12.527 * [progress]: [Phase 1 of 3] Setting up.
0.002 * * * [progress]: [1/2] Preparing points
0.048 * * * [progress]: [2/2] Setting up program.
0.055 * [progress]: [Phase 2 of 3] Improving.
0.056 * [simplify]: Simplifying:
  (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
0.056 * * [simplify]: iteration 0: 11 enodes
0.059 * * [simplify]: iteration 1: 15 enodes
0.063 * * [simplify]: iteration complete: 15 enodes
0.063 * * [simplify]: Extracting #0: cost 1 inf + 0
0.063 * * [simplify]: Extracting #1: cost 3 inf + 0
0.063 * * [simplify]: Extracting #2: cost 7 inf + 0
0.064 * * [simplify]: Extracting #3: cost 11 inf + 0
0.064 * * [simplify]: Extracting #4: cost 3 inf + 20
0.064 * * [simplify]: Extracting #5: cost 0 inf + 45
0.064 * [simplify]: Simplified to:
  (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))
0.075 * * [progress]: iteration 1 / 4
0.075 * * * [progress]: picking best candidate
0.082 * * * * [pick]: Picked  #<alt (λ (x.re x.im y.re y.im) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))>
0.082 * * * [progress]: localizing error
0.112 * * * [progress]: generating rewritten candidates
0.113 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
0.165 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
0.173 * * * [progress]: generating series expansions
0.173 * * * * [progress]: [ 1 / 2 ] generating series at (2)
0.173 * [backup-simplify]: Simplify (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) into (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2)))
0.173 * [approximate]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in (x.re y.re x.im y.im) around 0
0.173 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in y.im
0.173 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.im
0.173 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
0.173 * [taylor]: Taking taylor expansion of y.im in y.im
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.173 * [taylor]: Taking taylor expansion of x.im in y.im
0.173 * [backup-simplify]: Simplify x.im into x.im
0.173 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
0.173 * [taylor]: Taking taylor expansion of y.re in y.im
0.173 * [backup-simplify]: Simplify y.re into y.re
0.173 * [taylor]: Taking taylor expansion of x.re in y.im
0.173 * [backup-simplify]: Simplify x.re into x.re
0.173 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
0.173 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
0.173 * [taylor]: Taking taylor expansion of y.re in y.im
0.173 * [backup-simplify]: Simplify y.re into y.re
0.173 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
0.173 * [taylor]: Taking taylor expansion of y.im in y.im
0.173 * [backup-simplify]: Simplify 0 into 0
0.173 * [backup-simplify]: Simplify 1 into 1
0.173 * [backup-simplify]: Simplify (* 0 x.im) into 0
0.174 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
0.174 * [backup-simplify]: Simplify (+ 0 (* y.re x.re)) into (* y.re x.re)
0.174 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.174 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
0.174 * [backup-simplify]: Simplify (/ (* y.re x.re) (pow y.re 2)) into (/ x.re y.re)
0.174 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in x.im
0.174 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.im
0.174 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
0.174 * [taylor]: Taking taylor expansion of y.im in x.im
0.174 * [backup-simplify]: Simplify y.im into y.im
0.174 * [taylor]: Taking taylor expansion of x.im in x.im
0.174 * [backup-simplify]: Simplify 0 into 0
0.174 * [backup-simplify]: Simplify 1 into 1
0.174 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
0.174 * [taylor]: Taking taylor expansion of y.re in x.im
0.174 * [backup-simplify]: Simplify y.re into y.re
0.174 * [taylor]: Taking taylor expansion of x.re in x.im
0.174 * [backup-simplify]: Simplify x.re into x.re
0.174 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.im
0.174 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
0.174 * [taylor]: Taking taylor expansion of y.re in x.im
0.174 * [backup-simplify]: Simplify y.re into y.re
0.174 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
0.174 * [taylor]: Taking taylor expansion of y.im in x.im
0.174 * [backup-simplify]: Simplify y.im into y.im
0.174 * [backup-simplify]: Simplify (* y.im 0) into 0
0.174 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
0.174 * [backup-simplify]: Simplify (+ 0 (* y.re x.re)) into (* y.re x.re)
0.174 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.174 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.175 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
0.175 * [backup-simplify]: Simplify (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2)))
0.175 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in y.re
0.175 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.re
0.175 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
0.175 * [taylor]: Taking taylor expansion of y.im in y.re
0.175 * [backup-simplify]: Simplify y.im into y.im
0.175 * [taylor]: Taking taylor expansion of x.im in y.re
0.175 * [backup-simplify]: Simplify x.im into x.im
0.175 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
0.175 * [taylor]: Taking taylor expansion of y.re in y.re
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [taylor]: Taking taylor expansion of x.re in y.re
0.175 * [backup-simplify]: Simplify x.re into x.re
0.175 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
0.175 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.175 * [taylor]: Taking taylor expansion of y.re in y.re
0.175 * [backup-simplify]: Simplify 0 into 0
0.175 * [backup-simplify]: Simplify 1 into 1
0.175 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.175 * [taylor]: Taking taylor expansion of y.im in y.re
0.175 * [backup-simplify]: Simplify y.im into y.im
0.175 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.175 * [backup-simplify]: Simplify (* 0 x.re) into 0
0.175 * [backup-simplify]: Simplify (+ (* y.im x.im) 0) into (* y.im x.im)
0.175 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.175 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
0.175 * [backup-simplify]: Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im)
0.175 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in x.re
0.175 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.re
0.175 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
0.175 * [taylor]: Taking taylor expansion of y.im in x.re
0.175 * [backup-simplify]: Simplify y.im into y.im
0.175 * [taylor]: Taking taylor expansion of x.im in x.re
0.176 * [backup-simplify]: Simplify x.im into x.im
0.176 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
0.176 * [taylor]: Taking taylor expansion of y.re in x.re
0.176 * [backup-simplify]: Simplify y.re into y.re
0.176 * [taylor]: Taking taylor expansion of x.re in x.re
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 1 into 1
0.176 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.re
0.176 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
0.176 * [taylor]: Taking taylor expansion of y.re in x.re
0.176 * [backup-simplify]: Simplify y.re into y.re
0.176 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
0.176 * [taylor]: Taking taylor expansion of y.im in x.re
0.176 * [backup-simplify]: Simplify y.im into y.im
0.176 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.176 * [backup-simplify]: Simplify (* y.re 0) into 0
0.176 * [backup-simplify]: Simplify (+ (* y.im x.im) 0) into (* y.im x.im)
0.176 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.176 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.176 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
0.176 * [backup-simplify]: Simplify (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2)))
0.176 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in x.re
0.176 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.re
0.176 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
0.176 * [taylor]: Taking taylor expansion of y.im in x.re
0.176 * [backup-simplify]: Simplify y.im into y.im
0.176 * [taylor]: Taking taylor expansion of x.im in x.re
0.176 * [backup-simplify]: Simplify x.im into x.im
0.176 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
0.176 * [taylor]: Taking taylor expansion of y.re in x.re
0.176 * [backup-simplify]: Simplify y.re into y.re
0.176 * [taylor]: Taking taylor expansion of x.re in x.re
0.176 * [backup-simplify]: Simplify 0 into 0
0.176 * [backup-simplify]: Simplify 1 into 1
0.176 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.re
0.177 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
0.177 * [taylor]: Taking taylor expansion of y.re in x.re
0.177 * [backup-simplify]: Simplify y.re into y.re
0.177 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
0.177 * [taylor]: Taking taylor expansion of y.im in x.re
0.177 * [backup-simplify]: Simplify y.im into y.im
0.177 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.177 * [backup-simplify]: Simplify (* y.re 0) into 0
0.177 * [backup-simplify]: Simplify (+ (* y.im x.im) 0) into (* y.im x.im)
0.177 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.177 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.177 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
0.177 * [backup-simplify]: Simplify (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2)))
0.177 * [taylor]: Taking taylor expansion of (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) in y.re
0.177 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
0.177 * [taylor]: Taking taylor expansion of y.im in y.re
0.177 * [backup-simplify]: Simplify y.im into y.im
0.177 * [taylor]: Taking taylor expansion of x.im in y.re
0.177 * [backup-simplify]: Simplify x.im into x.im
0.177 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
0.177 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.177 * [taylor]: Taking taylor expansion of y.re in y.re
0.177 * [backup-simplify]: Simplify 0 into 0
0.177 * [backup-simplify]: Simplify 1 into 1
0.177 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.177 * [taylor]: Taking taylor expansion of y.im in y.re
0.177 * [backup-simplify]: Simplify y.im into y.im
0.177 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.177 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.178 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
0.178 * [backup-simplify]: Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im)
0.178 * [taylor]: Taking taylor expansion of (/ x.im y.im) in x.im
0.178 * [taylor]: Taking taylor expansion of x.im in x.im
0.178 * [backup-simplify]: Simplify 0 into 0
0.178 * [backup-simplify]: Simplify 1 into 1
0.178 * [taylor]: Taking taylor expansion of y.im in x.im
0.178 * [backup-simplify]: Simplify y.im into y.im
0.178 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.178 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
0.178 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.179 * [backup-simplify]: Simplify (+ 0 y.re) into y.re
0.179 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
0.179 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.179 * [backup-simplify]: Simplify (+ 0 0) into 0
0.179 * [backup-simplify]: Simplify (- (/ y.re (+ (pow y.re 2) (pow y.im 2))) (+ (* (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into (/ y.re (+ (pow y.re 2) (pow y.im 2)))
0.180 * [taylor]: Taking taylor expansion of (/ y.re (+ (pow y.re 2) (pow y.im 2))) in y.re
0.180 * [taylor]: Taking taylor expansion of y.re in y.re
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 1 into 1
0.180 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
0.180 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.180 * [taylor]: Taking taylor expansion of y.re in y.re
0.180 * [backup-simplify]: Simplify 0 into 0
0.180 * [backup-simplify]: Simplify 1 into 1
0.180 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.180 * [taylor]: Taking taylor expansion of y.im in y.re
0.180 * [backup-simplify]: Simplify y.im into y.im
0.180 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.180 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
0.180 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.180 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
0.180 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.181 * [backup-simplify]: Simplify (+ 0 0) into 0
0.181 * [backup-simplify]: Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.im y.im) (/ 0 (pow y.im 2))))) into 0
0.181 * [taylor]: Taking taylor expansion of 0 in x.im
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [taylor]: Taking taylor expansion of 0 in y.im
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
0.181 * [taylor]: Taking taylor expansion of y.im in y.im
0.181 * [backup-simplify]: Simplify 0 into 0
0.181 * [backup-simplify]: Simplify 1 into 1
0.181 * [backup-simplify]: Simplify (/ 1 1) into 1
0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.182 * [backup-simplify]: Simplify 0 into 0
0.182 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
0.183 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
0.183 * [backup-simplify]: Simplify (+ 0 0) into 0
0.183 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
0.183 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.184 * [backup-simplify]: Simplify (+ 0 0) into 0
0.184 * [backup-simplify]: Simplify (- (/ 0 (+ (pow y.re 2) (pow y.im 2))) (+ (* (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))) (* (/ y.re (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0
0.185 * [taylor]: Taking taylor expansion of 0 in y.re
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [taylor]: Taking taylor expansion of 0 in x.im
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [taylor]: Taking taylor expansion of 0 in y.im
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
0.185 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
0.185 * [taylor]: Taking taylor expansion of y.im in x.im
0.185 * [backup-simplify]: Simplify y.im into y.im
0.185 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.185 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
0.185 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
0.185 * [taylor]: Taking taylor expansion of y.im in y.im
0.185 * [backup-simplify]: Simplify 0 into 0
0.185 * [backup-simplify]: Simplify 1 into 1
0.185 * [backup-simplify]: Simplify (* 1 1) into 1
0.185 * [backup-simplify]: Simplify (/ 1 1) into 1
0.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.187 * [backup-simplify]: Simplify 0 into 0
0.188 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
0.188 * [backup-simplify]: Simplify (* 1 1) into 1
0.188 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.189 * [backup-simplify]: Simplify (+ 1 0) into 1
0.189 * [backup-simplify]: Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.im y.im) (/ 1 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into (- (/ x.im (pow y.im 3)))
0.189 * [taylor]: Taking taylor expansion of (- (/ x.im (pow y.im 3))) in x.im
0.189 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 3)) in x.im
0.189 * [taylor]: Taking taylor expansion of x.im in x.im
0.189 * [backup-simplify]: Simplify 0 into 0
0.189 * [backup-simplify]: Simplify 1 into 1
0.189 * [taylor]: Taking taylor expansion of (pow y.im 3) in x.im
0.189 * [taylor]: Taking taylor expansion of y.im in x.im
0.189 * [backup-simplify]: Simplify y.im into y.im
0.189 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.189 * [backup-simplify]: Simplify (* y.im (pow y.im 2)) into (pow y.im 3)
0.190 * [backup-simplify]: Simplify (/ 1 (pow y.im 3)) into (/ 1 (pow y.im 3))
0.190 * [taylor]: Taking taylor expansion of 0 in y.im
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
0.190 * [taylor]: Taking taylor expansion of 0 in y.im
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (/ (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
0.190 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in (x.re y.re x.im y.im) around 0
0.190 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in y.im
0.190 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
0.190 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
0.190 * [taylor]: Taking taylor expansion of y.re in y.im
0.190 * [backup-simplify]: Simplify y.re into y.re
0.190 * [taylor]: Taking taylor expansion of x.re in y.im
0.190 * [backup-simplify]: Simplify x.re into x.re
0.190 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
0.190 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
0.190 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
0.190 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
0.190 * [taylor]: Taking taylor expansion of y.im in y.im
0.190 * [backup-simplify]: Simplify 0 into 0
0.190 * [backup-simplify]: Simplify 1 into 1
0.191 * [taylor]: Taking taylor expansion of x.im in y.im
0.191 * [backup-simplify]: Simplify x.im into x.im
0.191 * [backup-simplify]: Simplify (* 0 x.im) into 0
0.191 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
0.191 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
0.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
0.191 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
0.191 * [taylor]: Taking taylor expansion of y.re in y.im
0.191 * [backup-simplify]: Simplify y.re into y.re
0.191 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.191 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
0.191 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
0.191 * [taylor]: Taking taylor expansion of y.im in y.im
0.191 * [backup-simplify]: Simplify 0 into 0
0.191 * [backup-simplify]: Simplify 1 into 1
0.192 * [backup-simplify]: Simplify (* 1 1) into 1
0.192 * [backup-simplify]: Simplify (/ 1 1) into 1
0.192 * [backup-simplify]: Simplify (+ 0 (/ 1 x.im)) into (/ 1 x.im)
0.192 * [backup-simplify]: Simplify (+ 0 1) into 1
0.192 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
0.192 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.im
0.192 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
0.192 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
0.192 * [taylor]: Taking taylor expansion of y.re in x.im
0.192 * [backup-simplify]: Simplify y.re into y.re
0.192 * [taylor]: Taking taylor expansion of x.re in x.im
0.192 * [backup-simplify]: Simplify x.re into x.re
0.192 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
0.192 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
0.193 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
0.193 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
0.193 * [taylor]: Taking taylor expansion of y.im in x.im
0.193 * [backup-simplify]: Simplify y.im into y.im
0.193 * [taylor]: Taking taylor expansion of x.im in x.im
0.193 * [backup-simplify]: Simplify 0 into 0
0.193 * [backup-simplify]: Simplify 1 into 1
0.193 * [backup-simplify]: Simplify (* y.im 0) into 0
0.193 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.193 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
0.193 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
0.193 * [taylor]: Taking taylor expansion of y.re in x.im
0.193 * [backup-simplify]: Simplify y.re into y.re
0.193 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.193 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
0.193 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
0.193 * [taylor]: Taking taylor expansion of y.im in x.im
0.193 * [backup-simplify]: Simplify y.im into y.im
0.193 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.194 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.194 * [backup-simplify]: Simplify (+ 0 (/ 1 y.im)) into (/ 1 y.im)
0.194 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
0.194 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
0.194 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
0.194 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in y.re
0.194 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
0.194 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
0.194 * [taylor]: Taking taylor expansion of y.re in y.re
0.194 * [backup-simplify]: Simplify 0 into 0
0.194 * [backup-simplify]: Simplify 1 into 1
0.194 * [taylor]: Taking taylor expansion of x.re in y.re
0.194 * [backup-simplify]: Simplify x.re into x.re
0.195 * [backup-simplify]: Simplify (* 0 x.re) into 0
0.195 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
0.195 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
0.195 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
0.195 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
0.195 * [taylor]: Taking taylor expansion of y.im in y.re
0.195 * [backup-simplify]: Simplify y.im into y.im
0.195 * [taylor]: Taking taylor expansion of x.im in y.re
0.195 * [backup-simplify]: Simplify x.im into x.im
0.195 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.196 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.196 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
0.196 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.196 * [taylor]: Taking taylor expansion of y.re in y.re
0.196 * [backup-simplify]: Simplify 0 into 0
0.196 * [backup-simplify]: Simplify 1 into 1
0.196 * [backup-simplify]: Simplify (* 1 1) into 1
0.197 * [backup-simplify]: Simplify (/ 1 1) into 1
0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.197 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.197 * [taylor]: Taking taylor expansion of y.im in y.re
0.197 * [backup-simplify]: Simplify y.im into y.im
0.197 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.197 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.197 * [backup-simplify]: Simplify (+ (/ 1 x.re) 0) into (/ 1 x.re)
0.198 * [backup-simplify]: Simplify (+ 1 0) into 1
0.198 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re)
0.198 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.re
0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.re
0.198 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
0.198 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
0.198 * [taylor]: Taking taylor expansion of y.re in x.re
0.198 * [backup-simplify]: Simplify y.re into y.re
0.198 * [taylor]: Taking taylor expansion of x.re in x.re
0.198 * [backup-simplify]: Simplify 0 into 0
0.198 * [backup-simplify]: Simplify 1 into 1
0.198 * [backup-simplify]: Simplify (* y.re 0) into 0
0.199 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.199 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.199 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
0.199 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
0.199 * [taylor]: Taking taylor expansion of y.im in x.re
0.199 * [backup-simplify]: Simplify y.im into y.im
0.199 * [taylor]: Taking taylor expansion of x.im in x.re
0.199 * [backup-simplify]: Simplify x.im into x.im
0.199 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.199 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.re
0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
0.199 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
0.199 * [taylor]: Taking taylor expansion of y.re in x.re
0.199 * [backup-simplify]: Simplify y.re into y.re
0.199 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.200 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
0.200 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
0.200 * [taylor]: Taking taylor expansion of y.im in x.re
0.200 * [backup-simplify]: Simplify y.im into y.im
0.200 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.200 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.200 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
0.201 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
0.201 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
0.201 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.re
0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.re
0.201 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
0.201 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
0.201 * [taylor]: Taking taylor expansion of y.re in x.re
0.201 * [backup-simplify]: Simplify y.re into y.re
0.201 * [taylor]: Taking taylor expansion of x.re in x.re
0.201 * [backup-simplify]: Simplify 0 into 0
0.201 * [backup-simplify]: Simplify 1 into 1
0.202 * [backup-simplify]: Simplify (* y.re 0) into 0
0.202 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.202 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.202 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
0.202 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
0.202 * [taylor]: Taking taylor expansion of y.im in x.re
0.202 * [backup-simplify]: Simplify y.im into y.im
0.202 * [taylor]: Taking taylor expansion of x.im in x.re
0.202 * [backup-simplify]: Simplify x.im into x.im
0.202 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.202 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.re
0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
0.203 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
0.203 * [taylor]: Taking taylor expansion of y.re in x.re
0.203 * [backup-simplify]: Simplify y.re into y.re
0.203 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.203 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
0.203 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
0.203 * [taylor]: Taking taylor expansion of y.im in x.re
0.203 * [backup-simplify]: Simplify y.im into y.im
0.203 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.203 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.203 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
0.204 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
0.204 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
0.204 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
0.204 * [taylor]: Taking taylor expansion of (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
0.204 * [taylor]: Taking taylor expansion of y.re in y.re
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
0.204 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.204 * [taylor]: Taking taylor expansion of y.re in y.re
0.204 * [backup-simplify]: Simplify 0 into 0
0.204 * [backup-simplify]: Simplify 1 into 1
0.205 * [backup-simplify]: Simplify (* 1 1) into 1
0.205 * [backup-simplify]: Simplify (/ 1 1) into 1
0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.205 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.205 * [taylor]: Taking taylor expansion of y.im in y.re
0.205 * [backup-simplify]: Simplify y.im into y.im
0.205 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.206 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.206 * [backup-simplify]: Simplify (+ 1 0) into 1
0.207 * [backup-simplify]: Simplify (* 0 1) into 0
0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.210 * [backup-simplify]: Simplify (+ 0 0) into 0
0.211 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1)) into 1
0.211 * [backup-simplify]: Simplify (/ 1 1) into 1
0.211 * [taylor]: Taking taylor expansion of 1 in x.im
0.212 * [backup-simplify]: Simplify 1 into 1
0.212 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
0.213 * [backup-simplify]: Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
0.213 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
0.213 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
0.213 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.214 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
0.214 * [backup-simplify]: Simplify (+ 0 0) into 0
0.215 * [backup-simplify]: Simplify (- (/ (/ 1 (* y.im x.im)) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
0.216 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
0.216 * [taylor]: Taking taylor expansion of (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
0.216 * [taylor]: Taking taylor expansion of y.im in y.re
0.216 * [backup-simplify]: Simplify y.im into y.im
0.216 * [taylor]: Taking taylor expansion of (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
0.216 * [taylor]: Taking taylor expansion of x.im in y.re
0.216 * [backup-simplify]: Simplify x.im into x.im
0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
0.216 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
0.216 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.216 * [taylor]: Taking taylor expansion of y.re in y.re
0.216 * [backup-simplify]: Simplify 0 into 0
0.216 * [backup-simplify]: Simplify 1 into 1
0.216 * [backup-simplify]: Simplify (* 1 1) into 1
0.217 * [backup-simplify]: Simplify (/ 1 1) into 1
0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.217 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.217 * [taylor]: Taking taylor expansion of y.im in y.re
0.217 * [backup-simplify]: Simplify y.im into y.im
0.217 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.217 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.217 * [backup-simplify]: Simplify (+ 1 0) into 1
0.218 * [backup-simplify]: Simplify (* x.im 1) into x.im
0.218 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.218 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.220 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
0.221 * [backup-simplify]: Simplify (+ (* 0 (/ 1 (pow y.im 2))) (+ (* 1 0) (* 0 1))) into 0
0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.221 * [taylor]: Taking taylor expansion of 0 in x.im
0.221 * [backup-simplify]: Simplify 0 into 0
0.221 * [taylor]: Taking taylor expansion of 1 in y.im
0.222 * [backup-simplify]: Simplify 1 into 1
0.222 * [backup-simplify]: Simplify 0 into 0
0.222 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.223 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
0.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
0.223 * [backup-simplify]: Simplify (+ 0 0) into 0
0.224 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
0.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
0.224 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
0.225 * [backup-simplify]: Simplify (+ 0 0) into 0
0.227 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
0.227 * [taylor]: Taking taylor expansion of 0 in y.re
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [taylor]: Taking taylor expansion of 0 in x.im
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
0.227 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
0.227 * [taylor]: Taking taylor expansion of y.im in x.im
0.227 * [backup-simplify]: Simplify y.im into y.im
0.227 * [taylor]: Taking taylor expansion of x.im in x.im
0.227 * [backup-simplify]: Simplify 0 into 0
0.227 * [backup-simplify]: Simplify 1 into 1
0.227 * [backup-simplify]: Simplify (* y.im 0) into 0
0.227 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.228 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.228 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
0.228 * [taylor]: Taking taylor expansion of y.im in y.im
0.228 * [backup-simplify]: Simplify 0 into 0
0.228 * [backup-simplify]: Simplify 1 into 1
0.228 * [backup-simplify]: Simplify (/ 1 1) into 1
0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.230 * [backup-simplify]: Simplify 0 into 0
0.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.232 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
0.233 * [backup-simplify]: Simplify (+ 0 0) into 0
0.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y.im 2))
0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
0.235 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.im
0.235 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
0.235 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
0.235 * [taylor]: Taking taylor expansion of y.im in x.im
0.235 * [backup-simplify]: Simplify y.im into y.im
0.235 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.235 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.236 * [taylor]: Taking taylor expansion of 0 in y.im
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [taylor]: Taking taylor expansion of 0 in y.im
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.236 * [backup-simplify]: Simplify 0 into 0
0.237 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.238 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
0.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
0.238 * [backup-simplify]: Simplify (+ 0 0) into 0
0.239 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0
0.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
0.241 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
0.241 * [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
0.242 * [backup-simplify]: Simplify (+ 0 0) into 0
0.244 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
0.244 * [taylor]: Taking taylor expansion of 0 in y.re
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [taylor]: Taking taylor expansion of 0 in x.im
0.244 * [backup-simplify]: Simplify 0 into 0
0.244 * [taylor]: Taking taylor expansion of 0 in x.im
0.244 * [backup-simplify]: Simplify 0 into 0
0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.246 * [backup-simplify]: Simplify (+ 0 0) into 0
0.247 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0
0.247 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
0.247 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
0.247 * [taylor]: Taking taylor expansion of 0 in x.im
0.247 * [backup-simplify]: Simplify 0 into 0
0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.250 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
0.251 * [backup-simplify]: Simplify (+ 0 0) into 0
0.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (pow y.im 2))) (+ (* 0 0) (* 0 1))))) into 0
0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
0.254 * [taylor]: Taking taylor expansion of 0 in x.im
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [taylor]: Taking taylor expansion of 0 in y.im
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.254 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (/ (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
0.255 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in (x.re y.re x.im y.im) around 0
0.255 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
0.255 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in y.im
0.255 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
0.255 * [taylor]: Taking taylor expansion of (* y.re x.re) 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.re in y.im
0.255 * [backup-simplify]: Simplify x.re into x.re
0.255 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
0.255 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
0.255 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
0.255 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
0.255 * [taylor]: Taking taylor expansion of y.im in y.im
0.255 * [backup-simplify]: Simplify 0 into 0
0.255 * [backup-simplify]: Simplify 1 into 1
0.255 * [taylor]: Taking taylor expansion of x.im in y.im
0.255 * [backup-simplify]: Simplify x.im into x.im
0.255 * [backup-simplify]: Simplify (* 0 x.im) into 0
0.256 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
0.256 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
0.256 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
0.256 * [taylor]: Taking taylor expansion of (pow y.re 2) 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 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.256 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
0.256 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
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
0.257 * [backup-simplify]: Simplify (* 1 1) into 1
0.257 * [backup-simplify]: Simplify (/ 1 1) into 1
0.257 * [backup-simplify]: Simplify (+ 0 (/ 1 x.im)) into (/ 1 x.im)
0.258 * [backup-simplify]: Simplify (+ 0 1) into 1
0.258 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
0.258 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.im
0.258 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
0.258 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
0.258 * [taylor]: Taking taylor expansion of y.re in x.im
0.258 * [backup-simplify]: Simplify y.re into y.re
0.258 * [taylor]: Taking taylor expansion of x.re in x.im
0.258 * [backup-simplify]: Simplify x.re into x.re
0.258 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
0.258 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
0.258 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
0.258 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
0.258 * [taylor]: Taking taylor expansion of y.im in x.im
0.258 * [backup-simplify]: Simplify y.im into y.im
0.258 * [taylor]: Taking taylor expansion of x.im in x.im
0.258 * [backup-simplify]: Simplify 0 into 0
0.258 * [backup-simplify]: Simplify 1 into 1
0.259 * [backup-simplify]: Simplify (* y.im 0) into 0
0.259 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.259 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.259 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
0.259 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
0.259 * [taylor]: Taking taylor expansion of y.re in x.im
0.259 * [backup-simplify]: Simplify y.re into y.re
0.259 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.259 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
0.259 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
0.260 * [taylor]: Taking taylor expansion of y.im in x.im
0.260 * [backup-simplify]: Simplify y.im into y.im
0.260 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.260 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.260 * [backup-simplify]: Simplify (+ 0 (/ 1 y.im)) into (/ 1 y.im)
0.260 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
0.260 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
0.261 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in y.re
0.261 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
0.261 * [taylor]: Taking taylor expansion of (* y.re x.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 x.re in y.re
0.261 * [backup-simplify]: Simplify x.re into x.re
0.261 * [backup-simplify]: Simplify (* 0 x.re) into 0
0.261 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
0.262 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
0.262 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
0.262 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
0.262 * [taylor]: Taking taylor expansion of y.im in y.re
0.262 * [backup-simplify]: Simplify y.im into y.im
0.262 * [taylor]: Taking taylor expansion of x.im in y.re
0.262 * [backup-simplify]: Simplify x.im into x.im
0.262 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.262 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
0.262 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.262 * [taylor]: Taking taylor expansion of y.re in y.re
0.262 * [backup-simplify]: Simplify 0 into 0
0.262 * [backup-simplify]: Simplify 1 into 1
0.262 * [backup-simplify]: Simplify (* 1 1) into 1
0.263 * [backup-simplify]: Simplify (/ 1 1) into 1
0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.263 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.263 * [taylor]: Taking taylor expansion of y.im in y.re
0.263 * [backup-simplify]: Simplify y.im into y.im
0.263 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.263 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.263 * [backup-simplify]: Simplify (+ (/ 1 x.re) 0) into (/ 1 x.re)
0.264 * [backup-simplify]: Simplify (+ 1 0) into 1
0.264 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re)
0.264 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.re
0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.re
0.264 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
0.264 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
0.264 * [taylor]: Taking taylor expansion of y.re in x.re
0.264 * [backup-simplify]: Simplify y.re into y.re
0.264 * [taylor]: Taking taylor expansion of x.re in x.re
0.264 * [backup-simplify]: Simplify 0 into 0
0.264 * [backup-simplify]: Simplify 1 into 1
0.264 * [backup-simplify]: Simplify (* y.re 0) into 0
0.265 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.265 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.265 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
0.265 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
0.265 * [taylor]: Taking taylor expansion of y.im in x.re
0.265 * [backup-simplify]: Simplify y.im into y.im
0.265 * [taylor]: Taking taylor expansion of x.im in x.re
0.265 * [backup-simplify]: Simplify x.im into x.im
0.265 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.265 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.re
0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
0.265 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
0.265 * [taylor]: Taking taylor expansion of y.re in x.re
0.265 * [backup-simplify]: Simplify y.re into y.re
0.265 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.266 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
0.266 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
0.266 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
0.266 * [taylor]: Taking taylor expansion of y.im in x.re
0.266 * [backup-simplify]: Simplify y.im into y.im
0.266 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.266 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.266 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
0.266 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
0.267 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
0.267 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.re
0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.re
0.267 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
0.267 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
0.267 * [taylor]: Taking taylor expansion of y.re in x.re
0.267 * [backup-simplify]: Simplify y.re into y.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
0.267 * [backup-simplify]: Simplify (* y.re 0) into 0
0.268 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.268 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.268 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
0.268 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
0.268 * [taylor]: Taking taylor expansion of y.im in x.re
0.268 * [backup-simplify]: Simplify y.im into y.im
0.268 * [taylor]: Taking taylor expansion of x.im in x.re
0.268 * [backup-simplify]: Simplify x.im into x.im
0.268 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.268 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.re
0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
0.268 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
0.268 * [taylor]: Taking taylor expansion of y.re in x.re
0.268 * [backup-simplify]: Simplify y.re into y.re
0.268 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
0.268 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
