Details

Time bar (total: 1.4s)

sample47.0ms

Algorithm
intervals
Results
10.0ms201×body80valid
9.0ms35×body640valid
9.0ms20×body1280valid
3.0ms17×body320valid
3.0ms79×body80nan
1.0msbody160valid

simplify928.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
01013
11813
22711
35411
411211
526111
663011
7199911
done500011

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.2b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (pow (/ y (+ z y)) y) y))
0.0b
(/ y (+ z y))
4.9b
(pow (/ y (+ z y)) y)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
24×times-frac
22×add-sqr-sqrt add-cube-cbrt
18×unpow-prod-down
add-exp-log distribute-lft-out
add-cbrt-cube add-log-exp
pow1 associate-/r* associate-/r/
expm1-log1p-u pow-unpow fma-def flip3-+ flip-+ log1p-expm1-u associate-/l*
div-exp pow-exp div-inv
cbrt-undiv +-commutative pow-to-exp pow-pow frac-2neg clear-num sum-log sqr-pow
Counts
3 → 87
Calls
3 calls:
50.0ms
(+ x (/ (pow (/ y (+ z y)) y) y))
6.0ms
(/ y (+ z y))
8.0ms
(pow (/ y (+ z y)) y)

series346.0ms

Counts
3 → 9
Calls
3 calls:
76.0ms
(+ x (/ (pow (/ y (+ z y)) y) y))
38.0ms
(/ y (+ z y))
231.0ms
(pow (/ y (+ z y)) y)

simplify35.0ms

Iterations

Useful iterations: 0 (4.0ms)

IterNodesCost
01641143