Details

Time bar (total: 4.2s)

sample33.0ms

Algorithm
intervals
Results
10.0ms256×body80valid
5.0ms263×body80nan

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0144
1254
2414
3524
4854
51064
61414
72154
82364
92364
done2364

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize7.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log y))

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
log-prod
add-cube-cbrt *-un-lft-identity
pow1 associate-*r*
add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
9.0ms
(* x (log y))

series49.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(* x (log y))

simplify85.0ms

Counts
28 → 28
Iterations

Useful iterations: 2 (9.0ms)

IterNodesCost
097115
133999
290692
3298092
4500292
done500292

prune46.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.2b
(* x (log (cbrt y)))
0.3b
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
48×log-prod
36×distribute-rgt-in distribute-lft-in
30×cbrt-prod
26×add-sqr-sqrt
24×add-cube-cbrt associate-+l+ *-un-lft-identity
12×associate-+r+
pow1
add-exp-log add-cbrt-cube add-log-exp
associate-*r*
pow1/3 associate-*l*
log-pow
+-commutative flip3-+ pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
4 → 102
Calls
4 calls:
11.0ms
(* x (log (cbrt y)))
27.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series516.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(* x (log (cbrt y)))
93.0ms
(+ (* x (* 2 (log (cbrt y)))) (* x (log (cbrt y))))
164.0ms
(cbrt y)
174.0ms
(cbrt y)

simplify48.0ms

Counts
114 → 114
Iterations

Useful iterations: 2 (41.0ms)

IterNodesCost
0345729
11431634
25001547
done5001547

prune326.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt y))
0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite5.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 47
Calls
4 calls:
2.0ms
(cbrt (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series737.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(cbrt (cbrt y))
179.0ms
(cbrt y)
167.0ms
(cbrt y)
169.0ms
(cbrt y)

simplify45.0ms

Counts
59 → 59
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
071191
1141177
2357169
31377169
45001169
done5001169

prune252.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt (* x (log (cbrt y))))
0.6b
(cbrt (* x (log (cbrt y))))
0.6b
(cbrt (* x (log (cbrt y))))

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
cbrt-prod
add-sqr-sqrt add-cube-cbrt *-un-lft-identity
pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 38
Calls
4 calls:
1.0ms
(cbrt y)
4.0ms
(cbrt (* x (log (cbrt y))))
4.0ms
(cbrt (* x (log (cbrt y))))
4.0ms
(cbrt (* x (log (cbrt y))))

series708.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(cbrt y)
180.0ms
(cbrt (* x (log (cbrt y))))
177.0ms
(cbrt (* x (log (cbrt y))))
176.0ms
(cbrt (* x (log (cbrt y))))

simplify55.0ms

Counts
50 → 50
Iterations

Useful iterations: 4 (52.0ms)

IterNodesCost
0106288
1212258
2598241
32066232
45001229
done5001229

prune190.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes87.0ms

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
084
184
done84

end0.0ms

sample871.0ms

Algorithm
intervals
Results
237.0ms8036×body80valid
170.0ms7910×body80nan