Details

Time bar (total: 17.5s)

sample42.0ms

Algorithm
intervals
Results
13.0ms257×body80valid
11.0ms309×body80nan

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034
144
done44

prune4.0ms

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))

series316.0ms

Counts
1 → 3
Calls
1 calls:
315.0ms
(* x (log x))

simplify1.6s

Counts
28 → 28
Iterations

Useful iterations: 3 (131.0ms)

IterNodesCost
053203
193194
2180170
3284163
41030163
done5000163

prune64.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

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

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
11×add-exp-log add-sqr-sqrt add-cbrt-cube
9×add-cube-cbrt *-un-lft-identity
6×cbrt-prod associate-*r* associate-*l*
4×pow-prod-down prod-exp cbrt-unprod add-log-exp
3×pow1/3
2×log-pow *-commutative
1×unswap-sqr
Counts
4 → 60
Calls
4 calls:
18.0ms
(* (log (cbrt x)) x)
43.0ms
(* (* 2 (log (cbrt x))) x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.8s

Counts
4 → 12
Calls
4 calls:
632.0ms
(* (log (cbrt x)) x)
512.0ms
(* (* 2 (log (cbrt x))) x)
317.0ms
(cbrt x)
346.0ms
(cbrt x)

simplify4.1s

Counts
72 → 72
Iterations

Useful iterations: 3 (2.0s)

IterNodesCost
083525
1191495
2723399
33090393
done5000393

prune291.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (cbrt x))
0.6b
(cbrt (pow x 2/3))
6.0b
(pow x 2/3)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
19×cbrt-prod
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down
5×pow1 add-exp-log
4×add-cbrt-cube add-log-exp
3×pow-unpow pow1/3
2×sqr-pow
1×pow-to-exp pow-pow pow-exp
Counts
4 → 57
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt (cbrt x))
2.0ms
(cbrt (pow x 2/3))
9.0ms
(pow x 2/3)

series1.2s

Counts
4 → 12
Calls
4 calls:
269.0ms
(cbrt x)
333.0ms
(cbrt (cbrt x))
351.0ms
(cbrt (pow x 2/3))
254.0ms
(pow x 2/3)

simplify2.5s

Counts
69 → 69
Iterations

Useful iterations: 4 (959.0ms)

IterNodesCost
093428
1171383
2320347
3732333
42652328
done5000328

prune353.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.3b
(* x 2/3)
0.3b
(* (log (cbrt x)) x)
0.3b
(* (* x 2/3) (log x))
0.6b
(cbrt x)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
15×pow1
13×add-exp-log add-cbrt-cube
12×add-cube-cbrt *-un-lft-identity
10×associate-*r*
9×associate-*l*
6×log-prod
5×pow-prod-down prod-exp cbrt-unprod
4×add-log-exp
3×cbrt-prod distribute-rgt-in distribute-lft-in log-pow *-commutative
2×pow1/3 unswap-sqr
Counts
4 → 74
Calls
4 calls:
8.0ms
(* x 2/3)
14.0ms
(* (log (cbrt x)) x)
33.0ms
(* (* x 2/3) (log x))
2.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
28.0ms
(* x 2/3)
525.0ms
(* (log (cbrt x)) x)
280.0ms
(* (* x 2/3) (log x))
299.0ms
(cbrt x)

simplify3.4s

Counts
86 → 86
Iterations

Useful iterations: done (3.4s)

IterNodesCost
0124624
1269588
2863512
32801494
done5000489

prune363.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes3.0ms