Details

Time bar (total: 680.0ms)

sample18.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify9.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01114
11514
22114
32214
done2214

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.6b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x x) (* y y)) (* z z))
0.1b
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
33.1b
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×times-frac
18×add-cube-cbrt *-un-lft-identity
13×sqrt-prod
add-log-exp
add-exp-log add-cbrt-cube
pow1
associate-/r* sum-log associate-/l*
rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
cbrt-undiv +-commutative associate-+l+ frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp clear-num
Counts
3 → 67
Calls
3 calls:
12.0ms
(+ (+ (* x x) (* y y)) (* z z))
32.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
14.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

series261.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ (+ (* x x) (* y y)) (* z z))
49.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
170.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

simplify321.0ms

Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
01231541
12601473
29301346