Details

Time bar (total: 3.0s)

sample14.0ms

Algorithm
intervals
Results
5.0ms256×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0154
1364
2734
31274
41674
51854
61874
71874

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.1b

localize6.0ms

Local error

Found 1 expressions with local error:

15.6b
(/ (* (* x 2.0) y) (- x y))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
10×add-exp-log add-cbrt-cube
add-sqr-sqrt *-un-lft-identity
times-frac associate-/r*
cbrt-undiv add-cube-cbrt div-exp prod-exp cbrt-unprod
associate-/r/ distribute-lft-out-- difference-of-squares
pow1 expm1-log1p-u flip3-- frac-2neg clear-num flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 31
Calls
1 calls:
27.0ms
(/ (* (* x 2.0) y) (- x y))

series55.0ms

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

simplify36.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0214194
11150161
25001161

prune55.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
5.0b
(* (* x 2.0) (/ y (- x y)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
35×add-sqr-sqrt *-un-lft-identity
30×times-frac
21×add-cube-cbrt associate-*r*
16×add-exp-log add-cbrt-cube
pow1 distribute-lft-out-- difference-of-squares
prod-exp cbrt-unprod
associate-/r*
associate-/r/
cbrt-undiv div-exp pow-prod-down associate-/l*
expm1-log1p-u flip3-- flip-- log1p-expm1-u div-inv add-log-exp
frac-2neg associate-*r/ associate-*l* clear-num *-commutative
Counts
2 → 82
Calls
2 calls:
10.0ms
(/ y (- x y))
34.0ms
(* (* x 2.0) (/ y (- x y)))

series93.0ms

Counts
2 → 6
Calls
2 calls:
37.0ms
(/ y (- x y))
56.0ms
(* (* x 2.0) (/ y (- x y)))

simplify47.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315451
11665401
25001401

prune138.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- x y) y)
5.4b
(/ (* x 2.0) (/ (- x y) y))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
64×times-frac
50×add-sqr-sqrt *-un-lft-identity
30×add-cube-cbrt
22×associate-/r*
16×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
cbrt-undiv div-exp
associate-/l*
div-inv
pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u associate-/l/ add-log-exp
flip3-- div-sub associate-/r/ flip--
Counts
2 → 100
Calls
2 calls:
19.0ms
(/ (- x y) y)
19.0ms
(/ (* x 2.0) (/ (- x y) y))

series79.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(/ (- x y) y)
53.0ms
(/ (* x 2.0) (/ (- x y) y))

simplify50.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0392620
11920563
25001562

prune375.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

1.6b
(/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))))
5.7b
(cbrt (/ (- x y) y))
5.7b
(cbrt (/ (- x y) y))
5.7b
(cbrt (/ (- x y) y))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
57×cbrt-prod
49×add-sqr-sqrt *-un-lft-identity
46×times-frac
31×add-cube-cbrt
16×add-exp-log
12×add-cbrt-cube
distribute-lft-out-- difference-of-squares
cbrt-div
pow1 cbrt-undiv expm1-log1p-u div-exp prod-exp cbrt-unprod log1p-expm1-u div-inv add-log-exp
pow1/3 associate-/r/
frac-times frac-2neg associate-*r/ associate-*l/ clear-num associate-/r* associate-/l*
Counts
4 → 116
Calls
4 calls:
23.0ms
(/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))))
9.0ms
(cbrt (/ (- x y) y))
6.0ms
(cbrt (/ (- x y) y))
5.0ms
(cbrt (/ (- x y) y))

series1.0s

Counts
4 → 12
Calls
4 calls:
298.0ms
(/ (* x 2.0) (* (cbrt (/ (- x y) y)) (cbrt (/ (- x y) y))))
255.0ms
(cbrt (/ (- x y) y))
239.0ms
(cbrt (/ (- x y) y))
244.0ms
(cbrt (/ (- x y) y))

simplify44.0ms

Algorithm
egg-herbie
Counts
128 → 128
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
03661061
11261975
25002953

prune330.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes47.0ms

Accuracy

99.5% (0.0b remaining)

Error of 0.1b against oracle of 0.1b and baseline of 7.9b

bsearch41.0ms

Steps
ItersRangePoint
7
7.3863520332096535e-09
7.803840110207806e-07
2.1819390715472124e-08
7
-15077057.36594219
-167476.95725593
-1585519.724892391

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0208
1208

end0.0ms

sample362.0ms

Algorithm
intervals
Results
178.0ms8000×body80valid