Details

sample28.0ms

Algorithm

intervals

Results

14.0ms

484×

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

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))

series29.0ms

Counts

1 → 3

Calls

1 calls:

29.0ms

(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

prune33.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma y 2.0 x) x (* y y))
0.0b	(* (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))))
6.3b	(sqrt (fma (fma y 2.0 x) x (* y y)))
6.3b	(sqrt (fma (fma y 2.0 x) x (* y y)))

rewrite19.0ms

Algorithm

rewrite-expression-head

Rules

28×	`add-sqr-sqrt`
24×	`sqrt-prod`
21×	`pow1`
14×	`add-cube-cbrt` `*-un-lft-identity`
10×	`sqrt-pow1` `pow1/2`
8×	`swap-sqr`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
5×	`pow-prod-up`
4×	`expm1-log1p-u` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down` `pow-sqr`
2×	`rem-sqrt-square`
1×	`pow2` `pow-plus` `sqrt-unprod` `prod-exp` `rem-square-sqrt` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 91

Calls

4 calls:

0.0ms	(fma (fma y 2.0 x) x (* y y))
13.0ms	(* (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))))
2.0ms	(sqrt (fma (fma y 2.0 x) x (* y y)))
2.0ms	(sqrt (fma (fma y 2.0 x) x (* y y)))

series192.0ms

Counts

4 → 12

Calls

4 calls:

29.0ms	(fma (fma y 2.0 x) x (* y y))
32.0ms	(* (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (fma (fma y 2.0 x) x (* y y))))
64.0ms	(sqrt (fma (fma y 2.0 x) x (* y y)))
67.0ms	(sqrt (fma (fma y 2.0 x) x (* y y)))

simplify146.0ms

Algorithm

egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 3 (137.0ms)

Iter	Nodes	Cost
0	141	562
1	488	484
2	3117	464
3	5003	449

prune218.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(fma (fma y 2.0 x) x (* y y))
0.0b	(* (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (+ (* (fma y 2.0 x) x) (* y y))))
6.3b	(sqrt (+ (* (fma y 2.0 x) x) (* y y)))
6.3b	(sqrt (fma (fma y 2.0 x) x (* y y)))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

20×	`add-sqr-sqrt`
16×	`sqrt-prod`
10×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
6×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
4×	`expm1-log1p-u` `sqrt-pow1` `pow1/2` `sqrt-div` `log1p-expm1-u` `add-log-exp` `unswap-sqr`
3×	`pow-prod-down`
2×	`rem-sqrt-square` `flip3-+` `associate-*r/` `flip-+`
1×	`sqrt-unprod` `prod-exp` `*-commutative` `cbrt-unprod` `fma-udef`

Counts

4 → 76

Calls

4 calls:

0.0ms	(fma (fma y 2.0 x) x (* y y))
30.0ms	(* (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (+ (* (fma y 2.0 x) x) (* y y))))
8.0ms	(sqrt (+ (* (fma y 2.0 x) x) (* y y)))
2.0ms	(sqrt (fma (fma y 2.0 x) x (* y y)))

series245.0ms

Counts

4 → 12

Calls

4 calls:

30.0ms	(fma (fma y 2.0 x) x (* y y))
86.0ms	(* (sqrt (fma (fma y 2.0 x) x (* y y))) (sqrt (+ (* (fma y 2.0 x) x) (* y y))))
65.0ms	(sqrt (+ (* (fma y 2.0 x) x) (* y y)))
64.0ms	(sqrt (fma (fma y 2.0 x) x (* y y)))

simplify99.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 3 (91.0ms)

Iter	Nodes	Cost
0	231	614
1	799	496
2	3284	469
3	5001	467

prune258.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b	(fma (fma x 2.0 y) y (* 1.0 (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 (fma x 2.0 y) y (* 1.0 (pow x 2)))

series33.0ms

Counts

1 → 3

Calls

1 calls:

33.0ms

(fma (fma x 2.0 y) y (* 1.0 (pow x 2)))

simplify118.0ms

Algorithm

egg-herbie

Counts

13 → 13

Iterations

Useful iterations: 1 (4.0ms)

Iter	Nodes	Cost
0	46	80
1	113	65
2	514	65
3	2951	65
4	5001	65

prune32.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes43.0ms

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	6	3

end0.0ms

sample665.0ms

Algorithm

intervals

Results

361.0ms

14278×

body

valid