0.268 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
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 (* y.im y.im) into (pow y.im 2)
0.269 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.269 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
0.269 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
0.269 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
0.269 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
0.269 * [taylor]: Taking taylor expansion of (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
0.270 * [taylor]: Taking taylor expansion of y.re in y.re
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
0.270 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.270 * [taylor]: Taking taylor expansion of y.re in y.re
0.270 * [backup-simplify]: Simplify 0 into 0
0.270 * [backup-simplify]: Simplify 1 into 1
0.270 * [backup-simplify]: Simplify (* 1 1) into 1
0.271 * [backup-simplify]: Simplify (/ 1 1) into 1
0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
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 (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.271 * [backup-simplify]: Simplify (+ 1 0) into 1
0.272 * [backup-simplify]: Simplify (* 0 1) into 0
0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.274 * [backup-simplify]: Simplify (+ 0 0) into 0
0.274 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1)) into 1
0.275 * [backup-simplify]: Simplify (/ 1 1) into 1
0.275 * [taylor]: Taking taylor expansion of 1 in x.im
0.275 * [backup-simplify]: Simplify 1 into 1
0.276 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
0.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
0.276 * [backup-simplify]: Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
0.276 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
0.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
0.276 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.277 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
0.277 * [backup-simplify]: Simplify (+ 0 0) into 0
0.278 * [backup-simplify]: Simplify (- (/ (/ 1 (* y.im x.im)) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
0.278 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
0.278 * [taylor]: Taking taylor expansion of (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
0.278 * [taylor]: Taking taylor expansion of y.im in y.re
0.278 * [backup-simplify]: Simplify y.im into y.im
0.278 * [taylor]: Taking taylor expansion of (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
0.278 * [taylor]: Taking taylor expansion of x.im in y.re
0.278 * [backup-simplify]: Simplify x.im into x.im
0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
0.278 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
0.278 * [taylor]: Taking taylor expansion of y.re in y.re
0.278 * [backup-simplify]: Simplify 0 into 0
0.279 * [backup-simplify]: Simplify 1 into 1
0.279 * [backup-simplify]: Simplify (* 1 1) into 1
0.279 * [backup-simplify]: Simplify (/ 1 1) into 1
0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
0.279 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
0.279 * [taylor]: Taking taylor expansion of y.im in y.re
0.279 * [backup-simplify]: Simplify y.im into y.im
0.280 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
0.280 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
0.280 * [backup-simplify]: Simplify (+ 1 0) into 1
0.280 * [backup-simplify]: Simplify (* x.im 1) into x.im
0.281 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.281 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.282 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
0.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.283 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
0.284 * [backup-simplify]: Simplify (+ (* 0 (/ 1 (pow y.im 2))) (+ (* 1 0) (* 0 1))) into 0
0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.284 * [taylor]: Taking taylor expansion of 0 in x.im
0.284 * [backup-simplify]: Simplify 0 into 0
0.284 * [taylor]: Taking taylor expansion of 1 in y.im
0.284 * [backup-simplify]: Simplify 1 into 1
0.285 * [backup-simplify]: Simplify 0 into 0
0.285 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.286 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
0.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
0.286 * [backup-simplify]: Simplify (+ 0 0) into 0
0.287 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
0.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
0.288 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.288 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
0.288 * [backup-simplify]: Simplify (+ 0 0) into 0
0.290 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
0.290 * [taylor]: Taking taylor expansion of 0 in y.re
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [taylor]: Taking taylor expansion of 0 in x.im
0.290 * [backup-simplify]: Simplify 0 into 0
0.290 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
0.290 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
0.290 * [taylor]: Taking taylor expansion of y.im in x.im
0.291 * [backup-simplify]: Simplify y.im into y.im
0.291 * [taylor]: Taking taylor expansion of x.im in x.im
0.291 * [backup-simplify]: Simplify 0 into 0
0.291 * [backup-simplify]: Simplify 1 into 1
0.291 * [backup-simplify]: Simplify (* y.im 0) into 0
0.291 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.291 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.291 * [taylor]: Taking taylor expansion of (/ 1 y.im) 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 (/ 0 1)))) into 0
0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.293 * [backup-simplify]: Simplify 0 into 0
0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
0.295 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.296 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
0.296 * [backup-simplify]: Simplify (+ 0 0) into 0
0.297 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y.im 2))
0.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
0.298 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.im
0.298 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
0.298 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
0.298 * [taylor]: Taking taylor expansion of y.im in x.im
0.298 * [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 * [taylor]: Taking taylor expansion of 0 in y.im
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [taylor]: Taking taylor expansion of 0 in y.im
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 0 into 0
0.299 * [backup-simplify]: Simplify 0 into 0
0.300 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.300 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.301 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
0.301 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
0.301 * [backup-simplify]: Simplify (+ 0 0) into 0
0.302 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0
0.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
0.304 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
0.304 * [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
0.305 * [backup-simplify]: Simplify (+ 0 0) into 0
0.307 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
0.307 * [taylor]: Taking taylor expansion of 0 in y.re
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [taylor]: Taking taylor expansion of 0 in x.im
0.307 * [backup-simplify]: Simplify 0 into 0
0.307 * [taylor]: Taking taylor expansion of 0 in x.im
0.307 * [backup-simplify]: Simplify 0 into 0
0.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
0.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.312 * [backup-simplify]: Simplify (+ 0 0) into 0
0.313 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0
0.313 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
0.313 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
0.313 * [taylor]: Taking taylor expansion of 0 in x.im
0.313 * [backup-simplify]: Simplify 0 into 0
0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.316 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
0.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
0.317 * [backup-simplify]: Simplify (+ 0 0) into 0
0.318 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (pow y.im 2))) (+ (* 0 0) (* 0 1))))) into 0
0.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
0.320 * [taylor]: Taking taylor expansion of 0 in x.im
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [taylor]: Taking taylor expansion of 0 in y.im
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * [backup-simplify]: Simplify 0 into 0
0.320 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
0.320 * [backup-simplify]: Simplify (+ (* x.re y.re) (* x.im y.im)) into (+ (* y.im x.im) (* y.re x.re))
0.320 * [approximate]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in (x.re y.re x.im y.im) around 0
0.320 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.im
0.321 * [taylor]: Taking taylor expansion of (* y.im x.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
0.321 * [taylor]: Taking taylor expansion of x.im in y.im
0.321 * [backup-simplify]: Simplify x.im into x.im
0.321 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
0.321 * [taylor]: Taking taylor expansion of y.re in y.im
0.321 * [backup-simplify]: Simplify y.re into y.re
0.321 * [taylor]: Taking taylor expansion of x.re in y.im
0.321 * [backup-simplify]: Simplify x.re into x.re
0.321 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.im
0.321 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
0.321 * [taylor]: Taking taylor expansion of y.im in x.im
0.321 * [backup-simplify]: Simplify y.im into y.im
0.321 * [taylor]: Taking taylor expansion of x.im in x.im
0.321 * [backup-simplify]: Simplify 0 into 0
0.321 * [backup-simplify]: Simplify 1 into 1
0.321 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
0.321 * [taylor]: Taking taylor expansion of y.re in x.im
0.321 * [backup-simplify]: Simplify y.re into y.re
0.321 * [taylor]: Taking taylor expansion of x.re in x.im
0.321 * [backup-simplify]: Simplify x.re into x.re
0.321 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.re
0.321 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
0.321 * [taylor]: Taking taylor expansion of y.im in y.re
0.322 * [backup-simplify]: Simplify y.im into y.im
0.322 * [taylor]: Taking taylor expansion of x.im in y.re
0.322 * [backup-simplify]: Simplify x.im into x.im
0.322 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
0.322 * [taylor]: Taking taylor expansion of y.re in y.re
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [taylor]: Taking taylor expansion of x.re in y.re
0.322 * [backup-simplify]: Simplify x.re into x.re
0.322 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.re
0.322 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
0.322 * [taylor]: Taking taylor expansion of y.im in x.re
0.322 * [backup-simplify]: Simplify y.im into y.im
0.322 * [taylor]: Taking taylor expansion of x.im in x.re
0.322 * [backup-simplify]: Simplify x.im into x.im
0.322 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
0.322 * [taylor]: Taking taylor expansion of y.re in x.re
0.322 * [backup-simplify]: Simplify y.re into y.re
0.322 * [taylor]: Taking taylor expansion of x.re in x.re
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.re
0.322 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
0.322 * [taylor]: Taking taylor expansion of y.im in x.re
0.322 * [backup-simplify]: Simplify y.im into y.im
0.322 * [taylor]: Taking taylor expansion of x.im in x.re
0.322 * [backup-simplify]: Simplify x.im into x.im
0.322 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
0.322 * [taylor]: Taking taylor expansion of y.re in x.re
0.322 * [backup-simplify]: Simplify y.re into y.re
0.322 * [taylor]: Taking taylor expansion of x.re in x.re
0.322 * [backup-simplify]: Simplify 0 into 0
0.322 * [backup-simplify]: Simplify 1 into 1
0.322 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.323 * [backup-simplify]: Simplify (* y.re 0) into 0
0.323 * [backup-simplify]: Simplify (+ (* y.im x.im) 0) into (* y.im x.im)
0.323 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
0.323 * [taylor]: Taking taylor expansion of y.im in y.re
0.323 * [backup-simplify]: Simplify y.im into y.im
0.323 * [taylor]: Taking taylor expansion of x.im in y.re
0.323 * [backup-simplify]: Simplify x.im into x.im
0.323 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.323 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
0.323 * [taylor]: Taking taylor expansion of y.im in x.im
0.323 * [backup-simplify]: Simplify y.im into y.im
0.323 * [taylor]: Taking taylor expansion of x.im in x.im
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 1 into 1
0.323 * [backup-simplify]: Simplify (* y.im 0) into 0
0.323 * [taylor]: Taking taylor expansion of 0 in y.im
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify 0 into 0
0.323 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
0.324 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.324 * [backup-simplify]: Simplify (+ 0 y.re) into y.re
0.324 * [taylor]: Taking taylor expansion of y.re in y.re
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 1 into 1
0.324 * [taylor]: Taking taylor expansion of 0 in x.im
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [taylor]: Taking taylor expansion of 0 in y.im
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 x.im)) into 0
0.324 * [taylor]: Taking taylor expansion of 0 in x.im
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [taylor]: Taking taylor expansion of 0 in y.im
0.324 * [backup-simplify]: Simplify 0 into 0
0.324 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.325 * [taylor]: Taking taylor expansion of y.im in y.im
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 1 into 1
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify 0 into 0
0.325 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
0.326 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
0.327 * [backup-simplify]: Simplify (+ 0 0) into 0
0.327 * [taylor]: Taking taylor expansion of 0 in y.re
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [taylor]: Taking taylor expansion of 0 in x.im
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [taylor]: Taking taylor expansion of 0 in y.im
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify 0 into 0
0.327 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) into (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im)))
0.327 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in (x.re y.re x.im y.im) around 0
0.327 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in y.im
0.327 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
0.327 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
0.327 * [taylor]: Taking taylor expansion of y.re in y.im
0.327 * [backup-simplify]: Simplify y.re into y.re
0.327 * [taylor]: Taking taylor expansion of x.re in y.im
0.327 * [backup-simplify]: Simplify x.re into x.re
0.327 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
0.327 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
0.328 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
0.328 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
0.328 * [taylor]: Taking taylor expansion of y.im in y.im
0.328 * [backup-simplify]: Simplify 0 into 0
0.328 * [backup-simplify]: Simplify 1 into 1
0.328 * [taylor]: Taking taylor expansion of x.im in y.im
0.328 * [backup-simplify]: Simplify x.im into x.im
0.328 * [backup-simplify]: Simplify (* 0 x.im) into 0
0.328 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
0.328 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
0.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.im
0.328 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
0.328 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
0.328 * [taylor]: Taking taylor expansion of y.re in x.im
0.328 * [backup-simplify]: Simplify y.re into y.re
0.328 * [taylor]: Taking taylor expansion of x.re in x.im
0.328 * [backup-simplify]: Simplify x.re into x.re
0.328 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
0.329 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
0.329 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
0.329 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
0.329 * [taylor]: Taking taylor expansion of y.im in x.im
0.329 * [backup-simplify]: Simplify y.im into y.im
0.329 * [taylor]: Taking taylor expansion of x.im in x.im
0.329 * [backup-simplify]: Simplify 0 into 0
0.329 * [backup-simplify]: Simplify 1 into 1
0.329 * [backup-simplify]: Simplify (* y.im 0) into 0
0.329 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.329 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in y.re
0.329 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
0.329 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
0.329 * [taylor]: Taking taylor expansion of y.re in y.re
0.329 * [backup-simplify]: Simplify 0 into 0
0.330 * [backup-simplify]: Simplify 1 into 1
0.330 * [taylor]: Taking taylor expansion of x.re in y.re
0.330 * [backup-simplify]: Simplify x.re into x.re
0.330 * [backup-simplify]: Simplify (* 0 x.re) into 0
0.330 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
0.330 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
0.330 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
0.330 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
0.330 * [taylor]: Taking taylor expansion of y.im in y.re
0.330 * [backup-simplify]: Simplify y.im into y.im
0.330 * [taylor]: Taking taylor expansion of x.im in y.re
0.330 * [backup-simplify]: Simplify x.im into x.im
0.331 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.331 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.re
0.331 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
0.331 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
0.331 * [taylor]: Taking taylor expansion of y.re in x.re
0.331 * [backup-simplify]: Simplify y.re into y.re
0.331 * [taylor]: Taking taylor expansion of x.re in x.re
0.331 * [backup-simplify]: Simplify 0 into 0
0.331 * [backup-simplify]: Simplify 1 into 1
0.331 * [backup-simplify]: Simplify (* y.re 0) into 0
0.331 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.332 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.332 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
0.332 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
0.332 * [taylor]: Taking taylor expansion of y.im in x.re
0.332 * [backup-simplify]: Simplify y.im into y.im
0.332 * [taylor]: Taking taylor expansion of x.im in x.re
0.332 * [backup-simplify]: Simplify x.im into x.im
0.332 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.332 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.re
0.332 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
0.332 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
0.332 * [taylor]: Taking taylor expansion of y.re in x.re
0.332 * [backup-simplify]: Simplify y.re into y.re
0.332 * [taylor]: Taking taylor expansion of x.re in x.re
0.332 * [backup-simplify]: Simplify 0 into 0
0.332 * [backup-simplify]: Simplify 1 into 1
0.332 * [backup-simplify]: Simplify (* y.re 0) into 0
0.333 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.333 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.333 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
0.333 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
0.333 * [taylor]: Taking taylor expansion of y.im in x.re
0.333 * [backup-simplify]: Simplify y.im into y.im
0.333 * [taylor]: Taking taylor expansion of x.im in x.re
0.333 * [backup-simplify]: Simplify x.im into x.im
0.333 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.333 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.333 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
0.333 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
0.333 * [taylor]: Taking taylor expansion of y.re in y.re
0.333 * [backup-simplify]: Simplify 0 into 0
0.333 * [backup-simplify]: Simplify 1 into 1
0.334 * [backup-simplify]: Simplify (/ 1 1) into 1
0.334 * [taylor]: Taking taylor expansion of 1 in x.im
0.334 * [backup-simplify]: Simplify 1 into 1
0.335 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
0.335 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
0.335 * [backup-simplify]: Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
0.335 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
0.335 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
0.335 * [taylor]: Taking taylor expansion of y.im in y.re
0.335 * [backup-simplify]: Simplify y.im into y.im
0.335 * [taylor]: Taking taylor expansion of x.im in y.re
0.335 * [backup-simplify]: Simplify x.im into x.im
0.335 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.335 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.336 * [taylor]: Taking taylor expansion of 0 in x.im
0.336 * [backup-simplify]: Simplify 0 into 0
0.336 * [taylor]: Taking taylor expansion of 1 in y.im
0.336 * [backup-simplify]: Simplify 1 into 1
0.337 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.337 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
0.338 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
0.338 * [backup-simplify]: Simplify (+ 0 0) into 0
0.338 * [taylor]: Taking taylor expansion of 0 in y.re
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
0.338 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
0.338 * [taylor]: Taking taylor expansion of y.im in x.im
0.338 * [backup-simplify]: Simplify y.im into y.im
0.338 * [taylor]: Taking taylor expansion of x.im in x.im
0.338 * [backup-simplify]: Simplify 0 into 0
0.338 * [backup-simplify]: Simplify 1 into 1
0.338 * [backup-simplify]: Simplify (* y.im 0) into 0
0.339 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.339 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.339 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
0.339 * [taylor]: Taking taylor expansion of y.im in y.im
0.339 * [backup-simplify]: Simplify 0 into 0
0.339 * [backup-simplify]: Simplify 1 into 1
0.339 * [backup-simplify]: Simplify (/ 1 1) into 1
0.339 * [backup-simplify]: Simplify 1 into 1
0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.340 * [taylor]: Taking taylor expansion of 0 in x.im
0.340 * [backup-simplify]: Simplify 0 into 0
0.340 * [taylor]: Taking taylor expansion of 0 in y.im
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [taylor]: Taking taylor expansion of 0 in y.im
0.341 * [backup-simplify]: Simplify 0 into 0
0.341 * [backup-simplify]: Simplify 1 into 1
0.342 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.342 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
0.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
0.343 * [backup-simplify]: Simplify (+ 0 0) into 0
0.343 * [taylor]: Taking taylor expansion of 0 in y.re
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [taylor]: Taking taylor expansion of 0 in x.im
0.343 * [backup-simplify]: Simplify 0 into 0
0.343 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
0.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
0.344 * [taylor]: Taking taylor expansion of 0 in x.im
0.344 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.345 * [taylor]: Taking taylor expansion of 0 in x.im
0.345 * [backup-simplify]: Simplify 0 into 0
0.345 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
0.346 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
0.346 * [taylor]: Taking taylor expansion of 0 in y.im
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [taylor]: Taking taylor expansion of 0 in y.im
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [taylor]: Taking taylor expansion of 0 in y.im
0.346 * [backup-simplify]: Simplify 0 into 0
0.346 * [taylor]: Taking taylor expansion of 0 in y.im
0.346 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.347 * [backup-simplify]: Simplify 0 into 0
0.348 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
0.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.349 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
0.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
0.350 * [backup-simplify]: Simplify (+ 0 0) into 0
0.350 * [taylor]: Taking taylor expansion of 0 in y.re
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [taylor]: Taking taylor expansion of 0 in x.im
0.350 * [backup-simplify]: Simplify 0 into 0
0.350 * [taylor]: Taking taylor expansion of 0 in x.im
0.350 * [backup-simplify]: Simplify 0 into 0
0.351 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
0.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
0.351 * [taylor]: Taking taylor expansion of 0 in x.im
0.351 * [backup-simplify]: Simplify 0 into 0
0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.352 * [taylor]: Taking taylor expansion of 0 in x.im
0.352 * [backup-simplify]: Simplify 0 into 0
0.352 * [taylor]: Taking taylor expansion of 0 in y.im
0.352 * [backup-simplify]: Simplify 0 into 0
0.353 * [taylor]: Taking taylor expansion of 0 in y.im
0.353 * [backup-simplify]: Simplify 0 into 0
0.353 * [taylor]: Taking taylor expansion of 0 in y.im
0.353 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
0.354 * [taylor]: Taking taylor expansion of 0 in y.im
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [taylor]: Taking taylor expansion of 0 in y.im
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [taylor]: Taking taylor expansion of 0 in y.im
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [taylor]: Taking taylor expansion of 0 in y.im
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.354 * [backup-simplify]: Simplify 0 into 0
0.355 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 y.re)) (/ 1 (/ 1 x.re)))))) (* 1 (* (/ 1 (/ 1 y.im)) (* (/ 1 (/ 1 x.im)) (* 1 1))))) into (+ (* y.im x.im) (* y.re x.re))
0.355 * [backup-simplify]: Simplify (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) into (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im)))
0.355 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in (x.re y.re x.im y.im) around 0
0.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in y.im
0.356 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
0.356 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
0.356 * [taylor]: Taking taylor expansion of y.re in y.im
0.356 * [backup-simplify]: Simplify y.re into y.re
0.356 * [taylor]: Taking taylor expansion of x.re in y.im
0.356 * [backup-simplify]: Simplify x.re into x.re
0.356 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
0.356 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
0.356 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
0.356 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
0.356 * [taylor]: Taking taylor expansion of y.im in y.im
0.356 * [backup-simplify]: Simplify 0 into 0
0.356 * [backup-simplify]: Simplify 1 into 1
0.356 * [taylor]: Taking taylor expansion of x.im in y.im
0.356 * [backup-simplify]: Simplify x.im into x.im
0.356 * [backup-simplify]: Simplify (* 0 x.im) into 0
0.357 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
0.357 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
0.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.im
0.357 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
0.357 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
0.357 * [taylor]: Taking taylor expansion of y.re in x.im
0.357 * [backup-simplify]: Simplify y.re into y.re
0.357 * [taylor]: Taking taylor expansion of x.re in x.im
0.357 * [backup-simplify]: Simplify x.re into x.re
0.357 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
0.357 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
0.357 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
0.357 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
0.357 * [taylor]: Taking taylor expansion of y.im in x.im
0.357 * [backup-simplify]: Simplify y.im into y.im
0.357 * [taylor]: Taking taylor expansion of x.im in x.im
0.357 * [backup-simplify]: Simplify 0 into 0
0.357 * [backup-simplify]: Simplify 1 into 1
0.357 * [backup-simplify]: Simplify (* y.im 0) into 0
0.358 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.358 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.358 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in y.re
0.358 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
0.358 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
0.358 * [taylor]: Taking taylor expansion of y.re in y.re
0.358 * [backup-simplify]: Simplify 0 into 0
0.358 * [backup-simplify]: Simplify 1 into 1
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 (* 0 x.re) into 0
0.359 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
0.359 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
0.359 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
0.359 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
0.359 * [taylor]: Taking taylor expansion of y.im in y.re
0.359 * [backup-simplify]: Simplify y.im into y.im
0.359 * [taylor]: Taking taylor expansion of x.im in y.re
0.359 * [backup-simplify]: Simplify x.im into x.im
0.359 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.359 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.359 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.re
0.359 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
0.359 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
0.359 * [taylor]: Taking taylor expansion of y.re in x.re
0.360 * [backup-simplify]: Simplify y.re into y.re
0.360 * [taylor]: Taking taylor expansion of x.re in x.re
0.360 * [backup-simplify]: Simplify 0 into 0
0.360 * [backup-simplify]: Simplify 1 into 1
0.360 * [backup-simplify]: Simplify (* y.re 0) into 0
0.360 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
0.360 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
0.360 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
0.360 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
0.360 * [taylor]: Taking taylor expansion of y.im in x.re
0.360 * [backup-simplify]: Simplify y.im into y.im
0.360 * [taylor]: Taking taylor expansion of x.im in x.re
0.360 * [backup-simplify]: Simplify x.im into x.im
0.361 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.361 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.re x.re)) (/ 1 (* y.im x.im))) in x.re
0.361 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
0.361 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
0.361 * [taylor]: Taking taylor expansion of y.re in x.re
0.361 * [backup-simplify]: Simplify y.re into y.re
0.361 * [taylor]: Taking taylor expansion of x.re in x.re
0.361 * [backup-simplify]: Simplify 0 into 0
0.361 * [backup-simplify]: Simplify 1 into 1
0.361 * [backup-simplify]: Simplify (* y.re 0) into 0
0.361 * [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.im)) in x.re
0.362 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
0.362 * [taylor]: Taking taylor expansion of y.im in x.re
0.362 * [backup-simplify]: Simplify y.im into y.im
0.362 * [taylor]: Taking taylor expansion of x.im in x.re
0.362 * [backup-simplify]: Simplify x.im into x.im
0.362 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.362 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.362 * [backup-simplify]: Simplify (+ (/ 1 y.re) 0) into (/ 1 y.re)
0.362 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
0.362 * [taylor]: Taking taylor expansion of y.re in y.re
0.362 * [backup-simplify]: Simplify 0 into 0
0.362 * [backup-simplify]: Simplify 1 into 1
0.363 * [backup-simplify]: Simplify (/ 1 1) into 1
0.363 * [taylor]: Taking taylor expansion of 1 in x.im
0.363 * [backup-simplify]: Simplify 1 into 1
0.364 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
0.364 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
0.364 * [backup-simplify]: Simplify (+ 0 (/ 1 (* y.im x.im))) into (/ 1 (* y.im x.im))
0.364 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
0.364 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
0.364 * [taylor]: Taking taylor expansion of y.im in y.re
0.364 * [backup-simplify]: Simplify y.im into y.im
0.364 * [taylor]: Taking taylor expansion of x.im in y.re
0.364 * [backup-simplify]: Simplify x.im into x.im
0.364 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
0.364 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
0.365 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.365 * [taylor]: Taking taylor expansion of 0 in x.im
0.365 * [backup-simplify]: Simplify 0 into 0
0.365 * [taylor]: Taking taylor expansion of 1 in y.im
0.365 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.366 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
0.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
0.366 * [backup-simplify]: Simplify (+ 0 0) into 0
0.366 * [taylor]: Taking taylor expansion of 0 in y.re
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
0.366 * [taylor]: Taking taylor expansion of (* y.im x.im) 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.im in x.im
0.366 * [backup-simplify]: Simplify 0 into 0
0.366 * [backup-simplify]: Simplify 1 into 1
0.366 * [backup-simplify]: Simplify (* y.im 0) into 0
0.367 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
0.367 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
0.367 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
0.367 * [taylor]: Taking taylor expansion of y.im in y.im
0.367 * [backup-simplify]: Simplify 0 into 0
0.367 * [backup-simplify]: Simplify 1 into 1
0.367 * [backup-simplify]: Simplify (/ 1 1) into 1
0.367 * [backup-simplify]: Simplify 1 into 1
0.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.368 * [taylor]: Taking taylor expansion of 0 in x.im
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [taylor]: Taking taylor expansion of 0 in y.im
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [taylor]: Taking taylor expansion of 0 in y.im
0.368 * [backup-simplify]: Simplify 0 into 0
0.368 * [backup-simplify]: Simplify 1 into 1
0.368 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
0.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.369 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
0.369 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
0.369 * [backup-simplify]: Simplify (+ 0 0) into 0
0.369 * [taylor]: Taking taylor expansion of 0 in y.re
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [taylor]: Taking taylor expansion of 0 in x.im
0.369 * [backup-simplify]: Simplify 0 into 0
0.369 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
0.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
0.370 * [taylor]: Taking taylor expansion of 0 in x.im
0.370 * [backup-simplify]: Simplify 0 into 0
0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.370 * [taylor]: Taking taylor expansion of 0 in x.im
0.370 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
0.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
0.371 * [taylor]: Taking taylor expansion of 0 in y.im
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [taylor]: Taking taylor expansion of 0 in y.im
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [taylor]: Taking taylor expansion of 0 in y.im
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [taylor]: Taking taylor expansion of 0 in y.im
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.371 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify 0 into 0
0.372 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
0.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
0.373 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
0.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
0.373 * [backup-simplify]: Simplify (+ 0 0) into 0
0.373 * [taylor]: Taking taylor expansion of 0 in y.re
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [taylor]: Taking taylor expansion of 0 in x.im
0.373 * [backup-simplify]: Simplify 0 into 0
0.373 * [taylor]: Taking taylor expansion of 0 in x.im
0.373 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
0.374 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
0.374 * [taylor]: Taking taylor expansion of 0 in x.im
0.374 * [backup-simplify]: Simplify 0 into 0
0.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
0.375 * [taylor]: Taking taylor expansion of 0 in x.im
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [taylor]: Taking taylor expansion of 0 in y.im
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [taylor]: Taking taylor expansion of 0 in y.im
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [taylor]: Taking taylor expansion of 0 in y.im
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
0.375 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
0.375 * [taylor]: Taking taylor expansion of 0 in y.im
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [taylor]: Taking taylor expansion of 0 in y.im
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [taylor]: Taking taylor expansion of 0 in y.im
0.375 * [backup-simplify]: Simplify 0 into 0
0.375 * [taylor]: Taking taylor expansion of 0 in y.im
0.375 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify 0 into 0
0.376 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- y.re))) (/ 1 (/ 1 (- x.re))))))) (* 1 (* (/ 1 (/ 1 (- y.im))) (* (/ 1 (/ 1 (- x.im))) (* 1 1))))) into (+ (* y.im x.im) (* y.re x.re))
0.376 * * * [progress]: simplifying candidates
0.377 * [simplify]: Simplifying:
  (- (log (+ (* x.re y.re) (* x.im y.im))) (log (+ (* y.re y.re) (* y.im y.im))))
  (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))
  (exp (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))
  (/ (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (* (* (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re y.re) (* y.im y.im))))
  (* (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))))
  (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))
  (* (* (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))
  (- (+ (* x.re y.re) (* x.im y.im)))
  (- (+ (* y.re y.re) (* y.im y.im)))
  (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) 1)
  (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im)))
  (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) 1)
  (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im)))
  (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 1)
  (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
  (/ 1 (+ (* y.re y.re) (* y.im y.im)))
  (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.re y.re) (* x.im y.im)))
  (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* x.re y.re) (* x.im y.im)) 1)
  (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.re y.re) (* x.im y.im)))
  (/ (+ (* x.re y.re) (* x.im y.im)) (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))
  (/ (+ (* x.re y.re) (* x.im y.im)) (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))
  (* (+ (* y.re y.re) (* y.im y.im)) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))))
  (* (+ (* y.re y.re) (* y.im y.im)) (- (* x.re y.re) (* x.im y.im)))
  (* (exp (* x.re y.re)) (exp (* x.im y.im)))
  (log (+ (* x.re y.re) (* x.im y.im)))
  (exp (+ (* x.re y.re) (* x.im y.im)))
  (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im))))
  (cbrt (+ (* x.re y.re) (* x.im y.im)))
  (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im)))
  (sqrt (+ (* x.re y.re) (* x.im y.im)))
  (sqrt (+ (* x.re y.re) (* x.im y.im)))
  (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
  (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im))))
  (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im)))
  (- (* x.re y.re) (* x.im y.im))
  0
  0
  0
  0
  (+ (* y.im x.im) (* y.re x.re))
  (+ (* y.im x.im) (* y.re x.re))
0.378 * * [simplify]: iteration 0: 86 enodes
0.394 * * [simplify]: iteration 1: 237 enodes
0.469 * * [simplify]: iteration 2: 906 enodes
1.141 * * [simplify]: iteration 3: 4323 enodes
2.188 * * [simplify]: iteration complete: 5001 enodes
2.188 * * [simplify]: Extracting #0: cost 44 inf + 0
2.190 * * [simplify]: Extracting #1: cost 560 inf + 2
2.204 * * [simplify]: Extracting #2: cost 1280 inf + 3
2.214 * * [simplify]: Extracting #3: cost 1477 inf + 224
2.219 * * [simplify]: Extracting #4: cost 1241 inf + 2615
2.225 * * [simplify]: Extracting #5: cost 358 inf + 18338
2.230 * * [simplify]: Extracting #6: cost 15 inf + 26866
2.235 * * [simplify]: Extracting #7: cost 0 inf + 27204
2.241 * [simplify]: Simplified to:
  (log (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (log (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (exp (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (pow (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))) 3)
  (* (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))))
  (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (pow (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))) 3)
  (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (- (* (- y.im) x.im) (* x.re y.re))
  (- (- (* y.im y.im)) (* y.re y.re))
  (* (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re))))
  (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))
  (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (+ (* x.im y.im) (* x.re y.re)))
  (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))
  (/ (/ 1 (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* x.im y.im) (* x.re y.re)) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  1
  (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))
  (/ 1 (+ (* y.re y.re) (* y.im y.im)))
  (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.im y.im) (* x.re y.re)))
  (/ (/ (+ (* x.im y.im) (* x.re y.re)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (+ (* x.im y.im) (* x.re y.re))
  (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.im y.im) (* x.re y.re))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (sqrt (+ (* x.im y.im) (* x.re y.re))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.im y.im) (* x.re y.re)))
  (/ (+ (* x.im y.im) (* x.re y.re)) (+ (pow y.im 6) (pow y.re 6)))
  (/ (+ (* x.im y.im) (* x.re y.re)) (- (pow y.re 4) (pow y.im 4)))
  (* (- (* (* x.im x.im) (* y.im y.im)) (* (* x.re y.re) (- (* x.im y.im) (* x.re y.re)))) (+ (* y.re y.re) (* y.im y.im)))
  (* (- (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
  (exp (+ (* x.im y.im) (* x.re y.re)))
  (log (+ (* x.im y.im) (* x.re y.re)))
  (exp (+ (* x.im y.im) (* x.re y.re)))
  (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re))))
  (cbrt (+ (* x.im y.im) (* x.re y.re)))
  (pow (+ (* x.im y.im) (* x.re y.re)) 3)
  (sqrt (+ (* x.im y.im) (* x.re y.re)))
  (sqrt (+ (* x.im y.im) (* x.re y.re)))
  (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))
  (- (* (* x.im x.im) (* y.im y.im)) (* (* x.re y.re) (- (* x.im y.im) (* x.re y.re))))
