Details

Time bar (total: 217.0ms)

sample32.0ms

Algorithm
intervals
Results
21.0ms256×body80valid

simplify12.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01114
11514
22214
32414
done2414

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 37.5b

localize12.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.1b
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
34.7b
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

rewrite157.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×sqrt-prod
add-exp-log add-cbrt-cube add-log-exp
pow1
associate-/r* associate-/l*
rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
cbrt-undiv +-commutative frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp clear-num sum-log
Counts
3 → 65
Calls
3 calls:
10.0ms
(+ (* x x) (* y y))
108.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
35.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

series1.0ms