Details

Time bar (total: 5.2s)

sample16.0ms

Algorithm
intervals
Results
7.0ms231×body80valid
1.0ms10×body1280valid
1.0ms8×body640valid
0.0ms3×body2560valid
0.0ms3×body160valid
0.0ms1×body320valid

simplify11.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1253
2343
3413
4473
5503
6503

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (* (/ 3.0 8.0) y))

rewrite3.0ms

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 add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
3.0ms
(- x (* (/ 3.0 8.0) y))

series27.0ms

Counts
1 → 3
Calls
1 calls:
27.0ms
(- x (* (/ 3.0 8.0) y))

simplify94.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08079
125872
2105372
3386472
4500272

prune34.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
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 → 87
Calls
4 calls:
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
257.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
265.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
255.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
235.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify69.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (59.0ms)

IterNodesCost
02371018
1747953
22727895
35001874

prune255.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
48×cbrt-div
42×cbrt-prod
38×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
19×flip3-- flip--
18×pow1
14×pow1/3
12×frac-times swap-sqr associate-*r* associate-*l*
8×add-exp-log unswap-sqr
6×associate-*r/ associate-*l/
4×pow-prod-down pow-sqr pow-prod-up add-cbrt-cube add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 129
Calls
4 calls:
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
8.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
11.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

series1.0s

Counts
4 → 12
Calls
4 calls:
241.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
245.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
276.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
247.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify84.0ms

Algorithm
egg-herbie
Counts
141 → 141
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
03121790
18871704
229421574
350011557

prune441.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
0.5b
(cbrt (* (pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 5) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))))
1.1b
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 5)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-prod
14×cbrt-div
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow flip3-- flip--
2×pow-pow associate-*r/
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 67
Calls
4 calls:
3.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
6.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
9.0ms
(cbrt (* (pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 5) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))))
5.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 5)

series1.1s

Counts
4 → 12
Calls
4 calls:
283.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
272.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
247.0ms
(cbrt (* (pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 5) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))))
266.0ms
(pow (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) 5)

simplify103.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (94.0ms)

IterNodesCost
0373881
11044826
23855806
35002791

prune316.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes215.0ms

Accuracy

0% (0.0b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify5.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample332.0ms

Algorithm
intervals
Results
153.0ms7364×body80valid
19.0ms210×body1280valid
14.0ms196×body640valid
10.0ms93×body2560valid
5.0ms88×body320valid
2.0ms49×body160valid