Details

Time bar (total: 1.1m)

sample1.2s

Algorithm
intervals
Results
126.0ms340×body80valid

simplify174.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (29.0ms)

IterNodesCost
067
1117
2127
done127

prune106.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize1.5s

Local error

Found 2 expressions with local error:

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

rewrite321.0ms

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:
12.0ms
(+ x (* (* y z) z))
251.0ms
(* (* y z) z)

series899.0ms

Counts
2 → 6
Calls
2 calls:
471.0ms
(+ x (* (* y z) z))
424.0ms
(* (* y z) z)

simplify4.8s

Counts
35 → 35
Iterations

Useful iterations: 2 (1.6s)

IterNodesCost
058317
1164295
2973259
done5001259

prune798.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize79.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt z) (cbrt z))
0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite45.0ms

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:
24.0ms
(* (cbrt z) (cbrt z))
2.0ms
(cbrt z)
4.0ms
(cbrt z)
11.0ms
(cbrt z)

series4.2s

Counts
4 → 12
Calls
4 calls:
1.6s
(* (cbrt z) (cbrt z))
841.0ms
(cbrt z)
819.0ms
(cbrt z)
864.0ms
(cbrt z)

simplify5.0s

Counts
85 → 85
Iterations

Useful iterations: done (4.9s)

IterNodesCost
061524
1139417
2735397
done5000383

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize421.0ms

Local error

Found 4 expressions with local error:

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

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series5.2s

Counts
4 → 12
Calls
4 calls:
1.1s
(cbrt z)
1.6s
(cbrt z)
1.3s
(cbrt z)
1.2s
(cbrt z)

simplify13.4s

Counts
56 → 56
Iterations

Useful iterations: 3 (372.0ms)

IterNodesCost
024260
145244
2116220
3342208
4935208
53497208
done5001208

prune1.3s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 2 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
8×associate-*l*
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-*r* 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:
39.0ms
(+ (* (pow z 2) y) x)
44.0ms
(* (pow z 2) y)

series466.0ms

Counts
2 → 6
Calls
2 calls:
324.0ms
(+ (* (pow z 2) y) x)
130.0ms
(* (pow z 2) y)

simplify17.4s

Counts
44 → 44
Iterations

Useful iterations: 2 (435.0ms)

IterNodesCost
069389
1166353
2568312
34370312
done5001312

prune387.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes596.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
197
done97

end0.0ms

sample5.8s

Algorithm
intervals
Results
3.4s10650×body80valid