Details

sample21.0ms

Algorithm

intervals

Results

13.0ms

357×

body

valid

simplify13.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	74	3
3	112	3
4	123	3
5	127	3
6	127	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.1b	(* (* x y) (- 1.0 y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

18×	`prod-diff`
16×	`add-sqr-sqrt` `*-un-lft-identity`
14×	`add-cube-cbrt`
11×	`distribute-rgt-in` `distribute-lft-in`
6×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`associate-r`
3×	`pow-prod-down` `prod-exp` `cbrt-unprod`
2×	`sub-neg` `associate-*r/`
1×	`expm1-log1p-u` `flip3--` `associate-l` `*-commutative` `flip--` `log1p-expm1-u` `distribute-lft-out--` `add-log-exp` `difference-of-squares`

Counts

1 → 46

Calls

1 calls:

14.0ms

(* (* x y) (- 1.0 y))

series43.0ms

Counts

1 → 3

Calls

1 calls:

43.0ms

(* (* x y) (- 1.0 y))

simplify43.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (38.0ms)

Iter	Nodes	Cost
0	292	436
1	1402	284
2	5001	272

prune52.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) 1.0) (* (* x y) (- y)))
0.1b	(* (* x y) (- y))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

10×	`associate-r`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
5×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`add-log-exp`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `pow-prod-down` `prod-exp` `distribute-rgt-neg-out` `cbrt-unprod`
2×	`expm1-log1p-u` `log1p-expm1-u`
1×	`+-commutative` `neg-mul-1` `fma-def` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 45

Calls

2 calls:

6.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
8.0ms	(* (* x y) (- y))

series108.0ms

Counts

2 → 6

Calls

2 calls:

76.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
32.0ms	(* (* x y) (- y))

simplify58.0ms

Algorithm

egg-herbie

Counts

51 → 51

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	252	263
1	1522	222
2	5002	217

prune93.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b	(* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))))
10.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
10.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
10.7b	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))

rewrite68.0ms

Algorithm

rewrite-expression-head

Rules

32×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
7×	`swap-sqr` `associate-r` `associate-l` `distribute-lft-out`
6×	`add-exp-log`
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 → 101

Calls

4 calls:

49.0ms	(* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))))
5.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
6.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
6.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))

series631.0ms

Counts

4 → 12

Calls

4 calls:

175.0ms	(* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))))
151.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
156.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
149.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))

simplify66.0ms

Algorithm

egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	462	2066
1	1706	1914
2	5002	1809

prune324.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) 1.0) (pow (* -1 (* x (pow y 2))) 1))
9.1b	(* x (pow y 2))

rewrite14.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-sqr-sqrt`
8×	`associate-r`
7×	`add-exp-log`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`unpow-prod-down` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
3×	`associate-l` `prod-exp`
2×	`pow1` `expm1-log1p-u` `log1p-expm1-u` `unpow2` `sqr-pow`
1×	`+-commutative` `pow-to-exp` `fma-def` `flip3-+` `pow-exp` `sum-log` `*-commutative` `cbrt-unprod` `flip-+`

Counts

2 → 43

Calls

2 calls:

7.0ms	(+ (* (* x y) 1.0) (pow (* -1 (* x (pow y 2))) 1))
6.0ms	(* x (pow y 2))

series112.0ms

Counts

2 → 6

Calls

2 calls:

78.0ms	(+ (* (* x y) 1.0) (pow (* -1 (* x (pow y 2))) 1))
33.0ms	(* x (pow y 2))

simplify43.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 2 (39.0ms)

Iter	Nodes	Cost
0	212	272
1	1039	227
2	5001	209

prune109.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes36.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	6
1	18	6
2	24	6
3	24	6

end0.0ms

sample558.0ms

Algorithm

intervals

Results

393.0ms

10751×

body

valid