Details

Time bar (total: 2.3s)

sample18.0ms

Algorithm
intervals
Results
6.0ms327×body80valid

simplify18.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1193
2283
3403
4503
5733
61023
71183
81453
91743
101903
111903

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) z))
0.0b
(/ (- y x) z)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
22×*-un-lft-identity
20×add-sqr-sqrt
15×times-frac
12×add-cube-cbrt
5×associate-/l*
4×add-exp-log add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×associate-/r*
2×pow1 div-sub associate-/l/
1×cbrt-undiv +-commutative associate-+r- flip3-- frac-2neg flip3-+ div-exp clear-num sum-log flip-- flip-+ div-inv distribute-lft-out
Counts
2 → 51
Calls
2 calls:
21.0ms
(+ x (/ (- y x) z))
16.0ms
(/ (- y x) z)

series46.0ms

Counts
2 → 6
Calls
2 calls:
19.0ms
(+ x (/ (- y x) z))
27.0ms
(/ (- y x) z)

simplify58.0ms

Algorithm
egg-herbie
Counts
57 → 57
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0221273
1676261
22904261
35002261

prune101.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (- (/ y z) (/ x z)))
0.0b
(- (/ y z) (/ x z))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
17×*-un-lft-identity
16×add-sqr-sqrt
10×times-frac
9×add-log-exp
5×distribute-lft-out--
4×add-cube-cbrt difference-of-squares
2×pow1 add-exp-log sub-neg associate-+r+ diff-log sum-log add-cbrt-cube div-inv distribute-lft-out
1×+-commutative associate-+r- flip3-- distribute-rgt-out-- flip3-+ frac-sub flip-- flip-+ sub-div
Counts
2 → 40
Calls
2 calls:
64.0ms
(+ x (- (/ y z) (/ x z)))
28.0ms
(- (/ y z) (/ x z))

series39.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ x (- (/ y z) (/ x z)))
19.0ms
(- (/ y z) (/ x z))

simplify40.0ms

Algorithm
egg-herbie
Counts
46 → 46
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0180259
1452249
21639249
35002249

prune82.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ 1 z)))
0.2b
(* (- y x) (/ 1 z))

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
13×*-un-lft-identity associate-*r*
11×add-exp-log times-frac
10×add-cube-cbrt
7×add-cbrt-cube
5×associate-*l*
4×pow1 prod-exp add-log-exp
3×unswap-sqr
2×frac-times flip3-- div-exp associate-*l/ flip-- cbrt-unprod
1×cbrt-undiv +-commutative rec-exp flip3-+ 1-exp associate-*r/ pow-prod-down sum-log un-div-inv *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 53
Calls
2 calls:
7.0ms
(+ x (* (- y x) (/ 1 z)))
30.0ms
(* (- y x) (/ 1 z))

series43.0ms

Counts
2 → 6
Calls
2 calls:
20.0ms
(+ x (* (- y x) (/ 1 z)))
24.0ms
(* (- y x) (/ 1 z))

simplify34.0ms

Algorithm
egg-herbie
Counts
59 → 59
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
0296305
11237264
25001250

prune104.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- y x)) (cbrt (- y x)))
0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))

rewrite58.0ms

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:
41.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
4.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))
4.0ms
(cbrt (- y x))

series516.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
135.0ms
(cbrt (- y x))
131.0ms
(cbrt (- y x))
137.0ms
(cbrt (- y x))

simplify151.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (143.0ms)

IterNodesCost
0261760
1914723
24493670
35001660

prune281.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes46.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084
184

end0.0ms

sample485.0ms

Algorithm
intervals
Results
196.0ms10119×body80valid