18.376 * [progress]: [Phase 1 of 3] Setting up.
0.001 * * * [progress]: [1/2] Preparing points
0.038 * * * [progress]: [2/2] Setting up program.
0.042 * [progress]: [Phase 2 of 3] Improving.
0.042 * [simplify]: Simplifying:
  (/ (- (* x.im y.re) (* x.re y.im)) (+ (* y.re y.re) (* y.im y.im)))
0.042 * * [simplify]: Extracting # 0 : cost  0
0.042 * * [simplify]: Extracting # 1 : cost  0
0.043 * * [simplify]: Extracting # 2 : cost  0
0.043 * * [simplify]: Extracting # 3 : cost  0
0.043 * * [simplify]: Extracting # 4 : cost  0
0.043 * * [simplify]: Extracting # 5 : cost  0
0.043 * * [simplify]: iteration  0 :  11  enodes  (cost  15 )
0.048 * * [simplify]: Extracting # 0 : cost  0
0.048 * * [simplify]: Extracting # 1 : cost  0
0.048 * * [simplify]: Extracting # 2 : cost  0
0.048 * * [simplify]: iteration  1 :  21  enodes  (cost  14 )
0.056 * * [simplify]: Extracting # 0 : cost  0
0.056 * * [simplify]: Extracting # 1 : cost  0
0.056 * * [simplify]: Extracting # 2 : cost  0
0.056 * * [simplify]: iteration  2 :  40  enodes  (cost  14 )
0.069 * * [simplify]: Extracting # 0 : cost  0
0.070 * * [simplify]: Extracting # 1 : cost  0
0.070 * * [simplify]: Extracting # 2 : cost  0
0.070 * * [simplify]: iteration  3 :  56  enodes  (cost  14 )
0.089 * * [simplify]: Extracting # 0 : cost  0
0.090 * * [simplify]: Extracting # 1 : cost  0
0.090 * * [simplify]: Extracting # 2 : cost  0
0.090 * * [simplify]: iteration  4 :  76  enodes  (cost  14 )
0.121 * * [simplify]: Extracting # 0 : cost  0
0.121 * * [simplify]: iteration  5 :  88  enodes  (cost  14 )
0.149 * * [simplify]: Extracting # 0 : cost  0
0.149 * * [simplify]: iteration  6 :  92  enodes  (cost  14 )
0.167 * * [simplify]: Extracting # 0 : cost  0
0.168 * * [simplify]: iteration done:  92  enodes  (cost  14 )
0.168 * [simplify]: Simplified to:
  (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im)))
0.171 * * [progress]: iteration 1 / 4
0.171 * * * [progress]: picking best candidate
0.173 * * * * [pick]: Picked  #<alt (λ (x.re x.im y.re y.im) (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))>
0.173 * * * [progress]: localizing error
0.195 * * * [progress]: generating rewritten candidates
0.195 * * * * [progress]: [ 1 / 3 ] rewriting at (2)
0.234 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1)
0.251 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
0.255 * * * [progress]: generating series expansions
0.255 * * * * [progress]: [ 1 / 3 ] generating series at (2)
0.255 * [backup-simplify]: Simplify (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))) into (/ (- (* y.re x.im) (* y.im x.re)) (fma y.re y.re (pow y.im 2)))
0.255 * [approximate]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (fma y.re y.re (pow y.im 2))) in (x.im y.re x.re y.im) around 0
0.255 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (fma y.re y.re (pow y.im 2))) in y.im
0.255 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.im
0.255 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
0.255 * [taylor]: Taking taylor expansion of y.re in y.im
0.255 * [backup-simplify]: Simplify y.re into y.re
0.255 * [taylor]: Taking taylor expansion of x.im in y.im
0.255 * [backup-simplify]: Simplify x.im into x.im
0.255 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
0.256 * [taylor]: Taking taylor expansion of y.im in y.im
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [taylor]: Taking taylor expansion of x.re in y.im
0.256 * [backup-simplify]: Simplify x.re into x.re
0.256 * [taylor]: Taking taylor expansion of (fma y.re y.re (pow y.im 2)) in y.im
0.256 * [taylor]: Rewrote expression to (+ (* y.re y.re) (pow y.im 2))
0.256 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.im
0.256 * [taylor]: Taking taylor expansion of y.re in y.im
0.256 * [backup-simplify]: Simplify y.re into y.re
0.256 * [taylor]: Taking taylor expansion of y.re in y.im
0.256 * [backup-simplify]: Simplify y.re into y.re
0.256 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
0.256 * [taylor]: Taking taylor expansion of y.im in y.im
0.256 * [backup-simplify]: Simplify 0 into 0
0.256 * [backup-simplify]: Simplify 1 into 1
0.256 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
0.256 * [backup-simplify]: Simplify (* 0 x.re) into 0
0.257 * [backup-simplify]: Simplify (- 0) into 0
0.257 * [backup-simplify]: Simplify (+ (* y.re x.im) 0) into (* y.re x.im)
0.257 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.257 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
0.258 * [backup-simplify]: Simplify (/ (* y.re x.im) (pow y.re 2)) into (/ x.im y.re)
0.258 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (fma y.re y.re (pow y.im 2))) in x.re
0.258 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.re
0.258 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
0.258 * [taylor]: Taking taylor expansion of y.re in x.re
0.258 * [backup-simplify]: Simplify y.re into y.re
0.258 * [taylor]: Taking taylor expansion of x.im in x.re
0.258 * [backup-simplify]: Simplify x.im into x.im
0.258 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
0.258 * [taylor]: Taking taylor expansion of y.im in x.re
0.258 * [backup-simplify]: Simplify y.im into y.im
0.258 * [taylor]: Taking taylor expansion of x.re in x.re
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.258 * [taylor]: Taking taylor expansion of (fma y.re y.re (pow y.im 2)) in x.re
0.258 * [taylor]: Rewrote expression to (+ (* y.re y.re) (pow y.im 2))
0.258 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.re
0.258 * [taylor]: Taking taylor expansion of y.re in x.re
0.258 * [backup-simplify]: Simplify y.re into y.re
0.258 * [taylor]: Taking taylor expansion of y.re in x.re
0.258 * [backup-simplify]: Simplify y.re into y.re
0.258 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
0.258 * [taylor]: Taking taylor expansion of y.im in x.re
0.258 * [backup-simplify]: Simplify y.im into y.im
0.258 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
0.259 * [backup-simplify]: Simplify (* y.im 0) into 0
0.259 * [backup-simplify]: Simplify (- 0) into 0
0.259 * [backup-simplify]: Simplify (+ (* y.re x.im) 0) into (* y.re x.im)
0.259 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.259 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.260 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
0.260 * [backup-simplify]: Simplify (/ (* y.re x.im) (+ (pow y.im 2) (pow y.re 2))) into (/ (* y.re x.im) (+ (pow y.re 2) (pow y.im 2)))
0.260 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (fma y.re y.re (pow y.im 2))) in y.re
0.260 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.re
0.260 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
0.260 * [taylor]: Taking taylor expansion of y.re in y.re
0.260 * [backup-simplify]: Simplify 0 into 0
0.260 * [backup-simplify]: Simplify 1 into 1
0.260 * [taylor]: Taking taylor expansion of x.im in y.re
0.260 * [backup-simplify]: Simplify x.im into x.im
0.260 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
0.260 * [taylor]: Taking taylor expansion of y.im in y.re
0.260 * [backup-simplify]: Simplify y.im into y.im
0.260 * [taylor]: Taking taylor expansion of x.re in y.re
0.260 * [backup-simplify]: Simplify x.re into x.re
0.260 * [taylor]: Taking taylor expansion of (fma y.re y.re (pow y.im 2)) in y.re
0.260 * [taylor]: Rewrote expression to (+ (* y.re y.re) (pow y.im 2))
0.261 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
0.261 * [taylor]: Taking taylor expansion of y.re in y.re
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [taylor]: Taking taylor expansion of y.re in y.re
0.261 * [backup-simplify]: Simplify 0 into 0
0.261 * [backup-simplify]: Simplify 1 into 1
0.261 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.261 * [taylor]: Taking taylor expansion of y.im in y.re
0.261 * [backup-simplify]: Simplify y.im into y.im
0.261 * [backup-simplify]: Simplify (* 0 x.im) into 0
0.261 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.261 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
0.261 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
0.262 * [backup-simplify]: Simplify (* 0 0) into 0
0.262 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.262 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
0.262 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) (pow y.im 2)) into (* -1 (/ x.re y.im))
0.262 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (fma y.re y.re (pow y.im 2))) in x.im
0.262 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
0.262 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
0.262 * [taylor]: Taking taylor expansion of y.re in x.im
0.262 * [backup-simplify]: Simplify y.re into y.re
0.262 * [taylor]: Taking taylor expansion of x.im in x.im
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
0.262 * [taylor]: Taking taylor expansion of y.im in x.im
0.263 * [backup-simplify]: Simplify y.im into y.im
0.263 * [taylor]: Taking taylor expansion of x.re in x.im
0.263 * [backup-simplify]: Simplify x.re into x.re
0.263 * [taylor]: Taking taylor expansion of (fma y.re y.re (pow y.im 2)) in x.im
0.263 * [taylor]: Rewrote expression to (+ (* y.re y.re) (pow y.im 2))
0.263 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
0.263 * [taylor]: Taking taylor expansion of y.re in x.im
0.263 * [backup-simplify]: Simplify y.re into y.re
0.263 * [taylor]: Taking taylor expansion of y.re in x.im
0.263 * [backup-simplify]: Simplify y.re into y.re
0.263 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
0.263 * [taylor]: Taking taylor expansion of y.im in x.im
0.263 * [backup-simplify]: Simplify y.im into y.im
0.263 * [backup-simplify]: Simplify (* y.re 0) into 0
0.263 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.263 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
0.263 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
0.263 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.263 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.264 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
0.264 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) (+ (pow y.im 2) (pow y.re 2))) into (* -1 (/ (* y.im x.re) (+ (pow y.re 2) (pow y.im 2))))
0.264 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (fma y.re y.re (pow y.im 2))) in x.im
0.264 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
0.264 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
0.264 * [taylor]: Taking taylor expansion of y.re in x.im
0.264 * [backup-simplify]: Simplify y.re into y.re
0.264 * [taylor]: Taking taylor expansion of x.im in x.im
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
0.264 * [taylor]: Taking taylor expansion of y.im in x.im
0.264 * [backup-simplify]: Simplify y.im into y.im
0.264 * [taylor]: Taking taylor expansion of x.re in x.im
0.265 * [backup-simplify]: Simplify x.re into x.re
0.265 * [taylor]: Taking taylor expansion of (fma y.re y.re (pow y.im 2)) in x.im
0.265 * [taylor]: Rewrote expression to (+ (* y.re y.re) (pow y.im 2))
0.265 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
0.265 * [taylor]: Taking taylor expansion of y.re in x.im
0.265 * [backup-simplify]: Simplify y.re into y.re
0.265 * [taylor]: Taking taylor expansion of y.re in x.im
0.265 * [backup-simplify]: Simplify y.re into y.re
0.265 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
0.265 * [taylor]: Taking taylor expansion of y.im in x.im
0.265 * [backup-simplify]: Simplify y.im into y.im
0.265 * [backup-simplify]: Simplify (* y.re 0) into 0
0.265 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.265 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
0.265 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
0.265 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.265 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.266 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
0.266 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) (+ (pow y.im 2) (pow y.re 2))) into (* -1 (/ (* y.im x.re) (+ (pow y.re 2) (pow y.im 2))))
0.266 * [taylor]: Taking taylor expansion of (* -1 (/ (* y.im x.re) (+ (pow y.re 2) (pow y.im 2)))) in y.re
0.266 * [taylor]: Taking taylor expansion of -1 in y.re
0.266 * [backup-simplify]: Simplify -1 into -1
0.266 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (+ (pow y.re 2) (pow y.im 2))) in y.re
0.266 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
0.266 * [taylor]: Taking taylor expansion of y.im in y.re
0.266 * [backup-simplify]: Simplify y.im into y.im
0.266 * [taylor]: Taking taylor expansion of x.re in y.re
0.266 * [backup-simplify]: Simplify x.re into x.re
0.266 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
0.267 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.267 * [taylor]: Taking taylor expansion of y.re in y.re
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.267 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.267 * [taylor]: Taking taylor expansion of y.im in y.re
0.267 * [backup-simplify]: Simplify y.im into y.im
0.267 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.267 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.267 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
0.267 * [backup-simplify]: Simplify (/ (* y.im x.re) (pow y.im 2)) into (/ x.re y.im)
0.267 * [backup-simplify]: Simplify (* -1 (/ x.re y.im)) into (* -1 (/ x.re y.im))
0.267 * [taylor]: Taking taylor expansion of (* -1 (/ x.re y.im)) in x.re
0.267 * [taylor]: Taking taylor expansion of -1 in x.re
0.267 * [backup-simplify]: Simplify -1 into -1
0.267 * [taylor]: Taking taylor expansion of (/ x.re y.im) in x.re
0.267 * [taylor]: Taking taylor expansion of x.re in x.re
0.267 * [backup-simplify]: Simplify 0 into 0
0.267 * [backup-simplify]: Simplify 1 into 1
0.268 * [taylor]: Taking taylor expansion of y.im in x.re
0.268 * [backup-simplify]: Simplify y.im into y.im
0.268 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.268 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.268 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
0.269 * [backup-simplify]: Simplify (- 0) into 0
0.269 * [backup-simplify]: Simplify (+ y.re 0) into y.re
0.269 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
0.269 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.269 * [backup-simplify]: Simplify (+ 0 0) into 0
0.270 * [backup-simplify]: Simplify (- (/ y.re (+ (pow y.im 2) (pow y.re 2))) (+ (* (* -1 (/ (* y.im x.re) (+ (pow y.re 2) (pow y.im 2)))) (/ 0 (+ (pow y.im 2) (pow y.re 2)))))) into (/ y.re (+ (pow y.re 2) (pow y.im 2)))
0.271 * [taylor]: Taking taylor expansion of (/ y.re (+ (pow y.re 2) (pow y.im 2))) in y.re
0.271 * [taylor]: Taking taylor expansion of y.re in y.re
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
0.271 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.271 * [taylor]: Taking taylor expansion of y.re in y.re
0.271 * [backup-simplify]: Simplify 0 into 0
0.271 * [backup-simplify]: Simplify 1 into 1
0.271 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.271 * [taylor]: Taking taylor expansion of y.im in y.re
0.271 * [backup-simplify]: Simplify y.im into y.im
0.271 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.271 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
0.271 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.271 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
0.271 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.272 * [backup-simplify]: Simplify (+ 0 0) into 0
0.272 * [backup-simplify]: Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.re y.im) (/ 0 (pow y.im 2))))) into 0
0.273 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ x.re y.im))) into 0
0.273 * [taylor]: Taking taylor expansion of 0 in x.re
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [taylor]: Taking taylor expansion of 0 in y.im
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify (* -1 (/ 1 y.im)) into (/ -1 y.im)
0.273 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
0.273 * [taylor]: Taking taylor expansion of -1 in y.im
0.273 * [backup-simplify]: Simplify -1 into -1
0.273 * [taylor]: Taking taylor expansion of y.im in y.im
0.273 * [backup-simplify]: Simplify 0 into 0
0.273 * [backup-simplify]: Simplify 1 into 1
0.274 * [backup-simplify]: Simplify (/ -1 1) into -1
0.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify 0 into 0
0.275 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
0.275 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
0.275 * [backup-simplify]: Simplify (- 0) into 0
0.275 * [backup-simplify]: Simplify (+ 0 0) into 0
0.276 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
0.276 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.276 * [backup-simplify]: Simplify (+ 0 0) into 0
0.277 * [backup-simplify]: Simplify (- (/ 0 (+ (pow y.im 2) (pow y.re 2))) (+ (* (* -1 (/ (* y.im x.re) (+ (pow y.re 2) (pow y.im 2)))) (/ 0 (+ (pow y.im 2) (pow y.re 2)))) (* (/ y.re (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.im 2) (pow y.re 2)))))) into 0
0.277 * [taylor]: Taking taylor expansion of 0 in y.re
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [taylor]: Taking taylor expansion of 0 in x.re
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [taylor]: Taking taylor expansion of 0 in y.im
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
0.277 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
0.277 * [taylor]: Taking taylor expansion of y.im in x.re
0.277 * [backup-simplify]: Simplify y.im into y.im
0.277 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.277 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
0.277 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
0.277 * [taylor]: Taking taylor expansion of y.im in y.im
0.277 * [backup-simplify]: Simplify 0 into 0
0.277 * [backup-simplify]: Simplify 1 into 1
0.278 * [backup-simplify]: Simplify (* 1 1) into 1
0.278 * [backup-simplify]: Simplify (/ 1 1) into 1
0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.287 * [backup-simplify]: Simplify 0 into 0
0.287 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
0.287 * [backup-simplify]: Simplify (* 1 1) into 1
0.287 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.288 * [backup-simplify]: Simplify (+ 1 0) into 1
0.288 * [backup-simplify]: Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.re y.im) (/ 1 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into (- (/ x.re (pow y.im 3)))
0.289 * [backup-simplify]: Simplify (+ (* -1 (- (/ x.re (pow y.im 3)))) (+ (* 0 0) (* 0 (/ x.re y.im)))) into (/ x.re (pow y.im 3))
0.289 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 3)) in x.re
0.289 * [taylor]: Taking taylor expansion of x.re in x.re
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 1 into 1
0.289 * [taylor]: Taking taylor expansion of (pow y.im 3) in x.re
0.289 * [taylor]: Taking taylor expansion of y.im in x.re
0.289 * [backup-simplify]: Simplify y.im into y.im
0.289 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.289 * [backup-simplify]: Simplify (* y.im (pow y.im 2)) into (pow y.im 3)
0.289 * [backup-simplify]: Simplify (/ 1 (pow y.im 3)) into (/ 1 (pow y.im 3))
0.289 * [taylor]: Taking taylor expansion of 0 in y.im
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify 0 into 0
0.289 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
0.290 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 y.im))) into 0
0.290 * [taylor]: Taking taylor expansion of 0 in y.im
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify (/ (- (* (/ 1 x.im) (/ 1 y.re)) (* (/ 1 x.re) (/ 1 y.im))) (fma (/ 1 y.re) (/ 1 y.re) (* (/ 1 y.im) (/ 1 y.im)))) into (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2))))
0.290 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2)))) in (x.im y.re x.re y.im) around 0
0.290 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2)))) in y.im
0.290 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
0.290 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
0.290 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
0.290 * [taylor]: Taking taylor expansion of y.re in y.im
0.290 * [backup-simplify]: Simplify y.re into y.re
0.290 * [taylor]: Taking taylor expansion of x.im in y.im
0.290 * [backup-simplify]: Simplify x.im into x.im
0.290 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
0.290 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
0.290 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
0.290 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
0.290 * [taylor]: Taking taylor expansion of y.im in y.im
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [backup-simplify]: Simplify 1 into 1
0.290 * [taylor]: Taking taylor expansion of x.re in y.im
0.290 * [backup-simplify]: Simplify x.re into x.re
0.290 * [backup-simplify]: Simplify (* 0 x.re) into 0
0.291 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
0.291 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
0.291 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2))) in y.im
0.291 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 y.re)) (/ 1 (pow y.im 2)))
0.291 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
0.291 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
0.291 * [taylor]: Taking taylor expansion of y.re in y.im
0.291 * [backup-simplify]: Simplify y.re into y.re
0.291 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.291 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
0.291 * [taylor]: Taking taylor expansion of y.re in y.im
0.291 * [backup-simplify]: Simplify y.re into y.re
0.291 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.291 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
0.291 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
0.291 * [taylor]: Taking taylor expansion of y.im in y.im
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.292 * [backup-simplify]: Simplify (* 1 1) into 1
0.292 * [backup-simplify]: Simplify (/ 1 1) into 1
0.292 * [backup-simplify]: Simplify (- (/ 1 x.re)) into (- (/ 1 x.re))
0.292 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x.re))) into (- (/ 1 x.re))
0.292 * [backup-simplify]: Simplify (+ 0 1) into 1
0.292 * [backup-simplify]: Simplify (/ (- (/ 1 x.re)) 1) into (/ -1 x.re)
0.292 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2)))) in x.re
0.292 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
0.292 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
0.292 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
0.292 * [taylor]: Taking taylor expansion of y.re in x.re
0.292 * [backup-simplify]: Simplify y.re into y.re
0.292 * [taylor]: Taking taylor expansion of x.im in x.re
0.292 * [backup-simplify]: Simplify x.im into x.im
0.292 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
0.292 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
0.293 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
0.293 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
0.293 * [taylor]: Taking taylor expansion of y.im in x.re
0.293 * [backup-simplify]: Simplify y.im into y.im
0.293 * [taylor]: Taking taylor expansion of x.re in x.re
0.293 * [backup-simplify]: Simplify 0 into 0
0.293 * [backup-simplify]: Simplify 1 into 1
0.293 * [backup-simplify]: Simplify (* y.im 0) into 0
0.293 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.293 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.293 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2))) in x.re
0.293 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 y.re)) (/ 1 (pow y.im 2)))
0.293 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
0.293 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
0.293 * [taylor]: Taking taylor expansion of y.re in x.re
0.293 * [backup-simplify]: Simplify y.re into y.re
0.293 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.293 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
0.293 * [taylor]: Taking taylor expansion of y.re in x.re
0.293 * [backup-simplify]: Simplify y.re into y.re
0.293 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
0.293 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
0.293 * [taylor]: Taking taylor expansion of y.im in x.re
0.293 * [backup-simplify]: Simplify y.im into y.im
0.293 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.293 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.294 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
0.294 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y.im))) into (- (/ 1 y.im))
0.294 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
0.294 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
0.294 * [backup-simplify]: Simplify (/ (- (/ 1 y.im)) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ -1 (* y.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))
0.294 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2)))) in y.re
0.294 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
0.294 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
0.294 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
0.294 * [taylor]: Taking taylor expansion of y.re in y.re
0.294 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify 1 into 1
0.294 * [taylor]: Taking taylor expansion of x.im in y.re
0.294 * [backup-simplify]: Simplify x.im into x.im
0.294 * [backup-simplify]: Simplify (* 0 x.im) into 0
0.295 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
0.295 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
0.295 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
0.295 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
0.295 * [taylor]: Taking taylor expansion of y.im in y.re
0.295 * [backup-simplify]: Simplify y.im into y.im
0.295 * [taylor]: Taking taylor expansion of x.re in y.re
0.295 * [backup-simplify]: Simplify x.re into x.re
0.295 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.295 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.295 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2))) in y.re
0.295 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 y.re)) (/ 1 (pow y.im 2)))
0.295 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
0.295 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
0.295 * [taylor]: Taking taylor expansion of y.re in y.re
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.295 * [backup-simplify]: Simplify (/ 1 1) into 1
0.295 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
0.295 * [taylor]: Taking taylor expansion of y.re in y.re
0.295 * [backup-simplify]: Simplify 0 into 0
0.295 * [backup-simplify]: Simplify 1 into 1
0.296 * [backup-simplify]: Simplify (/ 1 1) into 1
0.296 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.296 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.296 * [taylor]: Taking taylor expansion of y.im in y.re
0.296 * [backup-simplify]: Simplify y.im into y.im
0.296 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.296 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.296 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
0.296 * [backup-simplify]: Simplify (* 1 1) into 1
0.296 * [backup-simplify]: Simplify (+ 1 0) into 1
0.296 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
0.296 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2)))) in x.im
0.296 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
0.296 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
0.296 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
0.296 * [taylor]: Taking taylor expansion of y.re in x.im
0.296 * [backup-simplify]: Simplify y.re into y.re
0.297 * [taylor]: Taking taylor expansion of x.im in x.im
0.297 * [backup-simplify]: Simplify 0 into 0
0.297 * [backup-simplify]: Simplify 1 into 1
0.297 * [backup-simplify]: Simplify (* y.re 0) into 0
0.297 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.297 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.297 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
0.297 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
0.297 * [taylor]: Taking taylor expansion of y.im in x.im
0.297 * [backup-simplify]: Simplify y.im into y.im
0.297 * [taylor]: Taking taylor expansion of x.re in x.im
0.297 * [backup-simplify]: Simplify x.re into x.re
0.297 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.297 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.297 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2))) in x.im
0.297 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 y.re)) (/ 1 (pow y.im 2)))
0.297 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
0.297 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
0.297 * [taylor]: Taking taylor expansion of y.re in x.im
0.297 * [backup-simplify]: Simplify y.re into y.re
0.297 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.297 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
0.297 * [taylor]: Taking taylor expansion of y.re in x.im
0.297 * [backup-simplify]: Simplify y.re into y.re
0.297 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.297 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
0.297 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
0.297 * [taylor]: Taking taylor expansion of y.im in x.im
0.297 * [backup-simplify]: Simplify y.im into y.im
0.297 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.298 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.298 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
0.298 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
0.298 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
0.298 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re))
0.298 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2)))) in x.im
0.298 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
0.298 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
0.298 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
0.298 * [taylor]: Taking taylor expansion of y.re in x.im
0.298 * [backup-simplify]: Simplify y.re into y.re
0.298 * [taylor]: Taking taylor expansion of x.im in x.im
0.298 * [backup-simplify]: Simplify 0 into 0
0.298 * [backup-simplify]: Simplify 1 into 1
0.298 * [backup-simplify]: Simplify (* y.re 0) into 0
0.299 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.299 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.299 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
0.299 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
0.299 * [taylor]: Taking taylor expansion of y.im in x.im
0.299 * [backup-simplify]: Simplify y.im into y.im
0.299 * [taylor]: Taking taylor expansion of x.re in x.im
0.299 * [backup-simplify]: Simplify x.re into x.re
0.299 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.299 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.299 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2))) in x.im
0.299 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 y.re)) (/ 1 (pow y.im 2)))
0.299 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
0.299 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
0.299 * [taylor]: Taking taylor expansion of y.re in x.im
0.299 * [backup-simplify]: Simplify y.re into y.re
0.299 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.299 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
0.299 * [taylor]: Taking taylor expansion of y.re in x.im
0.299 * [backup-simplify]: Simplify y.re into y.re
0.299 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
0.299 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
0.299 * [taylor]: Taking taylor expansion of y.im in x.im
0.299 * [backup-simplify]: Simplify y.im into y.im
0.299 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.299 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.299 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
0.299 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
0.300 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
0.300 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re))
0.300 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) in y.re
0.300 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re) in y.re
0.300 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.300 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.300 * [taylor]: Taking taylor expansion of y.im in y.re
0.300 * [backup-simplify]: Simplify y.im into y.im
0.300 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.300 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.300 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
0.300 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.300 * [taylor]: Taking taylor expansion of y.re in y.re
0.300 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify 1 into 1
0.300 * [backup-simplify]: Simplify (* 1 1) into 1
0.301 * [backup-simplify]: Simplify (/ 1 1) into 1
0.301 * [taylor]: Taking taylor expansion of y.re in y.re
0.301 * [backup-simplify]: Simplify 0 into 0
0.301 * [backup-simplify]: Simplify 1 into 1
0.301 * [backup-simplify]: Simplify (+ 0 1) into 1
0.301 * [backup-simplify]: Simplify (* 1 0) into 0
0.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.303 * [backup-simplify]: Simplify (+ 0 0) into 0
0.304 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
0.304 * [backup-simplify]: Simplify (/ 1 1) into 1
0.304 * [taylor]: Taking taylor expansion of 1 in x.re
0.304 * [backup-simplify]: Simplify 1 into 1
0.305 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
0.305 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
0.305 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
0.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
0.306 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
0.306 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
0.306 * [backup-simplify]: Simplify (+ 0 0) into 0
0.308 * [backup-simplify]: Simplify (- (/ (- (/ 1 (* y.im x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))
0.308 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) in y.re
0.308 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re
0.308 * [taylor]: Taking taylor expansion of (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re
0.308 * [taylor]: Taking taylor expansion of y.im in y.re
0.308 * [backup-simplify]: Simplify y.im into y.im
0.308 * [taylor]: Taking taylor expansion of (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re
0.308 * [taylor]: Taking taylor expansion of x.re in y.re
0.308 * [backup-simplify]: Simplify x.re into x.re
0.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.308 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.308 * [taylor]: Taking taylor expansion of y.im in y.re
0.308 * [backup-simplify]: Simplify y.im into y.im
0.308 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.308 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
0.308 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.308 * [taylor]: Taking taylor expansion of y.re in y.re
0.308 * [backup-simplify]: Simplify 0 into 0
0.308 * [backup-simplify]: Simplify 1 into 1
0.309 * [backup-simplify]: Simplify (* 1 1) into 1
0.309 * [backup-simplify]: Simplify (/ 1 1) into 1
0.309 * [backup-simplify]: Simplify (+ 0 1) into 1
0.309 * [backup-simplify]: Simplify (* x.re 1) into x.re
0.310 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.310 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.310 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2))
0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow y.im 2)) 0))) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.313 * [taylor]: Taking taylor expansion of 0 in x.re
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [taylor]: Taking taylor expansion of 1 in y.im
0.314 * [backup-simplify]: Simplify 1 into 1
0.314 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.315 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
0.315 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
0.315 * [backup-simplify]: Simplify (- 0) into 0
0.316 * [backup-simplify]: Simplify (+ 0 0) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.316 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
0.317 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.317 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
0.318 * [backup-simplify]: Simplify (+ 0 0) into 0
0.320 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0
0.320 * [taylor]: Taking taylor expansion of 0 in y.re
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [taylor]: Taking taylor expansion of 0 in x.re
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
0.320 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in x.re
0.320 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
0.320 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
0.320 * [taylor]: Taking taylor expansion of y.im in x.re
0.320 * [backup-simplify]: Simplify y.im into y.im
0.320 * [taylor]: Taking taylor expansion of x.re in x.re
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 1 into 1
0.320 * [backup-simplify]: Simplify (* y.im 0) into 0
0.321 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.321 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.321 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
0.321 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im
0.321 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
0.321 * [taylor]: Taking taylor expansion of y.im in y.im
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (/ 1 1) into 1
0.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.324 * [backup-simplify]: Simplify (- 0) into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
0.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.327 * [backup-simplify]: Simplify (+ 0 0) into 0
0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 1) (* 0 0)))) into (/ 1 (pow y.im 2))
0.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
0.330 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.re
0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
0.330 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
0.330 * [taylor]: Taking taylor expansion of y.im in x.re
0.330 * [backup-simplify]: Simplify y.im into y.im
0.330 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.330 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.330 * [taylor]: Taking taylor expansion of 0 in y.im
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [taylor]: Taking taylor expansion of 0 in y.im
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.332 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
0.332 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
0.333 * [backup-simplify]: Simplify (- 0) into 0
0.333 * [backup-simplify]: Simplify (+ 0 0) into 0
0.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.334 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.re))))) into 0
0.335 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
0.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
0.336 * [backup-simplify]: Simplify (+ 0 0) into 0
0.339 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0
0.339 * [taylor]: Taking taylor expansion of 0 in y.re
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [taylor]: Taking taylor expansion of 0 in x.re
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [taylor]: Taking taylor expansion of 0 in x.re
0.339 * [backup-simplify]: Simplify 0 into 0
0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.341 * [backup-simplify]: Simplify (+ 0 0) into 0
0.341 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 1)) into 0
0.341 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
0.342 * [backup-simplify]: Simplify (- 0) into 0
0.342 * [taylor]: Taking taylor expansion of 0 in x.re
0.342 * [backup-simplify]: Simplify 0 into 0
0.342 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
0.344 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.346 * [backup-simplify]: Simplify (+ 0 0) into 0
0.347 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
0.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
0.348 * [taylor]: Taking taylor expansion of 0 in x.re
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [taylor]: Taking taylor expansion of 0 in y.im
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify 0 into 0
0.349 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x.im)) (/ 1 (- y.re))) (* (/ 1 (- x.re)) (/ 1 (- y.im)))) (fma (/ 1 (- y.re)) (/ 1 (- y.re)) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2))))
0.349 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2)))) in (x.im y.re x.re y.im) around 0
0.349 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2)))) in y.im
0.349 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
0.350 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
0.350 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
0.350 * [taylor]: Taking taylor expansion of y.re in y.im
0.350 * [backup-simplify]: Simplify y.re into y.re
0.350 * [taylor]: Taking taylor expansion of x.im in y.im
0.350 * [backup-simplify]: Simplify x.im into x.im
0.350 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
0.350 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
0.350 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
0.350 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
0.350 * [taylor]: Taking taylor expansion of y.im in y.im
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [backup-simplify]: Simplify 1 into 1
0.350 * [taylor]: Taking taylor expansion of x.re in y.im
0.350 * [backup-simplify]: Simplify x.re into x.re
0.350 * [backup-simplify]: Simplify (* 0 x.re) into 0
0.351 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
0.351 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
0.351 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2))) in y.im
0.351 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 y.re)) (/ 1 (pow y.im 2)))
0.351 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.im
0.351 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
0.351 * [taylor]: Taking taylor expansion of -1 in y.im
0.351 * [backup-simplify]: Simplify -1 into -1
0.351 * [taylor]: Taking taylor expansion of y.re in y.im
0.351 * [backup-simplify]: Simplify y.re into y.re
0.351 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
0.351 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
0.351 * [taylor]: Taking taylor expansion of -1 in y.im
0.351 * [backup-simplify]: Simplify -1 into -1
0.351 * [taylor]: Taking taylor expansion of y.re in y.im
0.351 * [backup-simplify]: Simplify y.re into y.re
0.351 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
0.351 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
0.351 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
0.351 * [taylor]: Taking taylor expansion of y.im in y.im
0.351 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify 1 into 1
0.352 * [backup-simplify]: Simplify (* 1 1) into 1
0.352 * [backup-simplify]: Simplify (/ 1 1) into 1
0.352 * [backup-simplify]: Simplify (- (/ 1 x.re)) into (- (/ 1 x.re))
0.352 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x.re))) into (- (/ 1 x.re))
0.353 * [backup-simplify]: Simplify (+ 0 1) into 1
0.353 * [backup-simplify]: Simplify (/ (- (/ 1 x.re)) 1) into (/ -1 x.re)
0.353 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2)))) in x.re
0.353 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
0.353 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
0.353 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
0.353 * [taylor]: Taking taylor expansion of y.re in x.re
0.353 * [backup-simplify]: Simplify y.re into y.re
0.353 * [taylor]: Taking taylor expansion of x.im in x.re
0.353 * [backup-simplify]: Simplify x.im into x.im
0.353 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
0.353 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
0.354 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
0.354 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
0.354 * [taylor]: Taking taylor expansion of y.im in x.re
0.354 * [backup-simplify]: Simplify y.im into y.im
0.354 * [taylor]: Taking taylor expansion of x.re in x.re
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 1 into 1
0.354 * [backup-simplify]: Simplify (* y.im 0) into 0
0.354 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.354 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.354 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2))) in x.re
0.355 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 y.re)) (/ 1 (pow y.im 2)))
0.355 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.re
0.355 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
0.355 * [taylor]: Taking taylor expansion of -1 in x.re
0.355 * [backup-simplify]: Simplify -1 into -1
0.355 * [taylor]: Taking taylor expansion of y.re in x.re
0.355 * [backup-simplify]: Simplify y.re into y.re
0.355 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
0.355 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
0.355 * [taylor]: Taking taylor expansion of -1 in x.re
0.355 * [backup-simplify]: Simplify -1 into -1
0.355 * [taylor]: Taking taylor expansion of y.re in x.re
0.355 * [backup-simplify]: Simplify y.re into y.re
0.355 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
0.355 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
0.355 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
0.355 * [taylor]: Taking taylor expansion of y.im in x.re
0.355 * [backup-simplify]: Simplify y.im into y.im
0.355 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.355 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.355 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
0.356 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y.im))) into (- (/ 1 y.im))
0.356 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
0.356 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
0.356 * [backup-simplify]: Simplify (/ (- (/ 1 y.im)) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ -1 (* y.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))
0.356 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2)))) in y.re
0.357 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
0.357 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
0.357 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
0.357 * [taylor]: Taking taylor expansion of y.re in y.re
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.357 * [taylor]: Taking taylor expansion of x.im in y.re
0.357 * [backup-simplify]: Simplify x.im into x.im
0.357 * [backup-simplify]: Simplify (* 0 x.im) into 0
0.358 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
0.358 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
0.358 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
0.358 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
0.358 * [taylor]: Taking taylor expansion of y.im in y.re
0.358 * [backup-simplify]: Simplify y.im into y.im
0.358 * [taylor]: Taking taylor expansion of x.re in y.re
0.358 * [backup-simplify]: Simplify x.re into x.re
0.358 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.358 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.358 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2))) in y.re
0.359 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 y.re)) (/ 1 (pow y.im 2)))
0.359 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
0.359 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
0.359 * [taylor]: Taking taylor expansion of -1 in y.re
0.359 * [backup-simplify]: Simplify -1 into -1
0.359 * [taylor]: Taking taylor expansion of y.re in y.re
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.359 * [backup-simplify]: Simplify (/ -1 1) into -1
0.359 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
0.359 * [taylor]: Taking taylor expansion of -1 in y.re
0.359 * [backup-simplify]: Simplify -1 into -1
0.359 * [taylor]: Taking taylor expansion of y.re in y.re
0.359 * [backup-simplify]: Simplify 0 into 0
0.359 * [backup-simplify]: Simplify 1 into 1
0.360 * [backup-simplify]: Simplify (/ -1 1) into -1
0.360 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.360 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.360 * [taylor]: Taking taylor expansion of y.im in y.re
0.360 * [backup-simplify]: Simplify y.im into y.im
0.360 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.360 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.360 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
0.361 * [backup-simplify]: Simplify (* -1 -1) into 1
0.361 * [backup-simplify]: Simplify (+ 1 0) into 1
0.361 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
0.361 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2)))) in x.im
0.362 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
0.362 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
0.362 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
0.362 * [taylor]: Taking taylor expansion of y.re in x.im
0.362 * [backup-simplify]: Simplify y.re into y.re
0.362 * [taylor]: Taking taylor expansion of x.im in x.im
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.362 * [backup-simplify]: Simplify (* y.re 0) into 0
0.362 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.362 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.362 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
0.362 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
0.362 * [taylor]: Taking taylor expansion of y.im in x.im
0.362 * [backup-simplify]: Simplify y.im into y.im
0.362 * [taylor]: Taking taylor expansion of x.re in x.im
0.362 * [backup-simplify]: Simplify x.re into x.re
0.362 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.363 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.363 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2))) in x.im
0.363 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 y.re)) (/ 1 (pow y.im 2)))
0.363 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
0.363 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
0.363 * [taylor]: Taking taylor expansion of -1 in x.im
0.363 * [backup-simplify]: Simplify -1 into -1
0.363 * [taylor]: Taking taylor expansion of y.re in x.im
0.363 * [backup-simplify]: Simplify y.re into y.re
0.363 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
0.363 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
0.363 * [taylor]: Taking taylor expansion of -1 in x.im
0.363 * [backup-simplify]: Simplify -1 into -1
0.363 * [taylor]: Taking taylor expansion of y.re in x.im
0.363 * [backup-simplify]: Simplify y.re into y.re
0.363 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
0.363 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
0.363 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
0.363 * [taylor]: Taking taylor expansion of y.im in x.im
0.363 * [backup-simplify]: Simplify y.im into y.im
0.363 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.364 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.364 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
0.364 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
0.364 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
0.365 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re))
0.365 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2)))) in x.im
0.365 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
0.365 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
0.365 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
0.365 * [taylor]: Taking taylor expansion of y.re in x.im
0.365 * [backup-simplify]: Simplify y.re into y.re
0.365 * [taylor]: Taking taylor expansion of x.im in x.im
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [backup-simplify]: Simplify 1 into 1
0.365 * [backup-simplify]: Simplify (* y.re 0) into 0
0.365 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.365 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.365 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
0.365 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
0.366 * [taylor]: Taking taylor expansion of y.im in x.im
0.366 * [backup-simplify]: Simplify y.im into y.im
0.366 * [taylor]: Taking taylor expansion of x.re in x.im
0.366 * [backup-simplify]: Simplify x.re into x.re
0.366 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.366 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.366 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2))) in x.im
0.366 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 y.re)) (/ 1 (pow y.im 2)))
0.366 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
0.366 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
0.366 * [taylor]: Taking taylor expansion of -1 in x.im
0.366 * [backup-simplify]: Simplify -1 into -1
0.366 * [taylor]: Taking taylor expansion of y.re in x.im
0.366 * [backup-simplify]: Simplify y.re into y.re
0.366 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
0.366 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
0.366 * [taylor]: Taking taylor expansion of -1 in x.im
0.366 * [backup-simplify]: Simplify -1 into -1
0.366 * [taylor]: Taking taylor expansion of y.re in x.im
0.366 * [backup-simplify]: Simplify y.re into y.re
0.366 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
0.366 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
0.366 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
0.367 * [taylor]: Taking taylor expansion of y.im in x.im
0.367 * [backup-simplify]: Simplify y.im into y.im
0.367 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.367 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.367 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
0.367 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
0.367 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
0.368 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re))
0.368 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) in y.re
0.368 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re) in y.re
0.368 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.368 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.368 * [taylor]: Taking taylor expansion of y.im in y.re
0.368 * [backup-simplify]: Simplify y.im into y.im
0.368 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.368 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.368 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
0.368 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.368 * [taylor]: Taking taylor expansion of y.re in y.re
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 1 into 1
0.369 * [backup-simplify]: Simplify (* 1 1) into 1
0.369 * [backup-simplify]: Simplify (/ 1 1) into 1
0.369 * [taylor]: Taking taylor expansion of y.re in y.re
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify 1 into 1
0.370 * [backup-simplify]: Simplify (+ 0 1) into 1
0.370 * [backup-simplify]: Simplify (* 1 0) into 0
0.371 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.372 * [backup-simplify]: Simplify (+ 0 0) into 0
0.372 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
0.373 * [backup-simplify]: Simplify (/ 1 1) into 1
0.373 * [taylor]: Taking taylor expansion of 1 in x.re
0.373 * [backup-simplify]: Simplify 1 into 1
0.374 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
0.374 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
0.374 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
0.374 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
0.375 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
0.375 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
0.375 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
0.376 * [backup-simplify]: Simplify (+ 0 0) into 0
0.377 * [backup-simplify]: Simplify (- (/ (- (/ 1 (* y.im x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))
0.377 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) in y.re
0.377 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re
0.377 * [taylor]: Taking taylor expansion of (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re
0.377 * [taylor]: Taking taylor expansion of y.im in y.re
0.377 * [backup-simplify]: Simplify y.im into y.im
0.377 * [taylor]: Taking taylor expansion of (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re
0.377 * [taylor]: Taking taylor expansion of x.re in y.re
0.377 * [backup-simplify]: Simplify x.re into x.re
0.377 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
0.377 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.377 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.377 * [taylor]: Taking taylor expansion of y.im in y.re
0.377 * [backup-simplify]: Simplify y.im into y.im
0.377 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.378 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.378 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
0.378 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.378 * [taylor]: Taking taylor expansion of y.re in y.re
0.378 * [backup-simplify]: Simplify 0 into 0
0.378 * [backup-simplify]: Simplify 1 into 1
0.378 * [backup-simplify]: Simplify (* 1 1) into 1
0.379 * [backup-simplify]: Simplify (/ 1 1) into 1
0.379 * [backup-simplify]: Simplify (+ 0 1) into 1
0.379 * [backup-simplify]: Simplify (* x.re 1) into x.re
0.380 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.380 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.382 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2))
0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow y.im 2)) 0))) into 0
0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.384 * [taylor]: Taking taylor expansion of 0 in x.re
0.384 * [backup-simplify]: Simplify 0 into 0
0.384 * [taylor]: Taking taylor expansion of 1 in y.im
0.384 * [backup-simplify]: Simplify 1 into 1
0.384 * [backup-simplify]: Simplify 0 into 0
0.385 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.385 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
0.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
0.386 * [backup-simplify]: Simplify (- 0) into 0
0.386 * [backup-simplify]: Simplify (+ 0 0) into 0
0.386 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.387 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.387 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (* 0 (/ -1 y.re)))) into 0
0.388 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
0.388 * [backup-simplify]: Simplify (+ 0 0) into 0
0.390 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0
0.390 * [taylor]: Taking taylor expansion of 0 in y.re
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [taylor]: Taking taylor expansion of 0 in x.re
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
0.391 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in x.re
0.391 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
0.391 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
0.391 * [taylor]: Taking taylor expansion of y.im in x.re
0.391 * [backup-simplify]: Simplify y.im into y.im
0.391 * [taylor]: Taking taylor expansion of x.re in x.re
0.391 * [backup-simplify]: Simplify 0 into 0
0.391 * [backup-simplify]: Simplify 1 into 1
0.391 * [backup-simplify]: Simplify (* y.im 0) into 0
0.392 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.392 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.392 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
0.392 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im
0.392 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
0.392 * [taylor]: Taking taylor expansion of y.im in y.im
0.392 * [backup-simplify]: Simplify 0 into 0
0.392 * [backup-simplify]: Simplify 1 into 1
0.392 * [backup-simplify]: Simplify (/ 1 1) into 1
0.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.394 * [backup-simplify]: Simplify (- 0) into 0
0.394 * [backup-simplify]: Simplify 0 into 0
0.395 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
0.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.397 * [backup-simplify]: Simplify (+ 0 0) into 0
0.399 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 1) (* 0 0)))) into (/ 1 (pow y.im 2))
0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
0.400 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.re
0.400 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
0.400 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
0.400 * [taylor]: Taking taylor expansion of y.im in x.re
0.400 * [backup-simplify]: Simplify y.im into y.im
0.400 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.400 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.400 * [taylor]: Taking taylor expansion of 0 in y.im
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [taylor]: Taking taylor expansion of 0 in y.im
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.400 * [backup-simplify]: Simplify 0 into 0
0.402 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.402 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
0.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
0.403 * [backup-simplify]: Simplify (- 0) into 0
0.403 * [backup-simplify]: Simplify (+ 0 0) into 0
0.404 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.404 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.405 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.re))))) into 0
0.406 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
0.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
0.407 * [backup-simplify]: Simplify (+ 0 0) into 0
0.409 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0
0.409 * [taylor]: Taking taylor expansion of 0 in y.re
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [taylor]: Taking taylor expansion of 0 in x.re
0.409 * [backup-simplify]: Simplify 0 into 0
0.409 * [taylor]: Taking taylor expansion of 0 in x.re
0.409 * [backup-simplify]: Simplify 0 into 0
0.410 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.411 * [backup-simplify]: Simplify (+ 0 0) into 0
0.412 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 1)) into 0
0.412 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
0.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
0.413 * [backup-simplify]: Simplify (- 0) into 0
0.413 * [taylor]: Taking taylor expansion of 0 in x.re
0.413 * [backup-simplify]: Simplify 0 into 0
0.413 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
0.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.416 * [backup-simplify]: Simplify (+ 0 0) into 0
0.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
0.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
0.420 * [taylor]: Taking taylor expansion of 0 in x.re
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [taylor]: Taking taylor expansion of 0 in y.im
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * [backup-simplify]: Simplify 0 into 0
0.420 * * * * [progress]: [ 2 / 3 ] generating series at (2 1)
0.420 * [backup-simplify]: Simplify (- (* x.im y.re) (* x.re y.im)) into (- (* y.re x.im) (* y.im x.re))
0.420 * [approximate]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in (x.im y.re x.re y.im) around 0
0.420 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.im
0.420 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
0.420 * [taylor]: Taking taylor expansion of y.re in y.im
0.421 * [backup-simplify]: Simplify y.re into y.re
0.421 * [taylor]: Taking taylor expansion of x.im in y.im
0.421 * [backup-simplify]: Simplify x.im into x.im
0.421 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
0.421 * [taylor]: Taking taylor expansion of y.im in y.im
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [taylor]: Taking taylor expansion of x.re in y.im
0.421 * [backup-simplify]: Simplify x.re into x.re
0.421 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.re
0.421 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
0.421 * [taylor]: Taking taylor expansion of y.re in x.re
0.421 * [backup-simplify]: Simplify y.re into y.re
0.421 * [taylor]: Taking taylor expansion of x.im in x.re
0.421 * [backup-simplify]: Simplify x.im into x.im
0.421 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
0.421 * [taylor]: Taking taylor expansion of y.im in x.re
0.421 * [backup-simplify]: Simplify y.im into y.im
0.421 * [taylor]: Taking taylor expansion of x.re in x.re
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.re
0.421 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
0.421 * [taylor]: Taking taylor expansion of y.re in y.re
0.421 * [backup-simplify]: Simplify 0 into 0
0.421 * [backup-simplify]: Simplify 1 into 1
0.421 * [taylor]: Taking taylor expansion of x.im in y.re
0.421 * [backup-simplify]: Simplify x.im into x.im
0.421 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
0.421 * [taylor]: Taking taylor expansion of y.im in y.re
0.421 * [backup-simplify]: Simplify y.im into y.im
0.421 * [taylor]: Taking taylor expansion of x.re in y.re
0.421 * [backup-simplify]: Simplify x.re into x.re
0.421 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
0.422 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
0.422 * [taylor]: Taking taylor expansion of y.re in x.im
0.422 * [backup-simplify]: Simplify y.re into y.re
0.422 * [taylor]: Taking taylor expansion of x.im in x.im
0.422 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify 1 into 1
0.422 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
0.422 * [taylor]: Taking taylor expansion of y.im in x.im
0.422 * [backup-simplify]: Simplify y.im into y.im
0.422 * [taylor]: Taking taylor expansion of x.re in x.im
0.422 * [backup-simplify]: Simplify x.re into x.re
0.422 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
0.422 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
0.422 * [taylor]: Taking taylor expansion of y.re in x.im
0.422 * [backup-simplify]: Simplify y.re into y.re
0.422 * [taylor]: Taking taylor expansion of x.im in x.im
0.422 * [backup-simplify]: Simplify 0 into 0
0.422 * [backup-simplify]: Simplify 1 into 1
0.422 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
0.422 * [taylor]: Taking taylor expansion of y.im in x.im
0.422 * [backup-simplify]: Simplify y.im into y.im
0.422 * [taylor]: Taking taylor expansion of x.re in x.im
0.422 * [backup-simplify]: Simplify x.re into x.re
0.422 * [backup-simplify]: Simplify (* y.re 0) into 0
0.422 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.422 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
0.423 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
0.423 * [taylor]: Taking taylor expansion of (- (* y.im x.re)) in y.re
0.423 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
0.423 * [taylor]: Taking taylor expansion of y.im in y.re
0.423 * [backup-simplify]: Simplify y.im into y.im
0.423 * [taylor]: Taking taylor expansion of x.re in y.re
0.423 * [backup-simplify]: Simplify x.re into x.re
0.423 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.423 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
0.423 * [taylor]: Taking taylor expansion of (- (* y.im x.re)) in x.re
0.423 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
0.423 * [taylor]: Taking taylor expansion of y.im in x.re
0.423 * [backup-simplify]: Simplify y.im into y.im
0.423 * [taylor]: Taking taylor expansion of x.re in x.re
0.423 * [backup-simplify]: Simplify 0 into 0
0.423 * [backup-simplify]: Simplify 1 into 1
0.423 * [backup-simplify]: Simplify (* y.im 0) into 0
0.424 * [backup-simplify]: Simplify (- 0) into 0
0.424 * [taylor]: Taking taylor expansion of 0 in y.im
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify 0 into 0
0.424 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.424 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
0.425 * [backup-simplify]: Simplify (- 0) into 0
0.425 * [backup-simplify]: Simplify (+ y.re 0) into y.re
0.425 * [taylor]: Taking taylor expansion of y.re in y.re
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 1 into 1
0.425 * [taylor]: Taking taylor expansion of 0 in x.re
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [taylor]: Taking taylor expansion of 0 in y.im
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify 0 into 0
0.425 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
0.426 * [backup-simplify]: Simplify (- 0) into 0
0.426 * [taylor]: Taking taylor expansion of 0 in x.re
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [taylor]: Taking taylor expansion of 0 in y.im
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify 0 into 0
0.426 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.426 * [backup-simplify]: Simplify (- y.im) into (- y.im)
0.426 * [taylor]: Taking taylor expansion of (- y.im) in y.im
0.426 * [taylor]: Taking taylor expansion of y.im in y.im
0.426 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify 1 into 1
0.427 * [backup-simplify]: Simplify (- 0) into 0
0.427 * [backup-simplify]: Simplify 0 into 0
0.427 * [backup-simplify]: Simplify 0 into 0
0.428 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
0.428 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
0.429 * [backup-simplify]: Simplify (- 0) into 0
0.429 * [backup-simplify]: Simplify (+ 0 0) into 0
0.429 * [taylor]: Taking taylor expansion of 0 in y.re
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [taylor]: Taking taylor expansion of 0 in x.re
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [taylor]: Taking taylor expansion of 0 in y.im
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 0 into 0
0.429 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify (- (* (/ 1 x.im) (/ 1 y.re)) (* (/ 1 x.re) (/ 1 y.im))) into (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re)))
0.430 * [approximate]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in (x.im y.re x.re y.im) around 0
0.430 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
0.430 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
0.430 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
0.430 * [taylor]: Taking taylor expansion of y.re in y.im
0.430 * [backup-simplify]: Simplify y.re into y.re
0.430 * [taylor]: Taking taylor expansion of x.im in y.im
0.430 * [backup-simplify]: Simplify x.im into x.im
0.430 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
0.430 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
0.430 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
0.430 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
0.430 * [taylor]: Taking taylor expansion of y.im in y.im
0.430 * [backup-simplify]: Simplify 0 into 0
0.430 * [backup-simplify]: Simplify 1 into 1
0.430 * [taylor]: Taking taylor expansion of x.re in y.im
0.430 * [backup-simplify]: Simplify x.re into x.re
0.431 * [backup-simplify]: Simplify (* 0 x.re) into 0
0.431 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
0.431 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
0.431 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
0.431 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
0.431 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
0.431 * [taylor]: Taking taylor expansion of y.re in x.re
0.431 * [backup-simplify]: Simplify y.re into y.re
0.431 * [taylor]: Taking taylor expansion of x.im in x.re
0.431 * [backup-simplify]: Simplify x.im into x.im
0.431 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
0.431 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
0.431 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
0.432 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
0.432 * [taylor]: Taking taylor expansion of y.im in x.re
0.432 * [backup-simplify]: Simplify y.im into y.im
0.432 * [taylor]: Taking taylor expansion of x.re in x.re
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify 1 into 1
0.432 * [backup-simplify]: Simplify (* y.im 0) into 0
0.432 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.432 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.432 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
0.432 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
0.432 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
0.432 * [taylor]: Taking taylor expansion of y.re in y.re
0.432 * [backup-simplify]: Simplify 0 into 0
0.432 * [backup-simplify]: Simplify 1 into 1
0.432 * [taylor]: Taking taylor expansion of x.im in y.re
0.432 * [backup-simplify]: Simplify x.im into x.im
0.433 * [backup-simplify]: Simplify (* 0 x.im) into 0
0.433 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
0.433 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
0.433 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
0.433 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
0.433 * [taylor]: Taking taylor expansion of y.im in y.re
0.433 * [backup-simplify]: Simplify y.im into y.im
0.433 * [taylor]: Taking taylor expansion of x.re in y.re
0.433 * [backup-simplify]: Simplify x.re into x.re
0.433 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.433 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.433 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
0.433 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
0.434 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
0.434 * [taylor]: Taking taylor expansion of y.re in x.im
0.434 * [backup-simplify]: Simplify y.re into y.re
0.434 * [taylor]: Taking taylor expansion of x.im in x.im
0.434 * [backup-simplify]: Simplify 0 into 0
0.434 * [backup-simplify]: Simplify 1 into 1
0.434 * [backup-simplify]: Simplify (* y.re 0) into 0
0.434 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.434 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.434 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
0.434 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
0.434 * [taylor]: Taking taylor expansion of y.im in x.im
0.434 * [backup-simplify]: Simplify y.im into y.im
0.434 * [taylor]: Taking taylor expansion of x.re in x.im
0.434 * [backup-simplify]: Simplify x.re into x.re
0.435 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.435 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.435 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
0.435 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
0.435 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
0.435 * [taylor]: Taking taylor expansion of y.re in x.im
0.435 * [backup-simplify]: Simplify y.re into y.re
0.435 * [taylor]: Taking taylor expansion of x.im in x.im
0.435 * [backup-simplify]: Simplify 0 into 0
0.435 * [backup-simplify]: Simplify 1 into 1
0.435 * [backup-simplify]: Simplify (* y.re 0) into 0
0.435 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.435 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.435 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
0.435 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
0.436 * [taylor]: Taking taylor expansion of y.im in x.im
0.436 * [backup-simplify]: Simplify y.im into y.im
0.436 * [taylor]: Taking taylor expansion of x.re in x.im
0.436 * [backup-simplify]: Simplify x.re into x.re
0.436 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.436 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.436 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
0.436 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
0.436 * [taylor]: Taking taylor expansion of y.re in y.re
0.436 * [backup-simplify]: Simplify 0 into 0
0.436 * [backup-simplify]: Simplify 1 into 1
0.436 * [backup-simplify]: Simplify (/ 1 1) into 1
0.437 * [taylor]: Taking taylor expansion of 1 in x.re
0.437 * [backup-simplify]: Simplify 1 into 1
0.437 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
0.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
0.438 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
0.438 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
0.438 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in y.re
0.438 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
0.438 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
0.438 * [taylor]: Taking taylor expansion of y.im in y.re
0.438 * [backup-simplify]: Simplify y.im into y.im
0.438 * [taylor]: Taking taylor expansion of x.re in y.re
0.438 * [backup-simplify]: Simplify x.re into x.re
0.438 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.438 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.439 * [taylor]: Taking taylor expansion of 0 in x.re
0.439 * [backup-simplify]: Simplify 0 into 0
0.439 * [taylor]: Taking taylor expansion of 1 in y.im
0.439 * [backup-simplify]: Simplify 1 into 1
0.440 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.440 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
0.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
0.441 * [backup-simplify]: Simplify (- 0) into 0
0.441 * [backup-simplify]: Simplify (+ 0 0) into 0
0.441 * [taylor]: Taking taylor expansion of 0 in y.re
0.441 * [backup-simplify]: Simplify 0 into 0
0.441 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
0.441 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in x.re
0.441 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
0.441 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
0.442 * [taylor]: Taking taylor expansion of y.im in x.re
0.442 * [backup-simplify]: Simplify y.im into y.im
0.442 * [taylor]: Taking taylor expansion of x.re in x.re
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.442 * [backup-simplify]: Simplify (* y.im 0) into 0
0.442 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.442 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.442 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
0.442 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im
0.442 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
0.442 * [taylor]: Taking taylor expansion of y.im in y.im
0.442 * [backup-simplify]: Simplify 0 into 0
0.442 * [backup-simplify]: Simplify 1 into 1
0.443 * [backup-simplify]: Simplify (/ 1 1) into 1
0.443 * [backup-simplify]: Simplify (- 1) into -1
0.443 * [backup-simplify]: Simplify -1 into -1
0.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.444 * [taylor]: Taking taylor expansion of 0 in x.re
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [taylor]: Taking taylor expansion of 0 in y.im
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [taylor]: Taking taylor expansion of 0 in y.im
0.444 * [backup-simplify]: Simplify 0 into 0
0.444 * [backup-simplify]: Simplify 1 into 1
0.446 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.446 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
0.447 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
0.447 * [backup-simplify]: Simplify (- 0) into 0
0.447 * [backup-simplify]: Simplify (+ 0 0) into 0
0.447 * [taylor]: Taking taylor expansion of 0 in y.re
0.447 * [backup-simplify]: Simplify 0 into 0
0.447 * [taylor]: Taking taylor expansion of 0 in x.re
0.447 * [backup-simplify]: Simplify 0 into 0
0.448 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
0.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
0.448 * [backup-simplify]: Simplify (- 0) into 0
0.448 * [taylor]: Taking taylor expansion of 0 in x.re
0.448 * [backup-simplify]: Simplify 0 into 0
0.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.449 * [taylor]: Taking taylor expansion of 0 in x.re
0.449 * [backup-simplify]: Simplify 0 into 0
0.450 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
0.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
0.450 * [backup-simplify]: Simplify (- 0) into 0
0.450 * [taylor]: Taking taylor expansion of 0 in y.im
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [taylor]: Taking taylor expansion of 0 in y.im
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [taylor]: Taking taylor expansion of 0 in y.im
0.451 * [backup-simplify]: Simplify 0 into 0
0.451 * [taylor]: Taking taylor expansion of 0 in y.im
0.451 * [backup-simplify]: Simplify 0 into 0
0.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.457 * [backup-simplify]: Simplify (- 0) into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.458 * [backup-simplify]: Simplify 0 into 0
0.459 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
0.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.461 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
0.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
0.461 * [backup-simplify]: Simplify (- 0) into 0
0.462 * [backup-simplify]: Simplify (+ 0 0) into 0
0.462 * [taylor]: Taking taylor expansion of 0 in y.re
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [taylor]: Taking taylor expansion of 0 in x.re
0.462 * [backup-simplify]: Simplify 0 into 0
0.462 * [taylor]: Taking taylor expansion of 0 in x.re
0.462 * [backup-simplify]: Simplify 0 into 0
0.463 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
0.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
0.463 * [backup-simplify]: Simplify (- 0) into 0
0.463 * [taylor]: Taking taylor expansion of 0 in x.re
0.463 * [backup-simplify]: Simplify 0 into 0
0.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.464 * [taylor]: Taking taylor expansion of 0 in x.re
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [taylor]: Taking taylor expansion of 0 in y.im
0.464 * [backup-simplify]: Simplify 0 into 0
0.464 * [taylor]: Taking taylor expansion of 0 in y.im
0.464 * [backup-simplify]: Simplify 0 into 0
0.465 * [taylor]: Taking taylor expansion of 0 in y.im
0.465 * [backup-simplify]: Simplify 0 into 0
0.465 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
0.466 * [backup-simplify]: Simplify (- 0) into 0
0.466 * [taylor]: Taking taylor expansion of 0 in y.im
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [taylor]: Taking taylor expansion of 0 in y.im
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [taylor]: Taking taylor expansion of 0 in y.im
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [taylor]: Taking taylor expansion of 0 in y.im
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 0 into 0
0.466 * [backup-simplify]: Simplify 0 into 0
0.467 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 y.re)) (/ 1 (/ 1 x.im)))))) (* -1 (* (/ 1 (/ 1 y.im)) (* (/ 1 (/ 1 x.re)) (* 1 1))))) into (- (* y.re x.im) (* y.im x.re))
0.468 * [backup-simplify]: Simplify (- (* (/ 1 (- x.im)) (/ 1 (- y.re))) (* (/ 1 (- x.re)) (/ 1 (- y.im)))) into (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re)))
0.468 * [approximate]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in (x.im y.re x.re y.im) around 0
0.468 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
0.468 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
0.468 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
0.468 * [taylor]: Taking taylor expansion of y.re in y.im
0.468 * [backup-simplify]: Simplify y.re into y.re
0.468 * [taylor]: Taking taylor expansion of x.im in y.im
0.468 * [backup-simplify]: Simplify x.im into x.im
0.468 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
0.468 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
0.468 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
0.468 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
0.468 * [taylor]: Taking taylor expansion of y.im in y.im
0.468 * [backup-simplify]: Simplify 0 into 0
0.468 * [backup-simplify]: Simplify 1 into 1
0.468 * [taylor]: Taking taylor expansion of x.re in y.im
0.468 * [backup-simplify]: Simplify x.re into x.re
0.468 * [backup-simplify]: Simplify (* 0 x.re) into 0
0.469 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
0.469 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
0.469 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
0.469 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
0.469 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
0.469 * [taylor]: Taking taylor expansion of y.re in x.re
0.469 * [backup-simplify]: Simplify y.re into y.re
0.469 * [taylor]: Taking taylor expansion of x.im in x.re
0.469 * [backup-simplify]: Simplify x.im into x.im
0.469 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
0.469 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
0.469 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
0.469 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
0.469 * [taylor]: Taking taylor expansion of y.im in x.re
0.469 * [backup-simplify]: Simplify y.im into y.im
0.469 * [taylor]: Taking taylor expansion of x.re in x.re
0.469 * [backup-simplify]: Simplify 0 into 0
0.469 * [backup-simplify]: Simplify 1 into 1
0.469 * [backup-simplify]: Simplify (* y.im 0) into 0
0.470 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.470 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.470 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
0.470 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
0.470 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
0.470 * [taylor]: Taking taylor expansion of y.re in y.re
0.470 * [backup-simplify]: Simplify 0 into 0
0.470 * [backup-simplify]: Simplify 1 into 1
0.470 * [taylor]: Taking taylor expansion of x.im in y.re
0.470 * [backup-simplify]: Simplify x.im into x.im
0.470 * [backup-simplify]: Simplify (* 0 x.im) into 0
0.471 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
0.471 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
0.471 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
0.471 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
0.471 * [taylor]: Taking taylor expansion of y.im in y.re
0.471 * [backup-simplify]: Simplify y.im into y.im
0.471 * [taylor]: Taking taylor expansion of x.re in y.re
0.471 * [backup-simplify]: Simplify x.re into x.re
0.471 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.471 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.471 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
0.471 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
0.471 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
0.471 * [taylor]: Taking taylor expansion of y.re in x.im
0.471 * [backup-simplify]: Simplify y.re into y.re
0.471 * [taylor]: Taking taylor expansion of x.im in x.im
0.471 * [backup-simplify]: Simplify 0 into 0
0.471 * [backup-simplify]: Simplify 1 into 1
0.471 * [backup-simplify]: Simplify (* y.re 0) into 0
0.472 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.472 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.472 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
0.472 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
0.472 * [taylor]: Taking taylor expansion of y.im in x.im
0.472 * [backup-simplify]: Simplify y.im into y.im
0.472 * [taylor]: Taking taylor expansion of x.re in x.im
0.472 * [backup-simplify]: Simplify x.re into x.re
0.472 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.472 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.472 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
0.472 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
0.472 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
0.472 * [taylor]: Taking taylor expansion of y.re in x.im
0.472 * [backup-simplify]: Simplify y.re into y.re
0.472 * [taylor]: Taking taylor expansion of x.im in x.im
0.472 * [backup-simplify]: Simplify 0 into 0
0.472 * [backup-simplify]: Simplify 1 into 1
0.473 * [backup-simplify]: Simplify (* y.re 0) into 0
0.473 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.473 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.473 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
0.473 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
0.473 * [taylor]: Taking taylor expansion of y.im in x.im
0.473 * [backup-simplify]: Simplify y.im into y.im
0.473 * [taylor]: Taking taylor expansion of x.re in x.im
0.473 * [backup-simplify]: Simplify x.re into x.re
0.473 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.473 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.474 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
0.474 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
0.474 * [taylor]: Taking taylor expansion of y.re in y.re
0.474 * [backup-simplify]: Simplify 0 into 0
0.474 * [backup-simplify]: Simplify 1 into 1
0.474 * [backup-simplify]: Simplify (/ 1 1) into 1
0.474 * [taylor]: Taking taylor expansion of 1 in x.re
0.474 * [backup-simplify]: Simplify 1 into 1
0.475 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
0.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
0.475 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
0.475 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
0.475 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in y.re
0.475 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
0.475 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
0.475 * [taylor]: Taking taylor expansion of y.im in y.re
0.475 * [backup-simplify]: Simplify y.im into y.im
0.475 * [taylor]: Taking taylor expansion of x.re in y.re
0.475 * [backup-simplify]: Simplify x.re into x.re
0.476 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
0.476 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
0.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.476 * [taylor]: Taking taylor expansion of 0 in x.re
0.476 * [backup-simplify]: Simplify 0 into 0
0.477 * [taylor]: Taking taylor expansion of 1 in y.im
0.477 * [backup-simplify]: Simplify 1 into 1
0.477 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.478 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
0.478 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
0.478 * [backup-simplify]: Simplify (- 0) into 0
0.479 * [backup-simplify]: Simplify (+ 0 0) into 0
0.479 * [taylor]: Taking taylor expansion of 0 in y.re
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
0.479 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in x.re
0.479 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
0.479 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
0.479 * [taylor]: Taking taylor expansion of y.im in x.re
0.479 * [backup-simplify]: Simplify y.im into y.im
0.479 * [taylor]: Taking taylor expansion of x.re in x.re
0.479 * [backup-simplify]: Simplify 0 into 0
0.479 * [backup-simplify]: Simplify 1 into 1
0.479 * [backup-simplify]: Simplify (* y.im 0) into 0
0.480 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.480 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.480 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
0.480 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im
0.480 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
0.480 * [taylor]: Taking taylor expansion of y.im in y.im
0.480 * [backup-simplify]: Simplify 0 into 0
0.480 * [backup-simplify]: Simplify 1 into 1
0.481 * [backup-simplify]: Simplify (/ 1 1) into 1
0.481 * [backup-simplify]: Simplify (- 1) into -1
0.481 * [backup-simplify]: Simplify -1 into -1
0.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.482 * [taylor]: Taking taylor expansion of 0 in x.re
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [taylor]: Taking taylor expansion of 0 in y.im
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [taylor]: Taking taylor expansion of 0 in y.im
0.482 * [backup-simplify]: Simplify 0 into 0
0.482 * [backup-simplify]: Simplify 1 into 1
0.483 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.484 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
0.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
0.485 * [backup-simplify]: Simplify (- 0) into 0
0.486 * [backup-simplify]: Simplify (+ 0 0) into 0
0.486 * [taylor]: Taking taylor expansion of 0 in y.re
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [taylor]: Taking taylor expansion of 0 in x.re
0.486 * [backup-simplify]: Simplify 0 into 0
0.486 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
0.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
0.487 * [backup-simplify]: Simplify (- 0) into 0
0.487 * [taylor]: Taking taylor expansion of 0 in x.re
0.487 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.488 * [taylor]: Taking taylor expansion of 0 in x.re
0.488 * [backup-simplify]: Simplify 0 into 0
0.488 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
0.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
0.489 * [backup-simplify]: Simplify (- 0) into 0
0.489 * [taylor]: Taking taylor expansion of 0 in y.im
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [taylor]: Taking taylor expansion of 0 in y.im
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [taylor]: Taking taylor expansion of 0 in y.im
0.489 * [backup-simplify]: Simplify 0 into 0
0.489 * [taylor]: Taking taylor expansion of 0 in y.im
0.489 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.490 * [backup-simplify]: Simplify (- 0) into 0
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 0 into 0
0.490 * [backup-simplify]: Simplify 0 into 0
0.491 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
0.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.491 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
0.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
0.492 * [backup-simplify]: Simplify (- 0) into 0
0.492 * [backup-simplify]: Simplify (+ 0 0) into 0
0.492 * [taylor]: Taking taylor expansion of 0 in y.re
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [taylor]: Taking taylor expansion of 0 in x.re
0.492 * [backup-simplify]: Simplify 0 into 0
0.492 * [taylor]: Taking taylor expansion of 0 in x.re
0.492 * [backup-simplify]: Simplify 0 into 0
0.493 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
0.493 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
0.493 * [backup-simplify]: Simplify (- 0) into 0
0.493 * [taylor]: Taking taylor expansion of 0 in x.re
0.493 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.494 * [taylor]: Taking taylor expansion of 0 in x.re
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [taylor]: Taking taylor expansion of 0 in y.im
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [taylor]: Taking taylor expansion of 0 in y.im
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [taylor]: Taking taylor expansion of 0 in y.im
0.494 * [backup-simplify]: Simplify 0 into 0
0.494 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
0.495 * [backup-simplify]: Simplify (- 0) into 0
0.495 * [taylor]: Taking taylor expansion of 0 in y.im
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [taylor]: Taking taylor expansion of 0 in y.im
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [taylor]: Taking taylor expansion of 0 in y.im
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [taylor]: Taking taylor expansion of 0 in y.im
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify 0 into 0
0.495 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- y.re))) (/ 1 (/ 1 (- x.im))))))) (* -1 (* (/ 1 (/ 1 (- y.im))) (* (/ 1 (/ 1 (- x.re))) (* 1 1))))) into (- (* y.re x.im) (* y.im x.re))
0.495 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
0.496 * [backup-simplify]: Simplify (fma y.re y.re (* y.im y.im)) into (fma y.re y.re (pow y.im 2))
0.496 * [approximate]: Taking taylor expansion of (fma y.re y.re (pow y.im 2)) in (y.re y.im) around 0
0.496 * [taylor]: Taking taylor expansion of (fma y.re y.re (pow y.im 2)) in y.im
0.496 * [taylor]: Rewrote expression to (+ (* y.re y.re) (pow y.im 2))
0.496 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.im
0.496 * [taylor]: Taking taylor expansion of y.re in y.im
0.496 * [backup-simplify]: Simplify y.re into y.re
0.496 * [taylor]: Taking taylor expansion of y.re in y.im
0.496 * [backup-simplify]: Simplify y.re into y.re
0.496 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
0.496 * [taylor]: Taking taylor expansion of y.im in y.im
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 1 into 1
0.496 * [taylor]: Taking taylor expansion of (fma y.re y.re (pow y.im 2)) in y.re
0.496 * [taylor]: Rewrote expression to (+ (* y.re y.re) (pow y.im 2))
0.496 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
0.496 * [taylor]: Taking taylor expansion of y.re in y.re
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 1 into 1
0.496 * [taylor]: Taking taylor expansion of y.re in y.re
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 1 into 1
0.496 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.496 * [taylor]: Taking taylor expansion of y.im in y.re
0.496 * [backup-simplify]: Simplify y.im into y.im
0.496 * [taylor]: Taking taylor expansion of (fma y.re y.re (pow y.im 2)) in y.re
0.496 * [taylor]: Rewrote expression to (+ (* y.re y.re) (pow y.im 2))
0.496 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
0.496 * [taylor]: Taking taylor expansion of y.re in y.re
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 1 into 1
0.496 * [taylor]: Taking taylor expansion of y.re in y.re
0.496 * [backup-simplify]: Simplify 0 into 0
0.496 * [backup-simplify]: Simplify 1 into 1
0.496 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.496 * [taylor]: Taking taylor expansion of y.im in y.re
0.496 * [backup-simplify]: Simplify y.im into y.im
0.497 * [backup-simplify]: Simplify (* 0 0) into 0
0.497 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.497 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
0.497 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
0.497 * [taylor]: Taking taylor expansion of y.im in y.im
0.497 * [backup-simplify]: Simplify 0 into 0
0.497 * [backup-simplify]: Simplify 1 into 1
0.497 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
0.497 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.498 * [backup-simplify]: Simplify (+ 0 0) into 0
0.498 * [taylor]: Taking taylor expansion of 0 in y.im
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify 0 into 0
0.498 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
0.498 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.499 * [backup-simplify]: Simplify (+ 1 0) into 1
0.499 * [taylor]: Taking taylor expansion of 1 in y.im
0.499 * [backup-simplify]: Simplify 1 into 1
0.499 * [backup-simplify]: Simplify 1 into 1
0.499 * [backup-simplify]: Simplify 0 into 0
0.499 * [backup-simplify]: Simplify (* 1 1) into 1
0.499 * [backup-simplify]: Simplify 1 into 1
0.500 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0
0.500 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
0.500 * [backup-simplify]: Simplify (+ 0 0) into 0
0.500 * [taylor]: Taking taylor expansion of 0 in y.im
0.500 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify 0 into 0
0.501 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.501 * [backup-simplify]: Simplify 0 into 0
0.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.502 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im))))) into 0
0.503 * [backup-simplify]: Simplify (+ 0 0) into 0
0.503 * [taylor]: Taking taylor expansion of 0 in y.im
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify 0 into 0
0.503 * [backup-simplify]: Simplify (+ (* 1 (pow (* y.im 1) 2)) (* 1 (pow (* 1 y.re) 2))) into (+ (pow y.re 2) (pow y.im 2))
0.503 * [backup-simplify]: Simplify (fma (/ 1 y.re) (/ 1 y.re) (* (/ 1 y.im) (/ 1 y.im))) into (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2)))
0.503 * [approximate]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2))) in (y.re y.im) around 0
0.503 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2))) in y.im
0.503 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 y.re)) (/ 1 (pow y.im 2)))
0.503 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
0.503 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
0.503 * [taylor]: Taking taylor expansion of y.re in y.im
0.503 * [backup-simplify]: Simplify y.re into y.re
0.503 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.503 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
0.503 * [taylor]: Taking taylor expansion of y.re in y.im
0.503 * [backup-simplify]: Simplify y.re into y.re
0.503 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.503 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
0.503 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
0.504 * [taylor]: Taking taylor expansion of y.im in y.im
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 1 into 1
0.504 * [backup-simplify]: Simplify (* 1 1) into 1
0.504 * [backup-simplify]: Simplify (/ 1 1) into 1
0.504 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2))) in y.re
0.504 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 y.re)) (/ 1 (pow y.im 2)))
0.504 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
0.504 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
0.504 * [taylor]: Taking taylor expansion of y.re in y.re
0.504 * [backup-simplify]: Simplify 0 into 0
0.504 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (/ 1 1) into 1
0.505 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
0.505 * [taylor]: Taking taylor expansion of y.re in y.re
0.505 * [backup-simplify]: Simplify 0 into 0
0.505 * [backup-simplify]: Simplify 1 into 1
0.505 * [backup-simplify]: Simplify (/ 1 1) into 1
0.505 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.505 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.505 * [taylor]: Taking taylor expansion of y.im in y.re
0.505 * [backup-simplify]: Simplify y.im into y.im
0.505 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.505 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.506 * [taylor]: Taking taylor expansion of (fma (/ 1 y.re) (/ 1 y.re) (/ 1 (pow y.im 2))) in y.re
0.506 * [taylor]: Rewrote expression to (+ (* (/ 1 y.re) (/ 1 y.re)) (/ 1 (pow y.im 2)))
0.506 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
0.506 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
0.506 * [taylor]: Taking taylor expansion of y.re in y.re
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.506 * [backup-simplify]: Simplify (/ 1 1) into 1
0.506 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
0.506 * [taylor]: Taking taylor expansion of y.re in y.re
0.506 * [backup-simplify]: Simplify 0 into 0
0.506 * [backup-simplify]: Simplify 1 into 1
0.506 * [backup-simplify]: Simplify (/ 1 1) into 1
0.506 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.506 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.506 * [taylor]: Taking taylor expansion of y.im in y.re
0.506 * [backup-simplify]: Simplify y.im into y.im
0.506 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.507 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.507 * [backup-simplify]: Simplify (* 1 1) into 1
0.507 * [backup-simplify]: Simplify (+ 1 0) into 1
0.507 * [taylor]: Taking taylor expansion of 1 in y.im
0.507 * [backup-simplify]: Simplify 1 into 1
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.508 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.509 * [backup-simplify]: Simplify (+ 0 0) into 0
0.509 * [taylor]: Taking taylor expansion of 0 in y.im
0.509 * [backup-simplify]: Simplify 0 into 0
0.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.510 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
0.510 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
0.510 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
0.510 * [taylor]: Taking taylor expansion of y.im in y.im
0.510 * [backup-simplify]: Simplify 0 into 0
0.510 * [backup-simplify]: Simplify 1 into 1
0.511 * [backup-simplify]: Simplify (* 1 1) into 1
0.511 * [backup-simplify]: Simplify (/ 1 1) into 1
0.511 * [backup-simplify]: Simplify 1 into 1
0.511 * [backup-simplify]: Simplify 1 into 1
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.513 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.513 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
0.513 * [backup-simplify]: Simplify (+ 0 0) into 0
0.513 * [taylor]: Taking taylor expansion of 0 in y.im
0.513 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.514 * [backup-simplify]: Simplify 0 into 0
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.516 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.516 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
0.517 * [backup-simplify]: Simplify (+ 0 0) into 0
0.517 * [taylor]: Taking taylor expansion of 0 in y.im
0.517 * [backup-simplify]: Simplify 0 into 0
0.517 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify 0 into 0
0.518 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y.re))) 2)) (* 1 (pow (* (/ 1 (/ 1 y.im)) 1) 2))) into (+ (pow y.im 2) (pow y.re 2))
0.518 * [backup-simplify]: Simplify (fma (/ 1 (- y.re)) (/ 1 (- y.re)) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) into (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2)))
0.518 * [approximate]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2))) in (y.re y.im) around 0
0.518 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2))) in y.im
0.518 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 y.re)) (/ 1 (pow y.im 2)))
0.518 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.im
0.519 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
0.519 * [taylor]: Taking taylor expansion of -1 in y.im
0.519 * [backup-simplify]: Simplify -1 into -1
0.519 * [taylor]: Taking taylor expansion of y.re in y.im
0.519 * [backup-simplify]: Simplify y.re into y.re
0.519 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
0.519 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
0.519 * [taylor]: Taking taylor expansion of -1 in y.im
0.519 * [backup-simplify]: Simplify -1 into -1
0.519 * [taylor]: Taking taylor expansion of y.re in y.im
0.519 * [backup-simplify]: Simplify y.re into y.re
0.519 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
0.519 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
0.519 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
0.519 * [taylor]: Taking taylor expansion of y.im in y.im
0.519 * [backup-simplify]: Simplify 0 into 0
0.519 * [backup-simplify]: Simplify 1 into 1
0.519 * [backup-simplify]: Simplify (* 1 1) into 1
0.519 * [backup-simplify]: Simplify (/ 1 1) into 1
0.519 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2))) in y.re
0.519 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 y.re)) (/ 1 (pow y.im 2)))
0.519 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
0.519 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
0.519 * [taylor]: Taking taylor expansion of -1 in y.re
0.519 * [backup-simplify]: Simplify -1 into -1
0.520 * [taylor]: Taking taylor expansion of y.re in y.re
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (/ -1 1) into -1
0.520 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
0.520 * [taylor]: Taking taylor expansion of -1 in y.re
0.520 * [backup-simplify]: Simplify -1 into -1
0.520 * [taylor]: Taking taylor expansion of y.re in y.re
0.520 * [backup-simplify]: Simplify 0 into 0
0.520 * [backup-simplify]: Simplify 1 into 1
0.520 * [backup-simplify]: Simplify (/ -1 1) into -1
0.520 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.520 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.520 * [taylor]: Taking taylor expansion of y.im in y.re
0.520 * [backup-simplify]: Simplify y.im into y.im
0.520 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.520 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.520 * [taylor]: Taking taylor expansion of (fma (/ -1 y.re) (/ -1 y.re) (/ 1 (pow y.im 2))) in y.re
0.521 * [taylor]: Rewrote expression to (+ (* (/ -1 y.re) (/ -1 y.re)) (/ 1 (pow y.im 2)))
0.521 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
0.521 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
0.521 * [taylor]: Taking taylor expansion of -1 in y.re
0.521 * [backup-simplify]: Simplify -1 into -1
0.521 * [taylor]: Taking taylor expansion of y.re in y.re
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify 1 into 1
0.521 * [backup-simplify]: Simplify (/ -1 1) into -1
0.521 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
0.521 * [taylor]: Taking taylor expansion of -1 in y.re
0.521 * [backup-simplify]: Simplify -1 into -1
0.521 * [taylor]: Taking taylor expansion of y.re in y.re
0.521 * [backup-simplify]: Simplify 0 into 0
0.521 * [backup-simplify]: Simplify 1 into 1
0.521 * [backup-simplify]: Simplify (/ -1 1) into -1
0.521 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.521 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.521 * [taylor]: Taking taylor expansion of y.im in y.re
0.521 * [backup-simplify]: Simplify y.im into y.im
0.521 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.522 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.522 * [backup-simplify]: Simplify (* -1 -1) into 1
0.522 * [backup-simplify]: Simplify (+ 1 0) into 1
0.522 * [taylor]: Taking taylor expansion of 1 in y.im
0.522 * [backup-simplify]: Simplify 1 into 1
0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
0.523 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
0.524 * [backup-simplify]: Simplify (+ 0 0) into 0
0.524 * [taylor]: Taking taylor expansion of 0 in y.im
0.524 * [backup-simplify]: Simplify 0 into 0
0.524 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.525 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
0.526 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
0.526 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
0.526 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
0.526 * [taylor]: Taking taylor expansion of y.im in y.im
0.526 * [backup-simplify]: Simplify 0 into 0
0.526 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify (* 1 1) into 1
0.526 * [backup-simplify]: Simplify (/ 1 1) into 1
0.526 * [backup-simplify]: Simplify 1 into 1
0.526 * [backup-simplify]: Simplify 1 into 1
0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.527 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.528 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
0.528 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
0.528 * [backup-simplify]: Simplify (+ 0 0) into 0
0.529 * [taylor]: Taking taylor expansion of 0 in y.im
0.529 * [backup-simplify]: Simplify 0 into 0
0.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.530 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify 0 into 0
0.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.531 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.532 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
0.532 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
0.533 * [backup-simplify]: Simplify (+ 0 0) into 0
0.533 * [taylor]: Taking taylor expansion of 0 in y.im
0.533 * [backup-simplify]: Simplify 0 into 0
0.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify 0 into 0
0.534 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y.re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y.im))) 1) 2))) into (+ (pow y.im 2) (pow y.re 2))
0.534 * * * [progress]: simplifying candidates
0.535 * [simplify]: Simplifying:
  (expm1 (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (log1p (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (- (log (- (* x.im y.re) (* x.re y.im))) (log (fma y.re y.re (* y.im y.im))))
  (log (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (exp (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (/ (* (* (- (* x.im y.re) (* x.re y.im)) (- (* x.im y.re) (* x.re y.im))) (- (* x.im y.re) (* x.re y.im))) (* (* (fma y.re y.re (* y.im y.im)) (fma y.re y.re (* y.im y.im))) (fma y.re y.re (* y.im y.im))))
  (* (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im)))) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im)))))
  (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (* (* (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im)))) (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (- (- (* x.im y.re) (* x.re y.im)))
  (- (fma y.re y.re (* y.im y.im)))
  (/ (* x.im y.re) (fma y.re y.re (* y.im y.im)))
  (/ (* x.re y.im) (fma y.re y.re (* y.im y.im)))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (* (cbrt (fma y.re y.re (* y.im y.im))) (cbrt (fma y.re y.re (* y.im y.im)))))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (fma y.re y.re (* y.im y.im))))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (sqrt (fma y.re y.re (* y.im y.im))))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (sqrt (fma y.re y.re (* y.im y.im))))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) 1)
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (fma y.re y.re (* y.im y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (* (cbrt (fma y.re y.re (* y.im y.im))) (cbrt (fma y.re y.re (* y.im y.im)))))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (fma y.re y.re (* y.im y.im))))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (fma y.re y.re (* y.im y.im))))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (fma y.re y.re (* y.im y.im))))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) 1)
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (fma y.re y.re (* y.im y.im)))
  (/ 1 (* (cbrt (fma y.re y.re (* y.im y.im))) (cbrt (fma y.re y.re (* y.im y.im)))))
  (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (fma y.re y.re (* y.im y.im))))
  (/ 1 (sqrt (fma y.re y.re (* y.im y.im))))
  (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.re y.re (* y.im y.im))))
  (/ 1 1)
  (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im)))
  (/ 1 (fma y.re y.re (* y.im y.im)))
  (/ (fma y.re y.re (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) (* (cbrt (fma y.re y.re (* y.im y.im))) (cbrt (fma y.re y.re (* y.im y.im)))))
  (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (fma y.re y.re (* y.im y.im))))
  (/ (- (* x.im y.re) (* x.re y.im)) 1)
  (/ (fma y.re y.re (* y.im y.im)) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (/ (fma y.re y.re (* y.im y.im)) (sqrt (- (* x.im y.re) (* x.re y.im))))
  (/ (fma y.re y.re (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))
  (* (fma y.re y.re (* y.im y.im)) (+ (* (* x.im y.re) (* x.im y.re)) (+ (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.re y.im)))))
  (* (fma y.re y.re (* y.im y.im)) (+ (* x.im y.re) (* x.re y.im)))
  (fma x.im y.re (- (* y.im x.re)))
  (fma (- y.im) x.re (* y.im x.re))
  (expm1 (- (* x.im y.re) (* x.re y.im)))
  (log1p (- (* x.im y.re) (* x.re y.im)))
  (- (* x.re y.im))
  (/ (exp (* x.im y.re)) (exp (* x.re y.im)))
  (log (- (* x.im y.re) (* x.re y.im)))
  (exp (- (* x.im y.re) (* x.re y.im)))
  (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (cbrt (- (* x.im y.re) (* x.re y.im)))
  (* (* (- (* x.im y.re) (* x.re y.im)) (- (* x.im y.re) (* x.re y.im))) (- (* x.im y.re) (* x.re y.im)))
  (sqrt (- (* x.im y.re) (* x.re y.im)))
  (sqrt (- (* x.im y.re) (* x.re y.im)))
  (- (pow (* x.im y.re) 3) (pow (* x.re y.im) 3))
  (+ (* (* x.im y.re) (* x.im y.re)) (+ (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.re y.im))))
  (- (* x.re y.im))
  (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.re y.im)))
  (+ (* x.im y.re) (* x.re y.im))
  (- (* x.re y.im))
  (expm1 (fma y.re y.re (* y.im y.im)))
  (log1p (fma y.re y.re (* y.im y.im)))
  (* y.re y.re)
  (log (fma y.re y.re (* y.im y.im)))
