Details

Time bar (total: 4.2s)

sample63.0ms

Algorithm
intervals
Results
9.0ms319×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
2155
3195
done195

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×expm1-log1p-u flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ log1p-expm1-u distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 23
Calls
1 calls:
25.0ms
(* (+ x y) z)

series35.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* (+ x y) z)

simplify3.9s

Counts
26 → 26
Iterations

Useful iterations: 2 (59.0ms)

IterNodesCost
047190
1111185
2377163
31143163
44461163
done5000163

prune68.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (+ x y)) (cbrt (+ x y)))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))
0.6b
(cbrt (+ x y))

rewrite74.0ms

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×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u 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 → 103
Calls
4 calls:
59.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))
4.0ms
(cbrt (+ x y))

series5.0ms