Details

Time bar (total: 4.4s)

sample30.0ms

Algorithm
intervals
Results
12.0ms256×body80valid
5.0ms256×pre80true

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0915
12215
24815
310115
418815
534615
657915
787515
8227115
done500015

prune6.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 20.6b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x x) (* y y))
0.2b
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
19.7b
(/ (+ x y) (+ (* x x) (* y y)))

rewrite119.0ms

Algorithm
rewrite-expression-head
Rules
37×*-un-lft-identity
28×add-sqr-sqrt
25×times-frac
21×add-cube-cbrt
18×associate-*r*
10×add-exp-log add-cbrt-cube
distribute-lft-out
pow1 associate-*l* add-log-exp
flip3-+ associate-/r/ flip-+ associate-/l*
associate-/r*
cbrt-undiv frac-times flip3-- div-exp associate-*l/ prod-exp flip-- cbrt-unprod div-inv associate-/l/ unswap-sqr
+-commutative frac-2neg associate-*r/ pow-prod-down clear-num sum-log *-commutative distribute-lft-out-- difference-of-squares
Counts
3 → 89
Calls
3 calls:
8.0ms
(+ (* x x) (* y y))
73.0ms
(* (- x y) (/ (+ x y) (+ (* x x) (* y y))))
32.0ms
(/ (+ x y) (+ (* x x) (* y y)))

series1.0ms