  (exp (fma y.re y.re (* y.im y.im)))
  (* (cbrt (fma y.re y.re (* y.im y.im))) (cbrt (fma y.re y.re (* y.im y.im))))
  (cbrt (fma y.re y.re (* y.im y.im)))
  (* (* (fma y.re y.re (* y.im y.im)) (fma y.re y.re (* y.im y.im))) (fma y.re y.re (* y.im y.im)))
  (sqrt (fma y.re y.re (* y.im y.im)))
  (sqrt (fma y.re y.re (* y.im y.im)))
  0
  0
  0
  0
  (- (* y.re x.im) (* y.im x.re))
  (- (* y.re x.im) (* y.im x.re))
  (+ (pow y.re 2) (pow y.im 2))
  (+ (pow y.im 2) (pow y.re 2))
  (+ (pow y.im 2) (pow y.re 2))
0.537 * * [simplify]: Extracting # 0 : cost  0
0.537 * * [simplify]: Extracting # 1 : cost  0
0.537 * * [simplify]: Extracting # 2 : cost  0
0.537 * * [simplify]: Extracting # 3 : cost  0
0.537 * * [simplify]: Extracting # 4 : cost  0
0.537 * * [simplify]: Extracting # 5 : cost  0
0.537 * * [simplify]: Extracting # 6 : cost  0
0.538 * * [simplify]: iteration  0 :  97  enodes  (cost  1039 )
0.565 * * [simplify]: Extracting # 0 : cost  0
0.565 * * [simplify]: Extracting # 1 : cost  0
0.566 * * [simplify]: Extracting # 2 : cost  0
0.566 * * [simplify]: Extracting # 3 : cost  0
0.567 * * [simplify]: iteration  1 :  228  enodes  (cost  1011 )
0.722 * * [simplify]: Extracting # 0 : cost  0
0.722 * * [simplify]: Extracting # 1 : cost  0
0.723 * * [simplify]: Extracting # 2 : cost  0
0.724 * * [simplify]: Extracting # 3 : cost  0
0.725 * * [simplify]: Extracting # 4 : cost  0
0.726 * * [simplify]: iteration  2 :  761  enodes  (cost  906 )
1.228 * * [simplify]: Extracting # 0 : cost  0
1.231 * * [simplify]: Extracting # 1 : cost  0
1.234 * * [simplify]: Extracting # 2 : cost  0
1.244 * * [simplify]: Extracting # 3 : cost  0
1.246 * * [simplify]: Extracting # 4 : cost  0
1.249 * * [simplify]: iteration  3 :  2655  enodes  (cost  892 )
3.459 * * [simplify]: Extracting # 0 : cost  0
3.471 * * [simplify]: Extracting # 1 : cost  0
3.476 * * [simplify]: Extracting # 2 : cost  0
3.484 * * [simplify]: Extracting # 3 : cost  0
3.492 * * [simplify]: Extracting # 4 : cost  0
3.500 * * [simplify]: iteration done:  5000  enodes  (cost  886 )
3.500 * [simplify]: Simplified to:
  (expm1 (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (log1p (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (log (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (log (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (exp (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (pow (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))) 3)
  (* (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im)))) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im)))))
  (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (pow (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))) 3)
  (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im))))
  (fma y.im x.re (- (* y.re x.im)))
  (- (fma y.re y.re (* y.im y.im)))
  (/ (* x.im y.re) (fma y.re y.re (* y.im y.im)))
  (/ (* x.re y.im) (fma y.re y.re (* y.im y.im)))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (* (cbrt (fma y.re y.re (* y.im y.im))) (cbrt (fma y.re y.re (* y.im y.im)))))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (fma y.re y.re (* y.im y.im))))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (hypot y.re y.im))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (fma y.re y.re (* y.im y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (* (cbrt (fma y.re y.re (* y.im y.im))) (cbrt (fma y.re y.re (* y.im y.im)))))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (fma y.re y.re (* y.im y.im))))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (sqrt (- (* x.im y.re) (* x.re y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (fma y.re y.re (* y.im y.im)))
  (/ 1 (* (cbrt (fma y.re y.re (* y.im y.im))) (cbrt (fma y.re y.re (* y.im y.im)))))
  (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (fma y.re y.re (* y.im y.im))))
  (/ 1 (hypot y.re y.im))
  (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))
  1
  (/ (- (* x.im y.re) (* x.re y.im)) (fma y.re y.re (* y.im y.im)))
  (/ 1 (fma y.re y.re (* y.im y.im)))
  (/ (fma y.re y.re (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) (* (cbrt (fma y.re y.re (* y.im y.im))) (cbrt (fma y.re y.re (* y.im y.im)))))
  (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))
  (- (* x.im y.re) (* x.re y.im))
  (/ (fma y.re y.re (* y.im y.im)) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (/ (fma y.re y.re (* y.im y.im)) (sqrt (- (* x.im y.re) (* x.re y.im))))
  (/ (fma y.re y.re (* y.im y.im)) (- (* x.im y.re) (* x.re y.im)))
  (* (fma y.re y.re (pow y.im 2)) (fma (* x.im y.re) (* x.im y.re) (* (* x.re y.im) (fma x.im y.re (* x.re y.im)))))
  (* (fma x.im y.re (* x.re y.im)) (fma y.re y.re (pow y.im 2)))
  (- (* x.im y.re) (* x.re y.im))
  0
  (expm1 (- (* x.im y.re) (* x.re y.im)))
  (log1p (- (* x.im y.re) (* x.re y.im)))
  (- (* x.re y.im))
  (exp (- (* x.im y.re) (* x.re y.im)))
  (log (- (* x.im y.re) (* x.re y.im)))
  (exp (- (* x.im y.re) (* x.re y.im)))
  (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (cbrt (- (* x.im y.re) (* x.re y.im)))
  (pow (- (* x.im y.re) (* x.re y.im)) 3)
  (sqrt (- (* x.im y.re) (* x.re y.im)))
  (sqrt (- (* x.im y.re) (* x.re y.im)))
  (- (pow (* x.im y.re) 3) (pow (* x.re y.im) 3))
  (fma (* x.im y.re) (* x.im y.re) (* (* x.re y.im) (fma x.im y.re (* x.re y.im))))
  (- (* x.re y.im))
  (* (fma x.im y.re (* x.re y.im)) (- (* x.im y.re) (* x.re y.im)))
  (fma x.im y.re (* x.re y.im))
  (- (* x.re y.im))
  (expm1 (fma y.re y.re (* y.im y.im)))
  (log1p (fma y.re y.re (* y.im y.im)))
  (* y.re y.re)
  (log (fma y.im y.im (* y.re y.re)))
  (exp (fma y.re y.re (* y.im y.im)))
  (* (cbrt (fma y.re y.re (* y.im y.im))) (cbrt (fma y.re y.re (* y.im y.im))))
  (cbrt (fma y.re y.re (* y.im y.im)))
  (pow (fma y.im y.im (* y.re y.re)) 3)
  (hypot y.im y.re)
  (hypot y.im y.re)
  0
  0
  0
  0
  (- (* x.im y.re) (* x.re y.im))
  (- (* x.im y.re) (* x.re y.im))
  (fma y.im y.im (* y.re y.re))
  (fma y.im y.im (* y.re y.re))
  (fma y.im y.im (* y.re y.re))
3.501 * * * [progress]: adding candidates to table
3.738 * * [progress]: iteration 2 / 4
3.738 * * * [progress]: picking best candidate
3.778 * * * * [pick]: Picked  #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))>
3.778 * * * [progress]: localizing error
3.799 * * * [progress]: generating rewritten candidates
3.799 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
3.831 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1)
3.843 * * * * [progress]: [ 3 / 4 ] rewriting at (2)
3.890 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
3.902 * * * [progress]: generating series expansions
3.902 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
3.903 * [backup-simplify]: Simplify (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) into (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.re y.im))
3.903 * [approximate]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.re y.im)) in (x.im y.re x.re y.im) around 0
3.903 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.re y.im)) in y.im
3.903 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.im
3.903 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
3.903 * [taylor]: Taking taylor expansion of y.re in y.im
3.903 * [backup-simplify]: Simplify y.re into y.re
3.903 * [taylor]: Taking taylor expansion of x.im in y.im
3.903 * [backup-simplify]: Simplify x.im into x.im
3.903 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
3.903 * [taylor]: Taking taylor expansion of y.im in y.im
3.903 * [backup-simplify]: Simplify 0 into 0
3.903 * [backup-simplify]: Simplify 1 into 1
3.903 * [taylor]: Taking taylor expansion of x.re in y.im
3.903 * [backup-simplify]: Simplify x.re into x.re
3.903 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.im
3.903 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
3.903 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
3.903 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.im
3.903 * [taylor]: Taking taylor expansion of y.re in y.im
3.903 * [backup-simplify]: Simplify y.re into y.re
3.903 * [taylor]: Taking taylor expansion of y.re in y.im
3.903 * [backup-simplify]: Simplify y.re into y.re
3.903 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.im
3.903 * [taylor]: Taking taylor expansion of y.im in y.im
3.903 * [backup-simplify]: Simplify 0 into 0
3.903 * [backup-simplify]: Simplify 1 into 1
3.904 * [taylor]: Taking taylor expansion of y.im in y.im
3.904 * [backup-simplify]: Simplify 0 into 0
3.904 * [backup-simplify]: Simplify 1 into 1
3.904 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.904 * [backup-simplify]: Simplify (* 0 0) into 0
3.905 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
3.905 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
3.905 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
3.905 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.906 * [backup-simplify]: Simplify (+ 0 0) into 0
3.906 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
3.906 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
3.906 * [backup-simplify]: Simplify (* 0 x.re) into 0
3.906 * [backup-simplify]: Simplify (- 0) into 0
3.906 * [backup-simplify]: Simplify (+ (* y.re x.im) 0) into (* y.re x.im)
3.907 * [backup-simplify]: Simplify (/ (* y.re x.im) y.re) into x.im
3.907 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.re y.im)) in x.re
3.907 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.re
3.907 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
3.907 * [taylor]: Taking taylor expansion of y.re in x.re
3.907 * [backup-simplify]: Simplify y.re into y.re
3.907 * [taylor]: Taking taylor expansion of x.im in x.re
3.907 * [backup-simplify]: Simplify x.im into x.im
3.907 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
3.907 * [taylor]: Taking taylor expansion of y.im in x.re
3.907 * [backup-simplify]: Simplify y.im into y.im
3.907 * [taylor]: Taking taylor expansion of x.re in x.re
3.907 * [backup-simplify]: Simplify 0 into 0
3.907 * [backup-simplify]: Simplify 1 into 1
3.907 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.re
3.907 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
3.907 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
3.907 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.re
3.907 * [taylor]: Taking taylor expansion of y.re in x.re
3.907 * [backup-simplify]: Simplify y.re into y.re
3.907 * [taylor]: Taking taylor expansion of y.re in x.re
3.907 * [backup-simplify]: Simplify y.re into y.re
3.907 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.re
3.907 * [taylor]: Taking taylor expansion of y.im in x.re
3.907 * [backup-simplify]: Simplify y.im into y.im
3.907 * [taylor]: Taking taylor expansion of y.im in x.re
3.907 * [backup-simplify]: Simplify y.im into y.im
3.907 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.907 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.908 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
3.908 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
3.908 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
3.908 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
3.908 * [backup-simplify]: Simplify (+ 0 0) into 0
3.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
3.909 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
3.909 * [backup-simplify]: Simplify (* y.im 0) into 0
3.909 * [backup-simplify]: Simplify (- 0) into 0
3.909 * [backup-simplify]: Simplify (+ (* y.re x.im) 0) into (* y.re x.im)
3.910 * [backup-simplify]: Simplify (/ (* y.re x.im) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.re x.im))
3.910 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.re y.im)) in y.re
3.910 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.re
3.910 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
3.910 * [taylor]: Taking taylor expansion of y.re in y.re
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 1 into 1
3.910 * [taylor]: Taking taylor expansion of x.im in y.re
3.910 * [backup-simplify]: Simplify x.im into x.im
3.910 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
3.910 * [taylor]: Taking taylor expansion of y.im in y.re
3.910 * [backup-simplify]: Simplify y.im into y.im
3.910 * [taylor]: Taking taylor expansion of x.re in y.re
3.910 * [backup-simplify]: Simplify x.re into x.re
3.910 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
3.910 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
3.910 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
3.910 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
3.910 * [taylor]: Taking taylor expansion of y.re in y.re
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 1 into 1
3.910 * [taylor]: Taking taylor expansion of y.re in y.re
3.910 * [backup-simplify]: Simplify 0 into 0
3.910 * [backup-simplify]: Simplify 1 into 1
3.910 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
3.910 * [taylor]: Taking taylor expansion of y.im in y.re
3.910 * [backup-simplify]: Simplify y.im into y.im
3.910 * [taylor]: Taking taylor expansion of y.im in y.re
3.910 * [backup-simplify]: Simplify y.im into y.im
3.911 * [backup-simplify]: Simplify (* 0 0) into 0
3.911 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.911 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
3.911 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
3.912 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
3.912 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
3.912 * [backup-simplify]: Simplify (+ 0 0) into 0
3.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
3.912 * [backup-simplify]: Simplify (* 0 x.im) into 0
3.912 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
3.913 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
3.913 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
3.913 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) y.im) into (* -1 x.re)
3.913 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.re y.im)) in x.im
3.913 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
3.913 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
3.913 * [taylor]: Taking taylor expansion of y.re in x.im
3.913 * [backup-simplify]: Simplify y.re into y.re
3.913 * [taylor]: Taking taylor expansion of x.im in x.im
3.913 * [backup-simplify]: Simplify 0 into 0
3.913 * [backup-simplify]: Simplify 1 into 1
3.913 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
3.913 * [taylor]: Taking taylor expansion of y.im in x.im
3.913 * [backup-simplify]: Simplify y.im into y.im
3.913 * [taylor]: Taking taylor expansion of x.re in x.im
3.913 * [backup-simplify]: Simplify x.re into x.re
3.913 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.im
3.913 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
3.913 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
3.913 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
3.913 * [taylor]: Taking taylor expansion of y.re in x.im
3.913 * [backup-simplify]: Simplify y.re into y.re
3.913 * [taylor]: Taking taylor expansion of y.re in x.im
3.913 * [backup-simplify]: Simplify y.re into y.re
3.913 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.im
3.913 * [taylor]: Taking taylor expansion of y.im in x.im
3.913 * [backup-simplify]: Simplify y.im into y.im
3.913 * [taylor]: Taking taylor expansion of y.im in x.im
3.914 * [backup-simplify]: Simplify y.im into y.im
3.914 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.914 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.914 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
3.914 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
3.914 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
3.914 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
3.915 * [backup-simplify]: Simplify (+ 0 0) into 0
3.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
3.915 * [backup-simplify]: Simplify (* y.re 0) into 0
3.915 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
3.915 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
3.915 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
3.915 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* -1 (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re)))
3.916 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.re y.im)) in x.im
3.916 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
3.916 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
3.916 * [taylor]: Taking taylor expansion of y.re in x.im
3.916 * [backup-simplify]: Simplify y.re into y.re
3.916 * [taylor]: Taking taylor expansion of x.im in x.im
3.916 * [backup-simplify]: Simplify 0 into 0
3.916 * [backup-simplify]: Simplify 1 into 1
3.916 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
3.916 * [taylor]: Taking taylor expansion of y.im in x.im
3.916 * [backup-simplify]: Simplify y.im into y.im
3.916 * [taylor]: Taking taylor expansion of x.re in x.im
3.916 * [backup-simplify]: Simplify x.re into x.re
3.916 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.im
3.916 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
3.916 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
3.916 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
3.916 * [taylor]: Taking taylor expansion of y.re in x.im
3.916 * [backup-simplify]: Simplify y.re into y.re
3.916 * [taylor]: Taking taylor expansion of y.re in x.im
3.916 * [backup-simplify]: Simplify y.re into y.re
3.916 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.im
3.916 * [taylor]: Taking taylor expansion of y.im in x.im
3.916 * [backup-simplify]: Simplify y.im into y.im
3.916 * [taylor]: Taking taylor expansion of y.im in x.im
3.916 * [backup-simplify]: Simplify y.im into y.im
3.916 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.916 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.917 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
3.917 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
3.917 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
3.917 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
3.917 * [backup-simplify]: Simplify (+ 0 0) into 0
3.918 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
3.918 * [backup-simplify]: Simplify (* y.re 0) into 0
3.918 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
3.918 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
3.918 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
3.918 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* -1 (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re)))
3.918 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re))) in y.re
3.918 * [taylor]: Taking taylor expansion of -1 in y.re
3.918 * [backup-simplify]: Simplify -1 into -1
3.918 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re)) in y.re
3.919 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re
3.919 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re
3.919 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re
3.919 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
3.919 * [taylor]: Taking taylor expansion of y.im in y.re
3.919 * [backup-simplify]: Simplify y.im into y.im
3.919 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
3.919 * [taylor]: Taking taylor expansion of y.re in y.re
3.919 * [backup-simplify]: Simplify 0 into 0
3.919 * [backup-simplify]: Simplify 1 into 1
3.919 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.919 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2)
3.919 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.919 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im)
3.919 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
3.920 * [backup-simplify]: Simplify (+ 0 0) into 0
3.920 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
3.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0
3.920 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
3.920 * [taylor]: Taking taylor expansion of y.im in y.re
3.920 * [backup-simplify]: Simplify y.im into y.im
3.920 * [taylor]: Taking taylor expansion of x.re in y.re
3.920 * [backup-simplify]: Simplify x.re into x.re
3.920 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
3.920 * [backup-simplify]: Simplify (* (/ 1 y.im) (* y.im x.re)) into x.re
3.920 * [backup-simplify]: Simplify (* -1 x.re) into (* -1 x.re)
3.920 * [taylor]: Taking taylor expansion of (* -1 x.re) in x.re
3.920 * [taylor]: Taking taylor expansion of -1 in x.re
3.920 * [backup-simplify]: Simplify -1 into -1
3.920 * [taylor]: Taking taylor expansion of x.re in x.re
3.920 * [backup-simplify]: Simplify 0 into 0
3.920 * [backup-simplify]: Simplify 1 into 1
3.921 * [backup-simplify]: Simplify (* -1 0) into 0
3.921 * [taylor]: Taking taylor expansion of 0 in y.im
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify 0 into 0
3.921 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
3.921 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
3.921 * [backup-simplify]: Simplify (- 0) into 0
3.921 * [backup-simplify]: Simplify (+ y.re 0) into y.re
3.922 * [backup-simplify]: Simplify (- (/ y.re (sqrt (+ (pow y.re 2) (pow y.im 2)))) (+ (* (* -1 (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re))) (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re)
3.922 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re) in y.re
3.922 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re
3.922 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re
3.922 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re
3.922 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
3.922 * [taylor]: Taking taylor expansion of y.im in y.re
3.922 * [backup-simplify]: Simplify y.im into y.im
3.922 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
3.922 * [taylor]: Taking taylor expansion of y.re in y.re
3.922 * [backup-simplify]: Simplify 0 into 0
3.922 * [backup-simplify]: Simplify 1 into 1
3.922 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.922 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2)
3.922 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.923 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im)
3.923 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
3.923 * [backup-simplify]: Simplify (+ 0 0) into 0
3.923 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
3.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0
3.923 * [taylor]: Taking taylor expansion of y.re in y.re
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify 1 into 1
3.923 * [backup-simplify]: Simplify (* (/ 1 y.im) 0) into 0
3.923 * [taylor]: Taking taylor expansion of 0 in x.re
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [taylor]: Taking taylor expansion of 0 in y.im
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify 0 into 0
3.923 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
3.923 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (* y.im x.re))) into 0
3.924 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x.re)) into 0
3.924 * [taylor]: Taking taylor expansion of 0 in x.re
3.924 * [backup-simplify]: Simplify 0 into 0
3.924 * [taylor]: Taking taylor expansion of 0 in y.im
3.924 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify 0 into 0
3.924 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1
3.924 * [taylor]: Taking taylor expansion of -1 in y.im
3.924 * [backup-simplify]: Simplify -1 into -1
3.924 * [backup-simplify]: Simplify -1 into -1
3.924 * [backup-simplify]: Simplify 0 into 0
3.925 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
3.925 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
3.925 * [backup-simplify]: Simplify (- 0) into 0
3.926 * [backup-simplify]: Simplify (+ 0 0) into 0
3.926 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
3.927 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
3.927 * [backup-simplify]: Simplify (+ 0 0) into 0
3.928 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
3.930 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2)))) (+ (* (* -1 (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re))) (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))) (* (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re) (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))))) into 0
3.930 * [taylor]: Taking taylor expansion of 0 in y.re
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [taylor]: Taking taylor expansion of 0 in x.re
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [taylor]: Taking taylor expansion of 0 in y.im
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 1) (* 0 0)) into (/ 1 y.im)
3.930 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
3.930 * [taylor]: Taking taylor expansion of y.im in x.re
3.930 * [backup-simplify]: Simplify y.im into y.im
3.930 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.930 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
3.930 * [taylor]: Taking taylor expansion of y.im in y.im
3.930 * [backup-simplify]: Simplify 0 into 0
3.930 * [backup-simplify]: Simplify 1 into 1
3.931 * [backup-simplify]: Simplify (/ 1 1) into 1
3.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.932 * [backup-simplify]: Simplify 0 into 0
3.932 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
3.932 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
3.933 * [backup-simplify]: Simplify (* 1 1) into 1
3.933 * [backup-simplify]: Simplify (+ 0 1) into 1
3.933 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 1 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into (- (/ 1 (pow y.im 4)))
3.934 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 4))) (pow 0 2) (+)) (* 2 (/ 1 y.im))) into (/ -1/2 (pow y.im 3))
3.935 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 3)) (* y.im x.re)))) into (- (* 1/2 (/ x.re (pow y.im 2))))
3.936 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ x.re (pow y.im 2))))) (+ (* 0 0) (* 0 x.re))) into (* 1/2 (/ x.re (pow y.im 2)))
3.936 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.re (pow y.im 2))) in x.re
3.936 * [taylor]: Taking taylor expansion of 1/2 in x.re
3.936 * [backup-simplify]: Simplify 1/2 into 1/2
3.936 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 2)) in x.re
3.936 * [taylor]: Taking taylor expansion of x.re in x.re
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 1 into 1
3.936 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
3.936 * [taylor]: Taking taylor expansion of y.im in x.re
3.936 * [backup-simplify]: Simplify y.im into y.im
3.936 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.936 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.936 * [taylor]: Taking taylor expansion of 0 in y.im
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [taylor]: Taking taylor expansion of 0 in y.im
3.936 * [backup-simplify]: Simplify 0 into 0
3.936 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0
3.937 * [taylor]: Taking taylor expansion of 0 in y.im
3.937 * [backup-simplify]: Simplify 0 into 0
3.937 * [backup-simplify]: Simplify 0 into 0
3.938 * [backup-simplify]: Simplify (* -1 (* 1 (* x.re (* 1 1)))) into (* -1 x.re)
3.938 * [backup-simplify]: Simplify (/ (- (* (/ 1 x.im) (/ 1 y.re)) (* (/ 1 x.re) (/ 1 y.im))) (hypot (/ 1 y.re) (/ 1 y.im))) into (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ 1 y.re) (/ 1 y.im)))
3.938 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ 1 y.re) (/ 1 y.im))) in (x.im y.re x.re y.im) around 0
3.938 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ 1 y.re) (/ 1 y.im))) in y.im
3.938 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
3.938 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
3.938 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
3.938 * [taylor]: Taking taylor expansion of y.re in y.im
3.938 * [backup-simplify]: Simplify y.re into y.re
3.938 * [taylor]: Taking taylor expansion of x.im in y.im
3.938 * [backup-simplify]: Simplify x.im into x.im
3.938 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
3.938 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
3.939 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
3.939 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
3.939 * [taylor]: Taking taylor expansion of y.im in y.im
3.939 * [backup-simplify]: Simplify 0 into 0
3.939 * [backup-simplify]: Simplify 1 into 1
3.939 * [taylor]: Taking taylor expansion of x.re in y.im
3.939 * [backup-simplify]: Simplify x.re into x.re
3.939 * [backup-simplify]: Simplify (* 0 x.re) into 0
3.939 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
3.939 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
3.939 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.im
3.939 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
3.939 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
3.939 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
3.939 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
3.939 * [taylor]: Taking taylor expansion of y.re in y.im
3.939 * [backup-simplify]: Simplify y.re into y.re
3.939 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.940 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
3.940 * [taylor]: Taking taylor expansion of y.re in y.im
3.940 * [backup-simplify]: Simplify y.re into y.re
3.940 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.940 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
3.940 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
3.940 * [taylor]: Taking taylor expansion of y.im in y.im
3.940 * [backup-simplify]: Simplify 0 into 0
3.940 * [backup-simplify]: Simplify 1 into 1
3.940 * [backup-simplify]: Simplify (/ 1 1) into 1
3.940 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
3.940 * [taylor]: Taking taylor expansion of y.im in y.im
3.940 * [backup-simplify]: Simplify 0 into 0
3.940 * [backup-simplify]: Simplify 1 into 1
3.941 * [backup-simplify]: Simplify (/ 1 1) into 1
3.941 * [backup-simplify]: Simplify (* 1 1) into 1
3.941 * [backup-simplify]: Simplify (+ 0 1) into 1
3.942 * [backup-simplify]: Simplify (sqrt 1) into 1
3.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.944 * [backup-simplify]: Simplify (+ 0 0) into 0
3.944 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.945 * [backup-simplify]: Simplify (- (/ 1 x.re)) into (- (/ 1 x.re))
3.945 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x.re))) into (- (/ 1 x.re))
3.945 * [backup-simplify]: Simplify (/ (- (/ 1 x.re)) 1) into (/ -1 x.re)
3.945 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ 1 y.re) (/ 1 y.im))) in x.re
3.945 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
3.945 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
3.945 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
3.945 * [taylor]: Taking taylor expansion of y.re in x.re
3.945 * [backup-simplify]: Simplify y.re into y.re
3.945 * [taylor]: Taking taylor expansion of x.im in x.re
3.945 * [backup-simplify]: Simplify x.im into x.im
3.945 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
3.945 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
3.945 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
3.945 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
3.945 * [taylor]: Taking taylor expansion of y.im in x.re
3.945 * [backup-simplify]: Simplify y.im into y.im
3.945 * [taylor]: Taking taylor expansion of x.re in x.re
3.945 * [backup-simplify]: Simplify 0 into 0
3.945 * [backup-simplify]: Simplify 1 into 1
3.945 * [backup-simplify]: Simplify (* y.im 0) into 0
3.946 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
3.946 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.946 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.re
3.946 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
3.946 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
3.946 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
3.946 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
3.946 * [taylor]: Taking taylor expansion of y.re in x.re
3.946 * [backup-simplify]: Simplify y.re into y.re
3.946 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.946 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
3.946 * [taylor]: Taking taylor expansion of y.re in x.re
3.946 * [backup-simplify]: Simplify y.re into y.re
3.946 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.946 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
3.946 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
3.946 * [taylor]: Taking taylor expansion of y.im in x.re
3.946 * [backup-simplify]: Simplify y.im into y.im
3.946 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.946 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
3.946 * [taylor]: Taking taylor expansion of y.im in x.re
3.947 * [backup-simplify]: Simplify y.im into y.im
3.947 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.947 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
3.947 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
3.947 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
3.947 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
3.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
3.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
3.948 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
3.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
3.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
3.948 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
3.948 * [backup-simplify]: Simplify (+ 0 0) into 0
3.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
3.949 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
3.949 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y.im))) into (- (/ 1 y.im))
3.949 * [backup-simplify]: Simplify (/ (- (/ 1 y.im)) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* -1 (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))
3.949 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ 1 y.re) (/ 1 y.im))) in y.re
3.949 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
3.949 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
3.949 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
3.949 * [taylor]: Taking taylor expansion of y.re in y.re
3.949 * [backup-simplify]: Simplify 0 into 0
3.949 * [backup-simplify]: Simplify 1 into 1
3.950 * [taylor]: Taking taylor expansion of x.im in y.re
3.950 * [backup-simplify]: Simplify x.im into x.im
3.950 * [backup-simplify]: Simplify (* 0 x.im) into 0
3.950 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
3.950 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
3.950 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
3.950 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
3.950 * [taylor]: Taking taylor expansion of y.im in y.re
3.950 * [backup-simplify]: Simplify y.im into y.im
3.950 * [taylor]: Taking taylor expansion of x.re in y.re
3.950 * [backup-simplify]: Simplify x.re into x.re
3.950 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
3.950 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
3.950 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
3.950 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
3.951 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
3.951 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
3.951 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
3.951 * [taylor]: Taking taylor expansion of y.re in y.re
3.951 * [backup-simplify]: Simplify 0 into 0
3.951 * [backup-simplify]: Simplify 1 into 1
3.951 * [backup-simplify]: Simplify (/ 1 1) into 1
3.951 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
3.951 * [taylor]: Taking taylor expansion of y.re in y.re
3.951 * [backup-simplify]: Simplify 0 into 0
3.951 * [backup-simplify]: Simplify 1 into 1
3.951 * [backup-simplify]: Simplify (/ 1 1) into 1
3.951 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
3.951 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
3.952 * [taylor]: Taking taylor expansion of y.im in y.re
3.952 * [backup-simplify]: Simplify y.im into y.im
3.952 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.952 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
3.952 * [taylor]: Taking taylor expansion of y.im in y.re
3.952 * [backup-simplify]: Simplify y.im into y.im
3.952 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.952 * [backup-simplify]: Simplify (* 1 1) into 1
3.952 * [backup-simplify]: Simplify (+ 1 0) into 1
3.953 * [backup-simplify]: Simplify (sqrt 1) into 1
3.953 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.955 * [backup-simplify]: Simplify (+ 0 0) into 0
3.956 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.956 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
3.956 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
3.956 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ 1 y.re) (/ 1 y.im))) in x.im
3.956 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
3.956 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
3.956 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
3.956 * [taylor]: Taking taylor expansion of y.re in x.im
3.956 * [backup-simplify]: Simplify y.re into y.re
3.956 * [taylor]: Taking taylor expansion of x.im in x.im
3.956 * [backup-simplify]: Simplify 0 into 0
3.956 * [backup-simplify]: Simplify 1 into 1
3.956 * [backup-simplify]: Simplify (* y.re 0) into 0
3.956 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
3.957 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.957 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
3.957 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
3.957 * [taylor]: Taking taylor expansion of y.im in x.im
3.957 * [backup-simplify]: Simplify y.im into y.im
3.957 * [taylor]: Taking taylor expansion of x.re in x.im
3.957 * [backup-simplify]: Simplify x.re into x.re
3.957 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
3.957 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
3.957 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.im
3.957 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
3.957 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
3.957 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
3.957 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
3.957 * [taylor]: Taking taylor expansion of y.re in x.im
3.957 * [backup-simplify]: Simplify y.re into y.re
3.957 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.957 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
3.957 * [taylor]: Taking taylor expansion of y.re in x.im
3.957 * [backup-simplify]: Simplify y.re into y.re
3.957 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.957 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
3.957 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
3.957 * [taylor]: Taking taylor expansion of y.im in x.im
3.957 * [backup-simplify]: Simplify y.im into y.im
3.957 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.958 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
3.958 * [taylor]: Taking taylor expansion of y.im in x.im
3.958 * [backup-simplify]: Simplify y.im into y.im
3.958 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.958 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
3.958 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
3.958 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
3.958 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
3.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
3.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
3.959 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
3.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
3.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
3.959 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
3.959 * [backup-simplify]: Simplify (+ 0 0) into 0
3.960 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
3.960 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
3.960 * [backup-simplify]: Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
3.960 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ 1 y.re) (/ 1 y.im))) in x.im
3.960 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
3.960 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
3.960 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
3.960 * [taylor]: Taking taylor expansion of y.re in x.im
3.960 * [backup-simplify]: Simplify y.re into y.re
3.960 * [taylor]: Taking taylor expansion of x.im in x.im
3.960 * [backup-simplify]: Simplify 0 into 0
3.961 * [backup-simplify]: Simplify 1 into 1
3.961 * [backup-simplify]: Simplify (* y.re 0) into 0
3.961 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
3.961 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.961 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
3.961 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
3.961 * [taylor]: Taking taylor expansion of y.im in x.im
3.961 * [backup-simplify]: Simplify y.im into y.im
3.961 * [taylor]: Taking taylor expansion of x.re in x.im
3.961 * [backup-simplify]: Simplify x.re into x.re
3.961 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
3.961 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
3.961 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.im
3.961 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
3.961 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
3.961 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
3.962 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
3.962 * [taylor]: Taking taylor expansion of y.re in x.im
3.962 * [backup-simplify]: Simplify y.re into y.re
3.962 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.962 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
3.962 * [taylor]: Taking taylor expansion of y.re in x.im
3.962 * [backup-simplify]: Simplify y.re into y.re
3.962 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.962 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
3.962 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
3.962 * [taylor]: Taking taylor expansion of y.im in x.im
3.962 * [backup-simplify]: Simplify y.im into y.im
3.962 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.962 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
3.962 * [taylor]: Taking taylor expansion of y.im in x.im
3.962 * [backup-simplify]: Simplify y.im into y.im
3.962 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.962 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
3.962 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
3.962 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
3.963 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
3.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
3.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
3.963 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
3.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
3.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
3.964 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
3.964 * [backup-simplify]: Simplify (+ 0 0) into 0
3.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
3.964 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
3.965 * [backup-simplify]: Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
3.965 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) in y.re
3.965 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re
3.965 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re
3.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
3.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
3.965 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
3.965 * [taylor]: Taking taylor expansion of y.im in y.re
3.965 * [backup-simplify]: Simplify y.im into y.im
3.965 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.965 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.965 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
3.965 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
3.965 * [taylor]: Taking taylor expansion of y.re in y.re
3.965 * [backup-simplify]: Simplify 0 into 0
3.965 * [backup-simplify]: Simplify 1 into 1
3.966 * [backup-simplify]: Simplify (* 1 1) into 1
3.966 * [backup-simplify]: Simplify (/ 1 1) into 1
3.966 * [backup-simplify]: Simplify (+ 0 1) into 1
3.967 * [backup-simplify]: Simplify (/ 1 1) into 1
3.967 * [backup-simplify]: Simplify (sqrt 1) into 1
3.968 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.968 * [backup-simplify]: Simplify (+ 0 0) into 0
3.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.970 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
3.970 * [taylor]: Taking taylor expansion of y.re in y.re
3.970 * [backup-simplify]: Simplify 0 into 0
3.970 * [backup-simplify]: Simplify 1 into 1
3.970 * [backup-simplify]: Simplify (/ 1 1) into 1
3.971 * [backup-simplify]: Simplify (* 1 1) into 1
3.971 * [taylor]: Taking taylor expansion of 1 in x.re
3.971 * [backup-simplify]: Simplify 1 into 1
3.971 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
3.971 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
3.971 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
3.972 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
3.973 * [backup-simplify]: Simplify (- (/ (- (/ 1 (* y.im x.re))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))
3.973 * [taylor]: Taking taylor expansion of (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) in y.re
3.973 * [taylor]: Taking taylor expansion of (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re
3.973 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
3.973 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
3.973 * [taylor]: Taking taylor expansion of y.im in y.re
3.973 * [backup-simplify]: Simplify y.im into y.im
3.973 * [taylor]: Taking taylor expansion of x.re in y.re
3.973 * [backup-simplify]: Simplify x.re into x.re
3.973 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
3.973 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
3.973 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re
3.973 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re
3.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
3.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
3.973 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
3.973 * [taylor]: Taking taylor expansion of y.im in y.re
3.973 * [backup-simplify]: Simplify y.im into y.im
3.973 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.974 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.974 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
3.974 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
3.974 * [taylor]: Taking taylor expansion of y.re in y.re
3.974 * [backup-simplify]: Simplify 0 into 0
3.974 * [backup-simplify]: Simplify 1 into 1
4.290 * [backup-simplify]: Simplify (* 1 1) into 1
4.290 * [backup-simplify]: Simplify (/ 1 1) into 1
4.290 * [backup-simplify]: Simplify (+ 0 1) into 1
4.291 * [backup-simplify]: Simplify (/ 1 1) into 1
4.291 * [backup-simplify]: Simplify (sqrt 1) into 1
4.291 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.292 * [backup-simplify]: Simplify (+ 0 0) into 0
4.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.294 * [taylor]: Taking taylor expansion of 0 in x.re
4.294 * [backup-simplify]: Simplify 0 into 0
4.294 * [taylor]: Taking taylor expansion of 1 in y.im
4.294 * [backup-simplify]: Simplify 1 into 1
4.294 * [backup-simplify]: Simplify 1 into 1
4.294 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.294 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.295 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
4.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
4.295 * [backup-simplify]: Simplify (- 0) into 0
4.295 * [backup-simplify]: Simplify (+ 0 0) into 0
4.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.296 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
4.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
4.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
4.296 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
4.296 * [backup-simplify]: Simplify (+ 0 0) into 0
4.297 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
4.298 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (* (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0
4.298 * [taylor]: Taking taylor expansion of 0 in y.re
4.298 * [backup-simplify]: Simplify 0 into 0
4.298 * [taylor]: Taking taylor expansion of 0 in x.re
4.298 * [backup-simplify]: Simplify 0 into 0
4.298 * [backup-simplify]: Simplify (* (/ 1 (* y.im x.re)) 1) into (/ 1 (* y.im x.re))
4.298 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
4.298 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in x.re
4.298 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
4.298 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
4.298 * [taylor]: Taking taylor expansion of y.im in x.re
4.298 * [backup-simplify]: Simplify y.im into y.im
4.298 * [taylor]: Taking taylor expansion of x.re in x.re
4.298 * [backup-simplify]: Simplify 0 into 0
4.298 * [backup-simplify]: Simplify 1 into 1
4.299 * [backup-simplify]: Simplify (* y.im 0) into 0
4.299 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
4.299 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.299 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
4.299 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im
4.299 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
4.299 * [taylor]: Taking taylor expansion of y.im in y.im
4.299 * [backup-simplify]: Simplify 0 into 0
4.299 * [backup-simplify]: Simplify 1 into 1
4.299 * [backup-simplify]: Simplify (/ 1 1) into 1
4.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.300 * [backup-simplify]: Simplify (- 0) into 0
4.300 * [backup-simplify]: Simplify 0 into 0
4.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.302 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2))
4.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
4.303 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2))
4.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 2)) 1))) into (- (* 1/2 (/ 1 (pow y.im 2))))
4.304 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.re
4.304 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.re
4.304 * [taylor]: Taking taylor expansion of 1/2 in x.re
4.304 * [backup-simplify]: Simplify 1/2 into 1/2
4.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
4.304 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
4.304 * [taylor]: Taking taylor expansion of y.im in x.re
4.304 * [backup-simplify]: Simplify y.im into y.im
4.304 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
4.304 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
4.304 * [taylor]: Taking taylor expansion of 0 in y.im
4.304 * [backup-simplify]: Simplify 0 into 0
4.304 * [backup-simplify]: Simplify 0 into 0
4.304 * [taylor]: Taking taylor expansion of 0 in y.im
4.304 * [backup-simplify]: Simplify 0 into 0
4.304 * [backup-simplify]: Simplify 0 into 0
4.304 * [backup-simplify]: Simplify 0 into 0
4.305 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.305 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
4.305 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
4.306 * [backup-simplify]: Simplify (- 0) into 0
4.306 * [backup-simplify]: Simplify (+ 0 0) into 0
4.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.307 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.re))))) into 0
4.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
4.307 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
4.308 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.im))))) into 0
4.308 * [backup-simplify]: Simplify (+ 0 0) into 0
4.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
4.310 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (* (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0
4.310 * [taylor]: Taking taylor expansion of 0 in y.re
4.310 * [backup-simplify]: Simplify 0 into 0
4.310 * [taylor]: Taking taylor expansion of 0 in x.re
4.310 * [backup-simplify]: Simplify 0 into 0
4.310 * [taylor]: Taking taylor expansion of 0 in x.re
4.310 * [backup-simplify]: Simplify 0 into 0
4.310 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
4.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
4.311 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.im x.re)) 0) (* 0 1)) into 0
4.311 * [backup-simplify]: Simplify (- 0) into 0
4.311 * [taylor]: Taking taylor expansion of 0 in x.re
4.311 * [backup-simplify]: Simplify 0 into 0
4.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.312 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
4.312 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
4.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.313 * [backup-simplify]: Simplify (+ 0 0) into 0
4.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
4.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0
4.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y.im 2)) 0) (* 0 1)))) into 0
4.315 * [taylor]: Taking taylor expansion of 0 in x.re
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [taylor]: Taking taylor expansion of 0 in y.im
4.315 * [backup-simplify]: Simplify 0 into 0
4.315 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
4.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
4.316 * [backup-simplify]: Simplify (- 0) into 0
4.316 * [taylor]: Taking taylor expansion of 0 in y.im
4.316 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify 0 into 0
4.316 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 x.im)))))) into x.im
4.317 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x.im)) (/ 1 (- y.re))) (* (/ 1 (- x.re)) (/ 1 (- y.im)))) (hypot (/ 1 (- y.re)) (/ 1 (- y.im)))) into (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ -1 y.re) (/ -1 y.im)))
4.317 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ -1 y.re) (/ -1 y.im))) in (x.im y.re x.re y.im) around 0
4.317 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ -1 y.re) (/ -1 y.im))) in y.im
4.317 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
4.317 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
4.317 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
4.317 * [taylor]: Taking taylor expansion of y.re in y.im
4.317 * [backup-simplify]: Simplify y.re into y.re
4.317 * [taylor]: Taking taylor expansion of x.im in y.im
4.317 * [backup-simplify]: Simplify x.im into x.im
4.317 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
4.317 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
4.317 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
4.317 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
4.317 * [taylor]: Taking taylor expansion of y.im in y.im
4.317 * [backup-simplify]: Simplify 0 into 0
4.317 * [backup-simplify]: Simplify 1 into 1
4.317 * [taylor]: Taking taylor expansion of x.re in y.im
4.317 * [backup-simplify]: Simplify x.re into x.re
4.317 * [backup-simplify]: Simplify (* 0 x.re) into 0
4.317 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
4.317 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
4.317 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.im
4.318 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
4.318 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.im
4.318 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.im
4.318 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
4.318 * [taylor]: Taking taylor expansion of -1 in y.im
4.318 * [backup-simplify]: Simplify -1 into -1
4.318 * [taylor]: Taking taylor expansion of y.re in y.im
4.318 * [backup-simplify]: Simplify y.re into y.re
4.318 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.318 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
4.318 * [taylor]: Taking taylor expansion of -1 in y.im
4.318 * [backup-simplify]: Simplify -1 into -1
4.318 * [taylor]: Taking taylor expansion of y.re in y.im
4.318 * [backup-simplify]: Simplify y.re into y.re
4.318 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.318 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.im
4.318 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
4.318 * [taylor]: Taking taylor expansion of -1 in y.im
4.318 * [backup-simplify]: Simplify -1 into -1
4.318 * [taylor]: Taking taylor expansion of y.im in y.im
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 1 into 1
4.318 * [backup-simplify]: Simplify (/ -1 1) into -1
4.318 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
4.318 * [taylor]: Taking taylor expansion of -1 in y.im
4.318 * [backup-simplify]: Simplify -1 into -1
4.318 * [taylor]: Taking taylor expansion of y.im in y.im
4.318 * [backup-simplify]: Simplify 0 into 0
4.318 * [backup-simplify]: Simplify 1 into 1
4.319 * [backup-simplify]: Simplify (/ -1 1) into -1
4.319 * [backup-simplify]: Simplify (* -1 -1) into 1
4.319 * [backup-simplify]: Simplify (+ 0 1) into 1
4.320 * [backup-simplify]: Simplify (sqrt 1) into 1
4.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.322 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.322 * [backup-simplify]: Simplify (+ 0 0) into 0
4.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.323 * [backup-simplify]: Simplify (- (/ 1 x.re)) into (- (/ 1 x.re))
4.323 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x.re))) into (- (/ 1 x.re))
4.323 * [backup-simplify]: Simplify (/ (- (/ 1 x.re)) 1) into (/ -1 x.re)
4.323 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ -1 y.re) (/ -1 y.im))) in x.re
4.323 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
4.323 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
4.323 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
4.323 * [taylor]: Taking taylor expansion of y.re in x.re
4.323 * [backup-simplify]: Simplify y.re into y.re
4.323 * [taylor]: Taking taylor expansion of x.im in x.re
4.323 * [backup-simplify]: Simplify x.im into x.im
4.323 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
4.323 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
4.323 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
4.323 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
4.323 * [taylor]: Taking taylor expansion of y.im in x.re
4.323 * [backup-simplify]: Simplify y.im into y.im
4.323 * [taylor]: Taking taylor expansion of x.re in x.re
4.323 * [backup-simplify]: Simplify 0 into 0
4.323 * [backup-simplify]: Simplify 1 into 1
4.323 * [backup-simplify]: Simplify (* y.im 0) into 0
4.323 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
4.323 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.323 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.re
4.324 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
4.324 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.re
4.324 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.re
4.324 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
4.324 * [taylor]: Taking taylor expansion of -1 in x.re
4.324 * [backup-simplify]: Simplify -1 into -1
4.324 * [taylor]: Taking taylor expansion of y.re in x.re
4.324 * [backup-simplify]: Simplify y.re into y.re
4.324 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.324 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
4.324 * [taylor]: Taking taylor expansion of -1 in x.re
4.324 * [backup-simplify]: Simplify -1 into -1
4.324 * [taylor]: Taking taylor expansion of y.re in x.re
4.324 * [backup-simplify]: Simplify y.re into y.re
4.324 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.324 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.re
4.324 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
4.324 * [taylor]: Taking taylor expansion of -1 in x.re
4.324 * [backup-simplify]: Simplify -1 into -1
4.324 * [taylor]: Taking taylor expansion of y.im in x.re
4.324 * [backup-simplify]: Simplify y.im into y.im
4.324 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.324 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
4.324 * [taylor]: Taking taylor expansion of -1 in x.re
4.324 * [backup-simplify]: Simplify -1 into -1
4.324 * [taylor]: Taking taylor expansion of y.im in x.re
4.324 * [backup-simplify]: Simplify y.im into y.im
4.324 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.324 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
4.324 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
4.324 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
4.325 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
4.325 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
4.325 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
4.325 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
4.325 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
4.325 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
4.325 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
4.325 * [backup-simplify]: Simplify (+ 0 0) into 0
4.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
4.326 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
4.326 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y.im))) into (- (/ 1 y.im))
4.326 * [backup-simplify]: Simplify (/ (- (/ 1 y.im)) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* -1 (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))
4.326 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
4.326 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
4.326 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
4.326 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
4.326 * [taylor]: Taking taylor expansion of y.re in y.re
4.326 * [backup-simplify]: Simplify 0 into 0
4.326 * [backup-simplify]: Simplify 1 into 1
4.326 * [taylor]: Taking taylor expansion of x.im in y.re
4.326 * [backup-simplify]: Simplify x.im into x.im
4.326 * [backup-simplify]: Simplify (* 0 x.im) into 0
4.327 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
4.327 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
4.327 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
4.327 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
4.327 * [taylor]: Taking taylor expansion of y.im in y.re
4.327 * [backup-simplify]: Simplify y.im into y.im
4.327 * [taylor]: Taking taylor expansion of x.re in y.re
4.327 * [backup-simplify]: Simplify x.re into x.re
4.327 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.327 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.327 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
4.327 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
4.327 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
4.327 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
4.327 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
4.327 * [taylor]: Taking taylor expansion of -1 in y.re
4.327 * [backup-simplify]: Simplify -1 into -1
4.327 * [taylor]: Taking taylor expansion of y.re in y.re
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify 1 into 1
4.327 * [backup-simplify]: Simplify (/ -1 1) into -1
4.327 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
4.327 * [taylor]: Taking taylor expansion of -1 in y.re
4.327 * [backup-simplify]: Simplify -1 into -1
4.327 * [taylor]: Taking taylor expansion of y.re in y.re
4.327 * [backup-simplify]: Simplify 0 into 0
4.327 * [backup-simplify]: Simplify 1 into 1
4.328 * [backup-simplify]: Simplify (/ -1 1) into -1
4.328 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
4.328 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
4.328 * [taylor]: Taking taylor expansion of -1 in y.re
4.328 * [backup-simplify]: Simplify -1 into -1
4.328 * [taylor]: Taking taylor expansion of y.im in y.re
4.328 * [backup-simplify]: Simplify y.im into y.im
4.328 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.328 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
4.328 * [taylor]: Taking taylor expansion of -1 in y.re
4.328 * [backup-simplify]: Simplify -1 into -1
4.328 * [taylor]: Taking taylor expansion of y.im in y.re
4.328 * [backup-simplify]: Simplify y.im into y.im
4.328 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.328 * [backup-simplify]: Simplify (* -1 -1) into 1
4.329 * [backup-simplify]: Simplify (+ 1 0) into 1
4.329 * [backup-simplify]: Simplify (sqrt 1) into 1
4.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.330 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.330 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.331 * [backup-simplify]: Simplify (+ 0 0) into 0
4.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.331 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
4.331 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
4.331 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ -1 y.re) (/ -1 y.im))) in x.im
4.331 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
4.331 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
4.331 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
4.331 * [taylor]: Taking taylor expansion of y.re in x.im
4.331 * [backup-simplify]: Simplify y.re into y.re
4.331 * [taylor]: Taking taylor expansion of x.im in x.im
4.331 * [backup-simplify]: Simplify 0 into 0
4.331 * [backup-simplify]: Simplify 1 into 1
4.331 * [backup-simplify]: Simplify (* y.re 0) into 0
4.332 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
4.332 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.332 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
4.332 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
4.332 * [taylor]: Taking taylor expansion of y.im in x.im
4.332 * [backup-simplify]: Simplify y.im into y.im
4.332 * [taylor]: Taking taylor expansion of x.re in x.im
4.332 * [backup-simplify]: Simplify x.re into x.re
4.332 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.332 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.332 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.im
4.332 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
4.332 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.im
4.332 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
4.332 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
4.332 * [taylor]: Taking taylor expansion of -1 in x.im
4.332 * [backup-simplify]: Simplify -1 into -1
4.332 * [taylor]: Taking taylor expansion of y.re in x.im
4.332 * [backup-simplify]: Simplify y.re into y.re
4.332 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.332 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
4.332 * [taylor]: Taking taylor expansion of -1 in x.im
4.332 * [backup-simplify]: Simplify -1 into -1
4.332 * [taylor]: Taking taylor expansion of y.re in x.im
4.332 * [backup-simplify]: Simplify y.re into y.re
4.332 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.332 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.im
4.332 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
4.332 * [taylor]: Taking taylor expansion of -1 in x.im
4.332 * [backup-simplify]: Simplify -1 into -1
4.332 * [taylor]: Taking taylor expansion of y.im in x.im
4.332 * [backup-simplify]: Simplify y.im into y.im
4.332 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.332 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
4.332 * [taylor]: Taking taylor expansion of -1 in x.im
4.332 * [backup-simplify]: Simplify -1 into -1
4.332 * [taylor]: Taking taylor expansion of y.im in x.im
4.332 * [backup-simplify]: Simplify y.im into y.im
4.332 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.332 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
4.333 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
4.333 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
4.333 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
4.333 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
4.333 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
4.333 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
4.333 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
4.333 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
4.333 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
4.334 * [backup-simplify]: Simplify (+ 0 0) into 0
4.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
4.334 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
4.334 * [backup-simplify]: Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
4.334 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ -1 y.re) (/ -1 y.im))) in x.im
4.334 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
4.334 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
4.334 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
4.334 * [taylor]: Taking taylor expansion of y.re in x.im
4.334 * [backup-simplify]: Simplify y.re into y.re
4.334 * [taylor]: Taking taylor expansion of x.im in x.im
4.334 * [backup-simplify]: Simplify 0 into 0
4.334 * [backup-simplify]: Simplify 1 into 1
4.334 * [backup-simplify]: Simplify (* y.re 0) into 0
4.335 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
4.335 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.335 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
4.335 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
4.335 * [taylor]: Taking taylor expansion of y.im in x.im
4.335 * [backup-simplify]: Simplify y.im into y.im
4.335 * [taylor]: Taking taylor expansion of x.re in x.im
4.335 * [backup-simplify]: Simplify x.re into x.re
4.335 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.335 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.335 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.im
4.335 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
4.335 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.im
4.335 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
4.335 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
4.335 * [taylor]: Taking taylor expansion of -1 in x.im
4.335 * [backup-simplify]: Simplify -1 into -1
4.335 * [taylor]: Taking taylor expansion of y.re in x.im
4.335 * [backup-simplify]: Simplify y.re into y.re
4.335 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.335 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
4.335 * [taylor]: Taking taylor expansion of -1 in x.im
4.335 * [backup-simplify]: Simplify -1 into -1
4.335 * [taylor]: Taking taylor expansion of y.re in x.im
4.335 * [backup-simplify]: Simplify y.re into y.re
4.335 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.335 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.im
4.335 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
4.335 * [taylor]: Taking taylor expansion of -1 in x.im
4.335 * [backup-simplify]: Simplify -1 into -1
4.335 * [taylor]: Taking taylor expansion of y.im in x.im
4.335 * [backup-simplify]: Simplify y.im into y.im
4.335 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.335 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
4.335 * [taylor]: Taking taylor expansion of -1 in x.im
4.335 * [backup-simplify]: Simplify -1 into -1
4.336 * [taylor]: Taking taylor expansion of y.im in x.im
4.336 * [backup-simplify]: Simplify y.im into y.im
4.336 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.336 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
4.336 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
4.336 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
4.336 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
4.336 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
4.336 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
4.336 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
4.336 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
4.336 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
4.337 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
4.337 * [backup-simplify]: Simplify (+ 0 0) into 0
4.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
4.337 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
4.337 * [backup-simplify]: Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
4.337 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) in y.re
4.337 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re
4.337 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re
4.337 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
4.337 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
4.337 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
4.338 * [taylor]: Taking taylor expansion of y.im in y.re
4.338 * [backup-simplify]: Simplify y.im into y.im
4.338 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
4.338 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
4.338 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
4.338 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
4.338 * [taylor]: Taking taylor expansion of y.re in y.re
4.338 * [backup-simplify]: Simplify 0 into 0
4.338 * [backup-simplify]: Simplify 1 into 1
4.338 * [backup-simplify]: Simplify (* 1 1) into 1
4.338 * [backup-simplify]: Simplify (/ 1 1) into 1
4.338 * [backup-simplify]: Simplify (+ 0 1) into 1
4.339 * [backup-simplify]: Simplify (/ 1 1) into 1
4.339 * [backup-simplify]: Simplify (sqrt 1) into 1
4.339 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.341 * [backup-simplify]: Simplify (+ 0 0) into 0
4.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.341 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
4.341 * [taylor]: Taking taylor expansion of y.re in y.re
4.341 * [backup-simplify]: Simplify 0 into 0
4.341 * [backup-simplify]: Simplify 1 into 1
4.342 * [backup-simplify]: Simplify (/ 1 1) into 1
4.342 * [backup-simplify]: Simplify (* 1 1) into 1
4.342 * [taylor]: Taking taylor expansion of 1 in x.re
4.342 * [backup-simplify]: Simplify 1 into 1
4.342 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
4.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
4.343 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
4.343 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
4.343 * [backup-simplify]: Simplify (- (/ (- (/ 1 (* y.im x.re))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))
4.343 * [taylor]: Taking taylor expansion of (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) in y.re
4.343 * [taylor]: Taking taylor expansion of (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re
4.343 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
4.343 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
4.343 * [taylor]: Taking taylor expansion of y.im in y.re
4.343 * [backup-simplify]: Simplify y.im into y.im
4.343 * [taylor]: Taking taylor expansion of x.re in y.re
4.343 * [backup-simplify]: Simplify x.re into x.re
4.344 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.344 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.344 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re
4.344 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re
4.344 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
4.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
4.344 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
4.344 * [taylor]: Taking taylor expansion of y.im in y.re
4.344 * [backup-simplify]: Simplify y.im into y.im
4.344 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
4.344 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
4.344 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
4.344 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
4.344 * [taylor]: Taking taylor expansion of y.re in y.re
4.344 * [backup-simplify]: Simplify 0 into 0
4.344 * [backup-simplify]: Simplify 1 into 1
4.344 * [backup-simplify]: Simplify (* 1 1) into 1
4.344 * [backup-simplify]: Simplify (/ 1 1) into 1
4.345 * [backup-simplify]: Simplify (+ 0 1) into 1
4.345 * [backup-simplify]: Simplify (/ 1 1) into 1
4.345 * [backup-simplify]: Simplify (sqrt 1) into 1
4.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.346 * [backup-simplify]: Simplify (+ 0 0) into 0
4.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.348 * [taylor]: Taking taylor expansion of 0 in x.re
4.348 * [backup-simplify]: Simplify 0 into 0
4.348 * [taylor]: Taking taylor expansion of 1 in y.im
4.348 * [backup-simplify]: Simplify 1 into 1
4.348 * [backup-simplify]: Simplify 1 into 1
4.349 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.349 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
4.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
4.349 * [backup-simplify]: Simplify (- 0) into 0
4.349 * [backup-simplify]: Simplify (+ 0 0) into 0
4.350 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.350 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.350 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (* 0 (/ -1 y.re)))) into 0
4.350 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
4.350 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
4.351 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
4.351 * [backup-simplify]: Simplify (+ 0 0) into 0
4.352 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
4.353 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (* (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0
4.353 * [taylor]: Taking taylor expansion of 0 in y.re
4.353 * [backup-simplify]: Simplify 0 into 0
4.353 * [taylor]: Taking taylor expansion of 0 in x.re
4.353 * [backup-simplify]: Simplify 0 into 0
4.353 * [backup-simplify]: Simplify (* (/ 1 (* y.im x.re)) 1) into (/ 1 (* y.im x.re))
4.353 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
4.353 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in x.re
4.353 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
4.353 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
4.353 * [taylor]: Taking taylor expansion of y.im in x.re
4.353 * [backup-simplify]: Simplify y.im into y.im
4.353 * [taylor]: Taking taylor expansion of x.re in x.re
4.353 * [backup-simplify]: Simplify 0 into 0
4.353 * [backup-simplify]: Simplify 1 into 1
4.353 * [backup-simplify]: Simplify (* y.im 0) into 0
4.353 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
4.353 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.353 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
4.353 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im
4.353 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
4.353 * [taylor]: Taking taylor expansion of y.im in y.im
4.354 * [backup-simplify]: Simplify 0 into 0
4.354 * [backup-simplify]: Simplify 1 into 1
4.354 * [backup-simplify]: Simplify (/ 1 1) into 1
4.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.354 * [backup-simplify]: Simplify (- 0) into 0
4.354 * [backup-simplify]: Simplify 0 into 0
4.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.356 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2))
4.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
4.357 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2))
4.358 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 2)) 1))) into (- (* 1/2 (/ 1 (pow y.im 2))))
4.358 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.re
4.358 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.re
4.358 * [taylor]: Taking taylor expansion of 1/2 in x.re
4.358 * [backup-simplify]: Simplify 1/2 into 1/2
4.358 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
4.358 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
4.358 * [taylor]: Taking taylor expansion of y.im in x.re
4.358 * [backup-simplify]: Simplify y.im into y.im
4.358 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
4.358 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
4.358 * [taylor]: Taking taylor expansion of 0 in y.im
4.358 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify 0 into 0
4.358 * [taylor]: Taking taylor expansion of 0 in y.im
4.358 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify 0 into 0
4.358 * [backup-simplify]: Simplify 0 into 0
4.359 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.359 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.360 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
4.360 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
4.360 * [backup-simplify]: Simplify (- 0) into 0
4.360 * [backup-simplify]: Simplify (+ 0 0) into 0
4.361 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.361 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.361 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.re))))) into 0
4.361 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
4.362 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
4.362 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.im))))) into 0
4.362 * [backup-simplify]: Simplify (+ 0 0) into 0
4.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
4.364 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (* (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0
4.364 * [taylor]: Taking taylor expansion of 0 in y.re
4.364 * [backup-simplify]: Simplify 0 into 0
4.364 * [taylor]: Taking taylor expansion of 0 in x.re
4.364 * [backup-simplify]: Simplify 0 into 0
4.364 * [taylor]: Taking taylor expansion of 0 in x.re
4.365 * [backup-simplify]: Simplify 0 into 0
4.365 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
4.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
4.365 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.im x.re)) 0) (* 0 1)) into 0
4.365 * [backup-simplify]: Simplify (- 0) into 0
4.365 * [taylor]: Taking taylor expansion of 0 in x.re
4.365 * [backup-simplify]: Simplify 0 into 0
4.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.366 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
4.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
4.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.368 * [backup-simplify]: Simplify (+ 0 0) into 0
4.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
4.369 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0
4.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y.im 2)) 0) (* 0 1)))) into 0
4.370 * [taylor]: Taking taylor expansion of 0 in x.re
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [taylor]: Taking taylor expansion of 0 in y.im
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify 0 into 0
4.370 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
4.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
4.371 * [backup-simplify]: Simplify (- 0) into 0
4.371 * [taylor]: Taking taylor expansion of 0 in y.im
4.371 * [backup-simplify]: Simplify 0 into 0
4.371 * [backup-simplify]: Simplify 0 into 0
4.371 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x.im))))))) into (* -1 x.im)
4.371 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1)
4.371 * [backup-simplify]: Simplify (- (* x.im y.re) (* x.re y.im)) into (- (* y.re x.im) (* y.im x.re))
4.371 * [approximate]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in (x.im y.re x.re y.im) around 0
4.371 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.im
4.371 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
4.371 * [taylor]: Taking taylor expansion of y.re in y.im
4.371 * [backup-simplify]: Simplify y.re into y.re
4.371 * [taylor]: Taking taylor expansion of x.im in y.im
4.371 * [backup-simplify]: Simplify x.im into x.im
4.371 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
4.371 * [taylor]: Taking taylor expansion of y.im in y.im
4.371 * [backup-simplify]: Simplify 0 into 0
4.371 * [backup-simplify]: Simplify 1 into 1
4.371 * [taylor]: Taking taylor expansion of x.re in y.im
4.371 * [backup-simplify]: Simplify x.re into x.re
4.371 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.re
4.371 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
4.371 * [taylor]: Taking taylor expansion of y.re in x.re
4.371 * [backup-simplify]: Simplify y.re into y.re
4.371 * [taylor]: Taking taylor expansion of x.im in x.re
4.371 * [backup-simplify]: Simplify x.im into x.im
4.371 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
4.371 * [taylor]: Taking taylor expansion of y.im in x.re
4.371 * [backup-simplify]: Simplify y.im into y.im
4.371 * [taylor]: Taking taylor expansion of x.re in x.re
4.371 * [backup-simplify]: Simplify 0 into 0
4.371 * [backup-simplify]: Simplify 1 into 1
4.371 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.re
4.371 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
4.371 * [taylor]: Taking taylor expansion of y.re in y.re
4.371 * [backup-simplify]: Simplify 0 into 0
4.371 * [backup-simplify]: Simplify 1 into 1
4.371 * [taylor]: Taking taylor expansion of x.im in y.re
4.372 * [backup-simplify]: Simplify x.im into x.im
4.372 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
4.372 * [taylor]: Taking taylor expansion of y.im in y.re
4.372 * [backup-simplify]: Simplify y.im into y.im
4.372 * [taylor]: Taking taylor expansion of x.re in y.re
4.372 * [backup-simplify]: Simplify x.re into x.re
4.372 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
4.372 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
4.372 * [taylor]: Taking taylor expansion of y.re in x.im
4.372 * [backup-simplify]: Simplify y.re into y.re
4.372 * [taylor]: Taking taylor expansion of x.im in x.im
4.372 * [backup-simplify]: Simplify 0 into 0
4.372 * [backup-simplify]: Simplify 1 into 1
4.372 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
4.372 * [taylor]: Taking taylor expansion of y.im in x.im
4.372 * [backup-simplify]: Simplify y.im into y.im
4.372 * [taylor]: Taking taylor expansion of x.re in x.im
4.372 * [backup-simplify]: Simplify x.re into x.re
4.372 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
4.372 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
4.372 * [taylor]: Taking taylor expansion of y.re in x.im
4.372 * [backup-simplify]: Simplify y.re into y.re
4.372 * [taylor]: Taking taylor expansion of x.im in x.im
4.372 * [backup-simplify]: Simplify 0 into 0
4.372 * [backup-simplify]: Simplify 1 into 1
4.372 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
4.372 * [taylor]: Taking taylor expansion of y.im in x.im
4.372 * [backup-simplify]: Simplify y.im into y.im
4.372 * [taylor]: Taking taylor expansion of x.re in x.im
4.372 * [backup-simplify]: Simplify x.re into x.re
4.372 * [backup-simplify]: Simplify (* y.re 0) into 0
4.372 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.372 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
4.372 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
4.372 * [taylor]: Taking taylor expansion of (- (* y.im x.re)) in y.re
4.372 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
4.372 * [taylor]: Taking taylor expansion of y.im in y.re
4.372 * [backup-simplify]: Simplify y.im into y.im
4.372 * [taylor]: Taking taylor expansion of x.re in y.re
4.372 * [backup-simplify]: Simplify x.re into x.re
4.372 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.372 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
4.372 * [taylor]: Taking taylor expansion of (- (* y.im x.re)) in x.re
4.372 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
4.372 * [taylor]: Taking taylor expansion of y.im in x.re
4.372 * [backup-simplify]: Simplify y.im into y.im
4.372 * [taylor]: Taking taylor expansion of x.re in x.re
4.372 * [backup-simplify]: Simplify 0 into 0
4.372 * [backup-simplify]: Simplify 1 into 1
4.372 * [backup-simplify]: Simplify (* y.im 0) into 0
4.373 * [backup-simplify]: Simplify (- 0) into 0
4.373 * [taylor]: Taking taylor expansion of 0 in y.im
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
4.373 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
4.373 * [backup-simplify]: Simplify (- 0) into 0
4.373 * [backup-simplify]: Simplify (+ y.re 0) into y.re
4.373 * [taylor]: Taking taylor expansion of y.re in y.re
4.373 * [backup-simplify]: Simplify 0 into 0
4.373 * [backup-simplify]: Simplify 1 into 1
4.373 * [taylor]: Taking taylor expansion of 0 in x.re
4.373 * [backup-simplify]: Simplify 0 into 0
4.374 * [taylor]: Taking taylor expansion of 0 in y.im
4.374 * [backup-simplify]: Simplify 0 into 0
4.374 * [backup-simplify]: Simplify 0 into 0
4.374 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
4.374 * [backup-simplify]: Simplify (- 0) into 0
4.374 * [taylor]: Taking taylor expansion of 0 in x.re
4.374 * [backup-simplify]: Simplify 0 into 0
4.374 * [taylor]: Taking taylor expansion of 0 in y.im
4.374 * [backup-simplify]: Simplify 0 into 0
4.374 * [backup-simplify]: Simplify 0 into 0
4.374 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
4.374 * [backup-simplify]: Simplify (- y.im) into (- y.im)
4.374 * [taylor]: Taking taylor expansion of (- y.im) in y.im
4.374 * [taylor]: Taking taylor expansion of y.im in y.im
4.374 * [backup-simplify]: Simplify 0 into 0
4.374 * [backup-simplify]: Simplify 1 into 1
4.375 * [backup-simplify]: Simplify (- 0) into 0
4.375 * [backup-simplify]: Simplify 0 into 0
4.375 * [backup-simplify]: Simplify 0 into 0
4.375 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
4.375 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
4.376 * [backup-simplify]: Simplify (- 0) into 0
4.376 * [backup-simplify]: Simplify (+ 0 0) into 0
4.376 * [taylor]: Taking taylor expansion of 0 in y.re
4.376 * [backup-simplify]: Simplify 0 into 0
4.376 * [taylor]: Taking taylor expansion of 0 in x.re
4.376 * [backup-simplify]: Simplify 0 into 0
4.376 * [taylor]: Taking taylor expansion of 0 in y.im
4.376 * [backup-simplify]: Simplify 0 into 0
4.376 * [backup-simplify]: Simplify 0 into 0
4.376 * [backup-simplify]: Simplify 0 into 0
4.376 * [backup-simplify]: Simplify (- (* (/ 1 x.im) (/ 1 y.re)) (* (/ 1 x.re) (/ 1 y.im))) into (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re)))
4.376 * [approximate]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in (x.im y.re x.re y.im) around 0
4.376 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
4.376 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
4.376 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
4.376 * [taylor]: Taking taylor expansion of y.re in y.im
4.376 * [backup-simplify]: Simplify y.re into y.re
4.376 * [taylor]: Taking taylor expansion of x.im in y.im
4.376 * [backup-simplify]: Simplify x.im into x.im
4.376 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
4.376 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
4.376 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
4.376 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
4.376 * [taylor]: Taking taylor expansion of y.im in y.im
4.376 * [backup-simplify]: Simplify 0 into 0
4.376 * [backup-simplify]: Simplify 1 into 1
4.376 * [taylor]: Taking taylor expansion of x.re in y.im
4.376 * [backup-simplify]: Simplify x.re into x.re
4.376 * [backup-simplify]: Simplify (* 0 x.re) into 0
4.377 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
4.377 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
4.377 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
4.377 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
4.377 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
4.377 * [taylor]: Taking taylor expansion of y.re in x.re
4.377 * [backup-simplify]: Simplify y.re into y.re
4.377 * [taylor]: Taking taylor expansion of x.im in x.re
4.377 * [backup-simplify]: Simplify x.im into x.im
4.377 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
4.377 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
4.377 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
4.377 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
4.377 * [taylor]: Taking taylor expansion of y.im in x.re
4.377 * [backup-simplify]: Simplify y.im into y.im
4.377 * [taylor]: Taking taylor expansion of x.re in x.re
4.377 * [backup-simplify]: Simplify 0 into 0
4.377 * [backup-simplify]: Simplify 1 into 1
4.377 * [backup-simplify]: Simplify (* y.im 0) into 0
4.377 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
4.377 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.377 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
4.377 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
4.377 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
4.378 * [taylor]: Taking taylor expansion of y.re in y.re
4.378 * [backup-simplify]: Simplify 0 into 0
4.378 * [backup-simplify]: Simplify 1 into 1
4.378 * [taylor]: Taking taylor expansion of x.im in y.re
4.378 * [backup-simplify]: Simplify x.im into x.im
4.378 * [backup-simplify]: Simplify (* 0 x.im) into 0
4.378 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
4.378 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
4.378 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
4.378 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
4.378 * [taylor]: Taking taylor expansion of y.im in y.re
4.378 * [backup-simplify]: Simplify y.im into y.im
4.378 * [taylor]: Taking taylor expansion of x.re in y.re
4.378 * [backup-simplify]: Simplify x.re into x.re
4.378 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.378 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.378 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
4.378 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
4.378 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
4.378 * [taylor]: Taking taylor expansion of y.re in x.im
4.378 * [backup-simplify]: Simplify y.re into y.re
4.378 * [taylor]: Taking taylor expansion of x.im in x.im
4.378 * [backup-simplify]: Simplify 0 into 0
4.378 * [backup-simplify]: Simplify 1 into 1
4.378 * [backup-simplify]: Simplify (* y.re 0) into 0
4.378 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
4.379 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.379 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
4.379 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
4.379 * [taylor]: Taking taylor expansion of y.im in x.im
4.379 * [backup-simplify]: Simplify y.im into y.im
4.379 * [taylor]: Taking taylor expansion of x.re in x.im
4.379 * [backup-simplify]: Simplify x.re into x.re
4.379 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.379 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.379 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
4.379 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
4.379 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
4.379 * [taylor]: Taking taylor expansion of y.re in x.im
4.379 * [backup-simplify]: Simplify y.re into y.re
4.379 * [taylor]: Taking taylor expansion of x.im in x.im
4.379 * [backup-simplify]: Simplify 0 into 0
4.379 * [backup-simplify]: Simplify 1 into 1
4.379 * [backup-simplify]: Simplify (* y.re 0) into 0
4.379 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
4.379 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.379 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
4.379 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
4.379 * [taylor]: Taking taylor expansion of y.im in x.im
4.379 * [backup-simplify]: Simplify y.im into y.im
4.379 * [taylor]: Taking taylor expansion of x.re in x.im
4.379 * [backup-simplify]: Simplify x.re into x.re
4.379 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.379 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.379 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
4.380 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
4.380 * [taylor]: Taking taylor expansion of y.re in y.re
4.380 * [backup-simplify]: Simplify 0 into 0
4.380 * [backup-simplify]: Simplify 1 into 1
4.380 * [backup-simplify]: Simplify (/ 1 1) into 1
4.380 * [taylor]: Taking taylor expansion of 1 in x.re
4.380 * [backup-simplify]: Simplify 1 into 1
4.380 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
4.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
4.381 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
4.381 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
4.381 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in y.re
4.381 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
4.381 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
4.381 * [taylor]: Taking taylor expansion of y.im in y.re
4.381 * [backup-simplify]: Simplify y.im into y.im
4.381 * [taylor]: Taking taylor expansion of x.re in y.re
4.381 * [backup-simplify]: Simplify x.re into x.re
4.381 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.381 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.381 * [taylor]: Taking taylor expansion of 0 in x.re
4.381 * [backup-simplify]: Simplify 0 into 0
4.381 * [taylor]: Taking taylor expansion of 1 in y.im
4.381 * [backup-simplify]: Simplify 1 into 1
4.382 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.382 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
4.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
4.382 * [backup-simplify]: Simplify (- 0) into 0
4.383 * [backup-simplify]: Simplify (+ 0 0) into 0
4.383 * [taylor]: Taking taylor expansion of 0 in y.re
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
4.383 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in x.re
4.383 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
4.383 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
4.383 * [taylor]: Taking taylor expansion of y.im in x.re
4.383 * [backup-simplify]: Simplify y.im into y.im
4.383 * [taylor]: Taking taylor expansion of x.re in x.re
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [backup-simplify]: Simplify 1 into 1
4.383 * [backup-simplify]: Simplify (* y.im 0) into 0
4.383 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
4.383 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.383 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
4.383 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im
4.383 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
4.383 * [taylor]: Taking taylor expansion of y.im in y.im
4.383 * [backup-simplify]: Simplify 0 into 0
4.383 * [backup-simplify]: Simplify 1 into 1
4.384 * [backup-simplify]: Simplify (/ 1 1) into 1
4.384 * [backup-simplify]: Simplify (- 1) into -1
4.384 * [backup-simplify]: Simplify -1 into -1
4.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.384 * [taylor]: Taking taylor expansion of 0 in x.re
4.384 * [backup-simplify]: Simplify 0 into 0
4.384 * [taylor]: Taking taylor expansion of 0 in y.im
4.385 * [backup-simplify]: Simplify 0 into 0
4.385 * [taylor]: Taking taylor expansion of 0 in y.im
4.385 * [backup-simplify]: Simplify 0 into 0
4.385 * [backup-simplify]: Simplify 1 into 1
4.385 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.386 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
4.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
4.386 * [backup-simplify]: Simplify (- 0) into 0
4.386 * [backup-simplify]: Simplify (+ 0 0) into 0
4.386 * [taylor]: Taking taylor expansion of 0 in y.re
4.386 * [backup-simplify]: Simplify 0 into 0
4.386 * [taylor]: Taking taylor expansion of 0 in x.re
4.386 * [backup-simplify]: Simplify 0 into 0
4.386 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
4.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
4.387 * [backup-simplify]: Simplify (- 0) into 0
4.387 * [taylor]: Taking taylor expansion of 0 in x.re
4.387 * [backup-simplify]: Simplify 0 into 0
4.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.387 * [taylor]: Taking taylor expansion of 0 in x.re
4.387 * [backup-simplify]: Simplify 0 into 0
4.388 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
4.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
4.388 * [backup-simplify]: Simplify (- 0) into 0
4.388 * [taylor]: Taking taylor expansion of 0 in y.im
4.388 * [backup-simplify]: Simplify 0 into 0
4.388 * [taylor]: Taking taylor expansion of 0 in y.im
4.388 * [backup-simplify]: Simplify 0 into 0
4.388 * [taylor]: Taking taylor expansion of 0 in y.im
4.388 * [backup-simplify]: Simplify 0 into 0
4.388 * [taylor]: Taking taylor expansion of 0 in y.im
4.388 * [backup-simplify]: Simplify 0 into 0
4.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.389 * [backup-simplify]: Simplify (- 0) into 0
4.389 * [backup-simplify]: Simplify 0 into 0
4.389 * [backup-simplify]: Simplify 0 into 0
4.389 * [backup-simplify]: Simplify 0 into 0
4.389 * [backup-simplify]: Simplify 0 into 0
4.394 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
4.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.395 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
4.396 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
4.396 * [backup-simplify]: Simplify (- 0) into 0
4.396 * [backup-simplify]: Simplify (+ 0 0) into 0
4.396 * [taylor]: Taking taylor expansion of 0 in y.re
4.396 * [backup-simplify]: Simplify 0 into 0
4.396 * [taylor]: Taking taylor expansion of 0 in x.re
4.396 * [backup-simplify]: Simplify 0 into 0
4.397 * [taylor]: Taking taylor expansion of 0 in x.re
4.397 * [backup-simplify]: Simplify 0 into 0
4.397 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
4.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
4.398 * [backup-simplify]: Simplify (- 0) into 0
4.398 * [taylor]: Taking taylor expansion of 0 in x.re
4.398 * [backup-simplify]: Simplify 0 into 0
4.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.399 * [taylor]: Taking taylor expansion of 0 in x.re
4.399 * [backup-simplify]: Simplify 0 into 0
4.399 * [taylor]: Taking taylor expansion of 0 in y.im
4.399 * [backup-simplify]: Simplify 0 into 0
4.399 * [taylor]: Taking taylor expansion of 0 in y.im
4.399 * [backup-simplify]: Simplify 0 into 0
4.399 * [taylor]: Taking taylor expansion of 0 in y.im
4.399 * [backup-simplify]: Simplify 0 into 0
4.400 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
4.401 * [backup-simplify]: Simplify (- 0) into 0
4.401 * [taylor]: Taking taylor expansion of 0 in y.im
4.401 * [backup-simplify]: Simplify 0 into 0
4.401 * [taylor]: Taking taylor expansion of 0 in y.im
4.401 * [backup-simplify]: Simplify 0 into 0
4.401 * [taylor]: Taking taylor expansion of 0 in y.im
4.401 * [backup-simplify]: Simplify 0 into 0
4.401 * [taylor]: Taking taylor expansion of 0 in y.im
4.401 * [backup-simplify]: Simplify 0 into 0
4.401 * [backup-simplify]: Simplify 0 into 0
4.401 * [backup-simplify]: Simplify 0 into 0
4.402 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 y.re)) (/ 1 (/ 1 x.im)))))) (* -1 (* (/ 1 (/ 1 y.im)) (* (/ 1 (/ 1 x.re)) (* 1 1))))) into (- (* y.re x.im) (* y.im x.re))
4.402 * [backup-simplify]: Simplify (- (* (/ 1 (- x.im)) (/ 1 (- y.re))) (* (/ 1 (- x.re)) (/ 1 (- y.im)))) into (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re)))
4.402 * [approximate]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in (x.im y.re x.re y.im) around 0
4.402 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
4.402 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
4.402 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
4.402 * [taylor]: Taking taylor expansion of y.re in y.im
4.402 * [backup-simplify]: Simplify y.re into y.re
4.402 * [taylor]: Taking taylor expansion of x.im in y.im
4.402 * [backup-simplify]: Simplify x.im into x.im
4.403 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
4.403 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
4.403 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
4.403 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
4.403 * [taylor]: Taking taylor expansion of y.im in y.im
4.403 * [backup-simplify]: Simplify 0 into 0
4.403 * [backup-simplify]: Simplify 1 into 1
4.403 * [taylor]: Taking taylor expansion of x.re in y.im
4.403 * [backup-simplify]: Simplify x.re into x.re
4.403 * [backup-simplify]: Simplify (* 0 x.re) into 0
4.403 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
4.403 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
4.403 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
4.403 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
4.403 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
4.403 * [taylor]: Taking taylor expansion of y.re in x.re
4.403 * [backup-simplify]: Simplify y.re into y.re
4.404 * [taylor]: Taking taylor expansion of x.im in x.re
4.404 * [backup-simplify]: Simplify x.im into x.im
4.404 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
4.404 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
4.404 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
4.404 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
4.404 * [taylor]: Taking taylor expansion of y.im in x.re
4.404 * [backup-simplify]: Simplify y.im into y.im
4.404 * [taylor]: Taking taylor expansion of x.re in x.re
4.404 * [backup-simplify]: Simplify 0 into 0
4.404 * [backup-simplify]: Simplify 1 into 1
4.404 * [backup-simplify]: Simplify (* y.im 0) into 0
4.404 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
4.404 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.404 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
4.404 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
4.404 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
4.404 * [taylor]: Taking taylor expansion of y.re in y.re
4.405 * [backup-simplify]: Simplify 0 into 0
4.405 * [backup-simplify]: Simplify 1 into 1
4.405 * [taylor]: Taking taylor expansion of x.im in y.re
4.405 * [backup-simplify]: Simplify x.im into x.im
4.405 * [backup-simplify]: Simplify (* 0 x.im) into 0
4.405 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
4.405 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
4.405 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
4.405 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
4.405 * [taylor]: Taking taylor expansion of y.im in y.re
4.405 * [backup-simplify]: Simplify y.im into y.im
4.405 * [taylor]: Taking taylor expansion of x.re in y.re
4.405 * [backup-simplify]: Simplify x.re into x.re
4.405 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.405 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.405 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
4.405 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
4.406 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
4.406 * [taylor]: Taking taylor expansion of y.re in x.im
4.406 * [backup-simplify]: Simplify y.re into y.re
4.406 * [taylor]: Taking taylor expansion of x.im in x.im
4.406 * [backup-simplify]: Simplify 0 into 0
4.406 * [backup-simplify]: Simplify 1 into 1
4.406 * [backup-simplify]: Simplify (* y.re 0) into 0
4.406 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
4.406 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.406 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
4.406 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
4.406 * [taylor]: Taking taylor expansion of y.im in x.im
4.406 * [backup-simplify]: Simplify y.im into y.im
4.406 * [taylor]: Taking taylor expansion of x.re in x.im
4.406 * [backup-simplify]: Simplify x.re into x.re
4.406 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.406 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.407 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
4.407 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
4.407 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
4.407 * [taylor]: Taking taylor expansion of y.re in x.im
4.407 * [backup-simplify]: Simplify y.re into y.re
4.407 * [taylor]: Taking taylor expansion of x.im in x.im
4.407 * [backup-simplify]: Simplify 0 into 0
4.407 * [backup-simplify]: Simplify 1 into 1
4.407 * [backup-simplify]: Simplify (* y.re 0) into 0
4.407 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
4.407 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.407 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
4.407 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
4.407 * [taylor]: Taking taylor expansion of y.im in x.im
4.407 * [backup-simplify]: Simplify y.im into y.im
4.407 * [taylor]: Taking taylor expansion of x.re in x.im
4.407 * [backup-simplify]: Simplify x.re into x.re
4.407 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.408 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.408 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
4.408 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
4.408 * [taylor]: Taking taylor expansion of y.re in y.re
4.408 * [backup-simplify]: Simplify 0 into 0
4.408 * [backup-simplify]: Simplify 1 into 1
4.408 * [backup-simplify]: Simplify (/ 1 1) into 1
4.408 * [taylor]: Taking taylor expansion of 1 in x.re
4.408 * [backup-simplify]: Simplify 1 into 1
4.409 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
4.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
4.409 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
4.409 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
4.409 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in y.re
4.409 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
4.409 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
4.409 * [taylor]: Taking taylor expansion of y.im in y.re
4.409 * [backup-simplify]: Simplify y.im into y.im
4.409 * [taylor]: Taking taylor expansion of x.re in y.re
4.409 * [backup-simplify]: Simplify x.re into x.re
4.409 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.410 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.411 * [taylor]: Taking taylor expansion of 0 in x.re
4.411 * [backup-simplify]: Simplify 0 into 0
4.411 * [taylor]: Taking taylor expansion of 1 in y.im
4.411 * [backup-simplify]: Simplify 1 into 1
4.412 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.412 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
4.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
4.413 * [backup-simplify]: Simplify (- 0) into 0
4.413 * [backup-simplify]: Simplify (+ 0 0) into 0
4.413 * [taylor]: Taking taylor expansion of 0 in y.re
4.413 * [backup-simplify]: Simplify 0 into 0
4.413 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
4.414 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in x.re
4.414 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
4.414 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
4.414 * [taylor]: Taking taylor expansion of y.im in x.re
4.414 * [backup-simplify]: Simplify y.im into y.im
4.414 * [taylor]: Taking taylor expansion of x.re in x.re
4.414 * [backup-simplify]: Simplify 0 into 0
4.414 * [backup-simplify]: Simplify 1 into 1
4.414 * [backup-simplify]: Simplify (* y.im 0) into 0
4.414 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
4.414 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.414 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
4.414 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im
4.414 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
4.414 * [taylor]: Taking taylor expansion of y.im in y.im
4.414 * [backup-simplify]: Simplify 0 into 0
4.414 * [backup-simplify]: Simplify 1 into 1
4.415 * [backup-simplify]: Simplify (/ 1 1) into 1
4.415 * [backup-simplify]: Simplify (- 1) into -1
4.415 * [backup-simplify]: Simplify -1 into -1
4.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.416 * [taylor]: Taking taylor expansion of 0 in x.re
4.416 * [backup-simplify]: Simplify 0 into 0
4.416 * [taylor]: Taking taylor expansion of 0 in y.im
4.416 * [backup-simplify]: Simplify 0 into 0
4.416 * [taylor]: Taking taylor expansion of 0 in y.im
4.416 * [backup-simplify]: Simplify 0 into 0
4.416 * [backup-simplify]: Simplify 1 into 1
4.417 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
4.417 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.418 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
4.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
4.418 * [backup-simplify]: Simplify (- 0) into 0
4.419 * [backup-simplify]: Simplify (+ 0 0) into 0
4.419 * [taylor]: Taking taylor expansion of 0 in y.re
4.419 * [backup-simplify]: Simplify 0 into 0
4.419 * [taylor]: Taking taylor expansion of 0 in x.re
4.419 * [backup-simplify]: Simplify 0 into 0
4.419 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
4.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
4.420 * [backup-simplify]: Simplify (- 0) into 0
4.420 * [taylor]: Taking taylor expansion of 0 in x.re
4.420 * [backup-simplify]: Simplify 0 into 0
4.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.421 * [taylor]: Taking taylor expansion of 0 in x.re
4.421 * [backup-simplify]: Simplify 0 into 0
4.422 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
4.422 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
4.422 * [backup-simplify]: Simplify (- 0) into 0
4.422 * [taylor]: Taking taylor expansion of 0 in y.im
4.422 * [backup-simplify]: Simplify 0 into 0
4.422 * [taylor]: Taking taylor expansion of 0 in y.im
4.422 * [backup-simplify]: Simplify 0 into 0
4.422 * [taylor]: Taking taylor expansion of 0 in y.im
4.422 * [backup-simplify]: Simplify 0 into 0
4.422 * [taylor]: Taking taylor expansion of 0 in y.im
4.422 * [backup-simplify]: Simplify 0 into 0
4.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.424 * [backup-simplify]: Simplify (- 0) into 0
4.424 * [backup-simplify]: Simplify 0 into 0
4.424 * [backup-simplify]: Simplify 0 into 0
4.424 * [backup-simplify]: Simplify 0 into 0
4.424 * [backup-simplify]: Simplify 0 into 0
4.425 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
4.425 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
4.426 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
4.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
4.426 * [backup-simplify]: Simplify (- 0) into 0
4.426 * [backup-simplify]: Simplify (+ 0 0) into 0
4.426 * [taylor]: Taking taylor expansion of 0 in y.re
4.426 * [backup-simplify]: Simplify 0 into 0
4.426 * [taylor]: Taking taylor expansion of 0 in x.re
4.426 * [backup-simplify]: Simplify 0 into 0
4.426 * [taylor]: Taking taylor expansion of 0 in x.re
4.427 * [backup-simplify]: Simplify 0 into 0
4.427 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
4.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
4.427 * [backup-simplify]: Simplify (- 0) into 0
4.427 * [taylor]: Taking taylor expansion of 0 in x.re
4.427 * [backup-simplify]: Simplify 0 into 0
4.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.428 * [taylor]: Taking taylor expansion of 0 in x.re
4.428 * [backup-simplify]: Simplify 0 into 0
4.428 * [taylor]: Taking taylor expansion of 0 in y.im
4.428 * [backup-simplify]: Simplify 0 into 0
4.428 * [taylor]: Taking taylor expansion of 0 in y.im
4.428 * [backup-simplify]: Simplify 0 into 0
4.428 * [taylor]: Taking taylor expansion of 0 in y.im
4.428 * [backup-simplify]: Simplify 0 into 0
4.428 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
4.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
4.429 * [backup-simplify]: Simplify (- 0) into 0
4.429 * [taylor]: Taking taylor expansion of 0 in y.im
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [taylor]: Taking taylor expansion of 0 in y.im
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [taylor]: Taking taylor expansion of 0 in y.im
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [taylor]: Taking taylor expansion of 0 in y.im
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify 0 into 0
