Details

Time bar (total: 5.4s)

sample24.0ms

Algorithm
intervals
Results
12.0ms235×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 (1.0ms)

IterNodesCost
0123
1253
2383
3453
4513
5573
6593
7593

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))

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity fma-neg prod-diff add-log-exp
1×pow1 add-exp-log expm1-log1p-u sub-neg flip3-- diff-log add-cbrt-cube flip-- log1p-expm1-u
Counts
1 → 20
Calls
1 calls:
2.0ms
(- x (* (/ 3.0 8.0) y))

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(- x (* (/ 3.0 8.0) y))

simplify42.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (39.0ms)

IterNodesCost
0107129
1372112
21541111
3500294

prune46.0ms

Pruning

4 alts after pruning (3 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)))

rewrite21.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 95
Calls
4 calls:
13.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
1.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
2.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

series1.0s

Counts
4 → 12
Calls
4 calls:
238.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
257.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
257.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
260.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))

simplify73.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (62.0ms)

IterNodesCost
02441068
17671003
22875944
35002915

prune267.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize19.0ms

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))))

rewrite12.0ms

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 expm1-log1p-u frac-times pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
2×associate-*r/ associate-*l/
Counts
4 → 67
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))))

series1.0s

Counts
4 → 12
Calls
4 calls:
264.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
269.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
245.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
269.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify54.0ms

Algorithm
egg-herbie
Counts
79 → 79
Iterations

Useful iterations: 3 (45.0ms)

IterNodesCost
0274872
1647822
21888813
35001787

prune288.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

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))))

rewrite61.0ms

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×expm1-log1p-u pow-prod-down pow-sqr log1p-expm1-u add-log-exp
1×pow2 pow-plus sqrt-unprod prod-exp rem-square-sqrt *-commutative cbrt-unprod
Counts
4 → 198
Calls
4 calls:
30.0ms
(* (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))))

series1.0s

Counts
4 → 12
Calls
4 calls:
247.0ms
(* (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)))))))
240.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
252.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
269.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify85.0ms

Algorithm
egg-herbie
Counts
210 → 210
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
04545964
111915789
250025706

prune569.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes128.0ms

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

sample553.0ms

Algorithm
intervals
Results
313.0ms7371×body80valid
47.0ms241×body1280valid
23.0ms150×body640valid
19.0ms88×body2560valid
13.0ms109×body320valid
3.0ms41×body160valid