Details

analyze8.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
0%	50%	50%	3
25%	25%	50%	4
37.5%	12.5%	50%	5
43.7%	6.2%	50%	6
46.9%	3.1%	50%	7
48.4%	1.6%	50%	8
49.2%	0.8%	50%	9
49.6%	0.4%	50%	10
49.8%	0.2%	50%	11
49.9%	0.1%	50%	12
49.9%	0%	50%	13
49.9%	0%	50%	14

sample101.0ms

Algorithm

intervals

Results

54.0ms	98×	body	1280	valid
28.0ms	88×	body	640	valid
8.0ms	40×	body	320	valid
3.0ms	24×	body	160	valid
0.0ms	6×	body	80	valid

simplify194.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (192.0ms)

Iter	Nodes	Cost
0	4004	10
1	4004	10

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: 58.3b

Counts

2 → 1

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 1 x) (-.f64 1 x))
6.4b	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

78×	`*-un-lft-identity_binary64`
52×	`add-sqr-sqrt_binary64`
48×	`times-frac_binary64`
30×	`log-prod_binary64`
25×	`add-cube-cbrt_binary64`
18×	`difference-of-squares_binary64`
13×	`distribute-lft-out_binary64`
9×	`distribute-lft-out--_binary64`
7×	`add-exp-log_binary64`
6×	`associate-/r*_binary64`
4×	`add-cbrt-cube_binary64` `associate-/r/_binary64` `associate-/l*_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `add-log-exp_binary64` `flip3--_binary64` `rem-log-exp_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64`
1×	`flip3-+_binary64` `cbrt-undiv_binary64` `log-pow_binary64` `clear-num_binary64` `frac-2neg_binary64` `log-div_binary64` `flip-+_binary64`

Counts

2 → 91

Calls

2 calls:

9.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
8.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

series9.0ms

Counts

2 → 6

Calls

2 calls:

3.0ms	(/.f64 (+.f64 1 x) (-.f64 1 x))
6.0ms	(log.f64 (/.f64 (+.f64 1 x) (-.f64 1 x)))

simplify55.0ms

Algorithm

egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5197	1239

prune98.0ms

Filtered

59 candidates to 97 candidates (-64.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	95	2	97
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	96	2	98

Merged error: 0.0b

Counts

98 → 2

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 (pow.f64 x 3) 2/3)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

21×	`add-sqr-sqrt_binary64`
15×	`associate-l_binary64`
12×	`add-exp-log_binary64`
10×	`associate-r_binary64`
9×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`unswap-sqr_binary64`
6×	`add-cbrt-cube_binary64` `prod-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
2×	`pow-to-exp_binary64` `add-log-exp_binary64` `pow1_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`unpow3_binary64` `cube-mult_binary64`

Counts

2 → 56

Calls

2 calls:

5.0ms	(*.f64 2/5 (pow.f64 x 5))
6.0ms	(*.f64 (pow.f64 x 3) 2/3)

series12.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(*.f64 2/5 (pow.f64 x 5))
4.0ms	(*.f64 (pow.f64 x 3) 2/3)

simplify44.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	4884	398
1	4884	398

prune60.0ms

Filtered

40 candidates to 62 candidates (-55.0%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	1	62
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Merged error: 0.0b

Counts

64 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 2/5 (pow.f64 x 5))
0.1b	(*.f64 2/3 (pow.f64 x 3))
2.1b	(log.f64 (exp.f64 (*.f64 2/3 (pow.f64 x 3))))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

23×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
13×	`add-exp-log_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64`
4×	`add-log-exp_binary64` `pow1_binary64` `sqr-pow_binary64` `cube-prod_binary64`
3×	`log-prod_binary64` `log-pow_binary64`
2×	`pow-to-exp_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`rem-log-exp_binary64` `exp-to-pow_binary64` `unpow3_binary64` `exp-prod_binary64` `cube-mult_binary64`

Counts

3 → 70

Calls

3 calls:

5.0ms	(*.f64 2/5 (pow.f64 x 5))
6.0ms	(*.f64 2/3 (pow.f64 x 3))
2.0ms	(log.f64 (exp.f64 (*.f64 2/3 (pow.f64 x 3))))

series14.0ms

Counts

3 → 9

Calls

3 calls:

5.0ms	(*.f64 2/5 (pow.f64 x 5))
4.0ms	(*.f64 2/3 (pow.f64 x 3))
5.0ms	(log.f64 (exp.f64 (*.f64 2/3 (pow.f64 x 3))))

simplify61.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5024	500

prune72.0ms

Filtered

49 candidates to 79 candidates (-61.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	79	3	82

Merged error: 0.0b

Counts

82 → 3

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
6.4b	(log.f64 (+.f64 1 x))
6.5b	(log.f64 (-.f64 1 x))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

21×	`*-un-lft-identity_binary64`
20×	`log-prod_binary64`
15×	`add-sqr-sqrt_binary64`
9×	`pow1_binary64`
8×	`log-div_binary64`
7×	`add-cube-cbrt_binary64`
6×	`associate--r+_binary64` `log-pow_binary64` `distribute-lft-out--_binary64`
5×	`add-exp-log_binary64` `difference-of-squares_binary64`
4×	`associate--l+_binary64`
3×	`add-log-exp_binary64` `flip3--_binary64` `add-cbrt-cube_binary64` `flip--_binary64`
2×	`flip3-+_binary64` `associate--l-_binary64` `distribute-lft-out_binary64` `associate--r-_binary64` `rem-log-exp_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64`

Counts

3 → 62

Calls

3 calls:

10.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
3.0ms	(log.f64 (+.f64 1 x))
4.0ms	(log.f64 (-.f64 1 x))

series12.0ms

Counts

3 → 9

Calls

3 calls:

7.0ms	(-.f64 (log.f64 (+.f64 1 x)) (log.f64 (-.f64 1 x)))
3.0ms	(log.f64 (+.f64 1 x))
3.0ms	(log.f64 (-.f64 1 x))

simplify77.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4881	681
1	4881	681

prune62.0ms

Filtered

53 candidates to 71 candidates (-34.0%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	70	1	71
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	71	3	74

Merged error: 0b

Counts

74 → 3

regimes26.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	17
1	19	17

end0.0ms

sample2.9s

Algorithm

intervals

Results

1.7s	3457×	body	1280	valid
726.0ms	2463×	body	640	valid
228.0ms	1231×	body	320	valid
75.0ms	649×	body	160	valid
11.0ms	200×	body	80	valid

Details

analyze8.0ms

sample101.0ms

simplify194.0ms

prune9.0ms

localize7.0ms

rewrite22.0ms

series9.0ms

simplify55.0ms

prune98.0ms

localize10.0ms

rewrite13.0ms

series12.0ms

simplify44.0ms

prune60.0ms

localize12.0ms

rewrite16.0ms

series14.0ms

simplify61.0ms

prune72.0ms

localize7.0ms

rewrite19.0ms

series12.0ms

simplify77.0ms

prune62.0ms

regimes26.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample2.9s

Profiling