Details

Time bar (total: 9.2s)

sample15.0ms

Algorithm
intervals
Results
6.0ms239×body80valid
1.0ms6×body2560valid
1.0ms5×body1280valid
0.0ms2×body640valid
0.0ms2×body320valid
0.0ms2×body160valid

simplify12.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0123
1253
2383
3453
4513
5573
6593
7593

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-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))

series28.0ms

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

simplify43.0ms

Algorithm
egg-herbie
Counts
23 → 23
Iterations

Useful iterations: 3 (41.0ms)

IterNodesCost
0107129
1372112
21541111
3500294

prune47.0ms

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)))
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))))

rewrite24.0ms

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:
1.0ms
(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)))
17.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
275.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
294.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
260.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
254.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify72.0ms

Algorithm
egg-herbie
Counts
107 → 107
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
02441068
17741003
22881944
35001915

prune286.0ms

Pruning

11 alts after pruning (9 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 (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))) (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)))))
0.6b
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

rewrite85.0ms

Algorithm
rewrite-expression-head
Rules
378×cbrt-div
144×frac-times
121×flip3-- flip--
54×associate-*r/
48×associate-*l/
30×cbrt-prod
24×add-sqr-sqrt
17×add-cube-cbrt
16×pow1 *-un-lft-identity
12×associate-*l*
11×add-exp-log pow1/3
7×swap-sqr associate-*r* pow-prod-down
5×add-cbrt-cube
4×expm1-log1p-u prod-exp cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 192
Calls
4 calls:
17.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
46.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (* (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (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))))

series988.0ms

Counts
4 → 12
Calls
4 calls:
243.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
240.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (* (cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))))
239.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
266.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify91.0ms

Algorithm
egg-herbie
Counts
204 → 204
Iterations

Useful iterations: 2 (47.0ms)

IterNodesCost
08155660
121585540
250015393

prune752.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

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

rewrite485.0ms

Algorithm
rewrite-expression-head
Rules
4742×cbrt-div
2196×frac-times
1471×flip3-- flip--
1296×sqrt-div
648×associate-*r/
642×associate-*l/
14×cbrt-prod
13×pow1 add-exp-log
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity add-cbrt-cube
6×associate-*l* pow-prod-down prod-exp cbrt-unprod
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
1×associate-*r* *-commutative
Counts
4 → 810
Calls
4 calls:
267.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (* (* (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))))))) (cbrt (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:
251.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (* (* (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))))))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))))
239.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
244.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
272.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify477.0ms

Algorithm
egg-herbie
Counts
822 → 822
Iterations

Useful iterations: 1 (44.0ms)

IterNodesCost
0467252251
1500252064

prune3.0s

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes247.0ms

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

sample407.0ms

Algorithm
intervals
Results
209.0ms7359×body80valid
28.0ms223×body1280valid
18.0ms105×body2560valid
16.0ms164×body640valid
6.0ms87×body320valid
3.0ms62×body160valid