Details

Time bar (total: 8.6s)

sample12.0ms

Algorithm
intervals
Results
5.0ms330×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
185
295
done95

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize3.0ms

Local error

Found 1 expressions with local error:

0.2b
(* (* x y) y)

rewrite7.0ms

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×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp
Counts
1 → 20
Calls
1 calls:
6.0ms
(* (* x y) y)

series33.0ms

Counts
1 → 3
Calls
1 calls:
33.0ms
(* (* x y) y)

simplify2.9s

Counts
23 → 23
Iterations

Useful iterations: 4 (1.3s)

IterNodesCost
038169
197164
2378134
31219134
42860133
done5001133

prune38.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
22.9b
(cbrt (* (* x y) y))
22.9b
(cbrt (* (* x y) y))
22.9b
(cbrt (* (* x y) y))

rewrite26.0ms

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×expm1-log1p-u swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u 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 → 66
Calls
4 calls:
7.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
5.0ms
(cbrt (* (* x y) y))
5.0ms
(cbrt (* (* x y) y))
7.0ms
(cbrt (* (* x y) y))

series398.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
95.0ms
(cbrt (* (* x y) y))
96.0ms
(cbrt (* (* x y) y))
95.0ms
(cbrt (* (* x y) y))

simplify1.5s

Counts
78 → 78
Iterations

Useful iterations: 4 (799.0ms)

IterNodesCost
090916
1208827
2505732
31250629
42907607
done5001607

prune194.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
12.3b
(cbrt (* x y))
22.9b
(cbrt (* (* x y) y))
22.9b
(cbrt (* (* x y) y))

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×cbrt-prod
5×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 46
Calls
4 calls:
0.0ms
(cbrt y)
1.0ms
(cbrt (* x y))
5.0ms
(cbrt (* (* x y) y))
5.0ms
(cbrt (* (* x y) y))

series447.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(cbrt y)
71.0ms
(cbrt (* x y))
98.0ms
(cbrt (* (* x y) y))
98.0ms
(cbrt (* (* x y) y))

simplify853.0ms

Counts
58 → 58
Iterations

Useful iterations: 4 (410.0ms)

IterNodesCost
082429
1168417
2335374
3760337
41957327
done5000327

prune178.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt y))
12.3b
(cbrt (* x y))
22.9b
(cbrt (* (* x y) y))
22.9b
(cbrt (* (* x y) y))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
Counts
4 → 49
Calls
4 calls:
1.0ms
(cbrt (cbrt y))
1.0ms
(cbrt (* x y))
5.0ms
(cbrt (* (* x y) y))
5.0ms
(cbrt (* (* x y) y))

series514.0ms

Counts
4 → 12
Calls
4 calls:
250.0ms
(cbrt (cbrt y))
67.0ms
(cbrt (* x y))
97.0ms
(cbrt (* (* x y) y))
99.0ms
(cbrt (* (* x y) y))

simplify855.0ms

Counts
61 → 61
Iterations

Useful iterations: 4 (397.0ms)

IterNodesCost
093474
1183461
2348418
3778386
41850372
done5001372

prune213.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes92.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045
165
done65

end0.0ms

sample323.0ms

Algorithm
intervals
Results
160.0ms10662×body80valid