Details

Time bar (total: 3.8s)

sample23.0ms

Algorithm
intervals
Results
9.0ms294×body80valid

simplify27.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0246
1466
2736
3996
41196
51456
61786
72536
83336
94676
104676

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log associate-*l/ frac-sub add-cbrt-cube flip--
Counts
1 → 13
Calls
1 calls:
13.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))

simplify40.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
0113124
1385113
21527113
35002113

prune39.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
0.6b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.6b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.6b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

rewrite128.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-div
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
14×associate-*l/
11×pow1 flip3-- frac-sub flip--
9×frac-times pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
3×associate-*r/
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 97
Calls
4 calls:
90.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
13.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
11.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
11.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series922.0ms

Counts
4 → 12
Calls
4 calls:
254.0ms
(* (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))) (cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0))))
223.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
223.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
222.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify127.0ms

Algorithm
egg-herbie
Counts
109 → 109
Iterations

Useful iterations: 2 (30.0ms)

IterNodesCost
03301647
110671554
248591466
350011466

prune340.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.6b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.6b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
0.6b
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod cbrt-div
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 associate-*l/ frac-sub add-cbrt-cube flip-- add-log-exp
Counts
4 → 56
Calls
4 calls:
11.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
10.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
10.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
10.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

series899.0ms

Counts
4 → 12
Calls
4 calls:
218.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
226.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
222.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))
232.0ms
(cbrt (- (* (/ 1.0 8.0) x) (/ (* y z) 2.0)))

simplify50.0ms

Algorithm
egg-herbie
Counts
68 → 68
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0190792
1527740
21813732
35001720

prune290.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes172.0ms

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
0166
1166

end0.0ms

sample610.0ms

Algorithm
intervals
Results
285.0ms9095×body80valid