Details

sample26.0ms

Algorithm

intervals

Results

15.0ms

438×

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

prune5.0ms

Filtered

1 candidates to 1 candidates (100.0%)

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))

rewrite18.0ms

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

series65.0ms

Counts

2 → 6

Calls

2 calls:

42.0ms	(+ (* x x) (* (* x 2.0) y))
23.0ms	(+ (+ (* x x) (* (* x 2.0) y)) (* y y))

simplify35.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (31.0ms)

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

prune89.0ms

Filtered

38 candidates to 30 candidates (78.9%)

Pruning

3 alts after pruning (3 fresh and 0 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))

series87.0ms

Counts

2 → 6

Calls

2 calls:

59.0ms	(fma x x (* (* x 2.0) y))
27.0ms	(+ (fma x x (* (* x 2.0) y)) (* y y))

simplify59.0ms

Algorithm

egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 3 (56.0ms)

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

prune79.0ms

Filtered

33 candidates to 28 candidates (84.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

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

rewrite28.0ms

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:

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

series986.0ms

Counts

4 → 12

Calls

4 calls:

265.0ms	(* (cbrt (+ (* x x) (* (* x 2.0) y))) (cbrt (+ (* x x) (* (* x 2.0) y))))
236.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
242.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))
243.0ms	(cbrt (+ (* x x) (* (* x 2.0) y)))

simplify91.0ms

Algorithm

egg-herbie

Counts

107 → 107

Iterations

Useful iterations: 3 (80.0ms)

Iter	Nodes	Cost
0	228	1227
1	802	1147
2	3442	1067
3	5001	1060

prune303.0ms

Filtered

107 candidates to 86 candidates (80.4%)

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

rewrite3.0ms

Algorithm

rewrite-expression-head

Rules

8×	`add-sqr-sqrt`
6×	`pow1` `add-cube-cbrt` `*-un-lft-identity` `sqrt-prod`
4×	`add-exp-log` `expm1-log1p-u` `add-cbrt-cube` `log1p-expm1-u` `add-log-exp`
2×	`rem-sqrt-square` `sqrt-pow1` `pow1/2` `fma-udef`

Counts

4 → 50

Calls

4 calls:

0.0ms	(fma x x (* (* x 2.0) y))
0.0ms	(fma (sqrt (fma x x (* (* x 2.0) y))) (sqrt (fma x x (* (* x 2.0) y))) (* y y))
1.0ms	(sqrt (fma x x (* (* x 2.0) y)))
1.0ms	(sqrt (fma x x (* (* x 2.0) y)))

series291.0ms

Counts

4 → 12

Calls

4 calls:

42.0ms	(fma x x (* (* x 2.0) y))
104.0ms	(fma (sqrt (fma x x (* (* x 2.0) y))) (sqrt (fma x x (* (* x 2.0) y))) (* y y))
74.0ms	(sqrt (fma x x (* (* x 2.0) y)))
71.0ms	(sqrt (fma x x (* (* x 2.0) y)))

simplify61.0ms

Algorithm

egg-herbie

Counts

62 → 62

Iterations

Useful iterations: 3 (55.0ms)

Iter	Nodes	Cost
0	145	404
1	428	336
2	1866	326
3	5001	320

prune180.0ms

Filtered

62 candidates to 53 candidates (85.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes29.0ms

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

sample640.0ms

Algorithm

intervals

Results

404.0ms

14290×

body

valid