4.429 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- y.re))) (/ 1 (/ 1 (- x.im))))))) (* -1 (* (/ 1 (/ 1 (- y.im))) (* (/ 1 (/ 1 (- x.re))) (* 1 1))))) into (- (* y.re x.im) (* y.im x.re))
4.430 * * * * [progress]: [ 3 / 4 ] generating series at (2)
4.430 * [backup-simplify]: Simplify (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) into (/ (- (* y.re x.im) (* y.im x.re)) (pow (hypot y.re y.im) 2))
4.430 * [approximate]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (pow (hypot y.re y.im) 2)) in (y.re y.im x.im x.re) around 0
4.430 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (pow (hypot y.re y.im) 2)) in x.re
4.430 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.re
4.430 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
4.430 * [taylor]: Taking taylor expansion of y.re in x.re
4.430 * [backup-simplify]: Simplify y.re into y.re
4.430 * [taylor]: Taking taylor expansion of x.im in x.re
4.430 * [backup-simplify]: Simplify x.im into x.im
4.430 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
4.430 * [taylor]: Taking taylor expansion of y.im in x.re
4.430 * [backup-simplify]: Simplify y.im into y.im
4.430 * [taylor]: Taking taylor expansion of x.re in x.re
4.430 * [backup-simplify]: Simplify 0 into 0
4.430 * [backup-simplify]: Simplify 1 into 1
4.430 * [taylor]: Taking taylor expansion of (pow (hypot y.re y.im) 2) in x.re
4.430 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.re
4.430 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
4.430 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
4.430 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.re
4.430 * [taylor]: Taking taylor expansion of y.re in x.re
4.430 * [backup-simplify]: Simplify y.re into y.re
4.430 * [taylor]: Taking taylor expansion of y.re in x.re
4.430 * [backup-simplify]: Simplify y.re into y.re
4.430 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.re
4.430 * [taylor]: Taking taylor expansion of y.im in x.re
4.430 * [backup-simplify]: Simplify y.im into y.im
4.430 * [taylor]: Taking taylor expansion of y.im in x.re
4.430 * [backup-simplify]: Simplify y.im into y.im
4.430 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
4.431 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
4.431 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
4.431 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
4.431 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
4.431 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
4.431 * [backup-simplify]: Simplify (+ 0 0) into 0
4.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
4.432 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
4.432 * [backup-simplify]: Simplify (* y.im 0) into 0
4.432 * [backup-simplify]: Simplify (- 0) into 0
4.432 * [backup-simplify]: Simplify (+ (* y.re x.im) 0) into (* y.re x.im)
4.432 * [backup-simplify]: Simplify (* (sqrt (+ (pow y.re 2) (pow y.im 2))) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (+ (pow y.im 2) (pow y.re 2))
4.432 * [backup-simplify]: Simplify (/ (* y.re x.im) (+ (pow y.im 2) (pow y.re 2))) into (/ (* y.re x.im) (+ (pow y.re 2) (pow y.im 2)))
4.432 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (pow (hypot y.re y.im) 2)) in x.im
4.432 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
4.432 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
4.432 * [taylor]: Taking taylor expansion of y.re in x.im
4.432 * [backup-simplify]: Simplify y.re into y.re
4.432 * [taylor]: Taking taylor expansion of x.im in x.im
4.432 * [backup-simplify]: Simplify 0 into 0
4.433 * [backup-simplify]: Simplify 1 into 1
4.433 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
4.433 * [taylor]: Taking taylor expansion of y.im in x.im
4.433 * [backup-simplify]: Simplify y.im into y.im
4.433 * [taylor]: Taking taylor expansion of x.re in x.im
4.433 * [backup-simplify]: Simplify x.re into x.re
4.433 * [taylor]: Taking taylor expansion of (pow (hypot y.re y.im) 2) in x.im
4.433 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.im
4.433 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
4.433 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
4.433 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
4.433 * [taylor]: Taking taylor expansion of y.re in x.im
4.433 * [backup-simplify]: Simplify y.re into y.re
4.433 * [taylor]: Taking taylor expansion of y.re in x.im
4.433 * [backup-simplify]: Simplify y.re into y.re
4.433 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.im
4.433 * [taylor]: Taking taylor expansion of y.im in x.im
4.433 * [backup-simplify]: Simplify y.im into y.im
4.433 * [taylor]: Taking taylor expansion of y.im in x.im
4.433 * [backup-simplify]: Simplify y.im into y.im
4.433 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
4.433 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
4.433 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
4.433 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
4.433 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
4.433 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
4.434 * [backup-simplify]: Simplify (+ 0 0) into 0
4.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
4.434 * [backup-simplify]: Simplify (* y.re 0) into 0
4.434 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.434 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
4.434 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
4.435 * [backup-simplify]: Simplify (* (sqrt (+ (pow y.re 2) (pow y.im 2))) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (+ (pow y.im 2) (pow y.re 2))
4.435 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) (+ (pow y.im 2) (pow y.re 2))) into (* -1 (/ (* y.im x.re) (+ (pow y.re 2) (pow y.im 2))))
4.435 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (pow (hypot y.re y.im) 2)) in y.im
4.435 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.im
4.435 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
4.435 * [taylor]: Taking taylor expansion of y.re in y.im
4.435 * [backup-simplify]: Simplify y.re into y.re
4.435 * [taylor]: Taking taylor expansion of x.im in y.im
4.435 * [backup-simplify]: Simplify x.im into x.im
4.435 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
4.436 * [taylor]: Taking taylor expansion of y.im in y.im
4.436 * [backup-simplify]: Simplify 0 into 0
4.436 * [backup-simplify]: Simplify 1 into 1
4.436 * [taylor]: Taking taylor expansion of x.re in y.im
4.436 * [backup-simplify]: Simplify x.re into x.re
4.436 * [taylor]: Taking taylor expansion of (pow (hypot y.re y.im) 2) in y.im
4.436 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.im
4.436 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
4.436 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
4.436 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.im
4.436 * [taylor]: Taking taylor expansion of y.re in y.im
4.436 * [backup-simplify]: Simplify y.re into y.re
4.436 * [taylor]: Taking taylor expansion of y.re in y.im
4.436 * [backup-simplify]: Simplify y.re into y.re
4.436 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.im
4.436 * [taylor]: Taking taylor expansion of y.im in y.im
4.436 * [backup-simplify]: Simplify 0 into 0
4.436 * [backup-simplify]: Simplify 1 into 1
4.436 * [taylor]: Taking taylor expansion of y.im in y.im
4.436 * [backup-simplify]: Simplify 0 into 0
4.436 * [backup-simplify]: Simplify 1 into 1
4.436 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
4.437 * [backup-simplify]: Simplify (* 0 0) into 0
4.437 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
4.437 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
4.437 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
4.438 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.438 * [backup-simplify]: Simplify (+ 0 0) into 0
4.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
4.438 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
4.439 * [backup-simplify]: Simplify (* 0 x.re) into 0
4.439 * [backup-simplify]: Simplify (- 0) into 0
4.439 * [backup-simplify]: Simplify (+ (* y.re x.im) 0) into (* y.re x.im)
4.439 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
4.439 * [backup-simplify]: Simplify (/ (* y.re x.im) (pow y.re 2)) into (/ x.im y.re)
4.439 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (pow (hypot y.re y.im) 2)) in y.re
4.439 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.re
4.439 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
4.440 * [taylor]: Taking taylor expansion of y.re in y.re
4.440 * [backup-simplify]: Simplify 0 into 0
4.440 * [backup-simplify]: Simplify 1 into 1
4.440 * [taylor]: Taking taylor expansion of x.im in y.re
4.440 * [backup-simplify]: Simplify x.im into x.im
4.440 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
4.440 * [taylor]: Taking taylor expansion of y.im in y.re
4.440 * [backup-simplify]: Simplify y.im into y.im
4.440 * [taylor]: Taking taylor expansion of x.re in y.re
4.440 * [backup-simplify]: Simplify x.re into x.re
4.440 * [taylor]: Taking taylor expansion of (pow (hypot y.re y.im) 2) in y.re
4.440 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
4.440 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
4.440 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
4.440 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
4.440 * [taylor]: Taking taylor expansion of y.re in y.re
4.440 * [backup-simplify]: Simplify 0 into 0
4.440 * [backup-simplify]: Simplify 1 into 1
4.440 * [taylor]: Taking taylor expansion of y.re in y.re
4.440 * [backup-simplify]: Simplify 0 into 0
4.440 * [backup-simplify]: Simplify 1 into 1
4.440 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
4.440 * [taylor]: Taking taylor expansion of y.im in y.re
4.440 * [backup-simplify]: Simplify y.im into y.im
4.440 * [taylor]: Taking taylor expansion of y.im in y.re
4.440 * [backup-simplify]: Simplify y.im into y.im
4.441 * [backup-simplify]: Simplify (* 0 0) into 0
4.441 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
4.441 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
4.441 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
4.442 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.442 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
4.442 * [backup-simplify]: Simplify (+ 0 0) into 0
4.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
4.442 * [backup-simplify]: Simplify (* 0 x.im) into 0
4.442 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.442 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
4.442 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
4.442 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
4.443 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) (pow y.im 2)) into (* -1 (/ x.re y.im))
4.443 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (pow (hypot y.re y.im) 2)) in y.re
4.443 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.re
4.443 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
4.443 * [taylor]: Taking taylor expansion of y.re in y.re
4.443 * [backup-simplify]: Simplify 0 into 0
4.443 * [backup-simplify]: Simplify 1 into 1
4.443 * [taylor]: Taking taylor expansion of x.im in y.re
4.443 * [backup-simplify]: Simplify x.im into x.im
4.443 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
4.443 * [taylor]: Taking taylor expansion of y.im in y.re
4.443 * [backup-simplify]: Simplify y.im into y.im
4.443 * [taylor]: Taking taylor expansion of x.re in y.re
4.443 * [backup-simplify]: Simplify x.re into x.re
4.443 * [taylor]: Taking taylor expansion of (pow (hypot y.re y.im) 2) in y.re
4.443 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
4.443 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
4.443 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
4.443 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
4.443 * [taylor]: Taking taylor expansion of y.re in y.re
4.443 * [backup-simplify]: Simplify 0 into 0
4.443 * [backup-simplify]: Simplify 1 into 1
4.443 * [taylor]: Taking taylor expansion of y.re in y.re
4.443 * [backup-simplify]: Simplify 0 into 0
4.443 * [backup-simplify]: Simplify 1 into 1
4.443 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
4.443 * [taylor]: Taking taylor expansion of y.im in y.re
4.443 * [backup-simplify]: Simplify y.im into y.im
4.443 * [taylor]: Taking taylor expansion of y.im in y.re
4.443 * [backup-simplify]: Simplify y.im into y.im
4.443 * [backup-simplify]: Simplify (* 0 0) into 0
4.444 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
4.444 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
4.444 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
4.444 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.444 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
4.444 * [backup-simplify]: Simplify (+ 0 0) into 0
4.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
4.445 * [backup-simplify]: Simplify (* 0 x.im) into 0
4.445 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.445 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
4.445 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
4.445 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
4.445 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) (pow y.im 2)) into (* -1 (/ x.re y.im))
4.445 * [taylor]: Taking taylor expansion of (* -1 (/ x.re y.im)) in y.im
4.445 * [taylor]: Taking taylor expansion of -1 in y.im
4.445 * [backup-simplify]: Simplify -1 into -1
4.445 * [taylor]: Taking taylor expansion of (/ x.re y.im) in y.im
4.445 * [taylor]: Taking taylor expansion of x.re in y.im
4.445 * [backup-simplify]: Simplify x.re into x.re
4.445 * [taylor]: Taking taylor expansion of y.im in y.im
4.445 * [backup-simplify]: Simplify 0 into 0
4.445 * [backup-simplify]: Simplify 1 into 1
4.445 * [backup-simplify]: Simplify (/ x.re 1) into x.re
4.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0
4.446 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x.re)) into 0
4.446 * [taylor]: Taking taylor expansion of 0 in x.im
4.446 * [backup-simplify]: Simplify 0 into 0
4.446 * [taylor]: Taking taylor expansion of 0 in x.re
4.446 * [backup-simplify]: Simplify 0 into 0
4.446 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
4.447 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
4.447 * [backup-simplify]: Simplify (- 0) into 0
4.447 * [backup-simplify]: Simplify (+ x.im 0) into x.im
4.447 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
4.447 * [backup-simplify]: Simplify (- (/ x.im (pow y.im 2)) (+ (* (* -1 (/ x.re y.im)) (/ 0 (pow y.im 2))))) into (/ x.im (pow y.im 2))
4.447 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 2)) in y.im
4.447 * [taylor]: Taking taylor expansion of x.im in y.im
4.447 * [backup-simplify]: Simplify x.im into x.im
4.447 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
4.447 * [taylor]: Taking taylor expansion of y.im in y.im
4.447 * [backup-simplify]: Simplify 0 into 0
4.447 * [backup-simplify]: Simplify 1 into 1
4.448 * [backup-simplify]: Simplify (* 1 1) into 1
4.448 * [backup-simplify]: Simplify (/ x.im 1) into x.im
4.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.449 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.449 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)))) into 0
4.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.450 * [taylor]: Taking taylor expansion of 0 in x.im
4.450 * [backup-simplify]: Simplify 0 into 0
4.450 * [taylor]: Taking taylor expansion of 0 in x.re
4.450 * [backup-simplify]: Simplify 0 into 0
4.450 * [backup-simplify]: Simplify 0 into 0
4.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.451 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x.re))) into 0
4.452 * [taylor]: Taking taylor expansion of 0 in x.im
4.452 * [backup-simplify]: Simplify 0 into 0
4.452 * [taylor]: Taking taylor expansion of 0 in x.re
4.452 * [backup-simplify]: Simplify 0 into 0
4.452 * [backup-simplify]: Simplify 0 into 0
4.452 * [taylor]: Taking taylor expansion of 0 in x.re
4.452 * [backup-simplify]: Simplify 0 into 0
4.452 * [backup-simplify]: Simplify 0 into 0
4.452 * [backup-simplify]: Simplify 0 into 0
4.452 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0
4.452 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
4.453 * [backup-simplify]: Simplify (- 0) into 0
4.453 * [backup-simplify]: Simplify (+ 0 0) into 0
4.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.454 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
4.454 * [backup-simplify]: Simplify (+ 1 0) into 1
4.454 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
4.455 * [backup-simplify]: Simplify (+ (* y.im (/ 1/2 y.im)) (+ (* 0 0) (* (/ 1/2 y.im) y.im))) into 1
4.455 * [backup-simplify]: Simplify (- (/ 0 (pow y.im 2)) (+ (* (* -1 (/ x.re y.im)) (/ 1 (pow y.im 2))) (* (/ x.im (pow y.im 2)) (/ 0 (pow y.im 2))))) into (/ x.re (pow y.im 3))
4.455 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 3)) in y.im
4.455 * [taylor]: Taking taylor expansion of x.re in y.im
4.455 * [backup-simplify]: Simplify x.re into x.re
4.455 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im
4.455 * [taylor]: Taking taylor expansion of y.im in y.im
4.455 * [backup-simplify]: Simplify 0 into 0
4.455 * [backup-simplify]: Simplify 1 into 1
4.456 * [backup-simplify]: Simplify (* 1 1) into 1
4.456 * [backup-simplify]: Simplify (* 1 1) into 1
4.456 * [backup-simplify]: Simplify (/ x.re 1) into x.re
4.456 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.457 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.458 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.459 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0
4.459 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.460 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.461 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.461 * [taylor]: Taking taylor expansion of 0 in x.im
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [taylor]: Taking taylor expansion of 0 in x.re
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify 0 into 0
4.461 * [backup-simplify]: Simplify 0 into 0
4.462 * [backup-simplify]: Simplify (* (/ 1 (hypot (/ 1 y.re) (/ 1 y.im))) (/ (- (* (/ 1 x.im) (/ 1 y.re)) (* (/ 1 x.re) (/ 1 y.im))) (hypot (/ 1 y.re) (/ 1 y.im)))) into (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2))
4.462 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2)) in (y.re y.im x.im x.re) around 0
4.462 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2)) in x.re
4.462 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
4.462 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
4.462 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
4.462 * [taylor]: Taking taylor expansion of y.re in x.re
4.462 * [backup-simplify]: Simplify y.re into y.re
4.462 * [taylor]: Taking taylor expansion of x.im in x.re
4.462 * [backup-simplify]: Simplify x.im into x.im
4.462 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
4.462 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
4.462 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
4.462 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
4.462 * [taylor]: Taking taylor expansion of y.im in x.re
4.462 * [backup-simplify]: Simplify y.im into y.im
4.462 * [taylor]: Taking taylor expansion of x.re in x.re
4.462 * [backup-simplify]: Simplify 0 into 0
4.462 * [backup-simplify]: Simplify 1 into 1
4.462 * [backup-simplify]: Simplify (* y.im 0) into 0
4.462 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
4.462 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.462 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2) in x.re
4.462 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.re
4.462 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
4.462 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
4.463 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
4.463 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
4.463 * [taylor]: Taking taylor expansion of y.re in x.re
4.463 * [backup-simplify]: Simplify y.re into y.re
4.463 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.463 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
4.463 * [taylor]: Taking taylor expansion of y.re in x.re
4.463 * [backup-simplify]: Simplify y.re into y.re
4.463 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.463 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
4.463 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
4.463 * [taylor]: Taking taylor expansion of y.im in x.re
4.463 * [backup-simplify]: Simplify y.im into y.im
4.463 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.463 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
4.463 * [taylor]: Taking taylor expansion of y.im in x.re
4.463 * [backup-simplify]: Simplify y.im into y.im
4.463 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.463 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
4.463 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
4.463 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
4.463 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
4.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
4.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
4.464 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
4.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
4.464 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
4.464 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
4.464 * [backup-simplify]: Simplify (+ 0 0) into 0
4.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
4.465 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
4.465 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y.im))) into (- (/ 1 y.im))
4.465 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
4.465 * [backup-simplify]: Simplify (/ (- (/ 1 y.im)) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ -1 (* y.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))
4.465 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2)) in x.im
4.465 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
4.465 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
4.465 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
4.465 * [taylor]: Taking taylor expansion of y.re in x.im
4.465 * [backup-simplify]: Simplify y.re into y.re
4.465 * [taylor]: Taking taylor expansion of x.im in x.im
4.465 * [backup-simplify]: Simplify 0 into 0
4.465 * [backup-simplify]: Simplify 1 into 1
4.465 * [backup-simplify]: Simplify (* y.re 0) into 0
4.466 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
4.466 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.466 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
4.466 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
4.466 * [taylor]: Taking taylor expansion of y.im in x.im
4.466 * [backup-simplify]: Simplify y.im into y.im
4.466 * [taylor]: Taking taylor expansion of x.re in x.im
4.466 * [backup-simplify]: Simplify x.re into x.re
4.466 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.466 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.466 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2) in x.im
4.466 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.im
4.466 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
4.466 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
4.466 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
4.466 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
4.466 * [taylor]: Taking taylor expansion of y.re in x.im
4.466 * [backup-simplify]: Simplify y.re into y.re
4.466 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.466 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
4.466 * [taylor]: Taking taylor expansion of y.re in x.im
4.466 * [backup-simplify]: Simplify y.re into y.re
4.466 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.466 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
4.466 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
4.466 * [taylor]: Taking taylor expansion of y.im in x.im
4.466 * [backup-simplify]: Simplify y.im into y.im
4.466 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.466 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
4.466 * [taylor]: Taking taylor expansion of y.im in x.im
4.466 * [backup-simplify]: Simplify y.im into y.im
4.466 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.467 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
4.467 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
4.467 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
4.467 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
4.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
4.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
4.467 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
4.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
4.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
4.467 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
4.468 * [backup-simplify]: Simplify (+ 0 0) into 0
4.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
4.468 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
4.468 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
4.469 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re))
4.469 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2)) in y.im
4.469 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
4.469 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
4.469 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
4.469 * [taylor]: Taking taylor expansion of y.re in y.im
4.469 * [backup-simplify]: Simplify y.re into y.re
4.469 * [taylor]: Taking taylor expansion of x.im in y.im
4.469 * [backup-simplify]: Simplify x.im into x.im
4.469 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
4.469 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
4.469 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
4.469 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
4.469 * [taylor]: Taking taylor expansion of y.im in y.im
4.469 * [backup-simplify]: Simplify 0 into 0
4.469 * [backup-simplify]: Simplify 1 into 1
4.469 * [taylor]: Taking taylor expansion of x.re in y.im
4.469 * [backup-simplify]: Simplify x.re into x.re
4.469 * [backup-simplify]: Simplify (* 0 x.re) into 0
4.469 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
4.469 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
4.469 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2) in y.im
4.469 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.im
4.469 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
4.469 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
4.469 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
4.469 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
4.469 * [taylor]: Taking taylor expansion of y.re in y.im
4.469 * [backup-simplify]: Simplify y.re into y.re
4.470 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.470 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
4.470 * [taylor]: Taking taylor expansion of y.re in y.im
4.470 * [backup-simplify]: Simplify y.re into y.re
4.470 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.470 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
4.470 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
4.470 * [taylor]: Taking taylor expansion of y.im in y.im
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify 1 into 1
4.470 * [backup-simplify]: Simplify (/ 1 1) into 1
4.470 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
4.470 * [taylor]: Taking taylor expansion of y.im in y.im
4.470 * [backup-simplify]: Simplify 0 into 0
4.470 * [backup-simplify]: Simplify 1 into 1
4.470 * [backup-simplify]: Simplify (/ 1 1) into 1
4.470 * [backup-simplify]: Simplify (* 1 1) into 1
4.471 * [backup-simplify]: Simplify (+ 0 1) into 1
4.471 * [backup-simplify]: Simplify (sqrt 1) into 1
4.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.472 * [backup-simplify]: Simplify (+ 0 0) into 0
4.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.473 * [backup-simplify]: Simplify (- (/ 1 x.re)) into (- (/ 1 x.re))
4.473 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x.re))) into (- (/ 1 x.re))
4.473 * [backup-simplify]: Simplify (* 1 1) into 1
4.473 * [backup-simplify]: Simplify (/ (- (/ 1 x.re)) 1) into (/ -1 x.re)
4.473 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2)) in y.re
4.473 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
4.473 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
4.473 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
4.473 * [taylor]: Taking taylor expansion of y.re in y.re
4.473 * [backup-simplify]: Simplify 0 into 0
4.473 * [backup-simplify]: Simplify 1 into 1
4.473 * [taylor]: Taking taylor expansion of x.im in y.re
4.473 * [backup-simplify]: Simplify x.im into x.im
4.473 * [backup-simplify]: Simplify (* 0 x.im) into 0
4.474 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
4.474 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
4.474 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
4.474 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
4.474 * [taylor]: Taking taylor expansion of y.im in y.re
4.474 * [backup-simplify]: Simplify y.im into y.im
4.474 * [taylor]: Taking taylor expansion of x.re in y.re
4.474 * [backup-simplify]: Simplify x.re into x.re
4.474 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.474 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.474 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2) in y.re
4.474 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
4.474 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
4.474 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
4.474 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
4.474 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
4.474 * [taylor]: Taking taylor expansion of y.re in y.re
4.474 * [backup-simplify]: Simplify 0 into 0
4.474 * [backup-simplify]: Simplify 1 into 1
4.474 * [backup-simplify]: Simplify (/ 1 1) into 1
4.474 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
4.475 * [taylor]: Taking taylor expansion of y.re in y.re
4.475 * [backup-simplify]: Simplify 0 into 0
4.475 * [backup-simplify]: Simplify 1 into 1
4.475 * [backup-simplify]: Simplify (/ 1 1) into 1
4.475 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
4.475 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
4.475 * [taylor]: Taking taylor expansion of y.im in y.re
4.475 * [backup-simplify]: Simplify y.im into y.im
4.475 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.475 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
4.475 * [taylor]: Taking taylor expansion of y.im in y.re
4.475 * [backup-simplify]: Simplify y.im into y.im
4.475 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.475 * [backup-simplify]: Simplify (* 1 1) into 1
4.475 * [backup-simplify]: Simplify (+ 1 0) into 1
4.476 * [backup-simplify]: Simplify (sqrt 1) into 1
4.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.477 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.477 * [backup-simplify]: Simplify (+ 0 0) into 0
4.478 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.478 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
4.478 * [backup-simplify]: Simplify (* 1 1) into 1
4.478 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
4.478 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2)) in y.re
4.478 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
4.478 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
4.478 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
4.478 * [taylor]: Taking taylor expansion of y.re in y.re
4.478 * [backup-simplify]: Simplify 0 into 0
4.478 * [backup-simplify]: Simplify 1 into 1
4.478 * [taylor]: Taking taylor expansion of x.im in y.re
4.478 * [backup-simplify]: Simplify x.im into x.im
4.478 * [backup-simplify]: Simplify (* 0 x.im) into 0
4.478 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
4.478 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
4.478 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
4.478 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
4.479 * [taylor]: Taking taylor expansion of y.im in y.re
4.479 * [backup-simplify]: Simplify y.im into y.im
4.479 * [taylor]: Taking taylor expansion of x.re in y.re
4.479 * [backup-simplify]: Simplify x.re into x.re
4.479 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.479 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.479 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2) in y.re
4.479 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
4.479 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
4.479 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
4.479 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
4.479 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
4.479 * [taylor]: Taking taylor expansion of y.re in y.re
4.479 * [backup-simplify]: Simplify 0 into 0
4.479 * [backup-simplify]: Simplify 1 into 1
4.479 * [backup-simplify]: Simplify (/ 1 1) into 1
4.479 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
4.479 * [taylor]: Taking taylor expansion of y.re in y.re
4.479 * [backup-simplify]: Simplify 0 into 0
4.479 * [backup-simplify]: Simplify 1 into 1
4.479 * [backup-simplify]: Simplify (/ 1 1) into 1
4.479 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
4.479 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
4.479 * [taylor]: Taking taylor expansion of y.im in y.re
4.480 * [backup-simplify]: Simplify y.im into y.im
4.480 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.480 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
4.480 * [taylor]: Taking taylor expansion of y.im in y.re
4.480 * [backup-simplify]: Simplify y.im into y.im
4.480 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.480 * [backup-simplify]: Simplify (* 1 1) into 1
4.480 * [backup-simplify]: Simplify (+ 1 0) into 1
4.480 * [backup-simplify]: Simplify (sqrt 1) into 1
4.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.483 * [backup-simplify]: Simplify (+ 0 0) into 0
4.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.483 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
4.484 * [backup-simplify]: Simplify (* 1 1) into 1
4.484 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
4.484 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.im
4.484 * [taylor]: Taking taylor expansion of x.im in y.im
4.484 * [backup-simplify]: Simplify x.im into x.im
4.484 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
4.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
4.484 * [taylor]: Taking taylor expansion of 0 in x.im
4.484 * [backup-simplify]: Simplify 0 into 0
4.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0
4.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
4.485 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
4.485 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
4.486 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.487 * [backup-simplify]: Simplify (- (/ (- (/ 1 (* y.im x.re))) 1) (+ (* (/ 1 x.im) (/ 0 1)))) into (- (/ 1 (* y.im x.re)))
4.487 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in y.im
4.487 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
4.487 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
4.487 * [taylor]: Taking taylor expansion of y.im in y.im
4.487 * [backup-simplify]: Simplify 0 into 0
4.487 * [backup-simplify]: Simplify 1 into 1
4.487 * [taylor]: Taking taylor expansion of x.re in y.im
4.487 * [backup-simplify]: Simplify x.re into x.re
4.487 * [backup-simplify]: Simplify (* 0 x.re) into 0
4.487 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
4.487 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
4.488 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0
4.489 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0
4.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
4.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.490 * [backup-simplify]: Simplify (- 0) into 0
4.490 * [taylor]: Taking taylor expansion of 0 in x.im
4.490 * [backup-simplify]: Simplify 0 into 0
4.490 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.490 * [taylor]: Taking taylor expansion of 0 in x.im
4.490 * [backup-simplify]: Simplify 0 into 0
4.490 * [taylor]: Taking taylor expansion of 0 in x.re
4.490 * [backup-simplify]: Simplify 0 into 0
4.491 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.im)))) into 0
4.491 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.492 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
4.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
4.492 * [backup-simplify]: Simplify (- 0) into 0
4.492 * [backup-simplify]: Simplify (+ 0 0) into 0
4.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.495 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
4.495 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
4.495 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
4.496 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* (/ 1/2 (pow y.im 2)) 1))) into (/ 1 (pow y.im 2))
4.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 1 x.im) (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (* y.im x.re))) (/ 0 1)))) into (- (/ 1 (* (pow y.im 2) x.im)))
4.497 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y.im 2) x.im))) in y.im
4.497 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.im)) in y.im
4.497 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.im) in y.im
4.497 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
4.497 * [taylor]: Taking taylor expansion of y.im in y.im
4.497 * [backup-simplify]: Simplify 0 into 0
4.497 * [backup-simplify]: Simplify 1 into 1
4.497 * [taylor]: Taking taylor expansion of x.im in y.im
4.497 * [backup-simplify]: Simplify x.im into x.im
4.497 * [backup-simplify]: Simplify (* 1 1) into 1
4.497 * [backup-simplify]: Simplify (* 1 x.im) into x.im
4.497 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
4.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.498 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
4.500 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
4.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
4.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
4.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.501 * [backup-simplify]: Simplify (- 0) into 0
4.501 * [taylor]: Taking taylor expansion of 0 in x.im
4.501 * [backup-simplify]: Simplify 0 into 0
4.502 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
4.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.502 * [backup-simplify]: Simplify (- 0) into 0
4.502 * [taylor]: Taking taylor expansion of 0 in x.im
4.502 * [backup-simplify]: Simplify 0 into 0
4.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.502 * [taylor]: Taking taylor expansion of 0 in x.im
4.502 * [backup-simplify]: Simplify 0 into 0
4.502 * [taylor]: Taking taylor expansion of 0 in x.re
4.502 * [backup-simplify]: Simplify 0 into 0
4.503 * [taylor]: Taking taylor expansion of 0 in x.re
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [taylor]: Taking taylor expansion of 0 in x.re
4.503 * [backup-simplify]: Simplify 0 into 0
4.503 * [backup-simplify]: Simplify 0 into 0
4.504 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
4.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.504 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
4.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
4.505 * [backup-simplify]: Simplify (- 0) into 0
4.505 * [backup-simplify]: Simplify (+ 0 0) into 0
4.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
4.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
4.508 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
4.509 * [backup-simplify]: Simplify (+ 0 0) into 0
4.509 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
4.511 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* (/ 1/2 (pow y.im 2)) 0) (* 0 1)))) into 0
4.513 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 1 x.im) (/ 0 1)) (* (- (/ 1 (* y.im x.re))) (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (* (pow y.im 2) x.im))) (/ 0 1)))) into (/ 1 (* (pow y.im 3) x.re))
4.513 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 3) x.re)) in y.im
4.513 * [taylor]: Taking taylor expansion of (* (pow y.im 3) x.re) in y.im
4.513 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im
4.513 * [taylor]: Taking taylor expansion of y.im in y.im
4.513 * [backup-simplify]: Simplify 0 into 0
4.513 * [backup-simplify]: Simplify 1 into 1
4.513 * [taylor]: Taking taylor expansion of x.re in y.im
4.513 * [backup-simplify]: Simplify x.re into x.re
4.518 * [backup-simplify]: Simplify (* 1 1) into 1
4.519 * [backup-simplify]: Simplify (* 1 1) into 1
4.519 * [backup-simplify]: Simplify (* 1 x.re) into x.re
4.519 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
4.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.521 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.524 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.526 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.528 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
4.529 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.re)) into 0
4.529 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
4.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
4.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.re))) into 0
4.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.532 * [taylor]: Taking taylor expansion of 0 in x.im
4.532 * [backup-simplify]: Simplify 0 into 0
4.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
4.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.535 * [backup-simplify]: Simplify (- 0) into 0
4.535 * [taylor]: Taking taylor expansion of 0 in x.im
4.535 * [backup-simplify]: Simplify 0 into 0
4.537 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0
4.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.537 * [backup-simplify]: Simplify (- 0) into 0
4.537 * [taylor]: Taking taylor expansion of 0 in x.im
4.538 * [backup-simplify]: Simplify 0 into 0
4.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.538 * [taylor]: Taking taylor expansion of 0 in x.im
4.538 * [backup-simplify]: Simplify 0 into 0
4.538 * [taylor]: Taking taylor expansion of 0 in x.re
4.538 * [backup-simplify]: Simplify 0 into 0
4.538 * [taylor]: Taking taylor expansion of 0 in x.re
4.538 * [backup-simplify]: Simplify 0 into 0
4.538 * [taylor]: Taking taylor expansion of 0 in x.re
4.538 * [backup-simplify]: Simplify 0 into 0
4.538 * [taylor]: Taking taylor expansion of 0 in x.re
4.538 * [backup-simplify]: Simplify 0 into 0
4.538 * [taylor]: Taking taylor expansion of 0 in x.re
4.538 * [backup-simplify]: Simplify 0 into 0
4.538 * [taylor]: Taking taylor expansion of 0 in x.re
4.538 * [backup-simplify]: Simplify 0 into 0
4.538 * [backup-simplify]: Simplify 0 into 0
4.538 * [backup-simplify]: Simplify 0 into 0
4.538 * [backup-simplify]: Simplify 0 into 0
4.538 * [backup-simplify]: Simplify 0 into 0
4.540 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0
4.541 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.541 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
4.542 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
4.542 * [backup-simplify]: Simplify (- 0) into 0
4.542 * [backup-simplify]: Simplify (+ 0 0) into 0
4.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.545 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
4.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
4.546 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
4.546 * [backup-simplify]: Simplify (+ 0 0) into 0
4.547 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y.im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y.im 4))
4.548 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y.im 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y.im 2)) (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* (/ -1/8 (pow y.im 4)) 1))))) into 0
4.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 1 x.im) (/ 0 1)) (* (- (/ 1 (* y.im x.re))) (/ 0 1)) (* (- (/ 1 (* (pow y.im 2) x.im))) (/ (/ 1 (pow y.im 2)) 1)) (* (/ 1 (* (pow y.im 3) x.re)) (/ 0 1)))) into (/ 1 (* (pow y.im 4) x.im))
4.549 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 4) x.im)) in y.im
4.549 * [taylor]: Taking taylor expansion of (* (pow y.im 4) x.im) in y.im
4.549 * [taylor]: Taking taylor expansion of (pow y.im 4) in y.im
4.549 * [taylor]: Taking taylor expansion of y.im in y.im
4.549 * [backup-simplify]: Simplify 0 into 0
4.549 * [backup-simplify]: Simplify 1 into 1
4.549 * [taylor]: Taking taylor expansion of x.im in y.im
4.549 * [backup-simplify]: Simplify x.im into x.im
4.550 * [backup-simplify]: Simplify (* 1 1) into 1
4.550 * [backup-simplify]: Simplify (* 1 1) into 1
4.550 * [backup-simplify]: Simplify (* 1 x.im) into x.im
4.550 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
4.550 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.554 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.556 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.557 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0
4.557 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
4.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
4.558 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
4.559 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
4.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.560 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
4.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.560 * [taylor]: Taking taylor expansion of 0 in x.im
4.560 * [backup-simplify]: Simplify 0 into 0
4.561 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.562 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0
4.563 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.563 * [taylor]: Taking taylor expansion of 0 in x.im
4.563 * [backup-simplify]: Simplify 0 into 0
4.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0
4.565 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.565 * [backup-simplify]: Simplify (- 0) into 0
4.565 * [taylor]: Taking taylor expansion of 0 in x.im
4.565 * [backup-simplify]: Simplify 0 into 0
4.567 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))))) into 0
4.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.567 * [backup-simplify]: Simplify (- 0) into 0
4.567 * [taylor]: Taking taylor expansion of 0 in x.im
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.567 * [taylor]: Taking taylor expansion of 0 in x.im
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [taylor]: Taking taylor expansion of 0 in x.re
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [taylor]: Taking taylor expansion of 0 in x.re
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [taylor]: Taking taylor expansion of 0 in x.re
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [taylor]: Taking taylor expansion of 0 in x.re
4.567 * [backup-simplify]: Simplify 0 into 0
4.567 * [taylor]: Taking taylor expansion of 0 in x.re
4.567 * [backup-simplify]: Simplify 0 into 0
4.568 * [taylor]: Taking taylor expansion of 0 in x.re
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [taylor]: Taking taylor expansion of 0 in x.re
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [taylor]: Taking taylor expansion of 0 in x.re
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [taylor]: Taking taylor expansion of 0 in x.re
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [taylor]: Taking taylor expansion of 0 in x.re
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify 0 into 0
4.568 * [backup-simplify]: Simplify (* (/ 1 (hypot (/ 1 (- y.re)) (/ 1 (- y.im)))) (/ (- (* (/ 1 (- x.im)) (/ 1 (- y.re))) (* (/ 1 (- x.re)) (/ 1 (- y.im)))) (hypot (/ 1 (- y.re)) (/ 1 (- y.im))))) into (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2))
4.568 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2)) in (y.re y.im x.im x.re) around 0
4.568 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2)) in x.re
4.568 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
4.568 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
4.568 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
4.568 * [taylor]: Taking taylor expansion of y.re in x.re
4.568 * [backup-simplify]: Simplify y.re into y.re
4.568 * [taylor]: Taking taylor expansion of x.im in x.re
4.568 * [backup-simplify]: Simplify x.im into x.im
4.568 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
4.568 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
4.568 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
4.568 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
4.568 * [taylor]: Taking taylor expansion of y.im in x.re
4.569 * [backup-simplify]: Simplify y.im into y.im
4.569 * [taylor]: Taking taylor expansion of x.re in x.re
4.569 * [backup-simplify]: Simplify 0 into 0
4.569 * [backup-simplify]: Simplify 1 into 1
4.569 * [backup-simplify]: Simplify (* y.im 0) into 0
4.569 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
4.569 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.569 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2) in x.re
4.569 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.re
4.569 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
4.569 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.re
4.569 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.re
4.569 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
4.569 * [taylor]: Taking taylor expansion of -1 in x.re
4.569 * [backup-simplify]: Simplify -1 into -1
4.569 * [taylor]: Taking taylor expansion of y.re in x.re
4.569 * [backup-simplify]: Simplify y.re into y.re
4.569 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.569 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
4.569 * [taylor]: Taking taylor expansion of -1 in x.re
4.569 * [backup-simplify]: Simplify -1 into -1
4.569 * [taylor]: Taking taylor expansion of y.re in x.re
4.569 * [backup-simplify]: Simplify y.re into y.re
4.569 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.569 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.re
4.569 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
4.569 * [taylor]: Taking taylor expansion of -1 in x.re
4.570 * [backup-simplify]: Simplify -1 into -1
4.570 * [taylor]: Taking taylor expansion of y.im in x.re
4.570 * [backup-simplify]: Simplify y.im into y.im
4.570 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.570 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
4.570 * [taylor]: Taking taylor expansion of -1 in x.re
4.570 * [backup-simplify]: Simplify -1 into -1
4.570 * [taylor]: Taking taylor expansion of y.im in x.re
4.570 * [backup-simplify]: Simplify y.im into y.im
4.570 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.570 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
4.570 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
4.570 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
4.571 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
4.571 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
4.571 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
4.571 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
4.571 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
4.571 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
4.572 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
4.572 * [backup-simplify]: Simplify (+ 0 0) into 0
4.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
4.573 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
4.573 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y.im))) into (- (/ 1 y.im))
4.573 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
4.574 * [backup-simplify]: Simplify (/ (- (/ 1 y.im)) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ -1 (* y.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))
4.574 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2)) in x.im
4.574 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
4.574 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
4.574 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
4.574 * [taylor]: Taking taylor expansion of y.re in x.im
4.574 * [backup-simplify]: Simplify y.re into y.re
4.574 * [taylor]: Taking taylor expansion of x.im in x.im
4.574 * [backup-simplify]: Simplify 0 into 0
4.574 * [backup-simplify]: Simplify 1 into 1
4.574 * [backup-simplify]: Simplify (* y.re 0) into 0
4.574 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
4.574 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.574 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
4.574 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
4.575 * [taylor]: Taking taylor expansion of y.im in x.im
4.575 * [backup-simplify]: Simplify y.im into y.im
4.575 * [taylor]: Taking taylor expansion of x.re in x.im
4.575 * [backup-simplify]: Simplify x.re into x.re
4.575 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.575 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.575 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2) in x.im
4.575 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.im
4.575 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
4.575 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.im
4.575 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
4.575 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
4.575 * [taylor]: Taking taylor expansion of -1 in x.im
4.575 * [backup-simplify]: Simplify -1 into -1
4.575 * [taylor]: Taking taylor expansion of y.re in x.im
4.575 * [backup-simplify]: Simplify y.re into y.re
4.575 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.575 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
4.575 * [taylor]: Taking taylor expansion of -1 in x.im
4.575 * [backup-simplify]: Simplify -1 into -1
4.575 * [taylor]: Taking taylor expansion of y.re in x.im
4.575 * [backup-simplify]: Simplify y.re into y.re
4.575 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.575 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.im
4.575 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
4.575 * [taylor]: Taking taylor expansion of -1 in x.im
4.575 * [backup-simplify]: Simplify -1 into -1
4.575 * [taylor]: Taking taylor expansion of y.im in x.im
4.575 * [backup-simplify]: Simplify y.im into y.im
4.575 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.575 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
4.575 * [taylor]: Taking taylor expansion of -1 in x.im
4.575 * [backup-simplify]: Simplify -1 into -1
4.575 * [taylor]: Taking taylor expansion of y.im in x.im
4.575 * [backup-simplify]: Simplify y.im into y.im
4.575 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.575 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
4.575 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
4.576 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
4.576 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
4.576 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
4.576 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
4.576 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
4.576 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
4.576 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
4.576 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
4.577 * [backup-simplify]: Simplify (+ 0 0) into 0
4.577 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
4.577 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
4.577 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
4.577 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re))
4.577 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2)) in y.im
4.577 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
4.577 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
4.578 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
4.578 * [taylor]: Taking taylor expansion of y.re in y.im
4.578 * [backup-simplify]: Simplify y.re into y.re
4.578 * [taylor]: Taking taylor expansion of x.im in y.im
4.578 * [backup-simplify]: Simplify x.im into x.im
4.578 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
4.578 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
4.578 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
4.578 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
4.578 * [taylor]: Taking taylor expansion of y.im in y.im
4.578 * [backup-simplify]: Simplify 0 into 0
4.578 * [backup-simplify]: Simplify 1 into 1
4.578 * [taylor]: Taking taylor expansion of x.re in y.im
4.578 * [backup-simplify]: Simplify x.re into x.re
4.578 * [backup-simplify]: Simplify (* 0 x.re) into 0
4.578 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
4.578 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
4.578 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2) in y.im
4.578 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.im
4.578 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
4.578 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.im
4.578 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.im
4.578 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
4.578 * [taylor]: Taking taylor expansion of -1 in y.im
4.578 * [backup-simplify]: Simplify -1 into -1
4.578 * [taylor]: Taking taylor expansion of y.re in y.im
4.578 * [backup-simplify]: Simplify y.re into y.re
4.578 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.578 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
4.578 * [taylor]: Taking taylor expansion of -1 in y.im
4.578 * [backup-simplify]: Simplify -1 into -1
4.578 * [taylor]: Taking taylor expansion of y.re in y.im
4.579 * [backup-simplify]: Simplify y.re into y.re
4.579 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.579 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.im
4.579 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
4.579 * [taylor]: Taking taylor expansion of -1 in y.im
4.579 * [backup-simplify]: Simplify -1 into -1
4.579 * [taylor]: Taking taylor expansion of y.im in y.im
4.579 * [backup-simplify]: Simplify 0 into 0
4.579 * [backup-simplify]: Simplify 1 into 1
4.579 * [backup-simplify]: Simplify (/ -1 1) into -1
4.579 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
4.579 * [taylor]: Taking taylor expansion of -1 in y.im
4.579 * [backup-simplify]: Simplify -1 into -1
4.579 * [taylor]: Taking taylor expansion of y.im in y.im
4.579 * [backup-simplify]: Simplify 0 into 0
4.579 * [backup-simplify]: Simplify 1 into 1
4.579 * [backup-simplify]: Simplify (/ -1 1) into -1
4.580 * [backup-simplify]: Simplify (* -1 -1) into 1
4.580 * [backup-simplify]: Simplify (+ 0 1) into 1
4.580 * [backup-simplify]: Simplify (sqrt 1) into 1
4.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.581 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.581 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.582 * [backup-simplify]: Simplify (+ 0 0) into 0
4.582 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.582 * [backup-simplify]: Simplify (- (/ 1 x.re)) into (- (/ 1 x.re))
4.582 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x.re))) into (- (/ 1 x.re))
4.582 * [backup-simplify]: Simplify (* 1 1) into 1
4.582 * [backup-simplify]: Simplify (/ (- (/ 1 x.re)) 1) into (/ -1 x.re)
4.583 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2)) in y.re
4.583 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
4.583 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
4.583 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
4.583 * [taylor]: Taking taylor expansion of y.re in y.re
4.583 * [backup-simplify]: Simplify 0 into 0
4.583 * [backup-simplify]: Simplify 1 into 1
4.583 * [taylor]: Taking taylor expansion of x.im in y.re
4.583 * [backup-simplify]: Simplify x.im into x.im
4.583 * [backup-simplify]: Simplify (* 0 x.im) into 0
4.583 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
4.583 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
4.583 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
4.583 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
4.583 * [taylor]: Taking taylor expansion of y.im in y.re
4.583 * [backup-simplify]: Simplify y.im into y.im
4.583 * [taylor]: Taking taylor expansion of x.re in y.re
4.583 * [backup-simplify]: Simplify x.re into x.re
4.583 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.583 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.583 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2) in y.re
4.583 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
4.583 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
4.583 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
4.583 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
4.583 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
4.583 * [taylor]: Taking taylor expansion of -1 in y.re
4.583 * [backup-simplify]: Simplify -1 into -1
4.583 * [taylor]: Taking taylor expansion of y.re in y.re
4.583 * [backup-simplify]: Simplify 0 into 0
4.583 * [backup-simplify]: Simplify 1 into 1
4.584 * [backup-simplify]: Simplify (/ -1 1) into -1
4.584 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
4.584 * [taylor]: Taking taylor expansion of -1 in y.re
4.584 * [backup-simplify]: Simplify -1 into -1
4.584 * [taylor]: Taking taylor expansion of y.re in y.re
4.584 * [backup-simplify]: Simplify 0 into 0
4.584 * [backup-simplify]: Simplify 1 into 1
4.584 * [backup-simplify]: Simplify (/ -1 1) into -1
4.584 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
4.584 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
4.584 * [taylor]: Taking taylor expansion of -1 in y.re
4.584 * [backup-simplify]: Simplify -1 into -1
4.584 * [taylor]: Taking taylor expansion of y.im in y.re
4.584 * [backup-simplify]: Simplify y.im into y.im
4.584 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.584 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
4.584 * [taylor]: Taking taylor expansion of -1 in y.re
4.584 * [backup-simplify]: Simplify -1 into -1
4.584 * [taylor]: Taking taylor expansion of y.im in y.re
4.584 * [backup-simplify]: Simplify y.im into y.im
4.584 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.585 * [backup-simplify]: Simplify (* -1 -1) into 1
4.585 * [backup-simplify]: Simplify (+ 1 0) into 1
4.585 * [backup-simplify]: Simplify (sqrt 1) into 1
4.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.586 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.587 * [backup-simplify]: Simplify (+ 0 0) into 0
4.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.587 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
4.587 * [backup-simplify]: Simplify (* 1 1) into 1
4.587 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
4.587 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2)) in y.re
4.588 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
4.588 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
4.588 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
4.588 * [taylor]: Taking taylor expansion of y.re in y.re
4.588 * [backup-simplify]: Simplify 0 into 0
4.588 * [backup-simplify]: Simplify 1 into 1
4.588 * [taylor]: Taking taylor expansion of x.im in y.re
4.588 * [backup-simplify]: Simplify x.im into x.im
4.588 * [backup-simplify]: Simplify (* 0 x.im) into 0
4.588 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
4.588 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
4.588 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
4.588 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
4.588 * [taylor]: Taking taylor expansion of y.im in y.re
4.588 * [backup-simplify]: Simplify y.im into y.im
4.588 * [taylor]: Taking taylor expansion of x.re in y.re
4.588 * [backup-simplify]: Simplify x.re into x.re
4.588 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
4.588 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
4.588 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2) in y.re
4.588 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
4.588 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
4.588 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
4.588 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
4.588 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
4.588 * [taylor]: Taking taylor expansion of -1 in y.re
4.589 * [backup-simplify]: Simplify -1 into -1
4.589 * [taylor]: Taking taylor expansion of y.re in y.re
4.589 * [backup-simplify]: Simplify 0 into 0
4.589 * [backup-simplify]: Simplify 1 into 1
4.589 * [backup-simplify]: Simplify (/ -1 1) into -1
4.589 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
4.589 * [taylor]: Taking taylor expansion of -1 in y.re
4.589 * [backup-simplify]: Simplify -1 into -1
4.589 * [taylor]: Taking taylor expansion of y.re in y.re
4.589 * [backup-simplify]: Simplify 0 into 0
4.589 * [backup-simplify]: Simplify 1 into 1
4.589 * [backup-simplify]: Simplify (/ -1 1) into -1
4.589 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
4.589 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
4.590 * [taylor]: Taking taylor expansion of -1 in y.re
4.590 * [backup-simplify]: Simplify -1 into -1
4.590 * [taylor]: Taking taylor expansion of y.im in y.re
4.590 * [backup-simplify]: Simplify y.im into y.im
4.590 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.590 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
4.590 * [taylor]: Taking taylor expansion of -1 in y.re
4.590 * [backup-simplify]: Simplify -1 into -1
4.590 * [taylor]: Taking taylor expansion of y.im in y.re
4.590 * [backup-simplify]: Simplify y.im into y.im
4.590 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.590 * [backup-simplify]: Simplify (* -1 -1) into 1
4.591 * [backup-simplify]: Simplify (+ 1 0) into 1
4.591 * [backup-simplify]: Simplify (sqrt 1) into 1
4.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.592 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.593 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.593 * [backup-simplify]: Simplify (+ 0 0) into 0
4.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.594 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
4.594 * [backup-simplify]: Simplify (* 1 1) into 1
4.594 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
4.595 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.im
4.595 * [taylor]: Taking taylor expansion of x.im in y.im
4.595 * [backup-simplify]: Simplify x.im into x.im
4.595 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
4.595 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
4.595 * [taylor]: Taking taylor expansion of 0 in x.im
4.595 * [backup-simplify]: Simplify 0 into 0
4.596 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0
4.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
4.596 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
4.596 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
4.597 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.597 * [backup-simplify]: Simplify (- (/ (- (/ 1 (* y.im x.re))) 1) (+ (* (/ 1 x.im) (/ 0 1)))) into (- (/ 1 (* y.im x.re)))
4.597 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in y.im
4.597 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
4.597 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
4.597 * [taylor]: Taking taylor expansion of y.im in y.im
4.597 * [backup-simplify]: Simplify 0 into 0
4.597 * [backup-simplify]: Simplify 1 into 1
4.597 * [taylor]: Taking taylor expansion of x.re in y.im
4.597 * [backup-simplify]: Simplify x.re into x.re
4.597 * [backup-simplify]: Simplify (* 0 x.re) into 0
4.598 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
4.598 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
4.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0
4.599 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0
4.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
4.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.600 * [backup-simplify]: Simplify (- 0) into 0
4.600 * [taylor]: Taking taylor expansion of 0 in x.im
4.600 * [backup-simplify]: Simplify 0 into 0
4.600 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.600 * [taylor]: Taking taylor expansion of 0 in x.im
4.600 * [backup-simplify]: Simplify 0 into 0
4.600 * [taylor]: Taking taylor expansion of 0 in x.re
4.600 * [backup-simplify]: Simplify 0 into 0
4.601 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.im)))) into 0
4.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.601 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
4.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
4.601 * [backup-simplify]: Simplify (- 0) into 0
4.602 * [backup-simplify]: Simplify (+ 0 0) into 0
4.602 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.603 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.603 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
4.604 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
4.604 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
4.605 * [backup-simplify]: Simplify (+ (* 1 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* (/ 1/2 (pow y.im 2)) 1))) into (/ 1 (pow y.im 2))
4.606 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 1 x.im) (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (* y.im x.re))) (/ 0 1)))) into (- (/ 1 (* (pow y.im 2) x.im)))
4.606 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y.im 2) x.im))) in y.im
4.606 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.im)) in y.im
4.606 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.im) in y.im
4.606 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
4.606 * [taylor]: Taking taylor expansion of y.im in y.im
4.606 * [backup-simplify]: Simplify 0 into 0
4.606 * [backup-simplify]: Simplify 1 into 1
4.606 * [taylor]: Taking taylor expansion of x.im in y.im
4.606 * [backup-simplify]: Simplify x.im into x.im
4.606 * [backup-simplify]: Simplify (* 1 1) into 1
4.606 * [backup-simplify]: Simplify (* 1 x.im) into x.im
4.606 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
4.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.607 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
4.608 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
4.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
4.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
4.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.610 * [backup-simplify]: Simplify (- 0) into 0
4.610 * [taylor]: Taking taylor expansion of 0 in x.im
4.610 * [backup-simplify]: Simplify 0 into 0
4.610 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
4.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.611 * [backup-simplify]: Simplify (- 0) into 0
4.611 * [taylor]: Taking taylor expansion of 0 in x.im
4.611 * [backup-simplify]: Simplify 0 into 0
4.611 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.611 * [taylor]: Taking taylor expansion of 0 in x.im
4.611 * [backup-simplify]: Simplify 0 into 0
4.611 * [taylor]: Taking taylor expansion of 0 in x.re
4.611 * [backup-simplify]: Simplify 0 into 0
4.611 * [taylor]: Taking taylor expansion of 0 in x.re
4.611 * [backup-simplify]: Simplify 0 into 0
4.611 * [taylor]: Taking taylor expansion of 0 in x.re
4.611 * [backup-simplify]: Simplify 0 into 0
4.611 * [backup-simplify]: Simplify 0 into 0
4.612 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
4.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.613 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
4.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
4.613 * [backup-simplify]: Simplify (- 0) into 0
4.613 * [backup-simplify]: Simplify (+ 0 0) into 0
4.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.614 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.615 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
4.615 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
4.615 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
4.615 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
4.615 * [backup-simplify]: Simplify (+ 0 0) into 0
4.616 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
4.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* (/ 1/2 (pow y.im 2)) 0) (* 0 1)))) into 0
4.618 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 1 x.im) (/ 0 1)) (* (- (/ 1 (* y.im x.re))) (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (* (pow y.im 2) x.im))) (/ 0 1)))) into (/ 1 (* (pow y.im 3) x.re))
4.618 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 3) x.re)) in y.im
4.618 * [taylor]: Taking taylor expansion of (* (pow y.im 3) x.re) in y.im
4.618 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im
4.618 * [taylor]: Taking taylor expansion of y.im in y.im
4.618 * [backup-simplify]: Simplify 0 into 0
4.618 * [backup-simplify]: Simplify 1 into 1
4.618 * [taylor]: Taking taylor expansion of x.re in y.im
4.618 * [backup-simplify]: Simplify x.re into x.re
4.618 * [backup-simplify]: Simplify (* 1 1) into 1
4.618 * [backup-simplify]: Simplify (* 1 1) into 1
4.618 * [backup-simplify]: Simplify (* 1 x.re) into x.re
4.618 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
4.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.625 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
4.626 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.re)) into 0
4.627 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
4.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
4.628 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.re))) into 0
4.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.628 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.628 * [taylor]: Taking taylor expansion of 0 in x.im
4.628 * [backup-simplify]: Simplify 0 into 0
4.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
4.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.630 * [backup-simplify]: Simplify (- 0) into 0
4.630 * [taylor]: Taking taylor expansion of 0 in x.im
4.630 * [backup-simplify]: Simplify 0 into 0
4.631 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0
4.631 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.632 * [backup-simplify]: Simplify (- 0) into 0
4.632 * [taylor]: Taking taylor expansion of 0 in x.im
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.632 * [taylor]: Taking taylor expansion of 0 in x.im
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [taylor]: Taking taylor expansion of 0 in x.re
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [taylor]: Taking taylor expansion of 0 in x.re
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [taylor]: Taking taylor expansion of 0 in x.re
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [taylor]: Taking taylor expansion of 0 in x.re
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [taylor]: Taking taylor expansion of 0 in x.re
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [taylor]: Taking taylor expansion of 0 in x.re
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 0 into 0
4.632 * [backup-simplify]: Simplify 0 into 0
4.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0
4.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.634 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
4.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
4.634 * [backup-simplify]: Simplify (- 0) into 0
4.635 * [backup-simplify]: Simplify (+ 0 0) into 0
4.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.636 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
4.637 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
4.637 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
4.637 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
4.637 * [backup-simplify]: Simplify (+ 0 0) into 0
4.638 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y.im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y.im 4))
4.639 * [backup-simplify]: Simplify (+ (* 1 (/ -1/8 (pow y.im 4))) (+ (* 0 0) (+ (* (/ 1/2 (pow y.im 2)) (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* (/ -1/8 (pow y.im 4)) 1))))) into 0
4.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 1 x.im) (/ 0 1)) (* (- (/ 1 (* y.im x.re))) (/ 0 1)) (* (- (/ 1 (* (pow y.im 2) x.im))) (/ (/ 1 (pow y.im 2)) 1)) (* (/ 1 (* (pow y.im 3) x.re)) (/ 0 1)))) into (/ 1 (* (pow y.im 4) x.im))
4.641 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 4) x.im)) in y.im
4.641 * [taylor]: Taking taylor expansion of (* (pow y.im 4) x.im) in y.im
4.641 * [taylor]: Taking taylor expansion of (pow y.im 4) in y.im
4.641 * [taylor]: Taking taylor expansion of y.im in y.im
4.641 * [backup-simplify]: Simplify 0 into 0
4.641 * [backup-simplify]: Simplify 1 into 1
4.641 * [taylor]: Taking taylor expansion of x.im in y.im
4.641 * [backup-simplify]: Simplify x.im into x.im
4.641 * [backup-simplify]: Simplify (* 1 1) into 1
4.641 * [backup-simplify]: Simplify (* 1 1) into 1
4.641 * [backup-simplify]: Simplify (* 1 x.im) into x.im
4.641 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
4.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.643 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.644 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
4.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0
4.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
4.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
4.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
4.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
4.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
4.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.656 * [taylor]: Taking taylor expansion of 0 in x.im
4.656 * [backup-simplify]: Simplify 0 into 0
4.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0
4.660 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.660 * [taylor]: Taking taylor expansion of 0 in x.im
4.660 * [backup-simplify]: Simplify 0 into 0
4.662 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
4.663 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0
4.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.664 * [backup-simplify]: Simplify (- 0) into 0
4.664 * [taylor]: Taking taylor expansion of 0 in x.im
4.664 * [backup-simplify]: Simplify 0 into 0
4.666 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))))) into 0
4.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
4.667 * [backup-simplify]: Simplify (- 0) into 0
4.667 * [taylor]: Taking taylor expansion of 0 in x.im
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
4.667 * [taylor]: Taking taylor expansion of 0 in x.im
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [taylor]: Taking taylor expansion of 0 in x.re
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [taylor]: Taking taylor expansion of 0 in x.re
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [taylor]: Taking taylor expansion of 0 in x.re
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [taylor]: Taking taylor expansion of 0 in x.re
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [taylor]: Taking taylor expansion of 0 in x.re
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [taylor]: Taking taylor expansion of 0 in x.re
4.667 * [backup-simplify]: Simplify 0 into 0
4.667 * [taylor]: Taking taylor expansion of 0 in x.re
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [taylor]: Taking taylor expansion of 0 in x.re
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [taylor]: Taking taylor expansion of 0 in x.re
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [taylor]: Taking taylor expansion of 0 in x.re
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
4.668 * [backup-simplify]: Simplify (/ 1 (hypot y.re y.im)) into (/ 1 (hypot y.re y.im))
4.668 * [approximate]: Taking taylor expansion of (/ 1 (hypot y.re y.im)) in (y.re y.im) around 0
4.668 * [taylor]: Taking taylor expansion of (/ 1 (hypot y.re y.im)) in y.im
4.668 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.im
4.668 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
4.668 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
4.668 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.im
4.668 * [taylor]: Taking taylor expansion of y.re in y.im
4.668 * [backup-simplify]: Simplify y.re into y.re
4.668 * [taylor]: Taking taylor expansion of y.re in y.im
4.668 * [backup-simplify]: Simplify y.re into y.re
4.668 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.im
4.668 * [taylor]: Taking taylor expansion of y.im in y.im
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 1 into 1
4.668 * [taylor]: Taking taylor expansion of y.im in y.im
4.668 * [backup-simplify]: Simplify 0 into 0
4.668 * [backup-simplify]: Simplify 1 into 1
4.668 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
4.669 * [backup-simplify]: Simplify (* 0 0) into 0
4.669 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
4.669 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
4.669 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
4.669 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.669 * [backup-simplify]: Simplify (+ 0 0) into 0
4.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
4.670 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.670 * [taylor]: Taking taylor expansion of (/ 1 (hypot y.re y.im)) in y.re
4.670 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
4.670 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
4.670 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
4.670 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
4.670 * [taylor]: Taking taylor expansion of y.re in y.re
4.670 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify 1 into 1
4.670 * [taylor]: Taking taylor expansion of y.re in y.re
4.670 * [backup-simplify]: Simplify 0 into 0
4.670 * [backup-simplify]: Simplify 1 into 1
4.670 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
4.670 * [taylor]: Taking taylor expansion of y.im in y.re
4.670 * [backup-simplify]: Simplify y.im into y.im
4.670 * [taylor]: Taking taylor expansion of y.im in y.re
4.670 * [backup-simplify]: Simplify y.im into y.im
4.670 * [backup-simplify]: Simplify (* 0 0) into 0
4.670 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
4.670 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
4.670 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
4.671 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.671 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
4.671 * [backup-simplify]: Simplify (+ 0 0) into 0
4.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
4.671 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.671 * [taylor]: Taking taylor expansion of (/ 1 (hypot y.re y.im)) in y.re
4.671 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
4.671 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
4.671 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
4.671 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
4.671 * [taylor]: Taking taylor expansion of y.re in y.re
4.671 * [backup-simplify]: Simplify 0 into 0
4.671 * [backup-simplify]: Simplify 1 into 1
4.672 * [taylor]: Taking taylor expansion of y.re in y.re
4.672 * [backup-simplify]: Simplify 0 into 0
4.672 * [backup-simplify]: Simplify 1 into 1
4.672 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
4.672 * [taylor]: Taking taylor expansion of y.im in y.re
4.672 * [backup-simplify]: Simplify y.im into y.im
4.672 * [taylor]: Taking taylor expansion of y.im in y.re
4.672 * [backup-simplify]: Simplify y.im into y.im
4.672 * [backup-simplify]: Simplify (* 0 0) into 0
4.672 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
4.672 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
4.672 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
4.672 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
4.672 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
4.673 * [backup-simplify]: Simplify (+ 0 0) into 0
4.673 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
4.673 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.673 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
4.673 * [taylor]: Taking taylor expansion of y.im in y.im
4.673 * [backup-simplify]: Simplify 0 into 0
4.673 * [backup-simplify]: Simplify 1 into 1
4.673 * [backup-simplify]: Simplify (/ 1 1) into 1
4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.674 * [backup-simplify]: Simplify 0 into 0
4.674 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
4.674 * [taylor]: Taking taylor expansion of 0 in y.im
4.674 * [backup-simplify]: Simplify 0 into 0
4.674 * [backup-simplify]: Simplify 0 into 0
4.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.674 * [backup-simplify]: Simplify 0 into 0
4.675 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
4.675 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
4.675 * [backup-simplify]: Simplify (+ 1 0) into 1
4.676 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
4.676 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ (/ 1/2 y.im) y.im)) (* 0 (/ 0 y.im)))) into (- (* 1/2 (/ 1 (pow y.im 3))))
4.676 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 3)))) in y.im
4.676 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 3))) in y.im
4.676 * [taylor]: Taking taylor expansion of 1/2 in y.im
4.676 * [backup-simplify]: Simplify 1/2 into 1/2
4.676 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 3)) in y.im
4.676 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im
4.676 * [taylor]: Taking taylor expansion of y.im in y.im
4.676 * [backup-simplify]: Simplify 0 into 0
4.676 * [backup-simplify]: Simplify 1 into 1
4.677 * [backup-simplify]: Simplify (* 1 1) into 1
4.677 * [backup-simplify]: Simplify (* 1 1) into 1
4.677 * [backup-simplify]: Simplify (/ 1 1) into 1
4.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.678 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.679 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.680 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.682 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.682 * [backup-simplify]: Simplify (- 0) into 0
4.682 * [backup-simplify]: Simplify 0 into 0
4.682 * [backup-simplify]: Simplify 0 into 0
4.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.683 * [backup-simplify]: Simplify 0 into 0
4.683 * [backup-simplify]: Simplify 0 into 0
4.683 * [backup-simplify]: Simplify (/ 1 (hypot (/ 1 y.re) (/ 1 y.im))) into (/ 1 (hypot (/ 1 y.re) (/ 1 y.im)))
4.683 * [approximate]: Taking taylor expansion of (/ 1 (hypot (/ 1 y.re) (/ 1 y.im))) in (y.re y.im) around 0
4.683 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ 1 y.re) (/ 1 y.im))) in y.im
4.683 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.im
4.683 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
4.683 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
4.683 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
4.683 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
4.683 * [taylor]: Taking taylor expansion of y.re in y.im
4.683 * [backup-simplify]: Simplify y.re into y.re
4.683 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.683 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
4.683 * [taylor]: Taking taylor expansion of y.re in y.im
4.683 * [backup-simplify]: Simplify y.re into y.re
4.683 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
4.683 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
4.683 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
4.683 * [taylor]: Taking taylor expansion of y.im in y.im
4.683 * [backup-simplify]: Simplify 0 into 0
4.683 * [backup-simplify]: Simplify 1 into 1
4.684 * [backup-simplify]: Simplify (/ 1 1) into 1
4.684 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
4.684 * [taylor]: Taking taylor expansion of y.im in y.im
4.684 * [backup-simplify]: Simplify 0 into 0
4.684 * [backup-simplify]: Simplify 1 into 1
4.684 * [backup-simplify]: Simplify (/ 1 1) into 1
4.684 * [backup-simplify]: Simplify (* 1 1) into 1
4.684 * [backup-simplify]: Simplify (+ 0 1) into 1
4.685 * [backup-simplify]: Simplify (sqrt 1) into 1
4.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.686 * [backup-simplify]: Simplify (+ 0 0) into 0
4.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.687 * [backup-simplify]: Simplify (/ 1 1) into 1
4.687 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ 1 y.re) (/ 1 y.im))) in y.re
4.687 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
4.687 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
4.687 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
4.687 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
4.687 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
4.687 * [taylor]: Taking taylor expansion of y.re in y.re
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify 1 into 1
4.687 * [backup-simplify]: Simplify (/ 1 1) into 1
4.687 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
4.687 * [taylor]: Taking taylor expansion of y.re in y.re
4.687 * [backup-simplify]: Simplify 0 into 0
4.687 * [backup-simplify]: Simplify 1 into 1
4.688 * [backup-simplify]: Simplify (/ 1 1) into 1
4.688 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
4.688 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
4.688 * [taylor]: Taking taylor expansion of y.im in y.re
4.688 * [backup-simplify]: Simplify y.im into y.im
4.688 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.688 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
4.688 * [taylor]: Taking taylor expansion of y.im in y.re
4.688 * [backup-simplify]: Simplify y.im into y.im
4.688 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.688 * [backup-simplify]: Simplify (* 1 1) into 1
4.688 * [backup-simplify]: Simplify (+ 1 0) into 1
4.689 * [backup-simplify]: Simplify (sqrt 1) into 1
4.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.690 * [backup-simplify]: Simplify (+ 0 0) into 0
4.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.691 * [backup-simplify]: Simplify (/ 1 1) into 1
4.691 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ 1 y.re) (/ 1 y.im))) in y.re
4.691 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
4.691 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
4.691 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
4.691 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
4.691 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
4.691 * [taylor]: Taking taylor expansion of y.re in y.re
4.691 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify 1 into 1
4.691 * [backup-simplify]: Simplify (/ 1 1) into 1
4.691 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
4.691 * [taylor]: Taking taylor expansion of y.re in y.re
4.691 * [backup-simplify]: Simplify 0 into 0
4.691 * [backup-simplify]: Simplify 1 into 1
4.691 * [backup-simplify]: Simplify (/ 1 1) into 1
4.691 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
4.691 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
4.692 * [taylor]: Taking taylor expansion of y.im in y.re
4.692 * [backup-simplify]: Simplify y.im into y.im
4.692 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.692 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
4.692 * [taylor]: Taking taylor expansion of y.im in y.re
4.692 * [backup-simplify]: Simplify y.im into y.im
4.692 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
4.692 * [backup-simplify]: Simplify (* 1 1) into 1
4.692 * [backup-simplify]: Simplify (+ 1 0) into 1
4.692 * [backup-simplify]: Simplify (sqrt 1) into 1
4.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.694 * [backup-simplify]: Simplify (+ 0 0) into 0
4.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.694 * [backup-simplify]: Simplify (/ 1 1) into 1
4.695 * [taylor]: Taking taylor expansion of 1 in y.im
4.695 * [backup-simplify]: Simplify 1 into 1
4.695 * [backup-simplify]: Simplify 0 into 0
4.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.695 * [taylor]: Taking taylor expansion of 0 in y.im
4.695 * [backup-simplify]: Simplify 0 into 0
4.695 * [backup-simplify]: Simplify 0 into 0
4.695 * [backup-simplify]: Simplify 0 into 0
4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.697 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
4.697 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
4.698 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
4.698 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1/2 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (/ 1 (pow y.im 2))))
4.698 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in y.im
4.698 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in y.im
4.698 * [taylor]: Taking taylor expansion of 1/2 in y.im
4.698 * [backup-simplify]: Simplify 1/2 into 1/2
4.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
4.698 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
4.698 * [taylor]: Taking taylor expansion of y.im in y.im
4.698 * [backup-simplify]: Simplify 0 into 0
4.698 * [backup-simplify]: Simplify 1 into 1
4.699 * [backup-simplify]: Simplify (* 1 1) into 1
4.699 * [backup-simplify]: Simplify (/ 1 1) into 1
4.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.700 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.701 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.703 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.703 * [backup-simplify]: Simplify (- 0) into 0
4.703 * [backup-simplify]: Simplify 0 into 0
4.703 * [backup-simplify]: Simplify 0 into 0
4.703 * [backup-simplify]: Simplify 0 into 0
4.703 * [backup-simplify]: Simplify 0 into 0
4.703 * [backup-simplify]: Simplify (/ 1 (hypot (/ 1 (- y.re)) (/ 1 (- y.im)))) into (/ 1 (hypot (/ -1 y.re) (/ -1 y.im)))
4.703 * [approximate]: Taking taylor expansion of (/ 1 (hypot (/ -1 y.re) (/ -1 y.im))) in (y.re y.im) around 0
4.703 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ -1 y.re) (/ -1 y.im))) in y.im
4.703 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.im
4.703 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
4.703 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.im
4.703 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.im
4.703 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
4.703 * [taylor]: Taking taylor expansion of -1 in y.im
4.703 * [backup-simplify]: Simplify -1 into -1
4.703 * [taylor]: Taking taylor expansion of y.re in y.im
4.703 * [backup-simplify]: Simplify y.re into y.re
4.703 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.703 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
4.703 * [taylor]: Taking taylor expansion of -1 in y.im
4.703 * [backup-simplify]: Simplify -1 into -1
4.703 * [taylor]: Taking taylor expansion of y.re in y.im
4.704 * [backup-simplify]: Simplify y.re into y.re
4.704 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
4.704 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.im
4.704 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
4.704 * [taylor]: Taking taylor expansion of -1 in y.im
4.704 * [backup-simplify]: Simplify -1 into -1
4.704 * [taylor]: Taking taylor expansion of y.im in y.im
4.704 * [backup-simplify]: Simplify 0 into 0
4.704 * [backup-simplify]: Simplify 1 into 1
4.704 * [backup-simplify]: Simplify (/ -1 1) into -1
4.704 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
4.704 * [taylor]: Taking taylor expansion of -1 in y.im
4.704 * [backup-simplify]: Simplify -1 into -1
4.704 * [taylor]: Taking taylor expansion of y.im in y.im
4.704 * [backup-simplify]: Simplify 0 into 0
4.704 * [backup-simplify]: Simplify 1 into 1
4.704 * [backup-simplify]: Simplify (/ -1 1) into -1
4.705 * [backup-simplify]: Simplify (* -1 -1) into 1
4.705 * [backup-simplify]: Simplify (+ 0 1) into 1
4.705 * [backup-simplify]: Simplify (sqrt 1) into 1
4.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.706 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.707 * [backup-simplify]: Simplify (+ 0 0) into 0
4.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.707 * [backup-simplify]: Simplify (/ 1 1) into 1
4.707 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
4.707 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
4.707 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
4.707 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
4.707 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
4.707 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
4.707 * [taylor]: Taking taylor expansion of -1 in y.re
4.707 * [backup-simplify]: Simplify -1 into -1
4.707 * [taylor]: Taking taylor expansion of y.re in y.re
4.707 * [backup-simplify]: Simplify 0 into 0
4.707 * [backup-simplify]: Simplify 1 into 1
4.708 * [backup-simplify]: Simplify (/ -1 1) into -1
4.708 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
4.708 * [taylor]: Taking taylor expansion of -1 in y.re
4.708 * [backup-simplify]: Simplify -1 into -1
4.708 * [taylor]: Taking taylor expansion of y.re in y.re
4.708 * [backup-simplify]: Simplify 0 into 0
4.708 * [backup-simplify]: Simplify 1 into 1
4.708 * [backup-simplify]: Simplify (/ -1 1) into -1
4.708 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
4.708 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
4.708 * [taylor]: Taking taylor expansion of -1 in y.re
4.708 * [backup-simplify]: Simplify -1 into -1
4.708 * [taylor]: Taking taylor expansion of y.im in y.re
4.708 * [backup-simplify]: Simplify y.im into y.im
4.708 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.708 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
4.708 * [taylor]: Taking taylor expansion of -1 in y.re
4.708 * [backup-simplify]: Simplify -1 into -1
4.708 * [taylor]: Taking taylor expansion of y.im in y.re
4.708 * [backup-simplify]: Simplify y.im into y.im
4.708 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.709 * [backup-simplify]: Simplify (* -1 -1) into 1
4.709 * [backup-simplify]: Simplify (+ 1 0) into 1
4.709 * [backup-simplify]: Simplify (sqrt 1) into 1
4.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.710 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.710 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.711 * [backup-simplify]: Simplify (+ 0 0) into 0
4.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.711 * [backup-simplify]: Simplify (/ 1 1) into 1
4.711 * [taylor]: Taking taylor expansion of (/ 1 (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
4.711 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
4.712 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
4.712 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
4.712 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
4.712 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
4.712 * [taylor]: Taking taylor expansion of -1 in y.re
4.712 * [backup-simplify]: Simplify -1 into -1
4.712 * [taylor]: Taking taylor expansion of y.re in y.re
4.712 * [backup-simplify]: Simplify 0 into 0
4.712 * [backup-simplify]: Simplify 1 into 1
4.712 * [backup-simplify]: Simplify (/ -1 1) into -1
4.712 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
4.712 * [taylor]: Taking taylor expansion of -1 in y.re
4.712 * [backup-simplify]: Simplify -1 into -1
4.712 * [taylor]: Taking taylor expansion of y.re in y.re
4.712 * [backup-simplify]: Simplify 0 into 0
4.712 * [backup-simplify]: Simplify 1 into 1
4.712 * [backup-simplify]: Simplify (/ -1 1) into -1
4.712 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
4.712 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
4.712 * [taylor]: Taking taylor expansion of -1 in y.re
4.712 * [backup-simplify]: Simplify -1 into -1
4.712 * [taylor]: Taking taylor expansion of y.im in y.re
4.712 * [backup-simplify]: Simplify y.im into y.im
4.712 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.712 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
4.712 * [taylor]: Taking taylor expansion of -1 in y.re
4.712 * [backup-simplify]: Simplify -1 into -1
4.712 * [taylor]: Taking taylor expansion of y.im in y.re
4.712 * [backup-simplify]: Simplify y.im into y.im
4.713 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
4.713 * [backup-simplify]: Simplify (* -1 -1) into 1
4.713 * [backup-simplify]: Simplify (+ 1 0) into 1
4.713 * [backup-simplify]: Simplify (sqrt 1) into 1
4.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
4.715 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
4.715 * [backup-simplify]: Simplify (+ 0 0) into 0
4.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
4.716 * [backup-simplify]: Simplify (/ 1 1) into 1
4.716 * [taylor]: Taking taylor expansion of 1 in y.im
4.716 * [backup-simplify]: Simplify 1 into 1
4.716 * [backup-simplify]: Simplify 0 into 0
4.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.716 * [taylor]: Taking taylor expansion of 0 in y.im
4.716 * [backup-simplify]: Simplify 0 into 0
4.716 * [backup-simplify]: Simplify 0 into 0
4.716 * [backup-simplify]: Simplify 0 into 0
4.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.718 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
4.718 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
4.718 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
4.719 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
4.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1/2 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (* 1/2 (/ 1 (pow y.im 2))))
4.719 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in y.im
4.719 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in y.im
4.719 * [taylor]: Taking taylor expansion of 1/2 in y.im
4.719 * [backup-simplify]: Simplify 1/2 into 1/2
4.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
4.719 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
4.719 * [taylor]: Taking taylor expansion of y.im in y.im
4.719 * [backup-simplify]: Simplify 0 into 0
4.719 * [backup-simplify]: Simplify 1 into 1
4.722 * [backup-simplify]: Simplify (* 1 1) into 1
4.723 * [backup-simplify]: Simplify (/ 1 1) into 1
4.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
4.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
4.726 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
4.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
4.729 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
4.730 * [backup-simplify]: Simplify (- 0) into 0
4.730 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify 0 into 0
4.730 * [backup-simplify]: Simplify 0 into 0
4.730 * * * [progress]: simplifying candidates
4.733 * [simplify]: Simplifying:
  (expm1 (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (log1p (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (- (log (- (* x.im y.re) (* x.re y.im))) (log (hypot y.re y.im)))
  (log (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (exp (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (/ (* (* (- (* x.im y.re) (* x.re y.im)) (- (* x.im y.re) (* x.re y.im))) (- (* x.im y.re) (* x.re y.im))) (* (* (hypot y.re y.im) (hypot y.re y.im)) (hypot y.re y.im)))
  (* (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (* (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (- (- (* x.im y.re) (* x.re y.im)))
  (- (hypot y.re y.im))
  (/ (* x.im y.re) (hypot y.re y.im))
  (/ (* x.re y.im) (hypot y.re y.im))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) 1)
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) 1)
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im)))
  (/ 1 1)
  (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))
  (/ 1 (hypot y.re y.im))
  (/ (hypot y.re y.im) (- (* x.im y.re) (* x.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) 1)
  (/ (hypot y.re y.im) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (/ (hypot y.re y.im) (sqrt (- (* x.im y.re) (* x.re y.im))))
  (/ (hypot y.re y.im) (- (* x.im y.re) (* x.re y.im)))
  (* (hypot y.re y.im) (+ (* (* x.im y.re) (* x.im y.re)) (+ (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.re y.im)))))
  (* (hypot y.re y.im) (+ (* x.im y.re) (* x.re y.im)))
  (fma x.im y.re (- (* y.im x.re)))
  (fma (- y.im) x.re (* y.im x.re))
  (expm1 (- (* x.im y.re) (* x.re y.im)))
  (log1p (- (* x.im y.re) (* x.re y.im)))
  (- (* x.re y.im))
  (/ (exp (* x.im y.re)) (exp (* x.re y.im)))
  (log (- (* x.im y.re) (* x.re y.im)))
  (exp (- (* x.im y.re) (* x.re y.im)))
  (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (cbrt (- (* x.im y.re) (* x.re y.im)))
  (* (* (- (* x.im y.re) (* x.re y.im)) (- (* x.im y.re) (* x.re y.im))) (- (* x.im y.re) (* x.re y.im)))
  (sqrt (- (* x.im y.re) (* x.re y.im)))
  (sqrt (- (* x.im y.re) (* x.re y.im)))
  (- (pow (* x.im y.re) 3) (pow (* x.re y.im) 3))
  (+ (* (* x.im y.re) (* x.im y.re)) (+ (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.re y.im))))
  (- (* x.re y.im))
  (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.re y.im)))
  (+ (* x.im y.re) (* x.re y.im))
  (- (* x.re y.im))
  (expm1 (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (log1p (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (+ (- (log (hypot y.re y.im))) (- (log (- (* x.im y.re) (* x.re y.im))) (log (hypot y.re y.im))))
  (+ (- (log (hypot y.re y.im))) (log (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (+ (- 0 (log (hypot y.re y.im))) (- (log (- (* x.im y.re) (* x.re y.im))) (log (hypot y.re y.im))))
  (+ (- 0 (log (hypot y.re y.im))) (log (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (+ (- (log 1) (log (hypot y.re y.im))) (- (log (- (* x.im y.re) (* x.re y.im))) (log (hypot y.re y.im))))
  (+ (- (log 1) (log (hypot y.re y.im))) (log (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (+ (log (/ 1 (hypot y.re y.im))) (- (log (- (* x.im y.re) (* x.re y.im))) (log (hypot y.re y.im))))
  (+ (log (/ 1 (hypot y.re y.im))) (log (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (log (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (exp (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* (/ (* (* 1 1) 1) (* (* (hypot y.re y.im) (hypot y.re y.im)) (hypot y.re y.im))) (/ (* (* (- (* x.im y.re) (* x.re y.im)) (- (* x.im y.re) (* x.re y.im))) (- (* x.im y.re) (* x.re y.im))) (* (* (hypot y.re y.im) (hypot y.re y.im)) (hypot y.re y.im))))
  (* (/ (* (* 1 1) 1) (* (* (hypot y.re y.im) (hypot y.re y.im)) (hypot y.re y.im))) (* (* (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* (* (* (/ 1 (hypot y.re y.im)) (/ 1 (hypot y.re y.im))) (/ 1 (hypot y.re y.im))) (/ (* (* (- (* x.im y.re) (* x.re y.im)) (- (* x.im y.re) (* x.re y.im))) (- (* x.im y.re) (* x.re y.im))) (* (* (hypot y.re y.im) (hypot y.re y.im)) (hypot y.re y.im))))
  (* (* (* (/ 1 (hypot y.re y.im)) (/ 1 (hypot y.re y.im))) (/ 1 (hypot y.re y.im))) (* (* (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* (cbrt (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))) (cbrt (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))))
  (cbrt (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* (* (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))) (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (sqrt (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (sqrt (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* 1 (- (* x.im y.re) (* x.re y.im)))
  (* (hypot y.re y.im) (hypot y.re y.im))
  (* (sqrt (/ 1 (hypot y.re y.im))) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* (sqrt (/ 1 (hypot y.re y.im))) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* (sqrt (/ 1 (hypot y.re y.im))) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))))
  (* (sqrt (/ 1 (hypot y.re y.im))) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))))
  (* (/ (sqrt 1) (sqrt (hypot y.re y.im))) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* (/ (sqrt 1) (sqrt (hypot y.re y.im))) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* (/ (sqrt 1) (sqrt (hypot y.re y.im))) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))))
  (* (/ (sqrt 1) (sqrt (hypot y.re y.im))) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))))
  (* (/ 1 (sqrt (hypot y.re y.im))) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* (/ 1 (sqrt (hypot y.re y.im))) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* (/ 1 (sqrt (hypot y.re y.im))) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))))
  (* (/ 1 (sqrt (hypot y.re y.im))) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))))
  (* (/ 1 (hypot y.re y.im)) (* (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))))
  (* (/ 1 (hypot y.re y.im)) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* (/ 1 (hypot y.re y.im)) (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))))
  (* (/ 1 (hypot y.re y.im)) (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (sqrt (hypot y.re y.im))))
  (* (/ 1 (hypot y.re y.im)) (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) 1))
  (* (/ 1 (hypot y.re y.im)) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))))
  (* (/ 1 (hypot y.re y.im)) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))))
  (* (/ 1 (hypot y.re y.im)) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) 1))
  (* (/ 1 (hypot y.re y.im)) (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))))
  (* (/ 1 (hypot y.re y.im)) (/ 1 (sqrt (hypot y.re y.im))))
  (* (/ 1 (hypot y.re y.im)) (/ 1 1))
  (* (/ 1 (hypot y.re y.im)) 1)
  (* (/ 1 (hypot y.re y.im)) (- (* x.im y.re) (* x.re y.im)))
  (* (cbrt (/ 1 (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (sqrt (/ 1 (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (/ (cbrt 1) (cbrt (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (/ (cbrt 1) (sqrt (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (/ (cbrt 1) (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (/ (sqrt 1) (cbrt (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (/ (sqrt 1) (sqrt (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (/ (sqrt 1) (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (/ 1 (cbrt (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (/ 1 (sqrt (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (/ 1 (hypot y.re y.im)) (- (* x.im y.re) (* x.re y.im)))
  (* 1 (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (expm1 (/ 1 (hypot y.re y.im)))
  (log1p (/ 1 (hypot y.re y.im)))
  (- 1)
  (- (log (hypot y.re y.im)))
  (- 0 (log (hypot y.re y.im)))
  (- (log 1) (log (hypot y.re y.im)))
  (log (/ 1 (hypot y.re y.im)))
  (exp (/ 1 (hypot y.re y.im)))
  (/ (* (* 1 1) 1) (* (* (hypot y.re y.im) (hypot y.re y.im)) (hypot y.re y.im)))
  (* (cbrt (/ 1 (hypot y.re y.im))) (cbrt (/ 1 (hypot y.re y.im))))
  (cbrt (/ 1 (hypot y.re y.im)))
  (* (* (/ 1 (hypot y.re y.im)) (/ 1 (hypot y.re y.im))) (/ 1 (hypot y.re y.im)))
  (sqrt (/ 1 (hypot y.re y.im)))
  (sqrt (/ 1 (hypot y.re y.im)))
  (- 1)
  (- (hypot y.re y.im))
  (/ (* (cbrt 1) (cbrt 1)) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (cbrt 1) (cbrt (hypot y.re y.im)))
  (/ (* (cbrt 1) (cbrt 1)) (sqrt (hypot y.re y.im)))
  (/ (cbrt 1) (sqrt (hypot y.re y.im)))
  (/ (* (cbrt 1) (cbrt 1)) 1)
  (/ (cbrt 1) (hypot y.re y.im))
  (/ (sqrt 1) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (sqrt 1) (cbrt (hypot y.re y.im)))
  (/ (sqrt 1) (sqrt (hypot y.re y.im)))
  (/ (sqrt 1) (sqrt (hypot y.re y.im)))
  (/ (sqrt 1) 1)
  (/ (sqrt 1) (hypot y.re y.im))
  (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ 1 (cbrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ 1 1)
  (/ 1 (hypot y.re y.im))
  (/ 1 (hypot y.re y.im))
  (/ (hypot y.re y.im) 1)
  (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ 1 1)
  (/ (hypot y.re y.im) (cbrt 1))
  (/ (hypot y.re y.im) (sqrt 1))
  (/ (hypot y.re y.im) 1)
  (* -1 x.re)
  x.im
  (* -1 x.im)
  0
  (- (* y.re x.im) (* y.im x.re))
  (- (* y.re x.im) (* y.im x.re))
  0
  0
  0
  0
  0
  0
4.740 * * [simplify]: Extracting # 0 : cost  0
4.740 * * [simplify]: Extracting # 1 : cost  0
4.741 * * [simplify]: Extracting # 2 : cost  0
4.741 * * [simplify]: Extracting # 3 : cost  0
4.741 * * [simplify]: Extracting # 4 : cost  0
4.742 * * [simplify]: Extracting # 5 : cost  0
4.742 * * [simplify]: Extracting # 6 : cost  0
4.743 * * [simplify]: Extracting # 7 : cost  0
4.743 * * [simplify]: iteration  0 :  178  enodes  (cost  2462 )
4.807 * * [simplify]: Extracting # 0 : cost  0
4.812 * * [simplify]: Extracting # 1 : cost  0
4.812 * * [simplify]: Extracting # 2 : cost  0
4.812 * * [simplify]: Extracting # 3 : cost  0
4.813 * * [simplify]: iteration  1 :  470  enodes  (cost  2264 )
5.070 * * [simplify]: Extracting # 0 : cost  0
5.072 * * [simplify]: Extracting # 1 : cost  0
5.073 * * [simplify]: Extracting # 2 : cost  0
5.075 * * [simplify]: Extracting # 3 : cost  0
5.076 * * [simplify]: Extracting # 4 : cost  0
5.078 * * [simplify]: Extracting # 5 : cost  0
5.079 * * [simplify]: iteration  2 :  1552  enodes  (cost  1997 )
6.622 * * [simplify]: Extracting # 0 : cost  0
6.628 * * [simplify]: Extracting # 1 : cost  0
6.633 * * [simplify]: Extracting # 2 : cost  0
6.643 * * [simplify]: Extracting # 3 : cost  0
6.648 * * [simplify]: Extracting # 4 : cost  0
6.653 * * [simplify]: iteration done:  5000  enodes  (cost  1997 )
6.654 * [simplify]: Simplified to:
  (expm1 (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (log1p (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (log (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (log (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (exp (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (pow (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) 3)
  (* (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (pow (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) 3)
  (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (- (- (* x.im y.re) (* x.re y.im)))
  (- (hypot y.re y.im))
  (/ (* x.im y.re) (hypot y.re y.im))
  (/ (* x.re y.im) (hypot y.re y.im))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im)))
  (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im)))
  (sqrt (- (* x.im y.re) (* x.re y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (/ (/ 1 (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im)))
  1
  (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))
  (/ 1 (hypot y.re y.im))
  (/ (hypot y.re y.im) (- (* x.im y.re) (* x.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im)))
  (- (* x.im y.re) (* x.re y.im))
  (/ (hypot y.re y.im) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (/ (hypot y.re y.im) (sqrt (- (* x.im y.re) (* x.re y.im))))
  (/ (hypot y.re y.im) (- (* x.im y.re) (* x.re y.im)))
  (* (hypot y.re y.im) (fma (* x.im y.re) (* x.im y.re) (* (* y.im x.re) (fma x.im y.re (* x.re y.im)))))
  (* (hypot y.re y.im) (fma x.im y.re (* x.re y.im)))
  (- (* x.im y.re) (* x.re y.im))
  (* x.re (+ (- y.im) y.im))
  (expm1 (- (* x.im y.re) (* x.re y.im)))
