Details

Time bar (total: 162.0ms)

sample44.0ms

Algorithm
intervals
Results
24.0ms268×body80valid

simplify16.0ms

Counts
1 → 1
Iterations

Useful iterations: 1 (4.0ms)

IterNodesCost
01115
11713
22113
done2113

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 27.9b

localize23.0ms

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)))

rewrite67.0ms

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 expm1-log1p-u associate-/r/ log1p-expm1-u associate-/l/
cbrt-undiv +-commutative fma-def frac-2neg div-exp clear-num sum-log div-inv
Counts
2 → 47
Calls
2 calls:
8.0ms
(+ (* x.re y.re) (* x.im y.im))
58.0ms
(/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))

series0.0ms