Details

Time bar (total: 4.2s)

sample17.0ms

Algorithm
intervals
Results
7.0ms313×body80valid

simplify186.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1173
2313
3463
4533
5623
6803
71183
82353
94673
108323
1112123
1217863
1334073
1450023

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*r*
4×pow1 add-exp-log distribute-rgt-in add-cube-cbrt sub-neg associate-+r+ distribute-lft-in add-cbrt-cube add-log-exp
3×associate-*l*
2×associate-*r/
1×+-commutative flip3-- flip3-+ pow-prod-down prod-exp sum-log *-commutative flip-- cbrt-unprod flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 41
Calls
2 calls:
3.0ms
(+ x (* y (- z x)))
13.0ms
(* y (- z x))

series81.0ms

Counts
2 → 6
Calls
2 calls:
30.0ms
(+ x (* y (- z x)))
51.0ms
(* y (- z x))

simplify90.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0172180
1731165
23520165
35001165

prune85.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
3.0b
(cbrt (* y (- z x)))
3.0b
(cbrt (* y (- z x)))
3.0b
(cbrt (* y (- z x)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
9.0ms
(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
3.0ms
(cbrt (* y (- z x)))
3.0ms
(cbrt (* y (- z x)))
3.0ms
(cbrt (* y (- z x)))

series676.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(* (cbrt (* y (- z x))) (cbrt (* y (- z x))))
169.0ms
(cbrt (* y (- z x)))
166.0ms
(cbrt (* y (- z x)))
165.0ms
(cbrt (* y (- z x)))

simplify116.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 3 (104.0ms)

IterNodesCost
0254606
1837553
23945507
35001499

prune245.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite30.0ms

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:
20.0ms
(* (cbrt (- z x)) (cbrt (- z x)))
2.0ms
(cbrt (- z x))
2.0ms
(cbrt (- z x))
2.0ms
(cbrt (- z x))

series571.0ms

Counts
4 → 12
Calls
4 calls:
123.0ms
(* (cbrt (- z x)) (cbrt (- z x)))
152.0ms
(cbrt (- z x))
145.0ms
(cbrt (- z x))
150.0ms
(cbrt (- z x))

simplify157.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (144.0ms)

IterNodesCost
0261760
1914723
24493670
35001660

prune299.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- z x))
0.6b
(cbrt (- z x))
0.6b
(cbrt (- z x))
1.0b
(pow (cbrt (cbrt (- z x))) 5)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
19×add-sqr-sqrt *-un-lft-identity
11×add-cube-cbrt unpow-prod-down
6×cbrt-div
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube distribute-lft-out-- add-log-exp difference-of-squares
3×pow-unpow flip3-- flip--
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 71
Calls
4 calls:
2.0ms
(cbrt (- z x))
2.0ms
(cbrt (- z x))
2.0ms
(cbrt (- z x))
6.0ms
(pow (cbrt (cbrt (- z x))) 5)

series693.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(cbrt (- z x))
150.0ms
(cbrt (- z x))
152.0ms
(cbrt (- z x))
244.0ms
(pow (cbrt (cbrt (- z x))) 5)

simplify82.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (70.0ms)

IterNodesCost
0297543
1754513
22675502
35002479

prune300.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0.0b

regimes91.0ms

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
083
183

end0.0ms

sample427.0ms

Algorithm
intervals
Results
214.0ms10155×body80valid