  (log1p (- (* x.im y.re) (* x.re y.im)))
  (- (* y.im x.re))
  (exp (- (* x.im y.re) (* x.re y.im)))
  (log (- (* x.im y.re) (* x.re y.im)))
  (exp (- (* x.im y.re) (* x.re y.im)))
  (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (cbrt (- (* x.im y.re) (* x.re y.im)))
  (pow (- (* x.im y.re) (* x.re y.im)) 3)
  (sqrt (- (* x.im y.re) (* x.re y.im)))
  (sqrt (- (* x.im y.re) (* x.re y.im)))
  (- (pow (* x.im y.re) 3) (pow (* x.re y.im) 3))
  (fma (* x.im y.re) (* x.im y.re) (* (* y.im x.re) (fma x.im y.re (* x.re y.im))))
  (- (* y.im x.re))
  (* (fma x.im y.re (* x.re y.im)) (- (* x.im y.re) (* x.re y.im)))
  (fma y.re x.im (* y.im x.re))
  (- (* y.im x.re))
  (expm1 (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (log1p (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))
  (log (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (log (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (log (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (log (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (log (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (log (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (log (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (log (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (log (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (exp (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (pow (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)) 3)
  (pow (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)) 3)
  (pow (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)) 3)
  (pow (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)) 3)
  (* (cbrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))) (cbrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))))
  (cbrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (pow (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)) 3)
  (sqrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (sqrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (- (* x.im y.re) (* x.re y.im))
  (* (hypot y.re y.im) (hypot y.re y.im))
  (* (sqrt (/ 1 (hypot y.re y.im))) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* (sqrt (/ 1 (hypot y.re y.im))) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (* (sqrt (/ 1 (hypot y.re y.im))) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))))
  (* (sqrt (/ 1 (hypot y.re y.im))) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (* (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))) (hypot y.re y.im))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (hypot y.re y.im))
  (/ (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) (hypot y.re y.im))
  (/ (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (sqrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (hypot y.re y.im))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) (hypot y.re y.im))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (/ (/ 1 (hypot y.re y.im)) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ 1 (hypot y.re y.im)) (sqrt (hypot y.re y.im)))
  (/ 1 (hypot y.re y.im))
  (/ 1 (hypot y.re y.im))
  (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))
  (* (cbrt (/ 1 (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (sqrt (/ 1 (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (cbrt (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (sqrt (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (cbrt (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (sqrt (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (cbrt (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (sqrt (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))
  (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))
  (expm1 (/ 1 (hypot y.re y.im)))
  (log1p (/ 1 (hypot y.re y.im)))
  -1
  (- (log (hypot y.re y.im)))
  (- (log (hypot y.re y.im)))
  (- (log (hypot y.re y.im)))
  (- (log (hypot y.re y.im)))
  (exp (/ 1 (hypot y.re y.im)))
  (pow (/ 1 (hypot y.re y.im)) 3)
  (* (cbrt (/ 1 (hypot y.re y.im))) (cbrt (/ 1 (hypot y.re y.im))))
  (cbrt (/ 1 (hypot y.re y.im)))
  (pow (/ 1 (hypot y.re y.im)) 3)
  (sqrt (/ 1 (hypot y.re y.im)))
  (sqrt (/ 1 (hypot y.re y.im)))
  -1
  (- (hypot y.re y.im))
  (/ (/ 1 (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ 1 (cbrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  1
  (/ 1 (hypot y.re y.im))
  (/ (/ 1 (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ 1 (cbrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  1
  (/ 1 (hypot y.re y.im))
  (/ (/ 1 (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ 1 (cbrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  1
  (/ 1 (hypot y.re y.im))
  (/ 1 (hypot y.re y.im))
  (hypot y.re y.im)
  (/ (/ 1 (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  1
  (hypot y.re y.im)
  (hypot y.re y.im)
  (hypot y.re y.im)
  (- x.re)
  x.im
  (- x.im)
  0
  (- (* x.im y.re) (* x.re y.im))
  (- (* x.im y.re) (* x.re y.im))
  0
  0
  0
  0
  0
  0
6.654 * * * [progress]: adding candidates to table
7.039 * * [progress]: iteration 3 / 4
7.039 * * * [progress]: picking best candidate
7.068 * * * * [pick]: Picked  #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))))>
7.068 * * * [progress]: localizing error
7.081 * * * [progress]: generating rewritten candidates
7.081 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1)
7.108 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 1)
7.132 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2)
7.174 * * * [progress]: generating series expansions
7.174 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1)
7.175 * [backup-simplify]: Simplify (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) into (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.re y.im))
7.175 * [approximate]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.re y.im)) in (x.im y.re x.re y.im) around 0
7.175 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.re y.im)) in y.im
7.175 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.im
7.175 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
7.175 * [taylor]: Taking taylor expansion of y.re in y.im
7.175 * [backup-simplify]: Simplify y.re into y.re
7.175 * [taylor]: Taking taylor expansion of x.im in y.im
7.175 * [backup-simplify]: Simplify x.im into x.im
7.175 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
7.175 * [taylor]: Taking taylor expansion of y.im in y.im
7.175 * [backup-simplify]: Simplify 0 into 0
7.175 * [backup-simplify]: Simplify 1 into 1
7.175 * [taylor]: Taking taylor expansion of x.re in y.im
7.175 * [backup-simplify]: Simplify x.re into x.re
7.175 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.im
7.175 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
7.176 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
7.176 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.im
7.176 * [taylor]: Taking taylor expansion of y.re in y.im
7.176 * [backup-simplify]: Simplify y.re into y.re
7.176 * [taylor]: Taking taylor expansion of y.re in y.im
7.176 * [backup-simplify]: Simplify y.re into y.re
7.176 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.im
7.176 * [taylor]: Taking taylor expansion of y.im in y.im
7.176 * [backup-simplify]: Simplify 0 into 0
7.176 * [backup-simplify]: Simplify 1 into 1
7.176 * [taylor]: Taking taylor expansion of y.im in y.im
7.176 * [backup-simplify]: Simplify 0 into 0
7.176 * [backup-simplify]: Simplify 1 into 1
7.176 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
7.177 * [backup-simplify]: Simplify (* 0 0) into 0
7.177 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
7.177 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
7.177 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
7.178 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.178 * [backup-simplify]: Simplify (+ 0 0) into 0
7.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
7.178 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.178 * [backup-simplify]: Simplify (* 0 x.re) into 0
7.179 * [backup-simplify]: Simplify (- 0) into 0
7.179 * [backup-simplify]: Simplify (+ (* y.re x.im) 0) into (* y.re x.im)
7.179 * [backup-simplify]: Simplify (/ (* y.re x.im) y.re) into x.im
7.179 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.re y.im)) in x.re
7.179 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.re
7.179 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
7.179 * [taylor]: Taking taylor expansion of y.re in x.re
7.179 * [backup-simplify]: Simplify y.re into y.re
7.179 * [taylor]: Taking taylor expansion of x.im in x.re
7.179 * [backup-simplify]: Simplify x.im into x.im
7.179 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.179 * [taylor]: Taking taylor expansion of y.im in x.re
7.179 * [backup-simplify]: Simplify y.im into y.im
7.179 * [taylor]: Taking taylor expansion of x.re in x.re
7.179 * [backup-simplify]: Simplify 0 into 0
7.179 * [backup-simplify]: Simplify 1 into 1
7.179 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.re
7.179 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
7.179 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
7.179 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.re
7.180 * [taylor]: Taking taylor expansion of y.re in x.re
7.180 * [backup-simplify]: Simplify y.re into y.re
7.180 * [taylor]: Taking taylor expansion of y.re in x.re
7.180 * [backup-simplify]: Simplify y.re into y.re
7.180 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.re
7.180 * [taylor]: Taking taylor expansion of y.im in x.re
7.180 * [backup-simplify]: Simplify y.im into y.im
7.180 * [taylor]: Taking taylor expansion of y.im in x.re
7.180 * [backup-simplify]: Simplify y.im into y.im
7.180 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
7.180 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.180 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
7.180 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
7.180 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
7.181 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.181 * [backup-simplify]: Simplify (+ 0 0) into 0
7.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
7.181 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.182 * [backup-simplify]: Simplify (* y.im 0) into 0
7.182 * [backup-simplify]: Simplify (- 0) into 0
7.182 * [backup-simplify]: Simplify (+ (* y.re x.im) 0) into (* y.re x.im)
7.182 * [backup-simplify]: Simplify (/ (* y.re x.im) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.re x.im))
7.182 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.re y.im)) in y.re
7.182 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.re
7.183 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
7.183 * [taylor]: Taking taylor expansion of y.re in y.re
7.183 * [backup-simplify]: Simplify 0 into 0
7.183 * [backup-simplify]: Simplify 1 into 1
7.183 * [taylor]: Taking taylor expansion of x.im in y.re
7.183 * [backup-simplify]: Simplify x.im into x.im
7.183 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.183 * [taylor]: Taking taylor expansion of y.im in y.re
7.183 * [backup-simplify]: Simplify y.im into y.im
7.183 * [taylor]: Taking taylor expansion of x.re in y.re
7.183 * [backup-simplify]: Simplify x.re into x.re
7.183 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
7.183 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
7.183 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
7.183 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
7.183 * [taylor]: Taking taylor expansion of y.re in y.re
7.183 * [backup-simplify]: Simplify 0 into 0
7.183 * [backup-simplify]: Simplify 1 into 1
7.183 * [taylor]: Taking taylor expansion of y.re in y.re
7.183 * [backup-simplify]: Simplify 0 into 0
7.183 * [backup-simplify]: Simplify 1 into 1
7.183 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
7.183 * [taylor]: Taking taylor expansion of y.im in y.re
7.183 * [backup-simplify]: Simplify y.im into y.im
7.183 * [taylor]: Taking taylor expansion of y.im in y.re
7.183 * [backup-simplify]: Simplify y.im into y.im
7.184 * [backup-simplify]: Simplify (* 0 0) into 0
7.184 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.184 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
7.184 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
7.185 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.185 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.185 * [backup-simplify]: Simplify (+ 0 0) into 0
7.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
7.185 * [backup-simplify]: Simplify (* 0 x.im) into 0
7.185 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.185 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
7.186 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
7.186 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) y.im) into (* -1 x.re)
7.186 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.re y.im)) in x.im
7.186 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
7.186 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.186 * [taylor]: Taking taylor expansion of y.re in x.im
7.186 * [backup-simplify]: Simplify y.re into y.re
7.186 * [taylor]: Taking taylor expansion of x.im in x.im
7.186 * [backup-simplify]: Simplify 0 into 0
7.186 * [backup-simplify]: Simplify 1 into 1
7.186 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.186 * [taylor]: Taking taylor expansion of y.im in x.im
7.186 * [backup-simplify]: Simplify y.im into y.im
7.186 * [taylor]: Taking taylor expansion of x.re in x.im
7.186 * [backup-simplify]: Simplify x.re into x.re
7.186 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.im
7.186 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
7.186 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
7.186 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
7.186 * [taylor]: Taking taylor expansion of y.re in x.im
7.186 * [backup-simplify]: Simplify y.re into y.re
7.186 * [taylor]: Taking taylor expansion of y.re in x.im
7.186 * [backup-simplify]: Simplify y.re into y.re
7.186 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.im
7.186 * [taylor]: Taking taylor expansion of y.im in x.im
7.186 * [backup-simplify]: Simplify y.im into y.im
7.186 * [taylor]: Taking taylor expansion of y.im in x.im
7.186 * [backup-simplify]: Simplify y.im into y.im
7.186 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
7.186 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.187 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
7.187 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
7.187 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
7.187 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.188 * [backup-simplify]: Simplify (+ 0 0) into 0
7.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
7.188 * [backup-simplify]: Simplify (* y.re 0) into 0
7.188 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.188 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
7.188 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
7.188 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* -1 (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re)))
7.189 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (hypot y.re y.im)) in x.im
7.189 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
7.189 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.189 * [taylor]: Taking taylor expansion of y.re in x.im
7.189 * [backup-simplify]: Simplify y.re into y.re
7.189 * [taylor]: Taking taylor expansion of x.im in x.im
7.189 * [backup-simplify]: Simplify 0 into 0
7.189 * [backup-simplify]: Simplify 1 into 1
7.189 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.189 * [taylor]: Taking taylor expansion of y.im in x.im
7.189 * [backup-simplify]: Simplify y.im into y.im
7.189 * [taylor]: Taking taylor expansion of x.re in x.im
7.189 * [backup-simplify]: Simplify x.re into x.re
7.189 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.im
7.189 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
7.189 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
7.189 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
7.189 * [taylor]: Taking taylor expansion of y.re in x.im
7.189 * [backup-simplify]: Simplify y.re into y.re
7.189 * [taylor]: Taking taylor expansion of y.re in x.im
7.189 * [backup-simplify]: Simplify y.re into y.re
7.189 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.im
7.189 * [taylor]: Taking taylor expansion of y.im in x.im
7.189 * [backup-simplify]: Simplify y.im into y.im
7.189 * [taylor]: Taking taylor expansion of y.im in x.im
7.189 * [backup-simplify]: Simplify y.im into y.im
7.189 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
7.189 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.190 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
7.190 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
7.190 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
7.190 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.191 * [backup-simplify]: Simplify (+ 0 0) into 0
7.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
7.191 * [backup-simplify]: Simplify (* y.re 0) into 0
7.191 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.191 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
7.191 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
7.192 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* -1 (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re)))
7.192 * [taylor]: Taking taylor expansion of (* -1 (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re))) in y.re
7.192 * [taylor]: Taking taylor expansion of -1 in y.re
7.192 * [backup-simplify]: Simplify -1 into -1
7.192 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re)) in y.re
7.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re
7.192 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re
7.192 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re
7.192 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
7.192 * [taylor]: Taking taylor expansion of y.im in y.re
7.192 * [backup-simplify]: Simplify y.im into y.im
7.192 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
7.192 * [taylor]: Taking taylor expansion of y.re in y.re
7.192 * [backup-simplify]: Simplify 0 into 0
7.192 * [backup-simplify]: Simplify 1 into 1
7.192 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.192 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2)
7.193 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.193 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im)
7.193 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.194 * [backup-simplify]: Simplify (+ 0 0) into 0
7.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
7.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0
7.194 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.194 * [taylor]: Taking taylor expansion of y.im in y.re
7.194 * [backup-simplify]: Simplify y.im into y.im
7.194 * [taylor]: Taking taylor expansion of x.re in y.re
7.194 * [backup-simplify]: Simplify x.re into x.re
7.194 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.194 * [backup-simplify]: Simplify (* (/ 1 y.im) (* y.im x.re)) into x.re
7.194 * [backup-simplify]: Simplify (* -1 x.re) into (* -1 x.re)
7.194 * [taylor]: Taking taylor expansion of (* -1 x.re) in x.re
7.195 * [taylor]: Taking taylor expansion of -1 in x.re
7.195 * [backup-simplify]: Simplify -1 into -1
7.195 * [taylor]: Taking taylor expansion of x.re in x.re
7.195 * [backup-simplify]: Simplify 0 into 0
7.195 * [backup-simplify]: Simplify 1 into 1
7.195 * [backup-simplify]: Simplify (* -1 0) into 0
7.195 * [taylor]: Taking taylor expansion of 0 in y.im
7.195 * [backup-simplify]: Simplify 0 into 0
7.195 * [backup-simplify]: Simplify 0 into 0
7.196 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.196 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.196 * [backup-simplify]: Simplify (- 0) into 0
7.197 * [backup-simplify]: Simplify (+ y.re 0) into y.re
7.198 * [backup-simplify]: Simplify (- (/ y.re (sqrt (+ (pow y.re 2) (pow y.im 2)))) (+ (* (* -1 (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re))) (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re)
7.199 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re) in y.re
7.199 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re
7.199 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re
7.199 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re
7.199 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
7.199 * [taylor]: Taking taylor expansion of y.im in y.re
7.199 * [backup-simplify]: Simplify y.im into y.im
7.199 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
7.199 * [taylor]: Taking taylor expansion of y.re in y.re
7.199 * [backup-simplify]: Simplify 0 into 0
7.199 * [backup-simplify]: Simplify 1 into 1
7.199 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.199 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2)
7.199 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.199 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im)
7.199 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.200 * [backup-simplify]: Simplify (+ 0 0) into 0
7.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
7.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0
7.201 * [taylor]: Taking taylor expansion of y.re in y.re
7.201 * [backup-simplify]: Simplify 0 into 0
7.201 * [backup-simplify]: Simplify 1 into 1
7.201 * [backup-simplify]: Simplify (* (/ 1 y.im) 0) into 0
7.201 * [taylor]: Taking taylor expansion of 0 in x.re
7.201 * [backup-simplify]: Simplify 0 into 0
7.201 * [taylor]: Taking taylor expansion of 0 in y.im
7.201 * [backup-simplify]: Simplify 0 into 0
7.201 * [backup-simplify]: Simplify 0 into 0
7.201 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.201 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (* y.im x.re))) into 0
7.202 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x.re)) into 0
7.202 * [taylor]: Taking taylor expansion of 0 in x.re
7.202 * [backup-simplify]: Simplify 0 into 0
7.202 * [taylor]: Taking taylor expansion of 0 in y.im
7.202 * [backup-simplify]: Simplify 0 into 0
7.202 * [backup-simplify]: Simplify 0 into 0
7.203 * [backup-simplify]: Simplify (+ (* -1 1) (* 0 0)) into -1
7.203 * [taylor]: Taking taylor expansion of -1 in y.im
7.203 * [backup-simplify]: Simplify -1 into -1
7.203 * [backup-simplify]: Simplify -1 into -1
7.203 * [backup-simplify]: Simplify 0 into 0
7.204 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
7.204 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
7.205 * [backup-simplify]: Simplify (- 0) into 0
7.205 * [backup-simplify]: Simplify (+ 0 0) into 0
7.206 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
7.206 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
7.206 * [backup-simplify]: Simplify (+ 0 0) into 0
7.208 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
7.209 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2)))) (+ (* (* -1 (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re))) (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))) (* (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re) (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))))) into 0
7.209 * [taylor]: Taking taylor expansion of 0 in y.re
7.209 * [backup-simplify]: Simplify 0 into 0
7.209 * [taylor]: Taking taylor expansion of 0 in x.re
7.209 * [backup-simplify]: Simplify 0 into 0
7.209 * [taylor]: Taking taylor expansion of 0 in y.im
7.210 * [backup-simplify]: Simplify 0 into 0
7.210 * [backup-simplify]: Simplify 0 into 0
7.210 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 1) (* 0 0)) into (/ 1 y.im)
7.210 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
7.210 * [taylor]: Taking taylor expansion of y.im in x.re
7.210 * [backup-simplify]: Simplify y.im into y.im
7.210 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.210 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
7.211 * [taylor]: Taking taylor expansion of y.im in y.im
7.211 * [backup-simplify]: Simplify 0 into 0
7.211 * [backup-simplify]: Simplify 1 into 1
7.211 * [backup-simplify]: Simplify (/ 1 1) into 1
7.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.212 * [backup-simplify]: Simplify 0 into 0
7.212 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
7.213 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
7.213 * [backup-simplify]: Simplify (* 1 1) into 1
7.214 * [backup-simplify]: Simplify (+ 0 1) into 1
7.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 1 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into (- (/ 1 (pow y.im 4)))
7.215 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 4))) (pow 0 2) (+)) (* 2 (/ 1 y.im))) into (/ -1/2 (pow y.im 3))
7.216 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 3)) (* y.im x.re)))) into (- (* 1/2 (/ x.re (pow y.im 2))))
7.217 * [backup-simplify]: Simplify (+ (* -1 (- (* 1/2 (/ x.re (pow y.im 2))))) (+ (* 0 0) (* 0 x.re))) into (* 1/2 (/ x.re (pow y.im 2)))
7.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.re (pow y.im 2))) in x.re
7.217 * [taylor]: Taking taylor expansion of 1/2 in x.re
7.217 * [backup-simplify]: Simplify 1/2 into 1/2
7.217 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 2)) in x.re
7.217 * [taylor]: Taking taylor expansion of x.re in x.re
7.217 * [backup-simplify]: Simplify 0 into 0
7.217 * [backup-simplify]: Simplify 1 into 1
7.217 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
7.217 * [taylor]: Taking taylor expansion of y.im in x.re
7.217 * [backup-simplify]: Simplify y.im into y.im
7.217 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.218 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.218 * [taylor]: Taking taylor expansion of 0 in y.im
7.218 * [backup-simplify]: Simplify 0 into 0
7.218 * [backup-simplify]: Simplify 0 into 0
7.218 * [taylor]: Taking taylor expansion of 0 in y.im
7.218 * [backup-simplify]: Simplify 0 into 0
7.218 * [backup-simplify]: Simplify 0 into 0
7.219 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 1) (* 0 0))) into 0
7.219 * [taylor]: Taking taylor expansion of 0 in y.im
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [backup-simplify]: Simplify 0 into 0
7.219 * [backup-simplify]: Simplify (* -1 (* 1 (* x.re (* 1 1)))) into (* -1 x.re)
7.220 * [backup-simplify]: Simplify (/ (- (* (/ 1 x.im) (/ 1 y.re)) (* (/ 1 x.re) (/ 1 y.im))) (hypot (/ 1 y.re) (/ 1 y.im))) into (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ 1 y.re) (/ 1 y.im)))
7.220 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ 1 y.re) (/ 1 y.im))) in (x.im y.re x.re y.im) around 0
7.220 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ 1 y.re) (/ 1 y.im))) in y.im
7.220 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
7.220 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
7.220 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
7.220 * [taylor]: Taking taylor expansion of y.re in y.im
7.220 * [backup-simplify]: Simplify y.re into y.re
7.220 * [taylor]: Taking taylor expansion of x.im in y.im
7.220 * [backup-simplify]: Simplify x.im into x.im
7.220 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.220 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
7.220 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
7.220 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
7.220 * [taylor]: Taking taylor expansion of y.im in y.im
7.220 * [backup-simplify]: Simplify 0 into 0
7.220 * [backup-simplify]: Simplify 1 into 1
7.220 * [taylor]: Taking taylor expansion of x.re in y.im
7.220 * [backup-simplify]: Simplify x.re into x.re
7.220 * [backup-simplify]: Simplify (* 0 x.re) into 0
7.221 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
7.221 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
7.221 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.im
7.221 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
7.221 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
7.221 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
7.221 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
7.221 * [taylor]: Taking taylor expansion of y.re in y.im
7.221 * [backup-simplify]: Simplify y.re into y.re
7.221 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.221 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
7.221 * [taylor]: Taking taylor expansion of y.re in y.im
7.222 * [backup-simplify]: Simplify y.re into y.re
7.222 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.222 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
7.222 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
7.222 * [taylor]: Taking taylor expansion of y.im in y.im
7.222 * [backup-simplify]: Simplify 0 into 0
7.222 * [backup-simplify]: Simplify 1 into 1
7.222 * [backup-simplify]: Simplify (/ 1 1) into 1
7.222 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
7.222 * [taylor]: Taking taylor expansion of y.im in y.im
7.222 * [backup-simplify]: Simplify 0 into 0
7.222 * [backup-simplify]: Simplify 1 into 1
7.223 * [backup-simplify]: Simplify (/ 1 1) into 1
7.223 * [backup-simplify]: Simplify (* 1 1) into 1
7.223 * [backup-simplify]: Simplify (+ 0 1) into 1
7.224 * [backup-simplify]: Simplify (sqrt 1) into 1
7.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.226 * [backup-simplify]: Simplify (+ 0 0) into 0
7.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.227 * [backup-simplify]: Simplify (- (/ 1 x.re)) into (- (/ 1 x.re))
7.227 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x.re))) into (- (/ 1 x.re))
7.227 * [backup-simplify]: Simplify (/ (- (/ 1 x.re)) 1) into (/ -1 x.re)
7.227 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ 1 y.re) (/ 1 y.im))) in x.re
7.227 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
7.227 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
7.227 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
7.227 * [taylor]: Taking taylor expansion of y.re in x.re
7.227 * [backup-simplify]: Simplify y.re into y.re
7.227 * [taylor]: Taking taylor expansion of x.im in x.re
7.227 * [backup-simplify]: Simplify x.im into x.im
7.227 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.228 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
7.228 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
7.228 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.228 * [taylor]: Taking taylor expansion of y.im in x.re
7.228 * [backup-simplify]: Simplify y.im into y.im
7.228 * [taylor]: Taking taylor expansion of x.re in x.re
7.228 * [backup-simplify]: Simplify 0 into 0
7.228 * [backup-simplify]: Simplify 1 into 1
7.228 * [backup-simplify]: Simplify (* y.im 0) into 0
7.228 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
7.228 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.228 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.re
7.228 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
7.228 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
7.228 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
7.228 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
7.229 * [taylor]: Taking taylor expansion of y.re in x.re
7.229 * [backup-simplify]: Simplify y.re into y.re
7.229 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.229 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
7.229 * [taylor]: Taking taylor expansion of y.re in x.re
7.229 * [backup-simplify]: Simplify y.re into y.re
7.229 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.229 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
7.229 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
7.229 * [taylor]: Taking taylor expansion of y.im in x.re
7.229 * [backup-simplify]: Simplify y.im into y.im
7.229 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.229 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
7.229 * [taylor]: Taking taylor expansion of y.im in x.re
7.229 * [backup-simplify]: Simplify y.im into y.im
7.229 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.229 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
7.229 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
7.229 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.230 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
7.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.230 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
7.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.230 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.231 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
7.231 * [backup-simplify]: Simplify (+ 0 0) into 0
7.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.231 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
7.231 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y.im))) into (- (/ 1 y.im))
7.232 * [backup-simplify]: Simplify (/ (- (/ 1 y.im)) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* -1 (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))
7.232 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ 1 y.re) (/ 1 y.im))) in y.re
7.232 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
7.232 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
7.232 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
7.232 * [taylor]: Taking taylor expansion of y.re in y.re
7.232 * [backup-simplify]: Simplify 0 into 0
7.232 * [backup-simplify]: Simplify 1 into 1
7.232 * [taylor]: Taking taylor expansion of x.im in y.re
7.232 * [backup-simplify]: Simplify x.im into x.im
7.232 * [backup-simplify]: Simplify (* 0 x.im) into 0
7.233 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
7.233 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
7.233 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
7.233 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.233 * [taylor]: Taking taylor expansion of y.im in y.re
7.233 * [backup-simplify]: Simplify y.im into y.im
7.233 * [taylor]: Taking taylor expansion of x.re in y.re
7.233 * [backup-simplify]: Simplify x.re into x.re
7.233 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.233 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.233 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
7.233 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
7.233 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
7.233 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
7.233 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
7.233 * [taylor]: Taking taylor expansion of y.re in y.re
7.233 * [backup-simplify]: Simplify 0 into 0
7.233 * [backup-simplify]: Simplify 1 into 1
7.234 * [backup-simplify]: Simplify (/ 1 1) into 1
7.234 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
7.234 * [taylor]: Taking taylor expansion of y.re in y.re
7.234 * [backup-simplify]: Simplify 0 into 0
7.234 * [backup-simplify]: Simplify 1 into 1
7.234 * [backup-simplify]: Simplify (/ 1 1) into 1
7.234 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
7.234 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
7.234 * [taylor]: Taking taylor expansion of y.im in y.re
7.234 * [backup-simplify]: Simplify y.im into y.im
7.234 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.234 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
7.234 * [taylor]: Taking taylor expansion of y.im in y.re
7.234 * [backup-simplify]: Simplify y.im into y.im
7.234 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.235 * [backup-simplify]: Simplify (* 1 1) into 1
7.235 * [backup-simplify]: Simplify (+ 1 0) into 1
7.235 * [backup-simplify]: Simplify (sqrt 1) into 1
7.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.237 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.238 * [backup-simplify]: Simplify (+ 0 0) into 0
7.238 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.238 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
7.239 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
7.239 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ 1 y.re) (/ 1 y.im))) in x.im
7.239 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
7.239 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
7.239 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.239 * [taylor]: Taking taylor expansion of y.re in x.im
7.239 * [backup-simplify]: Simplify y.re into y.re
7.239 * [taylor]: Taking taylor expansion of x.im in x.im
7.239 * [backup-simplify]: Simplify 0 into 0
7.239 * [backup-simplify]: Simplify 1 into 1
7.239 * [backup-simplify]: Simplify (* y.re 0) into 0
7.239 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.239 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.239 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
7.239 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.239 * [taylor]: Taking taylor expansion of y.im in x.im
7.239 * [backup-simplify]: Simplify y.im into y.im
7.239 * [taylor]: Taking taylor expansion of x.re in x.im
7.239 * [backup-simplify]: Simplify x.re into x.re
7.239 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.240 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.240 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.im
7.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
7.240 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
7.240 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
7.240 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
7.240 * [taylor]: Taking taylor expansion of y.re in x.im
7.240 * [backup-simplify]: Simplify y.re into y.re
7.240 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.240 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
7.240 * [taylor]: Taking taylor expansion of y.re in x.im
7.240 * [backup-simplify]: Simplify y.re into y.re
7.240 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.240 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
7.240 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
7.240 * [taylor]: Taking taylor expansion of y.im in x.im
7.240 * [backup-simplify]: Simplify y.im into y.im
7.240 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.240 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
7.240 * [taylor]: Taking taylor expansion of y.im in x.im
7.240 * [backup-simplify]: Simplify y.im into y.im
7.240 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.240 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
7.241 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
7.241 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.241 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
7.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.242 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
7.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.242 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
7.242 * [backup-simplify]: Simplify (+ 0 0) into 0
7.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.243 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
7.243 * [backup-simplify]: Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
7.243 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ 1 y.re) (/ 1 y.im))) in x.im
7.243 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
7.243 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
7.243 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.243 * [taylor]: Taking taylor expansion of y.re in x.im
7.243 * [backup-simplify]: Simplify y.re into y.re
7.243 * [taylor]: Taking taylor expansion of x.im in x.im
7.243 * [backup-simplify]: Simplify 0 into 0
7.243 * [backup-simplify]: Simplify 1 into 1
7.243 * [backup-simplify]: Simplify (* y.re 0) into 0
7.244 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.244 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.244 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
7.244 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.244 * [taylor]: Taking taylor expansion of y.im in x.im
7.244 * [backup-simplify]: Simplify y.im into y.im
7.244 * [taylor]: Taking taylor expansion of x.re in x.im
7.244 * [backup-simplify]: Simplify x.re into x.re
7.244 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.244 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.244 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.im
7.244 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
7.244 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
7.244 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
7.244 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
7.244 * [taylor]: Taking taylor expansion of y.re in x.im
7.244 * [backup-simplify]: Simplify y.re into y.re
7.244 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.244 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
7.245 * [taylor]: Taking taylor expansion of y.re in x.im
7.245 * [backup-simplify]: Simplify y.re into y.re
7.245 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.245 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
7.245 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
7.245 * [taylor]: Taking taylor expansion of y.im in x.im
7.245 * [backup-simplify]: Simplify y.im into y.im
7.245 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.245 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
7.245 * [taylor]: Taking taylor expansion of y.im in x.im
7.245 * [backup-simplify]: Simplify y.im into y.im
7.245 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.245 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
7.245 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
7.245 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.246 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
7.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.246 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
7.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.246 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
7.247 * [backup-simplify]: Simplify (+ 0 0) into 0
7.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.247 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
7.248 * [backup-simplify]: Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
7.248 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) in y.re
7.248 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re
7.248 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re
7.248 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
7.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
7.248 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
7.248 * [taylor]: Taking taylor expansion of y.im in y.re
7.248 * [backup-simplify]: Simplify y.im into y.im
7.248 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.248 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.248 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
7.248 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
7.248 * [taylor]: Taking taylor expansion of y.re in y.re
7.248 * [backup-simplify]: Simplify 0 into 0
7.248 * [backup-simplify]: Simplify 1 into 1
7.249 * [backup-simplify]: Simplify (* 1 1) into 1
7.249 * [backup-simplify]: Simplify (/ 1 1) into 1
7.249 * [backup-simplify]: Simplify (+ 0 1) into 1
7.250 * [backup-simplify]: Simplify (/ 1 1) into 1
7.250 * [backup-simplify]: Simplify (sqrt 1) into 1
7.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.252 * [backup-simplify]: Simplify (+ 0 0) into 0
7.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.253 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.253 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
7.253 * [taylor]: Taking taylor expansion of y.re in y.re
7.253 * [backup-simplify]: Simplify 0 into 0
7.253 * [backup-simplify]: Simplify 1 into 1
7.254 * [backup-simplify]: Simplify (/ 1 1) into 1
7.254 * [backup-simplify]: Simplify (* 1 1) into 1
7.254 * [taylor]: Taking taylor expansion of 1 in x.re
7.254 * [backup-simplify]: Simplify 1 into 1
7.255 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
7.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.255 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
7.255 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
7.257 * [backup-simplify]: Simplify (- (/ (- (/ 1 (* y.im x.re))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))
7.257 * [taylor]: Taking taylor expansion of (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) in y.re
7.257 * [taylor]: Taking taylor expansion of (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re
7.257 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
7.257 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.257 * [taylor]: Taking taylor expansion of y.im in y.re
7.257 * [backup-simplify]: Simplify y.im into y.im
7.257 * [taylor]: Taking taylor expansion of x.re in y.re
7.257 * [backup-simplify]: Simplify x.re into x.re
7.257 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.257 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.257 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re
7.258 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re
7.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
7.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
7.258 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
7.258 * [taylor]: Taking taylor expansion of y.im in y.re
7.258 * [backup-simplify]: Simplify y.im into y.im
7.258 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.258 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.258 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
7.258 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
7.258 * [taylor]: Taking taylor expansion of y.re in y.re
7.258 * [backup-simplify]: Simplify 0 into 0
7.258 * [backup-simplify]: Simplify 1 into 1
7.259 * [backup-simplify]: Simplify (* 1 1) into 1
7.259 * [backup-simplify]: Simplify (/ 1 1) into 1
7.260 * [backup-simplify]: Simplify (+ 0 1) into 1
7.265 * [backup-simplify]: Simplify (/ 1 1) into 1
7.266 * [backup-simplify]: Simplify (sqrt 1) into 1
7.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.268 * [backup-simplify]: Simplify (+ 0 0) into 0
7.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.271 * [taylor]: Taking taylor expansion of 0 in x.re
7.271 * [backup-simplify]: Simplify 0 into 0
7.271 * [taylor]: Taking taylor expansion of 1 in y.im
7.271 * [backup-simplify]: Simplify 1 into 1
7.271 * [backup-simplify]: Simplify 1 into 1
7.272 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.272 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
7.273 * [backup-simplify]: Simplify (- 0) into 0
7.273 * [backup-simplify]: Simplify (+ 0 0) into 0
7.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.273 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.274 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
7.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.275 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
7.275 * [backup-simplify]: Simplify (+ 0 0) into 0
7.276 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.278 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (* (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0
7.278 * [taylor]: Taking taylor expansion of 0 in y.re
7.278 * [backup-simplify]: Simplify 0 into 0
7.278 * [taylor]: Taking taylor expansion of 0 in x.re
7.278 * [backup-simplify]: Simplify 0 into 0
7.278 * [backup-simplify]: Simplify (* (/ 1 (* y.im x.re)) 1) into (/ 1 (* y.im x.re))
7.278 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
7.278 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in x.re
7.278 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
7.278 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.278 * [taylor]: Taking taylor expansion of y.im in x.re
7.278 * [backup-simplify]: Simplify y.im into y.im
7.278 * [taylor]: Taking taylor expansion of x.re in x.re
7.278 * [backup-simplify]: Simplify 0 into 0
7.278 * [backup-simplify]: Simplify 1 into 1
7.278 * [backup-simplify]: Simplify (* y.im 0) into 0
7.279 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
7.279 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.279 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
7.279 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im
7.279 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
7.279 * [taylor]: Taking taylor expansion of y.im in y.im
7.279 * [backup-simplify]: Simplify 0 into 0
7.279 * [backup-simplify]: Simplify 1 into 1
7.279 * [backup-simplify]: Simplify (/ 1 1) into 1
7.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.280 * [backup-simplify]: Simplify (- 0) into 0
7.280 * [backup-simplify]: Simplify 0 into 0
7.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.282 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2))
7.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
7.283 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2))
7.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 2)) 1))) into (- (* 1/2 (/ 1 (pow y.im 2))))
7.284 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.re
7.284 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.re
7.284 * [taylor]: Taking taylor expansion of 1/2 in x.re
7.284 * [backup-simplify]: Simplify 1/2 into 1/2
7.284 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
7.284 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
7.284 * [taylor]: Taking taylor expansion of y.im in x.re
7.284 * [backup-simplify]: Simplify y.im into y.im
7.284 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.284 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.284 * [taylor]: Taking taylor expansion of 0 in y.im
7.284 * [backup-simplify]: Simplify 0 into 0
7.284 * [backup-simplify]: Simplify 0 into 0
7.284 * [taylor]: Taking taylor expansion of 0 in y.im
7.284 * [backup-simplify]: Simplify 0 into 0
7.284 * [backup-simplify]: Simplify 0 into 0
7.284 * [backup-simplify]: Simplify 0 into 0
7.285 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.285 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.285 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
7.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
7.286 * [backup-simplify]: Simplify (- 0) into 0
7.286 * [backup-simplify]: Simplify (+ 0 0) into 0
7.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.287 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.re))))) into 0
7.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.288 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.im))))) into 0
7.288 * [backup-simplify]: Simplify (+ 0 0) into 0
7.289 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.290 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (* (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0
7.290 * [taylor]: Taking taylor expansion of 0 in y.re
7.290 * [backup-simplify]: Simplify 0 into 0
7.290 * [taylor]: Taking taylor expansion of 0 in x.re
7.290 * [backup-simplify]: Simplify 0 into 0
7.290 * [taylor]: Taking taylor expansion of 0 in x.re
7.290 * [backup-simplify]: Simplify 0 into 0
7.290 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
7.291 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.im x.re)) 0) (* 0 1)) into 0
7.291 * [backup-simplify]: Simplify (- 0) into 0
7.291 * [taylor]: Taking taylor expansion of 0 in x.re
7.291 * [backup-simplify]: Simplify 0 into 0
7.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.291 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.292 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
7.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.293 * [backup-simplify]: Simplify (+ 0 0) into 0
7.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
7.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0
7.296 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y.im 2)) 0) (* 0 1)))) into 0
7.296 * [taylor]: Taking taylor expansion of 0 in x.re
7.296 * [backup-simplify]: Simplify 0 into 0
7.296 * [taylor]: Taking taylor expansion of 0 in y.im
7.296 * [backup-simplify]: Simplify 0 into 0
7.296 * [backup-simplify]: Simplify 0 into 0
7.297 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
7.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.298 * [backup-simplify]: Simplify (- 0) into 0
7.298 * [taylor]: Taking taylor expansion of 0 in y.im
7.298 * [backup-simplify]: Simplify 0 into 0
7.298 * [backup-simplify]: Simplify 0 into 0
7.298 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 x.im)))))) into x.im
7.298 * [backup-simplify]: Simplify (/ (- (* (/ 1 (- x.im)) (/ 1 (- y.re))) (* (/ 1 (- x.re)) (/ 1 (- y.im)))) (hypot (/ 1 (- y.re)) (/ 1 (- y.im)))) into (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ -1 y.re) (/ -1 y.im)))
7.298 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ -1 y.re) (/ -1 y.im))) in (x.im y.re x.re y.im) around 0
7.298 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ -1 y.re) (/ -1 y.im))) in y.im
7.299 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
7.299 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
7.299 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
7.299 * [taylor]: Taking taylor expansion of y.re in y.im
7.299 * [backup-simplify]: Simplify y.re into y.re
7.299 * [taylor]: Taking taylor expansion of x.im in y.im
7.299 * [backup-simplify]: Simplify x.im into x.im
7.299 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.299 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
7.299 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
7.299 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
7.299 * [taylor]: Taking taylor expansion of y.im in y.im
7.299 * [backup-simplify]: Simplify 0 into 0
7.299 * [backup-simplify]: Simplify 1 into 1
7.299 * [taylor]: Taking taylor expansion of x.re in y.im
7.299 * [backup-simplify]: Simplify x.re into x.re
7.299 * [backup-simplify]: Simplify (* 0 x.re) into 0
7.300 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
7.300 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
7.300 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.im
7.300 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
7.300 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.im
7.300 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.im
7.300 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
7.300 * [taylor]: Taking taylor expansion of -1 in y.im
7.300 * [backup-simplify]: Simplify -1 into -1
7.300 * [taylor]: Taking taylor expansion of y.re in y.im
7.300 * [backup-simplify]: Simplify y.re into y.re
7.300 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.300 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
7.300 * [taylor]: Taking taylor expansion of -1 in y.im
7.300 * [backup-simplify]: Simplify -1 into -1
7.301 * [taylor]: Taking taylor expansion of y.re in y.im
7.301 * [backup-simplify]: Simplify y.re into y.re
7.301 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.301 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.im
7.301 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
7.301 * [taylor]: Taking taylor expansion of -1 in y.im
7.301 * [backup-simplify]: Simplify -1 into -1
7.301 * [taylor]: Taking taylor expansion of y.im in y.im
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify 1 into 1
7.301 * [backup-simplify]: Simplify (/ -1 1) into -1
7.301 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
7.301 * [taylor]: Taking taylor expansion of -1 in y.im
7.301 * [backup-simplify]: Simplify -1 into -1
7.301 * [taylor]: Taking taylor expansion of y.im in y.im
7.301 * [backup-simplify]: Simplify 0 into 0
7.301 * [backup-simplify]: Simplify 1 into 1
7.302 * [backup-simplify]: Simplify (/ -1 1) into -1
7.302 * [backup-simplify]: Simplify (* -1 -1) into 1
7.303 * [backup-simplify]: Simplify (+ 0 1) into 1
7.303 * [backup-simplify]: Simplify (sqrt 1) into 1
7.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.306 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.306 * [backup-simplify]: Simplify (+ 0 0) into 0
7.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.307 * [backup-simplify]: Simplify (- (/ 1 x.re)) into (- (/ 1 x.re))
7.307 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x.re))) into (- (/ 1 x.re))
7.307 * [backup-simplify]: Simplify (/ (- (/ 1 x.re)) 1) into (/ -1 x.re)
7.307 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ -1 y.re) (/ -1 y.im))) in x.re
7.307 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
7.307 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
7.307 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
7.307 * [taylor]: Taking taylor expansion of y.re in x.re
7.307 * [backup-simplify]: Simplify y.re into y.re
7.308 * [taylor]: Taking taylor expansion of x.im in x.re
7.308 * [backup-simplify]: Simplify x.im into x.im
7.308 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.308 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
7.308 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
7.308 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.308 * [taylor]: Taking taylor expansion of y.im in x.re
7.308 * [backup-simplify]: Simplify y.im into y.im
7.308 * [taylor]: Taking taylor expansion of x.re in x.re
7.308 * [backup-simplify]: Simplify 0 into 0
7.308 * [backup-simplify]: Simplify 1 into 1
7.308 * [backup-simplify]: Simplify (* y.im 0) into 0
7.308 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
7.309 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.309 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.re
7.309 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
7.309 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.re
7.309 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.re
7.309 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
7.309 * [taylor]: Taking taylor expansion of -1 in x.re
7.309 * [backup-simplify]: Simplify -1 into -1
7.309 * [taylor]: Taking taylor expansion of y.re in x.re
7.309 * [backup-simplify]: Simplify y.re into y.re
7.309 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.309 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
7.309 * [taylor]: Taking taylor expansion of -1 in x.re
7.309 * [backup-simplify]: Simplify -1 into -1
7.309 * [taylor]: Taking taylor expansion of y.re in x.re
7.309 * [backup-simplify]: Simplify y.re into y.re
7.309 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.309 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.re
7.309 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
7.309 * [taylor]: Taking taylor expansion of -1 in x.re
7.309 * [backup-simplify]: Simplify -1 into -1
7.310 * [taylor]: Taking taylor expansion of y.im in x.re
7.310 * [backup-simplify]: Simplify y.im into y.im
7.310 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.310 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
7.310 * [taylor]: Taking taylor expansion of -1 in x.re
7.310 * [backup-simplify]: Simplify -1 into -1
7.310 * [taylor]: Taking taylor expansion of y.im in x.re
7.310 * [backup-simplify]: Simplify y.im into y.im
7.310 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.310 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
7.310 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
7.310 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.311 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
7.311 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
7.311 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
7.311 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
7.311 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
7.312 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
7.312 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
7.312 * [backup-simplify]: Simplify (+ 0 0) into 0
7.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.313 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
7.313 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y.im))) into (- (/ 1 y.im))
7.313 * [backup-simplify]: Simplify (/ (- (/ 1 y.im)) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* -1 (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))
7.313 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
7.313 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
7.313 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
7.314 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
7.314 * [taylor]: Taking taylor expansion of y.re in y.re
7.314 * [backup-simplify]: Simplify 0 into 0
7.314 * [backup-simplify]: Simplify 1 into 1
7.314 * [taylor]: Taking taylor expansion of x.im in y.re
7.314 * [backup-simplify]: Simplify x.im into x.im
7.314 * [backup-simplify]: Simplify (* 0 x.im) into 0
7.314 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
7.314 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
7.314 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
7.314 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.314 * [taylor]: Taking taylor expansion of y.im in y.re
7.314 * [backup-simplify]: Simplify y.im into y.im
7.314 * [taylor]: Taking taylor expansion of x.re in y.re
7.314 * [backup-simplify]: Simplify x.re into x.re
7.315 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.315 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.315 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
7.315 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
7.315 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
7.315 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
7.315 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
7.315 * [taylor]: Taking taylor expansion of -1 in y.re
7.315 * [backup-simplify]: Simplify -1 into -1
7.315 * [taylor]: Taking taylor expansion of y.re in y.re
7.315 * [backup-simplify]: Simplify 0 into 0
7.315 * [backup-simplify]: Simplify 1 into 1
7.316 * [backup-simplify]: Simplify (/ -1 1) into -1
7.316 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
7.316 * [taylor]: Taking taylor expansion of -1 in y.re
7.316 * [backup-simplify]: Simplify -1 into -1
7.316 * [taylor]: Taking taylor expansion of y.re in y.re
7.316 * [backup-simplify]: Simplify 0 into 0
7.316 * [backup-simplify]: Simplify 1 into 1
7.316 * [backup-simplify]: Simplify (/ -1 1) into -1
7.316 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
7.316 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
7.316 * [taylor]: Taking taylor expansion of -1 in y.re
7.316 * [backup-simplify]: Simplify -1 into -1
7.316 * [taylor]: Taking taylor expansion of y.im in y.re
7.316 * [backup-simplify]: Simplify y.im into y.im
7.316 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.317 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
7.317 * [taylor]: Taking taylor expansion of -1 in y.re
7.317 * [backup-simplify]: Simplify -1 into -1
7.317 * [taylor]: Taking taylor expansion of y.im in y.re
7.317 * [backup-simplify]: Simplify y.im into y.im
7.317 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.317 * [backup-simplify]: Simplify (* -1 -1) into 1
7.318 * [backup-simplify]: Simplify (+ 1 0) into 1
7.318 * [backup-simplify]: Simplify (sqrt 1) into 1
7.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.320 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.321 * [backup-simplify]: Simplify (+ 0 0) into 0
7.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.322 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
7.322 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
7.322 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ -1 y.re) (/ -1 y.im))) in x.im
7.322 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
7.322 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
7.322 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.322 * [taylor]: Taking taylor expansion of y.re in x.im
7.322 * [backup-simplify]: Simplify y.re into y.re
7.322 * [taylor]: Taking taylor expansion of x.im in x.im
7.322 * [backup-simplify]: Simplify 0 into 0
7.322 * [backup-simplify]: Simplify 1 into 1
7.322 * [backup-simplify]: Simplify (* y.re 0) into 0
7.322 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.323 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.323 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
7.323 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.323 * [taylor]: Taking taylor expansion of y.im in x.im
7.323 * [backup-simplify]: Simplify y.im into y.im
7.323 * [taylor]: Taking taylor expansion of x.re in x.im
7.323 * [backup-simplify]: Simplify x.re into x.re
7.323 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.323 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.323 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.im
7.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
7.323 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.im
7.323 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
7.323 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
7.323 * [taylor]: Taking taylor expansion of -1 in x.im
7.323 * [backup-simplify]: Simplify -1 into -1
7.323 * [taylor]: Taking taylor expansion of y.re in x.im
7.323 * [backup-simplify]: Simplify y.re into y.re
7.323 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.323 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
7.323 * [taylor]: Taking taylor expansion of -1 in x.im
7.323 * [backup-simplify]: Simplify -1 into -1
7.324 * [taylor]: Taking taylor expansion of y.re in x.im
7.324 * [backup-simplify]: Simplify y.re into y.re
7.324 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.324 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.im
7.324 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
7.324 * [taylor]: Taking taylor expansion of -1 in x.im
7.324 * [backup-simplify]: Simplify -1 into -1
7.324 * [taylor]: Taking taylor expansion of y.im in x.im
7.324 * [backup-simplify]: Simplify y.im into y.im
7.324 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.324 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
7.324 * [taylor]: Taking taylor expansion of -1 in x.im
7.324 * [backup-simplify]: Simplify -1 into -1
7.324 * [taylor]: Taking taylor expansion of y.im in x.im
7.324 * [backup-simplify]: Simplify y.im into y.im
7.324 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.324 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
7.324 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
7.325 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.325 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
7.325 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
7.325 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
7.325 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
7.326 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
7.326 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
7.326 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
7.326 * [backup-simplify]: Simplify (+ 0 0) into 0
7.327 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.327 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
7.327 * [backup-simplify]: Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
7.327 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (hypot (/ -1 y.re) (/ -1 y.im))) in x.im
7.327 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
7.327 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
7.327 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.327 * [taylor]: Taking taylor expansion of y.re in x.im
7.327 * [backup-simplify]: Simplify y.re into y.re
7.327 * [taylor]: Taking taylor expansion of x.im in x.im
7.327 * [backup-simplify]: Simplify 0 into 0
7.327 * [backup-simplify]: Simplify 1 into 1
7.327 * [backup-simplify]: Simplify (* y.re 0) into 0
7.328 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.328 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.328 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
7.328 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.328 * [taylor]: Taking taylor expansion of y.im in x.im
7.328 * [backup-simplify]: Simplify y.im into y.im
7.328 * [taylor]: Taking taylor expansion of x.re in x.im
7.328 * [backup-simplify]: Simplify x.re into x.re
7.328 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.328 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.328 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.im
7.328 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
7.328 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.im
7.329 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
7.329 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
7.329 * [taylor]: Taking taylor expansion of -1 in x.im
7.329 * [backup-simplify]: Simplify -1 into -1
7.329 * [taylor]: Taking taylor expansion of y.re in x.im
7.329 * [backup-simplify]: Simplify y.re into y.re
7.329 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.329 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
7.329 * [taylor]: Taking taylor expansion of -1 in x.im
7.329 * [backup-simplify]: Simplify -1 into -1
7.329 * [taylor]: Taking taylor expansion of y.re in x.im
7.329 * [backup-simplify]: Simplify y.re into y.re
7.329 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.329 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.im
7.329 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
7.329 * [taylor]: Taking taylor expansion of -1 in x.im
7.329 * [backup-simplify]: Simplify -1 into -1
7.329 * [taylor]: Taking taylor expansion of y.im in x.im
7.329 * [backup-simplify]: Simplify y.im into y.im
7.329 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.329 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
7.329 * [taylor]: Taking taylor expansion of -1 in x.im
7.329 * [backup-simplify]: Simplify -1 into -1
7.329 * [taylor]: Taking taylor expansion of y.im in x.im
7.329 * [backup-simplify]: Simplify y.im into y.im
7.329 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.329 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
7.330 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
7.330 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.330 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
7.330 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
7.331 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
7.331 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
7.331 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
7.331 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
7.331 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
7.332 * [backup-simplify]: Simplify (+ 0 0) into 0
7.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.332 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
7.332 * [backup-simplify]: Simplify (/ (/ 1 y.re) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
7.333 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) in y.re
7.333 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re
7.333 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re
7.333 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
7.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
7.333 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
7.333 * [taylor]: Taking taylor expansion of y.im in y.re
7.333 * [backup-simplify]: Simplify y.im into y.im
7.333 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.333 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.333 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
7.333 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
7.333 * [taylor]: Taking taylor expansion of y.re in y.re
7.333 * [backup-simplify]: Simplify 0 into 0
7.333 * [backup-simplify]: Simplify 1 into 1
7.334 * [backup-simplify]: Simplify (* 1 1) into 1
7.334 * [backup-simplify]: Simplify (/ 1 1) into 1
7.334 * [backup-simplify]: Simplify (+ 0 1) into 1
7.335 * [backup-simplify]: Simplify (/ 1 1) into 1
7.335 * [backup-simplify]: Simplify (sqrt 1) into 1
7.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.337 * [backup-simplify]: Simplify (+ 0 0) into 0
7.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.338 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
7.338 * [taylor]: Taking taylor expansion of y.re in y.re
7.338 * [backup-simplify]: Simplify 0 into 0
7.338 * [backup-simplify]: Simplify 1 into 1
7.339 * [backup-simplify]: Simplify (/ 1 1) into 1
7.339 * [backup-simplify]: Simplify (* 1 1) into 1
7.339 * [taylor]: Taking taylor expansion of 1 in x.re
7.339 * [backup-simplify]: Simplify 1 into 1
7.340 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
7.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.340 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
7.340 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
7.342 * [backup-simplify]: Simplify (- (/ (- (/ 1 (* y.im x.re))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))
7.342 * [taylor]: Taking taylor expansion of (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) in y.re
7.342 * [taylor]: Taking taylor expansion of (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re
7.342 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
7.342 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.342 * [taylor]: Taking taylor expansion of y.im in y.re
7.342 * [backup-simplify]: Simplify y.im into y.im
7.342 * [taylor]: Taking taylor expansion of x.re in y.re
7.342 * [backup-simplify]: Simplify x.re into x.re
7.342 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.342 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.342 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re
7.342 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re
7.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
7.342 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
7.342 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
7.342 * [taylor]: Taking taylor expansion of y.im in y.re
7.342 * [backup-simplify]: Simplify y.im into y.im
7.343 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.343 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.343 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
7.343 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
7.343 * [taylor]: Taking taylor expansion of y.re in y.re
7.343 * [backup-simplify]: Simplify 0 into 0
7.343 * [backup-simplify]: Simplify 1 into 1
7.343 * [backup-simplify]: Simplify (* 1 1) into 1
7.344 * [backup-simplify]: Simplify (/ 1 1) into 1
7.344 * [backup-simplify]: Simplify (+ 0 1) into 1
7.344 * [backup-simplify]: Simplify (/ 1 1) into 1
7.345 * [backup-simplify]: Simplify (sqrt 1) into 1
7.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.346 * [backup-simplify]: Simplify (+ 0 0) into 0
7.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.350 * [taylor]: Taking taylor expansion of 0 in x.re
7.350 * [backup-simplify]: Simplify 0 into 0
7.350 * [taylor]: Taking taylor expansion of 1 in y.im
7.350 * [backup-simplify]: Simplify 1 into 1
7.350 * [backup-simplify]: Simplify 1 into 1
7.351 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.351 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
7.352 * [backup-simplify]: Simplify (- 0) into 0
7.352 * [backup-simplify]: Simplify (+ 0 0) into 0
7.352 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.352 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.353 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (* 0 (/ -1 y.re)))) into 0
7.353 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.353 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.354 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
7.354 * [backup-simplify]: Simplify (+ 0 0) into 0
7.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.357 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (* (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0
7.357 * [taylor]: Taking taylor expansion of 0 in y.re
7.357 * [backup-simplify]: Simplify 0 into 0
7.357 * [taylor]: Taking taylor expansion of 0 in x.re
7.357 * [backup-simplify]: Simplify 0 into 0
7.358 * [backup-simplify]: Simplify (* (/ 1 (* y.im x.re)) 1) into (/ 1 (* y.im x.re))
7.358 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
7.358 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in x.re
7.358 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
7.358 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.358 * [taylor]: Taking taylor expansion of y.im in x.re
7.358 * [backup-simplify]: Simplify y.im into y.im
7.358 * [taylor]: Taking taylor expansion of x.re in x.re
7.358 * [backup-simplify]: Simplify 0 into 0
7.358 * [backup-simplify]: Simplify 1 into 1
7.358 * [backup-simplify]: Simplify (* y.im 0) into 0
7.359 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
7.359 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.359 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
7.359 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im
7.359 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
7.359 * [taylor]: Taking taylor expansion of y.im in y.im
7.359 * [backup-simplify]: Simplify 0 into 0
7.359 * [backup-simplify]: Simplify 1 into 1
7.359 * [backup-simplify]: Simplify (/ 1 1) into 1
7.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.361 * [backup-simplify]: Simplify (- 0) into 0
7.361 * [backup-simplify]: Simplify 0 into 0
7.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.364 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2))
7.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
7.366 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2))
7.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 2)) 1))) into (- (* 1/2 (/ 1 (pow y.im 2))))
7.367 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.re
7.367 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.re
7.367 * [taylor]: Taking taylor expansion of 1/2 in x.re
7.367 * [backup-simplify]: Simplify 1/2 into 1/2
7.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
7.367 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
7.367 * [taylor]: Taking taylor expansion of y.im in x.re
7.367 * [backup-simplify]: Simplify y.im into y.im
7.367 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.367 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.367 * [taylor]: Taking taylor expansion of 0 in y.im
7.367 * [backup-simplify]: Simplify 0 into 0
7.367 * [backup-simplify]: Simplify 0 into 0
7.367 * [taylor]: Taking taylor expansion of 0 in y.im
7.367 * [backup-simplify]: Simplify 0 into 0
7.367 * [backup-simplify]: Simplify 0 into 0
7.367 * [backup-simplify]: Simplify 0 into 0
7.368 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.369 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
7.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
7.370 * [backup-simplify]: Simplify (- 0) into 0
7.370 * [backup-simplify]: Simplify (+ 0 0) into 0
7.370 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.371 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.371 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.re))))) into 0
7.372 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.372 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.373 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.im))))) into 0
7.373 * [backup-simplify]: Simplify (+ 0 0) into 0
7.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.377 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (* (- (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (* 0 (/ 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0
7.377 * [taylor]: Taking taylor expansion of 0 in y.re
7.377 * [backup-simplify]: Simplify 0 into 0
7.377 * [taylor]: Taking taylor expansion of 0 in x.re
7.377 * [backup-simplify]: Simplify 0 into 0
7.377 * [taylor]: Taking taylor expansion of 0 in x.re
7.377 * [backup-simplify]: Simplify 0 into 0
7.377 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
7.378 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.im x.re)) 0) (* 0 1)) into 0
7.378 * [backup-simplify]: Simplify (- 0) into 0
7.378 * [taylor]: Taking taylor expansion of 0 in x.re
7.378 * [backup-simplify]: Simplify 0 into 0
7.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.379 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
7.381 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.382 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.382 * [backup-simplify]: Simplify (+ 0 0) into 0
7.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
7.384 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0
7.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y.im 2)) 0) (* 0 1)))) into 0
7.386 * [taylor]: Taking taylor expansion of 0 in x.re
7.386 * [backup-simplify]: Simplify 0 into 0
7.386 * [taylor]: Taking taylor expansion of 0 in y.im
7.386 * [backup-simplify]: Simplify 0 into 0
7.386 * [backup-simplify]: Simplify 0 into 0
7.387 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
7.387 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.387 * [backup-simplify]: Simplify (- 0) into 0
7.387 * [taylor]: Taking taylor expansion of 0 in y.im
7.387 * [backup-simplify]: Simplify 0 into 0
7.387 * [backup-simplify]: Simplify 0 into 0
7.387 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x.im))))))) into (* -1 x.im)
7.387 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 1)
7.388 * [backup-simplify]: Simplify (- (* x.im y.re) (* x.re y.im)) into (- (* y.re x.im) (* y.im x.re))
7.388 * [approximate]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in (x.im y.re x.re y.im) around 0
7.388 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.im
7.388 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
7.388 * [taylor]: Taking taylor expansion of y.re in y.im
7.388 * [backup-simplify]: Simplify y.re into y.re
7.388 * [taylor]: Taking taylor expansion of x.im in y.im
7.388 * [backup-simplify]: Simplify x.im into x.im
7.388 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
7.388 * [taylor]: Taking taylor expansion of y.im in y.im
7.388 * [backup-simplify]: Simplify 0 into 0
7.388 * [backup-simplify]: Simplify 1 into 1
7.388 * [taylor]: Taking taylor expansion of x.re in y.im
7.388 * [backup-simplify]: Simplify x.re into x.re
7.388 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.re
7.388 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
7.388 * [taylor]: Taking taylor expansion of y.re in x.re
7.388 * [backup-simplify]: Simplify y.re into y.re
7.388 * [taylor]: Taking taylor expansion of x.im in x.re
7.388 * [backup-simplify]: Simplify x.im into x.im
7.388 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.388 * [taylor]: Taking taylor expansion of y.im in x.re
7.388 * [backup-simplify]: Simplify y.im into y.im
7.388 * [taylor]: Taking taylor expansion of x.re in x.re
7.388 * [backup-simplify]: Simplify 0 into 0
7.388 * [backup-simplify]: Simplify 1 into 1
7.388 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.re
7.388 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
7.388 * [taylor]: Taking taylor expansion of y.re in y.re
7.388 * [backup-simplify]: Simplify 0 into 0
7.388 * [backup-simplify]: Simplify 1 into 1
7.388 * [taylor]: Taking taylor expansion of x.im in y.re
7.388 * [backup-simplify]: Simplify x.im into x.im
7.388 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.388 * [taylor]: Taking taylor expansion of y.im in y.re
7.389 * [backup-simplify]: Simplify y.im into y.im
7.389 * [taylor]: Taking taylor expansion of x.re in y.re
7.389 * [backup-simplify]: Simplify x.re into x.re
7.389 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
7.389 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.389 * [taylor]: Taking taylor expansion of y.re in x.im
7.389 * [backup-simplify]: Simplify y.re into y.re
7.389 * [taylor]: Taking taylor expansion of x.im in x.im
7.389 * [backup-simplify]: Simplify 0 into 0
7.389 * [backup-simplify]: Simplify 1 into 1
7.389 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.389 * [taylor]: Taking taylor expansion of y.im in x.im
7.389 * [backup-simplify]: Simplify y.im into y.im
7.389 * [taylor]: Taking taylor expansion of x.re in x.im
7.389 * [backup-simplify]: Simplify x.re into x.re
7.389 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
7.389 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.389 * [taylor]: Taking taylor expansion of y.re in x.im
7.389 * [backup-simplify]: Simplify y.re into y.re
7.389 * [taylor]: Taking taylor expansion of x.im in x.im
7.389 * [backup-simplify]: Simplify 0 into 0
7.389 * [backup-simplify]: Simplify 1 into 1
7.389 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.389 * [taylor]: Taking taylor expansion of y.im in x.im
7.389 * [backup-simplify]: Simplify y.im into y.im
7.389 * [taylor]: Taking taylor expansion of x.re in x.im
7.389 * [backup-simplify]: Simplify x.re into x.re
7.389 * [backup-simplify]: Simplify (* y.re 0) into 0
7.389 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.389 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
7.390 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
7.390 * [taylor]: Taking taylor expansion of (- (* y.im x.re)) in y.re
7.390 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.390 * [taylor]: Taking taylor expansion of y.im in y.re
7.390 * [backup-simplify]: Simplify y.im into y.im
7.390 * [taylor]: Taking taylor expansion of x.re in y.re
7.390 * [backup-simplify]: Simplify x.re into x.re
7.390 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.390 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
7.390 * [taylor]: Taking taylor expansion of (- (* y.im x.re)) in x.re
7.390 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.390 * [taylor]: Taking taylor expansion of y.im in x.re
7.390 * [backup-simplify]: Simplify y.im into y.im
7.390 * [taylor]: Taking taylor expansion of x.re in x.re
7.390 * [backup-simplify]: Simplify 0 into 0
7.390 * [backup-simplify]: Simplify 1 into 1
7.390 * [backup-simplify]: Simplify (* y.im 0) into 0
7.391 * [backup-simplify]: Simplify (- 0) into 0
7.391 * [taylor]: Taking taylor expansion of 0 in y.im
7.391 * [backup-simplify]: Simplify 0 into 0
7.391 * [backup-simplify]: Simplify 0 into 0
7.391 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.391 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.392 * [backup-simplify]: Simplify (- 0) into 0
7.392 * [backup-simplify]: Simplify (+ y.re 0) into y.re
7.392 * [taylor]: Taking taylor expansion of y.re in y.re
7.392 * [backup-simplify]: Simplify 0 into 0
7.392 * [backup-simplify]: Simplify 1 into 1
7.392 * [taylor]: Taking taylor expansion of 0 in x.re
7.392 * [backup-simplify]: Simplify 0 into 0
7.392 * [taylor]: Taking taylor expansion of 0 in y.im
7.392 * [backup-simplify]: Simplify 0 into 0
7.392 * [backup-simplify]: Simplify 0 into 0
7.392 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.392 * [backup-simplify]: Simplify (- 0) into 0
7.392 * [taylor]: Taking taylor expansion of 0 in x.re
7.392 * [backup-simplify]: Simplify 0 into 0
7.392 * [taylor]: Taking taylor expansion of 0 in y.im
7.393 * [backup-simplify]: Simplify 0 into 0
7.393 * [backup-simplify]: Simplify 0 into 0
7.393 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
7.393 * [backup-simplify]: Simplify (- y.im) into (- y.im)
7.393 * [taylor]: Taking taylor expansion of (- y.im) in y.im
7.393 * [taylor]: Taking taylor expansion of y.im in y.im
7.393 * [backup-simplify]: Simplify 0 into 0
7.393 * [backup-simplify]: Simplify 1 into 1
7.394 * [backup-simplify]: Simplify (- 0) into 0
7.394 * [backup-simplify]: Simplify 0 into 0
7.394 * [backup-simplify]: Simplify 0 into 0
7.394 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
7.395 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
7.395 * [backup-simplify]: Simplify (- 0) into 0
7.395 * [backup-simplify]: Simplify (+ 0 0) into 0
7.396 * [taylor]: Taking taylor expansion of 0 in y.re
7.396 * [backup-simplify]: Simplify 0 into 0
7.396 * [taylor]: Taking taylor expansion of 0 in x.re
7.396 * [backup-simplify]: Simplify 0 into 0
7.396 * [taylor]: Taking taylor expansion of 0 in y.im
7.396 * [backup-simplify]: Simplify 0 into 0
7.396 * [backup-simplify]: Simplify 0 into 0
7.396 * [backup-simplify]: Simplify 0 into 0
7.396 * [backup-simplify]: Simplify (- (* (/ 1 x.im) (/ 1 y.re)) (* (/ 1 x.re) (/ 1 y.im))) into (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re)))
7.396 * [approximate]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in (x.im y.re x.re y.im) around 0
7.396 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
7.396 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
7.396 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
7.396 * [taylor]: Taking taylor expansion of y.re in y.im
7.396 * [backup-simplify]: Simplify y.re into y.re
7.396 * [taylor]: Taking taylor expansion of x.im in y.im
7.396 * [backup-simplify]: Simplify x.im into x.im
7.396 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.396 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
7.396 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
7.396 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
7.396 * [taylor]: Taking taylor expansion of y.im in y.im
7.396 * [backup-simplify]: Simplify 0 into 0
7.396 * [backup-simplify]: Simplify 1 into 1
7.397 * [taylor]: Taking taylor expansion of x.re in y.im
7.397 * [backup-simplify]: Simplify x.re into x.re
7.397 * [backup-simplify]: Simplify (* 0 x.re) into 0
7.397 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
7.397 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
7.397 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
7.397 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
7.397 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
7.397 * [taylor]: Taking taylor expansion of y.re in x.re
7.397 * [backup-simplify]: Simplify y.re into y.re
7.397 * [taylor]: Taking taylor expansion of x.im in x.re
7.397 * [backup-simplify]: Simplify x.im into x.im
7.397 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.397 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
7.397 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
7.397 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.397 * [taylor]: Taking taylor expansion of y.im in x.re
7.398 * [backup-simplify]: Simplify y.im into y.im
7.398 * [taylor]: Taking taylor expansion of x.re in x.re
7.398 * [backup-simplify]: Simplify 0 into 0
7.398 * [backup-simplify]: Simplify 1 into 1
7.398 * [backup-simplify]: Simplify (* y.im 0) into 0
7.398 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
7.398 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.398 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
7.398 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
7.398 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
7.398 * [taylor]: Taking taylor expansion of y.re in y.re
7.398 * [backup-simplify]: Simplify 0 into 0
7.398 * [backup-simplify]: Simplify 1 into 1
7.398 * [taylor]: Taking taylor expansion of x.im in y.re
7.398 * [backup-simplify]: Simplify x.im into x.im
7.398 * [backup-simplify]: Simplify (* 0 x.im) into 0
7.399 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
7.399 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
7.399 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
7.399 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.399 * [taylor]: Taking taylor expansion of y.im in y.re
7.399 * [backup-simplify]: Simplify y.im into y.im
7.399 * [taylor]: Taking taylor expansion of x.re in y.re
7.399 * [backup-simplify]: Simplify x.re into x.re
7.399 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.399 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.399 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
7.399 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
7.399 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.399 * [taylor]: Taking taylor expansion of y.re in x.im
7.399 * [backup-simplify]: Simplify y.re into y.re
7.399 * [taylor]: Taking taylor expansion of x.im in x.im
7.399 * [backup-simplify]: Simplify 0 into 0
7.399 * [backup-simplify]: Simplify 1 into 1
7.400 * [backup-simplify]: Simplify (* y.re 0) into 0
7.400 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.400 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.400 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
7.400 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.400 * [taylor]: Taking taylor expansion of y.im in x.im
7.400 * [backup-simplify]: Simplify y.im into y.im
7.400 * [taylor]: Taking taylor expansion of x.re in x.im
7.400 * [backup-simplify]: Simplify x.re into x.re
7.400 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.400 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.400 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
7.400 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
7.400 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.400 * [taylor]: Taking taylor expansion of y.re in x.im
7.400 * [backup-simplify]: Simplify y.re into y.re
7.400 * [taylor]: Taking taylor expansion of x.im in x.im
7.400 * [backup-simplify]: Simplify 0 into 0
7.400 * [backup-simplify]: Simplify 1 into 1
7.401 * [backup-simplify]: Simplify (* y.re 0) into 0
7.401 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.401 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.401 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
7.401 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.401 * [taylor]: Taking taylor expansion of y.im in x.im
7.401 * [backup-simplify]: Simplify y.im into y.im
7.401 * [taylor]: Taking taylor expansion of x.re in x.im
7.401 * [backup-simplify]: Simplify x.re into x.re
7.401 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.401 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.402 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
7.402 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
7.402 * [taylor]: Taking taylor expansion of y.re in y.re
7.402 * [backup-simplify]: Simplify 0 into 0
7.402 * [backup-simplify]: Simplify 1 into 1
7.402 * [backup-simplify]: Simplify (/ 1 1) into 1
7.402 * [taylor]: Taking taylor expansion of 1 in x.re
7.402 * [backup-simplify]: Simplify 1 into 1
7.403 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
7.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.403 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
7.403 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
7.403 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in y.re
7.403 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
7.403 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.403 * [taylor]: Taking taylor expansion of y.im in y.re
7.403 * [backup-simplify]: Simplify y.im into y.im
7.403 * [taylor]: Taking taylor expansion of x.re in y.re
7.403 * [backup-simplify]: Simplify x.re into x.re
7.403 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.404 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.404 * [taylor]: Taking taylor expansion of 0 in x.re
7.404 * [backup-simplify]: Simplify 0 into 0
7.404 * [taylor]: Taking taylor expansion of 1 in y.im
7.404 * [backup-simplify]: Simplify 1 into 1
7.405 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.405 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.406 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
7.406 * [backup-simplify]: Simplify (- 0) into 0
7.407 * [backup-simplify]: Simplify (+ 0 0) into 0
7.407 * [taylor]: Taking taylor expansion of 0 in y.re
7.407 * [backup-simplify]: Simplify 0 into 0
7.407 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
7.407 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in x.re
7.407 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
7.407 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.407 * [taylor]: Taking taylor expansion of y.im in x.re
7.407 * [backup-simplify]: Simplify y.im into y.im
7.407 * [taylor]: Taking taylor expansion of x.re in x.re
7.407 * [backup-simplify]: Simplify 0 into 0
7.407 * [backup-simplify]: Simplify 1 into 1
7.407 * [backup-simplify]: Simplify (* y.im 0) into 0
7.407 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
7.408 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.408 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
7.408 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im
7.408 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
7.408 * [taylor]: Taking taylor expansion of y.im in y.im
7.408 * [backup-simplify]: Simplify 0 into 0
7.408 * [backup-simplify]: Simplify 1 into 1
7.408 * [backup-simplify]: Simplify (/ 1 1) into 1
7.409 * [backup-simplify]: Simplify (- 1) into -1
7.409 * [backup-simplify]: Simplify -1 into -1
7.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.410 * [taylor]: Taking taylor expansion of 0 in x.re
7.410 * [backup-simplify]: Simplify 0 into 0
7.410 * [taylor]: Taking taylor expansion of 0 in y.im
7.410 * [backup-simplify]: Simplify 0 into 0
7.410 * [taylor]: Taking taylor expansion of 0 in y.im
7.410 * [backup-simplify]: Simplify 0 into 0
7.410 * [backup-simplify]: Simplify 1 into 1
7.411 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.411 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.412 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
7.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
7.412 * [backup-simplify]: Simplify (- 0) into 0
7.413 * [backup-simplify]: Simplify (+ 0 0) into 0
7.413 * [taylor]: Taking taylor expansion of 0 in y.re
7.413 * [backup-simplify]: Simplify 0 into 0
7.413 * [taylor]: Taking taylor expansion of 0 in x.re
7.413 * [backup-simplify]: Simplify 0 into 0
7.413 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
7.413 * [backup-simplify]: Simplify (- 0) into 0
7.413 * [taylor]: Taking taylor expansion of 0 in x.re
7.413 * [backup-simplify]: Simplify 0 into 0
7.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.414 * [taylor]: Taking taylor expansion of 0 in x.re
7.414 * [backup-simplify]: Simplify 0 into 0
7.415 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
7.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.416 * [backup-simplify]: Simplify (- 0) into 0
7.416 * [taylor]: Taking taylor expansion of 0 in y.im
7.416 * [backup-simplify]: Simplify 0 into 0
7.416 * [taylor]: Taking taylor expansion of 0 in y.im
7.416 * [backup-simplify]: Simplify 0 into 0
7.416 * [taylor]: Taking taylor expansion of 0 in y.im
7.416 * [backup-simplify]: Simplify 0 into 0
7.416 * [taylor]: Taking taylor expansion of 0 in y.im
7.416 * [backup-simplify]: Simplify 0 into 0
7.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.417 * [backup-simplify]: Simplify (- 0) into 0
7.417 * [backup-simplify]: Simplify 0 into 0
7.417 * [backup-simplify]: Simplify 0 into 0
7.417 * [backup-simplify]: Simplify 0 into 0
7.417 * [backup-simplify]: Simplify 0 into 0
7.418 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
7.419 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.419 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
7.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
7.424 * [backup-simplify]: Simplify (- 0) into 0
7.425 * [backup-simplify]: Simplify (+ 0 0) into 0
7.425 * [taylor]: Taking taylor expansion of 0 in y.re
7.425 * [backup-simplify]: Simplify 0 into 0
7.425 * [taylor]: Taking taylor expansion of 0 in x.re
7.425 * [backup-simplify]: Simplify 0 into 0
7.425 * [taylor]: Taking taylor expansion of 0 in x.re
7.425 * [backup-simplify]: Simplify 0 into 0
7.425 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
7.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
7.426 * [backup-simplify]: Simplify (- 0) into 0
7.426 * [taylor]: Taking taylor expansion of 0 in x.re
7.426 * [backup-simplify]: Simplify 0 into 0
7.427 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.427 * [taylor]: Taking taylor expansion of 0 in x.re
7.427 * [backup-simplify]: Simplify 0 into 0
7.427 * [taylor]: Taking taylor expansion of 0 in y.im
7.427 * [backup-simplify]: Simplify 0 into 0
7.427 * [taylor]: Taking taylor expansion of 0 in y.im
7.427 * [backup-simplify]: Simplify 0 into 0
7.427 * [taylor]: Taking taylor expansion of 0 in y.im
7.427 * [backup-simplify]: Simplify 0 into 0
7.428 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.429 * [backup-simplify]: Simplify (- 0) into 0
7.429 * [taylor]: Taking taylor expansion of 0 in y.im
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [taylor]: Taking taylor expansion of 0 in y.im
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [taylor]: Taking taylor expansion of 0 in y.im
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [taylor]: Taking taylor expansion of 0 in y.im
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [backup-simplify]: Simplify 0 into 0
7.429 * [backup-simplify]: Simplify 0 into 0
7.430 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 y.re)) (/ 1 (/ 1 x.im)))))) (* -1 (* (/ 1 (/ 1 y.im)) (* (/ 1 (/ 1 x.re)) (* 1 1))))) into (- (* y.re x.im) (* y.im x.re))
7.431 * [backup-simplify]: Simplify (- (* (/ 1 (- x.im)) (/ 1 (- y.re))) (* (/ 1 (- x.re)) (/ 1 (- y.im)))) into (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re)))
7.431 * [approximate]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in (x.im y.re x.re y.im) around 0
7.431 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
7.431 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
7.431 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
7.431 * [taylor]: Taking taylor expansion of y.re in y.im
7.431 * [backup-simplify]: Simplify y.re into y.re
7.431 * [taylor]: Taking taylor expansion of x.im in y.im
7.431 * [backup-simplify]: Simplify x.im into x.im
7.431 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.431 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
7.431 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
7.431 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
7.431 * [taylor]: Taking taylor expansion of y.im in y.im
7.431 * [backup-simplify]: Simplify 0 into 0
7.431 * [backup-simplify]: Simplify 1 into 1
7.432 * [taylor]: Taking taylor expansion of x.re in y.im
7.432 * [backup-simplify]: Simplify x.re into x.re
7.432 * [backup-simplify]: Simplify (* 0 x.re) into 0
7.432 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
7.432 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
7.432 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
7.432 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
7.432 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
7.432 * [taylor]: Taking taylor expansion of y.re in x.re
7.432 * [backup-simplify]: Simplify y.re into y.re
7.432 * [taylor]: Taking taylor expansion of x.im in x.re
7.432 * [backup-simplify]: Simplify x.im into x.im
7.432 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.432 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
7.432 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
7.432 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.433 * [taylor]: Taking taylor expansion of y.im in x.re
7.433 * [backup-simplify]: Simplify y.im into y.im
7.433 * [taylor]: Taking taylor expansion of x.re in x.re
7.433 * [backup-simplify]: Simplify 0 into 0
7.433 * [backup-simplify]: Simplify 1 into 1
7.433 * [backup-simplify]: Simplify (* y.im 0) into 0
7.433 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
7.433 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.433 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
7.433 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
7.433 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
7.433 * [taylor]: Taking taylor expansion of y.re in y.re
7.433 * [backup-simplify]: Simplify 0 into 0
7.433 * [backup-simplify]: Simplify 1 into 1
7.433 * [taylor]: Taking taylor expansion of x.im in y.re
7.433 * [backup-simplify]: Simplify x.im into x.im
7.433 * [backup-simplify]: Simplify (* 0 x.im) into 0
7.434 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
7.434 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
7.434 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
7.434 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.434 * [taylor]: Taking taylor expansion of y.im in y.re
7.434 * [backup-simplify]: Simplify y.im into y.im
7.434 * [taylor]: Taking taylor expansion of x.re in y.re
7.434 * [backup-simplify]: Simplify x.re into x.re
7.434 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.434 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.434 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
7.434 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
7.434 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.434 * [taylor]: Taking taylor expansion of y.re in x.im
7.434 * [backup-simplify]: Simplify y.re into y.re
7.434 * [taylor]: Taking taylor expansion of x.im in x.im
7.434 * [backup-simplify]: Simplify 0 into 0
7.434 * [backup-simplify]: Simplify 1 into 1
7.434 * [backup-simplify]: Simplify (* y.re 0) into 0
7.435 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.435 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.435 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
7.435 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.435 * [taylor]: Taking taylor expansion of y.im in x.im
7.435 * [backup-simplify]: Simplify y.im into y.im
7.435 * [taylor]: Taking taylor expansion of x.re in x.im
7.435 * [backup-simplify]: Simplify x.re into x.re
7.435 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.435 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.435 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
7.435 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
7.435 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.435 * [taylor]: Taking taylor expansion of y.re in x.im
7.435 * [backup-simplify]: Simplify y.re into y.re
7.435 * [taylor]: Taking taylor expansion of x.im in x.im
7.435 * [backup-simplify]: Simplify 0 into 0
7.435 * [backup-simplify]: Simplify 1 into 1
7.436 * [backup-simplify]: Simplify (* y.re 0) into 0
7.436 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.436 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.436 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
7.436 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.436 * [taylor]: Taking taylor expansion of y.im in x.im
7.436 * [backup-simplify]: Simplify y.im into y.im
7.436 * [taylor]: Taking taylor expansion of x.re in x.im
7.436 * [backup-simplify]: Simplify x.re into x.re
7.436 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.436 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.436 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
7.437 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
7.437 * [taylor]: Taking taylor expansion of y.re in y.re
7.437 * [backup-simplify]: Simplify 0 into 0
7.437 * [backup-simplify]: Simplify 1 into 1
7.437 * [backup-simplify]: Simplify (/ 1 1) into 1
7.437 * [taylor]: Taking taylor expansion of 1 in x.re
7.437 * [backup-simplify]: Simplify 1 into 1
7.438 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
7.438 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.438 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
7.438 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
7.438 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in y.re
7.438 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
7.438 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.438 * [taylor]: Taking taylor expansion of y.im in y.re
7.438 * [backup-simplify]: Simplify y.im into y.im
7.438 * [taylor]: Taking taylor expansion of x.re in y.re
7.438 * [backup-simplify]: Simplify x.re into x.re
7.438 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.439 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.439 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.439 * [taylor]: Taking taylor expansion of 0 in x.re
7.439 * [backup-simplify]: Simplify 0 into 0
7.439 * [taylor]: Taking taylor expansion of 1 in y.im
7.439 * [backup-simplify]: Simplify 1 into 1
7.440 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.441 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
7.441 * [backup-simplify]: Simplify (- 0) into 0
7.441 * [backup-simplify]: Simplify (+ 0 0) into 0
7.441 * [taylor]: Taking taylor expansion of 0 in y.re
7.441 * [backup-simplify]: Simplify 0 into 0
7.442 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
7.442 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in x.re
7.442 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
7.442 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.442 * [taylor]: Taking taylor expansion of y.im in x.re
7.442 * [backup-simplify]: Simplify y.im into y.im
7.442 * [taylor]: Taking taylor expansion of x.re in x.re
7.442 * [backup-simplify]: Simplify 0 into 0
7.442 * [backup-simplify]: Simplify 1 into 1
7.442 * [backup-simplify]: Simplify (* y.im 0) into 0
7.442 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
7.442 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.442 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
7.442 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im
7.443 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
7.443 * [taylor]: Taking taylor expansion of y.im in y.im
7.443 * [backup-simplify]: Simplify 0 into 0
7.443 * [backup-simplify]: Simplify 1 into 1
7.443 * [backup-simplify]: Simplify (/ 1 1) into 1
7.443 * [backup-simplify]: Simplify (- 1) into -1
7.443 * [backup-simplify]: Simplify -1 into -1
7.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.444 * [taylor]: Taking taylor expansion of 0 in x.re
7.444 * [backup-simplify]: Simplify 0 into 0
7.444 * [taylor]: Taking taylor expansion of 0 in y.im
7.444 * [backup-simplify]: Simplify 0 into 0
7.444 * [taylor]: Taking taylor expansion of 0 in y.im
7.444 * [backup-simplify]: Simplify 0 into 0
7.445 * [backup-simplify]: Simplify 1 into 1
7.445 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.446 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
7.446 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
7.447 * [backup-simplify]: Simplify (- 0) into 0
7.447 * [backup-simplify]: Simplify (+ 0 0) into 0
7.447 * [taylor]: Taking taylor expansion of 0 in y.re
7.447 * [backup-simplify]: Simplify 0 into 0
7.447 * [taylor]: Taking taylor expansion of 0 in x.re
7.447 * [backup-simplify]: Simplify 0 into 0
7.448 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
7.448 * [backup-simplify]: Simplify (- 0) into 0
7.448 * [taylor]: Taking taylor expansion of 0 in x.re
7.448 * [backup-simplify]: Simplify 0 into 0
7.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.449 * [taylor]: Taking taylor expansion of 0 in x.re
7.449 * [backup-simplify]: Simplify 0 into 0
7.450 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
7.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.450 * [backup-simplify]: Simplify (- 0) into 0
7.450 * [taylor]: Taking taylor expansion of 0 in y.im
7.450 * [backup-simplify]: Simplify 0 into 0
7.451 * [taylor]: Taking taylor expansion of 0 in y.im
7.451 * [backup-simplify]: Simplify 0 into 0
7.451 * [taylor]: Taking taylor expansion of 0 in y.im
7.451 * [backup-simplify]: Simplify 0 into 0
7.451 * [taylor]: Taking taylor expansion of 0 in y.im
7.451 * [backup-simplify]: Simplify 0 into 0
7.451 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.452 * [backup-simplify]: Simplify (- 0) into 0
7.452 * [backup-simplify]: Simplify 0 into 0
7.452 * [backup-simplify]: Simplify 0 into 0
7.452 * [backup-simplify]: Simplify 0 into 0
7.452 * [backup-simplify]: Simplify 0 into 0
7.453 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
7.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.454 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
7.454 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
7.455 * [backup-simplify]: Simplify (- 0) into 0
7.455 * [backup-simplify]: Simplify (+ 0 0) into 0
7.455 * [taylor]: Taking taylor expansion of 0 in y.re
7.455 * [backup-simplify]: Simplify 0 into 0
7.455 * [taylor]: Taking taylor expansion of 0 in x.re
7.455 * [backup-simplify]: Simplify 0 into 0
7.455 * [taylor]: Taking taylor expansion of 0 in x.re
7.455 * [backup-simplify]: Simplify 0 into 0
7.456 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
7.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
7.456 * [backup-simplify]: Simplify (- 0) into 0
7.456 * [taylor]: Taking taylor expansion of 0 in x.re
7.457 * [backup-simplify]: Simplify 0 into 0
7.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.458 * [taylor]: Taking taylor expansion of 0 in x.re
7.458 * [backup-simplify]: Simplify 0 into 0
7.458 * [taylor]: Taking taylor expansion of 0 in y.im
7.458 * [backup-simplify]: Simplify 0 into 0
7.458 * [taylor]: Taking taylor expansion of 0 in y.im
7.458 * [backup-simplify]: Simplify 0 into 0
7.458 * [taylor]: Taking taylor expansion of 0 in y.im
7.458 * [backup-simplify]: Simplify 0 into 0
7.459 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.460 * [backup-simplify]: Simplify (- 0) into 0
7.460 * [taylor]: Taking taylor expansion of 0 in y.im
7.460 * [backup-simplify]: Simplify 0 into 0
7.460 * [taylor]: Taking taylor expansion of 0 in y.im
7.460 * [backup-simplify]: Simplify 0 into 0
7.460 * [taylor]: Taking taylor expansion of 0 in y.im
7.460 * [backup-simplify]: Simplify 0 into 0
7.460 * [taylor]: Taking taylor expansion of 0 in y.im
7.460 * [backup-simplify]: Simplify 0 into 0
7.460 * [backup-simplify]: Simplify 0 into 0
7.460 * [backup-simplify]: Simplify 0 into 0
7.461 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- y.re))) (/ 1 (/ 1 (- x.im))))))) (* -1 (* (/ 1 (/ 1 (- y.im))) (* (/ 1 (/ 1 (- x.re))) (* 1 1))))) into (- (* y.re x.im) (* y.im x.re))
7.461 * * * * [progress]: [ 3 / 3 ] generating series at (2 2)
7.461 * [backup-simplify]: Simplify (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)) into (/ (- (* y.re x.im) (* y.im x.re)) (pow (hypot y.re y.im) 2))
7.462 * [approximate]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (pow (hypot y.re y.im) 2)) in (x.im y.re x.re y.im) around 0
7.462 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (pow (hypot y.re y.im) 2)) in y.im
7.462 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.im
7.462 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
7.462 * [taylor]: Taking taylor expansion of y.re in y.im
7.462 * [backup-simplify]: Simplify y.re into y.re
7.462 * [taylor]: Taking taylor expansion of x.im in y.im
7.462 * [backup-simplify]: Simplify x.im into x.im
7.462 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
7.462 * [taylor]: Taking taylor expansion of y.im in y.im
7.462 * [backup-simplify]: Simplify 0 into 0
7.462 * [backup-simplify]: Simplify 1 into 1
7.462 * [taylor]: Taking taylor expansion of x.re in y.im
