Details

Time bar (total: 15.5s)

sample104.0ms

Algorithm
intervals
Results
18.0ms351×body80valid

simplify20.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
067
1117
2127
done127

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize14.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* y z) z)

rewrite84.0ms

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:
81.0ms
(* (* y z) z)

series64.0ms

Counts
1 → 3
Calls
1 calls:
63.0ms
(* (* y z) z)

simplify5.0s

Counts
21 → 21
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
036157
193152
2338122
3689122
4986121
52778121
done5001121

prune61.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
21.2b
(cbrt (* (* y z) z))
21.2b
(cbrt (* (* y z) z))
21.2b
(cbrt (* (* y z) z))

rewrite118.0ms

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:
54.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
27.0ms
(cbrt (* (* y z) z))
13.0ms
(cbrt (* (* y z) z))
21.0ms
(cbrt (* (* y z) z))

series603.0ms

Counts
4 → 12
Calls
4 calls:
193.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
149.0ms
(cbrt (* (* y z) z))
135.0ms
(cbrt (* (* y z) z))
125.0ms
(cbrt (* (* y z) z))

simplify2.6s

Counts
70 → 70
Iterations

Useful iterations: done (2.6s)

IterNodesCost
086846
1200763
2485668
31085567
42916545
done5001497

prune320.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt z)
9.9b
(cbrt (* y z))
21.2b
(cbrt (* (* y z) z))
21.2b
(cbrt (* (* y z) z))

rewrite32.0ms

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:
1.0ms
(cbrt z)
4.0ms
(cbrt (* y z))
13.0ms
(cbrt (* (* y z) z))
13.0ms
(cbrt (* (* y z) z))

series606.0ms

Counts
4 → 12
Calls
4 calls:
248.0ms
(cbrt z)
115.0ms
(cbrt (* y z))
136.0ms
(cbrt (* (* y z) z))
106.0ms
(cbrt (* (* y z) z))

simplify1.4s

Counts
50 → 50
Iterations

Useful iterations: done (1.4s)

IterNodesCost
076385
1161375
2332334
3767293
41951283
done5000280

prune234.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 4 expressions with local error:

0.7b
(cbrt z)
9.9b
(cbrt (* y z))
21.2b
(cbrt (* (* y z) z))
21.2b
(cbrt (* (* y z) z))

rewrite37.0ms

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:
1.0ms
(cbrt z)
3.0ms
(cbrt (* y z))
19.0ms
(cbrt (* (* y z) z))
13.0ms
(cbrt (* (* y z) z))

series674.0ms

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt z)
124.0ms
(cbrt (* y z))
134.0ms
(cbrt (* (* y z) z))
116.0ms
(cbrt (* (* y z) z))

simplify1.7s

Counts
50 → 50
Iterations

Useful iterations: done (1.7s)

IterNodesCost
076385
1161375
2332334
3767293
41951283
done5000280

prune219.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes166.0ms

Accuracy

0% (0.1b 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
067
197
done97

end0.0ms

sample1.3s

Algorithm
intervals
Results
382.0ms10719×body80valid