Details

Time bar (total: 3.8s)

sample25.0ms

Algorithm
intervals
Results
15.0ms337×body80valid

simplify148.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0154
1294
2654
31284
41744
51894
62064
72554
83504
96254
1013524
1119534
1227334
1337074
1450024

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* (* (- y x) 6.0) z))
0.0b
(* (- y x) 6.0)
0.3b
(* (* (- y x) 6.0) z)

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log add-sqr-sqrt add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt associate-*r* associate-*l* associate-*l/
5×add-log-exp
4×pow-prod-down prod-exp cbrt-unprod
2×flip3-- *-commutative flip--
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 53
Calls
3 calls:
2.0ms
(+ x (* (* (- y x) 6.0) z))
13.0ms
(* (- y x) 6.0)
16.0ms
(* (* (- y x) 6.0) z)

series116.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ x (* (* (- y x) 6.0) z))
31.0ms
(* (- y x) 6.0)
38.0ms
(* (* (- y x) 6.0) z)

simplify41.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 1 (9.0ms)

IterNodesCost
0246290
11073249
25001249

prune120.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* 6.0 z)))
0.3b
(* (- y x) (* 6.0 z))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
5×add-sqr-sqrt *-un-lft-identity associate-*l*
4×add-log-exp
3×add-cube-cbrt pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×+-commutative flip3-- flip3-+ associate-*r* sum-log *-commutative flip-- flip-+ distribute-lft-out-- difference-of-squares
Counts
2 → 33
Calls
2 calls:
5.0ms
(+ x (* (- y x) (* 6.0 z)))
25.0ms
(* (- y x) (* 6.0 z))

series85.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ x (* (- y x) (* 6.0 z)))
42.0ms
(* (- y x) (* 6.0 z))

simplify110.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0206210
1717179
23878179
35003179

prune75.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
0.0ms
(cbrt z)
0.0ms
(cbrt z)
1.0ms
(cbrt z)

series739.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt z) (cbrt z))
177.0ms
(cbrt z)
179.0ms
(cbrt z)
181.0ms
(cbrt z)

simplify94.0ms

Algorithm
egg-herbie
Counts
85 → 85
Iterations

Useful iterations: 3 (89.0ms)

IterNodesCost
0115288
1472261
22959238
35003235

prune220.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

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))

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 (- y x)) (cbrt (- y x)))
2.0ms
(cbrt (- y x))
2.0ms
(cbrt (- y x))
2.0ms
(cbrt (- y x))

series599.0ms

Counts
4 → 12
Calls
4 calls:
137.0ms
(* (cbrt (- y x)) (cbrt (- y x)))
153.0ms
(cbrt (- y x))
154.0ms
(cbrt (- y x))
154.0ms
(cbrt (- y x))

simplify166.0ms

Algorithm
egg-herbie
Counts
113 → 113
Iterations

Useful iterations: 3 (156.0ms)

IterNodesCost
0261760
1914723
24493670
35001660

prune295.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0114
1114

end0.0ms

sample689.0ms

Algorithm
intervals
Results
471.0ms10102×body80valid