Details

Time bar (total: 7.5s)

sample16.0ms

Algorithm
intervals
Results
6.0ms338×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1117
2127
done127

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:

0.2b
(* (* y z) z)

rewrite10.0ms

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:
9.0ms
(* (* y z) z)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* (* y z) z)

simplify1.0s

Counts
21 → 21
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
036157
195152
2382122
31507122
done5001122

prune41.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
16.1b
(cbrt (* (* y z) z))
16.1b
(cbrt (* (* y z) z))
16.1b
(cbrt (* (* y z) z))

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

series382.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
90.0ms
(cbrt (* (* y z) z))
89.0ms
(cbrt (* (* y z) z))
93.0ms
(cbrt (* (* y z) z))

simplify1.2s

Counts
70 → 70
Iterations

Useful iterations: 3 (351.0ms)

IterNodesCost
086846
1200763
2561668
32158567
done5001567

prune200.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
9.1b
(cbrt (* y z))
16.1b
(cbrt (* (* y z) z))
16.1b
(cbrt (* (* y z) z))

rewrite13.0ms

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 z)
1.0ms
(cbrt (* y z))
5.0ms
(cbrt (* (* y z) z))
5.0ms
(cbrt (* (* y z) z))

series423.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt z)
67.0ms
(cbrt (* y z))
90.0ms
(cbrt (* (* y z) z))
90.0ms
(cbrt (* (* y z) z))

simplify1.3s

Counts
50 → 50
Iterations

Useful iterations: 4 (483.0ms)

IterNodesCost
076385
1161375
2311334
3785293
42813283
done5000283

prune169.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
9.1b
(cbrt (* y z))
16.1b
(cbrt (* (* y z) z))
16.1b
(cbrt (* (* y z) z))

rewrite16.0ms

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 z)
1.0ms
(cbrt (* y z))
8.0ms
(cbrt (* (* y z) z))
5.0ms
(cbrt (* (* y z) z))

series436.0ms

Counts
4 → 12
Calls
4 calls:
187.0ms
(cbrt z)
64.0ms
(cbrt (* y z))
93.0ms
(cbrt (* (* y z) z))
92.0ms
(cbrt (* (* y z) z))

simplify1.5s

Counts
50 → 50
Iterations

Useful iterations: 4 (485.0ms)

IterNodesCost
076385
1161375
2311334
3785293
42813283
done5000283

prune148.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes151.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample412.0ms

Algorithm
intervals
Results
204.0ms10663×body80valid