Details

Time bar (total: 2.1s)

sample37.0ms

Algorithm
intervals
Results
15.0ms230×body80valid
3.0ms10×body1280valid
2.0msbody640valid
1.0msbody320valid
0.0msbody2560valid
0.0msbody160valid

simplify392.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (63.0ms)

IterNodesCost
0811
12011
26111
31459
42249
52299
done2299

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(+ x (+ z (* 2 (+ x y))))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
add-log-exp
*-un-lft-identity sum-log
pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt associate-+r+ flip3-+ add-cbrt-cube flip-+ distribute-lft-out
Counts
1 → 14
Calls
1 calls:
16.0ms
(+ x (+ z (* 2 (+ x y))))

series50.0ms

Counts
1 → 3
Calls
1 calls:
49.0ms
(+ x (+ z (* 2 (+ x y))))

simplify1.3s

Counts
17 → 17
Iterations

Useful iterations: 2 (57.0ms)

IterNodesCost
038232
1111221
2385203
31904203
done5000203

prune48.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt (+ x (+ z (* 2 (+ x y)))))
0.5b
(cbrt (+ x (+ z (* 2 (+ x y)))))
0.5b
(cbrt (+ x (+ z (* 2 (+ x y)))))
0.5b
(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))

rewrite171.0ms

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
flip3-+ pow1/3 swap-sqr flip-+ distribute-lft-out
associate-*r* associate-*l*
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 → 95
Calls
4 calls:
10.0ms
(cbrt (+ x (+ z (* 2 (+ x y)))))
18.0ms
(cbrt (+ x (+ z (* 2 (+ x y)))))
19.0ms
(cbrt (+ x (+ z (* 2 (+ x y)))))
120.0ms
(* (cbrt (+ x (+ z (* 2 (+ x y))))) (cbrt (+ x (+ z (* 2 (+ x y))))))

series8.0ms