7.462 * [backup-simplify]: Simplify x.re into x.re
7.462 * [taylor]: Taking taylor expansion of (pow (hypot y.re y.im) 2) in y.im
7.462 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.im
7.462 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
7.462 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
7.462 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.im
7.462 * [taylor]: Taking taylor expansion of y.re in y.im
7.462 * [backup-simplify]: Simplify y.re into y.re
7.462 * [taylor]: Taking taylor expansion of y.re in y.im
7.462 * [backup-simplify]: Simplify y.re into y.re
7.462 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.im
7.462 * [taylor]: Taking taylor expansion of y.im in y.im
7.462 * [backup-simplify]: Simplify 0 into 0
7.462 * [backup-simplify]: Simplify 1 into 1
7.462 * [taylor]: Taking taylor expansion of y.im in y.im
7.462 * [backup-simplify]: Simplify 0 into 0
7.462 * [backup-simplify]: Simplify 1 into 1
7.463 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
7.463 * [backup-simplify]: Simplify (* 0 0) into 0
7.463 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
7.463 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
7.463 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
7.464 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.464 * [backup-simplify]: Simplify (+ 0 0) into 0
7.464 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
7.465 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.465 * [backup-simplify]: Simplify (* 0 x.re) into 0
7.465 * [backup-simplify]: Simplify (- 0) into 0
7.465 * [backup-simplify]: Simplify (+ (* y.re x.im) 0) into (* y.re x.im)
7.465 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
7.465 * [backup-simplify]: Simplify (/ (* y.re x.im) (pow y.re 2)) into (/ x.im y.re)
7.465 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (pow (hypot y.re y.im) 2)) in x.re
7.465 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.re
7.465 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
7.466 * [taylor]: Taking taylor expansion of y.re in x.re
7.466 * [backup-simplify]: Simplify y.re into y.re
7.466 * [taylor]: Taking taylor expansion of x.im in x.re
7.466 * [backup-simplify]: Simplify x.im into x.im
7.466 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.466 * [taylor]: Taking taylor expansion of y.im in x.re
7.466 * [backup-simplify]: Simplify y.im into y.im
7.466 * [taylor]: Taking taylor expansion of x.re in x.re
7.466 * [backup-simplify]: Simplify 0 into 0
7.466 * [backup-simplify]: Simplify 1 into 1
7.466 * [taylor]: Taking taylor expansion of (pow (hypot y.re y.im) 2) in x.re
7.466 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.re
7.466 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
7.466 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
7.466 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.re
7.466 * [taylor]: Taking taylor expansion of y.re in x.re
7.466 * [backup-simplify]: Simplify y.re into y.re
7.466 * [taylor]: Taking taylor expansion of y.re in x.re
7.466 * [backup-simplify]: Simplify y.re into y.re
7.466 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.re
7.466 * [taylor]: Taking taylor expansion of y.im in x.re
7.466 * [backup-simplify]: Simplify y.im into y.im
7.466 * [taylor]: Taking taylor expansion of y.im in x.re
7.466 * [backup-simplify]: Simplify y.im into y.im
7.466 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
7.466 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.467 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
7.467 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
7.467 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
7.467 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.468 * [backup-simplify]: Simplify (+ 0 0) into 0
7.468 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
7.468 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.468 * [backup-simplify]: Simplify (* y.im 0) into 0
7.469 * [backup-simplify]: Simplify (- 0) into 0
7.469 * [backup-simplify]: Simplify (+ (* y.re x.im) 0) into (* y.re x.im)
7.469 * [backup-simplify]: Simplify (* (sqrt (+ (pow y.re 2) (pow y.im 2))) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (+ (pow y.im 2) (pow y.re 2))
7.469 * [backup-simplify]: Simplify (/ (* y.re x.im) (+ (pow y.im 2) (pow y.re 2))) into (/ (* y.re x.im) (+ (pow y.re 2) (pow y.im 2)))
7.470 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (pow (hypot y.re y.im) 2)) in y.re
7.470 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in y.re
7.470 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
7.470 * [taylor]: Taking taylor expansion of y.re in y.re
7.470 * [backup-simplify]: Simplify 0 into 0
7.470 * [backup-simplify]: Simplify 1 into 1
7.470 * [taylor]: Taking taylor expansion of x.im in y.re
7.470 * [backup-simplify]: Simplify x.im into x.im
7.470 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.470 * [taylor]: Taking taylor expansion of y.im in y.re
7.470 * [backup-simplify]: Simplify y.im into y.im
7.470 * [taylor]: Taking taylor expansion of x.re in y.re
7.470 * [backup-simplify]: Simplify x.re into x.re
7.470 * [taylor]: Taking taylor expansion of (pow (hypot y.re y.im) 2) in y.re
7.470 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
7.470 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
7.470 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
7.470 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
7.470 * [taylor]: Taking taylor expansion of y.re in y.re
7.470 * [backup-simplify]: Simplify 0 into 0
7.470 * [backup-simplify]: Simplify 1 into 1
7.470 * [taylor]: Taking taylor expansion of y.re in y.re
7.470 * [backup-simplify]: Simplify 0 into 0
7.470 * [backup-simplify]: Simplify 1 into 1
7.470 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
7.470 * [taylor]: Taking taylor expansion of y.im in y.re
7.470 * [backup-simplify]: Simplify y.im into y.im
7.470 * [taylor]: Taking taylor expansion of y.im in y.re
7.470 * [backup-simplify]: Simplify y.im into y.im
7.471 * [backup-simplify]: Simplify (* 0 0) into 0
7.471 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.471 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
7.471 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
7.472 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
7.472 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.472 * [backup-simplify]: Simplify (+ 0 0) into 0
7.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
7.473 * [backup-simplify]: Simplify (* 0 x.im) into 0
7.473 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.473 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
7.473 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
7.473 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.473 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) (pow y.im 2)) into (* -1 (/ x.re y.im))
7.473 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (pow (hypot y.re y.im) 2)) in x.im
7.473 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
7.473 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.473 * [taylor]: Taking taylor expansion of y.re in x.im
7.473 * [backup-simplify]: Simplify y.re into y.re
7.473 * [taylor]: Taking taylor expansion of x.im in x.im
7.473 * [backup-simplify]: Simplify 0 into 0
7.473 * [backup-simplify]: Simplify 1 into 1
7.473 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.473 * [taylor]: Taking taylor expansion of y.im in x.im
7.473 * [backup-simplify]: Simplify y.im into y.im
7.474 * [taylor]: Taking taylor expansion of x.re in x.im
7.474 * [backup-simplify]: Simplify x.re into x.re
7.474 * [taylor]: Taking taylor expansion of (pow (hypot y.re y.im) 2) in x.im
7.474 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.im
7.474 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
7.474 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
7.474 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
7.474 * [taylor]: Taking taylor expansion of y.re in x.im
7.474 * [backup-simplify]: Simplify y.re into y.re
7.474 * [taylor]: Taking taylor expansion of y.re in x.im
7.474 * [backup-simplify]: Simplify y.re into y.re
7.474 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.im
7.474 * [taylor]: Taking taylor expansion of y.im in x.im
7.474 * [backup-simplify]: Simplify y.im into y.im
7.474 * [taylor]: Taking taylor expansion of y.im in x.im
7.474 * [backup-simplify]: Simplify y.im into y.im
7.474 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
7.474 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.474 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
7.475 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
7.475 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
7.475 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.476 * [backup-simplify]: Simplify (+ 0 0) into 0
7.476 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
7.476 * [backup-simplify]: Simplify (* y.re 0) into 0
7.476 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.476 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
7.476 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
7.477 * [backup-simplify]: Simplify (* (sqrt (+ (pow y.re 2) (pow y.im 2))) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (+ (pow y.im 2) (pow y.re 2))
7.477 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) (+ (pow y.im 2) (pow y.re 2))) into (* -1 (/ (* y.im x.re) (+ (pow y.re 2) (pow y.im 2))))
7.477 * [taylor]: Taking taylor expansion of (/ (- (* y.re x.im) (* y.im x.re)) (pow (hypot y.re y.im) 2)) in x.im
7.477 * [taylor]: Taking taylor expansion of (- (* y.re x.im) (* y.im x.re)) in x.im
7.477 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.477 * [taylor]: Taking taylor expansion of y.re in x.im
7.477 * [backup-simplify]: Simplify y.re into y.re
7.477 * [taylor]: Taking taylor expansion of x.im in x.im
7.477 * [backup-simplify]: Simplify 0 into 0
7.477 * [backup-simplify]: Simplify 1 into 1
7.477 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.477 * [taylor]: Taking taylor expansion of y.im in x.im
7.477 * [backup-simplify]: Simplify y.im into y.im
7.477 * [taylor]: Taking taylor expansion of x.re in x.im
7.478 * [backup-simplify]: Simplify x.re into x.re
7.478 * [taylor]: Taking taylor expansion of (pow (hypot y.re y.im) 2) in x.im
7.478 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.im
7.478 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
7.478 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
7.478 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
7.478 * [taylor]: Taking taylor expansion of y.re in x.im
7.478 * [backup-simplify]: Simplify y.re into y.re
7.478 * [taylor]: Taking taylor expansion of y.re in x.im
7.478 * [backup-simplify]: Simplify y.re into y.re
7.478 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.im
7.478 * [taylor]: Taking taylor expansion of y.im in x.im
7.478 * [backup-simplify]: Simplify y.im into y.im
7.478 * [taylor]: Taking taylor expansion of y.im in x.im
7.478 * [backup-simplify]: Simplify y.im into y.im
7.478 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
7.478 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.478 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
7.479 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
7.479 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
7.479 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.479 * [backup-simplify]: Simplify (+ 0 0) into 0
7.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
7.480 * [backup-simplify]: Simplify (* y.re 0) into 0
7.480 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.480 * [backup-simplify]: Simplify (- (* y.im x.re)) into (- (* y.im x.re))
7.480 * [backup-simplify]: Simplify (+ 0 (- (* y.im x.re))) into (- (* y.im x.re))
7.481 * [backup-simplify]: Simplify (* (sqrt (+ (pow y.re 2) (pow y.im 2))) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (+ (pow y.im 2) (pow y.re 2))
7.481 * [backup-simplify]: Simplify (/ (- (* y.im x.re)) (+ (pow y.im 2) (pow y.re 2))) into (* -1 (/ (* y.im x.re) (+ (pow y.re 2) (pow y.im 2))))
7.481 * [taylor]: Taking taylor expansion of (* -1 (/ (* y.im x.re) (+ (pow y.re 2) (pow y.im 2)))) in y.re
7.481 * [taylor]: Taking taylor expansion of -1 in y.re
7.481 * [backup-simplify]: Simplify -1 into -1
7.481 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (+ (pow y.re 2) (pow y.im 2))) in y.re
7.481 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.481 * [taylor]: Taking taylor expansion of y.im in y.re
7.481 * [backup-simplify]: Simplify y.im into y.im
7.481 * [taylor]: Taking taylor expansion of x.re in y.re
7.481 * [backup-simplify]: Simplify x.re into x.re
7.481 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
7.481 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
7.481 * [taylor]: Taking taylor expansion of y.re in y.re
7.481 * [backup-simplify]: Simplify 0 into 0
7.481 * [backup-simplify]: Simplify 1 into 1
7.481 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
7.481 * [taylor]: Taking taylor expansion of y.im in y.re
7.482 * [backup-simplify]: Simplify y.im into y.im
7.482 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.482 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.482 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
7.482 * [backup-simplify]: Simplify (/ (* y.im x.re) (pow y.im 2)) into (/ x.re y.im)
7.482 * [backup-simplify]: Simplify (* -1 (/ x.re y.im)) into (* -1 (/ x.re y.im))
7.482 * [taylor]: Taking taylor expansion of (* -1 (/ x.re y.im)) in x.re
7.482 * [taylor]: Taking taylor expansion of -1 in x.re
7.482 * [backup-simplify]: Simplify -1 into -1
7.482 * [taylor]: Taking taylor expansion of (/ x.re y.im) in x.re
7.482 * [taylor]: Taking taylor expansion of x.re in x.re
7.482 * [backup-simplify]: Simplify 0 into 0
7.482 * [backup-simplify]: Simplify 1 into 1
7.482 * [taylor]: Taking taylor expansion of y.im in x.re
7.482 * [backup-simplify]: Simplify y.im into y.im
7.482 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.483 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.483 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.483 * [backup-simplify]: Simplify (- 0) into 0
7.483 * [backup-simplify]: Simplify (+ y.re 0) into y.re
7.484 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y.re 2) (pow y.im 2))) 0) (* 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
7.485 * [backup-simplify]: Simplify (- (/ y.re (+ (pow y.im 2) (pow y.re 2))) (+ (* (* -1 (/ (* y.im x.re) (+ (pow y.re 2) (pow y.im 2)))) (/ 0 (+ (pow y.im 2) (pow y.re 2)))))) into (/ y.re (+ (pow y.re 2) (pow y.im 2)))
7.485 * [taylor]: Taking taylor expansion of (/ y.re (+ (pow y.re 2) (pow y.im 2))) in y.re
7.485 * [taylor]: Taking taylor expansion of y.re in y.re
7.485 * [backup-simplify]: Simplify 0 into 0
7.485 * [backup-simplify]: Simplify 1 into 1
7.485 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
7.485 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
7.485 * [taylor]: Taking taylor expansion of y.re in y.re
7.485 * [backup-simplify]: Simplify 0 into 0
7.485 * [backup-simplify]: Simplify 1 into 1
7.485 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
7.485 * [taylor]: Taking taylor expansion of y.im in y.re
7.485 * [backup-simplify]: Simplify y.im into y.im
7.485 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.485 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
7.486 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.486 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.486 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.486 * [backup-simplify]: Simplify (+ 0 0) into 0
7.487 * [backup-simplify]: Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.re y.im) (/ 0 (pow y.im 2))))) into 0
7.487 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ x.re y.im))) into 0
7.487 * [taylor]: Taking taylor expansion of 0 in x.re
7.487 * [backup-simplify]: Simplify 0 into 0
7.487 * [taylor]: Taking taylor expansion of 0 in y.im
7.487 * [backup-simplify]: Simplify 0 into 0
7.487 * [backup-simplify]: Simplify 0 into 0
7.488 * [backup-simplify]: Simplify (* -1 (/ 1 y.im)) into (/ -1 y.im)
7.488 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
7.488 * [taylor]: Taking taylor expansion of -1 in y.im
7.488 * [backup-simplify]: Simplify -1 into -1
7.488 * [taylor]: Taking taylor expansion of y.im in y.im
7.488 * [backup-simplify]: Simplify 0 into 0
7.488 * [backup-simplify]: Simplify 1 into 1
7.488 * [backup-simplify]: Simplify (/ -1 1) into -1
7.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.489 * [backup-simplify]: Simplify 0 into 0
7.490 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
7.491 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
7.491 * [backup-simplify]: Simplify (- 0) into 0
7.491 * [backup-simplify]: Simplify (+ 0 0) into 0
7.492 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
7.492 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
7.492 * [backup-simplify]: Simplify (+ 0 0) into 0
7.494 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
7.494 * [backup-simplify]: Simplify (+ (* (sqrt (+ (pow y.re 2) (pow y.im 2))) 0) (+ (* 0 0) (* 0 (sqrt (+ (pow y.re 2) (pow y.im 2)))))) into 0
7.496 * [backup-simplify]: Simplify (- (/ 0 (+ (pow y.im 2) (pow y.re 2))) (+ (* (* -1 (/ (* y.im x.re) (+ (pow y.re 2) (pow y.im 2)))) (/ 0 (+ (pow y.im 2) (pow y.re 2)))) (* (/ y.re (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.im 2) (pow y.re 2)))))) into 0
7.496 * [taylor]: Taking taylor expansion of 0 in y.re
7.496 * [backup-simplify]: Simplify 0 into 0
7.496 * [taylor]: Taking taylor expansion of 0 in x.re
7.496 * [backup-simplify]: Simplify 0 into 0
7.496 * [taylor]: Taking taylor expansion of 0 in y.im
7.496 * [backup-simplify]: Simplify 0 into 0
7.496 * [backup-simplify]: Simplify 0 into 0
7.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
7.496 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
7.496 * [taylor]: Taking taylor expansion of y.im in x.re
7.496 * [backup-simplify]: Simplify y.im into y.im
7.496 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.497 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.497 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
7.497 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
7.497 * [taylor]: Taking taylor expansion of y.im in y.im
7.497 * [backup-simplify]: Simplify 0 into 0
7.497 * [backup-simplify]: Simplify 1 into 1
7.497 * [backup-simplify]: Simplify (* 1 1) into 1
7.498 * [backup-simplify]: Simplify (/ 1 1) into 1
7.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.501 * [backup-simplify]: Simplify 0 into 0
7.502 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
7.502 * [backup-simplify]: Simplify (* 1 1) into 1
7.502 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
7.503 * [backup-simplify]: Simplify (+ 1 0) into 1
7.504 * [backup-simplify]: Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.re y.im) (/ 1 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into (- (/ x.re (pow y.im 3)))
7.504 * [backup-simplify]: Simplify (+ (* -1 (- (/ x.re (pow y.im 3)))) (+ (* 0 0) (* 0 (/ x.re y.im)))) into (/ x.re (pow y.im 3))
7.504 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 3)) in x.re
7.504 * [taylor]: Taking taylor expansion of x.re in x.re
7.504 * [backup-simplify]: Simplify 0 into 0
7.504 * [backup-simplify]: Simplify 1 into 1
7.504 * [taylor]: Taking taylor expansion of (pow y.im 3) in x.re
7.504 * [taylor]: Taking taylor expansion of y.im in x.re
7.504 * [backup-simplify]: Simplify y.im into y.im
7.505 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.505 * [backup-simplify]: Simplify (* y.im (pow y.im 2)) into (pow y.im 3)
7.505 * [backup-simplify]: Simplify (/ 1 (pow y.im 3)) into (/ 1 (pow y.im 3))
7.505 * [taylor]: Taking taylor expansion of 0 in y.im
7.505 * [backup-simplify]: Simplify 0 into 0
7.505 * [backup-simplify]: Simplify 0 into 0
7.505 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.506 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 (/ 1 y.im))) into 0
7.506 * [taylor]: Taking taylor expansion of 0 in y.im
7.506 * [backup-simplify]: Simplify 0 into 0
7.506 * [backup-simplify]: Simplify 0 into 0
7.506 * [backup-simplify]: Simplify 0 into 0
7.507 * [backup-simplify]: Simplify (/ (/ (- (* (/ 1 x.im) (/ 1 y.re)) (* (/ 1 x.re) (/ 1 y.im))) (hypot (/ 1 y.re) (/ 1 y.im))) (hypot (/ 1 y.re) (/ 1 y.im))) into (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2))
7.507 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2)) in (x.im y.re x.re y.im) around 0
7.507 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2)) in y.im
7.507 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
7.507 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
7.507 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
7.507 * [taylor]: Taking taylor expansion of y.re in y.im
7.507 * [backup-simplify]: Simplify y.re into y.re
7.507 * [taylor]: Taking taylor expansion of x.im in y.im
7.507 * [backup-simplify]: Simplify x.im into x.im
7.507 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.507 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
7.507 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
7.507 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
7.507 * [taylor]: Taking taylor expansion of y.im in y.im
7.507 * [backup-simplify]: Simplify 0 into 0
7.507 * [backup-simplify]: Simplify 1 into 1
7.507 * [taylor]: Taking taylor expansion of x.re in y.im
7.507 * [backup-simplify]: Simplify x.re into x.re
7.507 * [backup-simplify]: Simplify (* 0 x.re) into 0
7.508 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
7.508 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
7.508 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2) in y.im
7.508 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.im
7.508 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
7.508 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
7.508 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
7.508 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
7.508 * [taylor]: Taking taylor expansion of y.re in y.im
7.508 * [backup-simplify]: Simplify y.re into y.re
7.508 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.508 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
7.508 * [taylor]: Taking taylor expansion of y.re in y.im
7.508 * [backup-simplify]: Simplify y.re into y.re
7.508 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.508 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
7.509 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
7.509 * [taylor]: Taking taylor expansion of y.im in y.im
7.509 * [backup-simplify]: Simplify 0 into 0
7.509 * [backup-simplify]: Simplify 1 into 1
7.509 * [backup-simplify]: Simplify (/ 1 1) into 1
7.509 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
7.509 * [taylor]: Taking taylor expansion of y.im in y.im
7.509 * [backup-simplify]: Simplify 0 into 0
7.509 * [backup-simplify]: Simplify 1 into 1
7.509 * [backup-simplify]: Simplify (/ 1 1) into 1
7.510 * [backup-simplify]: Simplify (* 1 1) into 1
7.510 * [backup-simplify]: Simplify (+ 0 1) into 1
7.511 * [backup-simplify]: Simplify (sqrt 1) into 1
7.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.513 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.513 * [backup-simplify]: Simplify (+ 0 0) into 0
7.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.514 * [backup-simplify]: Simplify (- (/ 1 x.re)) into (- (/ 1 x.re))
7.514 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x.re))) into (- (/ 1 x.re))
7.514 * [backup-simplify]: Simplify (* 1 1) into 1
7.515 * [backup-simplify]: Simplify (/ (- (/ 1 x.re)) 1) into (/ -1 x.re)
7.515 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2)) in x.re
7.515 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
7.515 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
7.515 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
7.515 * [taylor]: Taking taylor expansion of y.re in x.re
7.515 * [backup-simplify]: Simplify y.re into y.re
7.515 * [taylor]: Taking taylor expansion of x.im in x.re
7.515 * [backup-simplify]: Simplify x.im into x.im
7.515 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.515 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
7.515 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
7.515 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.515 * [taylor]: Taking taylor expansion of y.im in x.re
7.515 * [backup-simplify]: Simplify y.im into y.im
7.515 * [taylor]: Taking taylor expansion of x.re in x.re
7.515 * [backup-simplify]: Simplify 0 into 0
7.515 * [backup-simplify]: Simplify 1 into 1
7.515 * [backup-simplify]: Simplify (* y.im 0) into 0
7.516 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
7.516 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.516 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2) in x.re
7.516 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.re
7.516 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
7.516 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
7.516 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
7.516 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
7.516 * [taylor]: Taking taylor expansion of y.re in x.re
7.516 * [backup-simplify]: Simplify y.re into y.re
7.516 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.516 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
7.516 * [taylor]: Taking taylor expansion of y.re in x.re
7.516 * [backup-simplify]: Simplify y.re into y.re
7.516 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.516 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
7.516 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
7.516 * [taylor]: Taking taylor expansion of y.im in x.re
7.516 * [backup-simplify]: Simplify y.im into y.im
7.516 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.517 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
7.517 * [taylor]: Taking taylor expansion of y.im in x.re
7.517 * [backup-simplify]: Simplify y.im into y.im
7.517 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.517 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
7.517 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
7.517 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.518 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
7.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.518 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
7.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.518 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
7.519 * [backup-simplify]: Simplify (+ 0 0) into 0
7.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.520 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
7.520 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y.im))) into (- (/ 1 y.im))
7.520 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.521 * [backup-simplify]: Simplify (/ (- (/ 1 y.im)) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ -1 (* y.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))
7.521 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2)) in y.re
7.521 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
7.521 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
7.521 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
7.521 * [taylor]: Taking taylor expansion of y.re in y.re
7.521 * [backup-simplify]: Simplify 0 into 0
7.521 * [backup-simplify]: Simplify 1 into 1
7.521 * [taylor]: Taking taylor expansion of x.im in y.re
7.521 * [backup-simplify]: Simplify x.im into x.im
7.521 * [backup-simplify]: Simplify (* 0 x.im) into 0
7.522 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
7.522 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
7.522 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
7.522 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.522 * [taylor]: Taking taylor expansion of y.im in y.re
7.522 * [backup-simplify]: Simplify y.im into y.im
7.522 * [taylor]: Taking taylor expansion of x.re in y.re
7.522 * [backup-simplify]: Simplify x.re into x.re
7.522 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.522 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.522 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2) in y.re
7.522 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
7.522 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
7.522 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
7.522 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
7.522 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
7.522 * [taylor]: Taking taylor expansion of y.re in y.re
7.522 * [backup-simplify]: Simplify 0 into 0
7.522 * [backup-simplify]: Simplify 1 into 1
7.523 * [backup-simplify]: Simplify (/ 1 1) into 1
7.523 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
7.523 * [taylor]: Taking taylor expansion of y.re in y.re
7.523 * [backup-simplify]: Simplify 0 into 0
7.523 * [backup-simplify]: Simplify 1 into 1
7.524 * [backup-simplify]: Simplify (/ 1 1) into 1
7.524 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
7.524 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
7.524 * [taylor]: Taking taylor expansion of y.im in y.re
7.524 * [backup-simplify]: Simplify y.im into y.im
7.524 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.524 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
7.524 * [taylor]: Taking taylor expansion of y.im in y.re
7.524 * [backup-simplify]: Simplify y.im into y.im
7.524 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.524 * [backup-simplify]: Simplify (* 1 1) into 1
7.525 * [backup-simplify]: Simplify (+ 1 0) into 1
7.525 * [backup-simplify]: Simplify (sqrt 1) into 1
7.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.527 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.528 * [backup-simplify]: Simplify (+ 0 0) into 0
7.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.528 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
7.529 * [backup-simplify]: Simplify (* 1 1) into 1
7.529 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
7.529 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2)) in x.im
7.529 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
7.529 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
7.529 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.529 * [taylor]: Taking taylor expansion of y.re in x.im
7.529 * [backup-simplify]: Simplify y.re into y.re
7.529 * [taylor]: Taking taylor expansion of x.im in x.im
7.529 * [backup-simplify]: Simplify 0 into 0
7.529 * [backup-simplify]: Simplify 1 into 1
7.529 * [backup-simplify]: Simplify (* y.re 0) into 0
7.530 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.530 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.530 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
7.530 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.530 * [taylor]: Taking taylor expansion of y.im in x.im
7.530 * [backup-simplify]: Simplify y.im into y.im
7.530 * [taylor]: Taking taylor expansion of x.re in x.im
7.530 * [backup-simplify]: Simplify x.re into x.re
7.530 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.530 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.530 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2) in x.im
7.530 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.im
7.530 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
7.530 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
7.530 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
7.530 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
7.530 * [taylor]: Taking taylor expansion of y.re in x.im
7.531 * [backup-simplify]: Simplify y.re into y.re
7.531 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.531 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
7.531 * [taylor]: Taking taylor expansion of y.re in x.im
7.531 * [backup-simplify]: Simplify y.re into y.re
7.531 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.531 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
7.531 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
7.531 * [taylor]: Taking taylor expansion of y.im in x.im
7.531 * [backup-simplify]: Simplify y.im into y.im
7.531 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.531 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
7.531 * [taylor]: Taking taylor expansion of y.im in x.im
7.531 * [backup-simplify]: Simplify y.im into y.im
7.531 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.531 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
7.531 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
7.532 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.532 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
7.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.532 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
7.532 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.533 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
7.533 * [backup-simplify]: Simplify (+ 0 0) into 0
7.534 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.534 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
7.534 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.535 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re))
7.535 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2)) in x.im
7.535 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
7.535 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
7.535 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.535 * [taylor]: Taking taylor expansion of y.re in x.im
7.535 * [backup-simplify]: Simplify y.re into y.re
7.535 * [taylor]: Taking taylor expansion of x.im in x.im
7.535 * [backup-simplify]: Simplify 0 into 0
7.535 * [backup-simplify]: Simplify 1 into 1
7.535 * [backup-simplify]: Simplify (* y.re 0) into 0
7.536 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.536 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.536 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
7.536 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.536 * [taylor]: Taking taylor expansion of y.im in x.im
7.536 * [backup-simplify]: Simplify y.im into y.im
7.536 * [taylor]: Taking taylor expansion of x.re in x.im
7.536 * [backup-simplify]: Simplify x.re into x.re
7.536 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.536 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.536 * [taylor]: Taking taylor expansion of (pow (hypot (/ 1 y.re) (/ 1 y.im)) 2) in x.im
7.536 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.im
7.536 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
7.536 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
7.536 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
7.536 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
7.536 * [taylor]: Taking taylor expansion of y.re in x.im
7.536 * [backup-simplify]: Simplify y.re into y.re
7.536 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.536 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
7.536 * [taylor]: Taking taylor expansion of y.re in x.im
7.536 * [backup-simplify]: Simplify y.re into y.re
7.536 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.537 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
7.537 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
7.537 * [taylor]: Taking taylor expansion of y.im in x.im
7.537 * [backup-simplify]: Simplify y.im into y.im
7.537 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.537 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
7.537 * [taylor]: Taking taylor expansion of y.im in x.im
7.537 * [backup-simplify]: Simplify y.im into y.im
7.537 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.537 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
7.537 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
7.537 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.538 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
7.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.538 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
7.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
7.539 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
7.539 * [backup-simplify]: Simplify (+ 0 0) into 0
7.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.539 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
7.540 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.541 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re))
7.541 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) in y.re
7.541 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re) in y.re
7.541 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
7.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
7.541 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
7.541 * [taylor]: Taking taylor expansion of y.im in y.re
7.541 * [backup-simplify]: Simplify y.im into y.im
7.541 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.541 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.541 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
7.541 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
7.541 * [taylor]: Taking taylor expansion of y.re in y.re
7.541 * [backup-simplify]: Simplify 0 into 0
7.541 * [backup-simplify]: Simplify 1 into 1
7.542 * [backup-simplify]: Simplify (* 1 1) into 1
7.542 * [backup-simplify]: Simplify (/ 1 1) into 1
7.542 * [taylor]: Taking taylor expansion of y.re in y.re
7.542 * [backup-simplify]: Simplify 0 into 0
7.542 * [backup-simplify]: Simplify 1 into 1
7.543 * [backup-simplify]: Simplify (+ 0 1) into 1
7.543 * [backup-simplify]: Simplify (* 1 0) into 0
7.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.545 * [backup-simplify]: Simplify (+ 0 0) into 0
7.545 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
7.546 * [backup-simplify]: Simplify (/ 1 1) into 1
7.546 * [taylor]: Taking taylor expansion of 1 in x.re
7.546 * [backup-simplify]: Simplify 1 into 1
7.547 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
7.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.547 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
7.547 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
7.548 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0) (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.549 * [backup-simplify]: Simplify (- (/ (- (/ 1 (* y.im x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))
7.549 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) in y.re
7.549 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re
7.549 * [taylor]: Taking taylor expansion of (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re
7.549 * [taylor]: Taking taylor expansion of y.im in y.re
7.549 * [backup-simplify]: Simplify y.im into y.im
7.549 * [taylor]: Taking taylor expansion of (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re
7.549 * [taylor]: Taking taylor expansion of x.re in y.re
7.549 * [backup-simplify]: Simplify x.re into x.re
7.549 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
7.549 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
7.549 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
7.549 * [taylor]: Taking taylor expansion of y.im in y.re
7.549 * [backup-simplify]: Simplify y.im into y.im
7.549 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.550 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.550 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
7.550 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
7.550 * [taylor]: Taking taylor expansion of y.re in y.re
7.550 * [backup-simplify]: Simplify 0 into 0
7.550 * [backup-simplify]: Simplify 1 into 1
7.550 * [backup-simplify]: Simplify (* 1 1) into 1
7.551 * [backup-simplify]: Simplify (/ 1 1) into 1
7.551 * [backup-simplify]: Simplify (+ 0 1) into 1
7.552 * [backup-simplify]: Simplify (* x.re 1) into x.re
7.552 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.552 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.554 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2))
7.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow y.im 2)) 0))) into 0
7.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.556 * [taylor]: Taking taylor expansion of 0 in x.re
7.556 * [backup-simplify]: Simplify 0 into 0
7.556 * [taylor]: Taking taylor expansion of 1 in y.im
7.556 * [backup-simplify]: Simplify 1 into 1
7.556 * [backup-simplify]: Simplify 0 into 0
7.557 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.557 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
7.558 * [backup-simplify]: Simplify (- 0) into 0
7.558 * [backup-simplify]: Simplify (+ 0 0) into 0
7.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.559 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
7.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.559 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.560 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
7.560 * [backup-simplify]: Simplify (+ 0 0) into 0
7.561 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.563 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0
7.564 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0
7.564 * [taylor]: Taking taylor expansion of 0 in y.re
7.564 * [backup-simplify]: Simplify 0 into 0
7.564 * [taylor]: Taking taylor expansion of 0 in x.re
7.565 * [backup-simplify]: Simplify 0 into 0
7.565 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
7.565 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in x.re
7.565 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
7.565 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.565 * [taylor]: Taking taylor expansion of y.im in x.re
7.565 * [backup-simplify]: Simplify y.im into y.im
7.565 * [taylor]: Taking taylor expansion of x.re in x.re
7.565 * [backup-simplify]: Simplify 0 into 0
7.565 * [backup-simplify]: Simplify 1 into 1
7.565 * [backup-simplify]: Simplify (* y.im 0) into 0
7.566 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
7.566 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.566 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
7.566 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im
7.566 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
7.566 * [taylor]: Taking taylor expansion of y.im in y.im
7.566 * [backup-simplify]: Simplify 0 into 0
7.566 * [backup-simplify]: Simplify 1 into 1
7.566 * [backup-simplify]: Simplify (/ 1 1) into 1
7.566 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.567 * [backup-simplify]: Simplify (- 0) into 0
7.567 * [backup-simplify]: Simplify 0 into 0
7.567 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.568 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
7.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.569 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.569 * [backup-simplify]: Simplify (+ 0 0) into 0
7.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 1) (* 0 0)))) into (/ 1 (pow y.im 2))
7.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
7.571 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.re
7.571 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
7.571 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
7.571 * [taylor]: Taking taylor expansion of y.im in x.re
7.571 * [backup-simplify]: Simplify y.im into y.im
7.571 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.571 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.571 * [taylor]: Taking taylor expansion of 0 in y.im
7.571 * [backup-simplify]: Simplify 0 into 0
7.571 * [backup-simplify]: Simplify 0 into 0
7.571 * [taylor]: Taking taylor expansion of 0 in y.im
7.571 * [backup-simplify]: Simplify 0 into 0
7.571 * [backup-simplify]: Simplify 0 into 0
7.571 * [backup-simplify]: Simplify 0 into 0
7.572 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.572 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
7.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
7.572 * [backup-simplify]: Simplify (- 0) into 0
7.573 * [backup-simplify]: Simplify (+ 0 0) into 0
7.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.573 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.re))))) into 0
7.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.574 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.im))))) into 0
7.575 * [backup-simplify]: Simplify (+ 0 0) into 0
7.575 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.576 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0
7.577 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0
7.577 * [taylor]: Taking taylor expansion of 0 in y.re
7.577 * [backup-simplify]: Simplify 0 into 0
7.577 * [taylor]: Taking taylor expansion of 0 in x.re
7.577 * [backup-simplify]: Simplify 0 into 0
7.577 * [taylor]: Taking taylor expansion of 0 in x.re
7.577 * [backup-simplify]: Simplify 0 into 0
7.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.578 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.579 * [backup-simplify]: Simplify (+ 0 0) into 0
7.579 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 1)) into 0
7.579 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
7.579 * [backup-simplify]: Simplify (- 0) into 0
7.579 * [taylor]: Taking taylor expansion of 0 in x.re
7.579 * [backup-simplify]: Simplify 0 into 0
7.580 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
7.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
7.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.581 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.581 * [backup-simplify]: Simplify (+ 0 0) into 0
7.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
7.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
7.583 * [taylor]: Taking taylor expansion of 0 in x.re
7.583 * [backup-simplify]: Simplify 0 into 0
7.583 * [taylor]: Taking taylor expansion of 0 in y.im
7.583 * [backup-simplify]: Simplify 0 into 0
7.583 * [backup-simplify]: Simplify 0 into 0
7.583 * [backup-simplify]: Simplify 0 into 0
7.584 * [backup-simplify]: Simplify (/ (/ (- (* (/ 1 (- x.im)) (/ 1 (- y.re))) (* (/ 1 (- x.re)) (/ 1 (- y.im)))) (hypot (/ 1 (- y.re)) (/ 1 (- y.im)))) (hypot (/ 1 (- y.re)) (/ 1 (- y.im)))) into (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2))
7.584 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2)) in (x.im y.re x.re y.im) around 0
7.584 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2)) in y.im
7.584 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.im
7.584 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.im
7.584 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
7.584 * [taylor]: Taking taylor expansion of y.re in y.im
7.584 * [backup-simplify]: Simplify y.re into y.re
7.584 * [taylor]: Taking taylor expansion of x.im in y.im
7.584 * [backup-simplify]: Simplify x.im into x.im
7.584 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.584 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
7.584 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
7.584 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
7.584 * [taylor]: Taking taylor expansion of y.im in y.im
7.584 * [backup-simplify]: Simplify 0 into 0
7.584 * [backup-simplify]: Simplify 1 into 1
7.584 * [taylor]: Taking taylor expansion of x.re in y.im
7.584 * [backup-simplify]: Simplify x.re into x.re
7.584 * [backup-simplify]: Simplify (* 0 x.re) into 0
7.584 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
7.584 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
7.584 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2) in y.im
7.584 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.im
7.585 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
7.585 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.im
7.585 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.im
7.585 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
7.585 * [taylor]: Taking taylor expansion of -1 in y.im
7.585 * [backup-simplify]: Simplify -1 into -1
7.585 * [taylor]: Taking taylor expansion of y.re in y.im
7.585 * [backup-simplify]: Simplify y.re into y.re
7.585 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.585 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
7.585 * [taylor]: Taking taylor expansion of -1 in y.im
7.585 * [backup-simplify]: Simplify -1 into -1
7.585 * [taylor]: Taking taylor expansion of y.re in y.im
7.585 * [backup-simplify]: Simplify y.re into y.re
7.585 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.585 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.im
7.585 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
7.585 * [taylor]: Taking taylor expansion of -1 in y.im
7.585 * [backup-simplify]: Simplify -1 into -1
7.585 * [taylor]: Taking taylor expansion of y.im in y.im
7.585 * [backup-simplify]: Simplify 0 into 0
7.585 * [backup-simplify]: Simplify 1 into 1
7.588 * [backup-simplify]: Simplify (/ -1 1) into -1
7.588 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
7.588 * [taylor]: Taking taylor expansion of -1 in y.im
7.588 * [backup-simplify]: Simplify -1 into -1
7.588 * [taylor]: Taking taylor expansion of y.im in y.im
7.588 * [backup-simplify]: Simplify 0 into 0
7.588 * [backup-simplify]: Simplify 1 into 1
7.589 * [backup-simplify]: Simplify (/ -1 1) into -1
7.589 * [backup-simplify]: Simplify (* -1 -1) into 1
7.589 * [backup-simplify]: Simplify (+ 0 1) into 1
7.590 * [backup-simplify]: Simplify (sqrt 1) into 1
7.590 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.591 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.591 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.592 * [backup-simplify]: Simplify (+ 0 0) into 0
7.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.593 * [backup-simplify]: Simplify (- (/ 1 x.re)) into (- (/ 1 x.re))
7.593 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x.re))) into (- (/ 1 x.re))
7.593 * [backup-simplify]: Simplify (* 1 1) into 1
7.593 * [backup-simplify]: Simplify (/ (- (/ 1 x.re)) 1) into (/ -1 x.re)
7.593 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2)) in x.re
7.593 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.re
7.593 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.re
7.593 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
7.593 * [taylor]: Taking taylor expansion of y.re in x.re
7.593 * [backup-simplify]: Simplify y.re into y.re
7.593 * [taylor]: Taking taylor expansion of x.im in x.re
7.594 * [backup-simplify]: Simplify x.im into x.im
7.594 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
7.594 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
7.594 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
7.594 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.594 * [taylor]: Taking taylor expansion of y.im in x.re
7.594 * [backup-simplify]: Simplify y.im into y.im
7.594 * [taylor]: Taking taylor expansion of x.re in x.re
7.594 * [backup-simplify]: Simplify 0 into 0
7.594 * [backup-simplify]: Simplify 1 into 1
7.594 * [backup-simplify]: Simplify (* y.im 0) into 0
7.594 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
7.594 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.594 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2) in x.re
7.594 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.re
7.595 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
7.595 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.re
7.595 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.re
7.595 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
7.595 * [taylor]: Taking taylor expansion of -1 in x.re
7.595 * [backup-simplify]: Simplify -1 into -1
7.595 * [taylor]: Taking taylor expansion of y.re in x.re
7.595 * [backup-simplify]: Simplify y.re into y.re
7.595 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.595 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
7.595 * [taylor]: Taking taylor expansion of -1 in x.re
7.595 * [backup-simplify]: Simplify -1 into -1
7.595 * [taylor]: Taking taylor expansion of y.re in x.re
7.595 * [backup-simplify]: Simplify y.re into y.re
7.595 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.595 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.re
7.595 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
7.595 * [taylor]: Taking taylor expansion of -1 in x.re
7.595 * [backup-simplify]: Simplify -1 into -1
7.595 * [taylor]: Taking taylor expansion of y.im in x.re
7.595 * [backup-simplify]: Simplify y.im into y.im
7.595 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.595 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
7.595 * [taylor]: Taking taylor expansion of -1 in x.re
7.595 * [backup-simplify]: Simplify -1 into -1
7.595 * [taylor]: Taking taylor expansion of y.im in x.re
7.595 * [backup-simplify]: Simplify y.im into y.im
7.596 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.596 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
7.596 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
7.596 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.596 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
7.597 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
7.597 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
7.597 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
7.597 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
7.597 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
7.597 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
7.598 * [backup-simplify]: Simplify (+ 0 0) into 0
7.598 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.598 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
7.598 * [backup-simplify]: Simplify (+ 0 (- (/ 1 y.im))) into (- (/ 1 y.im))
7.599 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.599 * [backup-simplify]: Simplify (/ (- (/ 1 y.im)) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ -1 (* y.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))
7.599 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2)) in y.re
7.599 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in y.re
7.599 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in y.re
7.599 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
7.600 * [taylor]: Taking taylor expansion of y.re in y.re
7.600 * [backup-simplify]: Simplify 0 into 0
7.600 * [backup-simplify]: Simplify 1 into 1
7.600 * [taylor]: Taking taylor expansion of x.im in y.re
7.600 * [backup-simplify]: Simplify x.im into x.im
7.600 * [backup-simplify]: Simplify (* 0 x.im) into 0
7.600 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
7.600 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
7.600 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.re
7.600 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
7.600 * [taylor]: Taking taylor expansion of y.im in y.re
7.600 * [backup-simplify]: Simplify y.im into y.im
7.600 * [taylor]: Taking taylor expansion of x.re in y.re
7.600 * [backup-simplify]: Simplify x.re into x.re
7.600 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.601 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.601 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2) in y.re
7.601 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
7.601 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
7.601 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
7.601 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
7.601 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
7.601 * [taylor]: Taking taylor expansion of -1 in y.re
7.601 * [backup-simplify]: Simplify -1 into -1
7.601 * [taylor]: Taking taylor expansion of y.re in y.re
7.601 * [backup-simplify]: Simplify 0 into 0
7.601 * [backup-simplify]: Simplify 1 into 1
7.602 * [backup-simplify]: Simplify (/ -1 1) into -1
7.602 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
7.602 * [taylor]: Taking taylor expansion of -1 in y.re
7.602 * [backup-simplify]: Simplify -1 into -1
7.602 * [taylor]: Taking taylor expansion of y.re in y.re
7.602 * [backup-simplify]: Simplify 0 into 0
7.602 * [backup-simplify]: Simplify 1 into 1
7.602 * [backup-simplify]: Simplify (/ -1 1) into -1
7.602 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
7.602 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
7.602 * [taylor]: Taking taylor expansion of -1 in y.re
7.602 * [backup-simplify]: Simplify -1 into -1
7.602 * [taylor]: Taking taylor expansion of y.im in y.re
7.602 * [backup-simplify]: Simplify y.im into y.im
7.602 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.602 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
7.602 * [taylor]: Taking taylor expansion of -1 in y.re
7.602 * [backup-simplify]: Simplify -1 into -1
7.602 * [taylor]: Taking taylor expansion of y.im in y.re
7.603 * [backup-simplify]: Simplify y.im into y.im
7.603 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.603 * [backup-simplify]: Simplify (* -1 -1) into 1
7.603 * [backup-simplify]: Simplify (+ 1 0) into 1
7.604 * [backup-simplify]: Simplify (sqrt 1) into 1
7.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
7.606 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
7.606 * [backup-simplify]: Simplify (+ 0 0) into 0
7.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
7.607 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
7.608 * [backup-simplify]: Simplify (* 1 1) into 1
7.608 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
7.608 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2)) in x.im
7.608 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
7.608 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
7.608 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.608 * [taylor]: Taking taylor expansion of y.re in x.im
7.608 * [backup-simplify]: Simplify y.re into y.re
7.608 * [taylor]: Taking taylor expansion of x.im in x.im
7.608 * [backup-simplify]: Simplify 0 into 0
7.608 * [backup-simplify]: Simplify 1 into 1
7.608 * [backup-simplify]: Simplify (* y.re 0) into 0
7.608 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.608 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.609 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
7.609 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.609 * [taylor]: Taking taylor expansion of y.im in x.im
7.609 * [backup-simplify]: Simplify y.im into y.im
7.609 * [taylor]: Taking taylor expansion of x.re in x.im
7.609 * [backup-simplify]: Simplify x.re into x.re
7.609 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.609 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.609 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2) in x.im
7.609 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.im
7.609 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
7.609 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.im
7.609 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
7.609 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
7.609 * [taylor]: Taking taylor expansion of -1 in x.im
7.609 * [backup-simplify]: Simplify -1 into -1
7.609 * [taylor]: Taking taylor expansion of y.re in x.im
7.609 * [backup-simplify]: Simplify y.re into y.re
7.609 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.609 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
7.609 * [taylor]: Taking taylor expansion of -1 in x.im
7.609 * [backup-simplify]: Simplify -1 into -1
7.609 * [taylor]: Taking taylor expansion of y.re in x.im
7.610 * [backup-simplify]: Simplify y.re into y.re
7.610 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.610 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.im
7.610 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
7.610 * [taylor]: Taking taylor expansion of -1 in x.im
7.610 * [backup-simplify]: Simplify -1 into -1
7.610 * [taylor]: Taking taylor expansion of y.im in x.im
7.610 * [backup-simplify]: Simplify y.im into y.im
7.610 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.610 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
7.610 * [taylor]: Taking taylor expansion of -1 in x.im
7.610 * [backup-simplify]: Simplify -1 into -1
7.610 * [taylor]: Taking taylor expansion of y.im in x.im
7.610 * [backup-simplify]: Simplify y.im into y.im
7.610 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.610 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
7.610 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
7.610 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.611 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
7.611 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
7.611 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
7.611 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
7.611 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
7.612 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
7.612 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
7.612 * [backup-simplify]: Simplify (+ 0 0) into 0
7.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.613 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
7.613 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.614 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re))
7.614 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2)) in x.im
7.614 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re x.im)) (/ 1 (* y.im x.re))) in x.im
7.614 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.im)) in x.im
7.614 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
7.614 * [taylor]: Taking taylor expansion of y.re in x.im
7.614 * [backup-simplify]: Simplify y.re into y.re
7.614 * [taylor]: Taking taylor expansion of x.im in x.im
7.614 * [backup-simplify]: Simplify 0 into 0
7.614 * [backup-simplify]: Simplify 1 into 1
7.614 * [backup-simplify]: Simplify (* y.re 0) into 0
7.615 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
7.615 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
7.615 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.im
7.615 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
7.615 * [taylor]: Taking taylor expansion of y.im in x.im
7.615 * [backup-simplify]: Simplify y.im into y.im
7.615 * [taylor]: Taking taylor expansion of x.re in x.im
7.615 * [backup-simplify]: Simplify x.re into x.re
7.615 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.615 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.615 * [taylor]: Taking taylor expansion of (pow (hypot (/ -1 y.re) (/ -1 y.im)) 2) in x.im
7.615 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.im
7.615 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
7.615 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.im
7.615 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
7.615 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
7.615 * [taylor]: Taking taylor expansion of -1 in x.im
7.615 * [backup-simplify]: Simplify -1 into -1
7.615 * [taylor]: Taking taylor expansion of y.re in x.im
7.615 * [backup-simplify]: Simplify y.re into y.re
7.615 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.615 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
7.616 * [taylor]: Taking taylor expansion of -1 in x.im
7.616 * [backup-simplify]: Simplify -1 into -1
7.616 * [taylor]: Taking taylor expansion of y.re in x.im
7.616 * [backup-simplify]: Simplify y.re into y.re
7.616 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
7.616 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.im
7.616 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
7.616 * [taylor]: Taking taylor expansion of -1 in x.im
7.616 * [backup-simplify]: Simplify -1 into -1
7.616 * [taylor]: Taking taylor expansion of y.im in x.im
7.616 * [backup-simplify]: Simplify y.im into y.im
7.616 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.616 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
7.616 * [taylor]: Taking taylor expansion of -1 in x.im
7.616 * [backup-simplify]: Simplify -1 into -1
7.616 * [taylor]: Taking taylor expansion of y.im in x.im
7.616 * [backup-simplify]: Simplify y.im into y.im
7.616 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
7.616 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
7.616 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
7.617 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.617 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
7.617 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
7.617 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
7.618 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
7.618 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
7.618 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
7.618 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
7.619 * [backup-simplify]: Simplify (+ 0 0) into 0
7.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.620 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
7.620 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
7.621 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re))
7.621 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) in y.re
7.621 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re) in y.re
7.621 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
7.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
7.621 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
7.621 * [taylor]: Taking taylor expansion of y.im in y.re
7.621 * [backup-simplify]: Simplify y.im into y.im
7.621 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.621 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.621 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
7.621 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
7.621 * [taylor]: Taking taylor expansion of y.re in y.re
7.621 * [backup-simplify]: Simplify 0 into 0
7.621 * [backup-simplify]: Simplify 1 into 1
7.622 * [backup-simplify]: Simplify (* 1 1) into 1
7.622 * [backup-simplify]: Simplify (/ 1 1) into 1
7.622 * [taylor]: Taking taylor expansion of y.re in y.re
7.622 * [backup-simplify]: Simplify 0 into 0
7.622 * [backup-simplify]: Simplify 1 into 1
7.622 * [backup-simplify]: Simplify (+ 0 1) into 1
7.623 * [backup-simplify]: Simplify (* 1 0) into 0
7.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.624 * [backup-simplify]: Simplify (+ 0 0) into 0
7.624 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
7.624 * [backup-simplify]: Simplify (/ 1 1) into 1
7.624 * [taylor]: Taking taylor expansion of 1 in x.re
7.624 * [backup-simplify]: Simplify 1 into 1
7.625 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
7.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
7.625 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
7.625 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
7.626 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0) (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.626 * [backup-simplify]: Simplify (- (/ (- (/ 1 (* y.im x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))
7.626 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) in y.re
7.626 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re
7.626 * [taylor]: Taking taylor expansion of (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re
7.626 * [taylor]: Taking taylor expansion of y.im in y.re
7.626 * [backup-simplify]: Simplify y.im into y.im
7.626 * [taylor]: Taking taylor expansion of (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re
7.626 * [taylor]: Taking taylor expansion of x.re in y.re
7.626 * [backup-simplify]: Simplify x.re into x.re
7.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
7.626 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
7.627 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
7.627 * [taylor]: Taking taylor expansion of y.im in y.re
7.627 * [backup-simplify]: Simplify y.im into y.im
7.627 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.627 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.627 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
7.627 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
7.627 * [taylor]: Taking taylor expansion of y.re in y.re
7.627 * [backup-simplify]: Simplify 0 into 0
7.627 * [backup-simplify]: Simplify 1 into 1
7.627 * [backup-simplify]: Simplify (* 1 1) into 1
7.628 * [backup-simplify]: Simplify (/ 1 1) into 1
7.628 * [backup-simplify]: Simplify (+ 0 1) into 1
7.628 * [backup-simplify]: Simplify (* x.re 1) into x.re
7.628 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
7.628 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
7.629 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
7.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.630 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2))
7.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow y.im 2)) 0))) into 0
7.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.632 * [taylor]: Taking taylor expansion of 0 in x.re
7.632 * [backup-simplify]: Simplify 0 into 0
7.632 * [taylor]: Taking taylor expansion of 1 in y.im
7.632 * [backup-simplify]: Simplify 1 into 1
7.632 * [backup-simplify]: Simplify 0 into 0
7.633 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
7.633 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.633 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
7.634 * [backup-simplify]: Simplify (- 0) into 0
7.634 * [backup-simplify]: Simplify (+ 0 0) into 0
7.635 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.635 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.635 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (* 0 (/ -1 y.re)))) into 0
7.635 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.636 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.636 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
7.637 * [backup-simplify]: Simplify (+ 0 0) into 0
7.638 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.639 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0
7.640 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0
7.640 * [taylor]: Taking taylor expansion of 0 in y.re
7.640 * [backup-simplify]: Simplify 0 into 0
7.640 * [taylor]: Taking taylor expansion of 0 in x.re
7.640 * [backup-simplify]: Simplify 0 into 0
7.641 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
7.641 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in x.re
7.641 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in x.re
7.641 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
7.641 * [taylor]: Taking taylor expansion of y.im in x.re
7.641 * [backup-simplify]: Simplify y.im into y.im
7.641 * [taylor]: Taking taylor expansion of x.re in x.re
7.641 * [backup-simplify]: Simplify 0 into 0
7.641 * [backup-simplify]: Simplify 1 into 1
7.641 * [backup-simplify]: Simplify (* y.im 0) into 0
7.641 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
7.642 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
7.642 * [backup-simplify]: Simplify (- (/ 1 y.im)) into (- (/ 1 y.im))
7.642 * [taylor]: Taking taylor expansion of (- (/ 1 y.im)) in y.im
7.642 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
7.642 * [taylor]: Taking taylor expansion of y.im in y.im
7.642 * [backup-simplify]: Simplify 0 into 0
7.642 * [backup-simplify]: Simplify 1 into 1
7.642 * [backup-simplify]: Simplify (/ 1 1) into 1
7.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.644 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.644 * [backup-simplify]: Simplify (- 0) into 0
7.644 * [backup-simplify]: Simplify 0 into 0
7.644 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
7.645 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
7.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
7.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.647 * [backup-simplify]: Simplify (+ 0 0) into 0
7.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 1) (* 0 0)))) into (/ 1 (pow y.im 2))
7.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
7.649 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.re
7.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
7.649 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
7.649 * [taylor]: Taking taylor expansion of y.im in x.re
7.649 * [backup-simplify]: Simplify y.im into y.im
7.650 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
7.650 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
7.650 * [taylor]: Taking taylor expansion of 0 in y.im
7.650 * [backup-simplify]: Simplify 0 into 0
7.650 * [backup-simplify]: Simplify 0 into 0
7.650 * [taylor]: Taking taylor expansion of 0 in y.im
7.650 * [backup-simplify]: Simplify 0 into 0
7.650 * [backup-simplify]: Simplify 0 into 0
7.650 * [backup-simplify]: Simplify 0 into 0
7.651 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
7.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.652 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
7.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into 0
7.652 * [backup-simplify]: Simplify (- 0) into 0
7.653 * [backup-simplify]: Simplify (+ 0 0) into 0
7.653 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.653 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
7.654 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.re))))) into 0
7.654 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.655 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
7.656 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.im))))) into 0
7.656 * [backup-simplify]: Simplify (+ 0 0) into 0
7.657 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
7.659 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0
7.661 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (- (/ 1 (* y.im (* x.re (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0
7.661 * [taylor]: Taking taylor expansion of 0 in y.re
7.661 * [backup-simplify]: Simplify 0 into 0
7.661 * [taylor]: Taking taylor expansion of 0 in x.re
7.661 * [backup-simplify]: Simplify 0 into 0
7.661 * [taylor]: Taking taylor expansion of 0 in x.re
7.661 * [backup-simplify]: Simplify 0 into 0
7.662 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
7.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
7.663 * [backup-simplify]: Simplify (+ 0 0) into 0
7.663 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 1)) into 0
7.663 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
7.664 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
7.664 * [backup-simplify]: Simplify (- 0) into 0
7.664 * [taylor]: Taking taylor expansion of 0 in x.re
7.664 * [backup-simplify]: Simplify 0 into 0
7.665 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
7.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
7.666 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
7.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
7.667 * [backup-simplify]: Simplify (+ 0 0) into 0
7.669 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 0) (+ (* 0 1) (* 0 0))))) into 0
7.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
7.670 * [taylor]: Taking taylor expansion of 0 in x.re
7.670 * [backup-simplify]: Simplify 0 into 0
7.670 * [taylor]: Taking taylor expansion of 0 in y.im
7.670 * [backup-simplify]: Simplify 0 into 0
7.670 * [backup-simplify]: Simplify 0 into 0
7.670 * [backup-simplify]: Simplify 0 into 0
7.670 * * * [progress]: simplifying candidates
7.673 * [simplify]: Simplifying:
  (expm1 (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (log1p (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (- (log (- (* x.im y.re) (* x.re y.im))) (log (hypot y.re y.im)))
  (log (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (exp (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (/ (* (* (- (* x.im y.re) (* x.re y.im)) (- (* x.im y.re) (* x.re y.im))) (- (* x.im y.re) (* x.re y.im))) (* (* (hypot y.re y.im) (hypot y.re y.im)) (hypot y.re y.im)))
  (* (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (* (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (- (- (* x.im y.re) (* x.re y.im)))
  (- (hypot y.re y.im))
  (/ (* x.im y.re) (hypot y.re y.im))
  (/ (* x.re y.im) (hypot y.re y.im))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) 1)
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) 1)
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im)))
  (/ 1 1)
  (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))
  (/ 1 (hypot y.re y.im))
  (/ (hypot y.re y.im) (- (* x.im y.re) (* x.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) 1)
  (/ (hypot y.re y.im) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (/ (hypot y.re y.im) (sqrt (- (* x.im y.re) (* x.re y.im))))
  (/ (hypot y.re y.im) (- (* x.im y.re) (* x.re y.im)))
  (* (hypot y.re y.im) (+ (* (* x.im y.re) (* x.im y.re)) (+ (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.re y.im)))))
  (* (hypot y.re y.im) (+ (* x.im y.re) (* x.re y.im)))
  (fma x.im y.re (- (* y.im x.re)))
  (fma (- y.im) x.re (* y.im x.re))
  (expm1 (- (* x.im y.re) (* x.re y.im)))
  (log1p (- (* x.im y.re) (* x.re y.im)))
  (- (* x.re y.im))
  (/ (exp (* x.im y.re)) (exp (* x.re y.im)))
  (log (- (* x.im y.re) (* x.re y.im)))
  (exp (- (* x.im y.re) (* x.re y.im)))
  (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (cbrt (- (* x.im y.re) (* x.re y.im)))
  (* (* (- (* x.im y.re) (* x.re y.im)) (- (* x.im y.re) (* x.re y.im))) (- (* x.im y.re) (* x.re y.im)))
  (sqrt (- (* x.im y.re) (* x.re y.im)))
  (sqrt (- (* x.im y.re) (* x.re y.im)))
  (- (pow (* x.im y.re) 3) (pow (* x.re y.im) 3))
  (+ (* (* x.im y.re) (* x.im y.re)) (+ (* (* x.re y.im) (* x.re y.im)) (* (* x.im y.re) (* x.re y.im))))
  (- (* x.re y.im))
  (- (* (* x.im y.re) (* x.im y.re)) (* (* x.re y.im) (* x.re y.im)))
  (+ (* x.im y.re) (* x.re y.im))
  (- (* x.re y.im))
  (expm1 (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (log1p (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (- (- (log (- (* x.im y.re) (* x.re y.im))) (log (hypot y.re y.im))) (log (hypot y.re y.im)))
  (- (log (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (log (hypot y.re y.im)))
  (log (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (exp (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (/ (/ (* (* (- (* x.im y.re) (* x.re y.im)) (- (* x.im y.re) (* x.re y.im))) (- (* x.im y.re) (* x.re y.im))) (* (* (hypot y.re y.im) (hypot y.re y.im)) (hypot y.re y.im))) (* (* (hypot y.re y.im) (hypot y.re y.im)) (hypot y.re y.im)))
  (/ (* (* (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (* (* (hypot y.re y.im) (hypot y.re y.im)) (hypot y.re y.im)))
  (* (cbrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))) (cbrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))))
  (cbrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (* (* (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)) (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))) (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (sqrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (sqrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (- (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (- (hypot y.re y.im))
  (/ (/ (* x.im y.re) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (/ (* x.re y.im) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (* (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (* (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (* (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))) 1)
  (/ (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (hypot y.re y.im))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) 1)
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (hypot y.re y.im))
  (/ (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) 1)
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (sqrt (hypot y.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (sqrt (hypot y.re y.im))) 1)
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) 1) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im)) (cbrt (hypot y.re y.im)))
  (/ (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) 1) (sqrt (hypot y.re y.im)))
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im)) (sqrt (hypot y.re y.im)))
  (/ (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) 1) 1)
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) 1)
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))) 1)
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) 1) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im)) (cbrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) 1) (sqrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im)) (sqrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) 1) 1)
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) 1)
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ (/ 1 (sqrt (hypot y.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (/ 1 (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (/ 1 (sqrt (hypot y.re y.im))) 1)
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ (/ 1 1) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (cbrt (hypot y.re y.im)))
  (/ (/ 1 1) (sqrt (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (sqrt (hypot y.re y.im)))
  (/ (/ 1 1) 1)
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))
  (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (cbrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (sqrt (hypot y.re y.im)))
  (/ 1 1)
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (- (* x.im y.re) (* x.re y.im)) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ 1 (hypot y.re y.im)) (cbrt (hypot y.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im)))
  (/ (/ 1 (hypot y.re y.im)) (sqrt (hypot y.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) 1)
  (/ (/ 1 (hypot y.re y.im)) (hypot y.re y.im))
  (/ 1 (hypot y.re y.im))
  (/ (hypot y.re y.im) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (sqrt (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) 1)
  (/ (hypot y.re y.im) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (/ (hypot y.re y.im) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (/ (hypot y.re y.im) (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))))
  (/ (hypot y.re y.im) (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))))
  (/ (hypot y.re y.im) (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im)))
  (/ (hypot y.re y.im) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))))
  (/ (hypot y.re y.im) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im))))
  (/ (hypot y.re y.im) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im)))
  (/ (hypot y.re y.im) (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (hypot y.re y.im) (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im))))
  (/ (hypot y.re y.im) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (/ (hypot y.re y.im) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (/ (hypot y.re y.im) (/ 1 (hypot y.re y.im)))
  (* (hypot y.re y.im) (hypot y.re y.im))
  (* -1 x.re)
  x.im
  (* -1 x.im)
  0
  (- (* y.re x.im) (* y.im x.re))
  (- (* y.re x.im) (* y.im x.re))
  0
  0
  0
7.676 * * [simplify]: Extracting # 0 : cost  0
7.677 * * [simplify]: Extracting # 1 : cost  0
7.677 * * [simplify]: Extracting # 2 : cost  0
7.677 * * [simplify]: Extracting # 3 : cost  0
7.677 * * [simplify]: Extracting # 4 : cost  0
7.678 * * [simplify]: Extracting # 5 : cost  0
7.678 * * [simplify]: Extracting # 6 : cost  0
7.678 * * [simplify]: iteration  0 :  187  enodes  (cost  2814 )
7.725 * * [simplify]: Extracting # 0 : cost  0
7.726 * * [simplify]: Extracting # 1 : cost  0
7.727 * * [simplify]: Extracting # 2 : cost  0
7.727 * * [simplify]: Extracting # 3 : cost  0
7.728 * * [simplify]: iteration  1 :  445  enodes  (cost  2738 )
7.879 * * [simplify]: Extracting # 0 : cost  0
7.882 * * [simplify]: Extracting # 1 : cost  0
7.885 * * [simplify]: Extracting # 2 : cost  0
7.887 * * [simplify]: Extracting # 3 : cost  0
7.890 * * [simplify]: Extracting # 4 : cost  0
7.893 * * [simplify]: iteration  2 :  1244  enodes  (cost  2548 )
8.943 * * [simplify]: Extracting # 0 : cost  0
8.954 * * [simplify]: Extracting # 1 : cost  0
8.959 * * [simplify]: Extracting # 2 : cost  0
8.972 * * [simplify]: Extracting # 3 : cost  0
8.981 * * [simplify]: Extracting # 4 : cost  0
8.990 * * [simplify]: Extracting # 5 : cost  0
8.999 * * [simplify]: iteration  3 :  4472  enodes  (cost  2493 )
10.476 * * [simplify]: Extracting # 0 : cost  0
10.482 * * [simplify]: Extracting # 1 : cost  0
10.488 * * [simplify]: iteration done:  5000  enodes  (cost  2490 )
10.489 * [simplify]: Simplified to:
  (expm1 (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (log1p (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (log (/ (fma x.im y.re (- (* y.im x.re))) (hypot y.re y.im)))
  (log (/ (fma x.im y.re (- (* y.im x.re))) (hypot y.re y.im)))
  (exp (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (pow (/ (fma x.im y.re (- (* y.im x.re))) (hypot y.re y.im)) 3)
  (* (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (pow (/ (fma x.im y.re (- (* y.im x.re))) (hypot y.re y.im)) 3)
  (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (- (- (* x.im y.re) (* x.re y.im)))
  (- (hypot y.re y.im))
  (* (/ y.re (hypot y.re y.im)) x.im)
  (* (/ x.re (hypot y.re y.im)) y.im)
  (* (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im)))
  (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im)))
  (sqrt (- (* y.re x.im) (* y.im x.re)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im)))
  1
  (/ (fma x.im y.re (- (* y.im x.re))) (hypot y.re y.im))
  (/ 1 (hypot y.re y.im))
  (/ (hypot y.re y.im) (- (* x.im y.re) (* x.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im)))
  (- (* y.re x.im) (* y.im x.re))
  (/ (hypot y.re y.im) (cbrt (- (* y.re x.im) (* y.im x.re))))
  (/ (hypot y.re y.im) (sqrt (- (* x.im y.re) (* x.re y.im))))
  (/ (hypot y.re y.im) (- (* x.im y.re) (* x.re y.im)))
  (* (hypot y.re y.im) (fma (* y.re x.im) (* y.re x.im) (* (* y.im x.re) (fma x.im y.re (* x.re y.im)))))
  (* (fma x.im y.re (* x.re y.im)) (hypot y.re y.im))
  (- (* y.re x.im) (* y.im x.re))
  (* 0 (* y.im x.re))
  (expm1 (- (* x.im y.re) (* x.re y.im)))
  (log1p (- (* x.im y.re) (* x.re y.im)))
  (- (* y.im x.re))
  (exp (- (* x.im y.re) (* x.re y.im)))
  (log (- (* x.im y.re) (* x.re y.im)))
  (exp (- (* x.im y.re) (* x.re y.im)))
  (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (cbrt (- (* x.im y.re) (* x.re y.im)))
  (pow (- (* y.re x.im) (* y.im x.re)) 3)
  (sqrt (- (* y.re x.im) (* y.im x.re)))
  (sqrt (- (* y.re x.im) (* y.im x.re)))
  (- (pow (* x.im y.re) 3) (pow (* x.re y.im) 3))
  (fma (* y.re x.im) (* y.re x.im) (* (* y.im x.re) (fma x.im y.re (* x.re y.im))))
  (- (* y.im x.re))
  (* (fma x.im y.re (* x.re y.im)) (- (* y.re x.im) (* y.im x.re)))
  (fma x.im y.re (* x.re y.im))
  (- (* y.im x.re))
  (expm1 (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (log1p (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (fma -2 (log (hypot y.re y.im)) (log (- (* x.im y.re) (* x.re y.im))))
  (fma -2 (log (hypot y.re y.im)) (log (- (* x.im y.re) (* x.re y.im))))
  (fma -2 (log (hypot y.re y.im)) (log (- (* x.im y.re) (* x.re y.im))))
  (exp (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (/ (pow (- (* y.re x.im) (* y.im x.re)) 3) (pow (hypot y.re y.im) 6))
  (/ (pow (- (* y.re x.im) (* y.im x.re)) 3) (pow (hypot y.re y.im) 6))
  (* (cbrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))) (cbrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))))
  (cbrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (/ (pow (- (* y.re x.im) (* y.im x.re)) 3) (pow (hypot y.re y.im) 6))
  (sqrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (sqrt (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im)))
  (- (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (- (hypot y.re y.im))
  (/ (/ (* x.im y.re) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (/ (* x.re y.im) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (* (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (* (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (* (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (/ (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (hypot y.re y.im))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (/ (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (hypot y.re y.im))
  (/ (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (pow (cbrt (hypot y.re y.im)) 3)) (cbrt (hypot y.re y.im)))
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (* (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))))
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (/ (hypot y.re y.im) (cbrt (- (* x.im y.re) (* x.re y.im)))))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (pow (sqrt (hypot y.re y.im)) 3))
  (* (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))))
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (pow (sqrt (hypot y.re y.im)) 3))
  (* (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (/ (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (pow (cbrt (hypot y.re y.im)) 3))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im)))) (sqrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (- (* y.re x.im) (* y.im x.re))) (pow (sqrt (hypot y.re y.im)) 3))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (- (* y.re x.im) (* y.im x.re))) (pow (sqrt (hypot y.re y.im)) 3))
  (sqrt (- (* y.re x.im) (* y.im x.re)))
  (/ (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (/ 1 (pow (cbrt (hypot y.re y.im)) 3)) (cbrt (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (/ 1 (sqrt (hypot y.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ (/ 1 (sqrt (hypot y.re y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ 1 (hypot y.re y.im))
  (/ (fma x.im y.re (- (* y.im x.re))) (hypot y.re y.im))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ (- (* y.re x.im) (* y.im x.re)) (pow (sqrt (hypot y.re y.im)) 3))
  (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ (- (* y.re x.im) (* y.im x.re)) (pow (sqrt (hypot y.re y.im)) 3))
  1
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))
  (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im))) (hypot y.re y.im))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ (- (* y.re x.im) (* y.im x.re)) (pow (sqrt (hypot y.re y.im)) 3))
  1
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (hypot y.re y.im))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im))) (cbrt (hypot y.re y.im)))
  (/ (/ 1 (hypot y.re y.im)) (cbrt (hypot y.re y.im)))
  (/ (- (* x.im y.re) (* x.re y.im)) (sqrt (hypot y.re y.im)))
  (/ 1 (pow (sqrt (hypot y.re y.im)) 3))
  (- (* y.re x.im) (* y.im x.re))
  (/ (/ 1 (hypot y.re y.im)) (hypot y.re y.im))
  (/ 1 (hypot y.re y.im))
  (/ (hypot y.re y.im) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (/ (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (- (* y.re x.im) (* y.im x.re)) (pow (sqrt (hypot y.re y.im)) 3))
  (/ (fma x.im y.re (- (* y.im x.re))) (hypot y.re y.im))
  (/ (hypot y.re y.im) (cbrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (/ (hypot y.re y.im) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))
  (/ (hypot y.re y.im) (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))))
  (/ (pow (sqrt (hypot y.re y.im)) 3) (cbrt (- (* x.im y.re) (* x.re y.im))))
  (/ (hypot y.re y.im) (/ (cbrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im)))
  (/ (hypot y.re y.im) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (cbrt (hypot y.re y.im))))
  (/ (pow (sqrt (hypot y.re y.im)) 3) (sqrt (- (* y.re x.im) (* y.im x.re))))
  (/ (hypot y.re y.im) (/ (sqrt (- (* x.im y.re) (* x.re y.im))) (hypot y.re y.im)))
  (/ (hypot y.re y.im) (/ (- (* x.im y.re) (* x.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (pow (sqrt (hypot y.re y.im)) 3) (- (* y.re x.im) (* y.im x.re)))
  (/ (hypot y.re y.im) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (/ (hypot y.re y.im) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im)))
  (* (hypot y.re y.im) (hypot y.re y.im))
  (* (hypot y.re y.im) (hypot y.re y.im))
  (- x.re)
  x.im
  (- x.im)
  0
  (- (* y.re x.im) (* y.im x.re))
  (- (* y.re x.im) (* y.im x.re))
  0
  0
  0
10.490 * * * [progress]: adding candidates to table
11.011 * * [progress]: iteration 4 / 4
11.011 * * * [progress]: picking best candidate
11.028 * * * * [pick]: Picked  #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im))))>
11.028 * * * [progress]: localizing error
11.043 * * * [progress]: generating rewritten candidates
11.043 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2)
11.075 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 1)
11.105 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2)
11.143 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1)
11.178 * * * [progress]: generating series expansions
11.178 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2)
11.179 * [backup-simplify]: Simplify (* (/ x.re (hypot y.re y.im)) y.im) into (/ (* y.im x.re) (hypot y.re y.im))
11.179 * [approximate]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in (x.re y.re y.im) around 0
11.179 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in y.im
11.179 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
11.179 * [taylor]: Taking taylor expansion of y.im in y.im
11.179 * [backup-simplify]: Simplify 0 into 0
11.179 * [backup-simplify]: Simplify 1 into 1
11.179 * [taylor]: Taking taylor expansion of x.re in y.im
11.179 * [backup-simplify]: Simplify x.re into x.re
11.179 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.im
11.179 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.179 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
11.179 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.im
11.179 * [taylor]: Taking taylor expansion of y.re in y.im
11.179 * [backup-simplify]: Simplify y.re into y.re
11.179 * [taylor]: Taking taylor expansion of y.re in y.im
11.179 * [backup-simplify]: Simplify y.re into y.re
11.179 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.im
11.179 * [taylor]: Taking taylor expansion of y.im in y.im
11.179 * [backup-simplify]: Simplify 0 into 0
11.179 * [backup-simplify]: Simplify 1 into 1
11.179 * [taylor]: Taking taylor expansion of y.im in y.im
11.179 * [backup-simplify]: Simplify 0 into 0
11.179 * [backup-simplify]: Simplify 1 into 1
11.180 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.180 * [backup-simplify]: Simplify (* 0 0) into 0
11.180 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
11.181 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
11.181 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.181 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.182 * [backup-simplify]: Simplify (+ 0 0) into 0
11.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
11.182 * [backup-simplify]: Simplify (* 0 x.re) into 0
11.182 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
11.183 * [backup-simplify]: Simplify (/ x.re y.re) into (/ x.re y.re)
11.183 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in y.re
11.183 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
11.183 * [taylor]: Taking taylor expansion of y.im in y.re
11.183 * [backup-simplify]: Simplify y.im into y.im
11.183 * [taylor]: Taking taylor expansion of x.re in y.re
11.183 * [backup-simplify]: Simplify x.re into x.re
11.183 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
11.183 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.183 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
11.183 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
11.183 * [taylor]: Taking taylor expansion of y.re in y.re
11.183 * [backup-simplify]: Simplify 0 into 0
11.183 * [backup-simplify]: Simplify 1 into 1
11.183 * [taylor]: Taking taylor expansion of y.re in y.re
11.183 * [backup-simplify]: Simplify 0 into 0
11.183 * [backup-simplify]: Simplify 1 into 1
11.183 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
11.183 * [taylor]: Taking taylor expansion of y.im in y.re
11.183 * [backup-simplify]: Simplify y.im into y.im
11.183 * [taylor]: Taking taylor expansion of y.im in y.re
11.183 * [backup-simplify]: Simplify y.im into y.im
11.184 * [backup-simplify]: Simplify (* 0 0) into 0
11.184 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.184 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
11.184 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
11.185 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.185 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.185 * [backup-simplify]: Simplify (+ 0 0) into 0
11.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
11.185 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
11.185 * [backup-simplify]: Simplify (/ (* y.im x.re) y.im) into x.re
11.185 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in x.re
11.186 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
11.186 * [taylor]: Taking taylor expansion of y.im in x.re
11.186 * [backup-simplify]: Simplify y.im into y.im
11.186 * [taylor]: Taking taylor expansion of x.re in x.re
11.186 * [backup-simplify]: Simplify 0 into 0
11.186 * [backup-simplify]: Simplify 1 into 1
11.186 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.re
11.186 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.186 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
11.186 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.re
11.186 * [taylor]: Taking taylor expansion of y.re in x.re
11.186 * [backup-simplify]: Simplify y.re into y.re
11.186 * [taylor]: Taking taylor expansion of y.re in x.re
11.186 * [backup-simplify]: Simplify y.re into y.re
11.186 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.re
11.186 * [taylor]: Taking taylor expansion of y.im in x.re
11.186 * [backup-simplify]: Simplify y.im into y.im
11.186 * [taylor]: Taking taylor expansion of y.im in x.re
11.186 * [backup-simplify]: Simplify y.im into y.im
11.186 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.186 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.186 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
11.187 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
11.187 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.187 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.187 * [backup-simplify]: Simplify (+ 0 0) into 0
11.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
11.188 * [backup-simplify]: Simplify (* y.im 0) into 0
11.188 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
11.189 * [backup-simplify]: Simplify (/ y.im (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.im)
11.189 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in x.re
11.189 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
11.189 * [taylor]: Taking taylor expansion of y.im in x.re
11.189 * [backup-simplify]: Simplify y.im into y.im
11.189 * [taylor]: Taking taylor expansion of x.re in x.re
11.189 * [backup-simplify]: Simplify 0 into 0
11.189 * [backup-simplify]: Simplify 1 into 1
11.189 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.re
11.189 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.189 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
11.189 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.re
11.189 * [taylor]: Taking taylor expansion of y.re in x.re
11.189 * [backup-simplify]: Simplify y.re into y.re
11.189 * [taylor]: Taking taylor expansion of y.re in x.re
11.189 * [backup-simplify]: Simplify y.re into y.re
11.189 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.re
11.189 * [taylor]: Taking taylor expansion of y.im in x.re
11.189 * [backup-simplify]: Simplify y.im into y.im
11.189 * [taylor]: Taking taylor expansion of y.im in x.re
11.189 * [backup-simplify]: Simplify y.im into y.im
11.189 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.189 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.190 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
11.190 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
11.190 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.190 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.190 * [backup-simplify]: Simplify (+ 0 0) into 0
11.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
11.191 * [backup-simplify]: Simplify (* y.im 0) into 0
11.191 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
11.192 * [backup-simplify]: Simplify (/ y.im (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.im)
11.192 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.im) in y.re
11.192 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re
11.192 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re
11.192 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re
11.192 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
11.192 * [taylor]: Taking taylor expansion of y.im in y.re
11.192 * [backup-simplify]: Simplify y.im into y.im
11.192 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
11.192 * [taylor]: Taking taylor expansion of y.re in y.re
11.192 * [backup-simplify]: Simplify 0 into 0
11.192 * [backup-simplify]: Simplify 1 into 1
11.192 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.192 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2)
11.192 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
11.192 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im)
11.193 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.193 * [backup-simplify]: Simplify (+ 0 0) into 0
11.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
11.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0
11.194 * [taylor]: Taking taylor expansion of y.im in y.re
11.194 * [backup-simplify]: Simplify y.im into y.im
11.194 * [backup-simplify]: Simplify (* (/ 1 y.im) y.im) into 1
11.194 * [taylor]: Taking taylor expansion of 1 in y.im
11.194 * [backup-simplify]: Simplify 1 into 1
11.194 * [backup-simplify]: Simplify 0 into 0
11.195 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
11.195 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2)))) (+ (* (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.im) (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))))) into 0
11.195 * [taylor]: Taking taylor expansion of 0 in y.re
11.196 * [backup-simplify]: Simplify 0 into 0
11.196 * [taylor]: Taking taylor expansion of 0 in y.im
11.196 * [backup-simplify]: Simplify 0 into 0
11.196 * [backup-simplify]: Simplify 0 into 0
11.196 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 y.im)) into 0
11.196 * [taylor]: Taking taylor expansion of 0 in y.im
11.196 * [backup-simplify]: Simplify 0 into 0
11.196 * [backup-simplify]: Simplify 0 into 0
11.196 * [backup-simplify]: Simplify 0 into 0
11.197 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.197 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
11.198 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
11.198 * [backup-simplify]: Simplify (+ 0 0) into 0
11.199 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
11.201 * [backup-simplify]: Simplify (- (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2)))) (+ (* (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.im) (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))) (* 0 (/ 0 (sqrt (+ (pow y.re 2) (pow y.im 2))))))) into 0
11.201 * [taylor]: Taking taylor expansion of 0 in y.re
11.201 * [backup-simplify]: Simplify 0 into 0
11.201 * [taylor]: Taking taylor expansion of 0 in y.im
11.201 * [backup-simplify]: Simplify 0 into 0
11.201 * [backup-simplify]: Simplify 0 into 0
11.201 * [taylor]: Taking taylor expansion of 0 in y.im
11.201 * [backup-simplify]: Simplify 0 into 0
11.201 * [backup-simplify]: Simplify 0 into 0
11.201 * [backup-simplify]: Simplify 0 into 0
11.201 * [backup-simplify]: Simplify (* (/ (/ 1 x.re) (hypot (/ 1 y.re) (/ 1 y.im))) (/ 1 y.im)) into (/ 1 (* x.re (* (hypot (/ 1 y.re) (/ 1 y.im)) y.im)))
11.201 * [approximate]: Taking taylor expansion of (/ 1 (* x.re (* (hypot (/ 1 y.re) (/ 1 y.im)) y.im))) in (x.re y.re y.im) around 0
11.201 * [taylor]: Taking taylor expansion of (/ 1 (* x.re (* (hypot (/ 1 y.re) (/ 1 y.im)) y.im))) in y.im
11.201 * [taylor]: Taking taylor expansion of (* x.re (* (hypot (/ 1 y.re) (/ 1 y.im)) y.im)) in y.im
11.201 * [taylor]: Taking taylor expansion of x.re in y.im
11.201 * [backup-simplify]: Simplify x.re into x.re
11.201 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 y.re) (/ 1 y.im)) y.im) in y.im
11.202 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.im
11.202 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.202 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
11.202 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
11.202 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
11.202 * [taylor]: Taking taylor expansion of y.re in y.im
11.202 * [backup-simplify]: Simplify y.re into y.re
11.202 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.202 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
11.202 * [taylor]: Taking taylor expansion of y.re in y.im
11.202 * [backup-simplify]: Simplify y.re into y.re
11.202 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.202 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
11.202 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.202 * [taylor]: Taking taylor expansion of y.im in y.im
11.202 * [backup-simplify]: Simplify 0 into 0
11.202 * [backup-simplify]: Simplify 1 into 1
11.203 * [backup-simplify]: Simplify (/ 1 1) into 1
11.203 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.203 * [taylor]: Taking taylor expansion of y.im in y.im
11.203 * [backup-simplify]: Simplify 0 into 0
11.203 * [backup-simplify]: Simplify 1 into 1
11.203 * [backup-simplify]: Simplify (/ 1 1) into 1
11.204 * [backup-simplify]: Simplify (* 1 1) into 1
11.204 * [backup-simplify]: Simplify (+ 0 1) into 1
11.204 * [backup-simplify]: Simplify (sqrt 1) into 1
11.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.207 * [backup-simplify]: Simplify (+ 0 0) into 0
11.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.208 * [taylor]: Taking taylor expansion of y.im in y.im
11.208 * [backup-simplify]: Simplify 0 into 0
11.208 * [backup-simplify]: Simplify 1 into 1
11.208 * [backup-simplify]: Simplify (* 1 0) into 0
11.208 * [backup-simplify]: Simplify (* x.re 0) into 0
11.209 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1
11.209 * [backup-simplify]: Simplify (+ (* x.re 1) (* 0 0)) into x.re
11.209 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
11.209 * [taylor]: Taking taylor expansion of (/ 1 (* x.re (* (hypot (/ 1 y.re) (/ 1 y.im)) y.im))) in y.re
11.209 * [taylor]: Taking taylor expansion of (* x.re (* (hypot (/ 1 y.re) (/ 1 y.im)) y.im)) in y.re
11.209 * [taylor]: Taking taylor expansion of x.re in y.re
11.209 * [backup-simplify]: Simplify x.re into x.re
11.209 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 y.re) (/ 1 y.im)) y.im) in y.re
11.209 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
11.210 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.210 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
11.210 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
11.210 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.210 * [taylor]: Taking taylor expansion of y.re in y.re
11.210 * [backup-simplify]: Simplify 0 into 0
11.210 * [backup-simplify]: Simplify 1 into 1
11.210 * [backup-simplify]: Simplify (/ 1 1) into 1
11.210 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.210 * [taylor]: Taking taylor expansion of y.re in y.re
11.210 * [backup-simplify]: Simplify 0 into 0
11.210 * [backup-simplify]: Simplify 1 into 1
11.211 * [backup-simplify]: Simplify (/ 1 1) into 1
11.211 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
11.211 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.211 * [taylor]: Taking taylor expansion of y.im in y.re
11.211 * [backup-simplify]: Simplify y.im into y.im
11.211 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.211 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.211 * [taylor]: Taking taylor expansion of y.im in y.re
11.211 * [backup-simplify]: Simplify y.im into y.im
11.211 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.211 * [backup-simplify]: Simplify (* 1 1) into 1
11.212 * [backup-simplify]: Simplify (+ 1 0) into 1
11.212 * [backup-simplify]: Simplify (sqrt 1) into 1
11.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.214 * [backup-simplify]: Simplify (+ 0 0) into 0
11.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.215 * [taylor]: Taking taylor expansion of y.im in y.re
11.215 * [backup-simplify]: Simplify y.im into y.im
11.215 * [backup-simplify]: Simplify (* 1 y.im) into y.im
11.215 * [backup-simplify]: Simplify (* x.re y.im) into (* y.im x.re)
11.215 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
11.215 * [taylor]: Taking taylor expansion of (/ 1 (* x.re (* (hypot (/ 1 y.re) (/ 1 y.im)) y.im))) in x.re
11.215 * [taylor]: Taking taylor expansion of (* x.re (* (hypot (/ 1 y.re) (/ 1 y.im)) y.im)) in x.re
11.215 * [taylor]: Taking taylor expansion of x.re in x.re
11.215 * [backup-simplify]: Simplify 0 into 0
11.215 * [backup-simplify]: Simplify 1 into 1
11.215 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 y.re) (/ 1 y.im)) y.im) in x.re
11.215 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.re
11.216 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.216 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
11.216 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
11.216 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
11.216 * [taylor]: Taking taylor expansion of y.re in x.re
11.216 * [backup-simplify]: Simplify y.re into y.re
11.216 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.216 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
11.216 * [taylor]: Taking taylor expansion of y.re in x.re
11.216 * [backup-simplify]: Simplify y.re into y.re
11.216 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.216 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
11.216 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
11.216 * [taylor]: Taking taylor expansion of y.im in x.re
11.216 * [backup-simplify]: Simplify y.im into y.im
11.216 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.216 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
11.216 * [taylor]: Taking taylor expansion of y.im in x.re
11.216 * [backup-simplify]: Simplify y.im into y.im
11.216 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.216 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
11.216 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.217 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.217 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.217 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
11.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.218 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.218 * [backup-simplify]: Simplify (+ 0 0) into 0
11.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.219 * [taylor]: Taking taylor expansion of y.im in x.re
11.219 * [backup-simplify]: Simplify y.im into y.im
11.219 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im)
11.219 * [backup-simplify]: Simplify (* 0 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im)) into 0
11.220 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0) (* 0 y.im)) into 0
11.221 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im))) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im)
11.221 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im)) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.im))
11.221 * [taylor]: Taking taylor expansion of (/ 1 (* x.re (* (hypot (/ 1 y.re) (/ 1 y.im)) y.im))) in x.re
11.221 * [taylor]: Taking taylor expansion of (* x.re (* (hypot (/ 1 y.re) (/ 1 y.im)) y.im)) in x.re
11.221 * [taylor]: Taking taylor expansion of x.re in x.re
11.221 * [backup-simplify]: Simplify 0 into 0
11.221 * [backup-simplify]: Simplify 1 into 1
11.221 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 y.re) (/ 1 y.im)) y.im) in x.re
11.221 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.re
11.221 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.221 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
11.221 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
11.221 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
11.221 * [taylor]: Taking taylor expansion of y.re in x.re
11.221 * [backup-simplify]: Simplify y.re into y.re
11.221 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.222 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
11.222 * [taylor]: Taking taylor expansion of y.re in x.re
11.222 * [backup-simplify]: Simplify y.re into y.re
11.222 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.222 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
11.222 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
11.222 * [taylor]: Taking taylor expansion of y.im in x.re
11.222 * [backup-simplify]: Simplify y.im into y.im
11.222 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.222 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
11.222 * [taylor]: Taking taylor expansion of y.im in x.re
11.222 * [backup-simplify]: Simplify y.im into y.im
11.222 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.222 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
11.222 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.222 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.223 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.223 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
11.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.223 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.224 * [backup-simplify]: Simplify (+ 0 0) into 0
11.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.224 * [taylor]: Taking taylor expansion of y.im in x.re
11.224 * [backup-simplify]: Simplify y.im into y.im
11.225 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im)
11.225 * [backup-simplify]: Simplify (* 0 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im)) into 0
11.225 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0) (* 0 y.im)) into 0
11.226 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im))) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im)
11.226 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im)) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.im))
11.226 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.im)) in y.re
11.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re
11.226 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re
11.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
