Details

sample24.0ms

Algorithm

intervals

Results

11.0ms

481×

body

valid

simplify11.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 3 (8.0ms)

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

localize12.0ms

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))

rewrite41.0ms

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:

8.0ms	(+ (* x x) (* (* x 2.0) y))
33.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

series63.0ms

Counts

2 → 6

Calls

2 calls:

40.0ms	(+ (* x x) (* (* x 2.0) y))
22.0ms	(+ (+ (* 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

prune92.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

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:

1.0ms

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

series24.0ms

Counts

1 → 3

Calls

1 calls:

24.0ms

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

simplify93.0ms

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

prune35.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))
7.1b	(cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
7.1b	(cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
7.1b	(cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))

rewrite186.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`expm1-log1p-u` `frac-times` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 95

Calls

4 calls:

133.0ms	(* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))
19.0ms	(cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
16.0ms	(cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
16.0ms	(cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))

series557.0ms

Counts

4 → 12

Calls

4 calls:

146.0ms	(* (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))) (cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y))))
134.0ms	(cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
137.0ms	(cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))
140.0ms	(cbrt (+ (+ (* x x) (* (* x 2.0) y)) (* y y)))

simplify58.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	271	1650
1	1104	1533
2	5002	1436

prune304.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes47.0ms

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	13	6
1	13	6

end0.0ms

sample638.0ms

Algorithm

intervals

Results

351.0ms

14174×

body

valid