Details

Time bar (total: 111.0ms)

sample38.0ms

Algorithm
intervals
Results
21.0ms268×body80valid

simplify5.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
11515
done1515

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(+ (* x.re y.re) (* x.im y.im))
27.4b
(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
times-frac
add-exp-log add-cbrt-cube add-log-exp
flip3-+ associate-/r* flip-+ associate-/l*
pow1 associate-/r/ associate-/l/
cbrt-undiv +-commutative frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 42
Calls
2 calls:
8.0ms
(+ (* x.re y.re) (* x.im y.im))
44.0ms
(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))

series2.0ms