Details

Time bar (total: 2.1s)

sample9.0ms

Algorithm
intervals
Results
3.0ms256×body80valid

simplify3.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
2105
done105

prune1.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize3.0ms

Local error

Found 1 expressions with local error:

0.0b
(- x (/ 1.0 3.0))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
*-un-lft-identity add-log-exp
difference-of-squares
pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 15
Calls
1 calls:
6.0ms
(- x (/ 1.0 3.0))

series26.0ms

Counts
1 → 3
Calls
1 calls:
26.0ms
(- x (/ 1.0 3.0))

simplify1.1s

Counts
18 → 18
Iterations

Useful iterations: 2 (18.0ms)

IterNodesCost
038161
182156
2171146
3374146
4994146
53067146
done5000146

prune33.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(cbrt (- x (/ 1.0 3.0)))
0.3b
(cbrt (- x (/ 1.0 3.0)))
0.7b
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
50×cbrt-prod
35×*-un-lft-identity
18×cbrt-div
15×add-cube-cbrt
14×difference-of-squares
11×pow1 swap-sqr
flip3-- pow1/3 associate-*r* associate-*l* flip-- distribute-lft-out--
times-frac
add-exp-log
frac-times add-cbrt-cube add-log-exp unswap-sqr
associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 107
Calls
4 calls:
5.0ms
(cbrt (- x (/ 1.0 3.0)))
5.0ms
(cbrt (- x (/ 1.0 3.0)))
6.0ms
(cbrt (- x (/ 1.0 3.0)))
50.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

series443.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(cbrt (- x (/ 1.0 3.0)))
103.0ms
(cbrt (- x (/ 1.0 3.0)))
111.0ms
(cbrt (- x (/ 1.0 3.0)))
128.0ms
(* (cbrt (- x (/ 1.0 3.0))) (cbrt (- x (/ 1.0 3.0))))

simplify391.0ms

Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
01832137
14021979
211881871