Details

Time bar (total: 21.8s)

sample32.0ms

Algorithm
intervals
Results
10.0ms257×body80valid
8.0ms309×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))

rewrite20.0ms

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
expm1-log1p-u pow-prod-down prod-exp log-pow *-commutative cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 27
Calls
1 calls:
19.0ms
(* x (log x))

series268.0ms

Counts
1 → 3
Calls
1 calls:
268.0ms
(* x (log x))

simplify2.9s

Counts
30 → 30
Iterations

Useful iterations: 3 (150.0ms)

IterNodesCost
055213
195204
2183180
3283173
41038173
done5001173

prune63.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

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)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1
11×add-exp-log add-sqr-sqrt add-cbrt-cube
add-cube-cbrt *-un-lft-identity
cbrt-prod associate-*r* associate-*l*
expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
pow1/3
log-pow *-commutative
unswap-sqr
Counts
4 → 68
Calls
4 calls:
9.0ms
(* (log (cbrt x)) x)
29.0ms
(* (* 2 (log (cbrt x))) x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.6s

Counts
4 → 12
Calls
4 calls:
541.0ms
(* (log (cbrt x)) x)
497.0ms
(* (* 2 (log (cbrt x))) x)
306.0ms
(cbrt x)
283.0ms
(cbrt x)

simplify3.9s

Counts
80 → 80
Iterations

Useful iterations: 3 (1.9s)

IterNodesCost
089565
1197535
2728437
33121431
done5001431

prune273.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

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

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
12×pow1 add-exp-log add-sqr-sqrt
11×add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
associate-*r*
associate-*l*
expm1-log1p-u pow-prod-down prod-exp cbrt-unprod log1p-expm1-u add-log-exp
cbrt-prod unpow-prod-down pow-unpow
*-commutative
pow-to-exp pow-pow unpow1/3 pow1/3 pow-exp log-pow unswap-sqr sqr-pow
Counts
4 → 74
Calls
4 calls:
19.0ms
(* (log (pow x 1/3)) x)
23.0ms
(* (* 2 (log (cbrt x))) x)
1.0ms
(cbrt x)
3.0ms
(pow x 1/3)

series1.6s

Counts
4 → 12
Calls
4 calls:
519.0ms
(* (log (pow x 1/3)) x)
538.0ms
(* (* 2 (log (cbrt x))) x)
265.0ms
(cbrt x)
265.0ms
(pow x 1/3)

simplify5.6s

Counts
86 → 86
Iterations

Useful iterations: done (5.6s)

IterNodesCost
0123640
1265549
2893457
34188439
done5001437

prune387.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.4b
(* (sqrt x) (log x))
0.4b
(* (sqrt x) (* (sqrt x) (log x)))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
18×log-prod
17×add-sqr-sqrt
15×distribute-rgt-in distribute-lft-in
13×add-cube-cbrt *-un-lft-identity
12×associate-*l*
10×pow1
add-exp-log add-cbrt-cube
sqrt-prod
associate-*r*
pow-prod-down prod-exp cbrt-unprod
expm1-log1p-u *-commutative log1p-expm1-u add-log-exp unswap-sqr
log-pow
Counts
2 → 66
Calls
2 calls:
17.0ms
(* (sqrt x) (log x))
41.0ms
(* (sqrt x) (* (sqrt x) (log x)))

series281.0ms

Counts
2 → 6
Calls
2 calls:
76.0ms
(* (sqrt x) (log x))
204.0ms
(* (sqrt x) (* (sqrt x) (log x)))

simplify4.1s

Counts
72 → 72
Iterations

Useful iterations: done (4.1s)

IterNodesCost
0140909
1315680
2914601
32611575
done5000571

prune546.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes4.0ms