Details

Time bar (total: 3.4s)

sample23.0ms

Algorithm
intervals
Results
11.0ms319×body80valid

simplify138.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2427
3827
41107
51227
done1227

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (+ z 1.0))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×flip3-+ flip-+
5×add-sqr-sqrt
4×frac-times associate-*r* associate-*l*
3×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
2×associate-*r/ associate-*l/ distribute-lft-out
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
67.0ms
(* (+ x y) (+ z 1.0))

series56.0ms

Counts
1 → 3
Calls
1 calls:
56.0ms
(* (+ x y) (+ z 1.0))

simplify1.2s

Counts
33 → 33
Iterations

Useful iterations: 2 (176.0ms)

IterNodesCost
079415
1265396
21077368
done5000368

prune144.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* (+ x y) z) (* (+ x y) 1.0))
0.0b
(* (+ x y) z)

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*l/
6×add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
4×pow1 add-exp-log add-cube-cbrt associate-*l* frac-add add-cbrt-cube add-log-exp
3×associate-*r*
2×distribute-lft-out
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod unswap-sqr
Counts
2 → 37
Calls
2 calls:
30.0ms
(+ (* (+ x y) z) (* (+ x y) 1.0))
42.0ms
(* (+ x y) z)

series122.0ms

Counts
2 → 6
Calls
2 calls:
85.0ms
(+ (* (+ x y) z) (* (+ x y) 1.0))
37.0ms
(* (+ x y) z)

simplify1.3s

Counts
43 → 43
Iterations

Useful iterations: done (1.3s)

IterNodesCost
095631
1283533
21158485
done5001465

prune129.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0b

localize21.0ms

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))

rewrite72.0ms

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:
50.0ms
(* (cbrt (+ x y)) (cbrt (+ x y)))
4.0ms
(cbrt (+ x y))
5.0ms
(cbrt (+ x y))
8.0ms
(cbrt (+ x y))

series8.0ms