Details

Time bar (total: 2.2s)

sample9.0ms

Algorithm
intervals
Results
4.0ms256×body80valid

simplify2.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
165
done65

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
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt flip3-+ sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 12
Calls
1 calls:
6.0ms
(+ x (/ 1.0 3.0))

series18.0ms

Counts
1 → 3
Calls
1 calls:
18.0ms
(+ x (/ 1.0 3.0))

simplify1.4s

Counts
15 → 15
Iterations

Useful iterations: 2 (24.0ms)

IterNodesCost
028123
178118
2175108
3397108
4975108
52581108
done5001108

prune23.0ms

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))))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
36×cbrt-prod
35×*-un-lft-identity
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt
11×pow1
9×flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
7×associate-*r* associate-*l*
6×add-exp-log
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 95
Calls
4 calls:
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
5.0ms
(cbrt (+ x (/ 1.0 3.0)))
6.0ms
(cbrt (+ x (/ 1.0 3.0)))
49.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(cbrt (+ x (/ 1.0 3.0)))
88.0ms
(cbrt (+ x (/ 1.0 3.0)))
88.0ms
(cbrt (+ x (/ 1.0 3.0)))
107.0ms
(* (cbrt (+ x (/ 1.0 3.0))) (cbrt (+ x (/ 1.0 3.0))))

simplify346.0ms

Iterations

Useful iterations: 2 (107.0ms)

IterNodesCost
01511907
13431762
210221652