Details

Time bar (total: 2.9s)

sample21.0ms

Algorithm
intervals
Results
10.0ms289×body80valid

simplify23.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1149
2219
3249
4259
done259

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (/ (* x y) 2.0) (/ z 8.0))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
3×*-un-lft-identity add-log-exp
2×difference-of-squares
1×pow1 add-exp-log add-cube-cbrt sub-neg flip3-- times-frac diff-log frac-sub add-cbrt-cube flip-- distribute-lft-out--
Counts
1 → 16
Calls
1 calls:
29.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

series91.0ms

Counts
1 → 3
Calls
1 calls:
91.0ms
(- (/ (* x y) 2.0) (/ z 8.0))

simplify2.5s

Counts
19 → 19
Iterations

Useful iterations: 3 (215.0ms)

IterNodesCost
049283
1116278
2305260
3858258
43040258
done5001258

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x y) 2.0) (/ z 8.0))
0.1b
(pow (- (/ (* x y) 2.0) (/ z 8.0)) 3)
38.5b
(cbrt (pow (- (/ (* x y) 2.0) (/ z 8.0)) 3))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
34×add-sqr-sqrt
19×*-un-lft-identity
18×cbrt-prod
12×unpow-prod-down cube-prod
10×difference-of-squares
9×add-cube-cbrt
6×cube-div
5×times-frac distribute-lft-out-- add-log-exp
4×pow1 add-exp-log add-cbrt-cube
3×pow-unpow cbrt-div flip3-- frac-sub flip--
2×cube-mult unpow3 sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 78
Calls
3 calls:
21.0ms
(- (/ (* x y) 2.0) (/ z 8.0))
40.0ms
(pow (- (/ (* x y) 2.0) (/ z 8.0)) 3)
33.0ms
(cbrt (pow (- (/ (* x y) 2.0) (/ z 8.0)) 3))

series58.0ms

Calls
1 calls:
54.0ms
(cbrt (pow (- (/ (* x y) 2.0) (/ z 8.0)) 3))