  (- (* (* x.re (* y.re y.re)) x.re) (* (* x.im x.im) (* y.im y.im)))
  (- (* x.re y.re) (* x.im y.im))
  0
  0
  0
  0
  (+ (* x.im y.im) (* x.re y.re))
  (+ (* x.im y.im) (* x.re y.re))
2.241 * * * [progress]: adding candidates to table
2.509 * * [progress]: iteration 2 / 4
2.509 * * * [progress]: picking best candidate
2.593 * * * * [pick]: Picked  #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
2.593 * * * [progress]: localizing error
2.630 * * * [progress]: generating rewritten candidates
2.631 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
2.642 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2)
2.654 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1)
2.700 * * * * [progress]: [ 4 / 4 ] rewriting at (2)
2.780 * * * [progress]: generating series expansions
2.780 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
2.780 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
2.780 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in (y.re y.im) around 0
2.780 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.im
2.780 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
2.780 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
2.780 * [taylor]: Taking taylor expansion of y.re in y.im
2.780 * [backup-simplify]: Simplify y.re into y.re
2.780 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.780 * [taylor]: Taking taylor expansion of y.im in y.im
2.780 * [backup-simplify]: Simplify 0 into 0
2.780 * [backup-simplify]: Simplify 1 into 1
2.780 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.780 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
2.781 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
2.781 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
2.781 * [backup-simplify]: Simplify (+ 0 0) into 0
2.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
2.781 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.re
2.781 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
2.781 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.781 * [taylor]: Taking taylor expansion of y.re in y.re
2.781 * [backup-simplify]: Simplify 0 into 0
2.781 * [backup-simplify]: Simplify 1 into 1
2.781 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.781 * [taylor]: Taking taylor expansion of y.im in y.re
2.781 * [backup-simplify]: Simplify y.im into y.im
2.781 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.782 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
2.782 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
2.782 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.782 * [backup-simplify]: Simplify (+ 0 0) into 0
2.782 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
2.782 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.re
2.782 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
2.782 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.782 * [taylor]: Taking taylor expansion of y.re in y.re
2.782 * [backup-simplify]: Simplify 0 into 0
2.782 * [backup-simplify]: Simplify 1 into 1
2.782 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.782 * [taylor]: Taking taylor expansion of y.im in y.re
2.782 * [backup-simplify]: Simplify y.im into y.im
2.782 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.782 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
2.783 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
2.783 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.783 * [backup-simplify]: Simplify (+ 0 0) into 0
2.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
2.783 * [taylor]: Taking taylor expansion of y.im in y.im
2.783 * [backup-simplify]: Simplify 0 into 0
2.783 * [backup-simplify]: Simplify 1 into 1
2.783 * [backup-simplify]: Simplify 0 into 0
2.783 * [taylor]: Taking taylor expansion of 0 in y.im
2.783 * [backup-simplify]: Simplify 0 into 0
2.783 * [backup-simplify]: Simplify 0 into 0
2.783 * [backup-simplify]: Simplify 1 into 1
2.783 * [backup-simplify]: Simplify (* 1 1) into 1
2.784 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
2.784 * [backup-simplify]: Simplify (+ 1 0) into 1
2.785 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
2.785 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im
2.785 * [taylor]: Taking taylor expansion of 1/2 in y.im
2.785 * [backup-simplify]: Simplify 1/2 into 1/2
2.785 * [taylor]: Taking taylor expansion of y.im in y.im
2.785 * [backup-simplify]: Simplify 0 into 0
2.785 * [backup-simplify]: Simplify 1 into 1
2.785 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.786 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.786 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify 0 into 0
2.786 * [backup-simplify]: Simplify 0 into 0
2.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.788 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
2.788 * [backup-simplify]: Simplify (+ 0 0) into 0
2.788 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0
2.788 * [taylor]: Taking taylor expansion of 0 in y.im
2.788 * [backup-simplify]: Simplify 0 into 0
2.788 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify 0 into 0
2.789 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im
2.790 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
2.790 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in (y.re y.im) around 0
2.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
2.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
2.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
2.790 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
2.790 * [taylor]: Taking taylor expansion of y.re in y.im
2.790 * [backup-simplify]: Simplify y.re into y.re
2.790 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.790 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
2.790 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.790 * [taylor]: Taking taylor expansion of y.im in y.im
2.790 * [backup-simplify]: Simplify 0 into 0
2.790 * [backup-simplify]: Simplify 1 into 1
2.791 * [backup-simplify]: Simplify (* 1 1) into 1
2.791 * [backup-simplify]: Simplify (/ 1 1) into 1
2.792 * [backup-simplify]: Simplify (+ 0 1) into 1
2.792 * [backup-simplify]: Simplify (sqrt 1) into 1
2.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.794 * [backup-simplify]: Simplify (+ 0 0) into 0
2.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
2.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
2.795 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
2.795 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.795 * [taylor]: Taking taylor expansion of y.re in y.re
2.795 * [backup-simplify]: Simplify 0 into 0
2.795 * [backup-simplify]: Simplify 1 into 1
2.795 * [backup-simplify]: Simplify (* 1 1) into 1
2.796 * [backup-simplify]: Simplify (/ 1 1) into 1
2.796 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
2.796 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.796 * [taylor]: Taking taylor expansion of y.im in y.re
2.796 * [backup-simplify]: Simplify y.im into y.im
2.796 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.796 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
2.797 * [backup-simplify]: Simplify (+ 1 0) into 1
2.797 * [backup-simplify]: Simplify (sqrt 1) into 1
2.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.799 * [backup-simplify]: Simplify (+ 0 0) into 0
2.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
2.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
2.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
2.800 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.800 * [taylor]: Taking taylor expansion of y.re in y.re
2.800 * [backup-simplify]: Simplify 0 into 0
2.800 * [backup-simplify]: Simplify 1 into 1
2.800 * [backup-simplify]: Simplify (* 1 1) into 1
2.801 * [backup-simplify]: Simplify (/ 1 1) into 1
2.801 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
2.801 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.801 * [taylor]: Taking taylor expansion of y.im in y.re
2.801 * [backup-simplify]: Simplify y.im into y.im
2.801 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.801 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
2.801 * [backup-simplify]: Simplify (+ 1 0) into 1
2.802 * [backup-simplify]: Simplify (sqrt 1) into 1
2.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.803 * [backup-simplify]: Simplify (+ 0 0) into 0
2.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.803 * [taylor]: Taking taylor expansion of 1 in y.im
2.803 * [backup-simplify]: Simplify 1 into 1
2.803 * [taylor]: Taking taylor expansion of 0 in y.im
2.803 * [backup-simplify]: Simplify 0 into 0
2.803 * [backup-simplify]: Simplify 1 into 1
2.804 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.804 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
2.805 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
2.805 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
2.805 * [taylor]: Taking taylor expansion of 1/2 in y.im
2.805 * [backup-simplify]: Simplify 1/2 into 1/2
2.805 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.805 * [taylor]: Taking taylor expansion of y.im in y.im
2.805 * [backup-simplify]: Simplify 0 into 0
2.805 * [backup-simplify]: Simplify 1 into 1
2.806 * [backup-simplify]: Simplify (* 1 1) into 1
2.806 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.807 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.807 * [backup-simplify]: Simplify 0 into 0
2.807 * [backup-simplify]: Simplify 0 into 0
2.807 * [backup-simplify]: Simplify 0 into 0
2.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.808 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
2.809 * [backup-simplify]: Simplify (+ 0 0) into 0
2.809 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
2.809 * [taylor]: Taking taylor expansion of 0 in y.im
2.809 * [backup-simplify]: Simplify 0 into 0
2.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.810 * [backup-simplify]: Simplify 0 into 0
2.810 * [backup-simplify]: Simplify 0 into 0
2.810 * [backup-simplify]: Simplify 0 into 0
2.810 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re
2.811 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
2.811 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in (y.re y.im) around 0
2.811 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
2.811 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
2.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
2.811 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
2.811 * [taylor]: Taking taylor expansion of y.re in y.im
2.811 * [backup-simplify]: Simplify y.re into y.re
2.811 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.811 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.811 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
2.811 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.811 * [taylor]: Taking taylor expansion of y.im in y.im
2.811 * [backup-simplify]: Simplify 0 into 0
2.811 * [backup-simplify]: Simplify 1 into 1
2.811 * [backup-simplify]: Simplify (* 1 1) into 1
2.811 * [backup-simplify]: Simplify (/ 1 1) into 1
2.812 * [backup-simplify]: Simplify (+ 0 1) into 1
2.812 * [backup-simplify]: Simplify (sqrt 1) into 1
2.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.813 * [backup-simplify]: Simplify (+ 0 0) into 0
2.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
2.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
2.813 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
2.813 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.813 * [taylor]: Taking taylor expansion of y.re in y.re
2.813 * [backup-simplify]: Simplify 0 into 0
2.813 * [backup-simplify]: Simplify 1 into 1
2.814 * [backup-simplify]: Simplify (* 1 1) into 1
2.814 * [backup-simplify]: Simplify (/ 1 1) into 1
2.814 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
2.814 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.814 * [taylor]: Taking taylor expansion of y.im in y.re
2.814 * [backup-simplify]: Simplify y.im into y.im
2.814 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.814 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
2.814 * [backup-simplify]: Simplify (+ 1 0) into 1
2.815 * [backup-simplify]: Simplify (sqrt 1) into 1
2.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.816 * [backup-simplify]: Simplify (+ 0 0) into 0
2.816 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
2.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
2.817 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.817 * [taylor]: Taking taylor expansion of y.re in y.re
2.817 * [backup-simplify]: Simplify 0 into 0
2.817 * [backup-simplify]: Simplify 1 into 1
2.817 * [backup-simplify]: Simplify (* 1 1) into 1
2.817 * [backup-simplify]: Simplify (/ 1 1) into 1
2.817 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
2.817 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.817 * [taylor]: Taking taylor expansion of y.im in y.re
2.817 * [backup-simplify]: Simplify y.im into y.im
2.817 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.817 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
2.818 * [backup-simplify]: Simplify (+ 1 0) into 1
2.818 * [backup-simplify]: Simplify (sqrt 1) into 1
2.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.819 * [backup-simplify]: Simplify (+ 0 0) into 0
2.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.819 * [taylor]: Taking taylor expansion of 1 in y.im
2.819 * [backup-simplify]: Simplify 1 into 1
2.819 * [taylor]: Taking taylor expansion of 0 in y.im
2.819 * [backup-simplify]: Simplify 0 into 0
2.819 * [backup-simplify]: Simplify 1 into 1
2.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.821 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
2.821 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
2.821 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
2.821 * [taylor]: Taking taylor expansion of 1/2 in y.im
2.821 * [backup-simplify]: Simplify 1/2 into 1/2
2.821 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.821 * [taylor]: Taking taylor expansion of y.im in y.im
2.821 * [backup-simplify]: Simplify 0 into 0
2.821 * [backup-simplify]: Simplify 1 into 1
2.822 * [backup-simplify]: Simplify (* 1 1) into 1
2.822 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.823 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.823 * [backup-simplify]: Simplify 0 into 0
2.823 * [backup-simplify]: Simplify 0 into 0
2.823 * [backup-simplify]: Simplify 0 into 0
2.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.824 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
2.825 * [backup-simplify]: Simplify (+ 0 0) into 0
2.825 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
2.825 * [taylor]: Taking taylor expansion of 0 in y.im
2.825 * [backup-simplify]: Simplify 0 into 0
2.826 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.826 * [backup-simplify]: Simplify 0 into 0
2.826 * [backup-simplify]: Simplify 0 into 0
2.826 * [backup-simplify]: Simplify 0 into 0
2.826 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re)
2.826 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2)
2.826 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
2.826 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in (y.re y.im) around 0
2.826 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.im
2.827 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
2.827 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
2.827 * [taylor]: Taking taylor expansion of y.re in y.im
2.827 * [backup-simplify]: Simplify y.re into y.re
2.827 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.827 * [taylor]: Taking taylor expansion of y.im in y.im
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify 1 into 1
2.827 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.827 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
2.827 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
2.827 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
2.827 * [backup-simplify]: Simplify (+ 0 0) into 0
2.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
2.827 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.re
2.827 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
2.827 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.827 * [taylor]: Taking taylor expansion of y.re in y.re
2.827 * [backup-simplify]: Simplify 0 into 0
2.827 * [backup-simplify]: Simplify 1 into 1
2.827 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.827 * [taylor]: Taking taylor expansion of y.im in y.re
2.827 * [backup-simplify]: Simplify y.im into y.im
2.827 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.828 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
2.828 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
2.828 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.828 * [backup-simplify]: Simplify (+ 0 0) into 0
2.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
2.828 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.re
2.828 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
2.828 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.828 * [taylor]: Taking taylor expansion of y.re in y.re
2.828 * [backup-simplify]: Simplify 0 into 0
2.828 * [backup-simplify]: Simplify 1 into 1
2.828 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.828 * [taylor]: Taking taylor expansion of y.im in y.re
2.828 * [backup-simplify]: Simplify y.im into y.im
2.828 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.828 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
2.828 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
2.828 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.829 * [backup-simplify]: Simplify (+ 0 0) into 0
2.829 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
2.829 * [taylor]: Taking taylor expansion of y.im in y.im
2.829 * [backup-simplify]: Simplify 0 into 0
2.829 * [backup-simplify]: Simplify 1 into 1
2.829 * [backup-simplify]: Simplify 0 into 0
2.829 * [taylor]: Taking taylor expansion of 0 in y.im
2.829 * [backup-simplify]: Simplify 0 into 0
2.829 * [backup-simplify]: Simplify 0 into 0
2.829 * [backup-simplify]: Simplify 1 into 1
2.829 * [backup-simplify]: Simplify (* 1 1) into 1
2.830 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
2.830 * [backup-simplify]: Simplify (+ 1 0) into 1
2.830 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
2.830 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im
2.830 * [taylor]: Taking taylor expansion of 1/2 in y.im
2.830 * [backup-simplify]: Simplify 1/2 into 1/2
2.831 * [taylor]: Taking taylor expansion of y.im in y.im
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify 1 into 1
2.831 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.831 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify 0 into 0
2.831 * [backup-simplify]: Simplify 0 into 0
2.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.832 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
2.833 * [backup-simplify]: Simplify (+ 0 0) into 0
2.833 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0
2.833 * [taylor]: Taking taylor expansion of 0 in y.im
2.833 * [backup-simplify]: Simplify 0 into 0
2.833 * [backup-simplify]: Simplify 0 into 0
2.833 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.833 * [backup-simplify]: Simplify 0 into 0
2.834 * [backup-simplify]: Simplify 0 into 0
2.834 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im
2.834 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
2.834 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in (y.re y.im) around 0
2.834 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
2.834 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
2.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
2.834 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
2.834 * [taylor]: Taking taylor expansion of y.re in y.im
2.834 * [backup-simplify]: Simplify y.re into y.re
2.834 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.834 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.834 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
2.834 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.834 * [taylor]: Taking taylor expansion of y.im in y.im
2.834 * [backup-simplify]: Simplify 0 into 0
2.834 * [backup-simplify]: Simplify 1 into 1
2.835 * [backup-simplify]: Simplify (* 1 1) into 1
2.835 * [backup-simplify]: Simplify (/ 1 1) into 1
2.836 * [backup-simplify]: Simplify (+ 0 1) into 1
2.836 * [backup-simplify]: Simplify (sqrt 1) into 1
2.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.838 * [backup-simplify]: Simplify (+ 0 0) into 0
2.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.838 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
2.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
2.838 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
2.838 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.838 * [taylor]: Taking taylor expansion of y.re in y.re
2.838 * [backup-simplify]: Simplify 0 into 0
2.838 * [backup-simplify]: Simplify 1 into 1
2.839 * [backup-simplify]: Simplify (* 1 1) into 1
2.839 * [backup-simplify]: Simplify (/ 1 1) into 1
2.839 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
2.839 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.839 * [taylor]: Taking taylor expansion of y.im in y.re
2.839 * [backup-simplify]: Simplify y.im into y.im
2.839 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.840 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
2.840 * [backup-simplify]: Simplify (+ 1 0) into 1
2.840 * [backup-simplify]: Simplify (sqrt 1) into 1
2.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.842 * [backup-simplify]: Simplify (+ 0 0) into 0
2.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.843 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
2.843 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
2.843 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
2.843 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.843 * [taylor]: Taking taylor expansion of y.re in y.re
2.843 * [backup-simplify]: Simplify 0 into 0
2.843 * [backup-simplify]: Simplify 1 into 1
2.843 * [backup-simplify]: Simplify (* 1 1) into 1
2.844 * [backup-simplify]: Simplify (/ 1 1) into 1
2.844 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
2.844 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.844 * [taylor]: Taking taylor expansion of y.im in y.re
2.844 * [backup-simplify]: Simplify y.im into y.im
2.844 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.844 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
2.844 * [backup-simplify]: Simplify (+ 1 0) into 1
2.845 * [backup-simplify]: Simplify (sqrt 1) into 1
2.845 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.846 * [backup-simplify]: Simplify (+ 0 0) into 0
2.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.847 * [taylor]: Taking taylor expansion of 1 in y.im
2.847 * [backup-simplify]: Simplify 1 into 1
2.847 * [taylor]: Taking taylor expansion of 0 in y.im
2.847 * [backup-simplify]: Simplify 0 into 0
2.847 * [backup-simplify]: Simplify 1 into 1
2.848 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.849 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
2.851 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
2.851 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
2.851 * [taylor]: Taking taylor expansion of 1/2 in y.im
2.851 * [backup-simplify]: Simplify 1/2 into 1/2
2.851 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.851 * [taylor]: Taking taylor expansion of y.im in y.im
2.851 * [backup-simplify]: Simplify 0 into 0
2.851 * [backup-simplify]: Simplify 1 into 1
2.851 * [backup-simplify]: Simplify (* 1 1) into 1
2.852 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.853 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.853 * [backup-simplify]: Simplify 0 into 0
2.853 * [backup-simplify]: Simplify 0 into 0
2.853 * [backup-simplify]: Simplify 0 into 0
2.854 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.856 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
2.857 * [backup-simplify]: Simplify (+ 0 0) into 0
2.857 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
2.857 * [taylor]: Taking taylor expansion of 0 in y.im
2.857 * [backup-simplify]: Simplify 0 into 0
2.858 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.859 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify 0 into 0
2.859 * [backup-simplify]: Simplify 0 into 0
2.860 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re
2.860 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
2.860 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in (y.re y.im) around 0
2.860 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
2.860 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
2.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
2.860 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
2.860 * [taylor]: Taking taylor expansion of y.re in y.im
2.860 * [backup-simplify]: Simplify y.re into y.re
2.860 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.860 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.860 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
2.861 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.861 * [taylor]: Taking taylor expansion of y.im in y.im
2.861 * [backup-simplify]: Simplify 0 into 0
2.861 * [backup-simplify]: Simplify 1 into 1
2.861 * [backup-simplify]: Simplify (* 1 1) into 1
2.862 * [backup-simplify]: Simplify (/ 1 1) into 1
2.862 * [backup-simplify]: Simplify (+ 0 1) into 1
2.862 * [backup-simplify]: Simplify (sqrt 1) into 1
2.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.864 * [backup-simplify]: Simplify (+ 0 0) into 0
2.865 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.865 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
2.865 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
2.865 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
2.865 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.865 * [taylor]: Taking taylor expansion of y.re in y.re
2.865 * [backup-simplify]: Simplify 0 into 0
2.866 * [backup-simplify]: Simplify 1 into 1
2.866 * [backup-simplify]: Simplify (* 1 1) into 1
2.866 * [backup-simplify]: Simplify (/ 1 1) into 1
2.866 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
2.866 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.866 * [taylor]: Taking taylor expansion of y.im in y.re
2.866 * [backup-simplify]: Simplify y.im into y.im
2.867 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.867 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
2.867 * [backup-simplify]: Simplify (+ 1 0) into 1
2.868 * [backup-simplify]: Simplify (sqrt 1) into 1
2.868 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.870 * [backup-simplify]: Simplify (+ 0 0) into 0
2.870 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.870 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
2.870 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
2.870 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
2.870 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.871 * [taylor]: Taking taylor expansion of y.re in y.re
2.871 * [backup-simplify]: Simplify 0 into 0
2.871 * [backup-simplify]: Simplify 1 into 1
2.871 * [backup-simplify]: Simplify (* 1 1) into 1
2.871 * [backup-simplify]: Simplify (/ 1 1) into 1
2.871 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
2.871 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.871 * [taylor]: Taking taylor expansion of y.im in y.re
2.872 * [backup-simplify]: Simplify y.im into y.im
2.872 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.872 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
2.872 * [backup-simplify]: Simplify (+ 1 0) into 1
2.873 * [backup-simplify]: Simplify (sqrt 1) into 1
2.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.875 * [backup-simplify]: Simplify (+ 0 0) into 0
2.875 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.875 * [taylor]: Taking taylor expansion of 1 in y.im
2.875 * [backup-simplify]: Simplify 1 into 1
2.875 * [taylor]: Taking taylor expansion of 0 in y.im
2.876 * [backup-simplify]: Simplify 0 into 0
2.876 * [backup-simplify]: Simplify 1 into 1
2.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.878 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
2.879 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
2.879 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
2.879 * [taylor]: Taking taylor expansion of 1/2 in y.im
2.879 * [backup-simplify]: Simplify 1/2 into 1/2
2.879 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.879 * [taylor]: Taking taylor expansion of y.im in y.im
2.879 * [backup-simplify]: Simplify 0 into 0
2.879 * [backup-simplify]: Simplify 1 into 1
2.880 * [backup-simplify]: Simplify (* 1 1) into 1
2.880 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
2.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
2.882 * [backup-simplify]: Simplify 0 into 0
2.882 * [backup-simplify]: Simplify 0 into 0
2.882 * [backup-simplify]: Simplify 0 into 0
2.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.884 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.884 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
2.885 * [backup-simplify]: Simplify (+ 0 0) into 0
2.886 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
2.886 * [taylor]: Taking taylor expansion of 0 in y.im
2.886 * [backup-simplify]: Simplify 0 into 0
2.887 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.888 * [backup-simplify]: Simplify 0 into 0
2.888 * [backup-simplify]: Simplify 0 into 0
2.888 * [backup-simplify]: Simplify 0 into 0
2.888 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re)
2.888 * * * * [progress]: [ 3 / 4 ] generating series at (2 1)
2.889 * [backup-simplify]: Simplify (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) into (* (+ (* y.im x.im) (* y.re x.re)) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))
2.889 * [approximate]: Taking taylor expansion of (* (+ (* y.im x.im) (* y.re x.re)) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) in (x.im y.im x.re y.re) around 0
2.889 * [taylor]: Taking taylor expansion of (* (+ (* y.im x.im) (* y.re x.re)) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) in y.re
2.889 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.re
2.889 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
2.889 * [taylor]: Taking taylor expansion of y.im in y.re
2.889 * [backup-simplify]: Simplify y.im into y.im
2.889 * [taylor]: Taking taylor expansion of x.im in y.re
2.889 * [backup-simplify]: Simplify x.im into x.im
2.889 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
2.889 * [taylor]: Taking taylor expansion of y.re in y.re
2.889 * [backup-simplify]: Simplify 0 into 0
2.889 * [backup-simplify]: Simplify 1 into 1
2.889 * [taylor]: Taking taylor expansion of x.re in y.re
2.889 * [backup-simplify]: Simplify x.re into x.re
2.889 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in y.re
2.889 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in y.re
2.889 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
2.889 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.889 * [taylor]: Taking taylor expansion of y.re in y.re
2.889 * [backup-simplify]: Simplify 0 into 0
2.889 * [backup-simplify]: Simplify 1 into 1
2.889 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.889 * [taylor]: Taking taylor expansion of y.im in y.re
2.889 * [backup-simplify]: Simplify y.im into y.im
2.889 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.890 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
2.890 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
2.890 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im)
2.890 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.891 * [backup-simplify]: Simplify (+ 0 0) into 0
2.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
2.892 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0
2.892 * [taylor]: Taking taylor expansion of (* (+ (* y.im x.im) (* y.re x.re)) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) in x.re
2.892 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.re
2.892 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
2.892 * [taylor]: Taking taylor expansion of y.im in x.re
2.892 * [backup-simplify]: Simplify y.im into y.im
2.892 * [taylor]: Taking taylor expansion of x.im in x.re
2.892 * [backup-simplify]: Simplify x.im into x.im
2.892 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
2.892 * [taylor]: Taking taylor expansion of y.re in x.re
2.892 * [backup-simplify]: Simplify y.re into y.re
2.892 * [taylor]: Taking taylor expansion of x.re in x.re
2.892 * [backup-simplify]: Simplify 0 into 0
2.892 * [backup-simplify]: Simplify 1 into 1
2.892 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in x.re
2.892 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in x.re
2.892 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.re
2.892 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
2.892 * [taylor]: Taking taylor expansion of y.re in x.re
2.892 * [backup-simplify]: Simplify y.re into y.re
2.892 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
2.892 * [taylor]: Taking taylor expansion of y.im in x.re
2.892 * [backup-simplify]: Simplify y.im into y.im
2.893 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.893 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.893 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
2.893 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.re 2) (pow y.im 2)))
2.894 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))
2.894 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
2.894 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.897 * [backup-simplify]: Simplify (+ 0 0) into 0
2.898 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0
2.898 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))) into 0
2.899 * [taylor]: Taking taylor expansion of (* (+ (* y.im x.im) (* y.re x.re)) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) in y.im
2.899 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.im
2.899 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
2.899 * [taylor]: Taking taylor expansion of y.im in y.im
2.899 * [backup-simplify]: Simplify 0 into 0
2.899 * [backup-simplify]: Simplify 1 into 1
2.899 * [taylor]: Taking taylor expansion of x.im in y.im
2.899 * [backup-simplify]: Simplify x.im into x.im
2.899 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
2.899 * [taylor]: Taking taylor expansion of y.re in y.im
2.899 * [backup-simplify]: Simplify y.re into y.re
2.899 * [taylor]: Taking taylor expansion of x.re in y.im
2.899 * [backup-simplify]: Simplify x.re into x.re
2.899 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in y.im
2.899 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in y.im
2.899 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
2.899 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
2.899 * [taylor]: Taking taylor expansion of y.re in y.im
2.899 * [backup-simplify]: Simplify y.re into y.re
2.899 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.899 * [taylor]: Taking taylor expansion of y.im in y.im
2.899 * [backup-simplify]: Simplify 0 into 0
2.899 * [backup-simplify]: Simplify 1 into 1
2.899 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.899 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
2.899 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.900 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.re 2))) into (/ 1 y.re)
2.900 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
2.900 * [backup-simplify]: Simplify (+ 0 0) into 0
2.901 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
2.901 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.re 2))))) into 0
2.901 * [taylor]: Taking taylor expansion of (* (+ (* y.im x.im) (* y.re x.re)) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) in x.im
2.901 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.im
2.901 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
2.901 * [taylor]: Taking taylor expansion of y.im in x.im
2.901 * [backup-simplify]: Simplify y.im into y.im
2.901 * [taylor]: Taking taylor expansion of x.im in x.im
2.901 * [backup-simplify]: Simplify 0 into 0
2.901 * [backup-simplify]: Simplify 1 into 1
2.901 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
2.901 * [taylor]: Taking taylor expansion of y.re in x.im
2.901 * [backup-simplify]: Simplify y.re into y.re
2.901 * [taylor]: Taking taylor expansion of x.re in x.im
2.901 * [backup-simplify]: Simplify x.re into x.re
2.901 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in x.im
2.901 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in x.im
2.901 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.im
2.901 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
2.901 * [taylor]: Taking taylor expansion of y.re in x.im
2.901 * [backup-simplify]: Simplify y.re into y.re
2.901 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
2.902 * [taylor]: Taking taylor expansion of y.im in x.im
2.902 * [backup-simplify]: Simplify y.im into y.im
2.902 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.902 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.902 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
2.902 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.re 2) (pow y.im 2)))
2.902 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))
2.903 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
2.903 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.903 * [backup-simplify]: Simplify (+ 0 0) into 0
2.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0
2.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))) into 0
2.904 * [taylor]: Taking taylor expansion of (* (+ (* y.im x.im) (* y.re x.re)) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) in x.im
2.904 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.im
2.904 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
2.904 * [taylor]: Taking taylor expansion of y.im in x.im
2.904 * [backup-simplify]: Simplify y.im into y.im
2.904 * [taylor]: Taking taylor expansion of x.im in x.im
2.904 * [backup-simplify]: Simplify 0 into 0
2.904 * [backup-simplify]: Simplify 1 into 1
2.904 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
2.904 * [taylor]: Taking taylor expansion of y.re in x.im
2.904 * [backup-simplify]: Simplify y.re into y.re
2.904 * [taylor]: Taking taylor expansion of x.re in x.im
2.904 * [backup-simplify]: Simplify x.re into x.re
2.904 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in x.im
2.904 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in x.im
2.904 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.im
2.905 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
2.905 * [taylor]: Taking taylor expansion of y.re in x.im
2.905 * [backup-simplify]: Simplify y.re into y.re
2.905 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
2.905 * [taylor]: Taking taylor expansion of y.im in x.im
2.905 * [backup-simplify]: Simplify y.im into y.im
2.905 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.905 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.905 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
2.905 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.re 2) (pow y.im 2)))
2.906 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))
2.906 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
2.906 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.906 * [backup-simplify]: Simplify (+ 0 0) into 0
2.907 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0
2.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))) into 0
2.907 * [backup-simplify]: Simplify (* y.im 0) into 0
2.907 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
2.907 * [backup-simplify]: Simplify (+ 0 (* y.re x.re)) into (* y.re x.re)
2.908 * [backup-simplify]: Simplify (* (* y.re x.re) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) into (* (* y.re x.re) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))
2.908 * [taylor]: Taking taylor expansion of (* (* y.re x.re) (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) in y.im
2.908 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
2.908 * [taylor]: Taking taylor expansion of y.re in y.im
2.908 * [backup-simplify]: Simplify y.re into y.re
2.908 * [taylor]: Taking taylor expansion of x.re in y.im
2.908 * [backup-simplify]: Simplify x.re into x.re
2.908 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in y.im
2.908 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in y.im
2.908 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
2.908 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
2.908 * [taylor]: Taking taylor expansion of y.re in y.im
2.908 * [backup-simplify]: Simplify y.re into y.re
2.908 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.908 * [taylor]: Taking taylor expansion of y.im in y.im
2.908 * [backup-simplify]: Simplify 0 into 0
2.908 * [backup-simplify]: Simplify 1 into 1
2.908 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.908 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
2.909 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.909 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.re 2))) into (/ 1 y.re)
2.909 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
2.909 * [backup-simplify]: Simplify (+ 0 0) into 0
2.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
2.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.re 2))))) into 0
2.910 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
2.910 * [backup-simplify]: Simplify (* (* y.re x.re) (/ 1 y.re)) into x.re
2.910 * [taylor]: Taking taylor expansion of x.re in x.re
2.910 * [backup-simplify]: Simplify 0 into 0
2.910 * [backup-simplify]: Simplify 1 into 1
2.910 * [taylor]: Taking taylor expansion of 0 in y.re
2.910 * [backup-simplify]: Simplify 0 into 0
2.910 * [backup-simplify]: Simplify 0 into 0
2.911 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
2.911 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
2.911 * [backup-simplify]: Simplify (+ y.im 0) into y.im
2.911 * [backup-simplify]: Simplify (+ (* (* y.re x.re) 0) (* y.im (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))) into (* y.im (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))
2.911 * [taylor]: Taking taylor expansion of (* y.im (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))) in y.im
2.911 * [taylor]: Taking taylor expansion of y.im in y.im
2.911 * [backup-simplify]: Simplify 0 into 0
2.911 * [backup-simplify]: Simplify 1 into 1
2.911 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in y.im
2.911 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in y.im
2.912 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