11.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
11.226 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
11.226 * [taylor]: Taking taylor expansion of y.im in y.re
11.226 * [backup-simplify]: Simplify y.im into y.im
11.227 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.227 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
11.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
11.227 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
11.227 * [taylor]: Taking taylor expansion of y.re in y.re
11.227 * [backup-simplify]: Simplify 0 into 0
11.227 * [backup-simplify]: Simplify 1 into 1
11.227 * [backup-simplify]: Simplify (* 1 1) into 1
11.227 * [backup-simplify]: Simplify (/ 1 1) into 1
11.228 * [backup-simplify]: Simplify (+ 0 1) into 1
11.228 * [backup-simplify]: Simplify (/ 1 1) into 1
11.228 * [backup-simplify]: Simplify (sqrt 1) into 1
11.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.229 * [backup-simplify]: Simplify (+ 0 0) into 0
11.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.230 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.230 * [taylor]: Taking taylor expansion of y.im in y.re
11.230 * [backup-simplify]: Simplify y.im into y.im
11.230 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.230 * [backup-simplify]: Simplify (* 1 (/ 1 y.im)) into (/ 1 y.im)
11.230 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.230 * [taylor]: Taking taylor expansion of y.im in y.im
11.230 * [backup-simplify]: Simplify 0 into 0
11.230 * [backup-simplify]: Simplify 1 into 1
11.231 * [backup-simplify]: Simplify (/ 1 1) into 1
11.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.231 * [backup-simplify]: Simplify 0 into 0
11.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
11.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
11.232 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (* 0 (/ 1 y.re)))) into 0
11.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.232 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
11.233 * [backup-simplify]: Simplify (+ 0 0) into 0
11.233 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.234 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0) (+ (* 0 0) (* 0 y.im))) into 0
11.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im)))) into 0
11.235 * [backup-simplify]: Simplify (- (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.im)) (/ 0 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im))))) into 0
11.235 * [taylor]: Taking taylor expansion of 0 in y.re
11.235 * [backup-simplify]: Simplify 0 into 0
11.235 * [taylor]: Taking taylor expansion of 0 in y.im
11.235 * [backup-simplify]: Simplify 0 into 0
11.235 * [backup-simplify]: Simplify 0 into 0
11.235 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (/ 1 y.im))) into 0
11.236 * [taylor]: Taking taylor expansion of 0 in y.im
11.236 * [backup-simplify]: Simplify 0 into 0
11.236 * [backup-simplify]: Simplify 0 into 0
11.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.236 * [backup-simplify]: Simplify 0 into 0
11.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
11.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
11.237 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.re))))) into 0
11.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.238 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.im))))) into 0
11.238 * [backup-simplify]: Simplify (+ 0 0) into 0
11.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.239 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
11.240 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im))))) into 0
11.241 * [backup-simplify]: Simplify (- (+ (* (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.im)) (/ 0 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im))) (* 0 (/ 0 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im))))) into 0
11.241 * [taylor]: Taking taylor expansion of 0 in y.re
11.241 * [backup-simplify]: Simplify 0 into 0
11.241 * [taylor]: Taking taylor expansion of 0 in y.im
11.241 * [backup-simplify]: Simplify 0 into 0
11.241 * [backup-simplify]: Simplify 0 into 0
11.241 * [taylor]: Taking taylor expansion of 0 in y.im
11.241 * [backup-simplify]: Simplify 0 into 0
11.241 * [backup-simplify]: Simplify 0 into 0
11.241 * [backup-simplify]: Simplify 0 into 0
11.242 * [backup-simplify]: Simplify (* (/ (/ 1 (- x.re)) (hypot (/ 1 (- y.re)) (/ 1 (- y.im)))) (/ 1 (- y.im))) into (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))
11.242 * [approximate]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in (x.re y.re y.im) around 0
11.242 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in y.im
11.242 * [taylor]: Taking taylor expansion of (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))) in y.im
11.242 * [taylor]: Taking taylor expansion of y.im in y.im
11.242 * [backup-simplify]: Simplify 0 into 0
11.242 * [backup-simplify]: Simplify 1 into 1
11.242 * [taylor]: Taking taylor expansion of (* x.re (hypot (/ -1 y.re) (/ -1 y.im))) in y.im
11.242 * [taylor]: Taking taylor expansion of x.re in y.im
11.242 * [backup-simplify]: Simplify x.re into x.re
11.242 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.im
11.242 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.242 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.im
11.242 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.im
11.242 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
11.242 * [taylor]: Taking taylor expansion of -1 in y.im
11.242 * [backup-simplify]: Simplify -1 into -1
11.242 * [taylor]: Taking taylor expansion of y.re in y.im
11.242 * [backup-simplify]: Simplify y.re into y.re
11.242 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.242 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
11.242 * [taylor]: Taking taylor expansion of -1 in y.im
11.242 * [backup-simplify]: Simplify -1 into -1
11.242 * [taylor]: Taking taylor expansion of y.re in y.im
11.242 * [backup-simplify]: Simplify y.re into y.re
11.242 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.242 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.im
11.242 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
11.242 * [taylor]: Taking taylor expansion of -1 in y.im
11.242 * [backup-simplify]: Simplify -1 into -1
11.242 * [taylor]: Taking taylor expansion of y.im in y.im
11.242 * [backup-simplify]: Simplify 0 into 0
11.242 * [backup-simplify]: Simplify 1 into 1
11.243 * [backup-simplify]: Simplify (/ -1 1) into -1
11.243 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
11.243 * [taylor]: Taking taylor expansion of -1 in y.im
11.243 * [backup-simplify]: Simplify -1 into -1
11.243 * [taylor]: Taking taylor expansion of y.im in y.im
11.243 * [backup-simplify]: Simplify 0 into 0
11.243 * [backup-simplify]: Simplify 1 into 1
11.243 * [backup-simplify]: Simplify (/ -1 1) into -1
11.243 * [backup-simplify]: Simplify (* -1 -1) into 1
11.243 * [backup-simplify]: Simplify (+ 0 1) into 1
11.244 * [backup-simplify]: Simplify (sqrt 1) into 1
11.244 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.245 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.245 * [backup-simplify]: Simplify (+ 0 0) into 0
11.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.246 * [backup-simplify]: Simplify (* x.re 1) into x.re
11.246 * [backup-simplify]: Simplify (* 0 x.re) into 0
11.247 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 1)) into 0
11.247 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
11.247 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
11.247 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in y.re
11.247 * [taylor]: Taking taylor expansion of (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))) in y.re
11.247 * [taylor]: Taking taylor expansion of y.im in y.re
11.247 * [backup-simplify]: Simplify y.im into y.im
11.247 * [taylor]: Taking taylor expansion of (* x.re (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
11.247 * [taylor]: Taking taylor expansion of x.re in y.re
11.247 * [backup-simplify]: Simplify x.re into x.re
11.247 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
11.247 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.247 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
11.247 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
11.247 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.247 * [taylor]: Taking taylor expansion of -1 in y.re
11.247 * [backup-simplify]: Simplify -1 into -1
11.247 * [taylor]: Taking taylor expansion of y.re in y.re
11.247 * [backup-simplify]: Simplify 0 into 0
11.247 * [backup-simplify]: Simplify 1 into 1
11.248 * [backup-simplify]: Simplify (/ -1 1) into -1
11.248 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.248 * [taylor]: Taking taylor expansion of -1 in y.re
11.248 * [backup-simplify]: Simplify -1 into -1
11.248 * [taylor]: Taking taylor expansion of y.re in y.re
11.248 * [backup-simplify]: Simplify 0 into 0
11.248 * [backup-simplify]: Simplify 1 into 1
11.248 * [backup-simplify]: Simplify (/ -1 1) into -1
11.248 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
11.248 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.248 * [taylor]: Taking taylor expansion of -1 in y.re
11.248 * [backup-simplify]: Simplify -1 into -1
11.248 * [taylor]: Taking taylor expansion of y.im in y.re
11.248 * [backup-simplify]: Simplify y.im into y.im
11.248 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.248 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.248 * [taylor]: Taking taylor expansion of -1 in y.re
11.248 * [backup-simplify]: Simplify -1 into -1
11.248 * [taylor]: Taking taylor expansion of y.im in y.re
11.248 * [backup-simplify]: Simplify y.im into y.im
11.248 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.249 * [backup-simplify]: Simplify (* -1 -1) into 1
11.249 * [backup-simplify]: Simplify (+ 1 0) into 1
11.249 * [backup-simplify]: Simplify (sqrt 1) into 1
11.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.250 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.250 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.251 * [backup-simplify]: Simplify (+ 0 0) into 0
11.251 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.251 * [backup-simplify]: Simplify (* x.re 1) into x.re
11.251 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
11.251 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
11.251 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in x.re
11.251 * [taylor]: Taking taylor expansion of (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))) in x.re
11.251 * [taylor]: Taking taylor expansion of y.im in x.re
11.251 * [backup-simplify]: Simplify y.im into y.im
11.251 * [taylor]: Taking taylor expansion of (* x.re (hypot (/ -1 y.re) (/ -1 y.im))) in x.re
11.251 * [taylor]: Taking taylor expansion of x.re in x.re
11.251 * [backup-simplify]: Simplify 0 into 0
11.251 * [backup-simplify]: Simplify 1 into 1
11.251 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.re
11.252 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.252 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.re
11.252 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.re
11.252 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
11.252 * [taylor]: Taking taylor expansion of -1 in x.re
11.252 * [backup-simplify]: Simplify -1 into -1
11.252 * [taylor]: Taking taylor expansion of y.re in x.re
11.252 * [backup-simplify]: Simplify y.re into y.re
11.252 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.252 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
11.252 * [taylor]: Taking taylor expansion of -1 in x.re
11.252 * [backup-simplify]: Simplify -1 into -1
11.252 * [taylor]: Taking taylor expansion of y.re in x.re
11.252 * [backup-simplify]: Simplify y.re into y.re
11.252 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.252 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.re
11.252 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
11.252 * [taylor]: Taking taylor expansion of -1 in x.re
11.252 * [backup-simplify]: Simplify -1 into -1
11.252 * [taylor]: Taking taylor expansion of y.im in x.re
11.252 * [backup-simplify]: Simplify y.im into y.im
11.252 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.252 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
11.252 * [taylor]: Taking taylor expansion of -1 in x.re
11.252 * [backup-simplify]: Simplify -1 into -1
11.252 * [taylor]: Taking taylor expansion of y.im in x.re
11.252 * [backup-simplify]: Simplify y.im into y.im
11.252 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.252 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
11.252 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.252 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.253 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.253 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.253 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.253 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
11.253 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.253 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.253 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.253 * [backup-simplify]: Simplify (+ 0 0) into 0
11.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.254 * [backup-simplify]: Simplify (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into 0
11.254 * [backup-simplify]: Simplify (* y.im 0) into 0
11.255 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.256 * [backup-simplify]: Simplify (+ (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 0)) into (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))
11.256 * [backup-simplify]: Simplify (/ 1 (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))
11.256 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in x.re
11.256 * [taylor]: Taking taylor expansion of (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))) in x.re
11.256 * [taylor]: Taking taylor expansion of y.im in x.re
11.256 * [backup-simplify]: Simplify y.im into y.im
11.256 * [taylor]: Taking taylor expansion of (* x.re (hypot (/ -1 y.re) (/ -1 y.im))) in x.re
11.256 * [taylor]: Taking taylor expansion of x.re in x.re
11.256 * [backup-simplify]: Simplify 0 into 0
11.257 * [backup-simplify]: Simplify 1 into 1
11.257 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.re
11.257 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.257 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.re
11.257 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.re
11.257 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
11.257 * [taylor]: Taking taylor expansion of -1 in x.re
11.257 * [backup-simplify]: Simplify -1 into -1
11.257 * [taylor]: Taking taylor expansion of y.re in x.re
11.257 * [backup-simplify]: Simplify y.re into y.re
11.257 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.257 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
11.257 * [taylor]: Taking taylor expansion of -1 in x.re
11.257 * [backup-simplify]: Simplify -1 into -1
11.257 * [taylor]: Taking taylor expansion of y.re in x.re
11.257 * [backup-simplify]: Simplify y.re into y.re
11.257 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.257 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.re
11.257 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
11.257 * [taylor]: Taking taylor expansion of -1 in x.re
11.257 * [backup-simplify]: Simplify -1 into -1
11.257 * [taylor]: Taking taylor expansion of y.im in x.re
11.257 * [backup-simplify]: Simplify y.im into y.im
11.257 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.257 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
11.257 * [taylor]: Taking taylor expansion of -1 in x.re
11.257 * [backup-simplify]: Simplify -1 into -1
11.258 * [taylor]: Taking taylor expansion of y.im in x.re
11.258 * [backup-simplify]: Simplify y.im into y.im
11.258 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.258 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
11.258 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.258 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.259 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.259 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.259 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.259 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
11.260 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.260 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.261 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.261 * [backup-simplify]: Simplify (+ 0 0) into 0
11.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.263 * [backup-simplify]: Simplify (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into 0
11.263 * [backup-simplify]: Simplify (* y.im 0) into 0
11.263 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.264 * [backup-simplify]: Simplify (+ (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 0)) into (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))
11.265 * [backup-simplify]: Simplify (/ 1 (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))
11.265 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re
11.265 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.265 * [taylor]: Taking taylor expansion of y.im in y.re
11.265 * [backup-simplify]: Simplify y.im into y.im
11.265 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.265 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re
11.265 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re
11.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re
11.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
11.265 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
11.265 * [taylor]: Taking taylor expansion of y.im in y.re
11.265 * [backup-simplify]: Simplify y.im into y.im
11.265 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.266 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
11.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
11.266 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
11.266 * [taylor]: Taking taylor expansion of y.re in y.re
11.266 * [backup-simplify]: Simplify 0 into 0
11.266 * [backup-simplify]: Simplify 1 into 1
11.266 * [backup-simplify]: Simplify (* 1 1) into 1
11.267 * [backup-simplify]: Simplify (/ 1 1) into 1
11.267 * [backup-simplify]: Simplify (+ 0 1) into 1
11.267 * [backup-simplify]: Simplify (/ 1 1) into 1
11.268 * [backup-simplify]: Simplify (sqrt 1) into 1
11.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.269 * [backup-simplify]: Simplify (+ 0 0) into 0
11.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.271 * [backup-simplify]: Simplify (* (/ 1 y.im) 1) into (/ 1 y.im)
11.271 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.271 * [taylor]: Taking taylor expansion of y.im in y.im
11.271 * [backup-simplify]: Simplify 0 into 0
11.271 * [backup-simplify]: Simplify 1 into 1
11.271 * [backup-simplify]: Simplify (/ 1 1) into 1
11.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.272 * [backup-simplify]: Simplify 0 into 0
11.272 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
11.273 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
11.273 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (* 0 (/ -1 y.re)))) into 0
11.273 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.273 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.274 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
11.274 * [backup-simplify]: Simplify (+ 0 0) into 0
11.275 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.276 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0
11.277 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 0))) into 0
11.278 * [backup-simplify]: Simplify (- (+ (* (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (/ 0 (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))))) into 0
11.278 * [taylor]: Taking taylor expansion of 0 in y.re
11.278 * [backup-simplify]: Simplify 0 into 0
11.278 * [taylor]: Taking taylor expansion of 0 in y.im
11.278 * [backup-simplify]: Simplify 0 into 0
11.278 * [backup-simplify]: Simplify 0 into 0
11.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.279 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 1)) into 0
11.279 * [taylor]: Taking taylor expansion of 0 in y.im
11.279 * [backup-simplify]: Simplify 0 into 0
11.279 * [backup-simplify]: Simplify 0 into 0
11.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.280 * [backup-simplify]: Simplify 0 into 0
11.280 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
11.280 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
11.281 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.re))))) into 0
11.281 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.282 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.282 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.im))))) into 0
11.282 * [backup-simplify]: Simplify (+ 0 0) into 0
11.283 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.284 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0
11.285 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 0)))) into 0
11.285 * [backup-simplify]: Simplify (- (+ (* (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (/ 0 (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (* 0 (/ 0 (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))))) into 0
11.285 * [taylor]: Taking taylor expansion of 0 in y.re
11.285 * [backup-simplify]: Simplify 0 into 0
11.285 * [taylor]: Taking taylor expansion of 0 in y.im
11.285 * [backup-simplify]: Simplify 0 into 0
11.285 * [backup-simplify]: Simplify 0 into 0
11.286 * [taylor]: Taking taylor expansion of 0 in y.im
11.286 * [backup-simplify]: Simplify 0 into 0
11.286 * [backup-simplify]: Simplify 0 into 0
11.286 * [backup-simplify]: Simplify 0 into 0
11.286 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 1)
11.286 * [backup-simplify]: Simplify (* (/ y.re (hypot y.re y.im)) x.im) into (/ (* x.im y.re) (hypot y.re y.im))
11.286 * [approximate]: Taking taylor expansion of (/ (* x.im y.re) (hypot y.re y.im)) in (y.re y.im x.im) around 0
11.286 * [taylor]: Taking taylor expansion of (/ (* x.im y.re) (hypot y.re y.im)) in x.im
11.286 * [taylor]: Taking taylor expansion of (* x.im y.re) in x.im
11.286 * [taylor]: Taking taylor expansion of x.im in x.im
11.286 * [backup-simplify]: Simplify 0 into 0
11.286 * [backup-simplify]: Simplify 1 into 1
11.286 * [taylor]: Taking taylor expansion of y.re in x.im
11.286 * [backup-simplify]: Simplify y.re into y.re
11.286 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.im
11.286 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.286 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
11.286 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
11.286 * [taylor]: Taking taylor expansion of y.re in x.im
11.286 * [backup-simplify]: Simplify y.re into y.re
11.286 * [taylor]: Taking taylor expansion of y.re in x.im
11.286 * [backup-simplify]: Simplify y.re into y.re
11.286 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.im
11.286 * [taylor]: Taking taylor expansion of y.im in x.im
11.286 * [backup-simplify]: Simplify y.im into y.im
11.286 * [taylor]: Taking taylor expansion of y.im in x.im
11.286 * [backup-simplify]: Simplify y.im into y.im
11.286 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.286 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.286 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
11.287 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
11.287 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.287 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.287 * [backup-simplify]: Simplify (+ 0 0) into 0
11.287 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
11.287 * [backup-simplify]: Simplify (* 0 y.re) into 0
11.287 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y.re)) into y.re
11.288 * [backup-simplify]: Simplify (/ y.re (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re)
11.288 * [taylor]: Taking taylor expansion of (/ (* x.im y.re) (hypot y.re y.im)) in y.im
11.288 * [taylor]: Taking taylor expansion of (* x.im y.re) in y.im
11.288 * [taylor]: Taking taylor expansion of x.im in y.im
11.288 * [backup-simplify]: Simplify x.im into x.im
11.288 * [taylor]: Taking taylor expansion of y.re in y.im
11.288 * [backup-simplify]: Simplify y.re into y.re
11.288 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.im
11.288 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.288 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
11.288 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.im
11.288 * [taylor]: Taking taylor expansion of y.re in y.im
11.288 * [backup-simplify]: Simplify y.re into y.re
11.288 * [taylor]: Taking taylor expansion of y.re in y.im
11.288 * [backup-simplify]: Simplify y.re into y.re
11.288 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.im
11.288 * [taylor]: Taking taylor expansion of y.im in y.im
11.288 * [backup-simplify]: Simplify 0 into 0
11.288 * [backup-simplify]: Simplify 1 into 1
11.288 * [taylor]: Taking taylor expansion of y.im in y.im
11.288 * [backup-simplify]: Simplify 0 into 0
11.288 * [backup-simplify]: Simplify 1 into 1
11.288 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.288 * [backup-simplify]: Simplify (* 0 0) into 0
11.288 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
11.288 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
11.289 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.289 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.289 * [backup-simplify]: Simplify (+ 0 0) into 0
11.289 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
11.289 * [backup-simplify]: Simplify (* x.im y.re) into (* y.re x.im)
11.289 * [backup-simplify]: Simplify (/ (* y.re x.im) y.re) into x.im
11.289 * [taylor]: Taking taylor expansion of (/ (* x.im y.re) (hypot y.re y.im)) in y.re
11.289 * [taylor]: Taking taylor expansion of (* x.im y.re) in y.re
11.289 * [taylor]: Taking taylor expansion of x.im in y.re
11.289 * [backup-simplify]: Simplify x.im into x.im
11.289 * [taylor]: Taking taylor expansion of y.re in y.re
11.289 * [backup-simplify]: Simplify 0 into 0
11.289 * [backup-simplify]: Simplify 1 into 1
11.290 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
11.290 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.290 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
11.290 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
11.290 * [taylor]: Taking taylor expansion of y.re in y.re
11.290 * [backup-simplify]: Simplify 0 into 0
11.290 * [backup-simplify]: Simplify 1 into 1
11.290 * [taylor]: Taking taylor expansion of y.re in y.re
11.290 * [backup-simplify]: Simplify 0 into 0
11.290 * [backup-simplify]: Simplify 1 into 1
11.290 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
11.290 * [taylor]: Taking taylor expansion of y.im in y.re
11.290 * [backup-simplify]: Simplify y.im into y.im
11.290 * [taylor]: Taking taylor expansion of y.im in y.re
11.290 * [backup-simplify]: Simplify y.im into y.im
11.290 * [backup-simplify]: Simplify (* 0 0) into 0
11.290 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.290 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
11.290 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
11.291 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.291 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.291 * [backup-simplify]: Simplify (+ 0 0) into 0
11.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
11.291 * [backup-simplify]: Simplify (* x.im 0) into 0
11.291 * [backup-simplify]: Simplify (+ (* x.im 1) (* 0 0)) into x.im
11.291 * [backup-simplify]: Simplify (/ x.im y.im) into (/ x.im y.im)
11.291 * [taylor]: Taking taylor expansion of (/ (* x.im y.re) (hypot y.re y.im)) in y.re
11.291 * [taylor]: Taking taylor expansion of (* x.im y.re) in y.re
11.291 * [taylor]: Taking taylor expansion of x.im in y.re
11.291 * [backup-simplify]: Simplify x.im into x.im
11.291 * [taylor]: Taking taylor expansion of y.re in y.re
11.292 * [backup-simplify]: Simplify 0 into 0
11.292 * [backup-simplify]: Simplify 1 into 1
11.292 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
11.292 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.292 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
11.292 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
11.292 * [taylor]: Taking taylor expansion of y.re in y.re
11.292 * [backup-simplify]: Simplify 0 into 0
11.292 * [backup-simplify]: Simplify 1 into 1
11.292 * [taylor]: Taking taylor expansion of y.re in y.re
11.292 * [backup-simplify]: Simplify 0 into 0
11.292 * [backup-simplify]: Simplify 1 into 1
11.292 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
11.292 * [taylor]: Taking taylor expansion of y.im in y.re
11.292 * [backup-simplify]: Simplify y.im into y.im
11.292 * [taylor]: Taking taylor expansion of y.im in y.re
11.292 * [backup-simplify]: Simplify y.im into y.im
11.292 * [backup-simplify]: Simplify (* 0 0) into 0
11.292 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.292 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
11.292 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
11.293 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.293 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.293 * [backup-simplify]: Simplify (+ 0 0) into 0
11.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
11.293 * [backup-simplify]: Simplify (* x.im 0) into 0
11.293 * [backup-simplify]: Simplify (+ (* x.im 1) (* 0 0)) into x.im
11.293 * [backup-simplify]: Simplify (/ x.im y.im) into (/ x.im y.im)
11.293 * [taylor]: Taking taylor expansion of (/ x.im y.im) in y.im
11.293 * [taylor]: Taking taylor expansion of x.im in y.im
11.294 * [backup-simplify]: Simplify x.im into x.im
11.294 * [taylor]: Taking taylor expansion of y.im in y.im
11.294 * [backup-simplify]: Simplify 0 into 0
11.294 * [backup-simplify]: Simplify 1 into 1
11.294 * [backup-simplify]: Simplify (/ x.im 1) into x.im
11.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)))) into 0
11.294 * [taylor]: Taking taylor expansion of 0 in x.im
11.294 * [backup-simplify]: Simplify 0 into 0
11.294 * [backup-simplify]: Simplify 0 into 0
11.297 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 1) (* 0 0))) into 0
11.298 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ x.im y.im) (/ 0 y.im)))) into 0
11.298 * [taylor]: Taking taylor expansion of 0 in y.im
11.298 * [backup-simplify]: Simplify 0 into 0
11.298 * [taylor]: Taking taylor expansion of 0 in x.im
11.298 * [backup-simplify]: Simplify 0 into 0
11.298 * [backup-simplify]: Simplify 0 into 0
11.299 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.299 * [taylor]: Taking taylor expansion of 0 in x.im
11.299 * [backup-simplify]: Simplify 0 into 0
11.299 * [backup-simplify]: Simplify 0 into 0
11.299 * [backup-simplify]: Simplify 0 into 0
11.299 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
11.300 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.300 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
11.300 * [backup-simplify]: Simplify (+ 1 0) into 1
11.301 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
11.301 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ x.im y.im) (/ (/ 1/2 y.im) y.im)) (* 0 (/ 0 y.im)))) into (- (* 1/2 (/ x.im (pow y.im 3))))
11.301 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x.im (pow y.im 3)))) in y.im
11.301 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.im (pow y.im 3))) in y.im
11.301 * [taylor]: Taking taylor expansion of 1/2 in y.im
11.301 * [backup-simplify]: Simplify 1/2 into 1/2
11.301 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 3)) in y.im
11.301 * [taylor]: Taking taylor expansion of x.im in y.im
11.301 * [backup-simplify]: Simplify x.im into x.im
11.301 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im
11.301 * [taylor]: Taking taylor expansion of y.im in y.im
11.301 * [backup-simplify]: Simplify 0 into 0
11.301 * [backup-simplify]: Simplify 1 into 1
11.302 * [backup-simplify]: Simplify (* 1 1) into 1
11.302 * [backup-simplify]: Simplify (* 1 1) into 1
11.302 * [backup-simplify]: Simplify (/ x.im 1) into x.im
11.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.303 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.305 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)))) into 0
11.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.308 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
11.308 * [backup-simplify]: Simplify (- 0) into 0
11.308 * [taylor]: Taking taylor expansion of 0 in x.im
11.308 * [backup-simplify]: Simplify 0 into 0
11.308 * [backup-simplify]: Simplify 0 into 0
11.308 * [taylor]: Taking taylor expansion of 0 in x.im
11.308 * [backup-simplify]: Simplify 0 into 0
11.308 * [backup-simplify]: Simplify 0 into 0
11.308 * [backup-simplify]: Simplify 0 into 0
11.308 * [backup-simplify]: Simplify (* (/ (/ 1 y.re) (hypot (/ 1 y.re) (/ 1 y.im))) (/ 1 x.im)) into (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))))
11.308 * [approximate]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in (y.re y.im x.im) around 0
11.308 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in x.im
11.308 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))) in x.im
11.308 * [taylor]: Taking taylor expansion of y.re in x.im
11.308 * [backup-simplify]: Simplify y.re into y.re
11.308 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ 1 y.re) (/ 1 y.im))) in x.im
11.309 * [taylor]: Taking taylor expansion of x.im in x.im
11.309 * [backup-simplify]: Simplify 0 into 0
11.309 * [backup-simplify]: Simplify 1 into 1
11.309 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.im
11.309 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.309 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
11.309 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
11.309 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
11.309 * [taylor]: Taking taylor expansion of y.re in x.im
11.309 * [backup-simplify]: Simplify y.re into y.re
11.309 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.309 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
11.309 * [taylor]: Taking taylor expansion of y.re in x.im
11.309 * [backup-simplify]: Simplify y.re into y.re
11.309 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.309 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
11.309 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
11.309 * [taylor]: Taking taylor expansion of y.im in x.im
11.309 * [backup-simplify]: Simplify y.im into y.im
11.309 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.309 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
11.309 * [taylor]: Taking taylor expansion of y.im in x.im
11.309 * [backup-simplify]: Simplify y.im into y.im
11.309 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.309 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
11.309 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.309 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.310 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.310 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
11.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.310 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.311 * [backup-simplify]: Simplify (+ 0 0) into 0
11.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.311 * [backup-simplify]: Simplify (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into 0
11.311 * [backup-simplify]: Simplify (* y.re 0) into 0
11.312 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.312 * [backup-simplify]: Simplify (+ (* y.re (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 0)) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.re)
11.312 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.re)) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
11.312 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in y.im
11.312 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))) in y.im
11.313 * [taylor]: Taking taylor expansion of y.re in y.im
11.313 * [backup-simplify]: Simplify y.re into y.re
11.313 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ 1 y.re) (/ 1 y.im))) in y.im
11.313 * [taylor]: Taking taylor expansion of x.im in y.im
11.313 * [backup-simplify]: Simplify x.im into x.im
11.313 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.im
11.313 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.313 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
11.313 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
11.313 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
11.313 * [taylor]: Taking taylor expansion of y.re in y.im
11.313 * [backup-simplify]: Simplify y.re into y.re
11.313 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.313 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
11.313 * [taylor]: Taking taylor expansion of y.re in y.im
11.313 * [backup-simplify]: Simplify y.re into y.re
11.313 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.313 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
11.313 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.313 * [taylor]: Taking taylor expansion of y.im in y.im
11.313 * [backup-simplify]: Simplify 0 into 0
11.313 * [backup-simplify]: Simplify 1 into 1
11.313 * [backup-simplify]: Simplify (/ 1 1) into 1
11.313 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.313 * [taylor]: Taking taylor expansion of y.im in y.im
11.313 * [backup-simplify]: Simplify 0 into 0
11.313 * [backup-simplify]: Simplify 1 into 1
11.314 * [backup-simplify]: Simplify (/ 1 1) into 1
11.314 * [backup-simplify]: Simplify (* 1 1) into 1
11.314 * [backup-simplify]: Simplify (+ 0 1) into 1
11.314 * [backup-simplify]: Simplify (sqrt 1) into 1
11.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.316 * [backup-simplify]: Simplify (+ 0 0) into 0
11.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.316 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.316 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
11.316 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
11.316 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in y.re
11.316 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))) in y.re
11.316 * [taylor]: Taking taylor expansion of y.re in y.re
11.316 * [backup-simplify]: Simplify 0 into 0
11.316 * [backup-simplify]: Simplify 1 into 1
11.316 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ 1 y.re) (/ 1 y.im))) in y.re
11.316 * [taylor]: Taking taylor expansion of x.im in y.re
11.316 * [backup-simplify]: Simplify x.im into x.im
11.316 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
11.317 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.317 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
11.317 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
11.317 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.317 * [taylor]: Taking taylor expansion of y.re in y.re
11.317 * [backup-simplify]: Simplify 0 into 0
11.317 * [backup-simplify]: Simplify 1 into 1
11.317 * [backup-simplify]: Simplify (/ 1 1) into 1
11.317 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.317 * [taylor]: Taking taylor expansion of y.re in y.re
11.317 * [backup-simplify]: Simplify 0 into 0
11.317 * [backup-simplify]: Simplify 1 into 1
11.317 * [backup-simplify]: Simplify (/ 1 1) into 1
11.317 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
11.317 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.317 * [taylor]: Taking taylor expansion of y.im in y.re
11.317 * [backup-simplify]: Simplify y.im into y.im
11.317 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.317 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.317 * [taylor]: Taking taylor expansion of y.im in y.re
11.317 * [backup-simplify]: Simplify y.im into y.im
11.317 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.318 * [backup-simplify]: Simplify (* 1 1) into 1
11.318 * [backup-simplify]: Simplify (+ 1 0) into 1
11.318 * [backup-simplify]: Simplify (sqrt 1) into 1
11.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.321 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.321 * [backup-simplify]: Simplify (+ 0 0) into 0
11.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.322 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.322 * [backup-simplify]: Simplify (* 0 x.im) into 0
11.322 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0
11.322 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
11.323 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.323 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in y.re
11.323 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))) in y.re
11.323 * [taylor]: Taking taylor expansion of y.re in y.re
11.323 * [backup-simplify]: Simplify 0 into 0
11.323 * [backup-simplify]: Simplify 1 into 1
11.323 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ 1 y.re) (/ 1 y.im))) in y.re
11.323 * [taylor]: Taking taylor expansion of x.im in y.re
11.323 * [backup-simplify]: Simplify x.im into x.im
11.323 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
11.323 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.323 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
11.323 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
11.323 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.323 * [taylor]: Taking taylor expansion of y.re in y.re
11.323 * [backup-simplify]: Simplify 0 into 0
11.323 * [backup-simplify]: Simplify 1 into 1
11.323 * [backup-simplify]: Simplify (/ 1 1) into 1
11.324 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.324 * [taylor]: Taking taylor expansion of y.re in y.re
11.324 * [backup-simplify]: Simplify 0 into 0
11.324 * [backup-simplify]: Simplify 1 into 1
11.324 * [backup-simplify]: Simplify (/ 1 1) into 1
11.324 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
11.324 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.324 * [taylor]: Taking taylor expansion of y.im in y.re
11.324 * [backup-simplify]: Simplify y.im into y.im
11.324 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.324 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.324 * [taylor]: Taking taylor expansion of y.im in y.re
11.324 * [backup-simplify]: Simplify y.im into y.im
11.324 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.325 * [backup-simplify]: Simplify (* 1 1) into 1
11.325 * [backup-simplify]: Simplify (+ 1 0) into 1
11.325 * [backup-simplify]: Simplify (sqrt 1) into 1
11.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.328 * [backup-simplify]: Simplify (+ 0 0) into 0
11.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.328 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.329 * [backup-simplify]: Simplify (* 0 x.im) into 0
11.329 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0
11.329 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
11.329 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.330 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.im
11.330 * [taylor]: Taking taylor expansion of x.im in y.im
11.330 * [backup-simplify]: Simplify x.im into x.im
11.330 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.330 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.330 * [taylor]: Taking taylor expansion of 0 in x.im
11.330 * [backup-simplify]: Simplify 0 into 0
11.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.333 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.333 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
11.334 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
11.335 * [backup-simplify]: Simplify (+ (* x.im (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ x.im (pow y.im 2)))
11.336 * [backup-simplify]: Simplify (+ (* 0 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 1 0) (* 0 x.im))) into 0
11.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.336 * [taylor]: Taking taylor expansion of 0 in y.im
11.336 * [backup-simplify]: Simplify 0 into 0
11.336 * [taylor]: Taking taylor expansion of 0 in x.im
11.336 * [backup-simplify]: Simplify 0 into 0
11.336 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.336 * [taylor]: Taking taylor expansion of 0 in x.im
11.336 * [backup-simplify]: Simplify 0 into 0
11.336 * [backup-simplify]: Simplify 0 into 0
11.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.339 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.340 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.340 * [backup-simplify]: Simplify (+ 0 0) into 0
11.341 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
11.341 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into 0
11.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 0 0) (* 0 x.im)))) into (* 1/2 (/ x.im (pow y.im 2)))
11.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ (* 1/2 (/ x.im (pow y.im 2))) x.im)) (* 0 (/ 0 x.im)))) into (- (* 1/2 (/ 1 (* (pow y.im 2) x.im))))
11.343 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) in y.im
11.343 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y.im 2) x.im))) in y.im
11.343 * [taylor]: Taking taylor expansion of 1/2 in y.im
11.343 * [backup-simplify]: Simplify 1/2 into 1/2
11.343 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.im)) in y.im
11.343 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.im) in y.im
11.343 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
11.343 * [taylor]: Taking taylor expansion of y.im in y.im
11.343 * [backup-simplify]: Simplify 0 into 0
11.343 * [backup-simplify]: Simplify 1 into 1
11.343 * [taylor]: Taking taylor expansion of x.im in y.im
11.343 * [backup-simplify]: Simplify x.im into x.im
11.344 * [backup-simplify]: Simplify (* 1 1) into 1
11.344 * [backup-simplify]: Simplify (* 1 x.im) into x.im
11.344 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.345 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
11.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
11.348 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
11.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.351 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.im))))) into 0
11.351 * [backup-simplify]: Simplify (- 0) into 0
11.351 * [taylor]: Taking taylor expansion of 0 in x.im
11.352 * [backup-simplify]: Simplify 0 into 0
11.352 * [taylor]: Taking taylor expansion of 0 in x.im
11.352 * [backup-simplify]: Simplify 0 into 0
11.352 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.352 * [taylor]: Taking taylor expansion of 0 in x.im
11.352 * [backup-simplify]: Simplify 0 into 0
11.352 * [backup-simplify]: Simplify 0 into 0
11.352 * [backup-simplify]: Simplify 0 into 0
11.352 * [backup-simplify]: Simplify 0 into 0
11.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.356 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.357 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
11.357 * [backup-simplify]: Simplify (+ 0 0) into 0
11.359 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y.im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y.im 4))
11.360 * [backup-simplify]: Simplify (+ (* x.im (/ -1/8 (pow y.im 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))))) into (- (* 1/8 (/ x.im (pow y.im 4))))
11.362 * [backup-simplify]: Simplify (+ (* 0 (- (* 1/8 (/ x.im (pow y.im 4))))) (+ (* 1 0) (+ (* 0 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 0 0) (* 0 x.im))))) into 0
11.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ (* 1/2 (/ x.im (pow y.im 2))) x.im)) (* (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) (/ 0 x.im)))) into 0
11.362 * [taylor]: Taking taylor expansion of 0 in y.im
11.362 * [backup-simplify]: Simplify 0 into 0
11.363 * [taylor]: Taking taylor expansion of 0 in x.im
11.363 * [backup-simplify]: Simplify 0 into 0
11.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
11.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.367 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.im)))))) into 0
11.368 * [backup-simplify]: Simplify (- 0) into 0
11.368 * [taylor]: Taking taylor expansion of 0 in x.im
11.368 * [backup-simplify]: Simplify 0 into 0
11.368 * [taylor]: Taking taylor expansion of 0 in x.im
11.368 * [backup-simplify]: Simplify 0 into 0
11.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.368 * [taylor]: Taking taylor expansion of 0 in x.im
11.368 * [backup-simplify]: Simplify 0 into 0
11.368 * [backup-simplify]: Simplify 0 into 0
11.368 * [backup-simplify]: Simplify 0 into 0
11.368 * [backup-simplify]: Simplify 0 into 0
11.369 * [backup-simplify]: Simplify (* (/ (/ 1 (- y.re)) (hypot (/ 1 (- y.re)) (/ 1 (- y.im)))) (/ 1 (- x.im))) into (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))))
11.369 * [approximate]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in (y.re y.im x.im) around 0
11.369 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in x.im
11.369 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))) in x.im
11.369 * [taylor]: Taking taylor expansion of y.re in x.im
11.369 * [backup-simplify]: Simplify y.re into y.re
11.369 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ -1 y.re) (/ -1 y.im))) in x.im
11.369 * [taylor]: Taking taylor expansion of x.im in x.im
11.369 * [backup-simplify]: Simplify 0 into 0
11.369 * [backup-simplify]: Simplify 1 into 1
11.369 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.im
11.369 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.369 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.im
11.369 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
11.369 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
11.369 * [taylor]: Taking taylor expansion of -1 in x.im
11.369 * [backup-simplify]: Simplify -1 into -1
11.369 * [taylor]: Taking taylor expansion of y.re in x.im
11.369 * [backup-simplify]: Simplify y.re into y.re
11.369 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.369 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
11.369 * [taylor]: Taking taylor expansion of -1 in x.im
11.369 * [backup-simplify]: Simplify -1 into -1
11.369 * [taylor]: Taking taylor expansion of y.re in x.im
11.369 * [backup-simplify]: Simplify y.re into y.re
11.370 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.370 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.im
11.370 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
11.370 * [taylor]: Taking taylor expansion of -1 in x.im
11.370 * [backup-simplify]: Simplify -1 into -1
11.370 * [taylor]: Taking taylor expansion of y.im in x.im
11.370 * [backup-simplify]: Simplify y.im into y.im
11.370 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.370 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
11.370 * [taylor]: Taking taylor expansion of -1 in x.im
11.370 * [backup-simplify]: Simplify -1 into -1
11.370 * [taylor]: Taking taylor expansion of y.im in x.im
11.370 * [backup-simplify]: Simplify y.im into y.im
11.370 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.370 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
11.370 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.371 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.371 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.371 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.371 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.372 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
11.372 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.372 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.372 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.373 * [backup-simplify]: Simplify (+ 0 0) into 0
11.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.373 * [backup-simplify]: Simplify (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into 0
11.374 * [backup-simplify]: Simplify (* y.re 0) into 0
11.374 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.375 * [backup-simplify]: Simplify (+ (* y.re (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 0)) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.re)
11.376 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.re)) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
11.376 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in y.im
11.376 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))) in y.im
11.376 * [taylor]: Taking taylor expansion of y.re in y.im
11.376 * [backup-simplify]: Simplify y.re into y.re
11.376 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ -1 y.re) (/ -1 y.im))) in y.im
11.376 * [taylor]: Taking taylor expansion of x.im in y.im
11.376 * [backup-simplify]: Simplify x.im into x.im
11.376 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.im
11.376 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.376 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.im
11.376 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.im
11.376 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
11.376 * [taylor]: Taking taylor expansion of -1 in y.im
11.376 * [backup-simplify]: Simplify -1 into -1
11.376 * [taylor]: Taking taylor expansion of y.re in y.im
11.376 * [backup-simplify]: Simplify y.re into y.re
11.376 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.376 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
11.376 * [taylor]: Taking taylor expansion of -1 in y.im
11.376 * [backup-simplify]: Simplify -1 into -1
11.376 * [taylor]: Taking taylor expansion of y.re in y.im
11.376 * [backup-simplify]: Simplify y.re into y.re
11.376 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.376 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.im
11.376 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
11.377 * [taylor]: Taking taylor expansion of -1 in y.im
11.377 * [backup-simplify]: Simplify -1 into -1
11.377 * [taylor]: Taking taylor expansion of y.im in y.im
11.377 * [backup-simplify]: Simplify 0 into 0
11.377 * [backup-simplify]: Simplify 1 into 1
11.377 * [backup-simplify]: Simplify (/ -1 1) into -1
11.377 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
11.377 * [taylor]: Taking taylor expansion of -1 in y.im
11.377 * [backup-simplify]: Simplify -1 into -1
11.377 * [taylor]: Taking taylor expansion of y.im in y.im
11.377 * [backup-simplify]: Simplify 0 into 0
11.377 * [backup-simplify]: Simplify 1 into 1
11.378 * [backup-simplify]: Simplify (/ -1 1) into -1
11.378 * [backup-simplify]: Simplify (* -1 -1) into 1
11.379 * [backup-simplify]: Simplify (+ 0 1) into 1
11.379 * [backup-simplify]: Simplify (sqrt 1) into 1
11.380 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.381 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.381 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.382 * [backup-simplify]: Simplify (+ 0 0) into 0
11.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.383 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.383 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
11.383 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
11.383 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in y.re
11.383 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))) in y.re
11.383 * [taylor]: Taking taylor expansion of y.re in y.re
11.383 * [backup-simplify]: Simplify 0 into 0
11.383 * [backup-simplify]: Simplify 1 into 1
11.383 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
11.383 * [taylor]: Taking taylor expansion of x.im in y.re
11.383 * [backup-simplify]: Simplify x.im into x.im
11.383 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
11.383 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.383 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
11.383 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
11.383 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.384 * [taylor]: Taking taylor expansion of -1 in y.re
11.384 * [backup-simplify]: Simplify -1 into -1
11.384 * [taylor]: Taking taylor expansion of y.re in y.re
11.384 * [backup-simplify]: Simplify 0 into 0
11.384 * [backup-simplify]: Simplify 1 into 1
11.384 * [backup-simplify]: Simplify (/ -1 1) into -1
11.384 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.384 * [taylor]: Taking taylor expansion of -1 in y.re
11.384 * [backup-simplify]: Simplify -1 into -1
11.384 * [taylor]: Taking taylor expansion of y.re in y.re
11.384 * [backup-simplify]: Simplify 0 into 0
11.384 * [backup-simplify]: Simplify 1 into 1
11.385 * [backup-simplify]: Simplify (/ -1 1) into -1
11.385 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
11.385 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.385 * [taylor]: Taking taylor expansion of -1 in y.re
11.385 * [backup-simplify]: Simplify -1 into -1
11.385 * [taylor]: Taking taylor expansion of y.im in y.re
11.385 * [backup-simplify]: Simplify y.im into y.im
11.385 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.385 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.385 * [taylor]: Taking taylor expansion of -1 in y.re
11.385 * [backup-simplify]: Simplify -1 into -1
11.385 * [taylor]: Taking taylor expansion of y.im in y.re
11.385 * [backup-simplify]: Simplify y.im into y.im
11.385 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.386 * [backup-simplify]: Simplify (* -1 -1) into 1
11.386 * [backup-simplify]: Simplify (+ 1 0) into 1
11.386 * [backup-simplify]: Simplify (sqrt 1) into 1
11.387 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.389 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.389 * [backup-simplify]: Simplify (+ 0 0) into 0
11.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.390 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.390 * [backup-simplify]: Simplify (* 0 x.im) into 0
11.390 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0
11.391 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
11.391 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.391 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in y.re
11.391 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))) in y.re
11.391 * [taylor]: Taking taylor expansion of y.re in y.re
11.391 * [backup-simplify]: Simplify 0 into 0
11.391 * [backup-simplify]: Simplify 1 into 1
11.391 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
11.391 * [taylor]: Taking taylor expansion of x.im in y.re
11.391 * [backup-simplify]: Simplify x.im into x.im
11.391 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
11.391 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.391 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
11.391 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
11.391 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.392 * [taylor]: Taking taylor expansion of -1 in y.re
11.392 * [backup-simplify]: Simplify -1 into -1
11.392 * [taylor]: Taking taylor expansion of y.re in y.re
11.392 * [backup-simplify]: Simplify 0 into 0
11.392 * [backup-simplify]: Simplify 1 into 1
11.392 * [backup-simplify]: Simplify (/ -1 1) into -1
11.392 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.392 * [taylor]: Taking taylor expansion of -1 in y.re
11.392 * [backup-simplify]: Simplify -1 into -1
11.392 * [taylor]: Taking taylor expansion of y.re in y.re
11.392 * [backup-simplify]: Simplify 0 into 0
11.392 * [backup-simplify]: Simplify 1 into 1
11.393 * [backup-simplify]: Simplify (/ -1 1) into -1
11.393 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
11.393 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.393 * [taylor]: Taking taylor expansion of -1 in y.re
11.393 * [backup-simplify]: Simplify -1 into -1
11.393 * [taylor]: Taking taylor expansion of y.im in y.re
11.393 * [backup-simplify]: Simplify y.im into y.im
11.393 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.393 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.393 * [taylor]: Taking taylor expansion of -1 in y.re
11.393 * [backup-simplify]: Simplify -1 into -1
11.393 * [taylor]: Taking taylor expansion of y.im in y.re
11.393 * [backup-simplify]: Simplify y.im into y.im
11.393 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.393 * [backup-simplify]: Simplify (* -1 -1) into 1
11.394 * [backup-simplify]: Simplify (+ 1 0) into 1
11.394 * [backup-simplify]: Simplify (sqrt 1) into 1
11.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.397 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.397 * [backup-simplify]: Simplify (+ 0 0) into 0
11.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.398 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.398 * [backup-simplify]: Simplify (* 0 x.im) into 0
11.398 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0
11.399 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
11.399 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.399 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.im
11.399 * [taylor]: Taking taylor expansion of x.im in y.im
11.399 * [backup-simplify]: Simplify x.im into x.im
11.399 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.399 * [taylor]: Taking taylor expansion of 0 in x.im
11.399 * [backup-simplify]: Simplify 0 into 0
11.400 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.402 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.403 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.403 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
11.404 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
11.405 * [backup-simplify]: Simplify (+ (* x.im (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ x.im (pow y.im 2)))
11.406 * [backup-simplify]: Simplify (+ (* 0 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 1 0) (* 0 x.im))) into 0
11.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.406 * [taylor]: Taking taylor expansion of 0 in y.im
11.406 * [backup-simplify]: Simplify 0 into 0
11.406 * [taylor]: Taking taylor expansion of 0 in x.im
11.406 * [backup-simplify]: Simplify 0 into 0
11.406 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.406 * [taylor]: Taking taylor expansion of 0 in x.im
11.406 * [backup-simplify]: Simplify 0 into 0
11.406 * [backup-simplify]: Simplify 0 into 0
11.407 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.409 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.410 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
11.410 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.410 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.410 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.411 * [backup-simplify]: Simplify (+ 0 0) into 0
11.411 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
11.412 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into 0
11.414 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 0 0) (* 0 x.im)))) into (* 1/2 (/ x.im (pow y.im 2)))
11.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ (* 1/2 (/ x.im (pow y.im 2))) x.im)) (* 0 (/ 0 x.im)))) into (- (* 1/2 (/ 1 (* (pow y.im 2) x.im))))
11.414 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) in y.im
11.414 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y.im 2) x.im))) in y.im
11.414 * [taylor]: Taking taylor expansion of 1/2 in y.im
11.414 * [backup-simplify]: Simplify 1/2 into 1/2
11.414 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.im)) in y.im
11.414 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.im) in y.im
11.414 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
11.414 * [taylor]: Taking taylor expansion of y.im in y.im
11.414 * [backup-simplify]: Simplify 0 into 0
11.415 * [backup-simplify]: Simplify 1 into 1
11.415 * [taylor]: Taking taylor expansion of x.im in y.im
11.415 * [backup-simplify]: Simplify x.im into x.im
11.415 * [backup-simplify]: Simplify (* 1 1) into 1
11.415 * [backup-simplify]: Simplify (* 1 x.im) into x.im
11.415 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.417 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
11.419 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
11.420 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.420 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
11.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.421 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.422 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.im))))) into 0
11.423 * [backup-simplify]: Simplify (- 0) into 0
11.423 * [taylor]: Taking taylor expansion of 0 in x.im
11.423 * [backup-simplify]: Simplify 0 into 0
11.423 * [taylor]: Taking taylor expansion of 0 in x.im
11.423 * [backup-simplify]: Simplify 0 into 0
11.423 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.423 * [taylor]: Taking taylor expansion of 0 in x.im
11.423 * [backup-simplify]: Simplify 0 into 0
11.423 * [backup-simplify]: Simplify 0 into 0
11.423 * [backup-simplify]: Simplify 0 into 0
11.423 * [backup-simplify]: Simplify 0 into 0
11.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.426 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
11.426 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.427 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.427 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
11.428 * [backup-simplify]: Simplify (+ 0 0) into 0
11.429 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y.im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y.im 4))
11.431 * [backup-simplify]: Simplify (+ (* x.im (/ -1/8 (pow y.im 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))))) into (- (* 1/8 (/ x.im (pow y.im 4))))
11.433 * [backup-simplify]: Simplify (+ (* 0 (- (* 1/8 (/ x.im (pow y.im 4))))) (+ (* 1 0) (+ (* 0 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 0 0) (* 0 x.im))))) into 0
11.433 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ (* 1/2 (/ x.im (pow y.im 2))) x.im)) (* (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) (/ 0 x.im)))) into 0
11.433 * [taylor]: Taking taylor expansion of 0 in y.im
11.433 * [backup-simplify]: Simplify 0 into 0
11.433 * [taylor]: Taking taylor expansion of 0 in x.im
11.433 * [backup-simplify]: Simplify 0 into 0
11.435 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.437 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
11.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.439 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.im)))))) into 0
11.443 * [backup-simplify]: Simplify (- 0) into 0
11.443 * [taylor]: Taking taylor expansion of 0 in x.im
11.443 * [backup-simplify]: Simplify 0 into 0
11.443 * [taylor]: Taking taylor expansion of 0 in x.im
11.443 * [backup-simplify]: Simplify 0 into 0
11.444 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.444 * [taylor]: Taking taylor expansion of 0 in x.im
11.444 * [backup-simplify]: Simplify 0 into 0
11.444 * [backup-simplify]: Simplify 0 into 0
11.444 * [backup-simplify]: Simplify 0 into 0
11.444 * [backup-simplify]: Simplify 0 into 0
11.444 * * * * [progress]: [ 3 / 4 ] generating series at (2 2)
11.445 * [backup-simplify]: Simplify (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)) into (/ (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) (hypot y.re y.im))
11.445 * [approximate]: Taking taylor expansion of (/ (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) (hypot y.re y.im)) in (y.re y.im x.im x.re) around 0
11.445 * [taylor]: Taking taylor expansion of (/ (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) (hypot y.re y.im)) in x.re
11.445 * [taylor]: Taking taylor expansion of (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) in x.re
11.445 * [taylor]: Taking taylor expansion of (/ (* y.re x.im) (hypot y.re y.im)) in x.re
11.445 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
11.445 * [taylor]: Taking taylor expansion of y.re in x.re
11.445 * [backup-simplify]: Simplify y.re into y.re
11.445 * [taylor]: Taking taylor expansion of x.im in x.re
11.445 * [backup-simplify]: Simplify x.im into x.im
11.445 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.re
11.445 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.445 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
11.445 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.re
11.445 * [taylor]: Taking taylor expansion of y.re in x.re
11.445 * [backup-simplify]: Simplify y.re into y.re
11.445 * [taylor]: Taking taylor expansion of y.re in x.re
11.445 * [backup-simplify]: Simplify y.re into y.re
11.445 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.re
11.445 * [taylor]: Taking taylor expansion of y.im in x.re
11.445 * [backup-simplify]: Simplify y.im into y.im
11.445 * [taylor]: Taking taylor expansion of y.im in x.re
11.445 * [backup-simplify]: Simplify y.im into y.im
11.445 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.445 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.446 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
11.446 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
11.446 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.446 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.447 * [backup-simplify]: Simplify (+ 0 0) into 0
11.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
11.447 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
11.448 * [backup-simplify]: Simplify (/ (* y.re x.im) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.re x.im))
11.448 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in x.re
11.448 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
11.448 * [taylor]: Taking taylor expansion of y.im in x.re
11.448 * [backup-simplify]: Simplify y.im into y.im
11.448 * [taylor]: Taking taylor expansion of x.re in x.re
11.448 * [backup-simplify]: Simplify 0 into 0
11.448 * [backup-simplify]: Simplify 1 into 1
11.448 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.re
11.448 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.448 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
11.448 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.re
11.448 * [taylor]: Taking taylor expansion of y.re in x.re
11.448 * [backup-simplify]: Simplify y.re into y.re
11.448 * [taylor]: Taking taylor expansion of y.re in x.re
11.448 * [backup-simplify]: Simplify y.re into y.re
11.448 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.re
11.448 * [taylor]: Taking taylor expansion of y.im in x.re
11.448 * [backup-simplify]: Simplify y.im into y.im
11.448 * [taylor]: Taking taylor expansion of y.im in x.re
11.448 * [backup-simplify]: Simplify y.im into y.im
11.448 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.448 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.449 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
11.449 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
11.449 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.449 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.450 * [backup-simplify]: Simplify (+ 0 0) into 0
11.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
11.450 * [backup-simplify]: Simplify (* y.im 0) into 0
11.450 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
11.450 * [backup-simplify]: Simplify (/ y.im (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.im)
11.450 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.re
11.450 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.450 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
11.450 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.re
11.450 * [taylor]: Taking taylor expansion of y.re in x.re
11.450 * [backup-simplify]: Simplify y.re into y.re
11.450 * [taylor]: Taking taylor expansion of y.re in x.re
11.450 * [backup-simplify]: Simplify y.re into y.re
11.450 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.re
11.451 * [taylor]: Taking taylor expansion of y.im in x.re
11.451 * [backup-simplify]: Simplify y.im into y.im
11.451 * [taylor]: Taking taylor expansion of y.im in x.re
11.451 * [backup-simplify]: Simplify y.im into y.im
11.451 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.451 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.451 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
11.451 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
11.451 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.451 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.451 * [backup-simplify]: Simplify (+ 0 0) into 0
11.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
11.452 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.re x.im)) 0) into (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) (* x.im y.re))
11.452 * [backup-simplify]: Simplify (/ (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) (* x.im y.re)) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (/ (* y.re x.im) (+ (pow y.im 2) (pow y.re 2)))
11.452 * [taylor]: Taking taylor expansion of (/ (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) (hypot y.re y.im)) in x.im
11.452 * [taylor]: Taking taylor expansion of (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) in x.im
11.452 * [taylor]: Taking taylor expansion of (/ (* y.re x.im) (hypot y.re y.im)) in x.im
11.452 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
11.452 * [taylor]: Taking taylor expansion of y.re in x.im
11.452 * [backup-simplify]: Simplify y.re into y.re
11.452 * [taylor]: Taking taylor expansion of x.im in x.im
11.452 * [backup-simplify]: Simplify 0 into 0
11.452 * [backup-simplify]: Simplify 1 into 1
11.452 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.im
11.452 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.452 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
11.452 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
11.452 * [taylor]: Taking taylor expansion of y.re in x.im
11.452 * [backup-simplify]: Simplify y.re into y.re
11.452 * [taylor]: Taking taylor expansion of y.re in x.im
11.452 * [backup-simplify]: Simplify y.re into y.re
11.452 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.im
11.452 * [taylor]: Taking taylor expansion of y.im in x.im
11.453 * [backup-simplify]: Simplify y.im into y.im
11.453 * [taylor]: Taking taylor expansion of y.im in x.im
11.453 * [backup-simplify]: Simplify y.im into y.im
11.453 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.453 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.453 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
11.453 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
11.453 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.453 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.453 * [backup-simplify]: Simplify (+ 0 0) into 0
11.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
11.454 * [backup-simplify]: Simplify (* y.re 0) into 0
11.454 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
11.454 * [backup-simplify]: Simplify (/ y.re (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re)
11.454 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in x.im
11.454 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
11.454 * [taylor]: Taking taylor expansion of y.im in x.im
11.454 * [backup-simplify]: Simplify y.im into y.im
11.454 * [taylor]: Taking taylor expansion of x.re in x.im
11.454 * [backup-simplify]: Simplify x.re into x.re
11.454 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.im
11.454 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.454 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
11.454 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
11.454 * [taylor]: Taking taylor expansion of y.re in x.im
11.454 * [backup-simplify]: Simplify y.re into y.re
11.454 * [taylor]: Taking taylor expansion of y.re in x.im
11.454 * [backup-simplify]: Simplify y.re into y.re
11.454 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.im
11.454 * [taylor]: Taking taylor expansion of y.im in x.im
11.454 * [backup-simplify]: Simplify y.im into y.im
11.454 * [taylor]: Taking taylor expansion of y.im in x.im
11.454 * [backup-simplify]: Simplify y.im into y.im
11.454 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.454 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.455 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
11.455 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
11.455 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.455 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.455 * [backup-simplify]: Simplify (+ 0 0) into 0
11.455 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
11.455 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
11.456 * [backup-simplify]: Simplify (/ (* y.im x.re) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re))
11.456 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.im
11.456 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.456 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
11.456 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
11.456 * [taylor]: Taking taylor expansion of y.re in x.im
11.456 * [backup-simplify]: Simplify y.re into y.re
11.456 * [taylor]: Taking taylor expansion of y.re in x.im
11.456 * [backup-simplify]: Simplify y.re into y.re
11.456 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.im
11.456 * [taylor]: Taking taylor expansion of y.im in x.im
11.456 * [backup-simplify]: Simplify y.im into y.im
11.456 * [taylor]: Taking taylor expansion of y.im in x.im
11.456 * [backup-simplify]: Simplify y.im into y.im
11.456 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.456 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.456 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
11.456 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
11.456 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.456 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.457 * [backup-simplify]: Simplify (+ 0 0) into 0
11.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
11.457 * [backup-simplify]: Simplify (- (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re))) into (- (* (* y.im x.re) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))))
11.457 * [backup-simplify]: Simplify (+ 0 (- (* (* y.im x.re) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))))) into (- (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re)))
11.458 * [backup-simplify]: Simplify (/ (- (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re))) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* -1 (* (sqrt (/ 1 (* (+ (pow y.im 2) (pow y.re 2)) (+ (pow y.re 2) (pow y.im 2))))) (* y.im x.re)))
11.458 * [taylor]: Taking taylor expansion of (/ (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) (hypot y.re y.im)) in y.im
11.458 * [taylor]: Taking taylor expansion of (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) in y.im
11.458 * [taylor]: Taking taylor expansion of (/ (* y.re x.im) (hypot y.re y.im)) in y.im
11.458 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
11.458 * [taylor]: Taking taylor expansion of y.re in y.im
11.458 * [backup-simplify]: Simplify y.re into y.re
11.458 * [taylor]: Taking taylor expansion of x.im in y.im
11.458 * [backup-simplify]: Simplify x.im into x.im
11.458 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.im
11.458 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.458 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
11.458 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.im
11.458 * [taylor]: Taking taylor expansion of y.re in y.im
11.458 * [backup-simplify]: Simplify y.re into y.re
11.458 * [taylor]: Taking taylor expansion of y.re in y.im
11.458 * [backup-simplify]: Simplify y.re into y.re
11.458 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.im
11.458 * [taylor]: Taking taylor expansion of y.im in y.im
11.458 * [backup-simplify]: Simplify 0 into 0
11.458 * [backup-simplify]: Simplify 1 into 1
11.458 * [taylor]: Taking taylor expansion of y.im in y.im
11.458 * [backup-simplify]: Simplify 0 into 0
11.458 * [backup-simplify]: Simplify 1 into 1
11.458 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.459 * [backup-simplify]: Simplify (* 0 0) into 0
11.459 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
11.459 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
11.459 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.459 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.459 * [backup-simplify]: Simplify (+ 0 0) into 0
11.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
11.460 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
11.460 * [backup-simplify]: Simplify (/ (* y.re x.im) y.re) into x.im
11.460 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in y.im
11.460 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
11.460 * [taylor]: Taking taylor expansion of y.im in y.im
11.460 * [backup-simplify]: Simplify 0 into 0
11.460 * [backup-simplify]: Simplify 1 into 1
11.460 * [taylor]: Taking taylor expansion of x.re in y.im
11.460 * [backup-simplify]: Simplify x.re into x.re
11.460 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.im
11.460 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.460 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
11.460 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.im
11.460 * [taylor]: Taking taylor expansion of y.re in y.im
11.460 * [backup-simplify]: Simplify y.re into y.re
11.460 * [taylor]: Taking taylor expansion of y.re in y.im
11.460 * [backup-simplify]: Simplify y.re into y.re
11.460 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.im
11.460 * [taylor]: Taking taylor expansion of y.im in y.im
11.460 * [backup-simplify]: Simplify 0 into 0
11.460 * [backup-simplify]: Simplify 1 into 1
11.460 * [taylor]: Taking taylor expansion of y.im in y.im
11.460 * [backup-simplify]: Simplify 0 into 0
11.460 * [backup-simplify]: Simplify 1 into 1
11.460 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.460 * [backup-simplify]: Simplify (* 0 0) into 0
11.460 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
11.461 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
11.461 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.461 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.461 * [backup-simplify]: Simplify (+ 0 0) into 0
11.461 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
11.461 * [backup-simplify]: Simplify (* 0 x.re) into 0
11.462 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
11.462 * [backup-simplify]: Simplify (/ x.re y.re) into (/ x.re y.re)
11.462 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.im
11.462 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.462 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
11.462 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.im
11.462 * [taylor]: Taking taylor expansion of y.re in y.im
11.462 * [backup-simplify]: Simplify y.re into y.re
11.462 * [taylor]: Taking taylor expansion of y.re in y.im
11.462 * [backup-simplify]: Simplify y.re into y.re
11.462 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.im
11.462 * [taylor]: Taking taylor expansion of y.im in y.im
11.462 * [backup-simplify]: Simplify 0 into 0
11.462 * [backup-simplify]: Simplify 1 into 1
11.462 * [taylor]: Taking taylor expansion of y.im in y.im
11.462 * [backup-simplify]: Simplify 0 into 0
11.462 * [backup-simplify]: Simplify 1 into 1
11.462 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.462 * [backup-simplify]: Simplify (* 0 0) into 0
11.462 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
11.462 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
11.463 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.463 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.463 * [backup-simplify]: Simplify (+ 0 0) into 0
11.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
11.463 * [backup-simplify]: Simplify (+ x.im 0) into x.im
11.463 * [backup-simplify]: Simplify (/ x.im y.re) into (/ x.im y.re)
11.463 * [taylor]: Taking taylor expansion of (/ (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) (hypot y.re y.im)) in y.re
11.463 * [taylor]: Taking taylor expansion of (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) in y.re
11.463 * [taylor]: Taking taylor expansion of (/ (* y.re x.im) (hypot y.re y.im)) in y.re
11.463 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
11.463 * [taylor]: Taking taylor expansion of y.re in y.re
11.463 * [backup-simplify]: Simplify 0 into 0
11.463 * [backup-simplify]: Simplify 1 into 1
11.463 * [taylor]: Taking taylor expansion of x.im in y.re
11.463 * [backup-simplify]: Simplify x.im into x.im
11.463 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
11.464 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.464 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
11.464 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
11.464 * [taylor]: Taking taylor expansion of y.re in y.re
11.464 * [backup-simplify]: Simplify 0 into 0
11.464 * [backup-simplify]: Simplify 1 into 1
11.464 * [taylor]: Taking taylor expansion of y.re in y.re
11.464 * [backup-simplify]: Simplify 0 into 0
11.464 * [backup-simplify]: Simplify 1 into 1
11.464 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
11.464 * [taylor]: Taking taylor expansion of y.im in y.re
11.464 * [backup-simplify]: Simplify y.im into y.im
11.464 * [taylor]: Taking taylor expansion of y.im in y.re
11.464 * [backup-simplify]: Simplify y.im into y.im
11.464 * [backup-simplify]: Simplify (* 0 0) into 0
11.464 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.464 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
11.464 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
11.465 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.465 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.465 * [backup-simplify]: Simplify (+ 0 0) into 0
11.465 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
11.465 * [backup-simplify]: Simplify (* 0 x.im) into 0
11.465 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
11.465 * [backup-simplify]: Simplify (/ x.im y.im) into (/ x.im y.im)
11.465 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in y.re
11.465 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
11.465 * [taylor]: Taking taylor expansion of y.im in y.re
11.465 * [backup-simplify]: Simplify y.im into y.im
11.466 * [taylor]: Taking taylor expansion of x.re in y.re
11.466 * [backup-simplify]: Simplify x.re into x.re
11.466 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
11.466 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.466 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
11.466 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
11.466 * [taylor]: Taking taylor expansion of y.re in y.re
11.466 * [backup-simplify]: Simplify 0 into 0
11.466 * [backup-simplify]: Simplify 1 into 1
11.466 * [taylor]: Taking taylor expansion of y.re in y.re
11.466 * [backup-simplify]: Simplify 0 into 0
11.466 * [backup-simplify]: Simplify 1 into 1
11.466 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
11.466 * [taylor]: Taking taylor expansion of y.im in y.re
11.466 * [backup-simplify]: Simplify y.im into y.im
11.466 * [taylor]: Taking taylor expansion of y.im in y.re
11.466 * [backup-simplify]: Simplify y.im into y.im
11.466 * [backup-simplify]: Simplify (* 0 0) into 0
11.466 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.466 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
11.466 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
11.467 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.467 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.467 * [backup-simplify]: Simplify (+ 0 0) into 0
11.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
11.467 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
11.467 * [backup-simplify]: Simplify (/ (* y.im x.re) y.im) into x.re
11.467 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
11.467 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.467 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
11.467 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
11.467 * [taylor]: Taking taylor expansion of y.re in y.re
11.467 * [backup-simplify]: Simplify 0 into 0
11.467 * [backup-simplify]: Simplify 1 into 1
11.467 * [taylor]: Taking taylor expansion of y.re in y.re
11.467 * [backup-simplify]: Simplify 0 into 0
11.467 * [backup-simplify]: Simplify 1 into 1
11.467 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
11.467 * [taylor]: Taking taylor expansion of y.im in y.re
11.467 * [backup-simplify]: Simplify y.im into y.im
11.468 * [taylor]: Taking taylor expansion of y.im in y.re
11.468 * [backup-simplify]: Simplify y.im into y.im
11.468 * [backup-simplify]: Simplify (* 0 0) into 0
11.468 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.468 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
11.468 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
11.468 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.468 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.469 * [backup-simplify]: Simplify (+ 0 0) into 0
11.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
11.469 * [backup-simplify]: Simplify (- x.re) into (- x.re)
11.469 * [backup-simplify]: Simplify (+ 0 (- x.re)) into (- x.re)
11.469 * [backup-simplify]: Simplify (/ (- x.re) y.im) into (* -1 (/ x.re y.im))
11.469 * [taylor]: Taking taylor expansion of (/ (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) (hypot y.re y.im)) in y.re
11.469 * [taylor]: Taking taylor expansion of (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) in y.re
11.469 * [taylor]: Taking taylor expansion of (/ (* y.re x.im) (hypot y.re y.im)) in y.re
11.469 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
11.469 * [taylor]: Taking taylor expansion of y.re in y.re
11.469 * [backup-simplify]: Simplify 0 into 0
11.469 * [backup-simplify]: Simplify 1 into 1
11.469 * [taylor]: Taking taylor expansion of x.im in y.re
11.469 * [backup-simplify]: Simplify x.im into x.im
11.469 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
11.469 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.469 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
11.469 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
11.469 * [taylor]: Taking taylor expansion of y.re in y.re
11.469 * [backup-simplify]: Simplify 0 into 0
11.469 * [backup-simplify]: Simplify 1 into 1
11.469 * [taylor]: Taking taylor expansion of y.re in y.re
11.469 * [backup-simplify]: Simplify 0 into 0
11.469 * [backup-simplify]: Simplify 1 into 1
11.469 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
11.469 * [taylor]: Taking taylor expansion of y.im in y.re
11.469 * [backup-simplify]: Simplify y.im into y.im
11.469 * [taylor]: Taking taylor expansion of y.im in y.re
11.469 * [backup-simplify]: Simplify y.im into y.im
11.470 * [backup-simplify]: Simplify (* 0 0) into 0
11.470 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.470 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
11.470 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
11.470 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.470 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.471 * [backup-simplify]: Simplify (+ 0 0) into 0
11.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
11.471 * [backup-simplify]: Simplify (* 0 x.im) into 0
11.471 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
11.471 * [backup-simplify]: Simplify (/ x.im y.im) into (/ x.im y.im)
11.471 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in y.re
11.471 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
11.471 * [taylor]: Taking taylor expansion of y.im in y.re
11.471 * [backup-simplify]: Simplify y.im into y.im
11.471 * [taylor]: Taking taylor expansion of x.re in y.re
11.471 * [backup-simplify]: Simplify x.re into x.re
11.471 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
11.471 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.471 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
11.472 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
11.472 * [taylor]: Taking taylor expansion of y.re in y.re
11.472 * [backup-simplify]: Simplify 0 into 0
11.472 * [backup-simplify]: Simplify 1 into 1
11.472 * [taylor]: Taking taylor expansion of y.re in y.re
11.472 * [backup-simplify]: Simplify 0 into 0
11.472 * [backup-simplify]: Simplify 1 into 1
11.472 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
11.472 * [taylor]: Taking taylor expansion of y.im in y.re
11.472 * [backup-simplify]: Simplify y.im into y.im
11.472 * [taylor]: Taking taylor expansion of y.im in y.re
11.472 * [backup-simplify]: Simplify y.im into y.im
11.472 * [backup-simplify]: Simplify (* 0 0) into 0
11.472 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.472 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
11.472 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
11.473 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.473 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.473 * [backup-simplify]: Simplify (+ 0 0) into 0
11.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
11.473 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
11.473 * [backup-simplify]: Simplify (/ (* y.im x.re) y.im) into x.re
11.473 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
11.473 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.473 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
11.473 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
11.473 * [taylor]: Taking taylor expansion of y.re in y.re
11.473 * [backup-simplify]: Simplify 0 into 0
11.473 * [backup-simplify]: Simplify 1 into 1
11.473 * [taylor]: Taking taylor expansion of y.re in y.re
11.473 * [backup-simplify]: Simplify 0 into 0
11.473 * [backup-simplify]: Simplify 1 into 1
11.473 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
11.473 * [taylor]: Taking taylor expansion of y.im in y.re
11.473 * [backup-simplify]: Simplify y.im into y.im
11.473 * [taylor]: Taking taylor expansion of y.im in y.re
11.473 * [backup-simplify]: Simplify y.im into y.im
11.474 * [backup-simplify]: Simplify (* 0 0) into 0
11.474 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.474 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
11.474 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
11.474 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.474 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.475 * [backup-simplify]: Simplify (+ 0 0) into 0
11.475 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
11.475 * [backup-simplify]: Simplify (- x.re) into (- x.re)
11.475 * [backup-simplify]: Simplify (+ 0 (- x.re)) into (- x.re)
11.475 * [backup-simplify]: Simplify (/ (- x.re) y.im) into (* -1 (/ x.re y.im))
11.475 * [taylor]: Taking taylor expansion of (* -1 (/ x.re y.im)) in y.im
11.475 * [taylor]: Taking taylor expansion of -1 in y.im
11.475 * [backup-simplify]: Simplify -1 into -1
11.475 * [taylor]: Taking taylor expansion of (/ x.re y.im) in y.im
11.475 * [taylor]: Taking taylor expansion of x.re in y.im
11.475 * [backup-simplify]: Simplify x.re into x.re
11.475 * [taylor]: Taking taylor expansion of y.im in y.im
11.475 * [backup-simplify]: Simplify 0 into 0
11.475 * [backup-simplify]: Simplify 1 into 1
11.475 * [backup-simplify]: Simplify (/ x.re 1) into x.re
11.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0
11.476 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 x.re)) into 0
11.476 * [taylor]: Taking taylor expansion of 0 in x.im
11.476 * [backup-simplify]: Simplify 0 into 0
11.476 * [taylor]: Taking taylor expansion of 0 in x.re
11.476 * [backup-simplify]: Simplify 0 into 0
11.476 * [backup-simplify]: Simplify 0 into 0
11.476 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
11.476 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* x.re (/ 0 y.im)))) into 0
11.476 * [backup-simplify]: Simplify (- 0) into 0
11.477 * [backup-simplify]: Simplify (+ (/ x.im y.im) 0) into (/ x.im y.im)
11.477 * [backup-simplify]: Simplify (- (/ (/ x.im y.im) y.im) (+ (* (* -1 (/ x.re y.im)) (/ 0 y.im)))) into (/ x.im (pow y.im 2))
11.477 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 2)) in y.im
11.477 * [taylor]: Taking taylor expansion of x.im in y.im
11.477 * [backup-simplify]: Simplify x.im into x.im
11.477 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
11.477 * [taylor]: Taking taylor expansion of y.im in y.im
11.477 * [backup-simplify]: Simplify 0 into 0
11.477 * [backup-simplify]: Simplify 1 into 1
11.477 * [backup-simplify]: Simplify (* 1 1) into 1
11.477 * [backup-simplify]: Simplify (/ x.im 1) into x.im
11.478 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)))) into 0
11.479 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.479 * [taylor]: Taking taylor expansion of 0 in x.im
11.479 * [backup-simplify]: Simplify 0 into 0
11.479 * [taylor]: Taking taylor expansion of 0 in x.re
11.479 * [backup-simplify]: Simplify 0 into 0
11.479 * [backup-simplify]: Simplify 0 into 0
11.480 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.481 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 x.re))) into 0
11.481 * [taylor]: Taking taylor expansion of 0 in x.im
11.481 * [backup-simplify]: Simplify 0 into 0
11.481 * [taylor]: Taking taylor expansion of 0 in x.re
11.481 * [backup-simplify]: Simplify 0 into 0
11.481 * [backup-simplify]: Simplify 0 into 0
11.481 * [taylor]: Taking taylor expansion of 0 in x.re
11.481 * [backup-simplify]: Simplify 0 into 0
11.481 * [backup-simplify]: Simplify 0 into 0
11.481 * [backup-simplify]: Simplify 0 into 0
11.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0
11.482 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ x.im y.im) (/ 0 y.im)))) into 0
11.482 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
11.482 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.483 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
11.483 * [backup-simplify]: Simplify (+ 1 0) into 1
11.483 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
11.484 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* x.re (/ (/ 1/2 y.im) y.im)) (* 0 (/ 0 y.im)))) into (- (* 1/2 (/ x.re (pow y.im 2))))
11.484 * [backup-simplify]: Simplify (- (- (* 1/2 (/ x.re (pow y.im 2))))) into (* 1/2 (/ x.re (pow y.im 2)))
11.484 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ x.re (pow y.im 2)))) into (* 1/2 (/ x.re (pow y.im 2)))
11.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.485 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
11.485 * [backup-simplify]: Simplify (+ 1 0) into 1
11.486 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
11.486 * [backup-simplify]: Simplify (- (/ (* 1/2 (/ x.re (pow y.im 2))) y.im) (+ (* (* -1 (/ x.re y.im)) (/ (/ 1/2 y.im) y.im)) (* (/ x.im (pow y.im 2)) (/ 0 y.im)))) into (/ x.re (pow y.im 3))
11.486 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 3)) in y.im
11.486 * [taylor]: Taking taylor expansion of x.re in y.im
11.486 * [backup-simplify]: Simplify x.re into x.re
11.486 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im
11.486 * [taylor]: Taking taylor expansion of y.im in y.im
11.486 * [backup-simplify]: Simplify 0 into 0
11.486 * [backup-simplify]: Simplify 1 into 1
11.487 * [backup-simplify]: Simplify (* 1 1) into 1
11.487 * [backup-simplify]: Simplify (* 1 1) into 1
11.487 * [backup-simplify]: Simplify (/ x.re 1) into x.re
11.487 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.488 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0
11.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.492 * [taylor]: Taking taylor expansion of 0 in x.im
11.492 * [backup-simplify]: Simplify 0 into 0
11.492 * [taylor]: Taking taylor expansion of 0 in x.re
11.492 * [backup-simplify]: Simplify 0 into 0
11.492 * [backup-simplify]: Simplify 0 into 0
11.492 * [backup-simplify]: Simplify 0 into 0
11.493 * [backup-simplify]: Simplify (/ (- (* (/ (/ 1 y.re) (hypot (/ 1 y.re) (/ 1 y.im))) (/ 1 x.im)) (* (/ (/ 1 x.re) (hypot (/ 1 y.re) (/ 1 y.im))) (/ 1 y.im))) (hypot (/ 1 y.re) (/ 1 y.im))) into (/ (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) (hypot (/ 1 y.re) (/ 1 y.im)))
11.493 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) (hypot (/ 1 y.re) (/ 1 y.im))) in (y.re y.im x.im x.re) around 0
11.493 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) (hypot (/ 1 y.re) (/ 1 y.im))) in x.re
11.493 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) in x.re
11.493 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in x.re
11.493 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))) in x.re
11.493 * [taylor]: Taking taylor expansion of y.re in x.re
11.493 * [backup-simplify]: Simplify y.re into y.re
11.493 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ 1 y.re) (/ 1 y.im))) in x.re
11.493 * [taylor]: Taking taylor expansion of x.im in x.re
11.493 * [backup-simplify]: Simplify x.im into x.im
11.493 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.re
11.493 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.493 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
11.493 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
11.493 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
11.493 * [taylor]: Taking taylor expansion of y.re in x.re
11.493 * [backup-simplify]: Simplify y.re into y.re
11.493 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.493 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
11.493 * [taylor]: Taking taylor expansion of y.re in x.re
11.493 * [backup-simplify]: Simplify y.re into y.re
11.493 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.494 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
11.494 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
11.494 * [taylor]: Taking taylor expansion of y.im in x.re
11.494 * [backup-simplify]: Simplify y.im into y.im
11.494 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.494 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
11.494 * [taylor]: Taking taylor expansion of y.im in x.re
11.494 * [backup-simplify]: Simplify y.im into y.im
11.494 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.494 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
11.494 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.494 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.494 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.494 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
11.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.495 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.495 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.495 * [backup-simplify]: Simplify (+ 0 0) into 0
11.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.495 * [backup-simplify]: Simplify (* x.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) x.im)
11.496 * [backup-simplify]: Simplify (* y.re (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) x.im)) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (* y.re x.im))
11.496 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (* y.re x.im))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 (* y.re x.im)))
11.496 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im))) in x.re
11.496 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)) in x.re
11.496 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.re
11.496 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.496 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
11.496 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
11.496 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
11.496 * [taylor]: Taking taylor expansion of y.re in x.re
11.496 * [backup-simplify]: Simplify y.re into y.re
11.496 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.496 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
11.496 * [taylor]: Taking taylor expansion of y.re in x.re
11.496 * [backup-simplify]: Simplify y.re into y.re
11.496 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.496 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
11.496 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
11.496 * [taylor]: Taking taylor expansion of y.im in x.re
11.496 * [backup-simplify]: Simplify y.im into y.im
11.496 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.496 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
11.496 * [taylor]: Taking taylor expansion of y.im in x.re
11.496 * [backup-simplify]: Simplify y.im into y.im
11.497 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.497 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
11.497 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.497 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.497 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.497 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
11.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.497 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.498 * [backup-simplify]: Simplify (+ 0 0) into 0
11.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.498 * [taylor]: Taking taylor expansion of (* x.re y.im) in x.re
11.498 * [taylor]: Taking taylor expansion of x.re in x.re
11.498 * [backup-simplify]: Simplify 0 into 0
11.498 * [backup-simplify]: Simplify 1 into 1
11.498 * [taylor]: Taking taylor expansion of y.im in x.re
11.498 * [backup-simplify]: Simplify y.im into y.im
11.498 * [backup-simplify]: Simplify (* 0 y.im) into 0
11.498 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0) into 0
11.499 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y.im)) into y.im
11.499 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im) (* 0 0)) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im)
11.499 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im)) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.im))
11.500 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.re
11.500 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.500 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
11.500 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
11.500 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
11.500 * [taylor]: Taking taylor expansion of y.re in x.re
11.500 * [backup-simplify]: Simplify y.re into y.re
11.500 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.500 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
11.500 * [taylor]: Taking taylor expansion of y.re in x.re
11.500 * [backup-simplify]: Simplify y.re into y.re
11.500 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.500 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
11.500 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
11.500 * [taylor]: Taking taylor expansion of y.im in x.re
11.500 * [backup-simplify]: Simplify y.im into y.im
11.500 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.500 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
11.500 * [taylor]: Taking taylor expansion of y.im in x.re
11.500 * [backup-simplify]: Simplify y.im into y.im
11.500 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.500 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
11.500 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.500 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.501 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.501 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
11.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.501 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.501 * [backup-simplify]: Simplify (+ 0 0) into 0
11.502 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.502 * [backup-simplify]: Simplify (- (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.im))) into (- (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.im)))
11.502 * [backup-simplify]: Simplify (+ 0 (- (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.im)))) into (- (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.im)))
11.503 * [backup-simplify]: Simplify (/ (- (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.im))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (/ -1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.im))
11.503 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) (hypot (/ 1 y.re) (/ 1 y.im))) in x.im
11.503 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) in x.im
11.503 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in x.im
11.503 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))) in x.im
11.503 * [taylor]: Taking taylor expansion of y.re in x.im
11.503 * [backup-simplify]: Simplify y.re into y.re
11.503 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ 1 y.re) (/ 1 y.im))) in x.im
11.503 * [taylor]: Taking taylor expansion of x.im in x.im
11.503 * [backup-simplify]: Simplify 0 into 0
11.503 * [backup-simplify]: Simplify 1 into 1
11.503 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.im
11.503 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.503 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
11.503 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
11.503 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
11.503 * [taylor]: Taking taylor expansion of y.re in x.im
11.503 * [backup-simplify]: Simplify y.re into y.re
11.503 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.503 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
11.503 * [taylor]: Taking taylor expansion of y.re in x.im
11.503 * [backup-simplify]: Simplify y.re into y.re
11.503 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.503 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
11.503 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
11.503 * [taylor]: Taking taylor expansion of y.im in x.im
11.503 * [backup-simplify]: Simplify y.im into y.im
11.503 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.503 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
11.503 * [taylor]: Taking taylor expansion of y.im in x.im
11.503 * [backup-simplify]: Simplify y.im into y.im
11.503 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.503 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
11.503 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.504 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.504 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.504 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
11.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.504 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.505 * [backup-simplify]: Simplify (+ 0 0) into 0
11.505 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.505 * [backup-simplify]: Simplify (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into 0
11.505 * [backup-simplify]: Simplify (* y.re 0) into 0
11.506 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.506 * [backup-simplify]: Simplify (+ (* y.re (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 0)) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.re)
11.506 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.re)) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
11.506 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im))) in x.im
11.506 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)) in x.im
11.506 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.im
11.507 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.507 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
11.507 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
11.507 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
11.507 * [taylor]: Taking taylor expansion of y.re in x.im
11.507 * [backup-simplify]: Simplify y.re into y.re
11.507 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.507 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
11.507 * [taylor]: Taking taylor expansion of y.re in x.im
11.507 * [backup-simplify]: Simplify y.re into y.re
11.507 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.507 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
11.507 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
11.507 * [taylor]: Taking taylor expansion of y.im in x.im
11.507 * [backup-simplify]: Simplify y.im into y.im
11.507 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.507 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
11.507 * [taylor]: Taking taylor expansion of y.im in x.im
11.507 * [backup-simplify]: Simplify y.im into y.im
11.507 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.507 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
11.507 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.507 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.507 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.508 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
11.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.508 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.508 * [backup-simplify]: Simplify (+ 0 0) into 0
11.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.508 * [taylor]: Taking taylor expansion of (* x.re y.im) in x.im
11.509 * [taylor]: Taking taylor expansion of x.re in x.im
11.509 * [backup-simplify]: Simplify x.re into x.re
11.509 * [taylor]: Taking taylor expansion of y.im in x.im
11.509 * [backup-simplify]: Simplify y.im into y.im
11.509 * [backup-simplify]: Simplify (* x.re y.im) into (* y.im x.re)
11.509 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (* y.im x.re)) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (* x.re y.im))
11.509 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (* x.re y.im))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 (* x.re y.im)))
11.509 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.im
11.509 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.509 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
11.509 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
11.509 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
11.509 * [taylor]: Taking taylor expansion of y.re in x.im
11.509 * [backup-simplify]: Simplify y.re into y.re
11.509 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.509 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
11.509 * [taylor]: Taking taylor expansion of y.re in x.im
11.509 * [backup-simplify]: Simplify y.re into y.re
11.509 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.509 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
11.509 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
11.509 * [taylor]: Taking taylor expansion of y.im in x.im
11.509 * [backup-simplify]: Simplify y.im into y.im
11.510 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.510 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
11.510 * [taylor]: Taking taylor expansion of y.im in x.im
11.510 * [backup-simplify]: Simplify y.im into y.im
11.510 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.510 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
