Details

analyze4.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
99.9%	0%	0.1%	1

sample43.0ms

Algorithm

intervals

Results

15.0ms	48×	body	1280	valid
10.0ms	46×	body	640	valid
5.0ms	131×	body	80	valid
3.0ms	20×	body	320	valid
1.0ms	11×	body	160	valid

simplify92.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4759	15
1	4759	15

prune1.0ms

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: 29.6b

Counts

2 → 1

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.8b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

23×	`*-un-lft-identity_binary64`
22×	`add-sqr-sqrt_binary64`
15×	`times-frac_binary64`
11×	`add-cube-cbrt_binary64`
4×	`associate-/r*_binary64` `add-log-exp_binary64` `distribute-lft-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `difference-of-squares_binary64`
3×	`associate-/l*_binary64`
2×	`pow1_binary64` `difference-of-sqr-1_binary64` `associate-/r/_binary64`
1×	`flip3-+_binary64` `sub-neg_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `flip--_binary64` `flip-+_binary64`

Counts

2 → 51

Calls

2 calls:

9.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series69.0ms

Counts

2 → 6

Calls

2 calls:

26.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
44.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

simplify82.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5014	1184

prune64.0ms

Filtered

38 candidates to 57 candidates (-50.0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	55	3	58

Merged error: 0.0b

Counts

58 → 3

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
3.8b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
3.8b	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))

rewrite31.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64`
30×	`*-un-lft-identity_binary64`
18×	`times-frac_binary64`
14×	`add-cube-cbrt_binary64`
11×	`log-pow_binary64`
10×	`exp-prod_binary64`
8×	`difference-of-squares_binary64`
5×	`add-log-exp_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `pow1_binary64` `distribute-lft-out_binary64` `log-prod_binary64` `difference-of-sqr-1_binary64`
3×	`associate-/l*_binary64`
2×	`sub-neg_binary64` `associate-/r/_binary64` `distribute-lft-out--_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `clear-num_binary64` `exp-sum_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `log-div_binary64` `flip--_binary64` `flip-+_binary64`

Counts

3 → 75

Calls

3 calls:

6.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
12.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))

series124.0ms

Counts

3 → 9

Calls

3 calls:

34.0ms	(/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x))))
43.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
47.0ms	(log.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)))

simplify93.0ms

Algorithm

egg-herbie

Counts

84 → 84

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4859	1681
1	4859	1681

prune73.0ms

Filtered

56 candidates to 84 candidates (-50.0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	83	1	84
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	85	2	87

Merged error: 0.0b

Counts

87 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

3.5b	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))))
3.5b	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))))
3.8b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
3.8b	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

rewrite53.0ms

Algorithm

rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64` `log-pow_binary64`
22×	`sqrt-pow1_binary64`
20×	`exp-prod_binary64`
16×	`difference-of-squares_binary64`
14×	`log-prod_binary64`
12×	`times-frac_binary64`
10×	`add-cube-cbrt_binary64`
8×	`add-log-exp_binary64` `pow1_binary64` `difference-of-sqr-1_binary64` `sqrt-prod_binary64`
6×	`add-exp-log_binary64`
4×	`sub-neg_binary64` `add-cbrt-cube_binary64` `distribute-lft-out--_binary64`
2×	`pow1/2_binary64` `flip3--_binary64` `diff-log_binary64` `rem-log-exp_binary64` `exp-diff_binary64` `exp-sum_binary64` `log-div_binary64` `flip--_binary64` `sqrt-div_binary64`

Counts

4 → 94

Calls

4 calls:

13.0ms	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))))
15.0ms	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))))
11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
11.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

series391.0ms

Counts

4 → 12

Calls

4 calls:

154.0ms	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))))
154.0ms	(log.f64 (sqrt.f64 (exp.f64 (-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1))))
41.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)
41.0ms	(-.f64 (/.f64 2 (+.f64 1 (exp.f64 (*.f64 -2 x)))) 1)

simplify111.0ms

Algorithm

egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5293	2444

prune147.0ms

Filtered

72 candidates to 106 candidates (-47.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	106	2	108

Merged error: 0.0b

Counts

108 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b	(*.f64 2/15 (pow.f64 x 5))
0.1b	(*.f64 1/3 (pow.f64 x 3))
17.1b	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64`
19×	`associate-r_binary64`
13×	`add-exp-log_binary64`
10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
8×	`add-log-exp_binary64` `unpow-prod-down_binary64`
7×	`add-cbrt-cube_binary64` `unswap-sqr_binary64`
6×	`associate-l_binary64` `prod-exp_binary64`
4×	`sqr-pow_binary64` `cube-prod_binary64`
3×	`pow1_binary64`
2×	`pow-to-exp_binary64` `diff-log_binary64` `cbrt-unprod_binary64` `pow-exp_binary64` `*-commutative_binary64`
1×	`sub-neg_binary64` `flip3--_binary64` `flip--_binary64` `unpow3_binary64` `associate--l+_binary64` `sum-log_binary64` `cube-mult_binary64`

Counts

3 → 69

Calls

3 calls:

5.0ms	(*.f64 2/15 (pow.f64 x 5))
6.0ms	(*.f64 1/3 (pow.f64 x 3))
6.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

series80.0ms

Counts

3 → 9

Calls

3 calls:

30.0ms	(*.f64 2/15 (pow.f64 x 5))
23.0ms	(*.f64 1/3 (pow.f64 x 3))
27.0ms	(-.f64 (+.f64 x (.f64 2/15 (pow.f64 x 5))) (.f64 1/3 (pow.f64 x 3)))

simplify50.0ms

Algorithm

egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	4948	996
1	4948	996

prune54.0ms

Filtered

49 candidates to 78 candidates (-59.2%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	78	2	80

Merged error: 0.0b

Counts

80 → 2

regimes138.0ms

Accuracy

99.3% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 29.4b

bsearch1.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	84	83
1	84	83

end0.0ms

sample1.0s

Algorithm

intervals

Results

417.0ms	1649×	body	1280	valid
227.0ms	1320×	body	640	valid
135.0ms	4086×	body	80	valid
71.0ms	618×	body	320	valid
25.0ms	327×	body	160	valid

Details

analyze4.0ms

sample43.0ms

simplify92.0ms

prune1.0ms

localize6.0ms

rewrite22.0ms

series69.0ms

simplify82.0ms

prune64.0ms

localize12.0ms

rewrite31.0ms

series124.0ms

simplify93.0ms

prune73.0ms

localize12.0ms

rewrite53.0ms

series391.0ms

simplify111.0ms

prune147.0ms

localize9.0ms

rewrite19.0ms

series80.0ms

simplify50.0ms

prune54.0ms

regimes138.0ms

bsearch1.0ms

simplify4.0ms

end0.0ms

sample1.0s

Profiling