Details

Time bar (total: 12.7s)

sample12.0ms

Algorithm
intervals
Results
5.0ms345×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: 0.1b

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) y)

rewrite7.0ms

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:
6.0ms
(* (* x y) y)

series30.0ms

Counts
1 → 3
Calls
1 calls:
30.0ms
(* (* x y) y)

simplify4.0s

Counts
21 → 21
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
036157
195152
2376122
31185122
42830121
done5001121

prune35.0ms

Pruning

6 alts after pruning (5 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)))
22.8b
(cbrt (* (* x y) y))
22.8b
(cbrt (* (* x y) y))
22.8b
(cbrt (* (* x y) y))

rewrite26.0ms

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:
10.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
5.0ms
(cbrt (* (* x y) y))
5.0ms
(cbrt (* (* x y) y))
5.0ms
(cbrt (* (* x y) y))

series387.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
91.0ms
(cbrt (* (* x y) y))
91.0ms
(cbrt (* (* x y) y))
93.0ms
(cbrt (* (* x y) y))

simplify1.5s

Counts
70 → 70
Iterations

Useful iterations: done (1.5s)

IterNodesCost
086846
1200763
2475668
31173567
42794545
done5000529

prune152.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
9.3b
(cbrt (* x y))
22.8b
(cbrt (* (* x y) y))
22.8b
(cbrt (* (* x y) y))

rewrite12.0ms

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))
5.0ms
(cbrt (* (* x y) y))

series429.0ms

Counts
4 → 12
Calls
4 calls:
175.0ms
(cbrt y)
69.0ms
(cbrt (* x y))
93.0ms
(cbrt (* (* x y) y))
92.0ms
(cbrt (* (* x y) y))

simplify929.0ms

Counts
50 → 50
Iterations

Useful iterations: 4 (403.0ms)

IterNodesCost
076385
1161375
2311334
3708293
41867283
done5000283

prune137.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

11.2b
(* (* y y) x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt *-un-lft-identity
1×associate-*l* *-commutative add-log-exp unswap-sqr
Counts
1 → 19
Calls
1 calls:
7.0ms
(* (* y y) x)

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* (* y y) x)

simplify4.5s

Counts
22 → 22
Iterations

Useful iterations: 2 (45.0ms)

IterNodesCost
037165
192160
2357130
31378130
43811130
done5000130

prune31.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes58.0ms

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

sample323.0ms

Algorithm
intervals
Results
162.0ms10754×body80valid