Details

Time bar (total: 26.1s)

sample31.0ms

Algorithm
intervals
Results
8.0ms222×body80valid
2.0ms11×body1280valid
1.0ms11×body640valid
1.0ms7×body2560valid
0.0ms4×body320valid
0.0ms1×body160valid

simplify82.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1127
2257
3347
4417
5477
6507
done507

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize12.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

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

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(- x (* (/ 3.0 8.0) y))

simplify3.6s

Counts
15 → 15
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
032172
181165
2262151
31036151
44733151
done5001151

prune90.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.1b

localize30.0ms

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))))

rewrite80.0ms

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:
5.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
5.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
60.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

series1.7s

Counts
4 → 12
Calls
4 calls:
441.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
425.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
438.0ms
(cbrt (- x (* (/ 3.0 8.0) y)))
407.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (cbrt (- x (* (/ 3.0 8.0) y))))

simplify8.9s

Counts
99 → 99
Iterations

Useful iterations: done (8.9s)

IterNodesCost
01191968
12601825
28941711
347501540
done50011526

prune721.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize51.0ms

Local error

Found 4 expressions with local error:

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

rewrite453.0ms

Algorithm
rewrite-expression-head
Rules
390×cbrt-div
136×frac-times
111×flip3-- flip--
50×associate-*r/
44×associate-*l/
30×cbrt-prod
15×pow1
13×add-exp-log add-cube-cbrt pow1/3
12×add-sqr-sqrt *-un-lft-identity
9×pow-prod-down
6×associate-*l* prod-exp add-cbrt-cube cbrt-unprod
5×pow-prod-up
4×add-log-exp
1×swap-sqr associate-*r* pow-sqr *-commutative
Counts
4 → 156
Calls
4 calls:
400.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (* (* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))))
7.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
7.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
7.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

series1.9s

Counts
4 → 12
Calls
4 calls:
435.0ms
(* (cbrt (- x (* (/ 3.0 8.0) y))) (* (* (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))) (cbrt (cbrt (- x (* (/ 3.0 8.0) y))))))
492.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
495.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
488.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))

simplify1.3s

Counts
168 → 168
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02849320
17128779
216217813
done50007468

prune1.2s

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize91.0ms

Local error

Found 4 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
45×cbrt-prod
18×cbrt-div
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log flip3-- pow1/3 add-cbrt-cube flip-- add-log-exp
Counts
4 → 67
Calls
4 calls:
8.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
7.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
7.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
10.0ms
(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))

series2.0s

Counts
4 → 12
Calls
4 calls:
510.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
487.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
471.0ms
(cbrt (cbrt (- x (* (/ 3.0 8.0) y))))
491.0ms
(cbrt (cbrt (cbrt (- x (* (/ 3.0 8.0) y)))))

simplify1.5s

Counts
79 → 79
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01091393
12101354
25041280
315111252
done50001180

prune762.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes517.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
187
done87

end0.0ms

sample880.0ms

Algorithm
intervals
Results
393.0ms7380×body80valid
56.0ms153×body640valid
43.0ms225×body1280valid
25.0ms105×body2560valid
11.0ms92×body320valid
4.0ms45×body160valid