Details

Time bar (total: 3.0s)

sample22.0ms

Algorithm
intervals
Results
9.0ms240×body80valid
1.0ms6×body1280valid
1.0ms5×body640valid
1.0ms2×body2560valid
0.0ms2×body160valid
0.0ms1×body320valid

simplify164.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1127
2197
3297
4407
5457
6497
7587
8747
9907
101017
111037
121077
131087
done1087

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (/ (- x y) 2.0))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
3×*-un-lft-identity add-log-exp
1×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r- flip3-+ div-sub sum-log add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 13
Calls
1 calls:
47.0ms
(+ x (/ (- x y) 2.0))

series47.0ms

Counts
1 → 3
Calls
1 calls:
47.0ms
(+ x (/ (- x y) 2.0))

simplify2.4s

Counts
16 → 16
Iterations

Useful iterations: 2 (65.0ms)

IterNodesCost
034178
192171
2244157
3682157
43238157
done5002157

prune72.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))
0.6b
(cbrt (+ x (/ (- x y) 2.0)))

rewrite277.0ms

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:
191.0ms
(* (cbrt (+ x (/ (- x y) 2.0))) (cbrt (+ x (/ (- x y) 2.0))))
35.0ms
(cbrt (+ x (/ (- x y) 2.0)))
21.0ms
(cbrt (+ x (/ (- x y) 2.0)))
26.0ms
(cbrt (+ x (/ (- x y) 2.0)))

series16.0ms