Details

Time bar (total: 7.7s)

sample17.0ms

Algorithm
intervals
Results
7.0ms354×body80valid

simplify8.0ms

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 2 expressions with local error:

0.0b
(+ x (* (* y z) z))
0.2b
(* (* y z) z)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
2.0ms
(+ x (* (* y z) z))
9.0ms
(* (* y z) z)

series91.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ x (* (* y z) z))
35.0ms
(* (* y z) z)

simplify2.2s

Counts
35 → 35
Iterations

Useful iterations: 3 (637.0ms)

IterNodesCost
058317
1160295
2594259
32269257
done5000257

prune66.0ms

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)))
22.1b
(cbrt (* (* y z) z))
22.1b
(cbrt (* (* y z) z))
22.1b
(cbrt (* (* y z) z))

rewrite28.0ms

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

series388.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (cbrt (* (* y z) z)) (cbrt (* (* y z) z)))
91.0ms
(cbrt (* (* y z) z))
92.0ms
(cbrt (* (* y z) z))
95.0ms
(cbrt (* (* y z) z))

simplify1.5s

Counts
70 → 70
Iterations

Useful iterations: 4 (811.0ms)

IterNodesCost
086846
1200763
2475668
31176567
42810545
done5000545

prune167.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
10.1b
(cbrt (* y z))
22.1b
(cbrt (* (* y z) z))
22.1b
(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:
178.0ms
(cbrt z)
64.0ms
(cbrt (* y z))
90.0ms
(cbrt (* (* y z) z))
91.0ms
(cbrt (* (* y z) z))

simplify904.0ms

Counts
50 → 50
Iterations

Useful iterations: 4 (393.0ms)

IterNodesCost
076385
1161375
2311334
3708293
41869283
done5000283

prune154.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* y (pow z 2)))
8.5b
(* y (pow z 2))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*r*
7×add-exp-log
5×add-cube-cbrt *-un-lft-identity
4×unpow-prod-down add-cbrt-cube add-log-exp unswap-sqr
3×associate-*l* prod-exp
2×pow1 unpow2 sqr-pow
1×+-commutative pow-to-exp flip3-+ pow-exp sum-log *-commutative cbrt-unprod flip-+
Counts
2 → 38
Calls
2 calls:
2.0ms
(+ x (* y (pow z 2)))
6.0ms
(* y (pow z 2))

series78.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ x (* y (pow z 2)))
29.0ms
(* y (pow z 2))

simplify956.0ms

Counts
44 → 44
Iterations

Useful iterations: 3 (208.0ms)

IterNodesCost
074392
1171352
2449325
31387311
done5000311

prune82.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 0.0b

regimes119.0ms

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

sample440.0ms

Algorithm
intervals
Results
219.0ms10612×body80valid