Details

Time bar (total: 4.1s)

sample36.0ms

Algorithm
intervals
Results
17.0ms337×body80valid

simplify51.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1157
2257
3337
4377
5437
done437

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
6.0ms
(+ x (* y (+ z x)))
35.0ms
(* y (+ z x))

series77.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(+ x (* y (+ z x)))
38.0ms
(* y (+ z x))

simplify1.9s

Counts
42 → 42
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
067376
1187348
2601318
32704318
done5000318

prune100.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
9×add-log-exp
4×sum-log
2×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
1×associate-+l+
Counts
2 → 24
Calls
2 calls:
6.0ms
(+ x (* z y))
30.0ms
(+ (+ x (* z y)) (* x y))

series75.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (* z y))
41.0ms
(+ (+ x (* z y)) (* x y))

simplify1.6s

Counts
30 → 30
Iterations

Useful iterations: 3 (648.0ms)

IterNodesCost
051347
1160291
2597273
32303269
done5001269

prune78.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

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

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×add-cbrt-cube add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 73
Calls
4 calls:
12.0ms
(* (cbrt y) (cbrt y))
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series0.0ms