Details

Time bar (total: 4.9s)

sample13.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify14.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0184
1484
21064
31744
41984
52034
62034

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.0b

localize9.0ms

Local error

Found 1 expressions with local error:

15.4b
(/ (- x y) (* (* x 2.0) y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
7×add-sqr-sqrt *-un-lft-identity
5×times-frac associate-/l*
3×cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
2×associate-/l/ distribute-lft-out-- difference-of-squares
1×pow1 flip3-- frac-2neg div-sub clear-num associate-/r* flip-- div-inv add-log-exp
Counts
1 → 30
Calls
1 calls:
8.0ms
(/ (- x y) (* (* x 2.0) y))

series54.0ms

Counts
1 → 3
Calls
1 calls:
54.0ms
(/ (- x y) (* (* x 2.0) y))

simplify29.0ms

Algorithm
egg-herbie
Counts
33 → 33
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0237209
1976172
25002171

prune56.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))
0.2b
(/ 1 (* x 2.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log
8×*-un-lft-identity
7×add-cbrt-cube
6×add-sqr-sqrt
5×pow1 div-inv
4×add-cube-cbrt div-exp distribute-lft-out-- add-log-exp
3×times-frac prod-exp associate-/l*
2×cbrt-undiv rec-exp pow-flip 1-exp
1×sub-neg flip3-- frac-2neg diff-log pow-prod-down clear-num associate-/r* frac-sub flip-- cbrt-unprod inv-pow difference-of-squares
Counts
2 → 46
Calls
2 calls:
8.0ms
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))
5.0ms
(/ 1 (* x 2.0))

series48.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))
16.0ms
(/ 1 (* x 2.0))

simplify33.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 2 (29.0ms)

IterNodesCost
0207248
1931218
25001215

prune82.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))
0.5b
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
0.5b
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
0.5b
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
100×cbrt-prod
83×*-un-lft-identity
60×div-inv distribute-lft-out--
37×add-sqr-sqrt
33×cbrt-div
31×swap-sqr
15×add-cube-cbrt
11×pow1 flip3-- associate-*r* associate-*l* frac-sub flip--
9×frac-times pow1/3
7×difference-of-squares
6×add-exp-log
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/ associate-*l/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 147
Calls
4 calls:
27.0ms
(* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))
8.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
9.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
9.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))

series1.5s

Counts
4 → 12
Calls
4 calls:
388.0ms
(* (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))) (cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0)))))
383.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
386.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
379.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))

simplify59.0ms

Algorithm
egg-herbie
Counts
159 → 159
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03402343
111722150
250011934

prune506.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
0.5b
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
0.5b
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
0.5b
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
32×cbrt-prod
24×*-un-lft-identity
16×add-sqr-sqrt div-inv distribute-lft-out--
12×cbrt-div
8×add-cube-cbrt
4×pow1 add-exp-log flip3-- pow1/3 frac-sub add-cbrt-cube flip-- add-log-exp difference-of-squares
Counts
4 → 76
Calls
4 calls:
9.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
9.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
9.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
8.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))

series1.6s

Counts
4 → 12
Calls
4 calls:
391.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
381.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
387.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))
393.0ms
(cbrt (- (/ 1 (* 2.0 y)) (/ 1 (* x 2.0))))

simplify69.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 2 (21.0ms)

IterNodesCost
0196992
1665920
22702912
35001912

prune296.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes42.0ms

Accuracy

0% (1.3b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01720
11720

end0.0ms

sample336.0ms

Algorithm
intervals
Results
206.0ms8000×body80valid