Details

Time bar (total: 10.9s)

sample12.0ms

Algorithm
intervals
Results
5.0ms327×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
185
295
done95

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize202.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x y) y)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp
Counts
1 → 18
Calls
1 calls:
7.0ms
(* (* x y) y)

series32.0ms

Counts
1 → 3
Calls
1 calls:
32.0ms
(* (* x y) y)

simplify3.0s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.4s)

IterNodesCost
036157
195152
2376122
31185122
42773121
done5000121

prune33.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
16.8b
(cbrt (* (* x y) y))
16.8b
(cbrt (* (* x y) y))
16.8b
(cbrt (* (* x y) y))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×swap-sqr associate-*r* associate-*l* add-cbrt-cube add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
7.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
5.0ms
(cbrt (* (* x y) y))
5.0ms
(cbrt (* (* x y) y))
8.0ms
(cbrt (* (* x y) y))

series413.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
99.0ms
(cbrt (* (* x y) y))
99.0ms
(cbrt (* (* x y) y))
96.0ms
(cbrt (* (* x y) y))

simplify1.4s

Counts
70 → 70
Iterations

Useful iterations: done (1.4s)

IterNodesCost
086846
1200763
2475668
31173567
42819545
done5000529

prune175.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
10.8b
(cbrt (* x y))
16.8b
(cbrt (* (* x y) y))
16.8b
(cbrt (* (* x y) y))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 38
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt (* x y))
5.0ms
(cbrt (* (* x y) y))
8.0ms
(cbrt (* (* x y) y))

series472.0ms

Counts
4 → 12
Calls
4 calls:
188.0ms
(cbrt y)
73.0ms
(cbrt (* x y))
107.0ms
(cbrt (* (* x y) y))
104.0ms
(cbrt (* (* x y) y))

simplify748.0ms

Counts
50 → 50
Iterations

Useful iterations: 4 (341.0ms)

IterNodesCost
076385
1161375
2311334
3708293
41867283
done5000283

prune144.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt y) (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
5.0ms
(* (cbrt y) (cbrt y))
0.0ms
(cbrt y)
0.0ms
(cbrt y)
1.0ms
(cbrt y)

series784.0ms

Counts
4 → 12
Calls
4 calls:
201.0ms
(* (cbrt y) (cbrt y))
218.0ms
(cbrt y)
185.0ms
(cbrt y)
179.0ms
(cbrt y)

simplify2.8s

Counts
85 → 85
Iterations

Useful iterations: 4 (959.0ms)

IterNodesCost
061524
1115417
2327397
31169379
43701374
done5000374

prune172.0ms

Pruning

10 alts after pruning (6 fresh and 4 done)

Merged error: 0.0b

regimes100.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

end0.0ms

sample322.0ms

Algorithm
intervals
Results
166.0ms10636×body80valid