Details

Time bar (total: 9.1s)

sample20.0ms

Algorithm
intervals
Results
10.0ms239×body80valid
1.0ms6×body2560valid
1.0ms5×body1280valid
0.0ms2×body640valid
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))

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

series29.0ms

Counts
1 → 3
Calls
1 calls:
29.0ms
(- x (* (/ 3.0 8.0) y))

simplify93.0ms

Algorithm
egg-herbie
Counts
15 → 15
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
08079
125872
2105372
3386472
4500272

prune37.0ms

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))))

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×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:
1.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
1.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
1.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
14.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
266.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
269.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
263.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
238.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify78.0ms

Algorithm
egg-herbie
Counts
99 → 99
Iterations

Useful iterations: 3 (61.0ms)

IterNodesCost
02371018
1747953
22727895
35001874

prune265.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

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×prod-exp cbrt-unprod add-log-exp unswap-sqr
2×pow-sqr *-commutative pow-prod-up
1×pow2 pow-plus
Counts
4 → 184
Calls
4 calls:
16.0ms
(* (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))))

series995.0ms

Counts
4 → 12
Calls
4 calls:
233.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))
246.0ms
(* (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))))))
244.0ms
(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
196 → 196
Iterations

Useful iterations: 2 (48.0ms)

IterNodesCost
08045562
121255442
250015298

prune740.0ms

Pruning

11 alts after pruning (10 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))))

rewrite500.0ms

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×add-log-exp
3×pow1/3
1×associate-*r* *-commutative
Counts
4 → 802
Calls
4 calls:
268.0ms
(* (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)))))
5.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.2s

Counts
4 → 12
Calls
4 calls:
250.0ms
(* (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))))))
249.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
248.0ms
(cbrt (* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y)))))
490.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify473.0ms

Algorithm
egg-herbie
Counts
814 → 814
Iterations

Useful iterations: 1 (49.0ms)

IterNodesCost
0466352125
1500251870

prune2.7s

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

regimes235.0ms

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

sample406.0ms

Algorithm
intervals
Results
207.0ms7359×body80valid
27.0ms223×body1280valid
19.0ms164×body640valid
18.0ms105×body2560valid
6.0ms87×body320valid
3.0ms62×body160valid