Details

analyze5.0ms

Algorithm

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
50%	25%	25%	4
50%	12.5%	37.5%	5
50%	6.2%	43.8%	6
50%	3.1%	46.9%	7
50%	1.6%	48.5%	8
50%	0.8%	49.2%	9
50%	0.4%	49.6%	10
50.2%	0.2%	49.6%	11
50.2%	0.1%	49.7%	12
50.2%	0%	49.8%	13
50.2%	0%	49.8%	14

sample12.0ms

Algorithm

intervals

Results

7.0ms

256×

body

valid

simplify91.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4859	9
1	4859	9

prune3.0ms

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: 0.0b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 1)
0.0b	(exp.f64 (-.f64 (*.f64 x x) 1))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-log-exp_binary64`
6×	`exp-prod_binary64`
5×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
4×	`difference-of-squares_binary64`
3×	`add-cube-cbrt_binary64`
2×	`sub-neg_binary64` `pow1_binary64` `diff-log_binary64` `difference-of-sqr-1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `rem-exp-log_binary64`
1×	`flip3--_binary64` `exp-diff_binary64` `exp-sum_binary64` `flip--_binary64`

Counts

2 → 31

Calls

2 calls:

4.0ms	(-.f64 (*.f64 x x) 1)
5.0ms	(exp.f64 (-.f64 (*.f64 x x) 1))

series39.0ms

Counts

2 → 6

Calls

2 calls:

27.0ms	(-.f64 (*.f64 x x) 1)
12.0ms	(exp.f64 (-.f64 (*.f64 x x) 1))

simplify65.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5174	360

prune28.0ms

Filtered

26 candidates to 37 candidates (-42.3%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	35	2	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	36	2	38

Merged error: 0b

Counts

38 → 2

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 1)
0.0b	(pow.f64 E.f64 (-.f64 (*.f64 x x) 1))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

6×	`*-un-lft-identity_binary64` `pow-unpow_binary64` `add-sqr-sqrt_binary64`
4×	`add-log-exp_binary64` `add-cube-cbrt_binary64` `difference-of-squares_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `unpow-prod-down_binary64`
2×	`sub-neg_binary64` `difference-of-sqr-1_binary64` `add-cbrt-cube_binary64` `pow-exp_binary64`
1×	`pow-to-exp_binary64` `flip3--_binary64` `diff-log_binary64` `pow-pow_binary64` `sqr-pow_binary64` `unpow-prod-up_binary64` `pow-sub_binary64` `e-exp-1_binary64` `flip--_binary64`

Counts

2 → 37

Calls

2 calls:

4.0ms	(-.f64 (*.f64 x x) 1)
5.0ms	(pow.f64 E.f64 (-.f64 (*.f64 x x) 1))

series41.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(-.f64 (*.f64 x x) 1)
17.0ms	(pow.f64 E.f64 (-.f64 (*.f64 x x) 1))

simplify48.0ms

Algorithm

egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5267	484

prune21.0ms

Filtered

29 candidates to 43 candidates (-48.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	43	2	45

Merged error: 0b

Counts

45 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 x x) 1)
0.0b	(exp.f64 (/.f64 (+.f64 -1 (pow.f64 x 4)) (+.f64 (*.f64 x x) 1)))
0.0b	(/.f64 (+.f64 -1 (pow.f64 x 4)) (+.f64 (*.f64 x x) 1))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64`
24×	`times-frac_binary64`
20×	`add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
18×	`exp-prod_binary64`
7×	`distribute-lft-out_binary64`
6×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`flip3-+_binary64` `associate-/r/_binary64` `associate-/l*_binary64` `flip-+_binary64`
3×	`associate-/r*_binary64` `pow1_binary64`
2×	`associate-/l/_binary64` `div-inv_binary64`
1×	`cbrt-undiv_binary64` `rem-exp-log_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 72

Calls

3 calls:

4.0ms	(+.f64 (*.f64 x x) 1)
10.0ms	(exp.f64 (/.f64 (+.f64 -1 (pow.f64 x 4)) (+.f64 (*.f64 x x) 1)))
11.0ms	(/.f64 (+.f64 -1 (pow.f64 x 4)) (+.f64 (*.f64 x x) 1))

series120.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(+.f64 (*.f64 x x) 1)
19.0ms	(exp.f64 (/.f64 (+.f64 -1 (pow.f64 x 4)) (+.f64 (*.f64 x x) 1)))
79.0ms	(/.f64 (+.f64 -1 (pow.f64 x 4)) (+.f64 (*.f64 x x) 1))

simplify68.0ms

Algorithm

egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4972	1382
1	4972	1382

prune64.0ms

Filtered

60 candidates to 81 candidates (-35.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	81	2	83

Merged error: 0b

Counts

83 → 2

regimes14.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	11
1	19	11

end0.0ms

sample374.0ms

Algorithm

intervals

Results

268.0ms	8000×	body	80	valid
0.0ms	3×	body	80	invalid

Details

analyze5.0ms

sample12.0ms

simplify91.0ms

prune3.0ms

localize5.0ms

rewrite10.0ms

series39.0ms

simplify65.0ms

prune28.0ms

localize5.0ms

rewrite10.0ms

series41.0ms

simplify48.0ms

prune21.0ms

localize9.0ms

rewrite28.0ms

series120.0ms

simplify68.0ms

prune64.0ms

regimes14.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample374.0ms

Profiling