Details

Time bar (total: 17.0s)

sample43.0ms

Algorithm
intervals
Results
11.0ms258×body80valid
9.0ms287×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize12.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×log-prod
5×add-cube-cbrt *-un-lft-identity
4×pow1 associate-*r*
3×add-exp-log distribute-rgt-in distribute-lft-in associate-*l* add-cbrt-cube
1×pow-prod-down prod-exp log-pow *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 25
Calls
1 calls:
22.0ms
(* x (log x))

series402.0ms

Counts
1 → 3
Calls
1 calls:
402.0ms
(* x (log x))

simplify1.9s

Counts
28 → 28
Iterations

Useful iterations: 3 (412.0ms)

IterNodesCost
053203
1107194
2288172
31607163
done5001163

prune148.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2 (log (cbrt x))) x)
0.3b
(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
0.5b
(cbrt x)
0.5b
(cbrt x)

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
9×pow1 add-exp-log add-cbrt-cube
7×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×cbrt-prod add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative distribute-rgt-out flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 52
Calls
4 calls:
40.0ms
(* (* 2 (log (cbrt x))) x)
49.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
2.0ms
(cbrt x)
2.0ms
(cbrt x)

series2.6s

Counts
4 → 12
Calls
4 calls:
697.0ms
(* (* 2 (log (cbrt x))) x)
719.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
825.0ms
(cbrt x)
376.0ms
(cbrt x)

simplify1.7s

Counts
64 → 64
Iterations

Useful iterations: done (1.7s)

IterNodesCost
089644
1262568
21519420
done5001382

prune474.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize53.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* 2 (log (cbrt x))) x)
0.3b
(+ (* (* 2 (log (cbrt x))) x) (* (log (pow x 1/3)) x))
0.5b
(cbrt x)
5.0b
(pow x 1/3)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
10×pow1 add-exp-log
9×add-cbrt-cube
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×add-log-exp
3×cbrt-prod unpow-prod-down pow-unpow associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative pow-to-exp distribute-rgt-out pow-pow flip3-+ unpow1/3 pow1/3 associate-*l* pow-exp sum-log *-commutative flip-+ sqr-pow
Counts
4 → 59
Calls
4 calls:
49.0ms
(* (* 2 (log (cbrt x))) x)
44.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (log (pow x 1/3)) x))
2.0ms
(cbrt x)
5.0ms
(pow x 1/3)

series2.4s

Counts
4 → 12
Calls
4 calls:
704.0ms
(* (* 2 (log (cbrt x))) x)
922.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (log (pow x 1/3)) x))
384.0ms
(cbrt x)
390.0ms
(pow x 1/3)

simplify1.7s

Counts
71 → 71
Iterations

Useful iterations: done (1.7s)

IterNodesCost
0122730
1368604
21821506
done5000488

prune429.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt x)
0.5b
(cbrt x)
0.6b
(cbrt (cbrt x))
4.5b
(pow (cbrt x) 2/3)

rewrite13.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 add-exp-log
4×pow1/3 add-cbrt-cube add-log-exp
3×pow-unpow
2×pow-pow
1×pow-to-exp pow-exp sqr-pow
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
2.0ms
(cbrt (cbrt x))
5.0ms
(pow (cbrt x) 2/3)

series1.6s

Counts
4 → 12
Calls
4 calls:
323.0ms
(cbrt x)
330.0ms
(cbrt x)
424.0ms
(cbrt (cbrt x))
499.0ms
(pow (cbrt x) 2/3)

simplify1.5s

Counts
69 → 69
Iterations

Useful iterations: done (1.5s)

IterNodesCost
073417
1193381
2606348
32258336
done5000316

prune429.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes163.0ms

Accuracy

0% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

end0.0ms

sample1.1s

Algorithm
intervals
Results
310.0ms8037×body80valid
239.0ms7949×body80nan