2.0ms	(pow.f64 l (exp.f64 w))

series152.0ms

Counts

2 → 6

Calls

2 calls:

93.0ms	(*.f64 (exp.f64 (neg.f64 w)) (pow.f64 l (exp.f64 w)))
58.0ms	(pow.f64 l (exp.f64 w))

simplify137.0ms

Algorithm

egg-herbie

Counts

50 → 50

Iterations

Useful iterations: 0 (121.0ms)

Iter	Nodes	Cost
0	5044	692

prune38.0ms

Filtered

33 candidates to 50 candidates (-51.5%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	46	4	50
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	47	5	52

Merged error: 0.2b

Counts

52 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
0.3b	(pow.f64 l (exp.f64 w))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

21×	`times-frac_binary64`
20×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
15×	`unpow-prod-down_binary64`
7×	`associate-/l*_binary64`
5×	`sqr-pow_binary64` `add-exp-log_binary64`
4×	`add-cbrt-cube_binary64`
3×	`pow-unpow_binary64` `associate-/r*_binary64` `pow1_binary64` `div-exp_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow-exp_binary64`
1×	`cbrt-undiv_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64`

Counts

2 → 62

Calls

2 calls:

5.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
2.0ms	(pow.f64 l (exp.f64 w))

series147.0ms

Counts

2 → 6

Calls

2 calls:

87.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
60.0ms	(pow.f64 l (exp.f64 w))

simplify115.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4925	1213
1	4925	1213

prune41.0ms

Filtered

46 candidates to 68 candidates (-47.8%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	1	3	4
Picked	1	0	1
Done	0	0	0
Total	67	6	73

Merged error: 0.2b

Counts

73 → 6

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (/.f64 (pow.f64 l (exp.f64 w)) (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
0.2b	(sqrt.f64 (exp.f64 w))
0.2b	(sqrt.f64 (exp.f64 w))
0.3b	(pow.f64 l (exp.f64 w))

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

570×	`times-frac_binary64`
295×	`add-sqr-sqrt_binary64`
294×	`sqrt-prod_binary64`
293×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
129×	`unpow-prod-down_binary64`
46×	`associate-/l*_binary64`
43×	`sqr-pow_binary64`
15×	`add-exp-log_binary64`
9×	`add-cbrt-cube_binary64`
8×	`sqrt-pow1_binary64` `div-inv_binary64`
7×	`pow1_binary64` `div-exp_binary64`
6×	`associate-/r*_binary64` `exp-prod_binary64`
4×	`add-log-exp_binary64`
3×	`pow-unpow_binary64` `cbrt-undiv_binary64`
2×	`pow-to-exp_binary64` `pow1/2_binary64` `rem-sqrt-square_binary64` `pow-exp_binary64`
1×	`associate-/l/_binary64` `pow-pow_binary64` `clear-num_binary64` `frac-2neg_binary64`

Counts

4 → 394

Calls

4 calls:

18.0ms	(/.f64 (/.f64 (pow.f64 l (exp.f64 w)) (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
2.0ms	(sqrt.f64 (exp.f64 w))
2.0ms	(sqrt.f64 (exp.f64 w))
2.0ms	(pow.f64 l (exp.f64 w))

series170.0ms

Counts

4 → 12

Calls

4 calls:

87.0ms	(/.f64 (/.f64 (pow.f64 l (exp.f64 w)) (sqrt.f64 (exp.f64 w))) (sqrt.f64 (exp.f64 w)))
11.0ms	(sqrt.f64 (exp.f64 w))
11.0ms	(sqrt.f64 (exp.f64 w))
61.0ms	(pow.f64 l (exp.f64 w))

simplify206.0ms

Algorithm

egg-herbie

Counts

406 → 406

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	5015	13299

prune138.0ms

Filtered

163 candidates to 406 candidates (-149.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	405	1	406
Fresh	1	4	5
Picked	0	1	1
Done	0	0	0
Total	406	6	412

Merged error: 0.2b

Counts

412 → 6

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 l) (cbrt.f64 l))
0.6b	(cbrt.f64 l)
0.6b	(cbrt.f64 l)
0.6b	(cbrt.f64 l)

rewrite10.0ms

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:

5.0ms	(*.f64 (cbrt.f64 l) (cbrt.f64 l))
1.0ms	(cbrt.f64 l)
1.0ms	(cbrt.f64 l)
1.0ms	(cbrt.f64 l)

series345.0ms

Counts

4 → 12

Calls

4 calls:

97.0ms	(*.f64 (cbrt.f64 l) (cbrt.f64 l))
81.0ms	(cbrt.f64 l)
85.0ms	(cbrt.f64 l)
82.0ms	(cbrt.f64 l)

simplify96.0ms

Algorithm

egg-herbie

Counts

85 → 85

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4937	588
1	4937	588

prune55.0ms

Filtered

65 candidates to 85 candidates (-30.8%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	82	3	85
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	82	9	91

Merged error: 0.1b

Counts

91 → 9

regimes37.0ms

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	8	20
1	8	20

end0.0ms

sample9.0s

Algorithm

intervals

Results

6.2s	4707×	body	5120	exit
1.1s	2341×	body	1280	nan
558.0ms	1946×	body	640	nan
508.0ms	8000×	body	80	valid
189.0ms	996×	body	320	nan
33.0ms	301×	body	160	nan
10.0ms	154×	body	80	overflowed
10.0ms	211×	body	80	nan
9.0ms	3×	body	5120	nan
8.0ms	126×	body	80	invalid

Details

analyze725.0ms

sample310.0ms

simplify134.0ms

prune3.0ms

localize7.0ms

rewrite12.0ms

series152.0ms

simplify137.0ms

prune38.0ms

localize5.0ms

rewrite10.0ms

series147.0ms

simplify115.0ms

prune41.0ms

localize8.0ms

rewrite53.0ms

series170.0ms

simplify206.0ms

prune138.0ms

localize13.0ms

rewrite10.0ms

series345.0ms

simplify96.0ms

prune55.0ms

regimes37.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample9.0s

Profiling