Details

analyze99.0ms

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	8×	body	80	invalid

simplify5.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	37	11
1	37	11

prune8.0ms

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

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

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` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_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:

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

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify40.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5246	437

prune44.0ms

Filtered

27 candidates to 41 candidates (-51.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	38	3	41
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	39	4	43

Merged error: 0.0b

Counts

43 → 4

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

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:

6.0ms	(.f64 y (+.f64 y (.f64 x 2)))
5.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 y (*.f64 x 2))))

series13.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify57.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	4939	437
1	4939	437

prune40.0ms

Filtered

28 candidates to 41 candidates (-46.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	41	4	45

Merged error: 0.0b

Counts

45 → 4

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
0.0b	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
5.5b	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))
5.5b	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-log-exp_binary64` `add-sqr-sqrt_binary64`
6×	`*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`flip3-+_binary64` `associate-+l+_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64` `sqrt-div_binary64`
2×	`pow1/2_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

4 → 56

Calls

4 calls:

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

series39.0ms

Counts

4 → 12

Calls

4 calls:

7.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
9.0ms	(+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y))
12.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))
11.0ms	(sqrt.f64 (+.f64 (.f64 x (+.f64 x (.f64 2 y))) (*.f64 y y)))

simplify30.0ms

Algorithm

egg-herbie

Counts

68 → 68

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	6010	950

prune71.0ms

Filtered

50 candidates to 68 candidates (-36.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	68	0	68
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	68	4	72

Merged error: 0.0b

Counts

72 → 4

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))

rewrite17.0ms

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

series14.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify74.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4943	371
1	4943	371

prune25.0ms

Filtered

23 candidates to 30 candidates (-30.4%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	30	4	34

Merged error: 0.0b

Counts

34 → 4

regimes114.0ms

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	12	11
1	12	11

end0.0ms

sample411.0ms

Algorithm

intervals

Results

273.0ms	8000×	body	80	valid
7.0ms	212×	body	80	invalid

Details

analyze99.0ms

sample16.0ms

simplify5.0ms

prune8.0ms

localize10.0ms

rewrite14.0ms

series13.0ms

simplify40.0ms

prune44.0ms

localize7.0ms

rewrite12.0ms

series13.0ms

simplify57.0ms

prune40.0ms

localize10.0ms

rewrite28.0ms

series39.0ms

simplify30.0ms

prune71.0ms

localize8.0ms

rewrite17.0ms

series14.0ms

simplify74.0ms

prune25.0ms

regimes114.0ms

bsearch0.0ms

simplify3.0ms

end0.0ms

sample411.0ms

Profiling