2.912 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
2.912 * [taylor]: Taking taylor expansion of y.re in y.im
2.912 * [backup-simplify]: Simplify y.re into y.re
2.912 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.912 * [taylor]: Taking taylor expansion of y.im in y.im
2.912 * [backup-simplify]: Simplify 0 into 0
2.912 * [backup-simplify]: Simplify 1 into 1
2.912 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.912 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
2.912 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.912 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.re 2))) into (/ 1 y.re)
2.912 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
2.913 * [backup-simplify]: Simplify (+ 0 0) into 0
2.913 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
2.913 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.re 2))))) into 0
2.913 * [backup-simplify]: Simplify (* 0 (/ 1 y.re)) into 0
2.913 * [taylor]: Taking taylor expansion of 0 in x.re
2.913 * [backup-simplify]: Simplify 0 into 0
2.913 * [taylor]: Taking taylor expansion of 0 in y.re
2.913 * [backup-simplify]: Simplify 0 into 0
2.913 * [backup-simplify]: Simplify 0 into 0
2.914 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
2.914 * [backup-simplify]: Simplify (+ (* (* y.re x.re) 0) (* 0 (/ 1 y.re))) into 0
2.914 * [taylor]: Taking taylor expansion of 0 in x.re
2.914 * [backup-simplify]: Simplify 0 into 0
2.914 * [taylor]: Taking taylor expansion of 0 in y.re
2.914 * [backup-simplify]: Simplify 0 into 0
2.914 * [backup-simplify]: Simplify 0 into 0
2.914 * [taylor]: Taking taylor expansion of 1 in y.re
2.914 * [backup-simplify]: Simplify 1 into 1
2.914 * [backup-simplify]: Simplify 1 into 1
2.914 * [backup-simplify]: Simplify 0 into 0
2.915 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
2.915 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
2.915 * [backup-simplify]: Simplify (+ 0 0) into 0
2.916 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))) (* 0 (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0
2.917 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))) into 0
2.918 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
2.919 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
2.919 * [backup-simplify]: Simplify (+ 0 0) into 0
2.919 * [backup-simplify]: Simplify (+ (* (* y.re x.re) 0) (+ (* y.im 0) (* 0 (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))))) into 0
2.919 * [taylor]: Taking taylor expansion of 0 in y.im
2.920 * [backup-simplify]: Simplify 0 into 0
2.920 * [taylor]: Taking taylor expansion of 0 in x.re
2.920 * [backup-simplify]: Simplify 0 into 0
2.920 * [taylor]: Taking taylor expansion of 0 in y.re
2.920 * [backup-simplify]: Simplify 0 into 0
2.920 * [backup-simplify]: Simplify 0 into 0
2.920 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (/ 1 y.re))) into (/ 1 y.re)
2.920 * [taylor]: Taking taylor expansion of (/ 1 y.re) in x.re
2.920 * [taylor]: Taking taylor expansion of y.re in x.re
2.920 * [backup-simplify]: Simplify y.re into y.re
2.920 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
2.920 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
2.920 * [taylor]: Taking taylor expansion of y.re in y.re
2.920 * [backup-simplify]: Simplify 0 into 0
2.920 * [backup-simplify]: Simplify 1 into 1
2.921 * [backup-simplify]: Simplify (/ 1 1) into 1
2.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.922 * [backup-simplify]: Simplify 0 into 0
2.922 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
2.923 * [backup-simplify]: Simplify (* 1 1) into 1
2.923 * [backup-simplify]: Simplify (+ 0 1) into 1
2.924 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 1 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into (- (/ 1 (pow y.re 4)))
2.925 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.re 4))) (pow 0 2) (+)) (* 2 (/ 1 y.re))) into (/ -1/2 (pow y.re 3))
2.925 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
2.926 * [backup-simplify]: Simplify (+ (* (* y.re x.re) (/ -1/2 (pow y.re 3))) (+ (* 0 0) (* 0 (/ 1 y.re)))) into (- (* 1/2 (/ x.re (pow y.re 2))))
2.926 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x.re (pow y.re 2)))) in x.re
2.927 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.re (pow y.re 2))) in x.re
2.927 * [taylor]: Taking taylor expansion of 1/2 in x.re
2.927 * [backup-simplify]: Simplify 1/2 into 1/2
2.927 * [taylor]: Taking taylor expansion of (/ x.re (pow y.re 2)) in x.re
2.927 * [taylor]: Taking taylor expansion of x.re in x.re
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 1 into 1
2.927 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
2.927 * [taylor]: Taking taylor expansion of y.re in x.re
2.927 * [backup-simplify]: Simplify y.re into y.re
2.927 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.927 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.927 * [taylor]: Taking taylor expansion of 0 in y.re
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [taylor]: Taking taylor expansion of 0 in y.re
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [taylor]: Taking taylor expansion of 0 in y.re
2.927 * [backup-simplify]: Simplify 0 into 0
2.927 * [backup-simplify]: Simplify 0 into 0
2.928 * [backup-simplify]: Simplify (* 1 (* 1 (* x.re (* 1 1)))) into x.re
2.928 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x.im) (/ 1 y.im)) (* (/ 1 x.re) (/ 1 y.re))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) into (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
2.928 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in (x.im y.im x.re y.re) around 0
2.929 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
2.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
2.929 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
2.929 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
2.929 * [taylor]: Taking taylor expansion of y.im in y.re
2.929 * [backup-simplify]: Simplify y.im into y.im
2.929 * [taylor]: Taking taylor expansion of x.im in y.re
2.929 * [backup-simplify]: Simplify x.im into x.im
2.929 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
2.929 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
2.929 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
2.929 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
2.929 * [taylor]: Taking taylor expansion of y.re in y.re
2.929 * [backup-simplify]: Simplify 0 into 0
2.929 * [backup-simplify]: Simplify 1 into 1
2.929 * [taylor]: Taking taylor expansion of x.re in y.re
2.929 * [backup-simplify]: Simplify x.re into x.re
2.929 * [backup-simplify]: Simplify (* 0 x.re) into 0
2.930 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
2.930 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
2.930 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
2.930 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
2.930 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
2.930 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
2.930 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.930 * [taylor]: Taking taylor expansion of y.re in y.re
2.930 * [backup-simplify]: Simplify 0 into 0
2.930 * [backup-simplify]: Simplify 1 into 1
2.930 * [backup-simplify]: Simplify (* 1 1) into 1
2.931 * [backup-simplify]: Simplify (/ 1 1) into 1
2.931 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
2.931 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.931 * [taylor]: Taking taylor expansion of y.im in y.re
2.931 * [backup-simplify]: Simplify y.im into y.im
2.931 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.931 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
2.932 * [backup-simplify]: Simplify (+ 1 0) into 1
2.932 * [backup-simplify]: Simplify (/ 1 1) into 1
2.932 * [backup-simplify]: Simplify (sqrt 1) into 1
2.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.934 * [backup-simplify]: Simplify (+ 0 0) into 0
2.935 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.936 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.936 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in x.re
2.936 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re
2.936 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
2.936 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
2.936 * [taylor]: Taking taylor expansion of y.im in x.re
2.936 * [backup-simplify]: Simplify y.im into y.im
2.936 * [taylor]: Taking taylor expansion of x.im in x.re
2.936 * [backup-simplify]: Simplify x.im into x.im
2.936 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
2.936 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
2.936 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
2.936 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
2.936 * [taylor]: Taking taylor expansion of y.re in x.re
2.936 * [backup-simplify]: Simplify y.re into y.re
2.936 * [taylor]: Taking taylor expansion of x.re in x.re
2.936 * [backup-simplify]: Simplify 0 into 0
2.936 * [backup-simplify]: Simplify 1 into 1
2.936 * [backup-simplify]: Simplify (* y.re 0) into 0
2.937 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
2.937 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
2.937 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in x.re
2.937 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.re
2.937 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.re
2.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
2.937 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
2.937 * [taylor]: Taking taylor expansion of y.re in x.re
2.937 * [backup-simplify]: Simplify y.re into y.re
2.937 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.937 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.937 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
2.937 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
2.937 * [taylor]: Taking taylor expansion of y.im in x.re
2.937 * [backup-simplify]: Simplify y.im into y.im
2.938 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.938 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
2.938 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
2.938 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
2.939 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
2.939 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
2.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
2.939 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.939 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
2.940 * [backup-simplify]: Simplify (+ 0 0) into 0
2.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
2.941 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
2.941 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.im
2.941 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im
2.941 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
2.941 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
2.941 * [taylor]: Taking taylor expansion of y.im in y.im
2.941 * [backup-simplify]: Simplify 0 into 0
2.941 * [backup-simplify]: Simplify 1 into 1
2.941 * [taylor]: Taking taylor expansion of x.im in y.im
2.941 * [backup-simplify]: Simplify x.im into x.im
2.941 * [backup-simplify]: Simplify (* 0 x.im) into 0
2.942 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
2.942 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
2.942 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
2.942 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
2.942 * [taylor]: Taking taylor expansion of y.re in y.im
2.942 * [backup-simplify]: Simplify y.re into y.re
2.942 * [taylor]: Taking taylor expansion of x.re in y.im
2.942 * [backup-simplify]: Simplify x.re into x.re
2.942 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
2.942 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
2.942 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
2.942 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
2.942 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
2.942 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
2.942 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
2.942 * [taylor]: Taking taylor expansion of y.re in y.im
2.942 * [backup-simplify]: Simplify y.re into y.re
2.943 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.943 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.943 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
2.943 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.943 * [taylor]: Taking taylor expansion of y.im in y.im
2.943 * [backup-simplify]: Simplify 0 into 0
2.943 * [backup-simplify]: Simplify 1 into 1
2.943 * [backup-simplify]: Simplify (* 1 1) into 1
2.944 * [backup-simplify]: Simplify (/ 1 1) into 1
2.944 * [backup-simplify]: Simplify (+ 0 1) into 1
2.944 * [backup-simplify]: Simplify (/ 1 1) into 1
2.945 * [backup-simplify]: Simplify (sqrt 1) into 1
2.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.947 * [backup-simplify]: Simplify (+ 0 0) into 0
2.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.948 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in x.im
2.948 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
2.948 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
2.948 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
2.948 * [taylor]: Taking taylor expansion of y.im in x.im
2.949 * [backup-simplify]: Simplify y.im into y.im
2.949 * [taylor]: Taking taylor expansion of x.im in x.im
2.949 * [backup-simplify]: Simplify 0 into 0
2.949 * [backup-simplify]: Simplify 1 into 1
2.949 * [backup-simplify]: Simplify (* y.im 0) into 0
2.949 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
2.949 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
2.949 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
2.949 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
2.949 * [taylor]: Taking taylor expansion of y.re in x.im
2.949 * [backup-simplify]: Simplify y.re into y.re
2.949 * [taylor]: Taking taylor expansion of x.re in x.im
2.949 * [backup-simplify]: Simplify x.re into x.re
2.949 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
2.949 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
2.949 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in x.im
2.949 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
2.949 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
2.949 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
2.949 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
2.949 * [taylor]: Taking taylor expansion of y.re in x.im
2.949 * [backup-simplify]: Simplify y.re into y.re
2.950 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.950 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.950 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
2.950 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
2.950 * [taylor]: Taking taylor expansion of y.im in x.im
2.950 * [backup-simplify]: Simplify y.im into y.im
2.950 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.950 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
2.950 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
2.950 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
2.950 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
2.950 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
2.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
2.951 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
2.951 * [backup-simplify]: Simplify (+ 0 0) into 0
2.951 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
2.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
2.952 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in x.im
2.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
2.952 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
2.952 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
2.952 * [taylor]: Taking taylor expansion of y.im in x.im
2.952 * [backup-simplify]: Simplify y.im into y.im
2.952 * [taylor]: Taking taylor expansion of x.im in x.im
2.952 * [backup-simplify]: Simplify 0 into 0
2.952 * [backup-simplify]: Simplify 1 into 1
2.952 * [backup-simplify]: Simplify (* y.im 0) into 0
2.952 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
2.952 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
2.952 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
2.952 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
2.952 * [taylor]: Taking taylor expansion of y.re in x.im
2.952 * [backup-simplify]: Simplify y.re into y.re
2.952 * [taylor]: Taking taylor expansion of x.re in x.im
2.952 * [backup-simplify]: Simplify x.re into x.re
2.952 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
2.952 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
2.952 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in x.im
2.952 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
2.952 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
2.952 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
2.952 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
2.952 * [taylor]: Taking taylor expansion of y.re in x.im
2.953 * [backup-simplify]: Simplify y.re into y.re
2.953 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.953 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.953 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
2.953 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
2.953 * [taylor]: Taking taylor expansion of y.im in x.im
2.953 * [backup-simplify]: Simplify y.im into y.im
2.953 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.953 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
2.953 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
2.953 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
2.953 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
2.953 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
2.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
2.954 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
2.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
2.954 * [backup-simplify]: Simplify (+ 0 0) into 0
2.954 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
2.955 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
2.955 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im)
2.955 * [backup-simplify]: Simplify (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
2.955 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.im
2.955 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
2.955 * [taylor]: Taking taylor expansion of y.im in y.im
2.955 * [backup-simplify]: Simplify 0 into 0
2.955 * [backup-simplify]: Simplify 1 into 1
2.955 * [backup-simplify]: Simplify (/ 1 1) into 1
2.955 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
2.955 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
2.955 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
2.955 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
2.955 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
2.955 * [taylor]: Taking taylor expansion of y.re in y.im
2.955 * [backup-simplify]: Simplify y.re into y.re
2.956 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.956 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.956 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
2.956 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.956 * [taylor]: Taking taylor expansion of y.im in y.im
2.956 * [backup-simplify]: Simplify 0 into 0
2.956 * [backup-simplify]: Simplify 1 into 1
2.956 * [backup-simplify]: Simplify (* 1 1) into 1
2.956 * [backup-simplify]: Simplify (/ 1 1) into 1
2.956 * [backup-simplify]: Simplify (+ 0 1) into 1
2.957 * [backup-simplify]: Simplify (/ 1 1) into 1
2.957 * [backup-simplify]: Simplify (sqrt 1) into 1
2.957 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.958 * [backup-simplify]: Simplify (+ 0 0) into 0
2.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.959 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.959 * [backup-simplify]: Simplify (* 1 1) into 1
2.959 * [taylor]: Taking taylor expansion of 1 in x.re
2.959 * [backup-simplify]: Simplify 1 into 1
2.960 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
2.960 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
2.960 * [backup-simplify]: Simplify (+ 0 (/ 1 (* y.re x.re))) into (/ 1 (* y.re x.re))
2.960 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* (/ 1 (* y.re x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into (* (/ 1 (* y.re x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
2.960 * [taylor]: Taking taylor expansion of (* (/ 1 (* y.re x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.im
2.960 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
2.960 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
2.960 * [taylor]: Taking taylor expansion of y.re in y.im
2.960 * [backup-simplify]: Simplify y.re into y.re
2.960 * [taylor]: Taking taylor expansion of x.re in y.im
2.960 * [backup-simplify]: Simplify x.re into x.re
2.960 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
2.960 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
2.960 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
2.960 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
2.960 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
2.960 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
2.960 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
2.960 * [taylor]: Taking taylor expansion of y.re in y.im
2.960 * [backup-simplify]: Simplify y.re into y.re
2.960 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.960 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.961 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
2.961 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
2.961 * [taylor]: Taking taylor expansion of y.im in y.im
2.961 * [backup-simplify]: Simplify 0 into 0
2.961 * [backup-simplify]: Simplify 1 into 1
2.961 * [backup-simplify]: Simplify (* 1 1) into 1
2.961 * [backup-simplify]: Simplify (/ 1 1) into 1
2.961 * [backup-simplify]: Simplify (+ 0 1) into 1
2.962 * [backup-simplify]: Simplify (/ 1 1) into 1
2.962 * [backup-simplify]: Simplify (sqrt 1) into 1
2.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.963 * [backup-simplify]: Simplify (+ 0 0) into 0
2.963 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.964 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.964 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.965 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.965 * [taylor]: Taking taylor expansion of 0 in x.re
2.965 * [backup-simplify]: Simplify 0 into 0
2.965 * [taylor]: Taking taylor expansion of 1 in y.re
2.965 * [backup-simplify]: Simplify 1 into 1
2.965 * [backup-simplify]: Simplify 1 into 1
2.965 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
2.965 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
2.966 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
2.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
2.966 * [backup-simplify]: Simplify (+ 0 0) into 0
2.967 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
2.967 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
2.968 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
2.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
2.968 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
2.968 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
2.968 * [backup-simplify]: Simplify (+ 0 0) into 0
2.969 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* (/ 1 (* y.re x.re)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into 0
2.969 * [taylor]: Taking taylor expansion of 0 in y.im
2.969 * [backup-simplify]: Simplify 0 into 0
2.969 * [taylor]: Taking taylor expansion of 0 in x.re
2.969 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify (* (/ 1 (* y.re x.re)) 1) into (/ 1 (* y.re x.re))
2.969 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
2.969 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
2.969 * [taylor]: Taking taylor expansion of y.re in x.re
2.969 * [backup-simplify]: Simplify y.re into y.re
2.969 * [taylor]: Taking taylor expansion of x.re in x.re
2.969 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify 1 into 1
2.969 * [backup-simplify]: Simplify (* y.re 0) into 0
2.969 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
2.969 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
2.969 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
2.969 * [taylor]: Taking taylor expansion of y.re in y.re
2.969 * [backup-simplify]: Simplify 0 into 0
2.969 * [backup-simplify]: Simplify 1 into 1
2.969 * [backup-simplify]: Simplify (/ 1 1) into 1
2.970 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.970 * [backup-simplify]: Simplify 0 into 0
2.970 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
2.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.971 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) 0) into (/ 1 (pow y.re 2))
2.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.re 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.re 2)))
2.972 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.re 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.re 2))
2.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.973 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow y.re 2))) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (/ 1 (pow y.re 2))))
2.973 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.re 2)))) in x.re
2.973 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.re 2))) in x.re
2.973 * [taylor]: Taking taylor expansion of 1/2 in x.re
2.973 * [backup-simplify]: Simplify 1/2 into 1/2
2.973 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
2.974 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
2.974 * [taylor]: Taking taylor expansion of y.re in x.re
2.974 * [backup-simplify]: Simplify y.re into y.re
2.974 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.974 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.974 * [taylor]: Taking taylor expansion of 0 in y.re
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [taylor]: Taking taylor expansion of 0 in y.re
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify 0 into 0
2.974 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0
2.975 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
2.975 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
2.976 * [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
2.976 * [backup-simplify]: Simplify (+ 0 0) into 0
2.976 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
2.977 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
2.978 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
2.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
2.979 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
2.979 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0
2.980 * [backup-simplify]: Simplify (+ 0 0) into 0
2.981 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* (/ 1 (* y.re x.re)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))))) into 0
2.981 * [taylor]: Taking taylor expansion of 0 in y.im
2.981 * [backup-simplify]: Simplify 0 into 0
2.981 * [taylor]: Taking taylor expansion of 0 in x.re
2.981 * [backup-simplify]: Simplify 0 into 0
2.981 * [taylor]: Taking taylor expansion of 0 in x.re
2.981 * [backup-simplify]: Simplify 0 into 0
2.981 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
2.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
2.982 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.re x.re)) 0) (* 0 1)) into 0
2.982 * [taylor]: Taking taylor expansion of 0 in x.re
2.982 * [backup-simplify]: Simplify 0 into 0
2.982 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
2.982 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
2.983 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
2.984 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.984 * [backup-simplify]: Simplify (+ 0 0) into 0
2.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.re 2)) 1)) (* (- (/ 1 (pow y.re 2))) (/ 0 1)))) into 0
2.987 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.re 2)))))) (* 2 1)) into 0
2.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
2.989 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -1/2 (pow y.re 2))) (+ (* 0 0) (* 0 1)))) into 0
2.989 * [taylor]: Taking taylor expansion of 0 in x.re
2.989 * [backup-simplify]: Simplify 0 into 0
2.989 * [taylor]: Taking taylor expansion of 0 in y.re
2.989 * [backup-simplify]: Simplify 0 into 0
2.989 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
2.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
2.990 * [taylor]: Taking taylor expansion of 0 in y.re
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify 0 into 0
2.990 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 x.im)))))) into x.im
2.991 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x.im)) (/ 1 (- y.im))) (* (/ 1 (- x.re)) (/ 1 (- y.re)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) into (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
2.991 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in (x.im y.im x.re y.re) around 0
2.991 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
2.991 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
2.991 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
2.991 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
2.991 * [taylor]: Taking taylor expansion of y.im in y.re
2.991 * [backup-simplify]: Simplify y.im into y.im
2.991 * [taylor]: Taking taylor expansion of x.im in y.re
2.991 * [backup-simplify]: Simplify x.im into x.im
2.991 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
2.991 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
2.991 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
2.991 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
2.991 * [taylor]: Taking taylor expansion of y.re in y.re
2.991 * [backup-simplify]: Simplify 0 into 0
2.991 * [backup-simplify]: Simplify 1 into 1
2.991 * [taylor]: Taking taylor expansion of x.re in y.re
2.991 * [backup-simplify]: Simplify x.re into x.re
2.991 * [backup-simplify]: Simplify (* 0 x.re) into 0
2.992 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
2.992 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
2.992 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
2.992 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
2.992 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
2.992 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
2.992 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
2.992 * [taylor]: Taking taylor expansion of y.re in y.re
2.992 * [backup-simplify]: Simplify 0 into 0
2.992 * [backup-simplify]: Simplify 1 into 1
2.992 * [backup-simplify]: Simplify (* 1 1) into 1
2.993 * [backup-simplify]: Simplify (/ 1 1) into 1
2.993 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
2.993 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
2.993 * [taylor]: Taking taylor expansion of y.im in y.re
2.993 * [backup-simplify]: Simplify y.im into y.im
2.993 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
2.993 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
2.994 * [backup-simplify]: Simplify (+ 1 0) into 1
2.994 * [backup-simplify]: Simplify (/ 1 1) into 1
2.994 * [backup-simplify]: Simplify (sqrt 1) into 1
2.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
2.996 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.996 * [backup-simplify]: Simplify (+ 0 0) into 0
2.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
2.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
2.998 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in x.re
2.998 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re
2.998 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
2.998 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
2.998 * [taylor]: Taking taylor expansion of y.im in x.re
2.998 * [backup-simplify]: Simplify y.im into y.im
2.998 * [taylor]: Taking taylor expansion of x.im in x.re
2.998 * [backup-simplify]: Simplify x.im into x.im
2.998 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
2.998 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
2.998 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
2.998 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
2.998 * [taylor]: Taking taylor expansion of y.re in x.re
2.998 * [backup-simplify]: Simplify y.re into y.re
2.998 * [taylor]: Taking taylor expansion of x.re in x.re
2.998 * [backup-simplify]: Simplify 0 into 0
2.998 * [backup-simplify]: Simplify 1 into 1
2.998 * [backup-simplify]: Simplify (* y.re 0) into 0
2.999 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
2.999 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
2.999 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in x.re
2.999 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.re
2.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.re
2.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
2.999 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
2.999 * [taylor]: Taking taylor expansion of y.re in x.re
2.999 * [backup-simplify]: Simplify y.re into y.re
2.999 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
2.999 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
2.999 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
2.999 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
2.999 * [taylor]: Taking taylor expansion of y.im in x.re
2.999 * [backup-simplify]: Simplify y.im into y.im
2.999 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.000 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.000 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
3.000 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
3.001 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
3.001 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
3.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
3.001 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
3.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
3.002 * [backup-simplify]: Simplify (+ 0 0) into 0
3.002 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
3.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
3.003 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.im
3.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im
3.003 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
3.003 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
3.003 * [taylor]: Taking taylor expansion of y.im in y.im
3.003 * [backup-simplify]: Simplify 0 into 0
3.003 * [backup-simplify]: Simplify 1 into 1
3.003 * [taylor]: Taking taylor expansion of x.im in y.im
3.003 * [backup-simplify]: Simplify x.im into x.im
3.003 * [backup-simplify]: Simplify (* 0 x.im) into 0
3.004 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
3.004 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
3.004 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
3.004 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
3.004 * [taylor]: Taking taylor expansion of y.re in y.im
3.004 * [backup-simplify]: Simplify y.re into y.re
3.004 * [taylor]: Taking taylor expansion of x.re in y.im
3.004 * [backup-simplify]: Simplify x.re into x.re
3.004 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.004 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
3.004 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
3.004 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
3.004 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
3.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
3.004 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
3.004 * [taylor]: Taking taylor expansion of y.re in y.im
3.004 * [backup-simplify]: Simplify y.re into y.re
3.004 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.004 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.004 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
3.004 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
3.005 * [taylor]: Taking taylor expansion of y.im in y.im
3.005 * [backup-simplify]: Simplify 0 into 0
3.005 * [backup-simplify]: Simplify 1 into 1
3.005 * [backup-simplify]: Simplify (* 1 1) into 1
3.005 * [backup-simplify]: Simplify (/ 1 1) into 1
3.006 * [backup-simplify]: Simplify (+ 0 1) into 1
3.006 * [backup-simplify]: Simplify (/ 1 1) into 1
3.007 * [backup-simplify]: Simplify (sqrt 1) into 1
3.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.008 * [backup-simplify]: Simplify (+ 0 0) into 0
3.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.009 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.009 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in x.im
3.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
3.010 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
3.010 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
3.010 * [taylor]: Taking taylor expansion of y.im in x.im
3.010 * [backup-simplify]: Simplify y.im into y.im
3.010 * [taylor]: Taking taylor expansion of x.im in x.im
3.010 * [backup-simplify]: Simplify 0 into 0
3.010 * [backup-simplify]: Simplify 1 into 1
3.010 * [backup-simplify]: Simplify (* y.im 0) into 0
3.010 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
3.010 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.010 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
3.010 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
3.010 * [taylor]: Taking taylor expansion of y.re in x.im
3.010 * [backup-simplify]: Simplify y.re into y.re
3.010 * [taylor]: Taking taylor expansion of x.re in x.im
3.010 * [backup-simplify]: Simplify x.re into x.re
3.010 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.010 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
3.010 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in x.im
3.010 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
3.010 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
3.010 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
3.010 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
3.010 * [taylor]: Taking taylor expansion of y.re in x.im
3.010 * [backup-simplify]: Simplify y.re into y.re
3.010 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.010 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.011 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
3.011 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
3.011 * [taylor]: Taking taylor expansion of y.im in x.im
3.011 * [backup-simplify]: Simplify y.im into y.im
3.011 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.011 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.011 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
3.011 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
3.011 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
3.011 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
3.011 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
3.012 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
3.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
3.012 * [backup-simplify]: Simplify (+ 0 0) into 0
3.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
3.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
3.013 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in x.im
3.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
3.013 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
3.013 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
3.013 * [taylor]: Taking taylor expansion of y.im in x.im
3.013 * [backup-simplify]: Simplify y.im into y.im
3.013 * [taylor]: Taking taylor expansion of x.im in x.im
3.013 * [backup-simplify]: Simplify 0 into 0
3.013 * [backup-simplify]: Simplify 1 into 1
3.013 * [backup-simplify]: Simplify (* y.im 0) into 0
3.013 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
3.013 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.013 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
3.013 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
3.013 * [taylor]: Taking taylor expansion of y.re in x.im
3.013 * [backup-simplify]: Simplify y.re into y.re
3.013 * [taylor]: Taking taylor expansion of x.re in x.im
3.013 * [backup-simplify]: Simplify x.re into x.re
3.013 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.013 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
3.013 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in x.im
3.013 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
3.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
3.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
3.013 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
3.013 * [taylor]: Taking taylor expansion of y.re in x.im
3.013 * [backup-simplify]: Simplify y.re into y.re
3.014 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.014 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
3.014 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
3.014 * [taylor]: Taking taylor expansion of y.im in x.im
3.014 * [backup-simplify]: Simplify y.im into y.im
3.014 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.014 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.014 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
3.014 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
3.014 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
3.014 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
3.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
3.015 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
3.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
3.015 * [backup-simplify]: Simplify (+ 0 0) into 0
3.015 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
3.016 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
3.016 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im)
3.016 * [backup-simplify]: Simplify (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
3.016 * [taylor]: Taking taylor expansion of (* (/ 1 y.im) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.im
3.016 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
3.016 * [taylor]: Taking taylor expansion of y.im in y.im
3.016 * [backup-simplify]: Simplify 0 into 0
3.016 * [backup-simplify]: Simplify 1 into 1
3.016 * [backup-simplify]: Simplify (/ 1 1) into 1
3.016 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
3.016 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
3.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
3.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
3.016 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
3.016 * [taylor]: Taking taylor expansion of y.re in y.im
3.016 * [backup-simplify]: Simplify y.re into y.re
3.017 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.017 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
3.017 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
