Details

Time bar (total: 10.2s)

sample15.0ms

Algorithm
intervals
Results
5.0ms256×body80valid
3.0ms226×body80nan

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
034
144
done44

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.3b

localize4.0ms

Local error

Found 1 expressions with local error:

0.3b
(* x (log x))

rewrite5.0ms

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:
4.0ms
(* x (log x))

series169.0ms

Counts
1 → 3
Calls
1 calls:
169.0ms
(* x (log x))

simplify3.7s

Counts
28 → 28
Iterations

Useful iterations: 3 (125.0ms)

IterNodesCost
053203
193194
2271170
3688163
42343163
done5000163

prune47.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod associate-+r+ log-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×pow1 add-exp-log add-cbrt-cube
6×distribute-rgt-in distribute-lft-in add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod
2×pow1/3
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
4 → 63
Calls
4 calls:
8.0ms
(* (* 2 (log (cbrt x))) x)
10.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
0.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
354.0ms
(* (* 2 (log (cbrt x))) x)
353.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (cbrt x))))
179.0ms
(cbrt x)
179.0ms
(cbrt x)

simplify625.0ms

Counts
75 → 75
Iterations

Useful iterations: done (623.0ms)

IterNodesCost
0119811
1291731
2978545
done5001528

prune194.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (cbrt x))

rewrite4.0ms

Algorithm
rewrite-expression-head
Rules
24×cbrt-prod
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
4×pow1 add-exp-log pow1/3 add-cbrt-cube add-log-exp
Counts
4 → 50
Calls
4 calls:
0.0ms
(cbrt x)
0.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
1.0ms
(cbrt (cbrt x))

series866.0ms

Counts
4 → 12
Calls
4 calls:
185.0ms
(cbrt x)
183.0ms
(cbrt x)
254.0ms
(cbrt (cbrt x))
244.0ms
(cbrt (cbrt x))

simplify543.0ms

Counts
62 → 62
Iterations

Useful iterations: 3 (57.0ms)

IterNodesCost
042346
175328
2147300
3338288
41136288
done5001288

prune207.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* 2 (log (cbrt x))) x)
0.3b
(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow x 1/3))))
0.6b
(cbrt x)
5.1b
(pow x 1/3)

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
14×associate-+r+ log-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
10×pow1 add-exp-log
9×unpow-prod-down add-cbrt-cube
7×distribute-rgt-in distribute-lft-in
6×add-log-exp
3×cbrt-prod pow-unpow associate-*r* pow-prod-down prod-exp cbrt-unprod sqr-pow
1×+-commutative pow-to-exp pow-pow flip3-+ unpow1/3 pow1/3 associate-*l* pow-exp sum-log *-commutative flip-+
Counts
4 → 72
Calls
4 calls:
8.0ms
(* (* 2 (log (cbrt x))) x)
10.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow x 1/3))))
0.0ms
(cbrt x)
1.0ms
(pow x 1/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
344.0ms
(* (* 2 (log (cbrt x))) x)
458.0ms
(+ (* (* 2 (log (cbrt x))) x) (* x (log (pow x 1/3))))
177.0ms
(cbrt x)
174.0ms
(pow x 1/3)

simplify811.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (375.0ms)

IterNodesCost
0155940
1379783
21329599
done5001599

prune205.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes49.0ms

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

sample418.0ms

Algorithm
intervals
Results
156.0ms8034×body80valid
98.0ms8013×body80nan