Details

analyze871.0ms

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

sample321.0ms

Algorithm

intervals

Results

216.0ms	169×	body	5120	exit
45.0ms	96×	body	1280	nan
19.0ms	69×	body	640	nan
16.0ms	256×	body	80	valid
6.0ms	33×	body	320	nan
2.0ms	17×	body	160	nan
0.0ms	7×	body	80	invalid
0.0ms	10×	body	80	nan
0.0ms	4×	body	80	overflowed

simplify86.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4891	7
1	4891	7

prune9.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
0.1b	(pow.f64 l (exp.f64 w))

rewrite22.0ms

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:

14.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
5.0ms	(pow.f64 l (exp.f64 w))

series34.0ms

Counts

2 → 6

Calls

2 calls:

20.0ms	(/.f64 (pow.f64 l (exp.f64 w)) (exp.f64 w))
14.0ms	(pow.f64 l (exp.f64 w))

simplify58.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	4970	753
1	4970	753

prune34.0ms

Filtered

49 candidates to 68 candidates (-38.8%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	65	3	68
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	66	3	69

Merged error: 0.0b

Counts

69 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w)
0.0b	(*.f64 (log.f64 l) (exp.f64 w))
4.5b	(exp.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
5×	`add-cbrt-cube_binary64`
4×	`add-exp-log_binary64` `associate-l_binary64`
3×	`associate-r_binary64` `exp-prod_binary64`
2×	`sub-neg_binary64` `diff-log_binary64` `rem-exp-log_binary64`
1×	`pow-prod-down_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `log-pow_binary64` `exp-diff_binary64` `unswap-sqr_binary64` `exp-sum_binary64` `prod-exp_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

3 → 44

Calls

3 calls:

5.0ms	(-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w)
6.0ms	(*.f64 (log.f64 l) (exp.f64 w))
7.0ms	(exp.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w))

series36.0ms

Counts

3 → 9

Calls

3 calls:

13.0ms	(-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w)
9.0ms	(*.f64 (log.f64 l) (exp.f64 w))
14.0ms	(exp.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w))

simplify35.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5509	442

prune25.0ms

Filtered

37 candidates to 53 candidates (-43.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	52	1	53
Fresh	0	2	2
Picked	1	0	1
Done	0	0	0
Total	53	3	56

Merged error: 0.0b

Counts

56 → 3

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w)
0.0b	(*.f64 (log.f64 l) (exp.f64 w))
4.9b	(pow.f64 E.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-l_binary64`
3×	`pow-unpow_binary64` `associate-r_binary64` `unpow-prod-down_binary64`
2×	`sub-neg_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `pow-prod-down_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `pow-pow_binary64` `log-pow_binary64` `sqr-pow_binary64` `unpow-prod-up_binary64` `unswap-sqr_binary64` `pow-sub_binary64` `prod-exp_binary64` `e-exp-1_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

3 → 50

Calls

3 calls:

6.0ms	(-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w)
6.0ms	(*.f64 (log.f64 l) (exp.f64 w))
6.0ms	(pow.f64 E.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w))

series43.0ms

Counts

3 → 9

Calls

3 calls:

16.0ms	(-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w)
9.0ms	(*.f64 (log.f64 l) (exp.f64 w))
18.0ms	(pow.f64 E.f64 (-.f64 (*.f64 (log.f64 l) (exp.f64 w)) w))

simplify56.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5048	543

prune23.0ms

Filtered

40 candidates to 59 candidates (-47.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	59	3	62

