Details

sample23.0ms

Algorithm

intervals

Results

12.0ms

470×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (9.0ms)

Iter	Nodes	Cost
0	18	5
1	46	4
2	77	4
3	87	3
4	87	3

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite17.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-log-exp`
4×	`fma-def` `sum-log`
3×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `+-commutative` `expm1-log1p-u` `flip3-+` `add-cbrt-cube` `flip-+` `log1p-expm1-u`
1×	`associate-+l+`

Counts

2 → 32

Calls

2 calls:

3.0ms	(+ (* x x) (* (* x 2.0) y))
13.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series67.0ms

Counts

2 → 6

Calls

2 calls:

39.0ms	(+ (* x x) (* (* x 2.0) y))
28.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify39.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (35.0ms)

Iter	Nodes	Cost
0	204	251
1	1082	223
2	5002	196

prune90.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `fma-def` `*-un-lft-identity`
2×	`pow1` `add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `fma-udef` `log1p-expm1-u`
1×	`+-commutative` `associate-+l+` `flip3-+` `sum-log` `flip-+`

Counts

2 → 27

Calls

2 calls:

0.0ms	(fma x x (* (* x 2.0) y))
3.0ms	(+ (fma x x (* (* x 2.0) y)) (* y y))

series74.0ms

Counts

2 → 6

Calls

2 calls:

46.0ms	(fma x x (* (* x 2.0) y))
28.0ms	(+ (fma x x (* (* x 2.0) y)) (* y y))

simplify62.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (59.0ms)

Iter	Nodes	Cost
0	121	188
1	478	167
2	1983	156
3	5002	149

prune78.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma y (fma 2.0 x y) (pow x 2))

rewrite1.0ms

Algorithm

rewrite-expression-head

Rules

1×	`pow1` `add-exp-log` `add-sqr-sqrt` `expm1-log1p-u` `add-cube-cbrt` `*-un-lft-identity` `add-cbrt-cube` `fma-udef` `log1p-expm1-u` `add-log-exp`

Counts

1 → 10

Calls

1 calls:

0.0ms

(fma y (fma 2.0 x y) (pow x 2))

series25.0ms

Counts

1 → 3

Calls

1 calls:

25.0ms

(fma y (fma 2.0 x y) (pow x 2))

simplify87.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	41	68
1	97	52
2	453	52
3	2426	52
4	5002	52

prune27.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes27.0ms

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	11	5
1	11	5

end0.0ms

sample583.0ms

Algorithm

intervals

Results

365.0ms

14352×

body

valid