Details

Time bar (total: 12.7s)

sample13.0ms

Algorithm
intervals
Results
5.0ms345×body80valid

simplify4.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
045
185
295
done95

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize3.0ms

Local error

Found 1 expressions with local error:

0.1b
(* (* x y) y)

rewrite10.0ms

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:
9.0ms
(* (* x y) y)

series31.0ms

Counts
1 → 3
Calls
1 calls:
31.0ms
(* (* x y) y)

simplify4.1s

Counts
23 → 23
Iterations

Useful iterations: 4 (2.2s)

IterNodesCost
038169
197164
2378134
31219134
42943133
done5001133

prune45.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
22.8b
(cbrt (* (* x y) y))
22.8b
(cbrt (* (* x y) y))
22.8b
(cbrt (* (* x y) y))

rewrite25.0ms

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

series401.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (cbrt (* (* x y) y)) (cbrt (* (* x y) y)))
95.0ms
(cbrt (* (* x y) y))
94.0ms
(cbrt (* (* x y) y))
96.0ms
(cbrt (* (* x y) y))

simplify1.6s

Counts
78 → 78
Iterations

Useful iterations: 4 (893.0ms)

IterNodesCost
090916
1208827
2505732
31251629
42901607
done5001607

prune207.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
9.3b
(cbrt (* x y))
22.8b
(cbrt (* (* x y) y))
22.8b
(cbrt (* (* x y) y))

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 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:
183.0ms
(cbrt y)
72.0ms
(cbrt (* x y))
96.0ms
(cbrt (* (* x y) y))
97.0ms
(cbrt (* (* x y) y))

simplify975.0ms

Counts
58 → 58
Iterations

Useful iterations: 4 (463.0ms)

IterNodesCost
082429
1168417
2335374
3760337
41957327
done5000327

prune182.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

11.2b
(* (* y y) x)

rewrite8.0ms

Algorithm
rewrite-expression-head
Rules
6×pow1 add-exp-log add-cbrt-cube
3×add-sqr-sqrt associate-*r* pow-prod-down prod-exp cbrt-unprod
2×add-cube-cbrt *-un-lft-identity
1×expm1-log1p-u associate-*l* *-commutative log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
7.0ms
(* (* y y) x)

series17.0ms

Counts
1 → 3
Calls
1 calls:
17.0ms
(* (* y y) x)

simplify4.2s

Counts
24 → 24
Iterations

Useful iterations: 2 (44.0ms)

IterNodesCost
039177
194172
2363142
31366142
43884142
done5001142

prune41.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0.0b

regimes69.0ms

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

sample331.0ms

Algorithm
intervals
Results
168.0ms10754×body80valid