Details

Time bar (total: 6.1s)

sample20.0ms

Algorithm
intervals
Results
9.0ms235×body80valid
2.0ms9×body1280valid
1.0ms5×body640valid
1.0ms3×body2560valid
0.0ms2×body320valid
0.0ms2×body160valid

simplify13.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0123
1253
2343
3413
4473
5503
6503

prune2.0ms

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))

rewrite2.0ms

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:
2.0ms
(- x (* (/ 3.0 8.0) y))

series37.0ms

Counts
1 → 3
Calls
1 calls:
37.0ms
(- x (* (/ 3.0 8.0) y))

simplify98.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
08079
125872
2105372
3386472
4500272

prune34.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize9.0ms

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

rewrite25.0ms

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:
18.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (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)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series1.2s

Counts
4 → 12
Calls
4 calls:
273.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
301.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
300.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
300.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify76.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (66.0ms)

IterNodesCost
02371018
1740953
22721895
35002874

prune272.0ms

Pruning

10 alts after pruning (8 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)))
0.5b
(cbrt (- x (* (/ 3.0 8.0) y)))
0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
28×cbrt-div
16×cbrt-prod
9×flip3-- flip--
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log frac-times pow1/3 add-cbrt-cube add-log-exp
2×associate-*r/ associate-*l/
Counts
4 → 59
Calls
4 calls:
1.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
1.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
6.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
2.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
314.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
304.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
275.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
310.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify59.0ms

Algorithm
egg-herbie
Counts
71 → 71
Iterations

Useful iterations: 3 (50.0ms)

IterNodesCost
0265818
1617768
21725760
35001742

prune293.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (sqrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))) (sqrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))))
0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.5b
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
404×cbrt-div
144×frac-times sqrt-div
121×flip3-- flip--
48×associate-*r/ associate-*l/
30×add-sqr-sqrt sqrt-prod
21×cbrt-prod
19×pow1
14×add-cube-cbrt *-un-lft-identity sqrt-pow1
9×pow1/3 swap-sqr unswap-sqr
8×pow1/2
7×associate-*r* associate-*l*
6×add-exp-log pow-prod-up add-cbrt-cube
4×pow-prod-down pow-sqr add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 190
Calls
4 calls:
33.0ms
(* (sqrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))) (sqrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))))
6.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
6.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
2.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
277.0ms
(* (sqrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))) (sqrt (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))))
270.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
479.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
306.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify90.0ms

Algorithm
egg-herbie
Counts
202 → 202
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
04455890
112005711
250015631

prune542.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes141.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
083
183

end0.0ms

sample515.0ms

Algorithm
intervals
Results
284.0ms7371×body80valid
45.0ms241×body1280valid
24.0ms150×body640valid
19.0ms88×body2560valid
12.0ms109×body320valid
3.0ms41×body160valid