3.017 * [taylor]: Taking taylor expansion of y.im in y.im
3.017 * [backup-simplify]: Simplify 0 into 0
3.017 * [backup-simplify]: Simplify 1 into 1
3.017 * [backup-simplify]: Simplify (* 1 1) into 1
3.017 * [backup-simplify]: Simplify (/ 1 1) into 1
3.017 * [backup-simplify]: Simplify (+ 0 1) into 1
3.018 * [backup-simplify]: Simplify (/ 1 1) into 1
3.018 * [backup-simplify]: Simplify (sqrt 1) into 1
3.018 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.019 * [backup-simplify]: Simplify (+ 0 0) into 0
3.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.020 * [backup-simplify]: Simplify (* 1 1) into 1
3.020 * [taylor]: Taking taylor expansion of 1 in x.re
3.020 * [backup-simplify]: Simplify 1 into 1
3.021 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
3.021 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
3.021 * [backup-simplify]: Simplify (+ 0 (/ 1 (* y.re x.re))) into (/ 1 (* y.re x.re))
3.021 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* (/ 1 (* y.re x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into (* (/ 1 (* y.re x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
3.021 * [taylor]: Taking taylor expansion of (* (/ 1 (* y.re x.re)) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.im
3.021 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
3.021 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
3.021 * [taylor]: Taking taylor expansion of y.re in y.im
3.021 * [backup-simplify]: Simplify y.re into y.re
3.021 * [taylor]: Taking taylor expansion of x.re in y.im
3.021 * [backup-simplify]: Simplify x.re into x.re
3.021 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.021 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
3.021 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
3.021 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
3.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
3.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
3.021 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
3.021 * [taylor]: Taking taylor expansion of y.re in y.im
3.021 * [backup-simplify]: Simplify y.re into y.re
3.021 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.022 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
3.022 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
3.022 * [taylor]: Taking taylor expansion of y.im in y.im
3.022 * [backup-simplify]: Simplify 0 into 0
3.022 * [backup-simplify]: Simplify 1 into 1
3.022 * [backup-simplify]: Simplify (* 1 1) into 1
3.022 * [backup-simplify]: Simplify (/ 1 1) into 1
3.022 * [backup-simplify]: Simplify (+ 0 1) into 1
3.023 * [backup-simplify]: Simplify (/ 1 1) into 1
3.023 * [backup-simplify]: Simplify (sqrt 1) into 1
3.023 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.024 * [backup-simplify]: Simplify (+ 0 0) into 0
3.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
3.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.026 * [taylor]: Taking taylor expansion of 0 in x.re
3.026 * [backup-simplify]: Simplify 0 into 0
3.026 * [taylor]: Taking taylor expansion of 1 in y.re
3.026 * [backup-simplify]: Simplify 1 into 1
3.026 * [backup-simplify]: Simplify 1 into 1
3.026 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
3.026 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
3.027 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
3.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
3.027 * [backup-simplify]: Simplify (+ 0 0) into 0
3.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
3.028 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
3.029 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
3.029 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
3.029 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
3.030 * [backup-simplify]: Simplify (+ 0 0) into 0
3.030 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* (/ 1 (* y.re x.re)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))))) into 0
3.030 * [taylor]: Taking taylor expansion of 0 in y.im
3.030 * [backup-simplify]: Simplify 0 into 0
3.030 * [taylor]: Taking taylor expansion of 0 in x.re
3.030 * [backup-simplify]: Simplify 0 into 0
3.030 * [backup-simplify]: Simplify (* (/ 1 (* y.re x.re)) 1) into (/ 1 (* y.re x.re))
3.030 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
3.030 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
3.030 * [taylor]: Taking taylor expansion of y.re in x.re
3.030 * [backup-simplify]: Simplify y.re into y.re
3.030 * [taylor]: Taking taylor expansion of x.re in x.re
3.030 * [backup-simplify]: Simplify 0 into 0
3.030 * [backup-simplify]: Simplify 1 into 1
3.030 * [backup-simplify]: Simplify (* y.re 0) into 0
3.031 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
3.031 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.031 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
3.031 * [taylor]: Taking taylor expansion of y.re in y.re
3.031 * [backup-simplify]: Simplify 0 into 0
3.031 * [backup-simplify]: Simplify 1 into 1
3.031 * [backup-simplify]: Simplify (/ 1 1) into 1
3.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.032 * [backup-simplify]: Simplify 0 into 0
3.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.035 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) 0) into (/ 1 (pow y.re 2))
3.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.re 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.re 2)))
3.036 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.re 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.re 2))
3.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.037 * [backup-simplify]: Simplify (+ (* 1 (/ -1/2 (pow y.re 2))) (+ (* 0 0) (* 0 1))) into (- (* 1/2 (/ 1 (pow y.re 2))))
3.037 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.re 2)))) in x.re
3.037 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.re 2))) in x.re
3.037 * [taylor]: Taking taylor expansion of 1/2 in x.re
3.037 * [backup-simplify]: Simplify 1/2 into 1/2
3.037 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
3.037 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
3.037 * [taylor]: Taking taylor expansion of y.re in x.re
3.037 * [backup-simplify]: Simplify y.re into y.re
3.037 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.038 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.038 * [taylor]: Taking taylor expansion of 0 in y.re
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [taylor]: Taking taylor expansion of 0 in y.re
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify 0 into 0
3.038 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0
3.039 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
3.039 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
3.039 * [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
3.040 * [backup-simplify]: Simplify (+ 0 0) into 0
3.040 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
3.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
3.042 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
3.042 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
3.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0
3.042 * [backup-simplify]: Simplify (+ 0 0) into 0
3.043 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* (/ 1 (* y.re x.re)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))))) into 0
3.043 * [taylor]: Taking taylor expansion of 0 in y.im
3.043 * [backup-simplify]: Simplify 0 into 0
3.043 * [taylor]: Taking taylor expansion of 0 in x.re
3.043 * [backup-simplify]: Simplify 0 into 0
3.043 * [taylor]: Taking taylor expansion of 0 in x.re
3.043 * [backup-simplify]: Simplify 0 into 0
3.043 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
3.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
3.044 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.re x.re)) 0) (* 0 1)) into 0
3.044 * [taylor]: Taking taylor expansion of 0 in x.re
3.044 * [backup-simplify]: Simplify 0 into 0
3.044 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
3.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
3.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.045 * [backup-simplify]: Simplify (+ 0 0) into 0
3.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.re 2)) 1)) (* (- (/ 1 (pow y.re 2))) (/ 0 1)))) into 0
3.047 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.re 2)))))) (* 2 1)) into 0
3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 (/ -1/2 (pow y.re 2))) (+ (* 0 0) (* 0 1)))) into 0
3.048 * [taylor]: Taking taylor expansion of 0 in x.re
3.048 * [backup-simplify]: Simplify 0 into 0
3.048 * [taylor]: Taking taylor expansion of 0 in y.re
3.048 * [backup-simplify]: Simplify 0 into 0
3.048 * [backup-simplify]: Simplify 0 into 0
3.048 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
3.048 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
3.048 * [taylor]: Taking taylor expansion of 0 in y.re
3.048 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x.im))))))) into (* -1 x.im)
3.049 * * * * [progress]: [ 4 / 4 ] generating series at (2)
3.049 * [backup-simplify]: Simplify (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) into (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2)))
3.049 * [approximate]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in (x.im y.im x.re y.re) around 0
3.049 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in y.re
3.049 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.re
3.049 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
3.049 * [taylor]: Taking taylor expansion of y.im in y.re
3.049 * [backup-simplify]: Simplify y.im into y.im
3.049 * [taylor]: Taking taylor expansion of x.im in y.re
3.049 * [backup-simplify]: Simplify x.im into x.im
3.049 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
3.049 * [taylor]: Taking taylor expansion of y.re in y.re
3.049 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify 1 into 1
3.049 * [taylor]: Taking taylor expansion of x.re in y.re
3.049 * [backup-simplify]: Simplify x.re into x.re
3.049 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
3.049 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
3.049 * [taylor]: Taking taylor expansion of y.re in y.re
3.049 * [backup-simplify]: Simplify 0 into 0
3.049 * [backup-simplify]: Simplify 1 into 1
3.049 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
3.049 * [taylor]: Taking taylor expansion of y.im in y.re
3.049 * [backup-simplify]: Simplify y.im into y.im
3.049 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
3.049 * [backup-simplify]: Simplify (* 0 x.re) into 0
3.050 * [backup-simplify]: Simplify (+ (* y.im x.im) 0) into (* y.im x.im)
3.050 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.050 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
3.050 * [backup-simplify]: Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im)
3.050 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in x.re
3.050 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.re
3.050 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
3.050 * [taylor]: Taking taylor expansion of y.im in x.re
3.050 * [backup-simplify]: Simplify y.im into y.im
3.050 * [taylor]: Taking taylor expansion of x.im in x.re
3.050 * [backup-simplify]: Simplify x.im into x.im
3.050 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
3.050 * [taylor]: Taking taylor expansion of y.re in x.re
3.050 * [backup-simplify]: Simplify y.re into y.re
3.050 * [taylor]: Taking taylor expansion of x.re in x.re
3.050 * [backup-simplify]: Simplify 0 into 0
3.050 * [backup-simplify]: Simplify 1 into 1
3.050 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.re
3.050 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
3.050 * [taylor]: Taking taylor expansion of y.re in x.re
3.050 * [backup-simplify]: Simplify y.re into y.re
3.050 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
3.050 * [taylor]: Taking taylor expansion of y.im in x.re
3.050 * [backup-simplify]: Simplify y.im into y.im
3.050 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
3.050 * [backup-simplify]: Simplify (* y.re 0) into 0
3.050 * [backup-simplify]: Simplify (+ (* y.im x.im) 0) into (* y.im x.im)
3.050 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.050 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.050 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
3.051 * [backup-simplify]: Simplify (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2)))
3.051 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in y.im
3.051 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.im
3.051 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
3.051 * [taylor]: Taking taylor expansion of y.im in y.im
3.051 * [backup-simplify]: Simplify 0 into 0
3.051 * [backup-simplify]: Simplify 1 into 1
3.051 * [taylor]: Taking taylor expansion of x.im in y.im
3.051 * [backup-simplify]: Simplify x.im into x.im
3.051 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
3.051 * [taylor]: Taking taylor expansion of y.re in y.im
3.051 * [backup-simplify]: Simplify y.re into y.re
3.051 * [taylor]: Taking taylor expansion of x.re in y.im
3.051 * [backup-simplify]: Simplify x.re into x.re
3.051 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
3.051 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
3.051 * [taylor]: Taking taylor expansion of y.re in y.im
3.051 * [backup-simplify]: Simplify y.re into y.re
3.051 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
3.051 * [taylor]: Taking taylor expansion of y.im in y.im
3.051 * [backup-simplify]: Simplify 0 into 0
3.051 * [backup-simplify]: Simplify 1 into 1
3.051 * [backup-simplify]: Simplify (* 0 x.im) into 0
3.051 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.051 * [backup-simplify]: Simplify (+ 0 (* y.re x.re)) into (* y.re x.re)
3.051 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.051 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
3.051 * [backup-simplify]: Simplify (/ (* y.re x.re) (pow y.re 2)) into (/ x.re y.re)
3.051 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in x.im
3.051 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.im
3.051 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
3.051 * [taylor]: Taking taylor expansion of y.im in x.im
3.051 * [backup-simplify]: Simplify y.im into y.im
3.051 * [taylor]: Taking taylor expansion of x.im in x.im
3.051 * [backup-simplify]: Simplify 0 into 0
3.051 * [backup-simplify]: Simplify 1 into 1
3.051 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
3.051 * [taylor]: Taking taylor expansion of y.re in x.im
3.051 * [backup-simplify]: Simplify y.re into y.re
3.051 * [taylor]: Taking taylor expansion of x.re in x.im
3.051 * [backup-simplify]: Simplify x.re into x.re
3.051 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.im
3.051 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
3.052 * [taylor]: Taking taylor expansion of y.re in x.im
3.052 * [backup-simplify]: Simplify y.re into y.re
3.052 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
3.052 * [taylor]: Taking taylor expansion of y.im in x.im
3.052 * [backup-simplify]: Simplify y.im into y.im
3.052 * [backup-simplify]: Simplify (* y.im 0) into 0
3.052 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.052 * [backup-simplify]: Simplify (+ 0 (* y.re x.re)) into (* y.re x.re)
3.052 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.052 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.052 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
3.052 * [backup-simplify]: Simplify (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2)))
3.052 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in x.im
3.052 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.im
3.052 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
3.052 * [taylor]: Taking taylor expansion of y.im in x.im
3.052 * [backup-simplify]: Simplify y.im into y.im
3.052 * [taylor]: Taking taylor expansion of x.im in x.im
3.052 * [backup-simplify]: Simplify 0 into 0
3.052 * [backup-simplify]: Simplify 1 into 1
3.052 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
3.052 * [taylor]: Taking taylor expansion of y.re in x.im
3.052 * [backup-simplify]: Simplify y.re into y.re
3.052 * [taylor]: Taking taylor expansion of x.re in x.im
3.052 * [backup-simplify]: Simplify x.re into x.re
3.052 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.im
3.052 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
3.052 * [taylor]: Taking taylor expansion of y.re in x.im
3.052 * [backup-simplify]: Simplify y.re into y.re
3.052 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
3.052 * [taylor]: Taking taylor expansion of y.im in x.im
3.052 * [backup-simplify]: Simplify y.im into y.im
3.052 * [backup-simplify]: Simplify (* y.im 0) into 0
3.052 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.053 * [backup-simplify]: Simplify (+ 0 (* y.re x.re)) into (* y.re x.re)
3.053 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.053 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.053 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
3.053 * [backup-simplify]: Simplify (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2)))
3.053 * [taylor]: Taking taylor expansion of (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2))) in y.im
3.053 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
3.053 * [taylor]: Taking taylor expansion of y.re in y.im
3.053 * [backup-simplify]: Simplify y.re into y.re
3.053 * [taylor]: Taking taylor expansion of x.re in y.im
3.053 * [backup-simplify]: Simplify x.re into x.re
3.053 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
3.053 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
3.053 * [taylor]: Taking taylor expansion of y.re in y.im
3.053 * [backup-simplify]: Simplify y.re into y.re
3.053 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
3.053 * [taylor]: Taking taylor expansion of y.im in y.im
3.053 * [backup-simplify]: Simplify 0 into 0
3.053 * [backup-simplify]: Simplify 1 into 1
3.053 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.053 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.053 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
3.053 * [backup-simplify]: Simplify (/ (* y.re x.re) (pow y.re 2)) into (/ x.re y.re)
3.053 * [taylor]: Taking taylor expansion of (/ x.re y.re) in x.re
3.053 * [taylor]: Taking taylor expansion of x.re in x.re
3.054 * [backup-simplify]: Simplify 0 into 0
3.054 * [backup-simplify]: Simplify 1 into 1
3.054 * [taylor]: Taking taylor expansion of y.re in x.re
3.054 * [backup-simplify]: Simplify y.re into y.re
3.054 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.054 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
3.054 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
3.054 * [backup-simplify]: Simplify (+ y.im 0) into y.im
3.054 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
3.054 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
3.054 * [backup-simplify]: Simplify (+ 0 0) into 0
3.055 * [backup-simplify]: Simplify (- (/ y.im (+ (pow y.re 2) (pow y.im 2))) (+ (* (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into (/ y.im (+ (pow y.re 2) (pow y.im 2)))
3.055 * [taylor]: Taking taylor expansion of (/ y.im (+ (pow y.re 2) (pow y.im 2))) in y.im
3.055 * [taylor]: Taking taylor expansion of y.im in y.im
3.055 * [backup-simplify]: Simplify 0 into 0
3.055 * [backup-simplify]: Simplify 1 into 1
3.055 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
3.055 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
3.055 * [taylor]: Taking taylor expansion of y.re in y.im
3.055 * [backup-simplify]: Simplify y.re into y.re
3.055 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
3.055 * [taylor]: Taking taylor expansion of y.im in y.im
3.055 * [backup-simplify]: Simplify 0 into 0
3.055 * [backup-simplify]: Simplify 1 into 1
3.055 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.055 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
3.055 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.055 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
3.055 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
3.056 * [backup-simplify]: Simplify (+ 0 0) into 0
3.056 * [backup-simplify]: Simplify (- (/ 0 (pow y.re 2)) (+ (* (/ x.re y.re) (/ 0 (pow y.re 2))))) into 0
3.056 * [taylor]: Taking taylor expansion of 0 in x.re
3.056 * [backup-simplify]: Simplify 0 into 0
3.056 * [taylor]: Taking taylor expansion of 0 in y.re
3.056 * [backup-simplify]: Simplify 0 into 0
3.056 * [backup-simplify]: Simplify 0 into 0
3.056 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
3.056 * [taylor]: Taking taylor expansion of y.re in y.re
3.056 * [backup-simplify]: Simplify 0 into 0
3.056 * [backup-simplify]: Simplify 1 into 1
3.056 * [backup-simplify]: Simplify (/ 1 1) into 1
3.057 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.057 * [backup-simplify]: Simplify 0 into 0
3.057 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
3.058 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
3.058 * [backup-simplify]: Simplify (+ 0 0) into 0
3.059 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
3.059 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
3.059 * [backup-simplify]: Simplify (+ 0 0) into 0
3.061 * [backup-simplify]: Simplify (- (/ 0 (+ (pow y.re 2) (pow y.im 2))) (+ (* (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))) (* (/ y.im (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0
3.061 * [taylor]: Taking taylor expansion of 0 in y.im
3.061 * [backup-simplify]: Simplify 0 into 0
3.061 * [taylor]: Taking taylor expansion of 0 in x.re
3.061 * [backup-simplify]: Simplify 0 into 0
3.061 * [taylor]: Taking taylor expansion of 0 in y.re
3.061 * [backup-simplify]: Simplify 0 into 0
3.061 * [backup-simplify]: Simplify 0 into 0
3.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
3.061 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
3.061 * [taylor]: Taking taylor expansion of y.re in x.re
3.061 * [backup-simplify]: Simplify y.re into y.re
3.061 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.061 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
3.062 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
3.062 * [taylor]: Taking taylor expansion of y.re in y.re
3.062 * [backup-simplify]: Simplify 0 into 0
3.062 * [backup-simplify]: Simplify 1 into 1
3.062 * [backup-simplify]: Simplify (* 1 1) into 1
3.062 * [backup-simplify]: Simplify (/ 1 1) into 1
3.063 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.066 * [backup-simplify]: Simplify 0 into 0
3.066 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
3.067 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
3.067 * [backup-simplify]: Simplify (* 1 1) into 1
3.068 * [backup-simplify]: Simplify (+ 0 1) into 1
3.069 * [backup-simplify]: Simplify (- (/ 0 (pow y.re 2)) (+ (* (/ x.re y.re) (/ 1 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into (- (/ x.re (pow y.re 3)))
3.069 * [taylor]: Taking taylor expansion of (- (/ x.re (pow y.re 3))) in x.re
3.069 * [taylor]: Taking taylor expansion of (/ x.re (pow y.re 3)) in x.re
3.069 * [taylor]: Taking taylor expansion of x.re in x.re
3.069 * [backup-simplify]: Simplify 0 into 0
3.069 * [backup-simplify]: Simplify 1 into 1
3.069 * [taylor]: Taking taylor expansion of (pow y.re 3) in x.re
3.069 * [taylor]: Taking taylor expansion of y.re in x.re
3.069 * [backup-simplify]: Simplify y.re into y.re
3.069 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.069 * [backup-simplify]: Simplify (* y.re (pow y.re 2)) into (pow y.re 3)
3.069 * [backup-simplify]: Simplify (/ 1 (pow y.re 3)) into (/ 1 (pow y.re 3))
3.069 * [taylor]: Taking taylor expansion of 0 in y.re
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
3.070 * [taylor]: Taking taylor expansion of 0 in y.re
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify 0 into 0
3.070 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 x.im) (/ 1 y.im)) (* (/ 1 x.re) (/ 1 y.re))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))))) into (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
3.071 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in (x.im y.im x.re y.re) around 0
3.071 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
3.071 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
3.071 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
3.071 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
3.071 * [taylor]: Taking taylor expansion of y.im in y.re
3.071 * [backup-simplify]: Simplify y.im into y.im
3.071 * [taylor]: Taking taylor expansion of x.im in y.re
3.071 * [backup-simplify]: Simplify x.im into x.im
3.071 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
3.071 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
3.071 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
3.071 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
3.071 * [taylor]: Taking taylor expansion of y.re in y.re
3.071 * [backup-simplify]: Simplify 0 into 0
3.071 * [backup-simplify]: Simplify 1 into 1
3.071 * [taylor]: Taking taylor expansion of x.re in y.re
3.071 * [backup-simplify]: Simplify x.re into x.re
3.072 * [backup-simplify]: Simplify (* 0 x.re) into 0
3.072 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
3.072 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
3.072 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
3.072 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
3.072 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
3.072 * [taylor]: Taking taylor expansion of y.re in y.re
3.072 * [backup-simplify]: Simplify 0 into 0
3.072 * [backup-simplify]: Simplify 1 into 1
3.073 * [backup-simplify]: Simplify (* 1 1) into 1
3.073 * [backup-simplify]: Simplify (/ 1 1) into 1
3.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
3.073 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
3.073 * [taylor]: Taking taylor expansion of y.im in y.re
3.073 * [backup-simplify]: Simplify y.im into y.im
3.073 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.074 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.074 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re)
3.074 * [backup-simplify]: Simplify (+ 1 0) into 1
3.074 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re)
3.074 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.re
3.074 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re
3.074 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
3.074 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
3.074 * [taylor]: Taking taylor expansion of y.im in x.re
3.074 * [backup-simplify]: Simplify y.im into y.im
3.074 * [taylor]: Taking taylor expansion of x.im in x.re
3.074 * [backup-simplify]: Simplify x.im into x.im
3.075 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
3.075 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
3.075 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
3.075 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
3.075 * [taylor]: Taking taylor expansion of y.re in x.re
3.075 * [backup-simplify]: Simplify y.re into y.re
3.075 * [taylor]: Taking taylor expansion of x.re in x.re
3.075 * [backup-simplify]: Simplify 0 into 0
3.075 * [backup-simplify]: Simplify 1 into 1
3.075 * [backup-simplify]: Simplify (* y.re 0) into 0
3.075 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
3.075 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.075 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.re
3.075 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
3.075 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
3.075 * [taylor]: Taking taylor expansion of y.re in x.re
3.076 * [backup-simplify]: Simplify y.re into y.re
3.076 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.076 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.076 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
3.076 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
3.076 * [taylor]: Taking taylor expansion of y.im in x.re
3.076 * [backup-simplify]: Simplify y.im into y.im
3.076 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.076 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.076 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re)
3.076 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
3.077 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
3.077 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
3.077 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im
3.077 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
3.077 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
3.077 * [taylor]: Taking taylor expansion of y.im in y.im
3.077 * [backup-simplify]: Simplify 0 into 0
3.077 * [backup-simplify]: Simplify 1 into 1
3.077 * [taylor]: Taking taylor expansion of x.im in y.im
3.077 * [backup-simplify]: Simplify x.im into x.im
3.077 * [backup-simplify]: Simplify (* 0 x.im) into 0
3.078 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
3.078 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
3.078 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
3.078 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
3.078 * [taylor]: Taking taylor expansion of y.re in y.im
3.078 * [backup-simplify]: Simplify y.re into y.re
3.078 * [taylor]: Taking taylor expansion of x.re in y.im
3.078 * [backup-simplify]: Simplify x.re into x.re
3.078 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.078 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
3.078 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
3.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
3.078 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
3.078 * [taylor]: Taking taylor expansion of y.re in y.im
3.078 * [backup-simplify]: Simplify y.re into y.re
3.078 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.078 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.078 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
3.078 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
3.078 * [taylor]: Taking taylor expansion of y.im in y.im
3.079 * [backup-simplify]: Simplify 0 into 0
3.079 * [backup-simplify]: Simplify 1 into 1
3.079 * [backup-simplify]: Simplify (* 1 1) into 1
3.079 * [backup-simplify]: Simplify (/ 1 1) into 1
3.079 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
3.080 * [backup-simplify]: Simplify (+ 0 1) into 1
3.080 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
3.080 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
3.080 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
3.080 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
3.080 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
3.080 * [taylor]: Taking taylor expansion of y.im in x.im
3.080 * [backup-simplify]: Simplify y.im into y.im
3.080 * [taylor]: Taking taylor expansion of x.im in x.im
3.080 * [backup-simplify]: Simplify 0 into 0
3.080 * [backup-simplify]: Simplify 1 into 1
3.080 * [backup-simplify]: Simplify (* y.im 0) into 0
3.081 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
3.081 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.081 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
3.081 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
3.081 * [taylor]: Taking taylor expansion of y.re in x.im
3.081 * [backup-simplify]: Simplify y.re into y.re
3.081 * [taylor]: Taking taylor expansion of x.re in x.im
3.081 * [backup-simplify]: Simplify x.re into x.re
3.081 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.081 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
3.081 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
3.081 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
3.081 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
3.081 * [taylor]: Taking taylor expansion of y.re in x.im
3.081 * [backup-simplify]: Simplify y.re into y.re
3.081 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.082 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
3.082 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
3.082 * [taylor]: Taking taylor expansion of y.im in x.im
3.082 * [backup-simplify]: Simplify y.im into y.im
3.082 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.082 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.082 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im)
3.082 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
3.083 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
3.083 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
3.083 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
3.083 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
3.083 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
3.083 * [taylor]: Taking taylor expansion of y.im in x.im
3.083 * [backup-simplify]: Simplify y.im into y.im
3.083 * [taylor]: Taking taylor expansion of x.im in x.im
3.083 * [backup-simplify]: Simplify 0 into 0
3.083 * [backup-simplify]: Simplify 1 into 1
3.083 * [backup-simplify]: Simplify (* y.im 0) into 0
3.084 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
3.084 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.084 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
3.084 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
3.084 * [taylor]: Taking taylor expansion of y.re in x.im
3.084 * [backup-simplify]: Simplify y.re into y.re
3.084 * [taylor]: Taking taylor expansion of x.re in x.im
3.084 * [backup-simplify]: Simplify x.re into x.re
3.084 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.084 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
3.084 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
3.084 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
3.084 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
3.084 * [taylor]: Taking taylor expansion of y.re in x.im
3.084 * [backup-simplify]: Simplify y.re into y.re
3.085 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.085 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.085 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
3.085 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
3.085 * [taylor]: Taking taylor expansion of y.im in x.im
3.085 * [backup-simplify]: Simplify y.im into y.im
3.085 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.085 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.085 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im)
3.086 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
3.086 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
3.086 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
3.086 * [taylor]: Taking taylor expansion of (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
3.086 * [taylor]: Taking taylor expansion of y.im in y.im
3.086 * [backup-simplify]: Simplify 0 into 0
3.086 * [backup-simplify]: Simplify 1 into 1
3.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
3.086 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
3.086 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
3.086 * [taylor]: Taking taylor expansion of y.re in y.im
3.086 * [backup-simplify]: Simplify y.re into y.re
3.086 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.087 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
3.087 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
3.087 * [taylor]: Taking taylor expansion of y.im in y.im
3.087 * [backup-simplify]: Simplify 0 into 0
3.087 * [backup-simplify]: Simplify 1 into 1
3.087 * [backup-simplify]: Simplify (* 1 1) into 1
3.088 * [backup-simplify]: Simplify (/ 1 1) into 1
3.088 * [backup-simplify]: Simplify (+ 0 1) into 1
3.089 * [backup-simplify]: Simplify (* 0 1) into 0
3.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.091 * [backup-simplify]: Simplify (+ 0 0) into 0
3.091 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1)) into 1
3.092 * [backup-simplify]: Simplify (/ 1 1) into 1
3.092 * [taylor]: Taking taylor expansion of 1 in x.re
3.092 * [backup-simplify]: Simplify 1 into 1
3.093 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
3.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
3.093 * [backup-simplify]: Simplify (+ 0 (/ 1 (* y.re x.re))) into (/ 1 (* y.re x.re))
3.093 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
3.093 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
3.093 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
3.094 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
3.094 * [backup-simplify]: Simplify (+ 0 0) into 0
3.095 * [backup-simplify]: Simplify (- (/ (/ 1 (* y.re x.re)) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
3.095 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.im
3.095 * [taylor]: Taking taylor expansion of (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
3.095 * [taylor]: Taking taylor expansion of y.re in y.im
3.095 * [backup-simplify]: Simplify y.re into y.re
3.095 * [taylor]: Taking taylor expansion of (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
3.095 * [taylor]: Taking taylor expansion of x.re in y.im
3.095 * [backup-simplify]: Simplify x.re into x.re
3.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
3.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
3.096 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
3.096 * [taylor]: Taking taylor expansion of y.re in y.im
3.096 * [backup-simplify]: Simplify y.re into y.re
3.096 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.096 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
3.096 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
3.096 * [taylor]: Taking taylor expansion of y.im in y.im
3.096 * [backup-simplify]: Simplify 0 into 0
3.096 * [backup-simplify]: Simplify 1 into 1
3.096 * [backup-simplify]: Simplify (* 1 1) into 1
3.097 * [backup-simplify]: Simplify (/ 1 1) into 1
3.097 * [backup-simplify]: Simplify (+ 0 1) into 1
3.097 * [backup-simplify]: Simplify (* x.re 1) into x.re
3.097 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.097 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
3.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.099 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.100 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) 0) into (/ 1 (pow y.re 2))
3.100 * [backup-simplify]: Simplify (+ (* 0 (/ 1 (pow y.re 2))) (+ (* 1 0) (* 0 1))) into 0
3.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.101 * [taylor]: Taking taylor expansion of 0 in x.re
3.101 * [backup-simplify]: Simplify 0 into 0
3.101 * [taylor]: Taking taylor expansion of 1 in y.re
3.101 * [backup-simplify]: Simplify 1 into 1
3.101 * [backup-simplify]: Simplify 0 into 0
3.102 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
3.103 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
3.103 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
3.103 * [backup-simplify]: Simplify (+ 0 0) into 0
3.104 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
3.104 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
3.105 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
3.105 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
3.105 * [backup-simplify]: Simplify (+ 0 0) into 0
3.107 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
3.107 * [taylor]: Taking taylor expansion of 0 in y.im
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [taylor]: Taking taylor expansion of 0 in x.re
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
3.107 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
3.107 * [taylor]: Taking taylor expansion of y.re in x.re
3.107 * [backup-simplify]: Simplify y.re into y.re
3.107 * [taylor]: Taking taylor expansion of x.re in x.re
3.107 * [backup-simplify]: Simplify 0 into 0
3.107 * [backup-simplify]: Simplify 1 into 1
3.108 * [backup-simplify]: Simplify (* y.re 0) into 0
3.108 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
3.108 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.108 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
3.108 * [taylor]: Taking taylor expansion of y.re in y.re
3.108 * [backup-simplify]: Simplify 0 into 0
3.108 * [backup-simplify]: Simplify 1 into 1
3.109 * [backup-simplify]: Simplify (/ 1 1) into 1
3.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.110 * [backup-simplify]: Simplify 0 into 0
3.111 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
3.111 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
3.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.113 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.113 * [backup-simplify]: Simplify (+ 0 0) into 0
3.115 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 (pow y.re 2))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y.re 2))
3.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.re 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.re 2)))
3.116 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.re 2))) in x.re
3.116 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
3.116 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
3.116 * [taylor]: Taking taylor expansion of y.re in x.re
3.116 * [backup-simplify]: Simplify y.re into y.re
3.116 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.116 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.116 * [taylor]: Taking taylor expansion of 0 in y.re
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [taylor]: Taking taylor expansion of 0 in y.re
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 0 into 0
3.116 * [backup-simplify]: Simplify 0 into 0
3.117 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
3.118 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
3.118 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0
3.119 * [backup-simplify]: Simplify (+ 0 0) into 0
3.120 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0
3.120 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
3.121 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
3.122 * [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
3.122 * [backup-simplify]: Simplify (+ 0 0) into 0
3.124 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
3.124 * [taylor]: Taking taylor expansion of 0 in y.im
3.124 * [backup-simplify]: Simplify 0 into 0
3.124 * [taylor]: Taking taylor expansion of 0 in x.re
3.124 * [backup-simplify]: Simplify 0 into 0
3.124 * [taylor]: Taking taylor expansion of 0 in x.re
3.124 * [backup-simplify]: Simplify 0 into 0
3.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.126 * [backup-simplify]: Simplify (+ 0 0) into 0
3.127 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 1)) into 0
3.127 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
3.127 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
3.127 * [taylor]: Taking taylor expansion of 0 in x.re
3.127 * [backup-simplify]: Simplify 0 into 0
3.128 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
