Details

sample50.0ms

Algorithm

intervals

Results

39.0ms

480×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (7.0ms)

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

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

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 (fma y 2.0 x) x (* y y))

series27.0ms

Counts

1 → 3

Calls

1 calls:

27.0ms

(fma (fma y 2.0 x) x (* y y))

simplify95.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	42	68
1	104	52
2	467	52
3	2419	52
4	5001	52

prune32.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

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

14.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
3.0ms	(+ (* x x) (* (* x 2.0) y))

series67.0ms

Counts

2 → 6

Calls

2 calls:

23.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))
43.0ms	(+ (* x x) (* (* x 2.0) 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

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize8.0ms

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

series75.0ms

Counts

2 → 6

Calls

2 calls:

47.0ms	(fma x x (* (* x 2.0) y))
28.0ms	(+ (fma x x (* (* x 2.0) y)) (* y y))

simplify67.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (63.0ms)

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

prune84.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (fma y 2.0 x) (fma y 2.0 x))
0.1b	(* (- (pow y 3)) y)
1.1b	(fma (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x)) (* (- (pow y 3)) y))
30.9b	(/ (fma (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x)) (* (- (pow y 3)) y)) (fma (fma y 2.0 x) x (- (pow y 2))))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

31×	`associate-l`
28×	`add-sqr-sqrt`
24×	`add-cube-cbrt` `*-un-lft-identity`
13×	`pow1`
12×	`distribute-lft-neg-in` `distribute-rgt-neg-in`
10×	`add-exp-log` `add-cbrt-cube`
9×	`times-frac`
6×	`unpow-prod-down` `cube-prod` `associate-r`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp`
3×	`swap-sqr` `associate-/r` `fma-udef` `associate-/l`
2×	`cube-mult` `unpow3` `pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr` `sqr-pow`
1×	`cbrt-undiv` `distribute-lft-neg-out` `pow2` `distribute-rgt-in` `neg-mul-1` `frac-2neg` `distribute-lft-in` `pow-plus` `div-exp` `clear-num` `pow-sqr` `pow-prod-up` `div-inv`

Counts

4 → 114

Calls

4 calls:

3.0ms	(* (fma y 2.0 x) (fma y 2.0 x))
15.0ms	(* (- (pow y 3)) y)
0.0ms	(fma (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x)) (* (- (pow y 3)) y))
2.0ms	(/ (fma (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x)) (* (- (pow y 3)) y)) (fma (fma y 2.0 x) x (- (pow y 2))))

series195.0ms

Counts

4 → 12

Calls

4 calls:

23.0ms	(* (fma y 2.0 x) (fma y 2.0 x))
39.0ms	(* (- (pow y 3)) y)
62.0ms	(fma (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x)) (* (- (pow y 3)) y))
70.0ms	(/ (fma (pow x 2) (* (fma y 2.0 x) (fma y 2.0 x)) (* (- (pow y 3)) y)) (fma (fma y 2.0 x) x (- (pow y 2))))

simplify79.0ms

Algorithm

egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 2 (66.0ms)

Iter	Nodes	Cost
0	392	1046
1	1943	932
2	5002	914

prune405.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes35.0ms

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

sample1.3s

Algorithm

intervals

Results

1.1s

14396×

body

valid