Details

Time bar (total: 529.0ms)

sample17.0ms

Algorithm
intervals
Results
8.0ms256×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
01114
11613
22612
33112
done3112

prune6.0ms

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

rewrite7.0ms

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
pow1
expm1-log1p-u associate-/r* log1p-expm1-u associate-/l* add-log-exp
rem-sqrt-square div-inv
cbrt-undiv frac-2neg sqrt-pow1 pow1/2 sqrt-div div-exp clear-num fma-udef
Counts
3 → 66
Calls
3 calls:
0.0ms
(fma z z (fma x x (* y y)))
2.0ms
(/ (fma z z (fma x x (* y y))) 3.0)
3.0ms
(sqrt (/ (fma z z (fma x x (* y y))) 3.0))

series324.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(fma z z (fma x x (* y y)))
71.0ms
(/ (fma z z (fma x x (* y y))) 3.0)
201.0ms
(sqrt (/ (fma z z (fma x x (* y y))) 3.0))

simplify150.0ms

Iterations

Useful iterations: 2 (50.0ms)

IterNodesCost
01071274
11741215
24511106