Details

Time bar (total: 2.5s)

sample16.0ms

Algorithm
intervals
Results
6.0ms358×body80valid

simplify10.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1323
2703
3903
4973
5973

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

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

rewrite28.0ms

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:
27.0ms
(* (* x y) (- 1.0 y))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(* (* x y) (- 1.0 y))

simplify30.0ms

Algorithm
egg-herbie
Counts
29 → 29
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0167140
1840114
25002114

prune45.0ms

Pruning

7 alts after pruning (7 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)))
0.2b
(* (* x y) (- y))

rewrite40.0ms

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:
19.0ms
(+ (* (* x y) 1.0) (* (* x y) (- y)))
19.0ms
(* (* 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))

simplify57.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0242241
11458200
25002195

prune79.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
37×add-sqr-sqrt
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
11×pow1
10×swap-sqr
9×flip3-- pow1/3 flip-- distribute-lft-out--
8×associate-*r* associate-*l*
7×difference-of-squares
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 → 101
Calls
4 calls:
36.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))

series364.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(* (cbrt (- 1.0 y)) (cbrt (- 1.0 y)))
85.0ms
(cbrt (- 1.0 y))
85.0ms
(cbrt (- 1.0 y))
87.0ms
(cbrt (- 1.0 y))

simplify144.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (135.0ms)

IterNodesCost
0316847
11003807
24436753
35001749

prune282.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))
0.2b
(cbrt (- 1.0 y))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
20×cbrt-prod
16×add-sqr-sqrt *-un-lft-identity
8×add-cube-cbrt cbrt-div
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 60
Calls
4 calls:
6.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))
4.0ms
(cbrt (- 1.0 y))

series355.0ms

Counts
4 → 12
Calls
4 calls:
90.0ms
(cbrt (- 1.0 y))
88.0ms
(cbrt (- 1.0 y))
88.0ms
(cbrt (- 1.0 y))
88.0ms
(cbrt (- 1.0 y))

simplify49.0ms

Algorithm
egg-herbie
Counts
72 → 72
Iterations

Useful iterations: 3 (43.0ms)

IterNodesCost
0183516
1460492
21486480
35001452

prune295.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes57.0ms

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)

IterNodesCost
0146
1186
2246
3246

end0.0ms

sample401.0ms

Algorithm
intervals
Results
183.0ms10783×body80valid