Details

Time bar (total: 777.0ms)

sample40.0ms

Algorithm
intervals
Results
20.0ms256×body80valid

simplify25.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
011284
115284
221284
322284
done22284

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.6b

localize29.0ms

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)
37.7b
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

rewrite209.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×times-frac
18×*-un-lft-identity add-cube-cbrt
13×sqrt-prod
add-log-exp
add-cbrt-cube add-exp-log
pow1
associate-/r* sum-log associate-/l*
rem-sqrt-square flip3-+ flip-+ div-inv associate-/l/
cbrt-undiv +-commutative associate-+l+ clear-num frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp
Counts
3 → 67
Calls
3 calls:
46.0ms
(+ (+ (* x x) (* y y)) (* z z))
119.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
41.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

series368.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(+ (+ (* x x) (* y y)) (* z z))
71.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
233.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

simplify96.0ms

Iterations

Useful iterations: 0 (15.0ms)

IterNodesCost
012331694