3.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
3.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.131 * [backup-simplify]: Simplify (+ 0 0) into 0
3.133 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (pow y.re 2))) (+ (* 0 0) (* 0 1))))) into 0
3.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.re 2)) 1)) (* (- (/ 1 (pow y.re 2))) (/ 0 1)))) into 0
3.134 * [taylor]: Taking taylor expansion of 0 in x.re
3.134 * [backup-simplify]: Simplify 0 into 0
3.135 * [taylor]: Taking taylor expansion of 0 in y.re
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 0 into 0
3.135 * [backup-simplify]: Simplify 0 into 0
3.136 * [backup-simplify]: Simplify (/ (/ (+ (* (/ 1 (- x.im)) (/ 1 (- y.im))) (* (/ 1 (- x.re)) (/ 1 (- y.re)))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))))) into (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
3.136 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in (x.im y.im x.re y.re) around 0
3.136 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
3.136 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
3.136 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
3.136 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
3.136 * [taylor]: Taking taylor expansion of y.im in y.re
3.136 * [backup-simplify]: Simplify y.im into y.im
3.136 * [taylor]: Taking taylor expansion of x.im in y.re
3.136 * [backup-simplify]: Simplify x.im into x.im
3.136 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
3.136 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
3.136 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
3.136 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
3.136 * [taylor]: Taking taylor expansion of y.re in y.re
3.136 * [backup-simplify]: Simplify 0 into 0
3.136 * [backup-simplify]: Simplify 1 into 1
3.136 * [taylor]: Taking taylor expansion of x.re in y.re
3.136 * [backup-simplify]: Simplify x.re into x.re
3.136 * [backup-simplify]: Simplify (* 0 x.re) into 0
3.137 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
3.137 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
3.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
3.137 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
3.137 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
3.137 * [taylor]: Taking taylor expansion of y.re in y.re
3.137 * [backup-simplify]: Simplify 0 into 0
3.137 * [backup-simplify]: Simplify 1 into 1
3.137 * [backup-simplify]: Simplify (* 1 1) into 1
3.138 * [backup-simplify]: Simplify (/ 1 1) into 1
3.138 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
3.138 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
3.138 * [taylor]: Taking taylor expansion of y.im in y.re
3.138 * [backup-simplify]: Simplify y.im into y.im
3.138 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.138 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.138 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re)
3.139 * [backup-simplify]: Simplify (+ 1 0) into 1
3.139 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re)
3.139 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.re
3.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re
3.139 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
3.139 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
3.139 * [taylor]: Taking taylor expansion of y.im in x.re
3.139 * [backup-simplify]: Simplify y.im into y.im
3.139 * [taylor]: Taking taylor expansion of x.im in x.re
3.139 * [backup-simplify]: Simplify x.im into x.im
3.139 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
3.139 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
3.139 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
3.139 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
3.139 * [taylor]: Taking taylor expansion of y.re in x.re
3.139 * [backup-simplify]: Simplify y.re into y.re
3.139 * [taylor]: Taking taylor expansion of x.re in x.re
3.139 * [backup-simplify]: Simplify 0 into 0
3.139 * [backup-simplify]: Simplify 1 into 1
3.140 * [backup-simplify]: Simplify (* y.re 0) into 0
3.140 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
3.140 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.re
3.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
3.140 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
3.140 * [taylor]: Taking taylor expansion of y.re in x.re
3.140 * [backup-simplify]: Simplify y.re into y.re
3.140 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.140 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
3.140 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
3.140 * [taylor]: Taking taylor expansion of y.im in x.re
3.141 * [backup-simplify]: Simplify y.im into y.im
3.141 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.141 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.141 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re)
3.141 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
3.141 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
3.142 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
3.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im
3.142 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
3.142 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
3.142 * [taylor]: Taking taylor expansion of y.im in y.im
3.142 * [backup-simplify]: Simplify 0 into 0
3.142 * [backup-simplify]: Simplify 1 into 1
3.142 * [taylor]: Taking taylor expansion of x.im in y.im
3.142 * [backup-simplify]: Simplify x.im into x.im
3.142 * [backup-simplify]: Simplify (* 0 x.im) into 0
3.142 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
3.142 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
3.142 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
3.142 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
3.142 * [taylor]: Taking taylor expansion of y.re in y.im
3.142 * [backup-simplify]: Simplify y.re into y.re
3.142 * [taylor]: Taking taylor expansion of x.re in y.im
3.142 * [backup-simplify]: Simplify x.re into x.re
3.143 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.143 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
3.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
3.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
3.143 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
3.143 * [taylor]: Taking taylor expansion of y.re in y.im
3.143 * [backup-simplify]: Simplify y.re into y.re
3.143 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.143 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
3.143 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
3.143 * [taylor]: Taking taylor expansion of y.im in y.im
3.143 * [backup-simplify]: Simplify 0 into 0
3.143 * [backup-simplify]: Simplify 1 into 1
3.144 * [backup-simplify]: Simplify (* 1 1) into 1
3.144 * [backup-simplify]: Simplify (/ 1 1) into 1
3.144 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
3.144 * [backup-simplify]: Simplify (+ 0 1) into 1
3.145 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
3.145 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
3.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
3.145 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
3.145 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
3.145 * [taylor]: Taking taylor expansion of y.im in x.im
3.145 * [backup-simplify]: Simplify y.im into y.im
3.145 * [taylor]: Taking taylor expansion of x.im in x.im
3.145 * [backup-simplify]: Simplify 0 into 0
3.145 * [backup-simplify]: Simplify 1 into 1
3.145 * [backup-simplify]: Simplify (* y.im 0) into 0
3.145 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
3.145 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.145 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
3.145 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
3.145 * [taylor]: Taking taylor expansion of y.re in x.im
3.145 * [backup-simplify]: Simplify y.re into y.re
3.145 * [taylor]: Taking taylor expansion of x.re in x.im
3.146 * [backup-simplify]: Simplify x.re into x.re
3.146 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.146 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
3.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
3.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
3.146 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
3.146 * [taylor]: Taking taylor expansion of y.re in x.im
3.146 * [backup-simplify]: Simplify y.re into y.re
3.146 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.146 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.146 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
3.146 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
3.146 * [taylor]: Taking taylor expansion of y.im in x.im
3.146 * [backup-simplify]: Simplify y.im into y.im
3.146 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.146 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.146 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im)
3.147 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
3.147 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
3.147 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
3.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
3.147 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
3.147 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
3.147 * [taylor]: Taking taylor expansion of y.im in x.im
3.147 * [backup-simplify]: Simplify y.im into y.im
3.147 * [taylor]: Taking taylor expansion of x.im in x.im
3.147 * [backup-simplify]: Simplify 0 into 0
3.147 * [backup-simplify]: Simplify 1 into 1
3.147 * [backup-simplify]: Simplify (* y.im 0) into 0
3.148 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
3.148 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
3.148 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
3.148 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
3.148 * [taylor]: Taking taylor expansion of y.re in x.im
3.148 * [backup-simplify]: Simplify y.re into y.re
3.148 * [taylor]: Taking taylor expansion of x.re in x.im
3.148 * [backup-simplify]: Simplify x.re into x.re
3.148 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.149 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
3.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
3.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
3.149 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
3.149 * [taylor]: Taking taylor expansion of y.re in x.im
3.149 * [backup-simplify]: Simplify y.re into y.re
3.149 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.149 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
3.149 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
3.149 * [taylor]: Taking taylor expansion of y.im in x.im
3.149 * [backup-simplify]: Simplify y.im into y.im
3.149 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
3.149 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
3.149 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im)
3.149 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
3.150 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
3.150 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
3.150 * [taylor]: Taking taylor expansion of (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
3.150 * [taylor]: Taking taylor expansion of y.im in y.im
3.150 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify 1 into 1
3.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
3.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
3.150 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
3.150 * [taylor]: Taking taylor expansion of y.re in y.im
3.150 * [backup-simplify]: Simplify y.re into y.re
3.150 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.150 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.150 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
3.150 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
3.150 * [taylor]: Taking taylor expansion of y.im in y.im
3.150 * [backup-simplify]: Simplify 0 into 0
3.150 * [backup-simplify]: Simplify 1 into 1
3.150 * [backup-simplify]: Simplify (* 1 1) into 1
3.151 * [backup-simplify]: Simplify (/ 1 1) into 1
3.151 * [backup-simplify]: Simplify (+ 0 1) into 1
3.151 * [backup-simplify]: Simplify (* 0 1) into 0
3.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.152 * [backup-simplify]: Simplify (+ 0 0) into 0
3.153 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1)) into 1
3.153 * [backup-simplify]: Simplify (/ 1 1) into 1
3.153 * [taylor]: Taking taylor expansion of 1 in x.re
3.153 * [backup-simplify]: Simplify 1 into 1
3.154 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
3.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
3.154 * [backup-simplify]: Simplify (+ 0 (/ 1 (* y.re x.re))) into (/ 1 (* y.re x.re))
3.154 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
3.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
3.154 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
3.154 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
3.155 * [backup-simplify]: Simplify (+ 0 0) into 0
3.155 * [backup-simplify]: Simplify (- (/ (/ 1 (* y.re x.re)) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
3.155 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.im
3.155 * [taylor]: Taking taylor expansion of (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
3.155 * [taylor]: Taking taylor expansion of y.re in y.im
3.155 * [backup-simplify]: Simplify y.re into y.re
3.155 * [taylor]: Taking taylor expansion of (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
3.155 * [taylor]: Taking taylor expansion of x.re in y.im
3.155 * [backup-simplify]: Simplify x.re into x.re
3.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
3.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
3.155 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
3.155 * [taylor]: Taking taylor expansion of y.re in y.im
3.155 * [backup-simplify]: Simplify y.re into y.re
3.155 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.156 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.156 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
3.156 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
3.156 * [taylor]: Taking taylor expansion of y.im in y.im
3.156 * [backup-simplify]: Simplify 0 into 0
3.156 * [backup-simplify]: Simplify 1 into 1
3.156 * [backup-simplify]: Simplify (* 1 1) into 1
3.156 * [backup-simplify]: Simplify (/ 1 1) into 1
3.156 * [backup-simplify]: Simplify (+ 0 1) into 1
3.156 * [backup-simplify]: Simplify (* x.re 1) into x.re
3.156 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
3.156 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
3.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
3.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.158 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) 0) into (/ 1 (pow y.re 2))
3.158 * [backup-simplify]: Simplify (+ (* 0 (/ 1 (pow y.re 2))) (+ (* 1 0) (* 0 1))) into 0
3.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.159 * [taylor]: Taking taylor expansion of 0 in x.re
3.159 * [backup-simplify]: Simplify 0 into 0
3.159 * [taylor]: Taking taylor expansion of 1 in y.re
3.159 * [backup-simplify]: Simplify 1 into 1
3.159 * [backup-simplify]: Simplify 0 into 0
3.159 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
3.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
3.159 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
3.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
3.160 * [backup-simplify]: Simplify (+ 0 0) into 0
3.160 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
3.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
3.161 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
3.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
3.161 * [backup-simplify]: Simplify (+ 0 0) into 0
3.162 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
3.162 * [taylor]: Taking taylor expansion of 0 in y.im
3.162 * [backup-simplify]: Simplify 0 into 0
3.162 * [taylor]: Taking taylor expansion of 0 in x.re
3.162 * [backup-simplify]: Simplify 0 into 0
3.162 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
3.162 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
3.162 * [taylor]: Taking taylor expansion of y.re in x.re
3.162 * [backup-simplify]: Simplify y.re into y.re
3.162 * [taylor]: Taking taylor expansion of x.re in x.re
3.162 * [backup-simplify]: Simplify 0 into 0
3.162 * [backup-simplify]: Simplify 1 into 1
3.162 * [backup-simplify]: Simplify (* y.re 0) into 0
3.162 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
3.163 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
3.163 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
3.163 * [taylor]: Taking taylor expansion of y.re in y.re
3.163 * [backup-simplify]: Simplify 0 into 0
3.163 * [backup-simplify]: Simplify 1 into 1
3.163 * [backup-simplify]: Simplify (/ 1 1) into 1
3.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.164 * [backup-simplify]: Simplify 0 into 0
3.164 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
3.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
3.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
3.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.165 * [backup-simplify]: Simplify (+ 0 0) into 0
3.166 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 (pow y.re 2))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y.re 2))
3.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.re 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.re 2)))
3.167 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.re 2))) in x.re
3.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
3.167 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
3.167 * [taylor]: Taking taylor expansion of y.re in x.re
3.167 * [backup-simplify]: Simplify y.re into y.re
3.167 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
3.167 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
3.167 * [taylor]: Taking taylor expansion of 0 in y.re
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [taylor]: Taking taylor expansion of 0 in y.re
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 0 into 0
3.167 * [backup-simplify]: Simplify 0 into 0
3.168 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
3.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
3.168 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
3.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0
3.169 * [backup-simplify]: Simplify (+ 0 0) into 0
3.169 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0
3.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
3.170 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
3.170 * [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
3.171 * [backup-simplify]: Simplify (+ 0 0) into 0
3.172 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
3.172 * [taylor]: Taking taylor expansion of 0 in y.im
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [taylor]: Taking taylor expansion of 0 in x.re
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [taylor]: Taking taylor expansion of 0 in x.re
3.172 * [backup-simplify]: Simplify 0 into 0
3.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
3.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
3.173 * [backup-simplify]: Simplify (+ 0 0) into 0
3.173 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 1)) into 0
3.173 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
3.173 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
3.173 * [taylor]: Taking taylor expansion of 0 in x.re
3.173 * [backup-simplify]: Simplify 0 into 0
3.175 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
3.175 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
3.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
3.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
3.177 * [backup-simplify]: Simplify (+ 0 0) into 0
3.178 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (pow y.re 2))) (+ (* 0 0) (* 0 1))))) into 0
3.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.re 2)) 1)) (* (- (/ 1 (pow y.re 2))) (/ 0 1)))) into 0
3.178 * [taylor]: Taking taylor expansion of 0 in x.re
3.178 * [backup-simplify]: Simplify 0 into 0
3.179 * [taylor]: Taking taylor expansion of 0 in y.re
3.179 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify 0 into 0
3.179 * [backup-simplify]: Simplify 0 into 0
3.179 * * * [progress]: simplifying candidates
3.184 * [simplify]: Simplifying:
  (log (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (exp (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt 1)
  (sqrt (+ (* y.re y.re) (* y.im y.im)))
  (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))
  (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im)))))
  (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))
  (sqrt (- (* y.re y.re) (* y.im y.im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (log (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (exp (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt 1)
  (sqrt (+ (* y.re y.re) (* y.im y.im)))
  (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))
  (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im)))))
  (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))
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  (/ 1 2)
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  (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
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  (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
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  (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
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  (/ (* (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt 1))
  (/ (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (* (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))) 1)
  (/ (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt 1))
  (/ (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) 1)
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  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt 1))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) 1)
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt 1))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) 1)
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt 1))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) 1)
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt 1)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt 1)) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt 1)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt 1)) (sqrt 1))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt 1)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt 1)) 1)
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt 1))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) 1)
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) 1) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) 1) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) 1) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) 1) (sqrt 1))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) 1) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) 1) 1)
  (/ (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt 1))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) 1)
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt 1))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))) 1)
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt 1))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) 1)
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt 1)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt 1)) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt 1)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt 1)) (sqrt 1))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt 1)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt 1)) 1)
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
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  (/ (sqrt (- (* y.re y.re) (* y.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (- (* y.re y.re) (* y.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (- (* y.re y.re) (* y.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))) (sqrt 1))
  (/ (sqrt (- (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (- (* y.re y.re) (* y.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))) 1)
  (/ (sqrt (- (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt 1))
  (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1)
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.im y.im) (* x.re y.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (- (* y.re y.re) (* y.im y.im))))
  (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))))
  (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))))
  (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  y.im
  y.re
  (* -1 y.re)
  y.im
  y.re
  (* -1 y.re)
  x.re
  x.im
  (* -1 x.im)
  0
  0
  0
3.192 * * [simplify]: iteration 0: 302 enodes
3.317 * * [simplify]: iteration 1: 755 enodes
3.647 * * [simplify]: iteration 2: 3738 enodes
4.506 * * [simplify]: iteration complete: 5000 enodes
4.507 * * [simplify]: Extracting #0: cost 181 inf + 0
4.513 * * [simplify]: Extracting #1: cost 1575 inf + 9
4.523 * * [simplify]: Extracting #2: cost 1956 inf + 48
4.535 * * [simplify]: Extracting #3: cost 1910 inf + 1939
4.551 * * [simplify]: Extracting #4: cost 1094 inf + 16289
4.564 * * [simplify]: Extracting #5: cost 96 inf + 40299
4.577 * * [simplify]: Extracting #6: cost 3 inf + 42598
4.589 * * [simplify]: Extracting #7: cost 0 inf + 42571
4.605 * [simplify]: Simplified to:
  (log (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (exp (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3)
  (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  1
  (sqrt (+ (* y.re y.re) (* y.im y.im)))
  (sqrt (+ (pow y.re 6) (pow y.im 6)))
  (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (pow y.re (+ 3 1))))
  (sqrt (- (pow y.re (+ 3 1)) (pow y.im (+ 3 1))))
  (sqrt (- (* y.re y.re) (* y.im y.im)))
  1/2
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (log (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (exp (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3)
  (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  1
  (sqrt (+ (* y.re y.re) (* y.im y.im)))
  (sqrt (+ (pow y.re 6) (pow y.im 6)))
  (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (pow y.re (+ 3 1))))
  (sqrt (- (pow y.re (+ 3 1)) (pow y.im (+ 3 1))))
  (sqrt (- (* y.re y.re) (* y.im y.im)))
  1/2
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (log (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (log (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (exp (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (pow (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3)
  (* (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (pow (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3)
  (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (- (* (- x.im) y.im) (* x.re y.re))
  (- (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (sqrt (+ (* y.im x.im) (* x.re y.re)))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (sqrt (+ (* y.im x.im) (* x.re y.re)))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ 1 (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  1
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  1
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (+ (* y.im x.im) (* x.re y.re))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (+ (* y.im x.im) (* x.re y.re))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (pow y.re 6) (pow y.im 6))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (- (pow y.re (+ 3 1)) (pow y.im (+ 3 1)))))
  (* (+ (* x.re (* y.re (- (* x.re y.re) (* y.im x.im)))) (* (* (* y.im y.im) x.im) x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* y.im x.im) (* x.re y.re)))
  (log (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (log (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (log (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (exp (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (pow (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))) 3)
  (pow (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))) 3)
  (* (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))))
  (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (pow (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))) 3)
  (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (/ (- (* (- x.im) y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (- (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
  (/ (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (* (/ (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (* (/ (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (* (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (/ (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (* (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3)) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (* (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (* (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (* (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (* (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (* (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (* (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (/ (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (* (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (/ (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3)))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (sqrt (+ (* y.im x.im) (* x.re y.re)))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (sqrt (+ (* y.im x.im) (* x.re y.re)))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (* (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
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  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
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  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))
  (/ (/ 1 (pow (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ 1 (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ 1 (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (* (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (* (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (* (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (/ (/ 1 (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (* (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  1
  (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  1
  (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))
  (/ 1 (* (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (* (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (/ (/ 1 (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (* (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  1
  (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  1
  (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))
  (/ (/ 1 (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (* (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  1
  (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  1
  (/ (+ (* y.im x.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (+ (* y.im x.im) (* x.re y.re))
  (/ 1 (+ (* y.re y.re) (* y.im y.im)))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (+ (* y.im x.im) (* x.re y.re))
  (/ 1 (+ (* y.re y.re) (* y.im y.im)))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (pow y.re 6) (pow y.im 6)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (pow y.re (+ 3 1)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (pow y.re 6) (pow y.im 6)))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (pow y.re (+ 3 1)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (pow y.re 6) (pow y.im 6))))
  (/ (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (pow y.re (+ 3 1)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (pow y.re 6) (pow y.im 6))))
  (/ (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (pow y.re (+ 3 1)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (pow y.re 6) (pow y.im 6))))
  (/ (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (pow y.re (+ 3 1)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (pow y.re 6) (pow y.im 6))))
  (/ (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (pow y.re (+ 3 1)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (- (pow y.re (+ 3 1)) (pow y.im (+ 3 1)))))
  (/ (sqrt (- (* y.re y.re) (* y.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (- (pow y.re (+ 3 1)) (pow y.im (+ 3 1))))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (- (* y.re y.re) (* y.im y.im))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (- (pow y.re (+ 3 1)) (pow y.im (+ 3 1))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (- (* y.re y.re) (* y.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (- (pow y.re (+ 3 1)) (pow y.im (+ 3 1)))))
  (/ (sqrt (- (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (- (pow y.re (+ 3 1)) (pow y.im (+ 3 1))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (- (* y.re y.re) (* y.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (- (pow y.re (+ 3 1)) (pow y.im (+ 3 1)))))
  (/ (sqrt (- (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.im x.im) (* x.re y.re)))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (* (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (* (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (* (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (* (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (* (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (* (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (* (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.im x.im) (* x.re y.re)))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.im x.im) (* x.re y.re)))
  (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.im x.im) (* x.re y.re)))
  (+ (* y.re y.re) (* y.im y.im))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (pow y.re (+ 3 1)))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (- (* y.re y.re) (* y.im y.im))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (pow y.re 6) (pow y.im 6))))
  (/ (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (- (pow y.re (+ 3 1)) (pow y.im (+ 3 1)))))
  (+ (* y.re y.re) (* y.im y.im))
  y.im
  y.re
  (- y.re)
  y.im
  y.re
  (- y.re)
  x.re
  x.im
  (- x.im)
  0
  0
  0
4.610 * * * [progress]: adding candidates to table
5.907 * * [progress]: iteration 3 / 4
5.907 * * * [progress]: picking best candidate
5.981 * * * * [pick]: Picked  #<alt (λ (x.re x.im y.re y.im) (/ (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>
5.982 * * * [progress]: localizing error
6.028 * * * [progress]: generating rewritten candidates
6.028 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2)
6.037 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1)
6.043 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2)
6.061 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1)
6.122 * * * [progress]: generating series expansions
6.122 * * * * [progress]: [ 1 / 4 ] generating series at (2 2)
6.122 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
6.122 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in (y.re y.im) around 0
6.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.im
6.122 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
6.122 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
6.122 * [taylor]: Taking taylor expansion of y.re in y.im
6.123 * [backup-simplify]: Simplify y.re into y.re
6.123 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.123 * [taylor]: Taking taylor expansion of y.im in y.im
6.123 * [backup-simplify]: Simplify 0 into 0
6.123 * [backup-simplify]: Simplify 1 into 1
6.123 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.123 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
6.123 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
6.123 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.124 * [backup-simplify]: Simplify (+ 0 0) into 0
6.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
6.124 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.re
6.124 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
6.124 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.124 * [taylor]: Taking taylor expansion of y.re in y.re
6.124 * [backup-simplify]: Simplify 0 into 0
6.124 * [backup-simplify]: Simplify 1 into 1
6.124 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.124 * [taylor]: Taking taylor expansion of y.im in y.re
6.124 * [backup-simplify]: Simplify y.im into y.im
6.124 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.125 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
6.125 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
6.125 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.125 * [backup-simplify]: Simplify (+ 0 0) into 0
6.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
6.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.re
6.126 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
6.126 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.126 * [taylor]: Taking taylor expansion of y.re in y.re
6.126 * [backup-simplify]: Simplify 0 into 0
6.126 * [backup-simplify]: Simplify 1 into 1
6.126 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.126 * [taylor]: Taking taylor expansion of y.im in y.re
6.126 * [backup-simplify]: Simplify y.im into y.im
6.126 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.126 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
6.126 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
6.126 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.127 * [backup-simplify]: Simplify (+ 0 0) into 0
6.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
6.127 * [taylor]: Taking taylor expansion of y.im in y.im
6.127 * [backup-simplify]: Simplify 0 into 0
6.127 * [backup-simplify]: Simplify 1 into 1
6.127 * [backup-simplify]: Simplify 0 into 0
6.127 * [taylor]: Taking taylor expansion of 0 in y.im
6.127 * [backup-simplify]: Simplify 0 into 0
6.127 * [backup-simplify]: Simplify 0 into 0
6.127 * [backup-simplify]: Simplify 1 into 1
6.128 * [backup-simplify]: Simplify (* 1 1) into 1
6.128 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
6.129 * [backup-simplify]: Simplify (+ 1 0) into 1
6.129 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
6.129 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im
6.129 * [taylor]: Taking taylor expansion of 1/2 in y.im
6.129 * [backup-simplify]: Simplify 1/2 into 1/2
6.129 * [taylor]: Taking taylor expansion of y.im in y.im
6.129 * [backup-simplify]: Simplify 0 into 0
6.129 * [backup-simplify]: Simplify 1 into 1
6.130 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.131 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.131 * [backup-simplify]: Simplify 0 into 0
6.131 * [backup-simplify]: Simplify 0 into 0
6.131 * [backup-simplify]: Simplify 0 into 0
6.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.132 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
6.133 * [backup-simplify]: Simplify (+ 0 0) into 0
6.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0
6.133 * [taylor]: Taking taylor expansion of 0 in y.im
6.133 * [backup-simplify]: Simplify 0 into 0
6.133 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify 0 into 0
6.134 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im
6.134 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
6.135 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in (y.re y.im) around 0
6.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
6.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
6.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
6.135 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
6.135 * [taylor]: Taking taylor expansion of y.re in y.im
6.135 * [backup-simplify]: Simplify y.re into y.re
6.135 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.135 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.135 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
6.135 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.135 * [taylor]: Taking taylor expansion of y.im in y.im
6.135 * [backup-simplify]: Simplify 0 into 0
6.135 * [backup-simplify]: Simplify 1 into 1
6.135 * [backup-simplify]: Simplify (* 1 1) into 1
6.136 * [backup-simplify]: Simplify (/ 1 1) into 1
6.136 * [backup-simplify]: Simplify (+ 0 1) into 1
6.137 * [backup-simplify]: Simplify (sqrt 1) into 1
6.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.139 * [backup-simplify]: Simplify (+ 0 0) into 0
6.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.139 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.139 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.139 * [taylor]: Taking taylor expansion of y.re in y.re
6.139 * [backup-simplify]: Simplify 0 into 0
6.139 * [backup-simplify]: Simplify 1 into 1
6.140 * [backup-simplify]: Simplify (* 1 1) into 1
6.140 * [backup-simplify]: Simplify (/ 1 1) into 1
6.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.140 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.140 * [taylor]: Taking taylor expansion of y.im in y.re
6.140 * [backup-simplify]: Simplify y.im into y.im
6.140 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.141 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.141 * [backup-simplify]: Simplify (+ 1 0) into 1
6.141 * [backup-simplify]: Simplify (sqrt 1) into 1
6.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.143 * [backup-simplify]: Simplify (+ 0 0) into 0
6.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.144 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.144 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.144 * [taylor]: Taking taylor expansion of y.re in y.re
6.144 * [backup-simplify]: Simplify 0 into 0
6.144 * [backup-simplify]: Simplify 1 into 1
6.144 * [backup-simplify]: Simplify (* 1 1) into 1
6.145 * [backup-simplify]: Simplify (/ 1 1) into 1
6.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.145 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.145 * [taylor]: Taking taylor expansion of y.im in y.re
6.145 * [backup-simplify]: Simplify y.im into y.im
6.145 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.145 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.146 * [backup-simplify]: Simplify (+ 1 0) into 1
6.146 * [backup-simplify]: Simplify (sqrt 1) into 1
6.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.148 * [backup-simplify]: Simplify (+ 0 0) into 0
