Details

sample21.0ms

Algorithm

intervals

Results

13.0ms

357×

body

valid

simplify10.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	3
1	32	3
2	70	3
3	90	3
4	97	3
5	97	3

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 26

Calls

1 calls:

12.0ms

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

series45.0ms

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify30.0ms

Algorithm

egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	167	140
1	840	114
2	5002	114

prune39.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite15.0ms

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`
1×	`+-commutative` `neg-mul-1` `flip3-+` `associate-l` `unsub-neg` `sum-log` `*-commutative` `flip-+` `distribute-lft-out`

Counts

2 → 40

Calls

2 calls:

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

series105.0ms

Counts

2 → 6

Calls

2 calls:

71.0ms	(+ (* (* x y) 1.0) (* (* x y) (- y)))
34.0ms	(* (* x y) (- y))

simplify56.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	242	241
1	1458	200
2	5002	195

prune78.0ms

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×	`frac-times` `add-cbrt-cube` `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 → 93

Calls

4 calls:

47.0ms	(* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))))
8.0ms	(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))))

series701.0ms

Counts

4 → 12

Calls

4 calls:

248.0ms	(* (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))) (cbrt (+ (* (* x y) 1.0) (* (* x y) (- y)))))
149.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
152.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))
151.0ms	(cbrt (+ (* (* x y) 1.0) (* (* x y) (- y))))

simplify76.0ms

Algorithm

egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	441	1995
1	1590	1855
2	5002	1724

prune317.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (* (* x y) 1.0) (* x (* y (- y))))
9.1b	(* x (* y (- y)))

rewrite15.0ms

Algorithm

rewrite-expression-head

Rules

7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`distribute-rgt-neg-out`
4×	`add-log-exp`
3×	`add-sqr-sqrt` `add-cube-cbrt` `-un-lft-identity` `associate-l*` `pow-prod-down` `prod-exp` `cbrt-unprod`
1×	`+-commutative` `flip3-+` `associate-r` `unsub-neg` `sum-log` `*-commutative` `flip-+`

Counts

2 → 32

Calls

2 calls:

7.0ms	(+ (* (* x y) 1.0) (* x (* y (- y))))
7.0ms	(* x (* y (- y)))

series105.0ms

Counts

2 → 6

Calls

2 calls:

74.0ms	(+ (* (* x y) 1.0) (* x (* y (- y))))
30.0ms	(* x (* y (- y)))

simplify36.0ms

Algorithm

egg-herbie

Counts

38 → 38

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	193	222
1	865	188
2	5001	169

prune66.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

regimes33.0ms

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

sample562.0ms

Algorithm

intervals

Results

393.0ms

10751×

body

valid