Details

Time bar (total: 3.5s)

sample17.0ms

Algorithm
intervals
Results
7.0ms323×body80valid

simplify141.0ms

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
1340004
1450014

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.5b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(* (- y x) 6.0)
0.0b
(+ x (* (* (- y x) 6.0) z))
0.5b
(* (* (- y x) 6.0) z)

rewrite22.0ms

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:
6.0ms
(* (- y x) 6.0)
7.0ms
(+ x (* (* (- y x) 6.0) z))
7.0ms
(* (* (- y x) 6.0) z)

series114.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(* (- y x) 6.0)
48.0ms
(+ x (* (* (- y x) 6.0) z))
36.0ms
(* (* (- y x) 6.0) z)

simplify39.0ms

Algorithm
egg-herbie
Counts
62 → 62
Iterations

Useful iterations: 1 (8.0ms)

IterNodesCost
0246290
11073249
25001249

prune119.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (* 6.0 z)))
0.2b
(* (- y x) (* 6.0 z))

rewrite12.0ms

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:
3.0ms
(+ x (* (- y x) (* 6.0 z)))
7.0ms
(* (- y x) (* 6.0 z))

series85.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(+ x (* (- y x) (* 6.0 z)))
41.0ms
(* (- y x) (* 6.0 z))

simplify108.0ms

Algorithm
egg-herbie
Counts
39 → 39
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0206210
1717179
23878179
35003179

prune82.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1 add-exp-log
12×add-cbrt-cube
9×cbrt-prod
8×pow-prod-down prod-exp cbrt-unprod
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×associate-*l/ add-log-exp
3×pow1/3
1×flip3-- associate-*r* associate-*l* *-commutative flip--
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
11.0ms
(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))

series727.0ms

Counts
4 → 12
Calls
4 calls:
181.0ms
(cbrt z)
194.0ms
(cbrt z)
184.0ms
(cbrt z)
167.0ms
(* (* (- y x) 6.0) (* (cbrt z) (cbrt z)))

simplify36.0ms

Algorithm
egg-herbie
Counts
69 → 69
Iterations

Useful iterations: 2 (32.0ms)

IterNodesCost
0243353
1967271
25001252

prune178.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
0.8b
(cbrt (* (- y x) 6.0))
0.8b
(cbrt (* (- y x) 6.0))
0.8b
(cbrt (* (- y x) 6.0))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*l/
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×associate-*r/ pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
11.0ms
(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
5.0ms
(cbrt (* (- y x) 6.0))
5.0ms
(cbrt (* (- y x) 6.0))
5.0ms
(cbrt (* (- y x) 6.0))

series902.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(* (cbrt (* (- y x) 6.0)) (cbrt (* (- y x) 6.0)))
225.0ms
(cbrt (* (- y x) 6.0))
206.0ms
(cbrt (* (- y x) 6.0))
207.0ms
(cbrt (* (- y x) 6.0))

simplify49.0ms

Algorithm
egg-herbie
Counts
84 → 84
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0281658
1992607
25001566

prune249.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes136.0ms

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

sample425.0ms

Algorithm
intervals
Results
235.0ms10101×body80valid