Details

sample24.0ms

Algorithm

intervals

Results

14.0ms

438×

body

valid

simplify10.0ms

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

prune4.0ms

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))

series63.0ms

Counts

2 → 6

Calls

2 calls:

41.0ms	(+ (* x x) (* (* x 2.0) y))
22.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify36.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (31.0ms)

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

prune85.0ms

Pruning

3 alts after pruning (3 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))
2.0ms	(+ (fma x x (* (* x 2.0) y)) (* y y))

series71.0ms

Counts

2 → 6

Calls

2 calls:

44.0ms	(fma x x (* (* x 2.0) y))
26.0ms	(+ (fma x x (* (* x 2.0) y)) (* y y))

simplify61.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (58.0ms)

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

prune94.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (fma x x (* (* x 2.0) y))) (cbrt (fma x x (* (* x 2.0) y))))
11.3b	(cbrt (fma x x (* (* x 2.0) y)))
11.3b	(cbrt (fma x x (* (* x 2.0) y)))
11.3b	(cbrt (fma x x (* (* x 2.0) y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 81

Calls

4 calls:

8.0ms	(* (cbrt (fma x x (* (* x 2.0) y))) (cbrt (fma x x (* (* x 2.0) y))))
0.0ms	(cbrt (fma x x (* (* x 2.0) y)))
0.0ms	(cbrt (fma x x (* (* x 2.0) y)))
1.0ms	(cbrt (fma x x (* (* x 2.0) y)))

series966.0ms

Counts

4 → 12

Calls

4 calls:

241.0ms	(* (cbrt (fma x x (* (* x 2.0) y))) (cbrt (fma x x (* (* x 2.0) y))))
248.0ms	(cbrt (fma x x (* (* x 2.0) y)))
243.0ms	(cbrt (fma x x (* (* x 2.0) y)))
233.0ms	(cbrt (fma x x (* (* x 2.0) y)))

simplify51.0ms

Algorithm

egg-herbie

Counts

93 → 93

Iterations

Useful iterations: 3 (42.0ms)

Iter	Nodes	Cost
0	147	760
1	471	694
2	1762	636
3	5001	619

prune252.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (* x x) (* (* x 2.0) y))
0.0b	(fma (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (* y y))
10.8b	(sqrt (+ (* x x) (* (* x 2.0) y)))
10.8b	(sqrt (+ (* x x) (* (* x 2.0) y)))

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod` `add-log-exp`
4×	`add-exp-log` `expm1-log1p-u` `sqrt-div` `add-cbrt-cube` `log1p-expm1-u`
3×	`flip3-+` `flip-+`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2`
1×	`+-commutative` `fma-def` `sum-log` `fma-udef`

Counts

4 → 58

Calls

4 calls:

3.0ms	(+ (* x x) (* (* x 2.0) y))
0.0ms	(fma (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (* y y))
3.0ms	(sqrt (+ (* x x) (* (* x 2.0) y)))
4.0ms	(sqrt (+ (* x x) (* (* x 2.0) y)))

series251.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(+ (* x x) (* (* x 2.0) y))
87.0ms	(fma (sqrt (+ (* x x) (* (* x 2.0) y))) (sqrt (+ (* x x) (* (* x 2.0) y))) (* y y))
64.0ms	(sqrt (+ (* x x) (* (* x 2.0) y)))
62.0ms	(sqrt (+ (* x x) (* (* x 2.0) y)))

simplify39.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	225	576
1	969	488
2	5001	470

prune218.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes32.0ms

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

sample578.0ms

Algorithm

intervals

Results

370.0ms

14290×

body

valid