Details

Time bar (total: 3.6s)

sample16.0ms

Algorithm
intervals
Results
5.0ms312×body80valid

simplify187.0ms

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

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

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:
20.0ms
(* y (- z x))
13.0ms
(+ x (* y (- z x)))

series83.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(* y (- z x))
41.0ms
(+ x (* y (- z x)))

simplify89.0ms

Algorithm
egg-herbie
Counts
47 → 47
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
0172180
1731165
23521165
35003165

prune72.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite53.0ms

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:
35.0ms
(* (cbrt (- z x)) (cbrt (- z x)))
6.0ms
(cbrt (- z x))
4.0ms
(cbrt (- z x))
4.0ms
(cbrt (- z x))

series562.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (cbrt (- z x)) (cbrt (- z x)))
144.0ms
(cbrt (- z x))
143.0ms
(cbrt (- z x))
150.0ms
(cbrt (- z x))

simplify152.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (144.0ms)

IterNodesCost
0261760
1914723
24493670
35001660

prune277.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
44×cbrt-prod
19×add-sqr-sqrt *-un-lft-identity
14×cbrt-div
11×add-cube-cbrt
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 69
Calls
4 calls:
4.0ms
(cbrt (- z x))
4.0ms
(cbrt (cbrt (- z x)))
8.0ms
(cbrt (cbrt (- z x)))
5.0ms
(cbrt (cbrt (- z x)))

series603.0ms

Counts
4 → 12
Calls
4 calls:
155.0ms
(cbrt (- z x))
145.0ms
(cbrt (cbrt (- z x)))
155.0ms
(cbrt (cbrt (- z x)))
148.0ms
(cbrt (cbrt (- z x)))

simplify163.0ms

Algorithm
egg-herbie
Counts
81 → 81
Iterations

Useful iterations: 4 (157.0ms)

IterNodesCost
0222572
1473546
21301534
34608510
45001493

prune271.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (- z x))
0.0b
(+ x (cbrt (pow (* y (- z x)) 3)))
0.3b
(pow (* y (- z x)) 3)
32.9b
(cbrt (pow (* y (- z x)) 3))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
8×cbrt-prod add-cube-cbrt
6×associate-*r/ add-log-exp
5×associate-*r*
4×cube-div
3×pow-unpow flip3-- associate-*l* flip--
2×distribute-rgt-in cube-mult sub-neg unpow-prod-down cbrt-div pow-pow distribute-lft-in unpow3 cube-prod pow-prod-down pow-exp prod-exp cbrt-unprod rem-cube-cbrt sqr-pow
1×+-commutative pow-to-exp flip3-+ pow1/3 sum-log *-commutative rem-cbrt-cube flip-+ distribute-lft-out distribute-lft-out-- difference-of-squares unswap-sqr
Counts
4 → 81
Calls
4 calls:
19.0ms
(* y (- z x))
8.0ms
(+ x (cbrt (pow (* y (- z x)) 3)))
9.0ms
(pow (* y (- z x)) 3)
4.0ms
(cbrt (pow (* y (- z x)) 3))

series214.0ms

Counts
4 → 12
Calls
4 calls:
41.0ms
(* y (- z x))
52.0ms
(+ x (cbrt (pow (* y (- z x)) 3)))
62.0ms
(pow (* y (- z x)) 3)
59.0ms
(cbrt (pow (* y (- z x)) 3))

simplify50.0ms

Algorithm
egg-herbie
Counts
93 → 93
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
0324422
11584383
25001382

prune180.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 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

sample443.0ms

Algorithm
intervals
Results
174.0ms10028×body80valid