Details

Time bar (total: 4.7s)

sample26.0ms

Algorithm
intervals
Results
9.0ms358×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1117
2127
done127

prune3.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

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

rewrite11.0ms

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:
3.0ms
(+ x (* (* y z) z))
7.0ms
(* (* y z) z)

series39.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(+ x (* (* y z) z))
22.0ms
(* (* y z) z)

simplify730.0ms

Counts
35 → 35
Iterations

Useful iterations: 3 (227.0ms)

IterNodesCost
058317
1162295
2615259
32143257
done5000257

prune54.0ms

Filtered
23 candidates to 35 candidates (-52.2%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New30535
Fresh000
Picked011
Done000
Total30636

Merged error: 0.0b

Counts
36 → 6

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(* (cbrt z) (cbrt z))

rewrite16.0ms

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:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
10.0ms
(* (cbrt z) (cbrt z))

series116.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(cbrt z)
27.0ms
(cbrt z)
26.0ms
(cbrt z)
33.0ms
(* (cbrt z) (cbrt z))

simplify800.0ms

Counts
85 → 85
Iterations

Useful iterations: 4 (314.0ms)

IterNodesCost
076590
1151525
2433462
31249382
43397374
done5000374

prune103.0ms

Filtered
56 candidates to 85 candidates (-51.8%)
Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New83285
Fresh044
Picked101
Done011
Total84791

Merged error: 0.0b

Counts
91 → 7

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt z) (cbrt z))
0.7b
(cbrt (cbrt z))
0.7b
(cbrt (cbrt z))
0.7b
(cbrt (cbrt z))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
43×cbrt-prod
26×add-sqr-sqrt
18×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 → 82
Calls
4 calls:
6.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt (cbrt z))
2.0ms
(cbrt (cbrt z))
2.0ms
(cbrt (cbrt z))

series144.0ms

Counts
4 → 12
Calls
4 calls:
30.0ms
(* (cbrt z) (cbrt z))
40.0ms
(cbrt (cbrt z))
37.0ms
(cbrt (cbrt z))
37.0ms
(cbrt (cbrt z))

simplify815.0ms

Counts
94 → 94
Iterations

Useful iterations: 4 (310.0ms)

IterNodesCost
087719
1170648
2465576
31318537
43427497
done5000497

prune108.0ms

Filtered
65 candidates to 94 candidates (-44.6%)
Pruning

7 alts after pruning (5 fresh and 2 done)

PrunedKeptTotal
New94094
Fresh055
Picked011
Done011
Total947101

Merged error: 0.0b

Counts
101 → 7

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(pow z 2)
0.0b
(+ x (* y (pow z 2)))
10.7b
(* y (pow z 2))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
9×add-exp-log
8×add-cube-cbrt *-un-lft-identity associate-*r*
7×unpow-prod-down
5×add-cbrt-cube add-log-exp
4×pow1 unswap-sqr
3×pow-unpow associate-*l* prod-exp unpow2 sqr-pow
2×pow-to-exp pow-exp
1×+-commutative pow-pow flip3-+ sum-log *-commutative cbrt-unprod flip-+
Counts
3 → 56
Calls
3 calls:
2.0ms
(pow z 2)
3.0ms
(+ x (* y (pow z 2)))
6.0ms
(* y (pow z 2))

series27.0ms

Counts
3 → 9
Calls
3 calls:
3.0ms
(pow z 2)
16.0ms
(+ x (* y (pow z 2)))
8.0ms
(* y (pow z 2))

simplify557.0ms

Counts
65 → 65
Iterations

Useful iterations: 3 (141.0ms)

IterNodesCost
083501
1206435
2532384
31524382
done5000382

prune74.0ms

Filtered
40 candidates to 65 candidates (-62.5%)
Pruning

7 alts after pruning (4 fresh and 3 done)

PrunedKeptTotal
New64165
Fresh134
Picked011
Done022
Total65772

Merged error: 0.0b

Counts
72 → 7

regimes319.0ms

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

sample720.0ms

Algorithm
intervals
Results
293.0ms10862×body80valid

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