Details

Time bar (total: 580.0ms)

sample28.0ms

Algorithm
intervals
Results
14.0ms256×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
011284
116259
226234
332234
done32234

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 40.6b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(fma z z (fma x x (* y y)))
0.1b
(/ (fma z z (fma x x (* y y))) 3.0)
37.7b
(sqrt (/ (fma z z (fma x x (* y y))) 3.0))

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
21×add-sqr-sqrt
19×times-frac
18×*-un-lft-identity add-cube-cbrt
13×sqrt-prod
add-cbrt-cube add-exp-log
pow1
expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
rem-sqrt-square div-inv
cbrt-undiv clear-num frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp fma-udef
Counts
3 → 66
Calls
3 calls:
0.0ms
(fma z z (fma x x (* y y)))
7.0ms
(/ (fma z z (fma x x (* y y))) 3.0)
4.0ms
(sqrt (/ (fma z z (fma x x (* y y))) 3.0))

series434.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(fma z z (fma x x (* y y)))
91.0ms
(/ (fma z z (fma x x (* y y))) 3.0)
256.0ms
(sqrt (/ (fma z z (fma x x (* y y))) 3.0))

simplify64.0ms

Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
010726978