Details

Time bar (total: 13.5s)

sample18.0ms

Algorithm
intervals
Results
8.0ms313×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1157
2257
3337
4377
5437
done437

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 2 expressions with local error:

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

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt *-un-lft-identity
pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
associate-*l*
distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
7.0ms
(+ x (* y (+ z x)))
19.0ms
(* y (+ z x))

series92.0ms

Counts
2 → 6
Calls
2 calls:
42.0ms
(+ x (* y (+ z x)))
49.0ms
(* y (+ z x))

simplify2.0s

Counts
42 → 42
Iterations

Useful iterations: 2 (92.0ms)

IterNodesCost
067376
1187348
2601318
32704318
done5000318

prune87.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (+ z x)) (cbrt (+ z x)))
0.6b
(cbrt (+ z x))
0.6b
(cbrt (+ z x))
0.6b
(cbrt (+ z x))

rewrite88.0ms

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:
57.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))
8.0ms
(cbrt (+ z x))
8.0ms
(cbrt (+ z x))
7.0ms
(cbrt (+ z x))

series883.0ms

Counts
4 → 12
Calls
4 calls:
208.0ms
(* (cbrt (+ z x)) (cbrt (+ z x)))
227.0ms
(cbrt (+ z x))
216.0ms
(cbrt (+ z x))
231.0ms
(cbrt (+ z x))

simplify3.4s

Counts
107 → 107
Iterations

Useful iterations: done (3.4s)

IterNodesCost
01161266
12491147
25911089
314141012
440771006
done5001967

prune372.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (+ z x))
0.6b
(cbrt (+ z x))
0.6b
(cbrt (+ z x))
0.6b
(cbrt (+ z x))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
16×cbrt-prod *-un-lft-identity
add-sqr-sqrt add-cube-cbrt cbrt-div
pow1 add-exp-log flip3-+ pow1/3 add-cbrt-cube flip-+ distribute-lft-out add-log-exp
Counts
4 → 56
Calls
4 calls:
8.0ms
(cbrt (+ z x))
8.0ms
(cbrt (+ z x))
8.0ms
(cbrt (+ z x))
16.0ms
(cbrt (+ z x))

series833.0ms

Counts
4 → 12
Calls
4 calls:
221.0ms
(cbrt (+ z x))
232.0ms
(cbrt (+ z x))
185.0ms
(cbrt (+ z x))
195.0ms
(cbrt (+ z x))

simplify5.2s

Counts
68 → 68
Iterations

Useful iterations: 3 (215.0ms)

IterNodesCost
057644
1128608
2263576
3576556
41508556
54768556
done5000556

prune316.0ms

Pruning

2 alts after pruning (0 fresh and 2 done)

Merged error: 0b

regimes1.0ms