Details

analyze104.0ms

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

sample16.0ms

Algorithm

intervals

Results

8.0ms	256×	body	80	valid
0.0ms	5×	body	80	invalid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	37	11
1	37	11

prune5.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 (*.f64 x 2) y))
0.0b	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))

rewrite14.0ms

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:

5.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 x 2) y))
8.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))

series18.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 x 2) y))
8.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))

simplify87.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	4943	371
1	4943	371

prune19.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	29	1	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	29	2	31

Merged error: 0.0b

Counts

31 → 2

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y (+.f64 (*.f64 x 2) y)))
0.0b	(.f64 y (+.f64 (.f64 x 2) y))

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

5.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 (*.f64 x 2) y)))
7.0ms	(.f64 y (+.f64 (.f64 x 2) y))

series13.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 (*.f64 x 2) y)))
6.0ms	(.f64 y (+.f64 (.f64 x 2) y))

simplify49.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4951	437
1	4951	437

prune23.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	40	1	41
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	40	3	43

Merged error: 0b

Counts

43 → 3

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 (*.f64 x 2) y))
0.0b	(sqrt.f64 (+.f64 y (*.f64 x 2)))
0.1b	(.f64 y (sqrt.f64 (+.f64 y (.f64 x 2))))
0.2b	(.f64 (.f64 y (sqrt.f64 (+.f64 y (.f64 x 2)))) (sqrt.f64 (+.f64 (.f64 x 2) y)))

rewrite30.0ms

Algorithm

rewrite-expression-head

Rules

18×	`sqrt-div_binary64`
17×	`add-sqr-sqrt_binary64`
13×	`pow1_binary64` `sqrt-prod_binary64`
12×	`associate-r_binary64`
11×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
10×	`associate-*r/_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
4×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `associate-l_binary64` `prod-exp_binary64` `frac-times_binary64`
2×	`pow1/2_binary64` `sqrt-pow1_binary64` `unswap-sqr_binary64` `rem-sqrt-square_binary64` `associate-l/_binary64` `-commutative_binary64`

Counts

4 → 83

Calls

4 calls:

5.0ms	(sqrt.f64 (+.f64 (*.f64 x 2) y))
3.0ms	(sqrt.f64 (+.f64 y (*.f64 x 2)))
7.0ms	(.f64 y (sqrt.f64 (+.f64 y (.f64 x 2))))
13.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 y (.f64 x 2)))) (sqrt.f64 (+.f64 (.f64 x 2) y)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

8.0ms	(sqrt.f64 (+.f64 (*.f64 x 2) y))
10.0ms	(sqrt.f64 (+.f64 y (*.f64 x 2)))
16.0ms	(.f64 y (sqrt.f64 (+.f64 y (.f64 x 2))))
15.0ms	(.f64 (.f64 y (sqrt.f64 (+.f64 y (.f64 x 2)))) (sqrt.f64 (+.f64 (.f64 x 2) y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4957	1156
1	4957	1156

prune58.0ms

Filtered

70 candidates to 95 candidates (-35.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	95	3	98

Merged error: 0b

Counts

98 → 3

regimes67.0ms

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

sample398.0ms

Algorithm

intervals

Results

265.0ms	8000×	body	80	valid
6.0ms	201×	body	80	invalid

Details

analyze104.0ms

sample16.0ms

simplify7.0ms

prune5.0ms

localize8.0ms

rewrite14.0ms

series18.0ms

simplify87.0ms

prune19.0ms

localize7.0ms

rewrite13.0ms

series13.0ms

simplify49.0ms

prune23.0ms

localize10.0ms

rewrite30.0ms

series50.0ms

simplify58.0ms

prune58.0ms

regimes67.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample398.0ms

Profiling