Details

Time bar (total: 12.8s)

sample37.0ms

Algorithm
intervals
Results
11.0ms256×body80valid
8.0ms252×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize9.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite21.0ms

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:
19.0ms
(* x (log x))

series301.0ms

Counts
1 → 3
Calls
1 calls:
301.0ms
(* x (log x))

simplify1.7s

Counts
28 → 28
Iterations

Useful iterations: 3 (145.0ms)

IterNodesCost
053203
193194
2180170
3284163
41030163
done5000163

prune52.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

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)

rewrite63.0ms

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:
26.0ms
(* (* 2 (log (cbrt x))) x)
34.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.4s

Counts
4 → 12
Calls
4 calls:
428.0ms
(* (* 2 (log (cbrt x))) x)
485.0ms
(+ (* (* 2 (log (cbrt x))) x) (* (log (cbrt x)) x))
230.0ms
(cbrt x)
240.0ms
(cbrt x)

simplify1.7s

Counts
64 → 64
Iterations

Useful iterations: done (1.7s)

IterNodesCost
089644
1244518
2956419
done5000370

prune220.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (log (cbrt x)) x)
0.3b
(+ (* (* 2 (log (pow x 1/3))) x) (* (log (cbrt x)) x))
0.5b
(cbrt x)
4.9b
(pow x 1/3)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt
9×add-cube-cbrt *-un-lft-identity
8×pow1
7×add-exp-log
6×add-cbrt-cube add-log-exp
5×associate-*l*
3×cbrt-prod unpow-prod-down pow-unpow associate-*r*
2×pow1/3 log-pow
1×+-commutative pow-to-exp distribute-rgt-out pow-pow flip3-+ unpow1/3 pow-prod-down pow-exp prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr sqr-pow
Counts
4 → 61
Calls
4 calls:
9.0ms
(* (log (cbrt x)) x)
23.0ms
(+ (* (* 2 (log (pow x 1/3))) x) (* (log (cbrt x)) x))
1.0ms
(cbrt x)
4.0ms
(pow x 1/3)

series1.5s

Counts
4 → 12
Calls
4 calls:
423.0ms
(* (log (cbrt x)) x)
574.0ms
(+ (* (* 2 (log (pow x 1/3))) x) (* (log (cbrt x)) x))
223.0ms
(cbrt x)
239.0ms
(pow x 1/3)

simplify1.2s

Counts
73 → 73
Iterations

Useful iterations: done (1.2s)

IterNodesCost
0114681
1274563
2919453
done5000405

prune261.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (sqrt x)) (cbrt (sqrt x)))
0.6b
(cbrt (sqrt x))
0.6b
(cbrt (sqrt x))
4.9b
(pow x 1/3)

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
52×cbrt-prod
44×add-sqr-sqrt
26×sqrt-prod
22×add-cube-cbrt *-un-lft-identity
12×pow1
11×swap-sqr
9×associate-*r* associate-*l* unswap-sqr
8×pow1/3
7×add-exp-log
4×add-cbrt-cube add-log-exp
3×unpow-prod-down pow-unpow
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-to-exp pow-pow pow-plus unpow1/3 pow-exp prod-exp *-commutative cbrt-unprod sqr-pow
Counts
4 → 102
Calls
4 calls:
30.0ms
(* (cbrt (sqrt x)) (cbrt (sqrt x)))
2.0ms
(cbrt (sqrt x))
2.0ms
(cbrt (sqrt x))
4.0ms
(pow x 1/3)

series932.0ms

Counts
4 → 12
Calls
4 calls:
236.0ms
(* (cbrt (sqrt x)) (cbrt (sqrt x)))
215.0ms
(cbrt (sqrt x))
231.0ms
(cbrt (sqrt x))
250.0ms
(pow x 1/3)

simplify1.9s

Counts
114 → 114
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01071034
1208892
2566778
31823743
done5000733

prune391.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes91.0ms

Accuracy

0% (0.2b 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

sample921.0ms

Algorithm
intervals
Results
290.0ms8027×body80valid
187.0ms8178×body80nan