11.510 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.510 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.510 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.510 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
11.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.511 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.511 * [backup-simplify]: Simplify (+ 0 0) into 0
11.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.511 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) 0) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
11.512 * [backup-simplify]: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re))
11.512 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) (hypot (/ 1 y.re) (/ 1 y.im))) in y.im
11.512 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) in y.im
11.512 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in y.im
11.512 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))) in y.im
11.512 * [taylor]: Taking taylor expansion of y.re in y.im
11.512 * [backup-simplify]: Simplify y.re into y.re
11.512 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ 1 y.re) (/ 1 y.im))) in y.im
11.512 * [taylor]: Taking taylor expansion of x.im in y.im
11.512 * [backup-simplify]: Simplify x.im into x.im
11.512 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.im
11.512 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.512 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
11.512 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
11.512 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
11.512 * [taylor]: Taking taylor expansion of y.re in y.im
11.512 * [backup-simplify]: Simplify y.re into y.re
11.512 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.512 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
11.512 * [taylor]: Taking taylor expansion of y.re in y.im
11.512 * [backup-simplify]: Simplify y.re into y.re
11.512 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.512 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
11.512 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.512 * [taylor]: Taking taylor expansion of y.im in y.im
11.512 * [backup-simplify]: Simplify 0 into 0
11.512 * [backup-simplify]: Simplify 1 into 1
11.513 * [backup-simplify]: Simplify (/ 1 1) into 1
11.513 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.513 * [taylor]: Taking taylor expansion of y.im in y.im
11.513 * [backup-simplify]: Simplify 0 into 0
11.513 * [backup-simplify]: Simplify 1 into 1
11.513 * [backup-simplify]: Simplify (/ 1 1) into 1
11.513 * [backup-simplify]: Simplify (* 1 1) into 1
11.514 * [backup-simplify]: Simplify (+ 0 1) into 1
11.514 * [backup-simplify]: Simplify (sqrt 1) into 1
11.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.515 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.515 * [backup-simplify]: Simplify (+ 0 0) into 0
11.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.516 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.516 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
11.516 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
11.516 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im))) in y.im
11.516 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)) in y.im
11.516 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.im
11.516 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.516 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
11.516 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
11.516 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
11.516 * [taylor]: Taking taylor expansion of y.re in y.im
11.516 * [backup-simplify]: Simplify y.re into y.re
11.516 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.516 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
11.516 * [taylor]: Taking taylor expansion of y.re in y.im
11.516 * [backup-simplify]: Simplify y.re into y.re
11.516 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.516 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
11.516 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.516 * [taylor]: Taking taylor expansion of y.im in y.im
11.516 * [backup-simplify]: Simplify 0 into 0
11.516 * [backup-simplify]: Simplify 1 into 1
11.517 * [backup-simplify]: Simplify (/ 1 1) into 1
11.517 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.517 * [taylor]: Taking taylor expansion of y.im in y.im
11.517 * [backup-simplify]: Simplify 0 into 0
11.517 * [backup-simplify]: Simplify 1 into 1
11.517 * [backup-simplify]: Simplify (/ 1 1) into 1
11.517 * [backup-simplify]: Simplify (* 1 1) into 1
11.517 * [backup-simplify]: Simplify (+ 0 1) into 1
11.518 * [backup-simplify]: Simplify (sqrt 1) into 1
11.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.519 * [backup-simplify]: Simplify (+ 0 0) into 0
11.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.520 * [taylor]: Taking taylor expansion of (* x.re y.im) in y.im
11.520 * [taylor]: Taking taylor expansion of x.re in y.im
11.520 * [backup-simplify]: Simplify x.re into x.re
11.520 * [taylor]: Taking taylor expansion of y.im in y.im
11.520 * [backup-simplify]: Simplify 0 into 0
11.520 * [backup-simplify]: Simplify 1 into 1
11.520 * [backup-simplify]: Simplify (* x.re 0) into 0
11.520 * [backup-simplify]: Simplify (* 1 0) into 0
11.520 * [backup-simplify]: Simplify (+ (* x.re 1) (* 0 0)) into x.re
11.521 * [backup-simplify]: Simplify (+ (* 1 x.re) (* 0 0)) into x.re
11.521 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
11.521 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.im
11.521 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.521 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
11.521 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
11.521 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
11.521 * [taylor]: Taking taylor expansion of y.re in y.im
11.521 * [backup-simplify]: Simplify y.re into y.re
11.521 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.521 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
11.521 * [taylor]: Taking taylor expansion of y.re in y.im
11.521 * [backup-simplify]: Simplify y.re into y.re
11.521 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.521 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
11.521 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.521 * [taylor]: Taking taylor expansion of y.im in y.im
11.521 * [backup-simplify]: Simplify 0 into 0
11.521 * [backup-simplify]: Simplify 1 into 1
11.521 * [backup-simplify]: Simplify (/ 1 1) into 1
11.521 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.522 * [taylor]: Taking taylor expansion of y.im in y.im
11.522 * [backup-simplify]: Simplify 0 into 0
11.522 * [backup-simplify]: Simplify 1 into 1
11.522 * [backup-simplify]: Simplify (/ 1 1) into 1
11.522 * [backup-simplify]: Simplify (* 1 1) into 1
11.522 * [backup-simplify]: Simplify (+ 0 1) into 1
11.523 * [backup-simplify]: Simplify (sqrt 1) into 1
11.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.524 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.524 * [backup-simplify]: Simplify (+ 0 0) into 0
11.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.524 * [backup-simplify]: Simplify (- (/ 1 x.re)) into (- (/ 1 x.re))
11.525 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x.re))) into (- (/ 1 x.re))
11.525 * [backup-simplify]: Simplify (/ (- (/ 1 x.re)) 1) into (/ -1 x.re)
11.525 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) (hypot (/ 1 y.re) (/ 1 y.im))) in y.re
11.525 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) in y.re
11.525 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in y.re
11.525 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))) in y.re
11.525 * [taylor]: Taking taylor expansion of y.re in y.re
11.525 * [backup-simplify]: Simplify 0 into 0
11.525 * [backup-simplify]: Simplify 1 into 1
11.525 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ 1 y.re) (/ 1 y.im))) in y.re
11.525 * [taylor]: Taking taylor expansion of x.im in y.re
11.525 * [backup-simplify]: Simplify x.im into x.im
11.525 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
11.525 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.525 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
11.525 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
11.525 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.525 * [taylor]: Taking taylor expansion of y.re in y.re
11.525 * [backup-simplify]: Simplify 0 into 0
11.525 * [backup-simplify]: Simplify 1 into 1
11.525 * [backup-simplify]: Simplify (/ 1 1) into 1
11.525 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.525 * [taylor]: Taking taylor expansion of y.re in y.re
11.525 * [backup-simplify]: Simplify 0 into 0
11.525 * [backup-simplify]: Simplify 1 into 1
11.526 * [backup-simplify]: Simplify (/ 1 1) into 1
11.526 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
11.526 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.526 * [taylor]: Taking taylor expansion of y.im in y.re
11.526 * [backup-simplify]: Simplify y.im into y.im
11.526 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.526 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.526 * [taylor]: Taking taylor expansion of y.im in y.re
11.526 * [backup-simplify]: Simplify y.im into y.im
11.526 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.526 * [backup-simplify]: Simplify (* 1 1) into 1
11.526 * [backup-simplify]: Simplify (+ 1 0) into 1
11.527 * [backup-simplify]: Simplify (sqrt 1) into 1
11.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.528 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.528 * [backup-simplify]: Simplify (+ 0 0) into 0
11.529 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.529 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.529 * [backup-simplify]: Simplify (* 0 x.im) into 0
11.529 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0
11.529 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
11.529 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.529 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im))) in y.re
11.529 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)) in y.re
11.530 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
11.530 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.530 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
11.530 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
11.530 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.530 * [taylor]: Taking taylor expansion of y.re in y.re
11.530 * [backup-simplify]: Simplify 0 into 0
11.530 * [backup-simplify]: Simplify 1 into 1
11.530 * [backup-simplify]: Simplify (/ 1 1) into 1
11.530 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.530 * [taylor]: Taking taylor expansion of y.re in y.re
11.531 * [backup-simplify]: Simplify 0 into 0
11.531 * [backup-simplify]: Simplify 1 into 1
11.531 * [backup-simplify]: Simplify (/ 1 1) into 1
11.531 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
11.531 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.531 * [taylor]: Taking taylor expansion of y.im in y.re
11.531 * [backup-simplify]: Simplify y.im into y.im
11.531 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.531 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.531 * [taylor]: Taking taylor expansion of y.im in y.re
11.531 * [backup-simplify]: Simplify y.im into y.im
11.531 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.532 * [backup-simplify]: Simplify (* 1 1) into 1
11.532 * [backup-simplify]: Simplify (+ 1 0) into 1
11.532 * [backup-simplify]: Simplify (sqrt 1) into 1
11.533 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.535 * [backup-simplify]: Simplify (+ 0 0) into 0
11.536 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.536 * [taylor]: Taking taylor expansion of (* x.re y.im) in y.re
11.536 * [taylor]: Taking taylor expansion of x.re in y.re
11.536 * [backup-simplify]: Simplify x.re into x.re
11.536 * [taylor]: Taking taylor expansion of y.im in y.re
11.536 * [backup-simplify]: Simplify y.im into y.im
11.536 * [backup-simplify]: Simplify (* x.re y.im) into (* y.im x.re)
11.536 * [backup-simplify]: Simplify (* 1 (* y.im x.re)) into (* y.im x.re)
11.536 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
11.536 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
11.536 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.536 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
11.536 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
11.536 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.536 * [taylor]: Taking taylor expansion of y.re in y.re
11.536 * [backup-simplify]: Simplify 0 into 0
11.536 * [backup-simplify]: Simplify 1 into 1
11.537 * [backup-simplify]: Simplify (/ 1 1) into 1
11.537 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.537 * [taylor]: Taking taylor expansion of y.re in y.re
11.537 * [backup-simplify]: Simplify 0 into 0
11.537 * [backup-simplify]: Simplify 1 into 1
11.537 * [backup-simplify]: Simplify (/ 1 1) into 1
11.537 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
11.537 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.538 * [taylor]: Taking taylor expansion of y.im in y.re
11.538 * [backup-simplify]: Simplify y.im into y.im
11.538 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.538 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.538 * [taylor]: Taking taylor expansion of y.im in y.re
11.538 * [backup-simplify]: Simplify y.im into y.im
11.538 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.538 * [backup-simplify]: Simplify (* 1 1) into 1
11.539 * [backup-simplify]: Simplify (+ 1 0) into 1
11.539 * [backup-simplify]: Simplify (sqrt 1) into 1
11.540 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.542 * [backup-simplify]: Simplify (+ 0 0) into 0
11.543 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.543 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
11.543 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
11.543 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) (hypot (/ 1 y.re) (/ 1 y.im))) in y.re
11.543 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) in y.re
11.543 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in y.re
11.543 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))) in y.re
11.543 * [taylor]: Taking taylor expansion of y.re in y.re
11.543 * [backup-simplify]: Simplify 0 into 0
11.543 * [backup-simplify]: Simplify 1 into 1
11.543 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ 1 y.re) (/ 1 y.im))) in y.re
11.543 * [taylor]: Taking taylor expansion of x.im in y.re
11.543 * [backup-simplify]: Simplify x.im into x.im
11.543 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
11.544 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.544 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
11.544 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
11.544 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.544 * [taylor]: Taking taylor expansion of y.re in y.re
11.544 * [backup-simplify]: Simplify 0 into 0
11.544 * [backup-simplify]: Simplify 1 into 1
11.544 * [backup-simplify]: Simplify (/ 1 1) into 1
11.544 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.544 * [taylor]: Taking taylor expansion of y.re in y.re
11.544 * [backup-simplify]: Simplify 0 into 0
11.544 * [backup-simplify]: Simplify 1 into 1
11.545 * [backup-simplify]: Simplify (/ 1 1) into 1
11.545 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
11.545 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.545 * [taylor]: Taking taylor expansion of y.im in y.re
11.545 * [backup-simplify]: Simplify y.im into y.im
11.545 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.545 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.545 * [taylor]: Taking taylor expansion of y.im in y.re
11.545 * [backup-simplify]: Simplify y.im into y.im
11.545 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.545 * [backup-simplify]: Simplify (* 1 1) into 1
11.546 * [backup-simplify]: Simplify (+ 1 0) into 1
11.546 * [backup-simplify]: Simplify (sqrt 1) into 1
11.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.548 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.549 * [backup-simplify]: Simplify (+ 0 0) into 0
11.549 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.549 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.550 * [backup-simplify]: Simplify (* 0 x.im) into 0
11.550 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0
11.550 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
11.550 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.551 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im))) in y.re
11.551 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)) in y.re
11.551 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
11.551 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.551 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
11.551 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
11.551 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.551 * [taylor]: Taking taylor expansion of y.re in y.re
11.551 * [backup-simplify]: Simplify 0 into 0
11.551 * [backup-simplify]: Simplify 1 into 1
11.551 * [backup-simplify]: Simplify (/ 1 1) into 1
11.551 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.551 * [taylor]: Taking taylor expansion of y.re in y.re
11.551 * [backup-simplify]: Simplify 0 into 0
11.551 * [backup-simplify]: Simplify 1 into 1
11.552 * [backup-simplify]: Simplify (/ 1 1) into 1
11.552 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
11.552 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.552 * [taylor]: Taking taylor expansion of y.im in y.re
11.552 * [backup-simplify]: Simplify y.im into y.im
11.552 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.552 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.552 * [taylor]: Taking taylor expansion of y.im in y.re
11.552 * [backup-simplify]: Simplify y.im into y.im
11.552 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.552 * [backup-simplify]: Simplify (* 1 1) into 1
11.553 * [backup-simplify]: Simplify (+ 1 0) into 1
11.553 * [backup-simplify]: Simplify (sqrt 1) into 1
11.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.555 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.556 * [backup-simplify]: Simplify (+ 0 0) into 0
11.556 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.556 * [taylor]: Taking taylor expansion of (* x.re y.im) in y.re
11.556 * [taylor]: Taking taylor expansion of x.re in y.re
11.556 * [backup-simplify]: Simplify x.re into x.re
11.557 * [taylor]: Taking taylor expansion of y.im in y.re
11.557 * [backup-simplify]: Simplify y.im into y.im
11.557 * [backup-simplify]: Simplify (* x.re y.im) into (* y.im x.re)
11.557 * [backup-simplify]: Simplify (* 1 (* y.im x.re)) into (* y.im x.re)
11.557 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
11.557 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
11.557 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.557 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
11.557 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
11.557 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.557 * [taylor]: Taking taylor expansion of y.re in y.re
11.557 * [backup-simplify]: Simplify 0 into 0
11.557 * [backup-simplify]: Simplify 1 into 1
11.558 * [backup-simplify]: Simplify (/ 1 1) into 1
11.558 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.558 * [taylor]: Taking taylor expansion of y.re in y.re
11.558 * [backup-simplify]: Simplify 0 into 0
11.558 * [backup-simplify]: Simplify 1 into 1
11.558 * [backup-simplify]: Simplify (/ 1 1) into 1
11.558 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
11.558 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.558 * [taylor]: Taking taylor expansion of y.im in y.re
11.558 * [backup-simplify]: Simplify y.im into y.im
11.558 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.558 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.558 * [taylor]: Taking taylor expansion of y.im in y.re
11.558 * [backup-simplify]: Simplify y.im into y.im
11.558 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.559 * [backup-simplify]: Simplify (* 1 1) into 1
11.559 * [backup-simplify]: Simplify (+ 1 0) into 1
11.560 * [backup-simplify]: Simplify (sqrt 1) into 1
11.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.561 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.562 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.566 * [backup-simplify]: Simplify (+ 0 0) into 0
11.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.567 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
11.567 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
11.567 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.im
11.567 * [taylor]: Taking taylor expansion of x.im in y.im
11.567 * [backup-simplify]: Simplify x.im into x.im
11.567 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.567 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.567 * [taylor]: Taking taylor expansion of 0 in x.im
11.567 * [backup-simplify]: Simplify 0 into 0
11.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.569 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.569 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
11.570 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
11.570 * [backup-simplify]: Simplify (+ (* x.im (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ x.im (pow y.im 2)))
11.571 * [backup-simplify]: Simplify (+ (* 0 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 1 0) (* 0 x.im))) into 0
11.571 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.571 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
11.571 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
11.571 * [backup-simplify]: Simplify (- (/ (- (/ 1 (* y.im x.re))) 1) (+ (* (/ 1 x.im) (/ 0 1)))) into (- (/ 1 (* y.im x.re)))
11.571 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in y.im
11.571 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
11.571 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
11.571 * [taylor]: Taking taylor expansion of y.im in y.im
11.571 * [backup-simplify]: Simplify 0 into 0
11.571 * [backup-simplify]: Simplify 1 into 1
11.571 * [taylor]: Taking taylor expansion of x.re in y.im
11.571 * [backup-simplify]: Simplify x.re into x.re
11.571 * [backup-simplify]: Simplify (* 0 x.re) into 0
11.572 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
11.572 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
11.573 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0
11.573 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0
11.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
11.573 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.574 * [backup-simplify]: Simplify (- 0) into 0
11.574 * [taylor]: Taking taylor expansion of 0 in x.im
11.574 * [backup-simplify]: Simplify 0 into 0
11.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.574 * [taylor]: Taking taylor expansion of 0 in x.im
11.574 * [backup-simplify]: Simplify 0 into 0
11.574 * [taylor]: Taking taylor expansion of 0 in x.re
11.574 * [backup-simplify]: Simplify 0 into 0
11.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.576 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.576 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.576 * [backup-simplify]: Simplify (+ 0 0) into 0
11.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
11.577 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into 0
11.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 0 0) (* 0 x.im)))) into (* 1/2 (/ x.im (pow y.im 2)))
11.578 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ (* 1/2 (/ x.im (pow y.im 2))) x.im)) (* 0 (/ 0 x.im)))) into (- (* 1/2 (/ 1 (* (pow y.im 2) x.im))))
11.578 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 y.im)) into 0
11.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* y.im x.re))) into 0
11.579 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
11.579 * [backup-simplify]: Simplify (- 0) into 0
11.579 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) 0) into (- (* 1/2 (/ 1 (* (pow y.im 2) x.im))))
11.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.581 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.581 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.581 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
11.582 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
11.582 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) 1) (+ (* (/ 1 x.im) (/ (/ 1/2 (pow y.im 2)) 1)) (* (- (/ 1 (* y.im x.re))) (/ 0 1)))) into (- (/ 1 (* (pow y.im 2) x.im)))
11.582 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y.im 2) x.im))) in y.im
11.582 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.im)) in y.im
11.582 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.im) in y.im
11.582 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
11.582 * [taylor]: Taking taylor expansion of y.im in y.im
11.582 * [backup-simplify]: Simplify 0 into 0
11.582 * [backup-simplify]: Simplify 1 into 1
11.583 * [taylor]: Taking taylor expansion of x.im in y.im
11.583 * [backup-simplify]: Simplify x.im into x.im
11.583 * [backup-simplify]: Simplify (* 1 1) into 1
11.583 * [backup-simplify]: Simplify (* 1 x.im) into x.im
11.583 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.585 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
11.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
11.585 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
11.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.586 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.586 * [backup-simplify]: Simplify (- 0) into 0
11.586 * [taylor]: Taking taylor expansion of 0 in x.im
11.586 * [backup-simplify]: Simplify 0 into 0
11.587 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
11.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.588 * [backup-simplify]: Simplify (- 0) into 0
11.588 * [taylor]: Taking taylor expansion of 0 in x.im
11.588 * [backup-simplify]: Simplify 0 into 0
11.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.588 * [taylor]: Taking taylor expansion of 0 in x.im
11.588 * [backup-simplify]: Simplify 0 into 0
11.588 * [taylor]: Taking taylor expansion of 0 in x.re
11.588 * [backup-simplify]: Simplify 0 into 0
11.588 * [taylor]: Taking taylor expansion of 0 in x.re
11.588 * [backup-simplify]: Simplify 0 into 0
11.588 * [taylor]: Taking taylor expansion of 0 in x.re
11.588 * [backup-simplify]: Simplify 0 into 0
11.588 * [backup-simplify]: Simplify 0 into 0
11.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.590 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.590 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.590 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
11.591 * [backup-simplify]: Simplify (+ 0 0) into 0
11.592 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y.im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y.im 4))
11.592 * [backup-simplify]: Simplify (+ (* x.im (/ -1/8 (pow y.im 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))))) into (- (* 1/8 (/ x.im (pow y.im 4))))
11.593 * [backup-simplify]: Simplify (+ (* 0 (- (* 1/8 (/ x.im (pow y.im 4))))) (+ (* 1 0) (+ (* 0 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 0 0) (* 0 x.im))))) into 0
11.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ (* 1/2 (/ x.im (pow y.im 2))) x.im)) (* (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) (/ 0 x.im)))) into 0
11.594 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 y.im))) into 0
11.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.596 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.596 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
11.597 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
11.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/2 (pow y.im 2)) (* y.im x.re)))) into (* 1/2 (/ x.re y.im))
11.598 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ (* 1/2 (/ x.re y.im)) (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into (- (* 1/2 (/ 1 (* (pow y.im 3) x.re))))
11.598 * [backup-simplify]: Simplify (- (- (* 1/2 (/ 1 (* (pow y.im 3) x.re))))) into (* 1/2 (/ 1 (* (pow y.im 3) x.re)))
11.598 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (* (pow y.im 3) x.re)))) into (* 1/2 (/ 1 (* (pow y.im 3) x.re)))
11.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.601 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.601 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.602 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.602 * [backup-simplify]: Simplify (+ 0 0) into 0
11.603 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
11.605 * [backup-simplify]: Simplify (- (/ (* 1/2 (/ 1 (* (pow y.im 3) x.re))) 1) (+ (* (/ 1 x.im) (/ 0 1)) (* (- (/ 1 (* y.im x.re))) (/ (/ 1/2 (pow y.im 2)) 1)) (* (- (/ 1 (* (pow y.im 2) x.im))) (/ 0 1)))) into (/ 1 (* (pow y.im 3) x.re))
11.605 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 3) x.re)) in y.im
11.605 * [taylor]: Taking taylor expansion of (* (pow y.im 3) x.re) in y.im
11.605 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im
11.605 * [taylor]: Taking taylor expansion of y.im in y.im
11.605 * [backup-simplify]: Simplify 0 into 0
11.605 * [backup-simplify]: Simplify 1 into 1
11.605 * [taylor]: Taking taylor expansion of x.re in y.im
11.605 * [backup-simplify]: Simplify x.re into x.re
11.605 * [backup-simplify]: Simplify (* 1 1) into 1
11.606 * [backup-simplify]: Simplify (* 1 1) into 1
11.606 * [backup-simplify]: Simplify (* 1 x.re) into x.re
11.606 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
11.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.608 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.610 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.611 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.612 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.613 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
11.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.re)) into 0
11.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
11.617 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
11.618 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.re))) into 0
11.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.619 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.619 * [taylor]: Taking taylor expansion of 0 in x.im
11.619 * [backup-simplify]: Simplify 0 into 0
11.620 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
11.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.623 * [backup-simplify]: Simplify (- 0) into 0
11.623 * [taylor]: Taking taylor expansion of 0 in x.im
11.623 * [backup-simplify]: Simplify 0 into 0
11.624 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0
11.625 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.625 * [backup-simplify]: Simplify (- 0) into 0
11.625 * [taylor]: Taking taylor expansion of 0 in x.im
11.625 * [backup-simplify]: Simplify 0 into 0
11.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.626 * [taylor]: Taking taylor expansion of 0 in x.im
11.626 * [backup-simplify]: Simplify 0 into 0
11.626 * [taylor]: Taking taylor expansion of 0 in x.re
11.626 * [backup-simplify]: Simplify 0 into 0
11.626 * [taylor]: Taking taylor expansion of 0 in x.re
11.626 * [backup-simplify]: Simplify 0 into 0
11.626 * [taylor]: Taking taylor expansion of 0 in x.re
11.626 * [backup-simplify]: Simplify 0 into 0
11.626 * [taylor]: Taking taylor expansion of 0 in x.re
11.626 * [backup-simplify]: Simplify 0 into 0
11.626 * [taylor]: Taking taylor expansion of 0 in x.re
11.626 * [backup-simplify]: Simplify 0 into 0
11.626 * [taylor]: Taking taylor expansion of 0 in x.re
11.626 * [backup-simplify]: Simplify 0 into 0
11.626 * [backup-simplify]: Simplify 0 into 0
11.626 * [backup-simplify]: Simplify 0 into 0
11.626 * [backup-simplify]: Simplify 0 into 0
11.626 * [backup-simplify]: Simplify 0 into 0
11.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.630 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.630 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.631 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 y.im))))) into 0
11.631 * [backup-simplify]: Simplify (+ 0 0) into 0
11.631 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow y.im 4)))) (* 2 (* (/ 1/2 (pow y.im 2)) 0)))) (* 2 1)) into 0
11.632 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 (/ -1/8 (pow y.im 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))))) into 0
11.633 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- (* 1/8 (/ x.im (pow y.im 4))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 0 0) (* 0 x.im)))))) into (- (* 1/8 (/ x.im (pow y.im 4))))
11.634 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ (- (* 1/8 (/ x.im (pow y.im 4)))) x.im)) (* 0 (/ 0 x.im)) (* (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) (/ (* 1/2 (/ x.im (pow y.im 2))) x.im)) (* 0 (/ 0 x.im)))) into (* 3/8 (/ 1 (* (pow y.im 4) x.im)))
11.634 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
11.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.635 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.636 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.636 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.637 * [backup-simplify]: Simplify (+ 0 0) into 0
11.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
11.638 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1/2 (pow y.im 2)) 0) (* 0 (* y.im x.re))))) into 0
11.638 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ (* 1/2 (/ x.re y.im)) (* y.im x.re))) (* (- (* 1/2 (/ 1 (* (pow y.im 3) x.re)))) (/ 0 (* y.im x.re))))) into 0
11.638 * [backup-simplify]: Simplify (- 0) into 0
11.639 * [backup-simplify]: Simplify (+ (* 3/8 (/ 1 (* (pow y.im 4) x.im))) 0) into (* 3/8 (/ 1 (* (pow y.im 4) x.im)))
11.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.641 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.641 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
11.641 * [backup-simplify]: Simplify (+ 0 0) into 0
11.642 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y.im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y.im 4))
11.643 * [backup-simplify]: Simplify (- (/ (* 3/8 (/ 1 (* (pow y.im 4) x.im))) 1) (+ (* (/ 1 x.im) (/ (/ -1/8 (pow y.im 4)) 1)) (* (- (/ 1 (* y.im x.re))) (/ 0 1)) (* (- (/ 1 (* (pow y.im 2) x.im))) (/ (/ 1/2 (pow y.im 2)) 1)) (* (/ 1 (* (pow y.im 3) x.re)) (/ 0 1)))) into (/ 1 (* (pow y.im 4) x.im))
11.644 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 4) x.im)) in y.im
11.644 * [taylor]: Taking taylor expansion of (* (pow y.im 4) x.im) in y.im
11.644 * [taylor]: Taking taylor expansion of (pow y.im 4) in y.im
11.644 * [taylor]: Taking taylor expansion of y.im in y.im
11.644 * [backup-simplify]: Simplify 0 into 0
11.644 * [backup-simplify]: Simplify 1 into 1
11.644 * [taylor]: Taking taylor expansion of x.im in y.im
11.644 * [backup-simplify]: Simplify x.im into x.im
11.644 * [backup-simplify]: Simplify (* 1 1) into 1
11.644 * [backup-simplify]: Simplify (* 1 1) into 1
11.644 * [backup-simplify]: Simplify (* 1 x.im) into x.im
11.644 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.645 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.648 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0
11.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
11.651 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.652 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
11.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
11.653 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.654 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
11.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.654 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.654 * [taylor]: Taking taylor expansion of 0 in x.im
11.654 * [backup-simplify]: Simplify 0 into 0
11.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.656 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.657 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0
11.657 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.657 * [taylor]: Taking taylor expansion of 0 in x.im
11.657 * [backup-simplify]: Simplify 0 into 0
11.658 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0
11.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.659 * [backup-simplify]: Simplify (- 0) into 0
11.659 * [taylor]: Taking taylor expansion of 0 in x.im
11.659 * [backup-simplify]: Simplify 0 into 0
11.661 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))))) into 0
11.661 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.661 * [backup-simplify]: Simplify (- 0) into 0
11.661 * [taylor]: Taking taylor expansion of 0 in x.im
11.661 * [backup-simplify]: Simplify 0 into 0
11.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.662 * [taylor]: Taking taylor expansion of 0 in x.im
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [taylor]: Taking taylor expansion of 0 in x.re
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [taylor]: Taking taylor expansion of 0 in x.re
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [taylor]: Taking taylor expansion of 0 in x.re
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [taylor]: Taking taylor expansion of 0 in x.re
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [taylor]: Taking taylor expansion of 0 in x.re
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [taylor]: Taking taylor expansion of 0 in x.re
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [taylor]: Taking taylor expansion of 0 in x.re
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [taylor]: Taking taylor expansion of 0 in x.re
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [taylor]: Taking taylor expansion of 0 in x.re
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [taylor]: Taking taylor expansion of 0 in x.re
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [backup-simplify]: Simplify 0 into 0
11.662 * [backup-simplify]: Simplify 0 into 0
11.663 * [backup-simplify]: Simplify (/ (- (* (/ (/ 1 (- y.re)) (hypot (/ 1 (- y.re)) (/ 1 (- y.im)))) (/ 1 (- x.im))) (* (/ (/ 1 (- x.re)) (hypot (/ 1 (- y.re)) (/ 1 (- y.im)))) (/ 1 (- y.im)))) (hypot (/ 1 (- y.re)) (/ 1 (- y.im)))) into (/ (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) (hypot (/ -1 y.re) (/ -1 y.im)))
11.663 * [approximate]: Taking taylor expansion of (/ (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) (hypot (/ -1 y.re) (/ -1 y.im))) in (y.re y.im x.im x.re) around 0
11.663 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) (hypot (/ -1 y.re) (/ -1 y.im))) in x.re
11.663 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) in x.re
11.663 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in x.re
11.663 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))) in x.re
11.663 * [taylor]: Taking taylor expansion of y.re in x.re
11.663 * [backup-simplify]: Simplify y.re into y.re
11.663 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ -1 y.re) (/ -1 y.im))) in x.re
11.663 * [taylor]: Taking taylor expansion of x.im in x.re
11.663 * [backup-simplify]: Simplify x.im into x.im
11.663 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.re
11.663 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.663 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.re
11.663 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.re
11.663 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
11.663 * [taylor]: Taking taylor expansion of -1 in x.re
11.663 * [backup-simplify]: Simplify -1 into -1
11.663 * [taylor]: Taking taylor expansion of y.re in x.re
11.663 * [backup-simplify]: Simplify y.re into y.re
11.663 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.663 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
11.663 * [taylor]: Taking taylor expansion of -1 in x.re
11.663 * [backup-simplify]: Simplify -1 into -1
11.663 * [taylor]: Taking taylor expansion of y.re in x.re
11.663 * [backup-simplify]: Simplify y.re into y.re
11.663 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.663 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.re
11.663 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
11.663 * [taylor]: Taking taylor expansion of -1 in x.re
11.663 * [backup-simplify]: Simplify -1 into -1
11.663 * [taylor]: Taking taylor expansion of y.im in x.re
11.663 * [backup-simplify]: Simplify y.im into y.im
11.663 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.664 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
11.664 * [taylor]: Taking taylor expansion of -1 in x.re
11.664 * [backup-simplify]: Simplify -1 into -1
11.664 * [taylor]: Taking taylor expansion of y.im in x.re
11.664 * [backup-simplify]: Simplify y.im into y.im
11.664 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.664 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
11.664 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.664 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.664 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.664 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.664 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.664 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
11.665 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.665 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.665 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.665 * [backup-simplify]: Simplify (+ 0 0) into 0
11.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.665 * [backup-simplify]: Simplify (* x.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) x.im)
11.666 * [backup-simplify]: Simplify (* y.re (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) x.im)) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (* y.re x.im))
11.666 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (* y.re x.im))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 (* y.re x.im)))
11.666 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in x.re
11.666 * [taylor]: Taking taylor expansion of (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))) in x.re
11.666 * [taylor]: Taking taylor expansion of y.im in x.re
11.666 * [backup-simplify]: Simplify y.im into y.im
11.666 * [taylor]: Taking taylor expansion of (* x.re (hypot (/ -1 y.re) (/ -1 y.im))) in x.re
11.666 * [taylor]: Taking taylor expansion of x.re in x.re
11.666 * [backup-simplify]: Simplify 0 into 0
11.666 * [backup-simplify]: Simplify 1 into 1
11.666 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.re
11.666 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.666 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.re
11.666 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.re
11.666 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
11.666 * [taylor]: Taking taylor expansion of -1 in x.re
11.666 * [backup-simplify]: Simplify -1 into -1
11.666 * [taylor]: Taking taylor expansion of y.re in x.re
11.666 * [backup-simplify]: Simplify y.re into y.re
11.666 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.666 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
11.666 * [taylor]: Taking taylor expansion of -1 in x.re
11.666 * [backup-simplify]: Simplify -1 into -1
11.666 * [taylor]: Taking taylor expansion of y.re in x.re
11.666 * [backup-simplify]: Simplify y.re into y.re
11.667 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.667 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.re
11.667 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
11.667 * [taylor]: Taking taylor expansion of -1 in x.re
11.667 * [backup-simplify]: Simplify -1 into -1
11.667 * [taylor]: Taking taylor expansion of y.im in x.re
11.667 * [backup-simplify]: Simplify y.im into y.im
11.667 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.667 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
11.667 * [taylor]: Taking taylor expansion of -1 in x.re
11.667 * [backup-simplify]: Simplify -1 into -1
11.667 * [taylor]: Taking taylor expansion of y.im in x.re
11.667 * [backup-simplify]: Simplify y.im into y.im
11.667 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.667 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
11.667 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.667 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.667 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.667 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.667 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.668 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
11.668 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.668 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.668 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.671 * [backup-simplify]: Simplify (+ 0 0) into 0
11.671 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.672 * [backup-simplify]: Simplify (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into 0
11.672 * [backup-simplify]: Simplify (* y.im 0) into 0
11.672 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.673 * [backup-simplify]: Simplify (+ (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 0)) into (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))
11.673 * [backup-simplify]: Simplify (/ 1 (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))
11.673 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.re
11.673 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.673 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.re
11.673 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.re
11.673 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
11.673 * [taylor]: Taking taylor expansion of -1 in x.re
11.673 * [backup-simplify]: Simplify -1 into -1
11.673 * [taylor]: Taking taylor expansion of y.re in x.re
11.673 * [backup-simplify]: Simplify y.re into y.re
11.673 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.673 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
11.673 * [taylor]: Taking taylor expansion of -1 in x.re
11.673 * [backup-simplify]: Simplify -1 into -1
11.674 * [taylor]: Taking taylor expansion of y.re in x.re
11.674 * [backup-simplify]: Simplify y.re into y.re
11.674 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.674 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.re
11.674 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
11.674 * [taylor]: Taking taylor expansion of -1 in x.re
11.674 * [backup-simplify]: Simplify -1 into -1
11.674 * [taylor]: Taking taylor expansion of y.im in x.re
11.674 * [backup-simplify]: Simplify y.im into y.im
11.674 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.674 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
11.674 * [taylor]: Taking taylor expansion of -1 in x.re
11.674 * [backup-simplify]: Simplify -1 into -1
11.674 * [taylor]: Taking taylor expansion of y.im in x.re
11.674 * [backup-simplify]: Simplify y.im into y.im
11.674 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.674 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
11.674 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.674 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.674 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.674 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.674 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.675 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
11.675 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.675 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.675 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.675 * [backup-simplify]: Simplify (+ 0 0) into 0
11.675 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.676 * [backup-simplify]: Simplify (- (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (- (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))
11.676 * [backup-simplify]: Simplify (+ 0 (- (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into (- (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))
11.676 * [backup-simplify]: Simplify (/ (- (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (/ -1 (* y.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))
11.676 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) (hypot (/ -1 y.re) (/ -1 y.im))) in x.im
11.676 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) in x.im
11.677 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in x.im
11.677 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))) in x.im
11.677 * [taylor]: Taking taylor expansion of y.re in x.im
11.677 * [backup-simplify]: Simplify y.re into y.re
11.677 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ -1 y.re) (/ -1 y.im))) in x.im
11.677 * [taylor]: Taking taylor expansion of x.im in x.im
11.677 * [backup-simplify]: Simplify 0 into 0
11.677 * [backup-simplify]: Simplify 1 into 1
11.677 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.im
11.677 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.677 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.im
11.677 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
11.677 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
11.677 * [taylor]: Taking taylor expansion of -1 in x.im
11.677 * [backup-simplify]: Simplify -1 into -1
11.677 * [taylor]: Taking taylor expansion of y.re in x.im
11.677 * [backup-simplify]: Simplify y.re into y.re
11.677 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.677 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
11.677 * [taylor]: Taking taylor expansion of -1 in x.im
11.677 * [backup-simplify]: Simplify -1 into -1
11.677 * [taylor]: Taking taylor expansion of y.re in x.im
11.677 * [backup-simplify]: Simplify y.re into y.re
11.677 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.677 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.im
11.677 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
11.677 * [taylor]: Taking taylor expansion of -1 in x.im
11.677 * [backup-simplify]: Simplify -1 into -1
11.677 * [taylor]: Taking taylor expansion of y.im in x.im
11.677 * [backup-simplify]: Simplify y.im into y.im
11.677 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.677 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
11.677 * [taylor]: Taking taylor expansion of -1 in x.im
11.677 * [backup-simplify]: Simplify -1 into -1
11.677 * [taylor]: Taking taylor expansion of y.im in x.im
11.677 * [backup-simplify]: Simplify y.im into y.im
11.677 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.677 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
11.677 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.678 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.678 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.678 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.678 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.678 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
11.678 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.678 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.678 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.679 * [backup-simplify]: Simplify (+ 0 0) into 0
11.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.679 * [backup-simplify]: Simplify (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into 0
11.679 * [backup-simplify]: Simplify (* y.re 0) into 0
11.680 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.680 * [backup-simplify]: Simplify (+ (* y.re (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 0)) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.re)
11.680 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.re)) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
11.680 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in x.im
11.680 * [taylor]: Taking taylor expansion of (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))) in x.im
11.680 * [taylor]: Taking taylor expansion of y.im in x.im
11.680 * [backup-simplify]: Simplify y.im into y.im
11.680 * [taylor]: Taking taylor expansion of (* x.re (hypot (/ -1 y.re) (/ -1 y.im))) in x.im
11.680 * [taylor]: Taking taylor expansion of x.re in x.im
11.680 * [backup-simplify]: Simplify x.re into x.re
11.681 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.im
11.681 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.681 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.im
11.681 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
11.681 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
11.681 * [taylor]: Taking taylor expansion of -1 in x.im
11.681 * [backup-simplify]: Simplify -1 into -1
11.681 * [taylor]: Taking taylor expansion of y.re in x.im
11.681 * [backup-simplify]: Simplify y.re into y.re
11.681 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.681 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
11.681 * [taylor]: Taking taylor expansion of -1 in x.im
11.681 * [backup-simplify]: Simplify -1 into -1
11.681 * [taylor]: Taking taylor expansion of y.re in x.im
11.681 * [backup-simplify]: Simplify y.re into y.re
11.681 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.681 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.im
11.681 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
11.681 * [taylor]: Taking taylor expansion of -1 in x.im
11.681 * [backup-simplify]: Simplify -1 into -1
11.681 * [taylor]: Taking taylor expansion of y.im in x.im
11.681 * [backup-simplify]: Simplify y.im into y.im
11.681 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.681 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
11.681 * [taylor]: Taking taylor expansion of -1 in x.im
11.681 * [backup-simplify]: Simplify -1 into -1
11.681 * [taylor]: Taking taylor expansion of y.im in x.im
11.681 * [backup-simplify]: Simplify y.im into y.im
11.681 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.681 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
11.681 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.681 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.682 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.682 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.682 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.682 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
11.682 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.682 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.682 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.683 * [backup-simplify]: Simplify (+ 0 0) into 0
11.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.683 * [backup-simplify]: Simplify (* x.re (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) x.re)
11.683 * [backup-simplify]: Simplify (* y.im (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) x.re)) into (* (* y.im x.re) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))
11.684 * [backup-simplify]: Simplify (/ 1 (* (* y.im x.re) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))
11.684 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.im
11.684 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.684 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.im
11.684 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
11.684 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
11.684 * [taylor]: Taking taylor expansion of -1 in x.im
11.684 * [backup-simplify]: Simplify -1 into -1
11.684 * [taylor]: Taking taylor expansion of y.re in x.im
11.684 * [backup-simplify]: Simplify y.re into y.re
11.684 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.684 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
11.684 * [taylor]: Taking taylor expansion of -1 in x.im
11.684 * [backup-simplify]: Simplify -1 into -1
11.684 * [taylor]: Taking taylor expansion of y.re in x.im
11.684 * [backup-simplify]: Simplify y.re into y.re
11.684 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.684 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.im
11.684 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
11.684 * [taylor]: Taking taylor expansion of -1 in x.im
11.684 * [backup-simplify]: Simplify -1 into -1
11.684 * [taylor]: Taking taylor expansion of y.im in x.im
11.684 * [backup-simplify]: Simplify y.im into y.im
11.684 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.684 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
11.684 * [taylor]: Taking taylor expansion of -1 in x.im
11.684 * [backup-simplify]: Simplify -1 into -1
11.684 * [taylor]: Taking taylor expansion of y.im in x.im
11.684 * [backup-simplify]: Simplify y.im into y.im
11.684 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.684 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
11.684 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.685 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.685 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.685 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.685 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.685 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
11.685 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.685 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.685 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.686 * [backup-simplify]: Simplify (+ 0 0) into 0
11.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.687 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) 0) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
11.687 * [backup-simplify]: Simplify (/ (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re))
11.687 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) (hypot (/ -1 y.re) (/ -1 y.im))) in y.im
11.687 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) in y.im
11.688 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in y.im
11.688 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))) in y.im
11.688 * [taylor]: Taking taylor expansion of y.re in y.im
11.688 * [backup-simplify]: Simplify y.re into y.re
11.688 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ -1 y.re) (/ -1 y.im))) in y.im
11.688 * [taylor]: Taking taylor expansion of x.im in y.im
11.688 * [backup-simplify]: Simplify x.im into x.im
11.688 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.im
11.688 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.688 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.im
11.688 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.im
11.688 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
11.688 * [taylor]: Taking taylor expansion of -1 in y.im
11.688 * [backup-simplify]: Simplify -1 into -1
11.688 * [taylor]: Taking taylor expansion of y.re in y.im
11.688 * [backup-simplify]: Simplify y.re into y.re
11.688 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.688 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
11.688 * [taylor]: Taking taylor expansion of -1 in y.im
11.688 * [backup-simplify]: Simplify -1 into -1
11.688 * [taylor]: Taking taylor expansion of y.re in y.im
11.688 * [backup-simplify]: Simplify y.re into y.re
11.688 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.688 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.im
11.688 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
11.688 * [taylor]: Taking taylor expansion of -1 in y.im
11.688 * [backup-simplify]: Simplify -1 into -1
11.688 * [taylor]: Taking taylor expansion of y.im in y.im
11.688 * [backup-simplify]: Simplify 0 into 0
11.689 * [backup-simplify]: Simplify 1 into 1
11.689 * [backup-simplify]: Simplify (/ -1 1) into -1
11.689 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
11.689 * [taylor]: Taking taylor expansion of -1 in y.im
11.689 * [backup-simplify]: Simplify -1 into -1
11.689 * [taylor]: Taking taylor expansion of y.im in y.im
11.689 * [backup-simplify]: Simplify 0 into 0
11.689 * [backup-simplify]: Simplify 1 into 1
11.690 * [backup-simplify]: Simplify (/ -1 1) into -1
11.690 * [backup-simplify]: Simplify (* -1 -1) into 1
11.691 * [backup-simplify]: Simplify (+ 0 1) into 1
11.691 * [backup-simplify]: Simplify (sqrt 1) into 1
11.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.693 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.693 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.694 * [backup-simplify]: Simplify (+ 0 0) into 0
11.694 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.694 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.694 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
11.694 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
11.694 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in y.im
11.694 * [taylor]: Taking taylor expansion of (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))) in y.im
11.694 * [taylor]: Taking taylor expansion of y.im in y.im
11.694 * [backup-simplify]: Simplify 0 into 0
11.694 * [backup-simplify]: Simplify 1 into 1
11.694 * [taylor]: Taking taylor expansion of (* x.re (hypot (/ -1 y.re) (/ -1 y.im))) in y.im
11.694 * [taylor]: Taking taylor expansion of x.re in y.im
11.694 * [backup-simplify]: Simplify x.re into x.re
11.694 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.im
11.694 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.694 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.im
11.695 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.im
11.695 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
11.695 * [taylor]: Taking taylor expansion of -1 in y.im
11.695 * [backup-simplify]: Simplify -1 into -1
11.695 * [taylor]: Taking taylor expansion of y.re in y.im
11.695 * [backup-simplify]: Simplify y.re into y.re
11.695 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.695 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
11.695 * [taylor]: Taking taylor expansion of -1 in y.im
11.695 * [backup-simplify]: Simplify -1 into -1
11.695 * [taylor]: Taking taylor expansion of y.re in y.im
11.695 * [backup-simplify]: Simplify y.re into y.re
11.695 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.695 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.im
11.695 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
11.695 * [taylor]: Taking taylor expansion of -1 in y.im
11.695 * [backup-simplify]: Simplify -1 into -1
11.695 * [taylor]: Taking taylor expansion of y.im in y.im
11.695 * [backup-simplify]: Simplify 0 into 0
11.695 * [backup-simplify]: Simplify 1 into 1
11.695 * [backup-simplify]: Simplify (/ -1 1) into -1
11.695 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
11.695 * [taylor]: Taking taylor expansion of -1 in y.im
11.695 * [backup-simplify]: Simplify -1 into -1
11.695 * [taylor]: Taking taylor expansion of y.im in y.im
11.695 * [backup-simplify]: Simplify 0 into 0
11.695 * [backup-simplify]: Simplify 1 into 1
11.696 * [backup-simplify]: Simplify (/ -1 1) into -1
11.696 * [backup-simplify]: Simplify (* -1 -1) into 1
11.696 * [backup-simplify]: Simplify (+ 0 1) into 1
11.696 * [backup-simplify]: Simplify (sqrt 1) into 1
11.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.698 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.698 * [backup-simplify]: Simplify (+ 0 0) into 0
11.698 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.698 * [backup-simplify]: Simplify (* x.re 1) into x.re
11.698 * [backup-simplify]: Simplify (* 0 x.re) into 0
11.699 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 1)) into 0
11.699 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
11.699 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
11.699 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.im
11.699 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.699 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.im
11.699 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.im
11.699 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
11.699 * [taylor]: Taking taylor expansion of -1 in y.im
11.699 * [backup-simplify]: Simplify -1 into -1
11.699 * [taylor]: Taking taylor expansion of y.re in y.im
11.699 * [backup-simplify]: Simplify y.re into y.re
11.699 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.699 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
11.699 * [taylor]: Taking taylor expansion of -1 in y.im
11.700 * [backup-simplify]: Simplify -1 into -1
11.700 * [taylor]: Taking taylor expansion of y.re in y.im
11.700 * [backup-simplify]: Simplify y.re into y.re
11.700 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.700 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.im
11.700 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
11.700 * [taylor]: Taking taylor expansion of -1 in y.im
11.700 * [backup-simplify]: Simplify -1 into -1
11.700 * [taylor]: Taking taylor expansion of y.im in y.im
11.700 * [backup-simplify]: Simplify 0 into 0
11.700 * [backup-simplify]: Simplify 1 into 1
11.700 * [backup-simplify]: Simplify (/ -1 1) into -1
11.700 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
11.700 * [taylor]: Taking taylor expansion of -1 in y.im
11.700 * [backup-simplify]: Simplify -1 into -1
11.700 * [taylor]: Taking taylor expansion of y.im in y.im
11.700 * [backup-simplify]: Simplify 0 into 0
11.700 * [backup-simplify]: Simplify 1 into 1
11.700 * [backup-simplify]: Simplify (/ -1 1) into -1
11.701 * [backup-simplify]: Simplify (* -1 -1) into 1
11.701 * [backup-simplify]: Simplify (+ 0 1) into 1
11.701 * [backup-simplify]: Simplify (sqrt 1) into 1
11.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.702 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.702 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.703 * [backup-simplify]: Simplify (+ 0 0) into 0
11.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.703 * [backup-simplify]: Simplify (- (/ 1 x.re)) into (- (/ 1 x.re))
11.703 * [backup-simplify]: Simplify (+ 0 (- (/ 1 x.re))) into (- (/ 1 x.re))
11.703 * [backup-simplify]: Simplify (/ (- (/ 1 x.re)) 1) into (/ -1 x.re)
11.703 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
11.703 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) in y.re
11.703 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in y.re
11.703 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))) in y.re
11.703 * [taylor]: Taking taylor expansion of y.re in y.re
11.703 * [backup-simplify]: Simplify 0 into 0
11.703 * [backup-simplify]: Simplify 1 into 1
11.703 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
11.704 * [taylor]: Taking taylor expansion of x.im in y.re
11.704 * [backup-simplify]: Simplify x.im into x.im
11.704 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
11.704 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.704 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
11.704 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
11.704 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.704 * [taylor]: Taking taylor expansion of -1 in y.re
11.704 * [backup-simplify]: Simplify -1 into -1
11.704 * [taylor]: Taking taylor expansion of y.re in y.re
11.704 * [backup-simplify]: Simplify 0 into 0
11.704 * [backup-simplify]: Simplify 1 into 1
11.704 * [backup-simplify]: Simplify (/ -1 1) into -1
11.704 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.704 * [taylor]: Taking taylor expansion of -1 in y.re
11.704 * [backup-simplify]: Simplify -1 into -1
11.704 * [taylor]: Taking taylor expansion of y.re in y.re
11.704 * [backup-simplify]: Simplify 0 into 0
11.704 * [backup-simplify]: Simplify 1 into 1
11.704 * [backup-simplify]: Simplify (/ -1 1) into -1
11.704 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
11.705 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.705 * [taylor]: Taking taylor expansion of -1 in y.re
11.705 * [backup-simplify]: Simplify -1 into -1
11.705 * [taylor]: Taking taylor expansion of y.im in y.re
11.705 * [backup-simplify]: Simplify y.im into y.im
11.705 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.705 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.705 * [taylor]: Taking taylor expansion of -1 in y.re
11.705 * [backup-simplify]: Simplify -1 into -1
11.705 * [taylor]: Taking taylor expansion of y.im in y.re
11.705 * [backup-simplify]: Simplify y.im into y.im
11.705 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.705 * [backup-simplify]: Simplify (* -1 -1) into 1
11.705 * [backup-simplify]: Simplify (+ 1 0) into 1
11.706 * [backup-simplify]: Simplify (sqrt 1) into 1
11.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.707 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.707 * [backup-simplify]: Simplify (+ 0 0) into 0
11.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.708 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.708 * [backup-simplify]: Simplify (* 0 x.im) into 0
11.708 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0
11.708 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
11.708 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.708 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in y.re
11.708 * [taylor]: Taking taylor expansion of (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))) in y.re
11.708 * [taylor]: Taking taylor expansion of y.im in y.re
11.708 * [backup-simplify]: Simplify y.im into y.im
11.708 * [taylor]: Taking taylor expansion of (* x.re (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
11.708 * [taylor]: Taking taylor expansion of x.re in y.re
11.708 * [backup-simplify]: Simplify x.re into x.re
11.708 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
11.708 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.709 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
11.709 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
11.709 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.709 * [taylor]: Taking taylor expansion of -1 in y.re
11.709 * [backup-simplify]: Simplify -1 into -1
11.709 * [taylor]: Taking taylor expansion of y.re in y.re
11.709 * [backup-simplify]: Simplify 0 into 0
11.709 * [backup-simplify]: Simplify 1 into 1
11.709 * [backup-simplify]: Simplify (/ -1 1) into -1
11.709 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.709 * [taylor]: Taking taylor expansion of -1 in y.re
11.709 * [backup-simplify]: Simplify -1 into -1
11.709 * [taylor]: Taking taylor expansion of y.re in y.re
11.709 * [backup-simplify]: Simplify 0 into 0
11.709 * [backup-simplify]: Simplify 1 into 1
11.709 * [backup-simplify]: Simplify (/ -1 1) into -1
11.709 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
11.709 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.709 * [taylor]: Taking taylor expansion of -1 in y.re
11.709 * [backup-simplify]: Simplify -1 into -1
11.709 * [taylor]: Taking taylor expansion of y.im in y.re
11.709 * [backup-simplify]: Simplify y.im into y.im
11.709 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.709 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.709 * [taylor]: Taking taylor expansion of -1 in y.re
11.710 * [backup-simplify]: Simplify -1 into -1
11.710 * [taylor]: Taking taylor expansion of y.im in y.re
11.710 * [backup-simplify]: Simplify y.im into y.im
11.710 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.710 * [backup-simplify]: Simplify (* -1 -1) into 1
11.710 * [backup-simplify]: Simplify (+ 1 0) into 1
11.710 * [backup-simplify]: Simplify (sqrt 1) into 1
11.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.712 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.712 * [backup-simplify]: Simplify (+ 0 0) into 0
11.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.712 * [backup-simplify]: Simplify (* x.re 1) into x.re
11.713 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
11.713 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
11.713 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
11.713 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.713 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
11.713 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
11.713 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.713 * [taylor]: Taking taylor expansion of -1 in y.re
11.713 * [backup-simplify]: Simplify -1 into -1
11.713 * [taylor]: Taking taylor expansion of y.re in y.re
11.713 * [backup-simplify]: Simplify 0 into 0
11.713 * [backup-simplify]: Simplify 1 into 1
11.713 * [backup-simplify]: Simplify (/ -1 1) into -1
11.713 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.713 * [taylor]: Taking taylor expansion of -1 in y.re
11.713 * [backup-simplify]: Simplify -1 into -1
11.713 * [taylor]: Taking taylor expansion of y.re in y.re
11.713 * [backup-simplify]: Simplify 0 into 0
11.713 * [backup-simplify]: Simplify 1 into 1
11.714 * [backup-simplify]: Simplify (/ -1 1) into -1
11.714 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
11.714 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.714 * [taylor]: Taking taylor expansion of -1 in y.re
11.714 * [backup-simplify]: Simplify -1 into -1
11.714 * [taylor]: Taking taylor expansion of y.im in y.re
11.714 * [backup-simplify]: Simplify y.im into y.im
11.714 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.714 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.714 * [taylor]: Taking taylor expansion of -1 in y.re
11.714 * [backup-simplify]: Simplify -1 into -1
11.714 * [taylor]: Taking taylor expansion of y.im in y.re
11.714 * [backup-simplify]: Simplify y.im into y.im
11.714 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.714 * [backup-simplify]: Simplify (* -1 -1) into 1
11.714 * [backup-simplify]: Simplify (+ 1 0) into 1
11.715 * [backup-simplify]: Simplify (sqrt 1) into 1
11.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.716 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.716 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.716 * [backup-simplify]: Simplify (+ 0 0) into 0
11.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.717 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
11.717 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
11.717 * [taylor]: Taking taylor expansion of (/ (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
11.717 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) in y.re
11.717 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in y.re
11.717 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))) in y.re
11.717 * [taylor]: Taking taylor expansion of y.re in y.re
11.717 * [backup-simplify]: Simplify 0 into 0
11.717 * [backup-simplify]: Simplify 1 into 1
11.717 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
11.717 * [taylor]: Taking taylor expansion of x.im in y.re
11.717 * [backup-simplify]: Simplify x.im into x.im
11.717 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
11.717 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.717 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
11.717 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
11.717 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.717 * [taylor]: Taking taylor expansion of -1 in y.re
11.717 * [backup-simplify]: Simplify -1 into -1
11.717 * [taylor]: Taking taylor expansion of y.re in y.re
11.717 * [backup-simplify]: Simplify 0 into 0
11.717 * [backup-simplify]: Simplify 1 into 1
11.717 * [backup-simplify]: Simplify (/ -1 1) into -1
11.717 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.717 * [taylor]: Taking taylor expansion of -1 in y.re
11.717 * [backup-simplify]: Simplify -1 into -1
11.717 * [taylor]: Taking taylor expansion of y.re in y.re
11.718 * [backup-simplify]: Simplify 0 into 0
11.718 * [backup-simplify]: Simplify 1 into 1
11.718 * [backup-simplify]: Simplify (/ -1 1) into -1
11.718 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
11.718 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.718 * [taylor]: Taking taylor expansion of -1 in y.re
11.718 * [backup-simplify]: Simplify -1 into -1
11.718 * [taylor]: Taking taylor expansion of y.im in y.re
11.718 * [backup-simplify]: Simplify y.im into y.im
11.718 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.718 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.718 * [taylor]: Taking taylor expansion of -1 in y.re
11.718 * [backup-simplify]: Simplify -1 into -1
11.718 * [taylor]: Taking taylor expansion of y.im in y.re
11.718 * [backup-simplify]: Simplify y.im into y.im
11.718 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.718 * [backup-simplify]: Simplify (* -1 -1) into 1
11.719 * [backup-simplify]: Simplify (+ 1 0) into 1
11.719 * [backup-simplify]: Simplify (sqrt 1) into 1
11.719 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.720 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.720 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.721 * [backup-simplify]: Simplify (+ 0 0) into 0
11.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.721 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.721 * [backup-simplify]: Simplify (* 0 x.im) into 0
11.721 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0
11.722 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
11.722 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.722 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in y.re
11.722 * [taylor]: Taking taylor expansion of (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))) in y.re
11.722 * [taylor]: Taking taylor expansion of y.im in y.re
11.722 * [backup-simplify]: Simplify y.im into y.im
11.722 * [taylor]: Taking taylor expansion of (* x.re (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
11.722 * [taylor]: Taking taylor expansion of x.re in y.re
11.722 * [backup-simplify]: Simplify x.re into x.re
11.722 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
11.722 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.722 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
11.722 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
11.722 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.722 * [taylor]: Taking taylor expansion of -1 in y.re
11.722 * [backup-simplify]: Simplify -1 into -1
11.722 * [taylor]: Taking taylor expansion of y.re in y.re
11.722 * [backup-simplify]: Simplify 0 into 0
11.722 * [backup-simplify]: Simplify 1 into 1
11.722 * [backup-simplify]: Simplify (/ -1 1) into -1
11.722 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.722 * [taylor]: Taking taylor expansion of -1 in y.re
11.722 * [backup-simplify]: Simplify -1 into -1
11.722 * [taylor]: Taking taylor expansion of y.re in y.re
11.722 * [backup-simplify]: Simplify 0 into 0
11.722 * [backup-simplify]: Simplify 1 into 1
11.723 * [backup-simplify]: Simplify (/ -1 1) into -1
11.723 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
11.723 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.723 * [taylor]: Taking taylor expansion of -1 in y.re
11.723 * [backup-simplify]: Simplify -1 into -1
11.723 * [taylor]: Taking taylor expansion of y.im in y.re
11.723 * [backup-simplify]: Simplify y.im into y.im
11.723 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.723 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.723 * [taylor]: Taking taylor expansion of -1 in y.re
11.723 * [backup-simplify]: Simplify -1 into -1
11.723 * [taylor]: Taking taylor expansion of y.im in y.re
11.723 * [backup-simplify]: Simplify y.im into y.im
11.723 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.723 * [backup-simplify]: Simplify (* -1 -1) into 1
11.724 * [backup-simplify]: Simplify (+ 1 0) into 1
11.724 * [backup-simplify]: Simplify (sqrt 1) into 1
11.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.725 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.725 * [backup-simplify]: Simplify (+ 0 0) into 0
11.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.726 * [backup-simplify]: Simplify (* x.re 1) into x.re
11.726 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
11.726 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
11.726 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
11.727 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.727 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
11.727 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
11.727 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.727 * [taylor]: Taking taylor expansion of -1 in y.re
11.727 * [backup-simplify]: Simplify -1 into -1
11.727 * [taylor]: Taking taylor expansion of y.re in y.re
11.727 * [backup-simplify]: Simplify 0 into 0
11.727 * [backup-simplify]: Simplify 1 into 1
11.727 * [backup-simplify]: Simplify (/ -1 1) into -1
11.727 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
11.727 * [taylor]: Taking taylor expansion of -1 in y.re
11.727 * [backup-simplify]: Simplify -1 into -1
11.727 * [taylor]: Taking taylor expansion of y.re in y.re
11.727 * [backup-simplify]: Simplify 0 into 0
11.727 * [backup-simplify]: Simplify 1 into 1
11.728 * [backup-simplify]: Simplify (/ -1 1) into -1
11.728 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
11.728 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.728 * [taylor]: Taking taylor expansion of -1 in y.re
11.728 * [backup-simplify]: Simplify -1 into -1
11.728 * [taylor]: Taking taylor expansion of y.im in y.re
11.728 * [backup-simplify]: Simplify y.im into y.im
11.728 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.728 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
11.728 * [taylor]: Taking taylor expansion of -1 in y.re
11.728 * [backup-simplify]: Simplify -1 into -1
11.728 * [taylor]: Taking taylor expansion of y.im in y.re
11.728 * [backup-simplify]: Simplify y.im into y.im
11.728 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.729 * [backup-simplify]: Simplify (* -1 -1) into 1
11.729 * [backup-simplify]: Simplify (+ 1 0) into 1
11.729 * [backup-simplify]: Simplify (sqrt 1) into 1
11.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
11.732 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
11.732 * [backup-simplify]: Simplify (+ 0 0) into 0
11.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.733 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
11.733 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
11.734 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.im
11.734 * [taylor]: Taking taylor expansion of x.im in y.im
11.734 * [backup-simplify]: Simplify x.im into x.im
11.734 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.734 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.734 * [taylor]: Taking taylor expansion of 0 in x.im
11.734 * [backup-simplify]: Simplify 0 into 0
11.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.736 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.737 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.737 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.737 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
11.739 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
11.740 * [backup-simplify]: Simplify (+ (* x.im (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ x.im (pow y.im 2)))
11.740 * [backup-simplify]: Simplify (+ (* 0 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 1 0) (* 0 x.im))) into 0
11.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.741 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
11.741 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
11.742 * [backup-simplify]: Simplify (- (/ (- (/ 1 (* y.im x.re))) 1) (+ (* (/ 1 x.im) (/ 0 1)))) into (- (/ 1 (* y.im x.re)))
11.742 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in y.im
11.742 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
11.742 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
11.742 * [taylor]: Taking taylor expansion of y.im in y.im
11.742 * [backup-simplify]: Simplify 0 into 0
11.742 * [backup-simplify]: Simplify 1 into 1
11.742 * [taylor]: Taking taylor expansion of x.re in y.im
11.742 * [backup-simplify]: Simplify x.re into x.re
11.742 * [backup-simplify]: Simplify (* 0 x.re) into 0
11.742 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
11.742 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
11.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0
11.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0
11.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
11.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.745 * [backup-simplify]: Simplify (- 0) into 0
11.745 * [taylor]: Taking taylor expansion of 0 in x.im
11.745 * [backup-simplify]: Simplify 0 into 0
11.745 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.746 * [taylor]: Taking taylor expansion of 0 in x.im
11.746 * [backup-simplify]: Simplify 0 into 0
11.746 * [taylor]: Taking taylor expansion of 0 in x.re
11.746 * [backup-simplify]: Simplify 0 into 0
11.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.749 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
11.749 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.749 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.749 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.750 * [backup-simplify]: Simplify (+ 0 0) into 0
11.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
11.751 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into 0
11.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 0 0) (* 0 x.im)))) into (* 1/2 (/ x.im (pow y.im 2)))
11.753 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ (* 1/2 (/ x.im (pow y.im 2))) x.im)) (* 0 (/ 0 x.im)))) into (- (* 1/2 (/ 1 (* (pow y.im 2) x.im))))
11.753 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 1)) into 0
11.754 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
11.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
11.754 * [backup-simplify]: Simplify (- 0) into 0
11.755 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) 0) into (- (* 1/2 (/ 1 (* (pow y.im 2) x.im))))
11.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.757 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.758 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.758 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
11.759 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
11.760 * [backup-simplify]: Simplify (- (/ (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) 1) (+ (* (/ 1 x.im) (/ (/ 1/2 (pow y.im 2)) 1)) (* (- (/ 1 (* y.im x.re))) (/ 0 1)))) into (- (/ 1 (* (pow y.im 2) x.im)))
11.760 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y.im 2) x.im))) in y.im
11.760 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.im)) in y.im
11.760 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.im) in y.im
11.761 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
11.761 * [taylor]: Taking taylor expansion of y.im in y.im
11.761 * [backup-simplify]: Simplify 0 into 0
11.761 * [backup-simplify]: Simplify 1 into 1
11.761 * [taylor]: Taking taylor expansion of x.im in y.im
11.761 * [backup-simplify]: Simplify x.im into x.im
11.761 * [backup-simplify]: Simplify (* 1 1) into 1
11.761 * [backup-simplify]: Simplify (* 1 x.im) into x.im
11.761 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.763 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.764 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
11.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
11.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
11.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.767 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.767 * [backup-simplify]: Simplify (- 0) into 0
11.767 * [taylor]: Taking taylor expansion of 0 in x.im
11.767 * [backup-simplify]: Simplify 0 into 0
11.769 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
11.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.769 * [backup-simplify]: Simplify (- 0) into 0
11.769 * [taylor]: Taking taylor expansion of 0 in x.im
11.769 * [backup-simplify]: Simplify 0 into 0
11.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.770 * [taylor]: Taking taylor expansion of 0 in x.im
11.770 * [backup-simplify]: Simplify 0 into 0
11.770 * [taylor]: Taking taylor expansion of 0 in x.re
11.770 * [backup-simplify]: Simplify 0 into 0
11.770 * [taylor]: Taking taylor expansion of 0 in x.re
11.770 * [backup-simplify]: Simplify 0 into 0
11.770 * [taylor]: Taking taylor expansion of 0 in x.re
11.770 * [backup-simplify]: Simplify 0 into 0
11.770 * [backup-simplify]: Simplify 0 into 0
11.771 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.773 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
11.774 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.774 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.774 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
11.775 * [backup-simplify]: Simplify (+ 0 0) into 0
11.776 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y.im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y.im 4))
11.778 * [backup-simplify]: Simplify (+ (* x.im (/ -1/8 (pow y.im 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))))) into (- (* 1/8 (/ x.im (pow y.im 4))))
11.779 * [backup-simplify]: Simplify (+ (* 0 (- (* 1/8 (/ x.im (pow y.im 4))))) (+ (* 1 0) (+ (* 0 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 0 0) (* 0 x.im))))) into 0
11.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ (* 1/2 (/ x.im (pow y.im 2))) x.im)) (* (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) (/ 0 x.im)))) into 0
11.781 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.782 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.783 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
11.783 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.784 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
11.785 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
11.786 * [backup-simplify]: Simplify (+ (* x.re (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ x.re (pow y.im 2)))
11.786 * [backup-simplify]: Simplify (+ (* y.im (* 1/2 (/ x.re (pow y.im 2)))) (+ (* 0 0) (* 0 x.re))) into (* 1/2 (/ x.re y.im))
11.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ (* 1/2 (/ x.re y.im)) (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into (- (* 1/2 (/ 1 (* (pow y.im 3) x.re))))
11.787 * [backup-simplify]: Simplify (- (- (* 1/2 (/ 1 (* (pow y.im 3) x.re))))) into (* 1/2 (/ 1 (* (pow y.im 3) x.re)))
11.787 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (* (pow y.im 3) x.re)))) into (* 1/2 (/ 1 (* (pow y.im 3) x.re)))
11.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.788 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.788 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
11.789 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.789 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.789 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.789 * [backup-simplify]: Simplify (+ 0 0) into 0
11.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
11.790 * [backup-simplify]: Simplify (- (/ (* 1/2 (/ 1 (* (pow y.im 3) x.re))) 1) (+ (* (/ 1 x.im) (/ 0 1)) (* (- (/ 1 (* y.im x.re))) (/ (/ 1/2 (pow y.im 2)) 1)) (* (- (/ 1 (* (pow y.im 2) x.im))) (/ 0 1)))) into (/ 1 (* (pow y.im 3) x.re))
11.790 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 3) x.re)) in y.im
11.790 * [taylor]: Taking taylor expansion of (* (pow y.im 3) x.re) in y.im
11.791 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im
11.791 * [taylor]: Taking taylor expansion of y.im in y.im
11.791 * [backup-simplify]: Simplify 0 into 0
11.791 * [backup-simplify]: Simplify 1 into 1
11.791 * [taylor]: Taking taylor expansion of x.re in y.im
11.791 * [backup-simplify]: Simplify x.re into x.re
11.791 * [backup-simplify]: Simplify (* 1 1) into 1
11.791 * [backup-simplify]: Simplify (* 1 1) into 1
11.791 * [backup-simplify]: Simplify (* 1 x.re) into x.re
11.791 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
11.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.799 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.800 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.801 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
11.801 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.re)) into 0
11.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
11.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
11.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.re))) into 0
11.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.803 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.803 * [taylor]: Taking taylor expansion of 0 in x.im
11.803 * [backup-simplify]: Simplify 0 into 0
11.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
11.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.805 * [backup-simplify]: Simplify (- 0) into 0
11.805 * [taylor]: Taking taylor expansion of 0 in x.im
11.805 * [backup-simplify]: Simplify 0 into 0
11.806 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0
11.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.806 * [backup-simplify]: Simplify (- 0) into 0
11.806 * [taylor]: Taking taylor expansion of 0 in x.im
11.806 * [backup-simplify]: Simplify 0 into 0
11.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.807 * [taylor]: Taking taylor expansion of 0 in x.im
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [taylor]: Taking taylor expansion of 0 in x.re
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [taylor]: Taking taylor expansion of 0 in x.re
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [taylor]: Taking taylor expansion of 0 in x.re
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [taylor]: Taking taylor expansion of 0 in x.re
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [taylor]: Taking taylor expansion of 0 in x.re
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [taylor]: Taking taylor expansion of 0 in x.re
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [backup-simplify]: Simplify 0 into 0
11.807 * [backup-simplify]: Simplify 0 into 0
11.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.809 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))))) into 0
11.809 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.809 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.810 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ -1 y.im))))) into 0
11.810 * [backup-simplify]: Simplify (+ 0 0) into 0
11.810 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow y.im 4)))) (* 2 (* (/ 1/2 (pow y.im 2)) 0)))) (* 2 1)) into 0
11.811 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 (/ -1/8 (pow y.im 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))))) into 0
11.812 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (- (* 1/8 (/ x.im (pow y.im 4))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 0 0) (* 0 x.im)))))) into (- (* 1/8 (/ x.im (pow y.im 4))))
11.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ (- (* 1/8 (/ x.im (pow y.im 4)))) x.im)) (* 0 (/ 0 x.im)) (* (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) (/ (* 1/2 (/ x.im (pow y.im 2))) x.im)) (* 0 (/ 0 x.im)))) into (* 3/8 (/ 1 (* (pow y.im 4) x.im)))
11.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.815 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
11.815 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.815 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.815 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.815 * [backup-simplify]: Simplify (+ 0 0) into 0
11.816 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
11.816 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into 0
11.817 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 (* 1/2 (/ x.re (pow y.im 2)))) (+ (* 0 0) (* 0 x.re)))) into 0
11.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))) (* 0 (/ (* 1/2 (/ x.re y.im)) (* y.im x.re))) (* (- (* 1/2 (/ 1 (* (pow y.im 3) x.re)))) (/ 0 (* y.im x.re))))) into 0
11.817 * [backup-simplify]: Simplify (- 0) into 0
11.817 * [backup-simplify]: Simplify (+ (* 3/8 (/ 1 (* (pow y.im 4) x.im))) 0) into (* 3/8 (/ 1 (* (pow y.im 4) x.im)))
11.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.819 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
11.819 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.820 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.820 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
11.820 * [backup-simplify]: Simplify (+ 0 0) into 0
11.821 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y.im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y.im 4))
11.822 * [backup-simplify]: Simplify (- (/ (* 3/8 (/ 1 (* (pow y.im 4) x.im))) 1) (+ (* (/ 1 x.im) (/ (/ -1/8 (pow y.im 4)) 1)) (* (- (/ 1 (* y.im x.re))) (/ 0 1)) (* (- (/ 1 (* (pow y.im 2) x.im))) (/ (/ 1/2 (pow y.im 2)) 1)) (* (/ 1 (* (pow y.im 3) x.re)) (/ 0 1)))) into (/ 1 (* (pow y.im 4) x.im))
11.822 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 4) x.im)) in y.im
11.822 * [taylor]: Taking taylor expansion of (* (pow y.im 4) x.im) in y.im
11.822 * [taylor]: Taking taylor expansion of (pow y.im 4) in y.im
11.822 * [taylor]: Taking taylor expansion of y.im in y.im
11.822 * [backup-simplify]: Simplify 0 into 0
11.822 * [backup-simplify]: Simplify 1 into 1
11.822 * [taylor]: Taking taylor expansion of x.im in y.im
11.822 * [backup-simplify]: Simplify x.im into x.im
11.823 * [backup-simplify]: Simplify (* 1 1) into 1
11.823 * [backup-simplify]: Simplify (* 1 1) into 1
11.823 * [backup-simplify]: Simplify (* 1 x.im) into x.im
11.823 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.827 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.829 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0
11.830 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
11.830 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
11.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
11.832 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
11.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.833 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.833 * [taylor]: Taking taylor expansion of 0 in x.im
11.833 * [backup-simplify]: Simplify 0 into 0
11.834 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0
11.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.836 * [taylor]: Taking taylor expansion of 0 in x.im
11.836 * [backup-simplify]: Simplify 0 into 0
11.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0
11.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0
11.838 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.838 * [backup-simplify]: Simplify (- 0) into 0
11.838 * [taylor]: Taking taylor expansion of 0 in x.im
11.838 * [backup-simplify]: Simplify 0 into 0
11.840 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))))) into 0
11.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.840 * [backup-simplify]: Simplify (- 0) into 0
11.840 * [taylor]: Taking taylor expansion of 0 in x.im
11.840 * [backup-simplify]: Simplify 0 into 0
11.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.840 * [taylor]: Taking taylor expansion of 0 in x.im
11.840 * [backup-simplify]: Simplify 0 into 0
11.841 * [taylor]: Taking taylor expansion of 0 in x.re
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [taylor]: Taking taylor expansion of 0 in x.re
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [taylor]: Taking taylor expansion of 0 in x.re
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [taylor]: Taking taylor expansion of 0 in x.re
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [taylor]: Taking taylor expansion of 0 in x.re
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [taylor]: Taking taylor expansion of 0 in x.re
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [taylor]: Taking taylor expansion of 0 in x.re
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [taylor]: Taking taylor expansion of 0 in x.re
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [taylor]: Taking taylor expansion of 0 in x.re
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [taylor]: Taking taylor expansion of 0 in x.re
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * [backup-simplify]: Simplify 0 into 0
11.841 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1)
11.841 * [backup-simplify]: Simplify (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) into (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im)))
11.841 * [approximate]: Taking taylor expansion of (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) in (y.re y.im x.im x.re) around 0
11.841 * [taylor]: Taking taylor expansion of (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) in x.re
11.841 * [taylor]: Taking taylor expansion of (/ (* y.re x.im) (hypot y.re y.im)) in x.re
11.841 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.re
11.841 * [taylor]: Taking taylor expansion of y.re in x.re
11.841 * [backup-simplify]: Simplify y.re into y.re
11.841 * [taylor]: Taking taylor expansion of x.im in x.re
11.842 * [backup-simplify]: Simplify x.im into x.im
11.842 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.re
11.842 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.842 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
11.842 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.re
11.842 * [taylor]: Taking taylor expansion of y.re in x.re
11.842 * [backup-simplify]: Simplify y.re into y.re
11.842 * [taylor]: Taking taylor expansion of y.re in x.re
11.842 * [backup-simplify]: Simplify y.re into y.re
11.842 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.re
11.842 * [taylor]: Taking taylor expansion of y.im in x.re
11.842 * [backup-simplify]: Simplify y.im into y.im
11.842 * [taylor]: Taking taylor expansion of y.im in x.re
11.842 * [backup-simplify]: Simplify y.im into y.im
11.842 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.842 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.842 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
11.842 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
11.842 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.842 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.843 * [backup-simplify]: Simplify (+ 0 0) into 0
11.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
11.843 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
11.843 * [backup-simplify]: Simplify (/ (* y.re x.im) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.re x.im))
11.843 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in x.re
11.843 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.re
11.843 * [taylor]: Taking taylor expansion of y.im in x.re
11.843 * [backup-simplify]: Simplify y.im into y.im
11.843 * [taylor]: Taking taylor expansion of x.re in x.re
11.843 * [backup-simplify]: Simplify 0 into 0
11.843 * [backup-simplify]: Simplify 1 into 1
11.843 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.re
11.844 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.844 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.re
11.844 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.re
11.844 * [taylor]: Taking taylor expansion of y.re in x.re
11.844 * [backup-simplify]: Simplify y.re into y.re
11.844 * [taylor]: Taking taylor expansion of y.re in x.re
11.844 * [backup-simplify]: Simplify y.re into y.re
11.844 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.re
11.844 * [taylor]: Taking taylor expansion of y.im in x.re
11.844 * [backup-simplify]: Simplify y.im into y.im
11.844 * [taylor]: Taking taylor expansion of y.im in x.re
11.844 * [backup-simplify]: Simplify y.im into y.im
11.844 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.844 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.844 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
11.844 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
11.844 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.844 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.844 * [backup-simplify]: Simplify (+ 0 0) into 0
11.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
11.845 * [backup-simplify]: Simplify (* y.im 0) into 0
11.845 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
11.845 * [backup-simplify]: Simplify (/ y.im (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.im)
11.845 * [taylor]: Taking taylor expansion of (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) in x.im
11.845 * [taylor]: Taking taylor expansion of (/ (* y.re x.im) (hypot y.re y.im)) in x.im
11.845 * [taylor]: Taking taylor expansion of (* y.re x.im) in x.im
11.845 * [taylor]: Taking taylor expansion of y.re in x.im
11.845 * [backup-simplify]: Simplify y.re into y.re
11.845 * [taylor]: Taking taylor expansion of x.im in x.im
11.845 * [backup-simplify]: Simplify 0 into 0
11.845 * [backup-simplify]: Simplify 1 into 1
11.845 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.im
11.845 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.845 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
11.846 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
11.846 * [taylor]: Taking taylor expansion of y.re in x.im
11.846 * [backup-simplify]: Simplify y.re into y.re
11.846 * [taylor]: Taking taylor expansion of y.re in x.im
11.846 * [backup-simplify]: Simplify y.re into y.re
11.846 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.im
11.846 * [taylor]: Taking taylor expansion of y.im in x.im
11.846 * [backup-simplify]: Simplify y.im into y.im
11.846 * [taylor]: Taking taylor expansion of y.im in x.im
11.846 * [backup-simplify]: Simplify y.im into y.im
11.846 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.846 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.846 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
11.846 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
11.846 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.846 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.846 * [backup-simplify]: Simplify (+ 0 0) into 0
11.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
11.847 * [backup-simplify]: Simplify (* y.re 0) into 0
11.847 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
11.847 * [backup-simplify]: Simplify (/ y.re (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re)
11.847 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in x.im
11.847 * [taylor]: Taking taylor expansion of (* y.im x.re) in x.im
11.847 * [taylor]: Taking taylor expansion of y.im in x.im
11.847 * [backup-simplify]: Simplify y.im into y.im
11.847 * [taylor]: Taking taylor expansion of x.re in x.im
11.847 * [backup-simplify]: Simplify x.re into x.re
11.847 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in x.im
11.847 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.847 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in x.im
11.847 * [taylor]: Taking taylor expansion of (* y.re y.re) in x.im
11.847 * [taylor]: Taking taylor expansion of y.re in x.im
11.847 * [backup-simplify]: Simplify y.re into y.re
11.847 * [taylor]: Taking taylor expansion of y.re in x.im
11.847 * [backup-simplify]: Simplify y.re into y.re
11.847 * [taylor]: Taking taylor expansion of (* y.im y.im) in x.im
11.847 * [taylor]: Taking taylor expansion of y.im in x.im
11.847 * [backup-simplify]: Simplify y.im into y.im
11.847 * [taylor]: Taking taylor expansion of y.im in x.im
11.848 * [backup-simplify]: Simplify y.im into y.im
11.848 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.848 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.848 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.im 2) (pow y.re 2))
11.848 * [backup-simplify]: Simplify (sqrt (+ (pow y.im 2) (pow y.re 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
11.848 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.848 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.848 * [backup-simplify]: Simplify (+ 0 0) into 0
11.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.im 2) (pow y.re 2))))) into 0
11.848 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
11.849 * [backup-simplify]: Simplify (/ (* y.im x.re) (sqrt (+ (pow y.re 2) (pow y.im 2)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.re))
11.849 * [taylor]: Taking taylor expansion of (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) in y.im
11.849 * [taylor]: Taking taylor expansion of (/ (* y.re x.im) (hypot y.re y.im)) in y.im
11.849 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.im
11.849 * [taylor]: Taking taylor expansion of y.re in y.im
11.849 * [backup-simplify]: Simplify y.re into y.re
11.849 * [taylor]: Taking taylor expansion of x.im in y.im
11.849 * [backup-simplify]: Simplify x.im into x.im
11.849 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.im
11.849 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.849 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
11.849 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.im
11.849 * [taylor]: Taking taylor expansion of y.re in y.im
11.849 * [backup-simplify]: Simplify y.re into y.re
11.849 * [taylor]: Taking taylor expansion of y.re in y.im
11.849 * [backup-simplify]: Simplify y.re into y.re
11.849 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.im
11.849 * [taylor]: Taking taylor expansion of y.im in y.im
11.849 * [backup-simplify]: Simplify 0 into 0
11.849 * [backup-simplify]: Simplify 1 into 1
11.849 * [taylor]: Taking taylor expansion of y.im in y.im
11.849 * [backup-simplify]: Simplify 0 into 0
11.849 * [backup-simplify]: Simplify 1 into 1
11.849 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.849 * [backup-simplify]: Simplify (* 0 0) into 0
11.849 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
11.850 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
11.850 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.850 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.850 * [backup-simplify]: Simplify (+ 0 0) into 0
11.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
11.850 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
11.850 * [backup-simplify]: Simplify (/ (* y.re x.im) y.re) into x.im
11.850 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in y.im
11.850 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
11.851 * [taylor]: Taking taylor expansion of y.im in y.im
11.851 * [backup-simplify]: Simplify 0 into 0
11.851 * [backup-simplify]: Simplify 1 into 1
11.851 * [taylor]: Taking taylor expansion of x.re in y.im
11.851 * [backup-simplify]: Simplify x.re into x.re
11.851 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.im
11.851 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.851 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.im
11.851 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.im
11.851 * [taylor]: Taking taylor expansion of y.re in y.im
11.851 * [backup-simplify]: Simplify y.re into y.re
11.851 * [taylor]: Taking taylor expansion of y.re in y.im
11.851 * [backup-simplify]: Simplify y.re into y.re
11.851 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.im
11.851 * [taylor]: Taking taylor expansion of y.im in y.im
11.851 * [backup-simplify]: Simplify 0 into 0
11.851 * [backup-simplify]: Simplify 1 into 1
11.851 * [taylor]: Taking taylor expansion of y.im in y.im
11.851 * [backup-simplify]: Simplify 0 into 0
11.851 * [backup-simplify]: Simplify 1 into 1
11.851 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
11.851 * [backup-simplify]: Simplify (* 0 0) into 0
11.851 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
11.851 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
11.851 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
11.852 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.852 * [backup-simplify]: Simplify (+ 0 0) into 0
11.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
11.852 * [backup-simplify]: Simplify (* 0 x.re) into 0
11.852 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
11.852 * [backup-simplify]: Simplify (/ x.re y.re) into (/ x.re y.re)
11.853 * [taylor]: Taking taylor expansion of (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) in y.re
11.853 * [taylor]: Taking taylor expansion of (/ (* y.re x.im) (hypot y.re y.im)) in y.re
11.853 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
11.853 * [taylor]: Taking taylor expansion of y.re in y.re
11.853 * [backup-simplify]: Simplify 0 into 0
11.853 * [backup-simplify]: Simplify 1 into 1
11.853 * [taylor]: Taking taylor expansion of x.im in y.re
11.853 * [backup-simplify]: Simplify x.im into x.im
11.853 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
11.853 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.853 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
11.853 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
11.853 * [taylor]: Taking taylor expansion of y.re in y.re
11.853 * [backup-simplify]: Simplify 0 into 0
11.853 * [backup-simplify]: Simplify 1 into 1
11.853 * [taylor]: Taking taylor expansion of y.re in y.re
11.853 * [backup-simplify]: Simplify 0 into 0
11.853 * [backup-simplify]: Simplify 1 into 1
11.853 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
11.853 * [taylor]: Taking taylor expansion of y.im in y.re
11.853 * [backup-simplify]: Simplify y.im into y.im
11.853 * [taylor]: Taking taylor expansion of y.im in y.re
11.853 * [backup-simplify]: Simplify y.im into y.im
11.853 * [backup-simplify]: Simplify (* 0 0) into 0
11.853 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.853 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
11.853 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
11.854 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.854 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.854 * [backup-simplify]: Simplify (+ 0 0) into 0
11.854 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
11.854 * [backup-simplify]: Simplify (* 0 x.im) into 0
11.855 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
11.855 * [backup-simplify]: Simplify (/ x.im y.im) into (/ x.im y.im)
11.855 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in y.re
11.855 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
11.855 * [taylor]: Taking taylor expansion of y.im in y.re
11.855 * [backup-simplify]: Simplify y.im into y.im
11.855 * [taylor]: Taking taylor expansion of x.re in y.re
11.855 * [backup-simplify]: Simplify x.re into x.re
11.855 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
11.855 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.855 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
11.855 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
11.855 * [taylor]: Taking taylor expansion of y.re in y.re
11.855 * [backup-simplify]: Simplify 0 into 0
11.855 * [backup-simplify]: Simplify 1 into 1
