Details

analyze123.0ms

Algorithm

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
39%	25%	36%	9
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14

sample25.0ms

Algorithm

intervals

Results

14.0ms	256×	body	80	valid
0.0ms	2×	body	80	invalid

simplify8.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	37	11
1	37	11

prune13.0ms

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: 0.0b

Counts

2 → 2

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2.0) y)) (.f64 y y))
0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 x 2.0) y))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp_binary64`
4×	`sum-log_binary64`
2×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64`
1×	`associate-+l+_binary64`

Counts

2 → 24

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2.0) y)) (.f64 y y))
7.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 x 2.0) y))

series17.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2.0) y)) (.f64 y y))
10.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 x 2.0) y))

simplify47.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4998	373
1	4998	373

prune27.0ms

Filtered

21 candidates to 30 candidates (-42.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	30	2	32

Merged error: 0b

Counts

32 → 2

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (*.f64 y y))))
6.8b	(cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (*.f64 y y)))
6.8b	(cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (*.f64 y y)))
6.8b	(cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (*.f64 y y)))

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
11×	`pow1_binary64`
9×	`flip3-+_binary64` `pow1/3_binary64` `flip-+_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` `frac-times_binary64`
2×	`pow-prod-down_binary64` `pow-prod-up_binary64` `associate-r/_binary64` `pow-sqr_binary64` `associate-l/_binary64`
1×	`cbrt-unprod_binary64` `pow-plus_binary64` `prod-exp_binary64` `pow2_binary64` `*-commutative_binary64`

Counts

4 → 87

Calls

4 calls:

16.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (*.f64 y y))))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (*.f64 y y)))
8.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (*.f64 y y)))
6.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (*.f64 y y)))

series163.0ms

Counts

4 → 12

Calls

4 calls:

45.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (.f64 y y))) (cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (*.f64 y y))))
38.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (*.f64 y y)))
41.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (*.f64 y y)))
39.0ms	(cbrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2.0 y))) (*.f64 y y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5477	2068

prune146.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	99	2	101

Merged error: 0b

Counts

101 → 2

regimes145.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	13
1	13	13

end0.0ms

sample393.0ms

Algorithm

intervals

Results

265.0ms	8000×	body	80	valid
7.0ms	216×	body	80	invalid

Details

analyze123.0ms

sample25.0ms

simplify8.0ms

prune13.0ms

localize12.0ms

rewrite15.0ms

series17.0ms

simplify47.0ms

prune27.0ms

localize10.0ms

rewrite38.0ms

series163.0ms

simplify39.0ms

prune146.0ms

regimes145.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample393.0ms

Profiling