Details

sample23.0ms

Algorithm

intervals

Results

13.0ms

478×

body

valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 1 (3.0ms)

Iter	Nodes	Cost
0	17	6
1	37	5
2	46	5
3	46	5

prune4.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

6×	`add-sqr-sqrt`
4×	`pow1` `add-exp-log` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `add-log-exp`
3×	`associate-r` `associate-l`
2×	`distribute-rgt-in` `associate-+l+` `distribute-lft-in` `flip3-+` `associate-*r/` `flip-+`
1×	`+-commutative` `pow-prod-down` `prod-exp` `sum-log` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

2 → 35

Calls

2 calls:

7.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
6.0ms	(* y (+ (* x 2.0) y))

series57.0ms

Counts

2 → 6

Calls

2 calls:

22.0ms	(+ (* y (+ (* x 2.0) y)) (* x x))
35.0ms	(* y (+ (* x 2.0) y))

simplify35.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 1 (8.0ms)

Iter	Nodes	Cost
0	222	234
1	1119	217
2	5001	217

prune56.0ms

Filtered

41 candidates to 28 candidates (68.3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

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

Merged error: 0b

Counts

43 → 3

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`sum-log`
2×	`pow1` `add-exp-log` `+-commutative` `add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity` `flip3-+` `add-cbrt-cube` `flip-+`
1×	`associate-+l+`

Counts

2 → 24

Calls

2 calls:

4.0ms	(+ (* x x) (* (* x 2.0) y))
6.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series58.0ms

Counts

2 → 6

Calls

2 calls:

37.0ms	(+ (* x x) (* (* x 2.0) y))
22.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify152.0ms

Algorithm

egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 2 (27.0ms)

Iter	Nodes	Cost
0	191	234
1	998	212
2	4902	196
3	5002	196

prune48.0ms

Filtered

30 candidates to 23 candidates (76.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	30	3	33

Merged error: 0b

Counts

33 → 3

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (/ (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (- (* x 2.0) y)) (* x x))
0.0b	(- (* (* x 2.0) (* x 2.0)) (* y y))
0.2b	(* y (- (* (* x 2.0) (* x 2.0)) (* y y)))
12.0b	(/ (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (- (* x 2.0) y))

rewrite43.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-exp-log` `add-cbrt-cube`
10×	`add-sqr-sqrt`
8×	`add-cube-cbrt` `*-un-lft-identity` `add-log-exp`
6×	`pow1`
4×	`flip3--` `associate-r/` `associate-r*` `flip--`
3×	`sub-neg` `times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `associate-/r/` `cbrt-unprod` `associate-/l/` `difference-of-squares`
1×	`+-commutative` `frac-2neg` `flip3-+` `diff-log` `pow-prod-down` `clear-num` `sum-log` `-commutative` `flip-+` `div-inv` `associate-/l` `unswap-sqr`

Counts

4 → 74

Calls

4 calls:

12.0ms	(+ (/ (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (- (* x 2.0) y)) (* x x))
6.0ms	(- (* (* x 2.0) (* x 2.0)) (* y y))
12.0ms	(* y (- (* (* x 2.0) (* x 2.0)) (* y y)))
12.0ms	(/ (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (- (* x 2.0) y))

series231.0ms

Counts

4 → 12

Calls

4 calls:

54.0ms	(+ (/ (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (- (* x 2.0) y)) (* x x))
35.0ms	(- (* (* x 2.0) (* x 2.0)) (* y y))
55.0ms	(* y (- (* (* x 2.0) (* x 2.0)) (* y y)))
87.0ms	(/ (* y (- (* (* x 2.0) (* x 2.0)) (* y y))) (- (* x 2.0) y))

simplify67.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	389	884
1	2125	766
2	5002	766

prune132.0ms

Filtered

86 candidates to 62 candidates (72.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	86	3	89

Merged error: 0b

Counts

89 → 3

regimes41.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	5
1	12	5

end0.0ms

sample611.0ms

Algorithm

intervals

Results

393.0ms

14063×

body

valid