Details

Time bar (total: 761.0ms)

sample25.0ms

Algorithm
intervals
Results
15.0ms256×body80valid

simplify11.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
01114
11613
22612
33112
done3112

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 35.6b

localize10.0ms

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))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
19×add-cube-cbrt *-un-lft-identity times-frac
13×sqrt-prod
add-log-exp
add-exp-log add-cbrt-cube
pow1
expm1-log1p-u fma-def associate-/r* sum-log log1p-expm1-u 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 → 76
Calls
3 calls:
14.0ms
(+ (+ (* x x) (* y y)) (* z z))
34.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
16.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

series282.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(+ (+ (* x x) (* y y)) (* z z))
56.0ms
(/ (+ (+ (* x x) (* y y)) (* z z)) 3.0)
181.0ms
(sqrt (/ (+ (+ (* x x) (* y y)) (* z z)) 3.0))

simplify359.0ms

Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
01291623
12731440
29581236