11.855 * [taylor]: Taking taylor expansion of y.re in y.re
11.855 * [backup-simplify]: Simplify 0 into 0
11.855 * [backup-simplify]: Simplify 1 into 1
11.855 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
11.855 * [taylor]: Taking taylor expansion of y.im in y.re
11.855 * [backup-simplify]: Simplify y.im into y.im
11.855 * [taylor]: Taking taylor expansion of y.im in y.re
11.855 * [backup-simplify]: Simplify y.im into y.im
11.855 * [backup-simplify]: Simplify (* 0 0) into 0
11.855 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.855 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
11.855 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
11.856 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.856 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.856 * [backup-simplify]: Simplify (+ 0 0) into 0
11.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
11.856 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
11.856 * [backup-simplify]: Simplify (/ (* y.im x.re) y.im) into x.re
11.856 * [taylor]: Taking taylor expansion of (- (/ (* y.re x.im) (hypot y.re y.im)) (/ (* y.im x.re) (hypot y.re y.im))) in y.re
11.856 * [taylor]: Taking taylor expansion of (/ (* y.re x.im) (hypot y.re y.im)) in y.re
11.856 * [taylor]: Taking taylor expansion of (* y.re x.im) in y.re
11.856 * [taylor]: Taking taylor expansion of y.re in y.re
11.856 * [backup-simplify]: Simplify 0 into 0
11.856 * [backup-simplify]: Simplify 1 into 1
11.856 * [taylor]: Taking taylor expansion of x.im in y.re
11.856 * [backup-simplify]: Simplify x.im into x.im
11.857 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
11.857 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.857 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
11.857 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
11.857 * [taylor]: Taking taylor expansion of y.re in y.re
11.857 * [backup-simplify]: Simplify 0 into 0
11.857 * [backup-simplify]: Simplify 1 into 1
11.857 * [taylor]: Taking taylor expansion of y.re in y.re
11.857 * [backup-simplify]: Simplify 0 into 0
11.857 * [backup-simplify]: Simplify 1 into 1
11.857 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
11.857 * [taylor]: Taking taylor expansion of y.im in y.re
11.857 * [backup-simplify]: Simplify y.im into y.im
11.857 * [taylor]: Taking taylor expansion of y.im in y.re
11.857 * [backup-simplify]: Simplify y.im into y.im
11.857 * [backup-simplify]: Simplify (* 0 0) into 0
11.857 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.857 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
11.857 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
11.858 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.858 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.858 * [backup-simplify]: Simplify (+ 0 0) into 0
11.858 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
11.858 * [backup-simplify]: Simplify (* 0 x.im) into 0
11.858 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
11.858 * [backup-simplify]: Simplify (/ x.im y.im) into (/ x.im y.im)
11.858 * [taylor]: Taking taylor expansion of (/ (* y.im x.re) (hypot y.re y.im)) in y.re
11.858 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.re
11.858 * [taylor]: Taking taylor expansion of y.im in y.re
11.859 * [backup-simplify]: Simplify y.im into y.im
11.859 * [taylor]: Taking taylor expansion of x.re in y.re
11.859 * [backup-simplify]: Simplify x.re into x.re
11.859 * [taylor]: Taking taylor expansion of (hypot y.re y.im) in y.re
11.859 * [taylor]: Rewrote expression to (sqrt (+ (* y.re y.re) (* y.im y.im)))
11.859 * [taylor]: Taking taylor expansion of (+ (* y.re y.re) (* y.im y.im)) in y.re
11.859 * [taylor]: Taking taylor expansion of (* y.re y.re) in y.re
11.859 * [taylor]: Taking taylor expansion of y.re in y.re
11.859 * [backup-simplify]: Simplify 0 into 0
11.859 * [backup-simplify]: Simplify 1 into 1
11.859 * [taylor]: Taking taylor expansion of y.re in y.re
11.859 * [backup-simplify]: Simplify 0 into 0
11.859 * [backup-simplify]: Simplify 1 into 1
11.859 * [taylor]: Taking taylor expansion of (* y.im y.im) in y.re
11.859 * [taylor]: Taking taylor expansion of y.im in y.re
11.859 * [backup-simplify]: Simplify y.im into y.im
11.859 * [taylor]: Taking taylor expansion of y.im in y.re
11.859 * [backup-simplify]: Simplify y.im into y.im
11.859 * [backup-simplify]: Simplify (* 0 0) into 0
11.859 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
11.859 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
11.859 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
11.860 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0
11.860 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
11.860 * [backup-simplify]: Simplify (+ 0 0) into 0
11.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
11.860 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
11.860 * [backup-simplify]: Simplify (/ (* y.im x.re) y.im) into x.re
11.860 * [backup-simplify]: Simplify (- x.re) into (- x.re)
11.860 * [backup-simplify]: Simplify (+ 0 (- x.re)) into (- x.re)
11.860 * [taylor]: Taking taylor expansion of (- x.re) in y.im
11.860 * [taylor]: Taking taylor expansion of x.re in y.im
11.860 * [backup-simplify]: Simplify x.re into x.re
11.860 * [backup-simplify]: Simplify (- x.re) into (- x.re)
11.860 * [taylor]: Taking taylor expansion of (- x.re) in x.im
11.860 * [taylor]: Taking taylor expansion of x.re in x.im
11.860 * [backup-simplify]: Simplify x.re into x.re
11.861 * [backup-simplify]: Simplify (- x.re) into (- x.re)
11.861 * [taylor]: Taking taylor expansion of (- x.re) in x.re
11.861 * [taylor]: Taking taylor expansion of x.re in x.re
11.861 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify 1 into 1
11.861 * [backup-simplify]: Simplify (- 0) into 0
11.861 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
11.861 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* x.re (/ 0 y.im)))) into 0
11.861 * [backup-simplify]: Simplify (- 0) into 0
11.861 * [backup-simplify]: Simplify (+ (/ x.im y.im) 0) into (/ x.im y.im)
11.861 * [taylor]: Taking taylor expansion of (/ x.im y.im) in y.im
11.861 * [taylor]: Taking taylor expansion of x.im in y.im
11.861 * [backup-simplify]: Simplify x.im into x.im
11.861 * [taylor]: Taking taylor expansion of y.im in y.im
11.861 * [backup-simplify]: Simplify 0 into 0
11.861 * [backup-simplify]: Simplify 1 into 1
11.861 * [backup-simplify]: Simplify (/ x.im 1) into x.im
11.862 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)))) into 0
11.862 * [taylor]: Taking taylor expansion of 0 in x.im
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [taylor]: Taking taylor expansion of 0 in x.re
11.862 * [backup-simplify]: Simplify 0 into 0
11.862 * [backup-simplify]: Simplify 0 into 0
11.863 * [backup-simplify]: Simplify (- 0) into 0
11.863 * [taylor]: Taking taylor expansion of 0 in x.im
11.863 * [backup-simplify]: Simplify 0 into 0
11.863 * [taylor]: Taking taylor expansion of 0 in x.re
11.863 * [backup-simplify]: Simplify 0 into 0
11.863 * [backup-simplify]: Simplify 0 into 0
11.863 * [backup-simplify]: Simplify (- 0) into 0
11.863 * [taylor]: Taking taylor expansion of 0 in x.re
11.863 * [backup-simplify]: Simplify 0 into 0
11.863 * [backup-simplify]: Simplify 0 into 0
11.864 * [backup-simplify]: Simplify (- 1) into -1
11.864 * [backup-simplify]: Simplify -1 into -1
11.865 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0
11.865 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ x.im y.im) (/ 0 y.im)))) into 0
11.865 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.re))) into 0
11.866 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1
11.866 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
11.867 * [backup-simplify]: Simplify (+ 1 0) into 1
11.868 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
11.868 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* x.re (/ (/ 1/2 y.im) y.im)) (* 0 (/ 0 y.im)))) into (- (* 1/2 (/ x.re (pow y.im 2))))
11.868 * [backup-simplify]: Simplify (- (- (* 1/2 (/ x.re (pow y.im 2))))) into (* 1/2 (/ x.re (pow y.im 2)))
11.869 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ x.re (pow y.im 2)))) into (* 1/2 (/ x.re (pow y.im 2)))
11.869 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.re (pow y.im 2))) in y.im
11.869 * [taylor]: Taking taylor expansion of 1/2 in y.im
11.869 * [backup-simplify]: Simplify 1/2 into 1/2
11.869 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 2)) in y.im
11.869 * [taylor]: Taking taylor expansion of x.re in y.im
11.869 * [backup-simplify]: Simplify x.re into x.re
11.869 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
11.869 * [taylor]: Taking taylor expansion of y.im in y.im
11.869 * [backup-simplify]: Simplify 0 into 0
11.869 * [backup-simplify]: Simplify 1 into 1
11.869 * [backup-simplify]: Simplify (* 1 1) into 1
11.869 * [backup-simplify]: Simplify (/ x.re 1) into x.re
11.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0
11.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.874 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x.re))) into 0
11.874 * [taylor]: Taking taylor expansion of 0 in x.im
11.874 * [backup-simplify]: Simplify 0 into 0
11.874 * [taylor]: Taking taylor expansion of 0 in x.re
11.874 * [backup-simplify]: Simplify 0 into 0
11.874 * [backup-simplify]: Simplify 0 into 0
11.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.876 * [taylor]: Taking taylor expansion of 0 in x.im
11.876 * [backup-simplify]: Simplify 0 into 0
11.876 * [taylor]: Taking taylor expansion of 0 in x.re
11.876 * [backup-simplify]: Simplify 0 into 0
11.876 * [backup-simplify]: Simplify 0 into 0
11.877 * [backup-simplify]: Simplify (- 0) into 0
11.877 * [taylor]: Taking taylor expansion of 0 in x.im
11.877 * [backup-simplify]: Simplify 0 into 0
11.877 * [taylor]: Taking taylor expansion of 0 in x.re
11.877 * [backup-simplify]: Simplify 0 into 0
11.877 * [backup-simplify]: Simplify 0 into 0
11.877 * [taylor]: Taking taylor expansion of 0 in x.re
11.877 * [backup-simplify]: Simplify 0 into 0
11.877 * [backup-simplify]: Simplify 0 into 0
11.877 * [taylor]: Taking taylor expansion of 0 in x.re
11.877 * [backup-simplify]: Simplify 0 into 0
11.877 * [backup-simplify]: Simplify 0 into 0
11.877 * [backup-simplify]: Simplify (- 0) into 0
11.877 * [taylor]: Taking taylor expansion of 0 in x.re
11.877 * [backup-simplify]: Simplify 0 into 0
11.877 * [backup-simplify]: Simplify 0 into 0
11.878 * [backup-simplify]: Simplify (* -1 (* x.re (* 1 (* 1 1)))) into (* -1 x.re)
11.878 * [backup-simplify]: Simplify (- (* (/ (/ 1 y.re) (hypot (/ 1 y.re) (/ 1 y.im))) (/ 1 x.im)) (* (/ (/ 1 x.re) (hypot (/ 1 y.re) (/ 1 y.im))) (/ 1 y.im))) into (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im))))
11.879 * [approximate]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) in (y.re y.im x.im x.re) around 0
11.879 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) in x.re
11.879 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in x.re
11.879 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))) in x.re
11.879 * [taylor]: Taking taylor expansion of y.re in x.re
11.879 * [backup-simplify]: Simplify y.re into y.re
11.879 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ 1 y.re) (/ 1 y.im))) in x.re
11.879 * [taylor]: Taking taylor expansion of x.im in x.re
11.879 * [backup-simplify]: Simplify x.im into x.im
11.879 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.re
11.879 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.879 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
11.879 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
11.879 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
11.879 * [taylor]: Taking taylor expansion of y.re in x.re
11.879 * [backup-simplify]: Simplify y.re into y.re
11.879 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.879 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
11.879 * [taylor]: Taking taylor expansion of y.re in x.re
11.879 * [backup-simplify]: Simplify y.re into y.re
11.879 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.879 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
11.879 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
11.879 * [taylor]: Taking taylor expansion of y.im in x.re
11.879 * [backup-simplify]: Simplify y.im into y.im
11.880 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.880 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
11.880 * [taylor]: Taking taylor expansion of y.im in x.re
11.880 * [backup-simplify]: Simplify y.im into y.im
11.880 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.880 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
11.880 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.880 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.880 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.881 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
11.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.881 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.882 * [backup-simplify]: Simplify (+ 0 0) into 0
11.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.883 * [backup-simplify]: Simplify (* x.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) x.im)
11.883 * [backup-simplify]: Simplify (* y.re (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) x.im)) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (* y.re x.im))
11.883 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (* y.re x.im))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 (* y.re x.im)))
11.883 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im))) in x.re
11.884 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)) in x.re
11.884 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.re
11.884 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.884 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.re
11.884 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.re
11.884 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
11.884 * [taylor]: Taking taylor expansion of y.re in x.re
11.884 * [backup-simplify]: Simplify y.re into y.re
11.884 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.884 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
11.884 * [taylor]: Taking taylor expansion of y.re in x.re
11.884 * [backup-simplify]: Simplify y.re into y.re
11.884 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.884 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.re
11.884 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
11.884 * [taylor]: Taking taylor expansion of y.im in x.re
11.884 * [backup-simplify]: Simplify y.im into y.im
11.884 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.884 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.re
11.884 * [taylor]: Taking taylor expansion of y.im in x.re
11.884 * [backup-simplify]: Simplify y.im into y.im
11.885 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.885 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
11.885 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.885 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.885 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.886 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
11.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.886 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.886 * [backup-simplify]: Simplify (+ 0 0) into 0
11.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.886 * [taylor]: Taking taylor expansion of (* x.re y.im) in x.re
11.886 * [taylor]: Taking taylor expansion of x.re in x.re
11.887 * [backup-simplify]: Simplify 0 into 0
11.887 * [backup-simplify]: Simplify 1 into 1
11.887 * [taylor]: Taking taylor expansion of y.im in x.re
11.887 * [backup-simplify]: Simplify y.im into y.im
11.887 * [backup-simplify]: Simplify (* 0 y.im) into 0
11.887 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0) into 0
11.887 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 y.im)) into y.im
11.888 * [backup-simplify]: Simplify (+ (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im) (* 0 0)) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im)
11.888 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.im)) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.im))
11.888 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) in x.im
11.888 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in x.im
11.888 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))) in x.im
11.888 * [taylor]: Taking taylor expansion of y.re in x.im
11.888 * [backup-simplify]: Simplify y.re into y.re
11.888 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ 1 y.re) (/ 1 y.im))) in x.im
11.888 * [taylor]: Taking taylor expansion of x.im in x.im
11.888 * [backup-simplify]: Simplify 0 into 0
11.888 * [backup-simplify]: Simplify 1 into 1
11.888 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.im
11.888 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.888 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
11.888 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
11.888 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
11.888 * [taylor]: Taking taylor expansion of y.re in x.im
11.888 * [backup-simplify]: Simplify y.re into y.re
11.888 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.888 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
11.888 * [taylor]: Taking taylor expansion of y.re in x.im
11.888 * [backup-simplify]: Simplify y.re into y.re
11.888 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.888 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
11.888 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
11.888 * [taylor]: Taking taylor expansion of y.im in x.im
11.888 * [backup-simplify]: Simplify y.im into y.im
11.888 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.888 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
11.888 * [taylor]: Taking taylor expansion of y.im in x.im
11.888 * [backup-simplify]: Simplify y.im into y.im
11.889 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.889 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
11.889 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.889 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.889 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.889 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
11.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.889 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.889 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.890 * [backup-simplify]: Simplify (+ 0 0) into 0
11.890 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.890 * [backup-simplify]: Simplify (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into 0
11.890 * [backup-simplify]: Simplify (* y.re 0) into 0
11.891 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.891 * [backup-simplify]: Simplify (+ (* y.re (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 0)) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.re)
11.891 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.re)) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
11.891 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im))) in x.im
11.891 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)) in x.im
11.891 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in x.im
11.892 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.892 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in x.im
11.892 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in x.im
11.892 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
11.892 * [taylor]: Taking taylor expansion of y.re in x.im
11.892 * [backup-simplify]: Simplify y.re into y.re
11.892 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.892 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.im
11.892 * [taylor]: Taking taylor expansion of y.re in x.im
11.892 * [backup-simplify]: Simplify y.re into y.re
11.892 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.892 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in x.im
11.892 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
11.892 * [taylor]: Taking taylor expansion of y.im in x.im
11.892 * [backup-simplify]: Simplify y.im into y.im
11.892 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.892 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im
11.892 * [taylor]: Taking taylor expansion of y.im in x.im
11.892 * [backup-simplify]: Simplify y.im into y.im
11.892 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.892 * [backup-simplify]: Simplify (* (/ 1 y.re) (/ 1 y.re)) into (/ 1 (pow y.re 2))
11.892 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.892 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.892 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
11.893 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* 0 (/ 1 y.re))) into 0
11.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.893 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.893 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.893 * [backup-simplify]: Simplify (+ 0 0) into 0
11.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.893 * [taylor]: Taking taylor expansion of (* x.re y.im) in x.im
11.893 * [taylor]: Taking taylor expansion of x.re in x.im
11.894 * [backup-simplify]: Simplify x.re into x.re
11.894 * [taylor]: Taking taylor expansion of y.im in x.im
11.894 * [backup-simplify]: Simplify y.im into y.im
11.894 * [backup-simplify]: Simplify (* x.re y.im) into (* y.im x.re)
11.894 * [backup-simplify]: Simplify (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (* y.im x.re)) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (* x.re y.im))
11.894 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (* x.re y.im))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 (* x.re y.im)))
11.894 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) in y.im
11.894 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in y.im
11.894 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))) in y.im
11.894 * [taylor]: Taking taylor expansion of y.re in y.im
11.894 * [backup-simplify]: Simplify y.re into y.re
11.894 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ 1 y.re) (/ 1 y.im))) in y.im
11.894 * [taylor]: Taking taylor expansion of x.im in y.im
11.894 * [backup-simplify]: Simplify x.im into x.im
11.894 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.im
11.894 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.894 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
11.894 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
11.894 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
11.894 * [taylor]: Taking taylor expansion of y.re in y.im
11.894 * [backup-simplify]: Simplify y.re into y.re
11.894 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.894 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
11.894 * [taylor]: Taking taylor expansion of y.re in y.im
11.894 * [backup-simplify]: Simplify y.re into y.re
11.895 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.895 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
11.895 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.895 * [taylor]: Taking taylor expansion of y.im in y.im
11.895 * [backup-simplify]: Simplify 0 into 0
11.895 * [backup-simplify]: Simplify 1 into 1
11.895 * [backup-simplify]: Simplify (/ 1 1) into 1
11.895 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.895 * [taylor]: Taking taylor expansion of y.im in y.im
11.895 * [backup-simplify]: Simplify 0 into 0
11.895 * [backup-simplify]: Simplify 1 into 1
11.895 * [backup-simplify]: Simplify (/ 1 1) into 1
11.895 * [backup-simplify]: Simplify (* 1 1) into 1
11.896 * [backup-simplify]: Simplify (+ 0 1) into 1
11.896 * [backup-simplify]: Simplify (sqrt 1) into 1
11.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.897 * [backup-simplify]: Simplify (+ 0 0) into 0
11.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.898 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.898 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
11.898 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
11.898 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im))) in y.im
11.898 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)) in y.im
11.898 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.im
11.898 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.898 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.im
11.898 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.im
11.898 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
11.898 * [taylor]: Taking taylor expansion of y.re in y.im
11.898 * [backup-simplify]: Simplify y.re into y.re
11.898 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.898 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.im
11.898 * [taylor]: Taking taylor expansion of y.re in y.im
11.898 * [backup-simplify]: Simplify y.re into y.re
11.898 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
11.898 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.im
11.898 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.898 * [taylor]: Taking taylor expansion of y.im in y.im
11.898 * [backup-simplify]: Simplify 0 into 0
11.898 * [backup-simplify]: Simplify 1 into 1
11.899 * [backup-simplify]: Simplify (/ 1 1) into 1
11.899 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
11.899 * [taylor]: Taking taylor expansion of y.im in y.im
11.899 * [backup-simplify]: Simplify 0 into 0
11.899 * [backup-simplify]: Simplify 1 into 1
11.899 * [backup-simplify]: Simplify (/ 1 1) into 1
11.899 * [backup-simplify]: Simplify (* 1 1) into 1
11.899 * [backup-simplify]: Simplify (+ 0 1) into 1
11.900 * [backup-simplify]: Simplify (sqrt 1) into 1
11.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.901 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.901 * [backup-simplify]: Simplify (+ 0 0) into 0
11.902 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.902 * [taylor]: Taking taylor expansion of (* x.re y.im) in y.im
11.902 * [taylor]: Taking taylor expansion of x.re in y.im
11.902 * [backup-simplify]: Simplify x.re into x.re
11.902 * [taylor]: Taking taylor expansion of y.im in y.im
11.902 * [backup-simplify]: Simplify 0 into 0
11.902 * [backup-simplify]: Simplify 1 into 1
11.902 * [backup-simplify]: Simplify (* x.re 0) into 0
11.902 * [backup-simplify]: Simplify (* 1 0) into 0
11.902 * [backup-simplify]: Simplify (+ (* x.re 1) (* 0 0)) into x.re
11.905 * [backup-simplify]: Simplify (+ (* 1 x.re) (* 0 0)) into x.re
11.905 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
11.906 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) in y.re
11.906 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in y.re
11.906 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))) in y.re
11.906 * [taylor]: Taking taylor expansion of y.re in y.re
11.906 * [backup-simplify]: Simplify 0 into 0
11.906 * [backup-simplify]: Simplify 1 into 1
11.906 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ 1 y.re) (/ 1 y.im))) in y.re
11.906 * [taylor]: Taking taylor expansion of x.im in y.re
11.906 * [backup-simplify]: Simplify x.im into x.im
11.906 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
11.906 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.906 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
11.906 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
11.906 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.906 * [taylor]: Taking taylor expansion of y.re in y.re
11.906 * [backup-simplify]: Simplify 0 into 0
11.906 * [backup-simplify]: Simplify 1 into 1
11.907 * [backup-simplify]: Simplify (/ 1 1) into 1
11.907 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.907 * [taylor]: Taking taylor expansion of y.re in y.re
11.907 * [backup-simplify]: Simplify 0 into 0
11.907 * [backup-simplify]: Simplify 1 into 1
11.907 * [backup-simplify]: Simplify (/ 1 1) into 1
11.907 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
11.907 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.907 * [taylor]: Taking taylor expansion of y.im in y.re
11.907 * [backup-simplify]: Simplify y.im into y.im
11.907 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.907 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.908 * [taylor]: Taking taylor expansion of y.im in y.re
11.908 * [backup-simplify]: Simplify y.im into y.im
11.908 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.908 * [backup-simplify]: Simplify (* 1 1) into 1
11.908 * [backup-simplify]: Simplify (+ 1 0) into 1
11.909 * [backup-simplify]: Simplify (sqrt 1) into 1
11.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.911 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.911 * [backup-simplify]: Simplify (+ 0 0) into 0
11.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.912 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.912 * [backup-simplify]: Simplify (* 0 x.im) into 0
11.912 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0
11.913 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
11.913 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.913 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im))) in y.re
11.913 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)) in y.re
11.913 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
11.913 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.913 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
11.913 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
11.913 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.913 * [taylor]: Taking taylor expansion of y.re in y.re
11.913 * [backup-simplify]: Simplify 0 into 0
11.913 * [backup-simplify]: Simplify 1 into 1
11.914 * [backup-simplify]: Simplify (/ 1 1) into 1
11.914 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.914 * [taylor]: Taking taylor expansion of y.re in y.re
11.914 * [backup-simplify]: Simplify 0 into 0
11.914 * [backup-simplify]: Simplify 1 into 1
11.914 * [backup-simplify]: Simplify (/ 1 1) into 1
11.914 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
11.914 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.914 * [taylor]: Taking taylor expansion of y.im in y.re
11.914 * [backup-simplify]: Simplify y.im into y.im
11.914 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.914 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.914 * [taylor]: Taking taylor expansion of y.im in y.re
11.914 * [backup-simplify]: Simplify y.im into y.im
11.915 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.915 * [backup-simplify]: Simplify (* 1 1) into 1
11.915 * [backup-simplify]: Simplify (+ 1 0) into 1
11.916 * [backup-simplify]: Simplify (sqrt 1) into 1
11.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.918 * [backup-simplify]: Simplify (+ 0 0) into 0
11.919 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.919 * [taylor]: Taking taylor expansion of (* x.re y.im) in y.re
11.919 * [taylor]: Taking taylor expansion of x.re in y.re
11.919 * [backup-simplify]: Simplify x.re into x.re
11.919 * [taylor]: Taking taylor expansion of y.im in y.re
11.919 * [backup-simplify]: Simplify y.im into y.im
11.919 * [backup-simplify]: Simplify (* x.re y.im) into (* y.im x.re)
11.919 * [backup-simplify]: Simplify (* 1 (* y.im x.re)) into (* y.im x.re)
11.919 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
11.919 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)))) in y.re
11.919 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im))))) in y.re
11.919 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ 1 y.re) (/ 1 y.im)))) in y.re
11.919 * [taylor]: Taking taylor expansion of y.re in y.re
11.919 * [backup-simplify]: Simplify 0 into 0
11.919 * [backup-simplify]: Simplify 1 into 1
11.919 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ 1 y.re) (/ 1 y.im))) in y.re
11.919 * [taylor]: Taking taylor expansion of x.im in y.re
11.919 * [backup-simplify]: Simplify x.im into x.im
11.919 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
11.920 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.920 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
11.920 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
11.920 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.920 * [taylor]: Taking taylor expansion of y.re in y.re
11.920 * [backup-simplify]: Simplify 0 into 0
11.920 * [backup-simplify]: Simplify 1 into 1
11.920 * [backup-simplify]: Simplify (/ 1 1) into 1
11.920 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.920 * [taylor]: Taking taylor expansion of y.re in y.re
11.920 * [backup-simplify]: Simplify 0 into 0
11.920 * [backup-simplify]: Simplify 1 into 1
11.921 * [backup-simplify]: Simplify (/ 1 1) into 1
11.921 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
11.921 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.921 * [taylor]: Taking taylor expansion of y.im in y.re
11.921 * [backup-simplify]: Simplify y.im into y.im
11.921 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.921 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.921 * [taylor]: Taking taylor expansion of y.im in y.re
11.921 * [backup-simplify]: Simplify y.im into y.im
11.921 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.921 * [backup-simplify]: Simplify (* 1 1) into 1
11.922 * [backup-simplify]: Simplify (+ 1 0) into 1
11.922 * [backup-simplify]: Simplify (sqrt 1) into 1
11.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.925 * [backup-simplify]: Simplify (+ 0 0) into 0
11.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.926 * [backup-simplify]: Simplify (* x.im 1) into x.im
11.926 * [backup-simplify]: Simplify (* 0 x.im) into 0
11.926 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0
11.926 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
11.927 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.927 * [taylor]: Taking taylor expansion of (/ 1 (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im))) in y.re
11.927 * [taylor]: Taking taylor expansion of (* (hypot (/ 1 y.re) (/ 1 y.im)) (* x.re y.im)) in y.re
11.927 * [taylor]: Taking taylor expansion of (hypot (/ 1 y.re) (/ 1 y.im)) in y.re
11.927 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))
11.927 * [taylor]: Taking taylor expansion of (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) in y.re
11.927 * [taylor]: Taking taylor expansion of (* (/ 1 y.re) (/ 1 y.re)) in y.re
11.927 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.927 * [taylor]: Taking taylor expansion of y.re in y.re
11.927 * [backup-simplify]: Simplify 0 into 0
11.927 * [backup-simplify]: Simplify 1 into 1
11.927 * [backup-simplify]: Simplify (/ 1 1) into 1
11.927 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
11.927 * [taylor]: Taking taylor expansion of y.re in y.re
11.928 * [backup-simplify]: Simplify 0 into 0
11.928 * [backup-simplify]: Simplify 1 into 1
11.928 * [backup-simplify]: Simplify (/ 1 1) into 1
11.928 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (/ 1 y.im)) in y.re
11.928 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.928 * [taylor]: Taking taylor expansion of y.im in y.re
11.928 * [backup-simplify]: Simplify y.im into y.im
11.928 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.928 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.re
11.928 * [taylor]: Taking taylor expansion of y.im in y.re
11.928 * [backup-simplify]: Simplify y.im into y.im
11.928 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
11.929 * [backup-simplify]: Simplify (* 1 1) into 1
11.929 * [backup-simplify]: Simplify (+ 1 0) into 1
11.929 * [backup-simplify]: Simplify (sqrt 1) into 1
11.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.932 * [backup-simplify]: Simplify (+ 0 0) into 0
11.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
11.932 * [taylor]: Taking taylor expansion of (* x.re y.im) in y.re
11.932 * [taylor]: Taking taylor expansion of x.re in y.re
11.932 * [backup-simplify]: Simplify x.re into x.re
11.933 * [taylor]: Taking taylor expansion of y.im in y.re
11.933 * [backup-simplify]: Simplify y.im into y.im
11.933 * [backup-simplify]: Simplify (* x.re y.im) into (* y.im x.re)
11.933 * [backup-simplify]: Simplify (* 1 (* y.im x.re)) into (* y.im x.re)
11.933 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
11.933 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
11.933 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.im
11.933 * [taylor]: Taking taylor expansion of x.im in y.im
11.933 * [backup-simplify]: Simplify x.im into x.im
11.933 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.933 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im
11.933 * [taylor]: Taking taylor expansion of x.im in x.im
11.933 * [backup-simplify]: Simplify 0 into 0
11.933 * [backup-simplify]: Simplify 1 into 1
11.934 * [backup-simplify]: Simplify (/ 1 1) into 1
11.934 * [taylor]: Taking taylor expansion of 1 in x.re
11.934 * [backup-simplify]: Simplify 1 into 1
11.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.937 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.937 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
11.939 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
11.940 * [backup-simplify]: Simplify (+ (* x.im (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ x.im (pow y.im 2)))
11.940 * [backup-simplify]: Simplify (+ (* 0 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 1 0) (* 0 x.im))) into 0
11.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.941 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
11.941 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
11.941 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in y.im
11.941 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
11.941 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
11.941 * [taylor]: Taking taylor expansion of y.im in y.im
11.941 * [backup-simplify]: Simplify 0 into 0
11.941 * [backup-simplify]: Simplify 1 into 1
11.941 * [taylor]: Taking taylor expansion of x.re in y.im
11.941 * [backup-simplify]: Simplify x.re into x.re
11.941 * [backup-simplify]: Simplify (* 0 x.re) into 0
11.942 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
11.942 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
11.942 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0
11.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
11.943 * [backup-simplify]: Simplify (- 0) into 0
11.943 * [taylor]: Taking taylor expansion of 0 in x.im
11.943 * [backup-simplify]: Simplify 0 into 0
11.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.943 * [taylor]: Taking taylor expansion of 0 in x.im
11.943 * [backup-simplify]: Simplify 0 into 0
11.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
11.944 * [taylor]: Taking taylor expansion of 0 in x.re
11.944 * [backup-simplify]: Simplify 0 into 0
11.944 * [backup-simplify]: Simplify 1 into 1
11.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.947 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
11.947 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (/ 1 y.im))) into 0
11.947 * [backup-simplify]: Simplify (+ 0 0) into 0
11.948 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
11.949 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into 0
11.950 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 0 0) (* 0 x.im)))) into (* 1/2 (/ x.im (pow y.im 2)))
11.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ (* 1/2 (/ x.im (pow y.im 2))) x.im)) (* 0 (/ 0 x.im)))) into (- (* 1/2 (/ 1 (* (pow y.im 2) x.im))))
11.951 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 y.im)) into 0
11.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (* y.im x.re))) into 0
11.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
11.952 * [backup-simplify]: Simplify (- 0) into 0
11.952 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) 0) into (- (* 1/2 (/ 1 (* (pow y.im 2) x.im))))
11.952 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) in y.im
11.952 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y.im 2) x.im))) in y.im
11.952 * [taylor]: Taking taylor expansion of 1/2 in y.im
11.952 * [backup-simplify]: Simplify 1/2 into 1/2
11.952 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.im)) in y.im
11.952 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.im) in y.im
11.952 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
11.952 * [taylor]: Taking taylor expansion of y.im in y.im
11.952 * [backup-simplify]: Simplify 0 into 0
11.952 * [backup-simplify]: Simplify 1 into 1
11.952 * [taylor]: Taking taylor expansion of x.im in y.im
11.952 * [backup-simplify]: Simplify x.im into x.im
11.953 * [backup-simplify]: Simplify (* 1 1) into 1
11.953 * [backup-simplify]: Simplify (* 1 x.im) into x.im
11.953 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
11.953 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.954 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.955 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
11.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
11.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
11.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.957 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x.im)))) into 0
11.957 * [backup-simplify]: Simplify (- 0) into 0
11.957 * [taylor]: Taking taylor expansion of 0 in x.im
11.957 * [backup-simplify]: Simplify 0 into 0
11.958 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0
11.958 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.959 * [backup-simplify]: Simplify (- 0) into 0
11.959 * [taylor]: Taking taylor expansion of 0 in x.im
11.959 * [backup-simplify]: Simplify 0 into 0
11.959 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.959 * [taylor]: Taking taylor expansion of 0 in x.im
11.959 * [backup-simplify]: Simplify 0 into 0
11.959 * [taylor]: Taking taylor expansion of 0 in x.re
11.959 * [backup-simplify]: Simplify 0 into 0
11.959 * [taylor]: Taking taylor expansion of 0 in x.re
11.959 * [backup-simplify]: Simplify 0 into 0
11.960 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.960 * [taylor]: Taking taylor expansion of 0 in x.re
11.960 * [backup-simplify]: Simplify 0 into 0
11.960 * [backup-simplify]: Simplify 0 into 0
11.960 * [backup-simplify]: Simplify 0 into 0
11.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.962 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
11.962 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.963 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
11.963 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* 0 (/ 1 y.im)))) into 0
11.963 * [backup-simplify]: Simplify (+ 0 0) into 0
11.964 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y.im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y.im 4))
11.965 * [backup-simplify]: Simplify (+ (* x.im (/ -1/8 (pow y.im 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))))) into (- (* 1/8 (/ x.im (pow y.im 4))))
11.966 * [backup-simplify]: Simplify (+ (* 0 (- (* 1/8 (/ x.im (pow y.im 4))))) (+ (* 1 0) (+ (* 0 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 0 0) (* 0 x.im))))) into 0
11.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ (* 1/2 (/ x.im (pow y.im 2))) x.im)) (* (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) (/ 0 x.im)))) into 0
11.966 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 y.im))) into 0
11.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.968 * [backup-simplify]: Simplify (* (/ 1 y.im) (/ 1 y.im)) into (/ 1 (pow y.im 2))
11.968 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
11.969 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
11.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ 1/2 (pow y.im 2)) (* y.im x.re)))) into (* 1/2 (/ x.re y.im))
11.970 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ (* 1/2 (/ x.re y.im)) (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into (- (* 1/2 (/ 1 (* (pow y.im 3) x.re))))
11.970 * [backup-simplify]: Simplify (- (- (* 1/2 (/ 1 (* (pow y.im 3) x.re))))) into (* 1/2 (/ 1 (* (pow y.im 3) x.re)))
11.970 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (* (pow y.im 3) x.re)))) into (* 1/2 (/ 1 (* (pow y.im 3) x.re)))
11.970 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y.im 3) x.re))) in y.im
11.970 * [taylor]: Taking taylor expansion of 1/2 in y.im
11.970 * [backup-simplify]: Simplify 1/2 into 1/2
11.970 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 3) x.re)) in y.im
11.970 * [taylor]: Taking taylor expansion of (* (pow y.im 3) x.re) in y.im
11.970 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im
11.970 * [taylor]: Taking taylor expansion of y.im in y.im
11.970 * [backup-simplify]: Simplify 0 into 0
11.970 * [backup-simplify]: Simplify 1 into 1
11.970 * [taylor]: Taking taylor expansion of x.re in y.im
11.970 * [backup-simplify]: Simplify x.re into x.re
11.971 * [backup-simplify]: Simplify (* 1 1) into 1
11.971 * [backup-simplify]: Simplify (* 1 1) into 1
11.971 * [backup-simplify]: Simplify (* 1 x.re) into x.re
11.971 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
11.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
11.972 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
11.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
11.976 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.re)) into 0
11.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
11.977 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.re))) into 0
11.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.977 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.979 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.re))))) into 0
11.979 * [taylor]: Taking taylor expansion of 0 in x.im
11.979 * [backup-simplify]: Simplify 0 into 0
11.980 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
11.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
11.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.982 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.im))))) into 0
11.983 * [backup-simplify]: Simplify (- 0) into 0
11.983 * [taylor]: Taking taylor expansion of 0 in x.im
11.983 * [backup-simplify]: Simplify 0 into 0
11.983 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
11.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
11.984 * [backup-simplify]: Simplify (- 0) into 0
11.984 * [taylor]: Taking taylor expansion of 0 in x.im
11.984 * [backup-simplify]: Simplify 0 into 0
11.984 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
11.984 * [taylor]: Taking taylor expansion of 0 in x.im
11.984 * [backup-simplify]: Simplify 0 into 0
11.984 * [taylor]: Taking taylor expansion of 0 in x.re
11.984 * [backup-simplify]: Simplify 0 into 0
11.984 * [taylor]: Taking taylor expansion of 0 in x.re
11.984 * [backup-simplify]: Simplify 0 into 0
11.984 * [taylor]: Taking taylor expansion of 0 in x.re
11.984 * [backup-simplify]: Simplify 0 into 0
11.984 * [taylor]: Taking taylor expansion of 0 in x.re
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [taylor]: Taking taylor expansion of 0 in x.re
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
11.985 * [taylor]: Taking taylor expansion of 0 in x.re
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [backup-simplify]: Simplify 0 into 0
11.985 * [backup-simplify]: Simplify 0 into 0
11.986 * [backup-simplify]: Simplify (* 1 (* 1 (* (/ 1 (/ 1 x.im)) (* 1 1)))) into x.im
11.986 * [backup-simplify]: Simplify (- (* (/ (/ 1 (- y.re)) (hypot (/ 1 (- y.re)) (/ 1 (- y.im)))) (/ 1 (- x.im))) (* (/ (/ 1 (- x.re)) (hypot (/ 1 (- y.re)) (/ 1 (- y.im)))) (/ 1 (- y.im)))) into (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))))
11.986 * [approximate]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) in (y.re y.im x.im x.re) around 0
11.986 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) in x.re
11.986 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in x.re
11.986 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))) in x.re
11.986 * [taylor]: Taking taylor expansion of y.re in x.re
11.986 * [backup-simplify]: Simplify y.re into y.re
11.986 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ -1 y.re) (/ -1 y.im))) in x.re
11.986 * [taylor]: Taking taylor expansion of x.im in x.re
11.986 * [backup-simplify]: Simplify x.im into x.im
11.986 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.re
11.986 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.986 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.re
11.986 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.re
11.986 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
11.986 * [taylor]: Taking taylor expansion of -1 in x.re
11.986 * [backup-simplify]: Simplify -1 into -1
11.986 * [taylor]: Taking taylor expansion of y.re in x.re
11.986 * [backup-simplify]: Simplify y.re into y.re
11.987 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.987 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
11.987 * [taylor]: Taking taylor expansion of -1 in x.re
11.987 * [backup-simplify]: Simplify -1 into -1
11.987 * [taylor]: Taking taylor expansion of y.re in x.re
11.987 * [backup-simplify]: Simplify y.re into y.re
11.987 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.987 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.re
11.987 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
11.987 * [taylor]: Taking taylor expansion of -1 in x.re
11.987 * [backup-simplify]: Simplify -1 into -1
11.987 * [taylor]: Taking taylor expansion of y.im in x.re
11.987 * [backup-simplify]: Simplify y.im into y.im
11.987 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.987 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
11.987 * [taylor]: Taking taylor expansion of -1 in x.re
11.987 * [backup-simplify]: Simplify -1 into -1
11.987 * [taylor]: Taking taylor expansion of y.im in x.re
11.987 * [backup-simplify]: Simplify y.im into y.im
11.987 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.987 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
11.987 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.987 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.987 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.988 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.988 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.988 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
11.988 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.988 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.988 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.988 * [backup-simplify]: Simplify (+ 0 0) into 0
11.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.989 * [backup-simplify]: Simplify (* x.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) x.im)
11.989 * [backup-simplify]: Simplify (* y.re (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) x.im)) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (* y.re x.im))
11.989 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (* y.re x.im))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 (* y.re x.im)))
11.989 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in x.re
11.989 * [taylor]: Taking taylor expansion of (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))) in x.re
11.989 * [taylor]: Taking taylor expansion of y.im in x.re
11.989 * [backup-simplify]: Simplify y.im into y.im
11.989 * [taylor]: Taking taylor expansion of (* x.re (hypot (/ -1 y.re) (/ -1 y.im))) in x.re
11.989 * [taylor]: Taking taylor expansion of x.re in x.re
11.989 * [backup-simplify]: Simplify 0 into 0
11.989 * [backup-simplify]: Simplify 1 into 1
11.989 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.re
11.990 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.990 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.re
11.990 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.re
11.990 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
11.990 * [taylor]: Taking taylor expansion of -1 in x.re
11.990 * [backup-simplify]: Simplify -1 into -1
11.990 * [taylor]: Taking taylor expansion of y.re in x.re
11.990 * [backup-simplify]: Simplify y.re into y.re
11.990 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.990 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.re
11.990 * [taylor]: Taking taylor expansion of -1 in x.re
11.990 * [backup-simplify]: Simplify -1 into -1
11.990 * [taylor]: Taking taylor expansion of y.re in x.re
11.990 * [backup-simplify]: Simplify y.re into y.re
11.990 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.990 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.re
11.990 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
11.990 * [taylor]: Taking taylor expansion of -1 in x.re
11.990 * [backup-simplify]: Simplify -1 into -1
11.990 * [taylor]: Taking taylor expansion of y.im in x.re
11.990 * [backup-simplify]: Simplify y.im into y.im
11.990 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.990 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.re
11.990 * [taylor]: Taking taylor expansion of -1 in x.re
11.990 * [backup-simplify]: Simplify -1 into -1
11.990 * [taylor]: Taking taylor expansion of y.im in x.re
11.990 * [backup-simplify]: Simplify y.im into y.im
11.990 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.990 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
11.990 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.991 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.991 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.991 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.991 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.991 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
11.991 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.991 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.991 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.992 * [backup-simplify]: Simplify (+ 0 0) into 0
11.992 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.992 * [backup-simplify]: Simplify (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into 0
11.992 * [backup-simplify]: Simplify (* y.im 0) into 0
11.993 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.993 * [backup-simplify]: Simplify (+ (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 0)) into (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))
11.993 * [backup-simplify]: Simplify (/ 1 (* y.im (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))
11.993 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) in x.im
11.993 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in x.im
11.993 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))) in x.im
11.993 * [taylor]: Taking taylor expansion of y.re in x.im
11.993 * [backup-simplify]: Simplify y.re into y.re
11.993 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ -1 y.re) (/ -1 y.im))) in x.im
11.994 * [taylor]: Taking taylor expansion of x.im in x.im
11.994 * [backup-simplify]: Simplify 0 into 0
11.994 * [backup-simplify]: Simplify 1 into 1
11.994 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.im
11.994 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.994 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.im
11.994 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
11.994 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
11.994 * [taylor]: Taking taylor expansion of -1 in x.im
11.994 * [backup-simplify]: Simplify -1 into -1
11.994 * [taylor]: Taking taylor expansion of y.re in x.im
11.994 * [backup-simplify]: Simplify y.re into y.re
11.994 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.994 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
11.994 * [taylor]: Taking taylor expansion of -1 in x.im
11.994 * [backup-simplify]: Simplify -1 into -1
11.994 * [taylor]: Taking taylor expansion of y.re in x.im
11.994 * [backup-simplify]: Simplify y.re into y.re
11.994 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.994 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.im
11.994 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
11.994 * [taylor]: Taking taylor expansion of -1 in x.im
11.994 * [backup-simplify]: Simplify -1 into -1
11.994 * [taylor]: Taking taylor expansion of y.im in x.im
11.994 * [backup-simplify]: Simplify y.im into y.im
11.994 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.994 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
11.994 * [taylor]: Taking taylor expansion of -1 in x.im
11.994 * [backup-simplify]: Simplify -1 into -1
11.994 * [taylor]: Taking taylor expansion of y.im in x.im
11.994 * [backup-simplify]: Simplify y.im into y.im
11.994 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.994 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
11.994 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.994 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.995 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.995 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.995 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.995 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
11.995 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.995 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.995 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.996 * [backup-simplify]: Simplify (+ 0 0) into 0
11.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
11.996 * [backup-simplify]: Simplify (* 0 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into 0
11.996 * [backup-simplify]: Simplify (* y.re 0) into 0
11.997 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.997 * [backup-simplify]: Simplify (+ (* y.re (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 0)) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.re)
11.997 * [backup-simplify]: Simplify (/ 1 (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) y.re)) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re))
11.997 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in x.im
11.997 * [taylor]: Taking taylor expansion of (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))) in x.im
11.997 * [taylor]: Taking taylor expansion of y.im in x.im
11.997 * [backup-simplify]: Simplify y.im into y.im
11.997 * [taylor]: Taking taylor expansion of (* x.re (hypot (/ -1 y.re) (/ -1 y.im))) in x.im
11.997 * [taylor]: Taking taylor expansion of x.re in x.im
11.997 * [backup-simplify]: Simplify x.re into x.re
11.997 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in x.im
11.998 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
11.998 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in x.im
11.998 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in x.im
11.998 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
11.998 * [taylor]: Taking taylor expansion of -1 in x.im
11.998 * [backup-simplify]: Simplify -1 into -1
11.998 * [taylor]: Taking taylor expansion of y.re in x.im
11.998 * [backup-simplify]: Simplify y.re into y.re
11.998 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.998 * [taylor]: Taking taylor expansion of (/ -1 y.re) in x.im
11.998 * [taylor]: Taking taylor expansion of -1 in x.im
11.998 * [backup-simplify]: Simplify -1 into -1
11.998 * [taylor]: Taking taylor expansion of y.re in x.im
11.998 * [backup-simplify]: Simplify y.re into y.re
11.998 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
11.998 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in x.im
11.998 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
11.998 * [taylor]: Taking taylor expansion of -1 in x.im
11.998 * [backup-simplify]: Simplify -1 into -1
11.998 * [taylor]: Taking taylor expansion of y.im in x.im
11.998 * [backup-simplify]: Simplify y.im into y.im
11.998 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.998 * [taylor]: Taking taylor expansion of (/ -1 y.im) in x.im
11.998 * [taylor]: Taking taylor expansion of -1 in x.im
11.998 * [backup-simplify]: Simplify -1 into -1
11.998 * [taylor]: Taking taylor expansion of y.im in x.im
11.998 * [backup-simplify]: Simplify y.im into y.im
11.998 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
11.998 * [backup-simplify]: Simplify (* (/ -1 y.re) (/ -1 y.re)) into (/ 1 (pow y.re 2))
11.998 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
11.998 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))
11.999 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))
11.999 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.999 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ -1 y.re) (/ 0 y.re)))) into 0
11.999 * [backup-simplify]: Simplify (+ (* (/ -1 y.re) 0) (* 0 (/ -1 y.re))) into 0
11.999 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.999 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
11.999 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
11.999 * [backup-simplify]: Simplify (+ 0 0) into 0
12.000 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0
12.000 * [backup-simplify]: Simplify (* x.re (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) x.re)
12.000 * [backup-simplify]: Simplify (* y.im (* (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) x.re)) into (* (* y.im x.re) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))
12.000 * [backup-simplify]: Simplify (/ 1 (* (* y.im x.re) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (* (/ 1 (* y.im x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))
12.000 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) in y.im
12.000 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in y.im
12.000 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))) in y.im
12.000 * [taylor]: Taking taylor expansion of y.re in y.im
12.000 * [backup-simplify]: Simplify y.re into y.re
12.000 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ -1 y.re) (/ -1 y.im))) in y.im
12.000 * [taylor]: Taking taylor expansion of x.im in y.im
12.000 * [backup-simplify]: Simplify x.im into x.im
12.000 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.im
12.001 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
12.001 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.im
12.001 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.im
12.001 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
12.001 * [taylor]: Taking taylor expansion of -1 in y.im
12.001 * [backup-simplify]: Simplify -1 into -1
12.001 * [taylor]: Taking taylor expansion of y.re in y.im
12.001 * [backup-simplify]: Simplify y.re into y.re
12.001 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
12.001 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
12.001 * [taylor]: Taking taylor expansion of -1 in y.im
12.001 * [backup-simplify]: Simplify -1 into -1
12.001 * [taylor]: Taking taylor expansion of y.re in y.im
12.001 * [backup-simplify]: Simplify y.re into y.re
12.001 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
12.001 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.im
12.001 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
12.001 * [taylor]: Taking taylor expansion of -1 in y.im
12.001 * [backup-simplify]: Simplify -1 into -1
12.001 * [taylor]: Taking taylor expansion of y.im in y.im
12.001 * [backup-simplify]: Simplify 0 into 0
12.001 * [backup-simplify]: Simplify 1 into 1
12.001 * [backup-simplify]: Simplify (/ -1 1) into -1
12.001 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
12.001 * [taylor]: Taking taylor expansion of -1 in y.im
12.001 * [backup-simplify]: Simplify -1 into -1
12.001 * [taylor]: Taking taylor expansion of y.im in y.im
12.001 * [backup-simplify]: Simplify 0 into 0
12.001 * [backup-simplify]: Simplify 1 into 1
12.002 * [backup-simplify]: Simplify (/ -1 1) into -1
12.002 * [backup-simplify]: Simplify (* -1 -1) into 1
12.002 * [backup-simplify]: Simplify (+ 0 1) into 1
12.002 * [backup-simplify]: Simplify (sqrt 1) into 1
12.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.003 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.004 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.004 * [backup-simplify]: Simplify (+ 0 0) into 0
12.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.004 * [backup-simplify]: Simplify (* x.im 1) into x.im
12.005 * [backup-simplify]: Simplify (* y.re x.im) into (* y.re x.im)
12.005 * [backup-simplify]: Simplify (/ 1 (* y.re x.im)) into (/ 1 (* y.re x.im))
12.005 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in y.im
12.005 * [taylor]: Taking taylor expansion of (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))) in y.im
12.005 * [taylor]: Taking taylor expansion of y.im in y.im
12.005 * [backup-simplify]: Simplify 0 into 0
12.005 * [backup-simplify]: Simplify 1 into 1
12.005 * [taylor]: Taking taylor expansion of (* x.re (hypot (/ -1 y.re) (/ -1 y.im))) in y.im
12.005 * [taylor]: Taking taylor expansion of x.re in y.im
12.005 * [backup-simplify]: Simplify x.re into x.re
12.005 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.im
12.005 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
12.005 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.im
12.005 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.im
12.005 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
12.005 * [taylor]: Taking taylor expansion of -1 in y.im
12.005 * [backup-simplify]: Simplify -1 into -1
12.005 * [taylor]: Taking taylor expansion of y.re in y.im
12.005 * [backup-simplify]: Simplify y.re into y.re
12.005 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
12.005 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.im
12.005 * [taylor]: Taking taylor expansion of -1 in y.im
12.005 * [backup-simplify]: Simplify -1 into -1
12.005 * [taylor]: Taking taylor expansion of y.re in y.im
12.005 * [backup-simplify]: Simplify y.re into y.re
12.005 * [backup-simplify]: Simplify (/ -1 y.re) into (/ -1 y.re)
12.005 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.im
12.005 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
12.005 * [taylor]: Taking taylor expansion of -1 in y.im
12.005 * [backup-simplify]: Simplify -1 into -1
12.005 * [taylor]: Taking taylor expansion of y.im in y.im
12.005 * [backup-simplify]: Simplify 0 into 0
12.005 * [backup-simplify]: Simplify 1 into 1
12.006 * [backup-simplify]: Simplify (/ -1 1) into -1
12.006 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.im
12.006 * [taylor]: Taking taylor expansion of -1 in y.im
12.006 * [backup-simplify]: Simplify -1 into -1
12.006 * [taylor]: Taking taylor expansion of y.im in y.im
12.006 * [backup-simplify]: Simplify 0 into 0
12.006 * [backup-simplify]: Simplify 1 into 1
12.006 * [backup-simplify]: Simplify (/ -1 1) into -1
12.006 * [backup-simplify]: Simplify (* -1 -1) into 1
12.007 * [backup-simplify]: Simplify (+ 0 1) into 1
12.007 * [backup-simplify]: Simplify (sqrt 1) into 1
12.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.008 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.009 * [backup-simplify]: Simplify (+ 0 0) into 0
12.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.009 * [backup-simplify]: Simplify (* x.re 1) into x.re
12.009 * [backup-simplify]: Simplify (* 0 x.re) into 0
12.009 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 1)) into 0
12.010 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
12.010 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
12.010 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) in y.re
12.010 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in y.re
12.010 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))) in y.re
12.010 * [taylor]: Taking taylor expansion of y.re in y.re
12.010 * [backup-simplify]: Simplify 0 into 0
12.010 * [backup-simplify]: Simplify 1 into 1
12.010 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
12.010 * [taylor]: Taking taylor expansion of x.im in y.re
12.010 * [backup-simplify]: Simplify x.im into x.im
12.010 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
12.010 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
12.010 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
12.010 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
12.010 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
12.010 * [taylor]: Taking taylor expansion of -1 in y.re
12.010 * [backup-simplify]: Simplify -1 into -1
12.010 * [taylor]: Taking taylor expansion of y.re in y.re
12.010 * [backup-simplify]: Simplify 0 into 0
12.010 * [backup-simplify]: Simplify 1 into 1
12.010 * [backup-simplify]: Simplify (/ -1 1) into -1
12.010 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
12.010 * [taylor]: Taking taylor expansion of -1 in y.re
12.010 * [backup-simplify]: Simplify -1 into -1
12.010 * [taylor]: Taking taylor expansion of y.re in y.re
12.010 * [backup-simplify]: Simplify 0 into 0
12.010 * [backup-simplify]: Simplify 1 into 1
12.011 * [backup-simplify]: Simplify (/ -1 1) into -1
12.011 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
12.011 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
12.011 * [taylor]: Taking taylor expansion of -1 in y.re
12.011 * [backup-simplify]: Simplify -1 into -1
12.011 * [taylor]: Taking taylor expansion of y.im in y.re
12.011 * [backup-simplify]: Simplify y.im into y.im
12.011 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
12.011 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
12.011 * [taylor]: Taking taylor expansion of -1 in y.re
12.011 * [backup-simplify]: Simplify -1 into -1
12.011 * [taylor]: Taking taylor expansion of y.im in y.re
12.011 * [backup-simplify]: Simplify y.im into y.im
12.011 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
12.011 * [backup-simplify]: Simplify (* -1 -1) into 1
12.012 * [backup-simplify]: Simplify (+ 1 0) into 1
12.012 * [backup-simplify]: Simplify (sqrt 1) into 1
12.012 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.013 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.013 * [backup-simplify]: Simplify (+ 0 0) into 0
12.014 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.014 * [backup-simplify]: Simplify (* x.im 1) into x.im
12.014 * [backup-simplify]: Simplify (* 0 x.im) into 0
12.014 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0
12.014 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
12.014 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
12.014 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in y.re
12.014 * [taylor]: Taking taylor expansion of (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))) in y.re
12.014 * [taylor]: Taking taylor expansion of y.im in y.re
12.015 * [backup-simplify]: Simplify y.im into y.im
12.015 * [taylor]: Taking taylor expansion of (* x.re (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
12.015 * [taylor]: Taking taylor expansion of x.re in y.re
12.015 * [backup-simplify]: Simplify x.re into x.re
12.015 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
12.015 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
12.015 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
12.015 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
12.015 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
12.015 * [taylor]: Taking taylor expansion of -1 in y.re
12.015 * [backup-simplify]: Simplify -1 into -1
12.015 * [taylor]: Taking taylor expansion of y.re in y.re
12.015 * [backup-simplify]: Simplify 0 into 0
12.015 * [backup-simplify]: Simplify 1 into 1
12.015 * [backup-simplify]: Simplify (/ -1 1) into -1
12.015 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
12.015 * [taylor]: Taking taylor expansion of -1 in y.re
12.015 * [backup-simplify]: Simplify -1 into -1
12.015 * [taylor]: Taking taylor expansion of y.re in y.re
12.015 * [backup-simplify]: Simplify 0 into 0
12.015 * [backup-simplify]: Simplify 1 into 1
12.015 * [backup-simplify]: Simplify (/ -1 1) into -1
12.016 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
12.016 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
12.016 * [taylor]: Taking taylor expansion of -1 in y.re
12.016 * [backup-simplify]: Simplify -1 into -1
12.016 * [taylor]: Taking taylor expansion of y.im in y.re
12.016 * [backup-simplify]: Simplify y.im into y.im
12.016 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
12.016 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
12.016 * [taylor]: Taking taylor expansion of -1 in y.re
12.016 * [backup-simplify]: Simplify -1 into -1
12.016 * [taylor]: Taking taylor expansion of y.im in y.re
12.016 * [backup-simplify]: Simplify y.im into y.im
12.016 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
12.016 * [backup-simplify]: Simplify (* -1 -1) into 1
12.016 * [backup-simplify]: Simplify (+ 1 0) into 1
12.017 * [backup-simplify]: Simplify (sqrt 1) into 1
12.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.018 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.018 * [backup-simplify]: Simplify (+ 0 0) into 0
12.019 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.019 * [backup-simplify]: Simplify (* x.re 1) into x.re
12.019 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
12.019 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
12.019 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))))) in y.re
12.019 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im))))) in y.re
12.019 * [taylor]: Taking taylor expansion of (* y.re (* x.im (hypot (/ -1 y.re) (/ -1 y.im)))) in y.re
12.019 * [taylor]: Taking taylor expansion of y.re in y.re
12.019 * [backup-simplify]: Simplify 0 into 0
12.019 * [backup-simplify]: Simplify 1 into 1
12.019 * [taylor]: Taking taylor expansion of (* x.im (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
12.019 * [taylor]: Taking taylor expansion of x.im in y.re
12.019 * [backup-simplify]: Simplify x.im into x.im
12.019 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
12.019 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
12.019 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
12.019 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
12.019 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
12.019 * [taylor]: Taking taylor expansion of -1 in y.re
12.019 * [backup-simplify]: Simplify -1 into -1
12.019 * [taylor]: Taking taylor expansion of y.re in y.re
12.019 * [backup-simplify]: Simplify 0 into 0
12.019 * [backup-simplify]: Simplify 1 into 1
12.019 * [backup-simplify]: Simplify (/ -1 1) into -1
12.019 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
12.019 * [taylor]: Taking taylor expansion of -1 in y.re
12.019 * [backup-simplify]: Simplify -1 into -1
12.019 * [taylor]: Taking taylor expansion of y.re in y.re
12.019 * [backup-simplify]: Simplify 0 into 0
12.019 * [backup-simplify]: Simplify 1 into 1
12.020 * [backup-simplify]: Simplify (/ -1 1) into -1
12.020 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
12.020 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
12.020 * [taylor]: Taking taylor expansion of -1 in y.re
12.020 * [backup-simplify]: Simplify -1 into -1
12.020 * [taylor]: Taking taylor expansion of y.im in y.re
12.020 * [backup-simplify]: Simplify y.im into y.im
12.020 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
12.020 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
12.020 * [taylor]: Taking taylor expansion of -1 in y.re
12.020 * [backup-simplify]: Simplify -1 into -1
12.020 * [taylor]: Taking taylor expansion of y.im in y.re
12.020 * [backup-simplify]: Simplify y.im into y.im
12.020 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
12.020 * [backup-simplify]: Simplify (* -1 -1) into 1
12.020 * [backup-simplify]: Simplify (+ 1 0) into 1
12.021 * [backup-simplify]: Simplify (sqrt 1) into 1
12.021 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.022 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.023 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.023 * [backup-simplify]: Simplify (+ 0 0) into 0
12.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.024 * [backup-simplify]: Simplify (* x.im 1) into x.im
12.024 * [backup-simplify]: Simplify (* 0 x.im) into 0
12.024 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0
12.025 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
12.025 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
12.025 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im))))) in y.re
12.025 * [taylor]: Taking taylor expansion of (* y.im (* x.re (hypot (/ -1 y.re) (/ -1 y.im)))) in y.re
12.025 * [taylor]: Taking taylor expansion of y.im in y.re
12.025 * [backup-simplify]: Simplify y.im into y.im
12.025 * [taylor]: Taking taylor expansion of (* x.re (hypot (/ -1 y.re) (/ -1 y.im))) in y.re
12.025 * [taylor]: Taking taylor expansion of x.re in y.re
12.025 * [backup-simplify]: Simplify x.re into x.re
12.025 * [taylor]: Taking taylor expansion of (hypot (/ -1 y.re) (/ -1 y.im)) in y.re
12.025 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))))
12.025 * [taylor]: Taking taylor expansion of (+ (* (/ -1 y.re) (/ -1 y.re)) (* (/ -1 y.im) (/ -1 y.im))) in y.re
12.025 * [taylor]: Taking taylor expansion of (* (/ -1 y.re) (/ -1 y.re)) in y.re
12.025 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
12.025 * [taylor]: Taking taylor expansion of -1 in y.re
12.025 * [backup-simplify]: Simplify -1 into -1
12.025 * [taylor]: Taking taylor expansion of y.re in y.re
12.025 * [backup-simplify]: Simplify 0 into 0
12.025 * [backup-simplify]: Simplify 1 into 1
12.026 * [backup-simplify]: Simplify (/ -1 1) into -1
12.026 * [taylor]: Taking taylor expansion of (/ -1 y.re) in y.re
12.026 * [taylor]: Taking taylor expansion of -1 in y.re
12.026 * [backup-simplify]: Simplify -1 into -1
12.026 * [taylor]: Taking taylor expansion of y.re in y.re
12.026 * [backup-simplify]: Simplify 0 into 0
12.026 * [backup-simplify]: Simplify 1 into 1
12.030 * [backup-simplify]: Simplify (/ -1 1) into -1
12.030 * [taylor]: Taking taylor expansion of (* (/ -1 y.im) (/ -1 y.im)) in y.re
12.030 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
12.030 * [taylor]: Taking taylor expansion of -1 in y.re
12.030 * [backup-simplify]: Simplify -1 into -1
12.030 * [taylor]: Taking taylor expansion of y.im in y.re
12.030 * [backup-simplify]: Simplify y.im into y.im
12.030 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
12.030 * [taylor]: Taking taylor expansion of (/ -1 y.im) in y.re
12.031 * [taylor]: Taking taylor expansion of -1 in y.re
12.031 * [backup-simplify]: Simplify -1 into -1
12.031 * [taylor]: Taking taylor expansion of y.im in y.re
12.031 * [backup-simplify]: Simplify y.im into y.im
12.031 * [backup-simplify]: Simplify (/ -1 y.im) into (/ -1 y.im)
12.031 * [backup-simplify]: Simplify (* -1 -1) into 1
12.032 * [backup-simplify]: Simplify (+ 1 0) into 1
12.032 * [backup-simplify]: Simplify (sqrt 1) into 1
12.033 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.034 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0
12.035 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0
12.035 * [backup-simplify]: Simplify (+ 0 0) into 0
12.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
12.036 * [backup-simplify]: Simplify (* x.re 1) into x.re
12.036 * [backup-simplify]: Simplify (* y.im x.re) into (* y.im x.re)
12.036 * [backup-simplify]: Simplify (/ 1 (* y.im x.re)) into (/ 1 (* y.im x.re))
12.037 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
12.037 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.im
12.037 * [taylor]: Taking taylor expansion of x.im in y.im
12.037 * [backup-simplify]: Simplify x.im into x.im
12.037 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
12.037 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im
12.037 * [taylor]: Taking taylor expansion of x.im in x.im
12.037 * [backup-simplify]: Simplify 0 into 0
12.037 * [backup-simplify]: Simplify 1 into 1
12.037 * [backup-simplify]: Simplify (/ 1 1) into 1
12.037 * [taylor]: Taking taylor expansion of 1 in x.re
12.037 * [backup-simplify]: Simplify 1 into 1
12.038 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.039 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.039 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.039 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
12.039 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
12.040 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
12.041 * [backup-simplify]: Simplify (+ (* x.im (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ x.im (pow y.im 2)))
12.041 * [backup-simplify]: Simplify (+ (* 0 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 1 0) (* 0 x.im))) into 0
12.041 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
12.041 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.re))) into (- (/ 1 (* y.im x.re)))
12.041 * [backup-simplify]: Simplify (+ 0 (- (/ 1 (* y.im x.re)))) into (- (/ 1 (* y.im x.re)))
12.041 * [taylor]: Taking taylor expansion of (- (/ 1 (* y.im x.re))) in y.im
12.042 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.re)) in y.im
12.042 * [taylor]: Taking taylor expansion of (* y.im x.re) in y.im
12.042 * [taylor]: Taking taylor expansion of y.im in y.im
12.042 * [backup-simplify]: Simplify 0 into 0
12.042 * [backup-simplify]: Simplify 1 into 1
12.042 * [taylor]: Taking taylor expansion of x.re in y.im
12.042 * [backup-simplify]: Simplify x.re into x.re
12.042 * [backup-simplify]: Simplify (* 0 x.re) into 0
12.042 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
12.042 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
12.042 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0
12.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
12.043 * [backup-simplify]: Simplify (- 0) into 0
12.043 * [taylor]: Taking taylor expansion of 0 in x.im
12.043 * [backup-simplify]: Simplify 0 into 0
12.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
12.043 * [taylor]: Taking taylor expansion of 0 in x.im
12.043 * [backup-simplify]: Simplify 0 into 0
12.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
12.043 * [taylor]: Taking taylor expansion of 0 in x.re
12.043 * [backup-simplify]: Simplify 0 into 0
12.044 * [backup-simplify]: Simplify 1 into 1
12.044 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.045 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0
12.045 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
12.046 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)))) into 0
12.046 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (* 0 (/ -1 y.im))) into 0
12.046 * [backup-simplify]: Simplify (+ 0 0) into 0
12.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
12.047 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into 0
12.048 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 0 0) (* 0 x.im)))) into (* 1/2 (/ x.im (pow y.im 2)))
12.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ (* 1/2 (/ x.im (pow y.im 2))) x.im)) (* 0 (/ 0 x.im)))) into (- (* 1/2 (/ 1 (* (pow y.im 2) x.im))))
12.048 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 1)) into 0
12.049 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.re)) into 0
12.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ 0 (* y.im x.re))))) into 0
12.049 * [backup-simplify]: Simplify (- 0) into 0
12.049 * [backup-simplify]: Simplify (+ (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) 0) into (- (* 1/2 (/ 1 (* (pow y.im 2) x.im))))
12.049 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) in y.im
12.049 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y.im 2) x.im))) in y.im
12.049 * [taylor]: Taking taylor expansion of 1/2 in y.im
12.049 * [backup-simplify]: Simplify 1/2 into 1/2
12.049 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.im)) in y.im
12.049 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.im) in y.im
12.049 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
12.049 * [taylor]: Taking taylor expansion of y.im in y.im
12.049 * [backup-simplify]: Simplify 0 into 0
12.049 * [backup-simplify]: Simplify 1 into 1
12.049 * [taylor]: Taking taylor expansion of x.im in y.im
12.049 * [backup-simplify]: Simplify x.im into x.im
12.050 * [backup-simplify]: Simplify (* 1 1) into 1
12.050 * [backup-simplify]: Simplify (* 1 x.im) into x.im
12.050 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
12.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.051 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
12.051 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
12.051 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
12.052 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
12.052 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x.im)))) into 0
12.052 * [backup-simplify]: Simplify (- 0) into 0
12.052 * [taylor]: Taking taylor expansion of 0 in x.im
12.052 * [backup-simplify]: Simplify 0 into 0
12.053 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0
12.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
12.053 * [backup-simplify]: Simplify (- 0) into 0
12.053 * [taylor]: Taking taylor expansion of 0 in x.im
12.053 * [backup-simplify]: Simplify 0 into 0
12.054 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
12.054 * [taylor]: Taking taylor expansion of 0 in x.im
12.054 * [backup-simplify]: Simplify 0 into 0
12.054 * [taylor]: Taking taylor expansion of 0 in x.re
12.054 * [backup-simplify]: Simplify 0 into 0
12.054 * [taylor]: Taking taylor expansion of 0 in x.re
12.054 * [backup-simplify]: Simplify 0 into 0
12.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.054 * [taylor]: Taking taylor expansion of 0 in x.re
12.054 * [backup-simplify]: Simplify 0 into 0
12.054 * [backup-simplify]: Simplify 0 into 0
12.054 * [backup-simplify]: Simplify 0 into 0
12.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.056 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.056 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0
12.056 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
12.056 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ -1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
12.057 * [backup-simplify]: Simplify (+ (* (/ -1 y.im) 0) (+ (* 0 0) (* 0 (/ -1 y.im)))) into 0
12.057 * [backup-simplify]: Simplify (+ 0 0) into 0
12.058 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow y.im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow y.im 4))
12.059 * [backup-simplify]: Simplify (+ (* x.im (/ -1/8 (pow y.im 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))))) into (- (* 1/8 (/ x.im (pow y.im 4))))
12.060 * [backup-simplify]: Simplify (+ (* 0 (- (* 1/8 (/ x.im (pow y.im 4))))) (+ (* 1 0) (+ (* 0 (* 1/2 (/ x.im (pow y.im 2)))) (+ (* 0 0) (* 0 x.im))))) into 0
12.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ (* 1/2 (/ x.im (pow y.im 2))) x.im)) (* (- (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) (/ 0 x.im)))) into 0
12.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.062 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0
12.062 * [backup-simplify]: Simplify (* (/ -1 y.im) (/ -1 y.im)) into (/ 1 (pow y.im 2))
12.062 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
12.063 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
12.063 * [backup-simplify]: Simplify (+ (* x.re (/ 1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))) into (* 1/2 (/ x.re (pow y.im 2)))
12.064 * [backup-simplify]: Simplify (+ (* y.im (* 1/2 (/ x.re (pow y.im 2)))) (+ (* 0 0) (* 0 x.re))) into (* 1/2 (/ x.re y.im))
12.064 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.re)) (/ (* 1/2 (/ x.re y.im)) (* y.im x.re))) (* 0 (/ 0 (* y.im x.re))))) into (- (* 1/2 (/ 1 (* (pow y.im 3) x.re))))
12.064 * [backup-simplify]: Simplify (- (- (* 1/2 (/ 1 (* (pow y.im 3) x.re))))) into (* 1/2 (/ 1 (* (pow y.im 3) x.re)))
12.064 * [backup-simplify]: Simplify (+ 0 (* 1/2 (/ 1 (* (pow y.im 3) x.re)))) into (* 1/2 (/ 1 (* (pow y.im 3) x.re)))
12.064 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y.im 3) x.re))) in y.im
12.064 * [taylor]: Taking taylor expansion of 1/2 in y.im
12.064 * [backup-simplify]: Simplify 1/2 into 1/2
12.064 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 3) x.re)) in y.im
12.064 * [taylor]: Taking taylor expansion of (* (pow y.im 3) x.re) in y.im
12.064 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im
12.064 * [taylor]: Taking taylor expansion of y.im in y.im
12.064 * [backup-simplify]: Simplify 0 into 0
12.064 * [backup-simplify]: Simplify 1 into 1
12.064 * [taylor]: Taking taylor expansion of x.re in y.im
12.064 * [backup-simplify]: Simplify x.re into x.re
12.065 * [backup-simplify]: Simplify (* 1 1) into 1
12.065 * [backup-simplify]: Simplify (* 1 1) into 1
12.065 * [backup-simplify]: Simplify (* 1 x.re) into x.re
12.065 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
12.065 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
12.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
12.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.070 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.071 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
12.072 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.re)) into 0
12.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
12.073 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.re))) into 0
12.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
12.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
12.074 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.re))))) into 0
12.074 * [taylor]: Taking taylor expansion of 0 in x.im
12.074 * [backup-simplify]: Simplify 0 into 0
12.075 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
12.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
12.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
12.077 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.im))))) into 0
12.078 * [backup-simplify]: Simplify (- 0) into 0
12.078 * [taylor]: Taking taylor expansion of 0 in x.im
12.078 * [backup-simplify]: Simplify 0 into 0
12.079 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
12.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
12.080 * [backup-simplify]: Simplify (- 0) into 0
12.080 * [taylor]: Taking taylor expansion of 0 in x.im
12.080 * [backup-simplify]: Simplify 0 into 0
12.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
12.080 * [taylor]: Taking taylor expansion of 0 in x.im
12.080 * [backup-simplify]: Simplify 0 into 0
12.080 * [taylor]: Taking taylor expansion of 0 in x.re
12.080 * [backup-simplify]: Simplify 0 into 0
12.080 * [taylor]: Taking taylor expansion of 0 in x.re
12.080 * [backup-simplify]: Simplify 0 into 0
12.080 * [taylor]: Taking taylor expansion of 0 in x.re
12.080 * [backup-simplify]: Simplify 0 into 0
12.080 * [taylor]: Taking taylor expansion of 0 in x.re
12.080 * [backup-simplify]: Simplify 0 into 0
12.081 * [taylor]: Taking taylor expansion of 0 in x.re
12.081 * [backup-simplify]: Simplify 0 into 0
12.081 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
12.081 * [taylor]: Taking taylor expansion of 0 in x.re
12.081 * [backup-simplify]: Simplify 0 into 0
12.082 * [backup-simplify]: Simplify 0 into 0
12.082 * [backup-simplify]: Simplify 0 into 0
12.082 * [backup-simplify]: Simplify 0 into 0
12.082 * [backup-simplify]: Simplify 0 into 0
12.082 * [backup-simplify]: Simplify (* 1 (* 1 (* (/ 1 (/ 1 (- x.im))) (* 1 1)))) into (* -1 x.im)
12.082 * * * [progress]: simplifying candidates
12.085 * [simplify]: Simplifying:
  (expm1 (* (/ x.re (hypot y.re y.im)) y.im))
  (log1p (* (/ x.re (hypot y.re y.im)) y.im))
  (* (/ x.re (hypot y.re y.im)) y.im)
  (+ (- (log x.re) (log (hypot y.re y.im))) (log y.im))
  (+ (log (/ x.re (hypot y.re y.im))) (log y.im))
  (log (* (/ x.re (hypot y.re y.im)) y.im))
  (exp (* (/ x.re (hypot y.re y.im)) y.im))
  (* (/ (* (* x.re x.re) x.re) (* (* (hypot y.re y.im) (hypot y.re y.im)) (hypot y.re y.im))) (* (* y.im y.im) y.im))
  (* (* (* (/ x.re (hypot y.re y.im)) (/ x.re (hypot y.re y.im))) (/ x.re (hypot y.re y.im))) (* (* y.im y.im) y.im))
  (* (cbrt (* (/ x.re (hypot y.re y.im)) y.im)) (cbrt (* (/ x.re (hypot y.re y.im)) y.im)))
  (cbrt (* (/ x.re (hypot y.re y.im)) y.im))
  (* (* (* (/ x.re (hypot y.re y.im)) y.im) (* (/ x.re (hypot y.re y.im)) y.im)) (* (/ x.re (hypot y.re y.im)) y.im))
  (sqrt (* (/ x.re (hypot y.re y.im)) y.im))
  (sqrt (* (/ x.re (hypot y.re y.im)) y.im))
  (* (sqrt (/ x.re (hypot y.re y.im))) (sqrt y.im))
  (* (sqrt (/ x.re (hypot y.re y.im))) (sqrt y.im))
  (* (/ (sqrt x.re) (sqrt (hypot y.re y.im))) (sqrt y.im))
  (* (/ (sqrt x.re) (sqrt (hypot y.re y.im))) (sqrt y.im))
  (* (/ x.re (hypot y.re y.im)) (* (cbrt y.im) (cbrt y.im)))
  (* (/ x.re (hypot y.re y.im)) (sqrt y.im))
  (* (/ x.re (hypot y.re y.im)) 1)
  (* (cbrt (/ x.re (hypot y.re y.im))) y.im)
  (* (sqrt (/ x.re (hypot y.re y.im))) y.im)
  (* (/ (cbrt x.re) (cbrt (hypot y.re y.im))) y.im)
  (* (/ (cbrt x.re) (sqrt (hypot y.re y.im))) y.im)
  (* (/ (cbrt x.re) (hypot y.re y.im)) y.im)
  (* (/ (sqrt x.re) (cbrt (hypot y.re y.im))) y.im)
  (* (/ (sqrt x.re) (sqrt (hypot y.re y.im))) y.im)
  (* (/ (sqrt x.re) (hypot y.re y.im)) y.im)
  (* (/ x.re (cbrt (hypot y.re y.im))) y.im)
  (* (/ x.re (sqrt (hypot y.re y.im))) y.im)
  (* (/ x.re (hypot y.re y.im)) y.im)
  (* (/ x.re (hypot y.re y.im)) y.im)
  (* (/ 1 (hypot y.re y.im)) y.im)
  (* x.re y.im)
  (expm1 (* (/ y.re (hypot y.re y.im)) x.im))
  (log1p (* (/ y.re (hypot y.re y.im)) x.im))
  (* (/ y.re (hypot y.re y.im)) x.im)
  (+ (- (log y.re) (log (hypot y.re y.im))) (log x.im))
  (+ (log (/ y.re (hypot y.re y.im))) (log x.im))
  (log (* (/ y.re (hypot y.re y.im)) x.im))
  (exp (* (/ y.re (hypot y.re y.im)) x.im))
  (* (/ (* (* y.re y.re) y.re) (* (* (hypot y.re y.im) (hypot y.re y.im)) (hypot y.re y.im))) (* (* x.im x.im) x.im))
  (* (* (* (/ y.re (hypot y.re y.im)) (/ y.re (hypot y.re y.im))) (/ y.re (hypot y.re y.im))) (* (* x.im x.im) x.im))
  (* (cbrt (* (/ y.re (hypot y.re y.im)) x.im)) (cbrt (* (/ y.re (hypot y.re y.im)) x.im)))
  (cbrt (* (/ y.re (hypot y.re y.im)) x.im))
  (* (* (* (/ y.re (hypot y.re y.im)) x.im) (* (/ y.re (hypot y.re y.im)) x.im)) (* (/ y.re (hypot y.re y.im)) x.im))
  (sqrt (* (/ y.re (hypot y.re y.im)) x.im))
  (sqrt (* (/ y.re (hypot y.re y.im)) x.im))
  (* (sqrt (/ y.re (hypot y.re y.im))) (sqrt x.im))
  (* (sqrt (/ y.re (hypot y.re y.im))) (sqrt x.im))
  (* (/ (sqrt y.re) (sqrt (hypot y.re y.im))) (sqrt x.im))
  (* (/ (sqrt y.re) (sqrt (hypot y.re y.im))) (sqrt x.im))
  (* (/ y.re (hypot y.re y.im)) (* (cbrt x.im) (cbrt x.im)))
  (* (/ y.re (hypot y.re y.im)) (sqrt x.im))
  (* (/ y.re (hypot y.re y.im)) 1)
  (* (cbrt (/ y.re (hypot y.re y.im))) x.im)
  (* (sqrt (/ y.re (hypot y.re y.im))) x.im)
  (* (/ (cbrt y.re) (cbrt (hypot y.re y.im))) x.im)
  (* (/ (cbrt y.re) (sqrt (hypot y.re y.im))) x.im)
  (* (/ (cbrt y.re) (hypot y.re y.im)) x.im)
  (* (/ (sqrt y.re) (cbrt (hypot y.re y.im))) x.im)
  (* (/ (sqrt y.re) (sqrt (hypot y.re y.im))) x.im)
  (* (/ (sqrt y.re) (hypot y.re y.im)) x.im)
  (* (/ y.re (cbrt (hypot y.re y.im))) x.im)
  (* (/ y.re (sqrt (hypot y.re y.im))) x.im)
  (* (/ y.re (hypot y.re y.im)) x.im)
  (* (/ y.re (hypot y.re y.im)) x.im)
  (* (/ 1 (hypot y.re y.im)) x.im)
  (* y.re x.im)
  (expm1 (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (log1p (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (- (log (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (log (hypot y.re y.im)))
  (log (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (exp (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (/ (* (* (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (* (* (hypot y.re y.im) (hypot y.re y.im)) (hypot y.re y.im)))
  (* (cbrt (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im))) (cbrt (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im))))
  (cbrt (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (* (* (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)) (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im))) (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (sqrt (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (sqrt (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (- (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (- (hypot y.re y.im))
  (/ (* (/ y.re (hypot y.re y.im)) x.im) (hypot y.re y.im))
  (/ (* (/ x.re (hypot y.re y.im)) y.im) (hypot y.re y.im))
  (/ (* (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (cbrt (hypot y.re y.im)))
  (/ (* (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))) (sqrt (hypot y.re y.im)))
  (/ (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (sqrt (hypot y.re y.im)))
  (/ (* (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))) 1)
  (/ (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (hypot y.re y.im))
  (/ (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (cbrt (hypot y.re y.im)))
  (/ (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) 1)
  (/ (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (hypot y.re y.im))
  (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (cbrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (sqrt (hypot y.re y.im)))
  (/ 1 1)
  (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im))
  (/ 1 (hypot y.re y.im))
  (/ (hypot y.re y.im) (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (sqrt (hypot y.re y.im)))
  (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) 1)
  (/ (hypot y.re y.im) (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))))
  (/ (hypot y.re y.im) (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))))
  (/ (hypot y.re y.im) (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (* (hypot y.re y.im) (hypot y.re y.im))
  (* (hypot y.re y.im) (* (hypot y.re y.im) (hypot y.re y.im)))
  (* (hypot y.re y.im) (+ (* (* (/ y.re (hypot y.re y.im)) x.im) (* (/ y.re (hypot y.re y.im)) x.im)) (+ (* (* (/ x.re (hypot y.re y.im)) y.im) (* (/ x.re (hypot y.re y.im)) y.im)) (* (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))))
  (* (hypot y.re y.im) (+ (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (fma (/ y.re (hypot y.re y.im)) x.im (- (* y.im (/ x.re (hypot y.re y.im)))))
  (fma (- y.im) (/ x.re (hypot y.re y.im)) (* y.im (/ x.re (hypot y.re y.im))))
  (expm1 (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (log1p (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (- (* (/ x.re (hypot y.re y.im)) y.im))
  (/ (exp (* (/ y.re (hypot y.re y.im)) x.im)) (exp (* (/ x.re (hypot y.re y.im)) y.im)))
  (log (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (exp (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (* (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))))
  (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (* (* (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (- (* y.re x.im) (* x.re y.im))
  (- (* (* y.re x.im) (hypot y.re y.im)) (* (hypot y.re y.im) (* x.re y.im)))
  (* (hypot y.re y.im) (hypot y.re y.im))
  (- (pow (* (/ y.re (hypot y.re y.im)) x.im) 3) (pow (* (/ x.re (hypot y.re y.im)) y.im) 3))
  (+ (* (* (/ y.re (hypot y.re y.im)) x.im) (* (/ y.re (hypot y.re y.im)) x.im)) (+ (* (* (/ x.re (hypot y.re y.im)) y.im) (* (/ x.re (hypot y.re y.im)) y.im)) (* (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))))
  (- (* (/ x.re (hypot y.re y.im)) y.im))
  (- (* (* (/ y.re (hypot y.re y.im)) x.im) (* (/ y.re (hypot y.re y.im)) x.im)) (* (* (/ x.re (hypot y.re y.im)) y.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (+ (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))
  (- (* (/ x.re (hypot y.re y.im)) y.im))
  0
  0
  0
  0
  0
  0
  0
  0
  0
  (* -1 x.re)
  x.im
  (* -1 x.im)
12.088 * * [simplify]: Extracting # 0 : cost  0
12.088 * * [simplify]: Extracting # 1 : cost  0
12.089 * * [simplify]: Extracting # 2 : cost  0
12.089 * * [simplify]: Extracting # 3 : cost  0
12.089 * * [simplify]: Extracting # 4 : cost  0
12.089 * * [simplify]: Extracting # 5 : cost  0
12.090 * * [simplify]: Extracting # 6 : cost  0
12.090 * * [simplify]: iteration  0 :  203  enodes  (cost  2079 )
12.153 * * [simplify]: Extracting # 0 : cost  0
12.154 * * [simplify]: Extracting # 1 : cost  0
12.155 * * [simplify]: Extracting # 2 : cost  0
12.156 * * [simplify]: Extracting # 3 : cost  0
12.157 * * [simplify]: Extracting # 4 : cost  0
12.158 * * [simplify]: iteration  1 :  483  enodes  (cost  1982 )
12.498 * * [simplify]: Extracting # 0 : cost  0
12.502 * * [simplify]: Extracting # 1 : cost  0
12.505 * * [simplify]: Extracting # 2 : cost  0
12.508 * * [simplify]: Extracting # 3 : cost  0
12.511 * * [simplify]: Extracting # 4 : cost  0
12.515 * * [simplify]: Extracting # 5 : cost  0
12.518 * * [simplify]: iteration  2 :  1462  enodes  (cost  1825 )
13.546 * * [simplify]: Extracting # 0 : cost  0
13.553 * * [simplify]: Extracting # 1 : cost  0
13.566 * * [simplify]: Extracting # 2 : cost  0
13.572 * * [simplify]: Extracting # 3 : cost  0
13.578 * * [simplify]: Extracting # 4 : cost  0
13.589 * * [simplify]: iteration done:  5000  enodes  (cost  1825 )
13.590 * [simplify]: Simplified to:
  (expm1 (* (/ x.re (hypot y.re y.im)) y.im))
  (log1p (* (/ x.re (hypot y.re y.im)) y.im))
  (* y.im (/ x.re (hypot y.re y.im)))
  (log (* (/ x.re (hypot y.re y.im)) y.im))
  (log (* (/ x.re (hypot y.re y.im)) y.im))
  (log (* (/ x.re (hypot y.re y.im)) y.im))
  (exp (* (/ x.re (hypot y.re y.im)) y.im))
  (pow (* y.im (/ x.re (hypot y.re y.im))) 3)
  (pow (* y.im (/ x.re (hypot y.re y.im))) 3)
  (* (cbrt (* (/ x.re (hypot y.re y.im)) y.im)) (cbrt (* (/ x.re (hypot y.re y.im)) y.im)))
  (cbrt (* (/ x.re (hypot y.re y.im)) y.im))
  (pow (* y.im (/ x.re (hypot y.re y.im))) 3)
  (sqrt (* (/ x.re (hypot y.re y.im)) y.im))
  (sqrt (* (/ x.re (hypot y.re y.im)) y.im))
  (* (sqrt (/ x.re (hypot y.re y.im))) (sqrt y.im))
  (* (sqrt (/ x.re (hypot y.re y.im))) (sqrt y.im))
  (* (/ (sqrt x.re) (sqrt (hypot y.re y.im))) (sqrt y.im))
  (* (/ (sqrt x.re) (sqrt (hypot y.re y.im))) (sqrt y.im))
  (* (/ x.re (hypot y.re y.im)) (* (cbrt y.im) (cbrt y.im)))
  (* (/ x.re (hypot y.re y.im)) (sqrt y.im))
  (/ x.re (hypot y.re y.im))
  (* (cbrt (/ x.re (hypot y.re y.im))) y.im)
  (* (sqrt (/ x.re (hypot y.re y.im))) y.im)
  (* (/ (cbrt x.re) (cbrt (hypot y.re y.im))) y.im)
  (* (/ (cbrt x.re) (sqrt (hypot y.re y.im))) y.im)
  (* (/ (cbrt x.re) (hypot y.re y.im)) y.im)
  (* (/ (sqrt x.re) (cbrt (hypot y.re y.im))) y.im)
  (* (/ (sqrt x.re) (sqrt (hypot y.re y.im))) y.im)
  (* (/ (sqrt x.re) (hypot y.re y.im)) y.im)
  (* (/ x.re (cbrt (hypot y.re y.im))) y.im)
  (* (/ x.re (sqrt (hypot y.re y.im))) y.im)
  (* y.im (/ x.re (hypot y.re y.im)))
  (* y.im (/ x.re (hypot y.re y.im)))
  (/ y.im (hypot y.re y.im))
  (* x.re y.im)
  (expm1 (* (/ y.re (hypot y.re y.im)) x.im))
  (log1p (* (/ y.re (hypot y.re y.im)) x.im))
  (/ (* y.re x.im) (hypot y.re y.im))
  (log (* (/ y.re (hypot y.re y.im)) x.im))
  (log (* (/ y.re (hypot y.re y.im)) x.im))
  (log (* (/ y.re (hypot y.re y.im)) x.im))
  (exp (* (/ y.re (hypot y.re y.im)) x.im))
  (pow (/ (* y.re x.im) (hypot y.re y.im)) 3)
  (pow (/ (* y.re x.im) (hypot y.re y.im)) 3)
  (* (cbrt (* (/ y.re (hypot y.re y.im)) x.im)) (cbrt (* (/ y.re (hypot y.re y.im)) x.im)))
  (cbrt (* (/ y.re (hypot y.re y.im)) x.im))
  (pow (/ (* y.re x.im) (hypot y.re y.im)) 3)
  (sqrt (* (/ y.re (hypot y.re y.im)) x.im))
  (sqrt (* (/ y.re (hypot y.re y.im)) x.im))
  (* (sqrt (/ y.re (hypot y.re y.im))) (sqrt x.im))
  (* (sqrt (/ y.re (hypot y.re y.im))) (sqrt x.im))
  (* (/ (sqrt y.re) (sqrt (hypot y.re y.im))) (sqrt x.im))
  (* (/ (sqrt y.re) (sqrt (hypot y.re y.im))) (sqrt x.im))
  (* (/ y.re (hypot y.re y.im)) (* (cbrt x.im) (cbrt x.im)))
  (* (/ y.re (hypot y.re y.im)) (sqrt x.im))
  (/ y.re (hypot y.re y.im))
  (* (cbrt (/ y.re (hypot y.re y.im))) x.im)
  (* (sqrt (/ y.re (hypot y.re y.im))) x.im)
  (* (/ (cbrt y.re) (cbrt (hypot y.re y.im))) x.im)
  (* (/ (cbrt y.re) (sqrt (hypot y.re y.im))) x.im)
  (* (/ (cbrt y.re) (hypot y.re y.im)) x.im)
  (* (/ (sqrt y.re) (cbrt (hypot y.re y.im))) x.im)
  (* (/ (sqrt y.re) (sqrt (hypot y.re y.im))) x.im)
  (* (/ (sqrt y.re) (hypot y.re y.im)) x.im)
  (* (/ y.re (cbrt (hypot y.re y.im))) x.im)
  (* (/ y.re (sqrt (hypot y.re y.im))) x.im)
  (/ (* y.re x.im) (hypot y.re y.im))
  (/ (* y.re x.im) (hypot y.re y.im))
  (/ x.im (hypot y.re y.im))
  (* y.re x.im)
  (expm1 (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (log1p (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (log (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (log (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (exp (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (pow (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)) 3)
  (* (cbrt (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im))) (cbrt (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im))))
  (cbrt (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (pow (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)) 3)
  (sqrt (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (sqrt (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im)))
  (- (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (- (hypot y.re y.im))
  (/ (* (/ y.re (hypot y.re y.im)) x.im) (hypot y.re y.im))
  (/ (* (/ x.re (hypot y.re y.im)) y.im) (hypot y.re y.im))
  (/ (* (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (cbrt (hypot y.re y.im)))
  (/ (* (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))) (sqrt (hypot y.re y.im)))
  (/ (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (sqrt (hypot y.re y.im)))
  (* (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))))
  (/ (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (hypot y.re y.im))
  (/ (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (cbrt (hypot y.re y.im)))
  (/ (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (sqrt (hypot y.re y.im)))
  (/ (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (sqrt (hypot y.re y.im)))
  (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (/ (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (hypot y.re y.im))
  (/ 1 (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (cbrt (hypot y.re y.im)))
  (/ 1 (sqrt (hypot y.re y.im)))
  (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (sqrt (hypot y.re y.im)))
  1
  (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im))
  (/ 1 (hypot y.re y.im))
  (/ (hypot y.re y.im) (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (* (cbrt (hypot y.re y.im)) (cbrt (hypot y.re y.im))))
  (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) (sqrt (hypot y.re y.im)))
  (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))
  (/ (hypot y.re y.im) (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))))
  (/ (hypot y.re y.im) (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))))
  (/ (hypot y.re y.im) (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (* (hypot y.re y.im) (hypot y.re y.im))
  (pow (hypot y.re y.im) 3)
  (* (hypot y.re y.im) (fma (* (/ y.re (hypot y.re y.im)) x.im) (* (/ y.re (hypot y.re y.im)) x.im) (* (* (/ x.re (hypot y.re y.im)) y.im) (fma (/ y.re (hypot y.re y.im)) x.im (* (/ x.re (hypot y.re y.im)) y.im)))))
  (* (fma (/ y.re (hypot y.re y.im)) x.im (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im))
  (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))
  (* (/ x.re (hypot y.re y.im)) (+ (- y.im) y.im))
  (expm1 (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (log1p (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (- (* (/ x.re (hypot y.re y.im)) y.im))
  (exp (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (log (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (exp (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (* (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))) (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))))
  (cbrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (pow (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)) 3)
  (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (sqrt (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (- (* y.re x.im) (* x.re y.im))
  (* (hypot y.re y.im) (- (* y.re x.im) (* x.re y.im)))
  (* (hypot y.re y.im) (hypot y.re y.im))
  (- (pow (* (/ y.re (hypot y.re y.im)) x.im) 3) (pow (* (/ x.re (hypot y.re y.im)) y.im) 3))
  (fma (* (/ y.re (hypot y.re y.im)) x.im) (* (/ y.re (hypot y.re y.im)) x.im) (* (* (/ x.re (hypot y.re y.im)) y.im) (fma (/ y.re (hypot y.re y.im)) x.im (* (/ x.re (hypot y.re y.im)) y.im))))
  (- (* (/ x.re (hypot y.re y.im)) y.im))
  (* (fma (/ y.re (hypot y.re y.im)) x.im (* (/ x.re (hypot y.re y.im)) y.im)) (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im)))
  (fma (/ y.re (hypot y.re y.im)) x.im (* (/ x.re (hypot y.re y.im)) y.im))
  (- (* (/ x.re (hypot y.re y.im)) y.im))
  0
  0
  0
  0
  0
  0
  0
  0
  0
  (- x.re)
  x.im
  (- x.im)
13.592 * * * [progress]: adding candidates to table
14.119 * [progress]: [Phase 3 of 3] Extracting.
14.119 * * [regime]: Finding splitpoints for: (#<alt (λ (x.re x.im y.re y.im) (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (/ (fma y.im x.re (- (* y.re x.im))) (- (fma y.re y.re (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (* (- (* y.re x.im) (* y.im x.re)) (/ (/ 1 (hypot y.re y.im)) (hypot y.re y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (hypot y.re y.im)) (* (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* y.re (/ x.im (hypot y.re y.im))) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* x.re (/ y.im (hypot y.re y.im)))) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ 1 (/ (hypot y.re y.im) (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (* (/ x.re (hypot y.re y.im)) (sqrt y.im)) (sqrt y.im))) (hypot y.re y.im))))>)
14.124 * * * [regime-changes]: Trying 4 branch expressions: (y.im y.re x.im x.re)
14.125 * * * * [regimes]: Trying to branch on y.im from (#<alt (λ (x.re x.im y.re y.im) (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (/ (fma y.im x.re (- (* y.re x.im))) (- (fma y.re y.re (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (* (- (* y.re x.im) (* y.im x.re)) (/ (/ 1 (hypot y.re y.im)) (hypot y.re y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (hypot y.re y.im)) (* (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* y.re (/ x.im (hypot y.re y.im))) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* x.re (/ y.im (hypot y.re y.im)))) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ 1 (/ (hypot y.re y.im) (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (* (/ x.re (hypot y.re y.im)) (sqrt y.im)) (sqrt y.im))) (hypot y.re y.im))))>)
14.194 * * * * [regimes]: Trying to branch on y.re from (#<alt (λ (x.re x.im y.re y.im) (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (/ (fma y.im x.re (- (* y.re x.im))) (- (fma y.re y.re (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (* (- (* y.re x.im) (* y.im x.re)) (/ (/ 1 (hypot y.re y.im)) (hypot y.re y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (hypot y.re y.im)) (* (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* y.re (/ x.im (hypot y.re y.im))) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* x.re (/ y.im (hypot y.re y.im)))) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ 1 (/ (hypot y.re y.im) (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (* (/ x.re (hypot y.re y.im)) (sqrt y.im)) (sqrt y.im))) (hypot y.re y.im))))>)
14.231 * * * * [regimes]: Trying to branch on x.im from (#<alt (λ (x.re x.im y.re y.im) (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (/ (fma y.im x.re (- (* y.re x.im))) (- (fma y.re y.re (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (* (- (* y.re x.im) (* y.im x.re)) (/ (/ 1 (hypot y.re y.im)) (hypot y.re y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (hypot y.re y.im)) (* (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* y.re (/ x.im (hypot y.re y.im))) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* x.re (/ y.im (hypot y.re y.im)))) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ 1 (/ (hypot y.re y.im) (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (* (/ x.re (hypot y.re y.im)) (sqrt y.im)) (sqrt y.im))) (hypot y.re y.im))))>)
14.291 * * * * [regimes]: Trying to branch on x.re from (#<alt (λ (x.re x.im y.re y.im) (* (/ 1 (hypot y.re y.im)) (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (/ (fma y.im x.re (- (* y.re x.im))) (- (fma y.re y.re (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (* (- (* y.re x.im) (* y.im x.re)) (/ (/ 1 (hypot y.re y.im)) (hypot y.re y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (/ 1 (hypot y.re y.im)) (* (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))) (sqrt (/ (- (* x.im y.re) (* x.re y.im)) (hypot y.re y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* y.re (/ x.im (hypot y.re y.im))) (* (/ x.re (hypot y.re y.im)) y.im)) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* x.re (/ y.im (hypot y.re y.im)))) (hypot y.re y.im))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ 1 (/ (hypot y.re y.im) (- (* (/ y.re (hypot y.re y.im)) x.im) (* (/ x.re (hypot y.re y.im)) y.im))))))> #<alt (λ (x.re x.im y.re y.im) (* 1 (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* (* (/ x.re (hypot y.re y.im)) (sqrt y.im)) (sqrt y.im))) (hypot y.re y.im))))>)
14.336 * * * [regime]: Found split indices: #<option (#s(si 5 255))>
14.336 * [simplify]: Simplifying:
  (* 1 (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* x.re (/ y.im (hypot y.re y.im)))) (hypot y.re y.im)))
14.336 * * [simplify]: Extracting # 0 : cost  0
14.336 * * [simplify]: Extracting # 1 : cost  0
14.336 * * [simplify]: Extracting # 2 : cost  0
14.336 * * [simplify]: Extracting # 3 : cost  0
14.336 * * [simplify]: Extracting # 4 : cost  0
14.336 * * [simplify]: Extracting # 5 : cost  0
14.336 * * [simplify]: Extracting # 6 : cost  0
14.336 * * [simplify]: Extracting # 7 : cost  0
14.336 * * [simplify]: Extracting # 8 : cost  0
14.336 * * [simplify]: iteration  0 :  13  enodes  (cost  21 )
14.337 * * [simplify]: Extracting # 0 : cost  0
14.337 * * [simplify]: Extracting # 1 : cost  0
14.338 * * [simplify]: iteration  1 :  18  enodes  (cost  19 )
14.338 * * [simplify]: Extracting # 0 : cost  0
14.338 * * [simplify]: iteration done:  18  enodes  (cost  19 )
14.338 * [simplify]: Simplified to:
  (/ (- (* (/ y.re (hypot y.re y.im)) x.im) (* x.re (/ y.im (hypot y.re y.im)))) (hypot y.re y.im))
16.140 * [regime-testing]: Baseline error score: 0.43170115579297424
16.145 * [regime-testing]: Oracle error score: 0.013574817164735737
16.153 * [regime-testing]: End program error score: 0.43170115579297424