Details

Time bar (total: 2.4s)

sample14.0ms

Algorithm
intervals
Results
6.0ms256×body80valid

simplify16.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1364
2734
31274
41674
51854
61874
71874

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.1b

localize5.0ms

Local error

Found 1 expressions with local error:

16.8b
(/ (* (* x 2.0) y) (- x y))

rewrite11.0ms

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:
10.0ms
(/ (* (* x 2.0) y) (- x y))

series61.0ms

Counts
1 → 3
Calls
1 calls:
61.0ms
(/ (* (* x 2.0) y) (- x y))

simplify31.0ms

Algorithm
egg-herbie
Counts
34 → 34
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0214194
11150161
25001161

prune57.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- x y))
7.0b
(* (* x 2.0) (/ y (- x y)))

rewrite24.0ms

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:
5.0ms
(/ y (- x y))
16.0ms
(* (* x 2.0) (/ y (- x y)))

series109.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ y (- x y))
62.0ms
(* (* x 2.0) (/ y (- x y)))

simplify46.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 1 (10.0ms)

IterNodesCost
0315451
11665401
25001401

prune150.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
2.0b
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
29×add-cbrt-cube
23×prod-exp cbrt-unprod
13×associate-*r*
12×cbrt-div
pow1 cbrt-prod
cbrt-undiv add-sqr-sqrt add-cube-cbrt *-un-lft-identity div-exp associate-/r/
flip3-- flip--
expm1-log1p-u frac-times log1p-expm1-u add-log-exp
pow1/3 associate-*r/ pow-prod-down
associate-*l/
times-frac associate-*l* *-commutative div-inv
Counts
4 → 86
Calls
4 calls:
0.0ms
(cbrt y)
0.0ms
(cbrt y)
0.0ms
(cbrt y)
40.0ms
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

series808.0ms

Counts
4 → 12
Calls
4 calls:
177.0ms
(cbrt y)
170.0ms
(cbrt y)
178.0ms
(cbrt y)
282.0ms
(* (* x 2.0) (/ (* (cbrt y) (cbrt y)) (* (cbrt (- x y)) (cbrt (- x y)))))

simplify64.0ms

Algorithm
egg-herbie
Counts
98 → 98
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
0499853
12511647
25001585

prune252.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.2b
(* y (/ 1 (- x y)))
7.0b
(* (* x 2.0) (* y (/ 1 (- x y))))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
46×add-exp-log
28×add-cbrt-cube
27×prod-exp
25×add-sqr-sqrt
22×associate-*r*
19×*-un-lft-identity
17×times-frac
16×pow1
15×cbrt-unprod
12×add-cube-cbrt
pow-prod-down
div-exp
associate-*r/ associate-*l*
cbrt-undiv rec-exp 1-exp distribute-lft-out-- difference-of-squares unswap-sqr
expm1-log1p-u associate-/r/ un-div-inv *-commutative log1p-expm1-u add-log-exp
flip3-- flip-- div-inv
Counts
2 → 80
Calls
2 calls:
17.0ms
(* y (/ 1 (- x y)))
22.0ms
(* (* x 2.0) (* y (/ 1 (- x y))))

series111.0ms

Counts
2 → 6
Calls
2 calls:
48.0ms
(* y (/ 1 (- x y)))
64.0ms
(* (* x 2.0) (* y (/ 1 (- x y))))

simplify47.0ms

Algorithm
egg-herbie
Counts
86 → 86
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0360463
11688357
25001337

prune118.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes72.0ms

Accuracy

0% (2.3b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 2.4b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01616
11616

end0.0ms

sample302.0ms

Algorithm
intervals
Results
176.0ms8000×body80valid