6.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.149 * [taylor]: Taking taylor expansion of 1 in y.im
6.149 * [backup-simplify]: Simplify 1 into 1
6.149 * [taylor]: Taking taylor expansion of 0 in y.im
6.149 * [backup-simplify]: Simplify 0 into 0
6.149 * [backup-simplify]: Simplify 1 into 1
6.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.151 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
6.152 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
6.152 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
6.152 * [taylor]: Taking taylor expansion of 1/2 in y.im
6.152 * [backup-simplify]: Simplify 1/2 into 1/2
6.152 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.152 * [taylor]: Taking taylor expansion of y.im in y.im
6.152 * [backup-simplify]: Simplify 0 into 0
6.152 * [backup-simplify]: Simplify 1 into 1
6.153 * [backup-simplify]: Simplify (* 1 1) into 1
6.153 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.155 * [backup-simplify]: Simplify 0 into 0
6.155 * [backup-simplify]: Simplify 0 into 0
6.155 * [backup-simplify]: Simplify 0 into 0
6.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.157 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.157 * [backup-simplify]: Simplify (+ 0 0) into 0
6.158 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
6.158 * [taylor]: Taking taylor expansion of 0 in y.im
6.158 * [backup-simplify]: Simplify 0 into 0
6.159 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.160 * [backup-simplify]: Simplify 0 into 0
6.160 * [backup-simplify]: Simplify 0 into 0
6.160 * [backup-simplify]: Simplify 0 into 0
6.160 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re
6.161 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
6.161 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in (y.re y.im) around 0
6.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
6.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
6.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
6.161 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
6.161 * [taylor]: Taking taylor expansion of y.re in y.im
6.161 * [backup-simplify]: Simplify y.re into y.re
6.161 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.161 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.161 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
6.161 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.161 * [taylor]: Taking taylor expansion of y.im in y.im
6.161 * [backup-simplify]: Simplify 0 into 0
6.161 * [backup-simplify]: Simplify 1 into 1
6.162 * [backup-simplify]: Simplify (* 1 1) into 1
6.162 * [backup-simplify]: Simplify (/ 1 1) into 1
6.163 * [backup-simplify]: Simplify (+ 0 1) into 1
6.163 * [backup-simplify]: Simplify (sqrt 1) into 1
6.164 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.165 * [backup-simplify]: Simplify (+ 0 0) into 0
6.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.165 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.165 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.166 * [taylor]: Taking taylor expansion of y.re in y.re
6.166 * [backup-simplify]: Simplify 0 into 0
6.166 * [backup-simplify]: Simplify 1 into 1
6.166 * [backup-simplify]: Simplify (* 1 1) into 1
6.166 * [backup-simplify]: Simplify (/ 1 1) into 1
6.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.166 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.166 * [taylor]: Taking taylor expansion of y.im in y.re
6.166 * [backup-simplify]: Simplify y.im into y.im
6.166 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.167 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.167 * [backup-simplify]: Simplify (+ 1 0) into 1
6.167 * [backup-simplify]: Simplify (sqrt 1) into 1
6.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.169 * [backup-simplify]: Simplify (+ 0 0) into 0
6.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.170 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.170 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.170 * [taylor]: Taking taylor expansion of y.re in y.re
6.170 * [backup-simplify]: Simplify 0 into 0
6.170 * [backup-simplify]: Simplify 1 into 1
6.170 * [backup-simplify]: Simplify (* 1 1) into 1
6.171 * [backup-simplify]: Simplify (/ 1 1) into 1
6.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.171 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.171 * [taylor]: Taking taylor expansion of y.im in y.re
6.171 * [backup-simplify]: Simplify y.im into y.im
6.171 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.171 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.172 * [backup-simplify]: Simplify (+ 1 0) into 1
6.172 * [backup-simplify]: Simplify (sqrt 1) into 1
6.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.174 * [backup-simplify]: Simplify (+ 0 0) into 0
6.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.175 * [taylor]: Taking taylor expansion of 1 in y.im
6.175 * [backup-simplify]: Simplify 1 into 1
6.175 * [taylor]: Taking taylor expansion of 0 in y.im
6.175 * [backup-simplify]: Simplify 0 into 0
6.175 * [backup-simplify]: Simplify 1 into 1
6.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.177 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
6.178 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
6.178 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
6.178 * [taylor]: Taking taylor expansion of 1/2 in y.im
6.178 * [backup-simplify]: Simplify 1/2 into 1/2
6.178 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.178 * [taylor]: Taking taylor expansion of y.im in y.im
6.178 * [backup-simplify]: Simplify 0 into 0
6.178 * [backup-simplify]: Simplify 1 into 1
6.179 * [backup-simplify]: Simplify (* 1 1) into 1
6.179 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.180 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.180 * [backup-simplify]: Simplify 0 into 0
6.180 * [backup-simplify]: Simplify 0 into 0
6.180 * [backup-simplify]: Simplify 0 into 0
6.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.182 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.183 * [backup-simplify]: Simplify (+ 0 0) into 0
6.184 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
6.184 * [taylor]: Taking taylor expansion of 0 in y.im
6.184 * [backup-simplify]: Simplify 0 into 0
6.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.186 * [backup-simplify]: Simplify 0 into 0
6.186 * [backup-simplify]: Simplify 0 into 0
6.186 * [backup-simplify]: Simplify 0 into 0
6.186 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re)
6.186 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1)
6.186 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
6.186 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in (y.re y.im) around 0
6.186 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.im
6.186 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
6.186 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
6.186 * [taylor]: Taking taylor expansion of y.re in y.im
6.186 * [backup-simplify]: Simplify y.re into y.re
6.186 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.186 * [taylor]: Taking taylor expansion of y.im in y.im
6.186 * [backup-simplify]: Simplify 0 into 0
6.187 * [backup-simplify]: Simplify 1 into 1
6.187 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.187 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
6.187 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
6.187 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.187 * [backup-simplify]: Simplify (+ 0 0) into 0
6.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
6.188 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.re
6.188 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
6.188 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.188 * [taylor]: Taking taylor expansion of y.re in y.re
6.188 * [backup-simplify]: Simplify 0 into 0
6.188 * [backup-simplify]: Simplify 1 into 1
6.188 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.188 * [taylor]: Taking taylor expansion of y.im in y.re
6.188 * [backup-simplify]: Simplify y.im into y.im
6.188 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.188 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
6.188 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
6.188 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.189 * [backup-simplify]: Simplify (+ 0 0) into 0
6.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
6.189 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.re
6.189 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
6.189 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.189 * [taylor]: Taking taylor expansion of y.re in y.re
6.189 * [backup-simplify]: Simplify 0 into 0
6.189 * [backup-simplify]: Simplify 1 into 1
6.189 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.189 * [taylor]: Taking taylor expansion of y.im in y.re
6.189 * [backup-simplify]: Simplify y.im into y.im
6.189 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.189 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
6.189 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
6.189 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.190 * [backup-simplify]: Simplify (+ 0 0) into 0
6.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
6.190 * [taylor]: Taking taylor expansion of y.im in y.im
6.190 * [backup-simplify]: Simplify 0 into 0
6.190 * [backup-simplify]: Simplify 1 into 1
6.190 * [backup-simplify]: Simplify 0 into 0
6.190 * [taylor]: Taking taylor expansion of 0 in y.im
6.190 * [backup-simplify]: Simplify 0 into 0
6.190 * [backup-simplify]: Simplify 0 into 0
6.190 * [backup-simplify]: Simplify 1 into 1
6.191 * [backup-simplify]: Simplify (* 1 1) into 1
6.191 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
6.191 * [backup-simplify]: Simplify (+ 1 0) into 1
6.192 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
6.192 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im
6.192 * [taylor]: Taking taylor expansion of 1/2 in y.im
6.192 * [backup-simplify]: Simplify 1/2 into 1/2
6.192 * [taylor]: Taking taylor expansion of y.im in y.im
6.192 * [backup-simplify]: Simplify 0 into 0
6.192 * [backup-simplify]: Simplify 1 into 1
6.193 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.194 * [backup-simplify]: Simplify 0 into 0
6.194 * [backup-simplify]: Simplify 0 into 0
6.194 * [backup-simplify]: Simplify 0 into 0
6.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.195 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
6.196 * [backup-simplify]: Simplify (+ 0 0) into 0
6.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0
6.196 * [taylor]: Taking taylor expansion of 0 in y.im
6.196 * [backup-simplify]: Simplify 0 into 0
6.196 * [backup-simplify]: Simplify 0 into 0
6.197 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.197 * [backup-simplify]: Simplify 0 into 0
6.197 * [backup-simplify]: Simplify 0 into 0
6.198 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im
6.198 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
6.198 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in (y.re y.im) around 0
6.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
6.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
6.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
6.198 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
6.198 * [taylor]: Taking taylor expansion of y.re in y.im
6.198 * [backup-simplify]: Simplify y.re into y.re
6.198 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.198 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
6.198 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.198 * [taylor]: Taking taylor expansion of y.im in y.im
6.198 * [backup-simplify]: Simplify 0 into 0
6.198 * [backup-simplify]: Simplify 1 into 1
6.199 * [backup-simplify]: Simplify (* 1 1) into 1
6.199 * [backup-simplify]: Simplify (/ 1 1) into 1
6.200 * [backup-simplify]: Simplify (+ 0 1) into 1
6.200 * [backup-simplify]: Simplify (sqrt 1) into 1
6.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.202 * [backup-simplify]: Simplify (+ 0 0) into 0
6.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.203 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.203 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.203 * [taylor]: Taking taylor expansion of y.re in y.re
6.203 * [backup-simplify]: Simplify 0 into 0
6.203 * [backup-simplify]: Simplify 1 into 1
6.203 * [backup-simplify]: Simplify (* 1 1) into 1
6.204 * [backup-simplify]: Simplify (/ 1 1) into 1
6.204 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.204 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.204 * [taylor]: Taking taylor expansion of y.im in y.re
6.204 * [backup-simplify]: Simplify y.im into y.im
6.204 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.204 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.204 * [backup-simplify]: Simplify (+ 1 0) into 1
6.205 * [backup-simplify]: Simplify (sqrt 1) into 1
6.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.207 * [backup-simplify]: Simplify (+ 0 0) into 0
6.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.208 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.208 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.208 * [taylor]: Taking taylor expansion of y.re in y.re
6.208 * [backup-simplify]: Simplify 0 into 0
6.208 * [backup-simplify]: Simplify 1 into 1
6.208 * [backup-simplify]: Simplify (* 1 1) into 1
6.209 * [backup-simplify]: Simplify (/ 1 1) into 1
6.209 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.209 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.209 * [taylor]: Taking taylor expansion of y.im in y.re
6.209 * [backup-simplify]: Simplify y.im into y.im
6.209 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.209 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.214 * [backup-simplify]: Simplify (+ 1 0) into 1
6.214 * [backup-simplify]: Simplify (sqrt 1) into 1
6.215 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.215 * [backup-simplify]: Simplify (+ 0 0) into 0
6.216 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.216 * [taylor]: Taking taylor expansion of 1 in y.im
6.216 * [backup-simplify]: Simplify 1 into 1
6.216 * [taylor]: Taking taylor expansion of 0 in y.im
6.216 * [backup-simplify]: Simplify 0 into 0
6.216 * [backup-simplify]: Simplify 1 into 1
6.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.217 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
6.218 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
6.218 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
6.218 * [taylor]: Taking taylor expansion of 1/2 in y.im
6.218 * [backup-simplify]: Simplify 1/2 into 1/2
6.218 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.218 * [taylor]: Taking taylor expansion of y.im in y.im
6.218 * [backup-simplify]: Simplify 0 into 0
6.218 * [backup-simplify]: Simplify 1 into 1
6.218 * [backup-simplify]: Simplify (* 1 1) into 1
6.219 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.220 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.220 * [backup-simplify]: Simplify 0 into 0
6.220 * [backup-simplify]: Simplify 0 into 0
6.220 * [backup-simplify]: Simplify 0 into 0
6.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.221 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.221 * [backup-simplify]: Simplify (+ 0 0) into 0
6.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
6.222 * [taylor]: Taking taylor expansion of 0 in y.im
6.222 * [backup-simplify]: Simplify 0 into 0
6.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.223 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify 0 into 0
6.223 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re
6.223 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
6.223 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in (y.re y.im) around 0
6.223 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
6.223 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
6.223 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
6.223 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
6.223 * [taylor]: Taking taylor expansion of y.re in y.im
6.223 * [backup-simplify]: Simplify y.re into y.re
6.223 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.224 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.224 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
6.224 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.224 * [taylor]: Taking taylor expansion of y.im in y.im
6.224 * [backup-simplify]: Simplify 0 into 0
6.224 * [backup-simplify]: Simplify 1 into 1
6.224 * [backup-simplify]: Simplify (* 1 1) into 1
6.224 * [backup-simplify]: Simplify (/ 1 1) into 1
6.224 * [backup-simplify]: Simplify (+ 0 1) into 1
6.225 * [backup-simplify]: Simplify (sqrt 1) into 1
6.225 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.226 * [backup-simplify]: Simplify (+ 0 0) into 0
6.226 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.226 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.226 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.226 * [taylor]: Taking taylor expansion of y.re in y.re
6.226 * [backup-simplify]: Simplify 0 into 0
6.226 * [backup-simplify]: Simplify 1 into 1
6.226 * [backup-simplify]: Simplify (* 1 1) into 1
6.227 * [backup-simplify]: Simplify (/ 1 1) into 1
6.227 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.227 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.227 * [taylor]: Taking taylor expansion of y.im in y.re
6.227 * [backup-simplify]: Simplify y.im into y.im
6.227 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.227 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.227 * [backup-simplify]: Simplify (+ 1 0) into 1
6.227 * [backup-simplify]: Simplify (sqrt 1) into 1
6.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.229 * [backup-simplify]: Simplify (+ 0 0) into 0
6.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.229 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.229 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.229 * [taylor]: Taking taylor expansion of y.re in y.re
6.229 * [backup-simplify]: Simplify 0 into 0
6.229 * [backup-simplify]: Simplify 1 into 1
6.229 * [backup-simplify]: Simplify (* 1 1) into 1
6.230 * [backup-simplify]: Simplify (/ 1 1) into 1
6.230 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.230 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.230 * [taylor]: Taking taylor expansion of y.im in y.re
6.230 * [backup-simplify]: Simplify y.im into y.im
6.230 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.230 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.230 * [backup-simplify]: Simplify (+ 1 0) into 1
6.230 * [backup-simplify]: Simplify (sqrt 1) into 1
6.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.231 * [backup-simplify]: Simplify (+ 0 0) into 0
6.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.232 * [taylor]: Taking taylor expansion of 1 in y.im
6.232 * [backup-simplify]: Simplify 1 into 1
6.232 * [taylor]: Taking taylor expansion of 0 in y.im
6.232 * [backup-simplify]: Simplify 0 into 0
6.232 * [backup-simplify]: Simplify 1 into 1
6.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.233 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
6.234 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
6.234 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im
6.234 * [taylor]: Taking taylor expansion of 1/2 in y.im
6.234 * [backup-simplify]: Simplify 1/2 into 1/2
6.234 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.234 * [taylor]: Taking taylor expansion of y.im in y.im
6.234 * [backup-simplify]: Simplify 0 into 0
6.234 * [backup-simplify]: Simplify 1 into 1
6.234 * [backup-simplify]: Simplify (* 1 1) into 1
6.235 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2
6.235 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.235 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0
6.235 * [backup-simplify]: Simplify 0 into 0
6.235 * [backup-simplify]: Simplify 0 into 0
6.236 * [backup-simplify]: Simplify 0 into 0
6.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.237 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.237 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.237 * [backup-simplify]: Simplify (+ 0 0) into 0
6.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0
6.238 * [taylor]: Taking taylor expansion of 0 in y.im
6.238 * [backup-simplify]: Simplify 0 into 0
6.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.239 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify 0 into 0
6.239 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re)
6.239 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2)
6.239 * [backup-simplify]: Simplify (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))) into (* (sqrt (+ (pow y.re 2) (pow y.im 2))) (/ 1 (+ (* y.im x.im) (* y.re x.re))))
6.239 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y.re 2) (pow y.im 2))) (/ 1 (+ (* y.im x.im) (* y.re x.re)))) in (y.re y.im x.im x.re) around 0
6.239 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.re 2) (pow y.im 2))) (/ 1 (+ (* y.im x.im) (* y.re x.re)))) in x.re
6.239 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in x.re
6.239 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.re
6.239 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
6.239 * [taylor]: Taking taylor expansion of y.re in x.re
6.239 * [backup-simplify]: Simplify y.re into y.re
6.239 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
6.239 * [taylor]: Taking taylor expansion of y.im in x.re
6.239 * [backup-simplify]: Simplify y.im into y.im
6.239 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.240 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.240 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
6.240 * [backup-simplify]: Simplify (sqrt (+ (pow y.re 2) (pow y.im 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
6.240 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.240 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.240 * [backup-simplify]: Simplify (+ 0 0) into 0
6.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
6.240 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.im x.im) (* y.re x.re))) in x.re
6.240 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.re
6.240 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
6.240 * [taylor]: Taking taylor expansion of y.im in x.re
6.240 * [backup-simplify]: Simplify y.im into y.im
6.240 * [taylor]: Taking taylor expansion of x.im in x.re
6.241 * [backup-simplify]: Simplify x.im into x.im
6.241 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
6.241 * [taylor]: Taking taylor expansion of y.re in x.re
6.241 * [backup-simplify]: Simplify y.re into y.re
6.241 * [taylor]: Taking taylor expansion of x.re in x.re
6.241 * [backup-simplify]: Simplify 0 into 0
6.241 * [backup-simplify]: Simplify 1 into 1
6.241 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.241 * [backup-simplify]: Simplify (* y.re 0) into 0
6.241 * [backup-simplify]: Simplify (+ (* y.im x.im) 0) into (* y.im x.im)
6.241 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.241 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.re 2) (pow y.im 2))) (/ 1 (+ (* y.im x.im) (* y.re x.re)))) in x.im
6.241 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in x.im
6.241 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.im
6.241 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
6.241 * [taylor]: Taking taylor expansion of y.re in x.im
6.241 * [backup-simplify]: Simplify y.re into y.re
6.241 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
6.241 * [taylor]: Taking taylor expansion of y.im in x.im
6.241 * [backup-simplify]: Simplify y.im into y.im
6.241 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.241 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.241 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
6.241 * [backup-simplify]: Simplify (sqrt (+ (pow y.re 2) (pow y.im 2))) into (sqrt (+ (pow y.re 2) (pow y.im 2)))
6.241 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.241 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.242 * [backup-simplify]: Simplify (+ 0 0) into 0
6.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0
6.242 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.im x.im) (* y.re x.re))) in x.im
6.242 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.im
6.242 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
6.242 * [taylor]: Taking taylor expansion of y.im in x.im
6.242 * [backup-simplify]: Simplify y.im into y.im
6.242 * [taylor]: Taking taylor expansion of x.im in x.im
6.242 * [backup-simplify]: Simplify 0 into 0
6.242 * [backup-simplify]: Simplify 1 into 1
6.242 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
6.242 * [taylor]: Taking taylor expansion of y.re in x.im
6.242 * [backup-simplify]: Simplify y.re into y.re
6.242 * [taylor]: Taking taylor expansion of x.re in x.im
6.242 * [backup-simplify]: Simplify x.re into x.re
6.242 * [backup-simplify]: Simplify (* y.im 0) into 0
6.242 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
6.242 * [backup-simplify]: Simplify (+ 0 (* y.re x.re)) into (* y.re x.re)
6.242 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
6.242 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.re 2) (pow y.im 2))) (/ 1 (+ (* y.im x.im) (* y.re x.re)))) in y.im
6.242 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.im
6.242 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
6.242 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
6.242 * [taylor]: Taking taylor expansion of y.re in y.im
6.242 * [backup-simplify]: Simplify y.re into y.re
6.242 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.242 * [taylor]: Taking taylor expansion of y.im in y.im
6.242 * [backup-simplify]: Simplify 0 into 0
6.242 * [backup-simplify]: Simplify 1 into 1
6.242 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.243 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
6.243 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re
6.243 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.243 * [backup-simplify]: Simplify (+ 0 0) into 0
6.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0
6.243 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.im x.im) (* y.re x.re))) in y.im
6.243 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.im
6.243 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
6.243 * [taylor]: Taking taylor expansion of y.im in y.im
6.243 * [backup-simplify]: Simplify 0 into 0
6.243 * [backup-simplify]: Simplify 1 into 1
6.243 * [taylor]: Taking taylor expansion of x.im in y.im
6.243 * [backup-simplify]: Simplify x.im into x.im
6.243 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
6.243 * [taylor]: Taking taylor expansion of y.re in y.im
6.243 * [backup-simplify]: Simplify y.re into y.re
6.243 * [taylor]: Taking taylor expansion of x.re in y.im
6.243 * [backup-simplify]: Simplify x.re into x.re
6.243 * [backup-simplify]: Simplify (* 0 x.im) into 0
6.243 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
6.243 * [backup-simplify]: Simplify (+ 0 (* y.re x.re)) into (* y.re x.re)
6.243 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
6.243 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.re 2) (pow y.im 2))) (/ 1 (+ (* y.im x.im) (* y.re x.re)))) in y.re
6.243 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.re
6.243 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
6.244 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.244 * [taylor]: Taking taylor expansion of y.re in y.re
6.244 * [backup-simplify]: Simplify 0 into 0
6.244 * [backup-simplify]: Simplify 1 into 1
6.244 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.244 * [taylor]: Taking taylor expansion of y.im in y.re
6.244 * [backup-simplify]: Simplify y.im into y.im
6.244 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.244 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
6.244 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
6.244 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.244 * [backup-simplify]: Simplify (+ 0 0) into 0
6.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
6.244 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.im x.im) (* y.re x.re))) in y.re
6.244 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.re
6.244 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
6.244 * [taylor]: Taking taylor expansion of y.im in y.re
6.244 * [backup-simplify]: Simplify y.im into y.im
6.244 * [taylor]: Taking taylor expansion of x.im in y.re
6.244 * [backup-simplify]: Simplify x.im into x.im
6.244 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
6.244 * [taylor]: Taking taylor expansion of y.re in y.re
6.244 * [backup-simplify]: Simplify 0 into 0
6.244 * [backup-simplify]: Simplify 1 into 1
6.244 * [taylor]: Taking taylor expansion of x.re in y.re
6.244 * [backup-simplify]: Simplify x.re into x.re
6.245 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.245 * [backup-simplify]: Simplify (* 0 x.re) into 0
6.245 * [backup-simplify]: Simplify (+ (* y.im x.im) 0) into (* y.im x.im)
6.245 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.245 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.re 2) (pow y.im 2))) (/ 1 (+ (* y.im x.im) (* y.re x.re)))) in y.re
6.245 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.re 2) (pow y.im 2))) in y.re
6.245 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
6.245 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.245 * [taylor]: Taking taylor expansion of y.re in y.re
6.245 * [backup-simplify]: Simplify 0 into 0
6.245 * [backup-simplify]: Simplify 1 into 1
6.245 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.245 * [taylor]: Taking taylor expansion of y.im in y.re
6.245 * [backup-simplify]: Simplify y.im into y.im
6.245 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.245 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
6.245 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im
6.245 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.245 * [backup-simplify]: Simplify (+ 0 0) into 0
6.245 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0
6.245 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.im x.im) (* y.re x.re))) in y.re
6.246 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.re
6.246 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
6.246 * [taylor]: Taking taylor expansion of y.im in y.re
6.246 * [backup-simplify]: Simplify y.im into y.im
6.246 * [taylor]: Taking taylor expansion of x.im in y.re
6.246 * [backup-simplify]: Simplify x.im into x.im
6.246 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
6.246 * [taylor]: Taking taylor expansion of y.re in y.re
6.246 * [backup-simplify]: Simplify 0 into 0
6.246 * [backup-simplify]: Simplify 1 into 1
6.246 * [taylor]: Taking taylor expansion of x.re in y.re
6.246 * [backup-simplify]: Simplify x.re into x.re
6.246 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.246 * [backup-simplify]: Simplify (* 0 x.re) into 0
6.246 * [backup-simplify]: Simplify (+ (* y.im x.im) 0) into (* y.im x.im)
6.246 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.246 * [backup-simplify]: Simplify (* y.im (/ 1 (* y.im x.im))) into (/ 1 x.im)
6.246 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.im
6.246 * [taylor]: Taking taylor expansion of x.im in y.im
6.246 * [backup-simplify]: Simplify x.im into x.im
6.246 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
6.246 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im
6.246 * [taylor]: Taking taylor expansion of x.im in x.im
6.246 * [backup-simplify]: Simplify 0 into 0
6.246 * [backup-simplify]: Simplify 1 into 1
6.247 * [backup-simplify]: Simplify (/ 1 1) into 1
6.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.247 * [taylor]: Taking taylor expansion of 0 in x.re
6.247 * [backup-simplify]: Simplify 0 into 0
6.247 * [backup-simplify]: Simplify 0 into 0
6.247 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
6.247 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
6.248 * [backup-simplify]: Simplify (+ 0 x.re) into x.re
6.248 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ x.re (* y.im x.im))))) into (- (/ x.re (* (pow y.im 2) (pow x.im 2))))
6.248 * [backup-simplify]: Simplify (+ (* y.im (- (/ x.re (* (pow y.im 2) (pow x.im 2))))) (* 0 (/ 1 (* y.im x.im)))) into (- (/ x.re (* y.im (pow x.im 2))))
6.248 * [taylor]: Taking taylor expansion of (- (/ x.re (* y.im (pow x.im 2)))) in y.im
6.248 * [taylor]: Taking taylor expansion of (/ x.re (* y.im (pow x.im 2))) in y.im
6.248 * [taylor]: Taking taylor expansion of x.re in y.im
6.248 * [backup-simplify]: Simplify x.re into x.re
6.248 * [taylor]: Taking taylor expansion of (* y.im (pow x.im 2)) in y.im
6.248 * [taylor]: Taking taylor expansion of y.im in y.im
6.248 * [backup-simplify]: Simplify 0 into 0
6.248 * [backup-simplify]: Simplify 1 into 1
6.248 * [taylor]: Taking taylor expansion of (pow x.im 2) in y.im
6.248 * [taylor]: Taking taylor expansion of x.im in y.im
6.248 * [backup-simplify]: Simplify x.im into x.im
6.248 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2)
6.248 * [backup-simplify]: Simplify (* 0 (pow x.im 2)) into 0
6.248 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0
6.249 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow x.im 2))) into (pow x.im 2)
6.249 * [backup-simplify]: Simplify (/ x.re (pow x.im 2)) into (/ x.re (pow x.im 2))
6.249 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 x.im))) into 0
6.250 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow x.im 2)))) into 0
6.250 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ x.re (pow x.im 2)) (/ 0 (pow x.im 2))))) into 0
6.250 * [backup-simplify]: Simplify (- 0) into 0
6.250 * [taylor]: Taking taylor expansion of 0 in x.im
6.250 * [backup-simplify]: Simplify 0 into 0
6.250 * [taylor]: Taking taylor expansion of 0 in x.re
6.250 * [backup-simplify]: Simplify 0 into 0
6.250 * [backup-simplify]: Simplify 0 into 0
6.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
6.250 * [taylor]: Taking taylor expansion of 0 in x.im
6.250 * [backup-simplify]: Simplify 0 into 0
6.250 * [taylor]: Taking taylor expansion of 0 in x.re
6.250 * [backup-simplify]: Simplify 0 into 0
6.250 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.251 * [taylor]: Taking taylor expansion of 0 in x.re
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify 0 into 0
6.251 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
6.252 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0
6.252 * [backup-simplify]: Simplify (+ 0 0) into 0
6.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* (- (/ x.re (* (pow y.im 2) (pow x.im 2)))) (/ x.re (* y.im x.im))))) into (/ (pow x.re 2) (* (pow y.im 3) (pow x.im 3)))
6.253 * [backup-simplify]: Simplify (* 1 1) into 1
6.253 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
6.253 * [backup-simplify]: Simplify (+ 1 0) into 1
6.254 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im)
6.254 * [backup-simplify]: Simplify (+ (* y.im (/ (pow x.re 2) (* (pow y.im 3) (pow x.im 3)))) (+ (* 0 (- (/ x.re (* (pow y.im 2) (pow x.im 2))))) (* (/ 1/2 y.im) (/ 1 (* y.im x.im))))) into (+ (/ (pow x.re 2) (* (pow y.im 2) (pow x.im 3))) (* 1/2 (/ 1 (* (pow y.im 2) x.im))))
6.255 * [taylor]: Taking taylor expansion of (+ (/ (pow x.re 2) (* (pow y.im 2) (pow x.im 3))) (* 1/2 (/ 1 (* (pow y.im 2) x.im)))) in y.im
6.255 * [taylor]: Taking taylor expansion of (/ (pow x.re 2) (* (pow y.im 2) (pow x.im 3))) in y.im
6.255 * [taylor]: Taking taylor expansion of (pow x.re 2) in y.im
6.255 * [taylor]: Taking taylor expansion of x.re in y.im
6.255 * [backup-simplify]: Simplify x.re into x.re
6.255 * [taylor]: Taking taylor expansion of (* (pow y.im 2) (pow x.im 3)) in y.im
6.255 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.255 * [taylor]: Taking taylor expansion of y.im in y.im
6.255 * [backup-simplify]: Simplify 0 into 0
6.255 * [backup-simplify]: Simplify 1 into 1
6.255 * [taylor]: Taking taylor expansion of (pow x.im 3) in y.im
6.255 * [taylor]: Taking taylor expansion of x.im in y.im
6.255 * [backup-simplify]: Simplify x.im into x.im
6.255 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2)
6.255 * [backup-simplify]: Simplify (* 1 1) into 1
6.255 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2)
6.255 * [backup-simplify]: Simplify (* x.im (pow x.im 2)) into (pow x.im 3)
6.255 * [backup-simplify]: Simplify (* 1 (pow x.im 3)) into (pow x.im 3)
6.255 * [backup-simplify]: Simplify (/ (pow x.re 2) (pow x.im 3)) into (/ (pow x.re 2) (pow x.im 3))
6.255 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y.im 2) x.im))) in y.im
6.255 * [taylor]: Taking taylor expansion of 1/2 in y.im
6.255 * [backup-simplify]: Simplify 1/2 into 1/2
6.255 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.im)) in y.im
6.255 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.im) in y.im
6.255 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.255 * [taylor]: Taking taylor expansion of y.im in y.im
6.256 * [backup-simplify]: Simplify 0 into 0
6.256 * [backup-simplify]: Simplify 1 into 1
6.256 * [taylor]: Taking taylor expansion of x.im in y.im
6.256 * [backup-simplify]: Simplify x.im into x.im
6.256 * [backup-simplify]: Simplify (* 1 1) into 1
6.256 * [backup-simplify]: Simplify (* 1 x.im) into x.im
6.256 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
6.256 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 x.re))) into 0
6.256 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 x.im))) into 0
6.257 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0
6.257 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 (pow x.im 2)))) into 0
6.257 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.257 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 (pow x.im 2))) into 0
6.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow x.im 3)))) into 0
6.259 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0
6.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow x.im 3))) into 0
6.259 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 3)) (+ (* (/ (pow x.re 2) (pow x.im 3)) (/ 0 (pow x.im 3))))) into 0
6.260 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 3)) (+ (* (/ (pow x.re 2) (pow x.im 3)) (/ 0 (pow x.im 3))) (* 0 (/ 0 (pow x.im 3))))) into 0
6.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
6.261 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
6.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
6.262 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
6.262 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x.im)))) into 0
6.262 * [backup-simplify]: Simplify (+ 0 0) into 0
6.262 * [taylor]: Taking taylor expansion of 0 in x.im
6.262 * [backup-simplify]: Simplify 0 into 0
6.262 * [taylor]: Taking taylor expansion of 0 in x.re
6.262 * [backup-simplify]: Simplify 0 into 0
6.262 * [backup-simplify]: Simplify 0 into 0
6.262 * [backup-simplify]: Simplify 0 into 0
6.263 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) (+ (* (/ 1 y.im) (/ 1 x.im)) (* (/ 1 x.re) (/ 1 y.re)))) into (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
6.263 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in (y.re y.im x.im x.re) around 0
6.263 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in x.re
6.263 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.re
6.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re
6.263 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
6.263 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
6.263 * [taylor]: Taking taylor expansion of y.im in x.re
6.263 * [backup-simplify]: Simplify y.im into y.im
6.263 * [taylor]: Taking taylor expansion of x.im in x.re
6.263 * [backup-simplify]: Simplify x.im into x.im
6.263 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.263 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.263 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
6.263 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
6.263 * [taylor]: Taking taylor expansion of y.re in x.re
6.263 * [backup-simplify]: Simplify y.re into y.re
6.263 * [taylor]: Taking taylor expansion of x.re in x.re
6.263 * [backup-simplify]: Simplify 0 into 0
6.263 * [backup-simplify]: Simplify 1 into 1
6.263 * [backup-simplify]: Simplify (* y.re 0) into 0
6.263 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
6.263 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
6.264 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re)
6.264 * [backup-simplify]: Simplify (/ 1 (/ 1 y.re)) into y.re
6.264 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.re
6.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.re
6.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
6.264 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
6.264 * [taylor]: Taking taylor expansion of y.re in x.re
6.264 * [backup-simplify]: Simplify y.re into y.re
6.264 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.264 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
6.264 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
6.264 * [taylor]: Taking taylor expansion of y.im in x.re
6.264 * [backup-simplify]: Simplify y.im into y.im
6.264 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.264 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.264 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
6.264 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
6.265 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
6.265 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.265 * [backup-simplify]: Simplify (+ 0 0) into 0
6.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
6.266 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in x.im
6.266 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.im
6.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
6.266 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
6.266 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
6.266 * [taylor]: Taking taylor expansion of y.im in x.im
6.266 * [backup-simplify]: Simplify y.im into y.im
6.266 * [taylor]: Taking taylor expansion of x.im in x.im
6.266 * [backup-simplify]: Simplify 0 into 0
6.266 * [backup-simplify]: Simplify 1 into 1
6.266 * [backup-simplify]: Simplify (* y.im 0) into 0
6.266 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
6.266 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
6.266 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
6.266 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
6.266 * [taylor]: Taking taylor expansion of y.re in x.im
6.266 * [backup-simplify]: Simplify y.re into y.re
6.266 * [taylor]: Taking taylor expansion of x.re in x.im
6.266 * [backup-simplify]: Simplify x.re into x.re
