Details

Time bar (total: 3.4s)

sample16.0ms

Algorithm
intervals
Results
6.0ms331×body80valid

simplify185.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

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

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-exp-log add-cube-cbrt add-cbrt-cube add-log-exp
3×associate-*r*
2×associate-*l/
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 → 33
Calls
2 calls:
3.0ms
(+ x (* (- y x) z))
10.0ms
(* (- y x) z)

series60.0ms

Counts
2 → 6
Calls
2 calls:
32.0ms
(+ x (* (- y x) z))
28.0ms
(* (- y x) z)

simplify64.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0163162
1556145
22758145
35001145

prune68.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

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))

rewrite32.0ms

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:
23.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
2.0ms
(cbrt (- y x))
2.0ms
(cbrt (- y x))
2.0ms
(cbrt (- y x))

series575.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
156.0ms
(cbrt (- y x))
150.0ms
(cbrt (- y x))
143.0ms
(cbrt (- y x))

simplify155.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (147.0ms)

IterNodesCost
0261760
1914723
24493670
35001660

prune288.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
0.6b
(cbrt (- y x))
1.0b
(pow (cbrt (cbrt (- y 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 (- y x))
2.0ms
(cbrt (- y x))
2.0ms
(cbrt (- y x))
6.0ms
(pow (cbrt (cbrt (- y x))) 5)

series708.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(cbrt (- y x))
147.0ms
(cbrt (- y x))
156.0ms
(cbrt (- y x))
247.0ms
(pow (cbrt (cbrt (- y x))) 5)

simplify81.0ms

Algorithm
egg-herbie
Counts
83 → 83
Iterations

Useful iterations: 3 (75.0ms)

IterNodesCost
0297543
1754513
22675502
35002479

prune293.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
0.1b
(* (- y x) (sqrt z))
0.2b
(* (* (- y x) (sqrt z)) (sqrt z))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
12×associate-*r*
10×pow1 add-exp-log *-un-lft-identity add-cbrt-cube
8×add-cube-cbrt
7×sqrt-prod
6×associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip-- unswap-sqr
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares
Counts
3 → 60
Calls
3 calls:
2.0ms
(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
12.0ms
(* (- y x) (sqrt z))
20.0ms
(* (* (- y x) (sqrt z)) (sqrt z))

series130.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(+ x (* (* (- y x) (sqrt z)) (sqrt z)))
46.0ms
(* (- y x) (sqrt z))
36.0ms
(* (* (- y x) (sqrt z)) (sqrt z))

simplify39.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (33.0ms)

IterNodesCost
0281412
11147342
25002328

prune130.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes88.0ms

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

sample391.0ms

Algorithm
intervals
Results
196.0ms10139×body80valid