Merged error: 0.0b

Counts

62 → 3

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(pow.f64 (log.f64 l) 2)
0.7b	(.f64 (.f64 1/2 (.f64 l (.f64 w w))) (+.f64 (pow.f64 (log.f64 l) 2) (log.f64 l)))
2.0b	(/.f64 (+.f64 (.f64 (log.f64 l) (.f64 l w)) (+.f64 l (.f64 (.f64 1/2 (.f64 l (.f64 w w))) (+.f64 (pow.f64 (log.f64 l) 2) (log.f64 l))))) (exp.f64 w))
8.2b	(.f64 l (.f64 w w))

rewrite47.0ms

Algorithm

rewrite-expression-head

Rules

27×	`pow1_binary64`
25×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
20×	`*-un-lft-identity_binary64`
17×	`add-sqr-sqrt_binary64`
16×	`add-cube-cbrt_binary64`
13×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64`
9×	`associate-r_binary64` `times-frac_binary64`
4×	`add-log-exp_binary64` `unpow2_binary64` `associate-l_binary64` `unpow-prod-down_binary64`
3×	`pow-unpow_binary64` `associate-/r_binary64` `log-pow_binary64` `associate-/l_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `distribute-lft-out_binary64` `associate-r/_binary64` `distribute-rgt-out_binary64` `flip-+_binary64` `-commutative_binary64`
1×	`pow-to-exp_binary64` `distribute-lft1-in_binary64` `cbrt-undiv_binary64` `pow-pow_binary64` `sqr-pow_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `pow-exp_binary64`

Counts

4 → 100

Calls

4 calls:

3.0ms	(pow.f64 (log.f64 l) 2)
20.0ms	(.f64 (.f64 1/2 (.f64 l (.f64 w w))) (+.f64 (pow.f64 (log.f64 l) 2) (log.f64 l)))
15.0ms	(/.f64 (+.f64 (.f64 (log.f64 l) (.f64 l w)) (+.f64 l (.f64 (.f64 1/2 (.f64 l (.f64 w w))) (+.f64 (pow.f64 (log.f64 l) 2) (log.f64 l))))) (exp.f64 w))
6.0ms	(.f64 l (.f64 w w))

series131.0ms

Counts

4 → 12

Calls

4 calls:

10.0ms	(pow.f64 (log.f64 l) 2)
37.0ms	(.f64 (.f64 1/2 (.f64 l (.f64 w w))) (+.f64 (pow.f64 (log.f64 l) 2) (log.f64 l)))
75.0ms	(/.f64 (+.f64 (.f64 (log.f64 l) (.f64 l w)) (+.f64 l (.f64 (.f64 1/2 (.f64 l (.f64 w w))) (+.f64 (pow.f64 (log.f64 l) 2) (log.f64 l))))) (exp.f64 w))
8.0ms	(.f64 l (.f64 w w))

simplify43.0ms

Algorithm

egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5601	2096

prune60.0ms

Filtered

71 candidates to 112 candidates (-57.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Merged error: 0.0b

Counts

115 → 3

regimes60.0ms

Accuracy

89% (0.5b remaining)

Error of 0.7b against oracle of 0.1b and baseline of 5.0b

bsearch28.0ms

Steps

Iters	Range		Point
10	1.004487958249228e-11	27.221666187895693	1.913020217302641e-07

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	47	40
1	47	40

end0.0ms

sample8.9s

Algorithm

intervals

Results

6.1s	4677×	body	5120	exit
1.1s	2429×	body	1280	nan
565.0ms	2010×	body	640	nan
508.0ms	8000×	body	80	valid
176.0ms	1000×	body	320	nan
36.0ms	328×	body	160	nan
11.0ms	240×	body	80	nan
8.0ms	135×	body	80	overflowed
7.0ms	111×	body	80	invalid
2.0ms	2×	body	2560	nan

Details

analyze871.0ms

sample321.0ms

simplify86.0ms

prune9.0ms

localize10.0ms

rewrite22.0ms

series34.0ms

simplify58.0ms

prune34.0ms

localize8.0ms

rewrite19.0ms

series36.0ms

simplify35.0ms

prune25.0ms

localize13.0ms

rewrite19.0ms

series43.0ms

simplify56.0ms

prune23.0ms

localize18.0ms

rewrite47.0ms

series131.0ms

simplify43.0ms

prune60.0ms

regimes60.0ms

bsearch28.0ms

simplify2.0ms

end0.0ms

sample8.9s

Profiling