6.266 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
6.266 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
6.266 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im)
6.267 * [backup-simplify]: Simplify (/ 1 (/ 1 y.im)) into y.im
6.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
6.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
6.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
6.267 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
6.267 * [taylor]: Taking taylor expansion of y.re in x.im
6.267 * [backup-simplify]: Simplify y.re into y.re
6.267 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.267 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.267 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
6.267 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
6.267 * [taylor]: Taking taylor expansion of y.im in x.im
6.267 * [backup-simplify]: Simplify y.im into y.im
6.267 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.267 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.267 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
6.267 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
6.267 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
6.268 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.268 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.268 * [backup-simplify]: Simplify (+ 0 0) into 0
6.268 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
6.268 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
6.268 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.im
6.268 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im
6.268 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
6.268 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
6.268 * [taylor]: Taking taylor expansion of y.im in y.im
6.268 * [backup-simplify]: Simplify 0 into 0
6.268 * [backup-simplify]: Simplify 1 into 1
6.268 * [taylor]: Taking taylor expansion of x.im in y.im
6.268 * [backup-simplify]: Simplify x.im into x.im
6.269 * [backup-simplify]: Simplify (* 0 x.im) into 0
6.269 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
6.269 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
6.269 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
6.269 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
6.269 * [taylor]: Taking taylor expansion of y.re in y.im
6.269 * [backup-simplify]: Simplify y.re into y.re
6.269 * [taylor]: Taking taylor expansion of x.re in y.im
6.269 * [backup-simplify]: Simplify x.re into x.re
6.269 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
6.269 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
6.269 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
6.269 * [backup-simplify]: Simplify (/ 1 (/ 1 x.im)) into x.im
6.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
6.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
6.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
6.269 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
6.269 * [taylor]: Taking taylor expansion of y.re in y.im
6.269 * [backup-simplify]: Simplify y.re into y.re
6.269 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.269 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.269 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
6.269 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.269 * [taylor]: Taking taylor expansion of y.im in y.im
6.269 * [backup-simplify]: Simplify 0 into 0
6.269 * [backup-simplify]: Simplify 1 into 1
6.270 * [backup-simplify]: Simplify (* 1 1) into 1
6.270 * [backup-simplify]: Simplify (/ 1 1) into 1
6.270 * [backup-simplify]: Simplify (+ 0 1) into 1
6.270 * [backup-simplify]: Simplify (sqrt 1) into 1
6.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.272 * [backup-simplify]: Simplify (+ 0 0) into 0
6.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.272 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
6.272 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re
6.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
6.272 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
6.272 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
6.272 * [taylor]: Taking taylor expansion of y.im in y.re
6.272 * [backup-simplify]: Simplify y.im into y.im
6.272 * [taylor]: Taking taylor expansion of x.im in y.re
6.272 * [backup-simplify]: Simplify x.im into x.im
6.272 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.272 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.272 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
6.272 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
6.272 * [taylor]: Taking taylor expansion of y.re in y.re
6.272 * [backup-simplify]: Simplify 0 into 0
6.272 * [backup-simplify]: Simplify 1 into 1
6.272 * [taylor]: Taking taylor expansion of x.re in y.re
6.272 * [backup-simplify]: Simplify x.re into x.re
6.272 * [backup-simplify]: Simplify (* 0 x.re) into 0
6.273 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
6.273 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.273 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re)
6.273 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re
6.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.273 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.273 * [taylor]: Taking taylor expansion of y.re in y.re
6.273 * [backup-simplify]: Simplify 0 into 0
6.273 * [backup-simplify]: Simplify 1 into 1
6.273 * [backup-simplify]: Simplify (* 1 1) into 1
6.273 * [backup-simplify]: Simplify (/ 1 1) into 1
6.273 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.273 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.273 * [taylor]: Taking taylor expansion of y.im in y.re
6.274 * [backup-simplify]: Simplify y.im into y.im
6.274 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.274 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.274 * [backup-simplify]: Simplify (+ 1 0) into 1
6.274 * [backup-simplify]: Simplify (sqrt 1) into 1
6.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.275 * [backup-simplify]: Simplify (+ 0 0) into 0
6.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.276 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
6.276 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re
6.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
6.276 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
6.276 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
6.276 * [taylor]: Taking taylor expansion of y.im in y.re
6.276 * [backup-simplify]: Simplify y.im into y.im
6.276 * [taylor]: Taking taylor expansion of x.im in y.re
6.276 * [backup-simplify]: Simplify x.im into x.im
6.276 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.276 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.276 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
6.276 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
6.276 * [taylor]: Taking taylor expansion of y.re in y.re
6.276 * [backup-simplify]: Simplify 0 into 0
6.276 * [backup-simplify]: Simplify 1 into 1
6.276 * [taylor]: Taking taylor expansion of x.re in y.re
6.276 * [backup-simplify]: Simplify x.re into x.re
6.276 * [backup-simplify]: Simplify (* 0 x.re) into 0
6.277 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
6.277 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.277 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re)
6.277 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re
6.277 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.277 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.277 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.277 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.277 * [taylor]: Taking taylor expansion of y.re in y.re
6.277 * [backup-simplify]: Simplify 0 into 0
6.277 * [backup-simplify]: Simplify 1 into 1
6.277 * [backup-simplify]: Simplify (* 1 1) into 1
6.278 * [backup-simplify]: Simplify (/ 1 1) into 1
6.278 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.278 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.278 * [taylor]: Taking taylor expansion of y.im in y.re
6.278 * [backup-simplify]: Simplify y.im into y.im
6.278 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.278 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.278 * [backup-simplify]: Simplify (+ 1 0) into 1
6.278 * [backup-simplify]: Simplify (sqrt 1) into 1
6.279 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.280 * [backup-simplify]: Simplify (+ 0 0) into 0
6.280 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.280 * [backup-simplify]: Simplify (* x.re 1) into x.re
6.280 * [taylor]: Taking taylor expansion of x.re in y.im
6.280 * [backup-simplify]: Simplify x.re into x.re
6.280 * [taylor]: Taking taylor expansion of x.re in x.im
6.280 * [backup-simplify]: Simplify x.re into x.re
6.280 * [taylor]: Taking taylor expansion of 0 in x.re
6.280 * [backup-simplify]: Simplify 0 into 0
6.280 * [backup-simplify]: Simplify 0 into 0
6.281 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0
6.281 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
6.281 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im))
6.281 * [backup-simplify]: Simplify (- (+ (* x.re (/ (/ 1 (* y.im x.im)) (/ 1 x.re))))) into (- (/ (pow x.re 2) (* y.im x.im)))
6.281 * [backup-simplify]: Simplify (+ (* x.re 0) (* (- (/ (pow x.re 2) (* y.im x.im))) 1)) into (- (/ (pow x.re 2) (* y.im x.im)))
6.281 * [taylor]: Taking taylor expansion of (- (/ (pow x.re 2) (* y.im x.im))) in y.im
6.281 * [taylor]: Taking taylor expansion of (/ (pow x.re 2) (* y.im x.im)) in y.im
6.281 * [taylor]: Taking taylor expansion of (pow x.re 2) in y.im
6.281 * [taylor]: Taking taylor expansion of x.re in y.im
6.282 * [backup-simplify]: Simplify x.re into x.re
6.282 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
6.282 * [taylor]: Taking taylor expansion of y.im in y.im
6.282 * [backup-simplify]: Simplify 0 into 0
6.282 * [backup-simplify]: Simplify 1 into 1
6.282 * [taylor]: Taking taylor expansion of x.im in y.im
6.282 * [backup-simplify]: Simplify x.im into x.im
6.282 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2)
6.282 * [backup-simplify]: Simplify (* 0 x.im) into 0
6.282 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
6.282 * [backup-simplify]: Simplify (/ (pow x.re 2) x.im) into (/ (pow x.re 2) x.im)
6.282 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0
6.283 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0
6.283 * [backup-simplify]: Simplify (- (/ 0 x.im) (+ (* (/ (pow x.re 2) x.im) (/ 0 x.im)))) into 0
6.283 * [backup-simplify]: Simplify (- 0) into 0
6.283 * [taylor]: Taking taylor expansion of 0 in x.im
6.283 * [backup-simplify]: Simplify 0 into 0
6.283 * [taylor]: Taking taylor expansion of 0 in x.re
6.283 * [backup-simplify]: Simplify 0 into 0
6.283 * [backup-simplify]: Simplify 0 into 0
6.283 * [taylor]: Taking taylor expansion of 0 in x.im
6.283 * [backup-simplify]: Simplify 0 into 0
6.283 * [taylor]: Taking taylor expansion of 0 in x.re
6.283 * [backup-simplify]: Simplify 0 into 0
6.283 * [backup-simplify]: Simplify 0 into 0
6.283 * [taylor]: Taking taylor expansion of 0 in x.re
6.284 * [backup-simplify]: Simplify 0 into 0
6.284 * [backup-simplify]: Simplify 0 into 0
6.284 * [backup-simplify]: Simplify 0 into 0
6.284 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.285 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
6.286 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
6.286 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
6.286 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
6.287 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0
6.287 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.287 * [backup-simplify]: Simplify (+ 0 0) into 0
6.287 * [backup-simplify]: Simplify (- (+ (* x.re (/ 0 (/ 1 x.re))) (* (- (/ (pow x.re 2) (* y.im x.im))) (/ (/ 1 (* y.im x.im)) (/ 1 x.re))))) into (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2)))
6.288 * [backup-simplify]: Simplify (+ (* x.re (/ 1/2 (pow y.im 2))) (+ (* (- (/ (pow x.re 2) (* y.im x.im))) 0) (* (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) 1))) into (+ (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) (* 1/2 (/ x.re (pow y.im 2))))
6.288 * [taylor]: Taking taylor expansion of (+ (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) (* 1/2 (/ x.re (pow y.im 2)))) in y.im
6.288 * [taylor]: Taking taylor expansion of (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) in y.im
6.288 * [taylor]: Taking taylor expansion of (pow x.re 3) in y.im
6.288 * [taylor]: Taking taylor expansion of x.re in y.im
6.288 * [backup-simplify]: Simplify x.re into x.re
6.288 * [taylor]: Taking taylor expansion of (* (pow y.im 2) (pow x.im 2)) in y.im
6.288 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.288 * [taylor]: Taking taylor expansion of y.im in y.im
6.288 * [backup-simplify]: Simplify 0 into 0
6.288 * [backup-simplify]: Simplify 1 into 1
6.288 * [taylor]: Taking taylor expansion of (pow x.im 2) in y.im
6.288 * [taylor]: Taking taylor expansion of x.im in y.im
6.288 * [backup-simplify]: Simplify x.im into x.im
6.288 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2)
6.288 * [backup-simplify]: Simplify (* x.re (pow x.re 2)) into (pow x.re 3)
6.288 * [backup-simplify]: Simplify (* 1 1) into 1
6.288 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2)
6.289 * [backup-simplify]: Simplify (* 1 (pow x.im 2)) into (pow x.im 2)
6.289 * [backup-simplify]: Simplify (/ (pow x.re 3) (pow x.im 2)) into (/ (pow x.re 3) (pow x.im 2))
6.289 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.re (pow y.im 2))) in y.im
6.289 * [taylor]: Taking taylor expansion of 1/2 in y.im
6.289 * [backup-simplify]: Simplify 1/2 into 1/2
6.289 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 2)) in y.im
6.289 * [taylor]: Taking taylor expansion of x.re in y.im
6.289 * [backup-simplify]: Simplify x.re into x.re
6.289 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.289 * [taylor]: Taking taylor expansion of y.im in y.im
6.289 * [backup-simplify]: Simplify 0 into 0
6.289 * [backup-simplify]: Simplify 1 into 1
6.289 * [backup-simplify]: Simplify (* 1 1) into 1
6.289 * [backup-simplify]: Simplify (/ x.re 1) into x.re
6.290 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 x.re))) into 0
6.290 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0
6.291 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 (pow x.re 2)))) into 0
6.291 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 x.im))) into 0
6.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.292 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0
6.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow x.im 2)))) into 0
6.294 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 (pow x.re 2))) into 0
6.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow x.im 2))) into 0
6.295 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ (pow x.re 3) (pow x.im 2)) (/ 0 (pow x.im 2))))) into 0
6.296 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ (pow x.re 3) (pow x.im 2)) (/ 0 (pow x.im 2))) (* 0 (/ 0 (pow x.im 2))))) into 0
6.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0
6.300 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x.re))) into 0
6.301 * [backup-simplify]: Simplify (+ 0 0) into 0
6.301 * [taylor]: Taking taylor expansion of 0 in x.im
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [taylor]: Taking taylor expansion of 0 in x.re
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify 0 into 0
6.301 * [backup-simplify]: Simplify 0 into 0
6.302 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) (+ (* (/ 1 (- y.im)) (/ 1 (- x.im))) (* (/ 1 (- x.re)) (/ 1 (- y.re))))) into (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
6.302 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in (y.re y.im x.im x.re) around 0
6.302 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in x.re
6.302 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.re
6.302 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re
6.302 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
6.302 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
6.302 * [taylor]: Taking taylor expansion of y.im in x.re
6.302 * [backup-simplify]: Simplify y.im into y.im
6.302 * [taylor]: Taking taylor expansion of x.im in x.re
6.303 * [backup-simplify]: Simplify x.im into x.im
6.303 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.303 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.303 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
6.303 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
6.303 * [taylor]: Taking taylor expansion of y.re in x.re
6.303 * [backup-simplify]: Simplify y.re into y.re
6.303 * [taylor]: Taking taylor expansion of x.re in x.re
6.303 * [backup-simplify]: Simplify 0 into 0
6.303 * [backup-simplify]: Simplify 1 into 1
6.303 * [backup-simplify]: Simplify (* y.re 0) into 0
6.303 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
6.303 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
6.304 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re)
6.304 * [backup-simplify]: Simplify (/ 1 (/ 1 y.re)) into y.re
6.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.re
6.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.re
6.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
6.304 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
6.304 * [taylor]: Taking taylor expansion of y.re in x.re
6.304 * [backup-simplify]: Simplify y.re into y.re
6.304 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.304 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.304 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
6.304 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
6.304 * [taylor]: Taking taylor expansion of y.im in x.re
6.304 * [backup-simplify]: Simplify y.im into y.im
6.304 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.304 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.305 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
6.305 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
6.305 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
6.306 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.306 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.306 * [backup-simplify]: Simplify (+ 0 0) into 0
6.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
6.307 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in x.im
6.307 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.im
6.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
6.307 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
6.307 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
6.307 * [taylor]: Taking taylor expansion of y.im in x.im
6.307 * [backup-simplify]: Simplify y.im into y.im
6.307 * [taylor]: Taking taylor expansion of x.im in x.im
6.307 * [backup-simplify]: Simplify 0 into 0
6.307 * [backup-simplify]: Simplify 1 into 1
6.307 * [backup-simplify]: Simplify (* y.im 0) into 0
6.308 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
6.308 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
6.308 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
6.308 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
6.308 * [taylor]: Taking taylor expansion of y.re in x.im
6.308 * [backup-simplify]: Simplify y.re into y.re
6.308 * [taylor]: Taking taylor expansion of x.re in x.im
6.308 * [backup-simplify]: Simplify x.re into x.re
6.308 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
6.308 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
6.308 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im)
6.308 * [backup-simplify]: Simplify (/ 1 (/ 1 y.im)) into y.im
6.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
6.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
6.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
6.308 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
6.308 * [taylor]: Taking taylor expansion of y.re in x.im
6.308 * [backup-simplify]: Simplify y.re into y.re
6.308 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.309 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
6.309 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
6.309 * [taylor]: Taking taylor expansion of y.im in x.im
6.309 * [backup-simplify]: Simplify y.im into y.im
6.309 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.309 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.309 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
6.310 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
6.310 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
6.310 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.311 * [backup-simplify]: Simplify (+ 0 0) into 0
6.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) into 0
6.311 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
6.311 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.im
6.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im
6.311 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
6.311 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
6.311 * [taylor]: Taking taylor expansion of y.im in y.im
6.312 * [backup-simplify]: Simplify 0 into 0
6.312 * [backup-simplify]: Simplify 1 into 1
6.312 * [taylor]: Taking taylor expansion of x.im in y.im
6.312 * [backup-simplify]: Simplify x.im into x.im
6.312 * [backup-simplify]: Simplify (* 0 x.im) into 0
6.312 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
6.312 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
6.312 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
6.312 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
6.312 * [taylor]: Taking taylor expansion of y.re in y.im
6.312 * [backup-simplify]: Simplify y.re into y.re
6.312 * [taylor]: Taking taylor expansion of x.re in y.im
6.312 * [backup-simplify]: Simplify x.re into x.re
6.312 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
6.313 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
6.313 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
6.313 * [backup-simplify]: Simplify (/ 1 (/ 1 x.im)) into x.im
6.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
6.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
6.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
6.313 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
6.313 * [taylor]: Taking taylor expansion of y.re in y.im
6.313 * [backup-simplify]: Simplify y.re into y.re
6.313 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.313 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
6.313 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.313 * [taylor]: Taking taylor expansion of y.im in y.im
6.313 * [backup-simplify]: Simplify 0 into 0
6.313 * [backup-simplify]: Simplify 1 into 1
6.314 * [backup-simplify]: Simplify (* 1 1) into 1
6.314 * [backup-simplify]: Simplify (/ 1 1) into 1
6.315 * [backup-simplify]: Simplify (+ 0 1) into 1
6.315 * [backup-simplify]: Simplify (sqrt 1) into 1
6.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.317 * [backup-simplify]: Simplify (+ 0 0) into 0
6.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.318 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
6.318 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re
6.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
6.318 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
6.318 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
6.318 * [taylor]: Taking taylor expansion of y.im in y.re
6.318 * [backup-simplify]: Simplify y.im into y.im
6.318 * [taylor]: Taking taylor expansion of x.im in y.re
6.318 * [backup-simplify]: Simplify x.im into x.im
6.318 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.318 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.318 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
6.318 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
6.318 * [taylor]: Taking taylor expansion of y.re in y.re
6.318 * [backup-simplify]: Simplify 0 into 0
6.318 * [backup-simplify]: Simplify 1 into 1
6.318 * [taylor]: Taking taylor expansion of x.re in y.re
6.318 * [backup-simplify]: Simplify x.re into x.re
6.318 * [backup-simplify]: Simplify (* 0 x.re) into 0
6.319 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
6.319 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.319 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re)
6.319 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re
6.319 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.319 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.319 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.319 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.319 * [taylor]: Taking taylor expansion of y.re in y.re
6.319 * [backup-simplify]: Simplify 0 into 0
6.319 * [backup-simplify]: Simplify 1 into 1
6.320 * [backup-simplify]: Simplify (* 1 1) into 1
6.320 * [backup-simplify]: Simplify (/ 1 1) into 1
6.320 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.320 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.320 * [taylor]: Taking taylor expansion of y.im in y.re
6.320 * [backup-simplify]: Simplify y.im into y.im
6.320 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.320 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.321 * [backup-simplify]: Simplify (+ 1 0) into 1
6.321 * [backup-simplify]: Simplify (sqrt 1) into 1
6.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.323 * [backup-simplify]: Simplify (+ 0 0) into 0
6.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.324 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
6.324 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re
6.324 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
6.324 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
6.324 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
6.324 * [taylor]: Taking taylor expansion of y.im in y.re
6.324 * [backup-simplify]: Simplify y.im into y.im
6.324 * [taylor]: Taking taylor expansion of x.im in y.re
6.324 * [backup-simplify]: Simplify x.im into x.im
6.324 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.324 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.324 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
6.324 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
6.325 * [taylor]: Taking taylor expansion of y.re in y.re
6.325 * [backup-simplify]: Simplify 0 into 0
6.325 * [backup-simplify]: Simplify 1 into 1
6.325 * [taylor]: Taking taylor expansion of x.re in y.re
6.325 * [backup-simplify]: Simplify x.re into x.re
6.325 * [backup-simplify]: Simplify (* 0 x.re) into 0
6.325 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
6.325 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.325 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re)
6.326 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re
6.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.326 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.326 * [taylor]: Taking taylor expansion of y.re in y.re
6.326 * [backup-simplify]: Simplify 0 into 0
6.326 * [backup-simplify]: Simplify 1 into 1
6.326 * [backup-simplify]: Simplify (* 1 1) into 1
6.327 * [backup-simplify]: Simplify (/ 1 1) into 1
6.327 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.327 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.327 * [taylor]: Taking taylor expansion of y.im in y.re
6.327 * [backup-simplify]: Simplify y.im into y.im
6.327 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.327 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.327 * [backup-simplify]: Simplify (+ 1 0) into 1
6.328 * [backup-simplify]: Simplify (sqrt 1) into 1
6.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.332 * [backup-simplify]: Simplify (+ 0 0) into 0
6.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.333 * [backup-simplify]: Simplify (* x.re 1) into x.re
6.333 * [taylor]: Taking taylor expansion of x.re in y.im
6.333 * [backup-simplify]: Simplify x.re into x.re
6.333 * [taylor]: Taking taylor expansion of x.re in x.im
6.333 * [backup-simplify]: Simplify x.re into x.re
6.333 * [taylor]: Taking taylor expansion of 0 in x.re
6.333 * [backup-simplify]: Simplify 0 into 0
6.333 * [backup-simplify]: Simplify 0 into 0
6.334 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0
6.334 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
6.334 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im))
6.334 * [backup-simplify]: Simplify (- (+ (* x.re (/ (/ 1 (* y.im x.im)) (/ 1 x.re))))) into (- (/ (pow x.re 2) (* y.im x.im)))
6.335 * [backup-simplify]: Simplify (+ (* x.re 0) (* (- (/ (pow x.re 2) (* y.im x.im))) 1)) into (- (/ (pow x.re 2) (* y.im x.im)))
6.335 * [taylor]: Taking taylor expansion of (- (/ (pow x.re 2) (* y.im x.im))) in y.im
6.335 * [taylor]: Taking taylor expansion of (/ (pow x.re 2) (* y.im x.im)) in y.im
6.335 * [taylor]: Taking taylor expansion of (pow x.re 2) in y.im
6.335 * [taylor]: Taking taylor expansion of x.re in y.im
6.335 * [backup-simplify]: Simplify x.re into x.re
6.335 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
6.335 * [taylor]: Taking taylor expansion of y.im in y.im
6.335 * [backup-simplify]: Simplify 0 into 0
6.335 * [backup-simplify]: Simplify 1 into 1
6.335 * [taylor]: Taking taylor expansion of x.im in y.im
6.335 * [backup-simplify]: Simplify x.im into x.im
6.335 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2)
6.335 * [backup-simplify]: Simplify (* 0 x.im) into 0
6.336 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
6.336 * [backup-simplify]: Simplify (/ (pow x.re 2) x.im) into (/ (pow x.re 2) x.im)
6.336 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0
6.337 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0
6.337 * [backup-simplify]: Simplify (- (/ 0 x.im) (+ (* (/ (pow x.re 2) x.im) (/ 0 x.im)))) into 0
6.338 * [backup-simplify]: Simplify (- 0) into 0
6.338 * [taylor]: Taking taylor expansion of 0 in x.im
6.338 * [backup-simplify]: Simplify 0 into 0
6.338 * [taylor]: Taking taylor expansion of 0 in x.re
6.338 * [backup-simplify]: Simplify 0 into 0
6.338 * [backup-simplify]: Simplify 0 into 0
6.338 * [taylor]: Taking taylor expansion of 0 in x.im
6.338 * [backup-simplify]: Simplify 0 into 0
6.338 * [taylor]: Taking taylor expansion of 0 in x.re
6.338 * [backup-simplify]: Simplify 0 into 0
6.338 * [backup-simplify]: Simplify 0 into 0
6.338 * [taylor]: Taking taylor expansion of 0 in x.re
6.338 * [backup-simplify]: Simplify 0 into 0
6.338 * [backup-simplify]: Simplify 0 into 0
6.338 * [backup-simplify]: Simplify 0 into 0
6.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.340 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
6.341 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2))
6.342 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
6.342 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
6.343 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0
6.343 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.344 * [backup-simplify]: Simplify (+ 0 0) into 0
6.344 * [backup-simplify]: Simplify (- (+ (* x.re (/ 0 (/ 1 x.re))) (* (- (/ (pow x.re 2) (* y.im x.im))) (/ (/ 1 (* y.im x.im)) (/ 1 x.re))))) into (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2)))
6.345 * [backup-simplify]: Simplify (+ (* x.re (/ 1/2 (pow y.im 2))) (+ (* (- (/ (pow x.re 2) (* y.im x.im))) 0) (* (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) 1))) into (+ (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) (* 1/2 (/ x.re (pow y.im 2))))
6.345 * [taylor]: Taking taylor expansion of (+ (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) (* 1/2 (/ x.re (pow y.im 2)))) in y.im
6.345 * [taylor]: Taking taylor expansion of (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) in y.im
6.345 * [taylor]: Taking taylor expansion of (pow x.re 3) in y.im
6.346 * [taylor]: Taking taylor expansion of x.re in y.im
6.346 * [backup-simplify]: Simplify x.re into x.re
6.346 * [taylor]: Taking taylor expansion of (* (pow y.im 2) (pow x.im 2)) in y.im
6.346 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.346 * [taylor]: Taking taylor expansion of y.im in y.im
6.346 * [backup-simplify]: Simplify 0 into 0
6.346 * [backup-simplify]: Simplify 1 into 1
6.346 * [taylor]: Taking taylor expansion of (pow x.im 2) in y.im
6.346 * [taylor]: Taking taylor expansion of x.im in y.im
6.346 * [backup-simplify]: Simplify x.im into x.im
6.346 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2)
6.346 * [backup-simplify]: Simplify (* x.re (pow x.re 2)) into (pow x.re 3)
6.347 * [backup-simplify]: Simplify (* 1 1) into 1
6.347 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2)
6.347 * [backup-simplify]: Simplify (* 1 (pow x.im 2)) into (pow x.im 2)
6.347 * [backup-simplify]: Simplify (/ (pow x.re 3) (pow x.im 2)) into (/ (pow x.re 3) (pow x.im 2))
6.347 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.re (pow y.im 2))) in y.im
6.347 * [taylor]: Taking taylor expansion of 1/2 in y.im
6.347 * [backup-simplify]: Simplify 1/2 into 1/2
6.347 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 2)) in y.im
6.347 * [taylor]: Taking taylor expansion of x.re in y.im
6.347 * [backup-simplify]: Simplify x.re into x.re
6.347 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.348 * [taylor]: Taking taylor expansion of y.im in y.im
6.348 * [backup-simplify]: Simplify 0 into 0
6.348 * [backup-simplify]: Simplify 1 into 1
6.348 * [backup-simplify]: Simplify (* 1 1) into 1
6.348 * [backup-simplify]: Simplify (/ x.re 1) into x.re
6.349 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 x.re))) into 0
6.349 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0
6.349 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 (pow x.re 2)))) into 0
6.350 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 x.im))) into 0
6.350 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.350 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0
6.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow x.im 2)))) into 0
6.353 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 (pow x.re 2))) into 0
6.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow x.im 2))) into 0
6.354 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ (pow x.re 3) (pow x.im 2)) (/ 0 (pow x.im 2))))) into 0
6.354 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ (pow x.re 3) (pow x.im 2)) (/ 0 (pow x.im 2))) (* 0 (/ 0 (pow x.im 2))))) into 0
6.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0
6.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.359 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x.re))) into 0
6.359 * [backup-simplify]: Simplify (+ 0 0) into 0
6.359 * [taylor]: Taking taylor expansion of 0 in x.im
6.360 * [backup-simplify]: Simplify 0 into 0
6.360 * [taylor]: Taking taylor expansion of 0 in x.re
6.360 * [backup-simplify]: Simplify 0 into 0
6.360 * [backup-simplify]: Simplify 0 into 0
6.360 * [backup-simplify]: Simplify 0 into 0
6.360 * * * * [progress]: [ 4 / 4 ] generating series at (2 1)
6.360 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))) into (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) (+ (* y.im x.im) (* y.re x.re)))
6.360 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) (+ (* y.im x.im) (* y.re x.re))) in (y.re y.im x.im x.re) around 0
6.360 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) (+ (* y.im x.im) (* y.re x.re))) in x.re
6.360 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in x.re
6.360 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in x.re
6.360 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.re
6.360 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
6.360 * [taylor]: Taking taylor expansion of y.re in x.re
6.360 * [backup-simplify]: Simplify y.re into y.re
6.360 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
6.361 * [taylor]: Taking taylor expansion of y.im in x.re
6.361 * [backup-simplify]: Simplify y.im into y.im
6.361 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.361 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.361 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
6.361 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.re 2) (pow y.im 2)))
6.362 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))
6.362 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.362 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.362 * [backup-simplify]: Simplify (+ 0 0) into 0
6.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0
6.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))) into 0
6.363 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.re
6.363 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
6.363 * [taylor]: Taking taylor expansion of y.im in x.re
6.363 * [backup-simplify]: Simplify y.im into y.im
6.363 * [taylor]: Taking taylor expansion of x.im in x.re
6.363 * [backup-simplify]: Simplify x.im into x.im
6.363 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
6.363 * [taylor]: Taking taylor expansion of y.re in x.re
6.363 * [backup-simplify]: Simplify y.re into y.re
6.363 * [taylor]: Taking taylor expansion of x.re in x.re
6.363 * [backup-simplify]: Simplify 0 into 0
6.363 * [backup-simplify]: Simplify 1 into 1
6.363 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) (+ (* y.im x.im) (* y.re x.re))) in x.im
6.363 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in x.im
6.363 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in x.im
6.363 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.im
6.364 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
6.364 * [taylor]: Taking taylor expansion of y.re in x.im
6.364 * [backup-simplify]: Simplify y.re into y.re
6.364 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
6.364 * [taylor]: Taking taylor expansion of y.im in x.im
6.364 * [backup-simplify]: Simplify y.im into y.im
6.364 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.364 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.364 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
6.364 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.re 2) (pow y.im 2)))
6.365 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2))))
6.365 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.365 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.365 * [backup-simplify]: Simplify (+ 0 0) into 0
6.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0
6.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))) into 0
6.366 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.im
6.366 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
6.366 * [taylor]: Taking taylor expansion of y.im in x.im
6.366 * [backup-simplify]: Simplify y.im into y.im
6.366 * [taylor]: Taking taylor expansion of x.im in x.im
6.366 * [backup-simplify]: Simplify 0 into 0
6.366 * [backup-simplify]: Simplify 1 into 1
6.366 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
6.366 * [taylor]: Taking taylor expansion of y.re in x.im
6.366 * [backup-simplify]: Simplify y.re into y.re
6.366 * [taylor]: Taking taylor expansion of x.re in x.im
6.366 * [backup-simplify]: Simplify x.re into x.re
6.366 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) (+ (* y.im x.im) (* y.re x.re))) in y.im
6.366 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in y.im
6.366 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in y.im
6.367 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
6.367 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
6.367 * [taylor]: Taking taylor expansion of y.re in y.im
6.367 * [backup-simplify]: Simplify y.re into y.re
6.367 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.367 * [taylor]: Taking taylor expansion of y.im in y.im
6.367 * [backup-simplify]: Simplify 0 into 0
6.367 * [backup-simplify]: Simplify 1 into 1
6.367 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.367 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
6.367 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.367 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.re 2))) into (/ 1 y.re)
6.367 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.368 * [backup-simplify]: Simplify (+ 0 0) into 0
6.368 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
6.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.re 2))))) into 0
6.368 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.im
6.368 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
6.368 * [taylor]: Taking taylor expansion of y.im in y.im
6.368 * [backup-simplify]: Simplify 0 into 0
6.368 * [backup-simplify]: Simplify 1 into 1
6.368 * [taylor]: Taking taylor expansion of x.im in y.im
6.368 * [backup-simplify]: Simplify x.im into x.im
6.368 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
6.368 * [taylor]: Taking taylor expansion of y.re in y.im
6.368 * [backup-simplify]: Simplify y.re into y.re
6.368 * [taylor]: Taking taylor expansion of x.re in y.im
6.369 * [backup-simplify]: Simplify x.re into x.re
6.369 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) (+ (* y.im x.im) (* y.re x.re))) in y.re
6.369 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in y.re
6.369 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in y.re
6.369 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
6.369 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.369 * [taylor]: Taking taylor expansion of y.re in y.re
6.369 * [backup-simplify]: Simplify 0 into 0
6.369 * [backup-simplify]: Simplify 1 into 1
6.369 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.369 * [taylor]: Taking taylor expansion of y.im in y.re
6.369 * [backup-simplify]: Simplify y.im into y.im
6.369 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.369 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
6.369 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.369 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im)
6.369 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.370 * [backup-simplify]: Simplify (+ 0 0) into 0
6.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0
6.370 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.re
6.370 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
6.370 * [taylor]: Taking taylor expansion of y.im in y.re
6.370 * [backup-simplify]: Simplify y.im into y.im
6.370 * [taylor]: Taking taylor expansion of x.im in y.re
6.371 * [backup-simplify]: Simplify x.im into x.im
6.371 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
6.371 * [taylor]: Taking taylor expansion of y.re in y.re
6.371 * [backup-simplify]: Simplify 0 into 0
6.371 * [backup-simplify]: Simplify 1 into 1
6.371 * [taylor]: Taking taylor expansion of x.re in y.re
6.371 * [backup-simplify]: Simplify x.re into x.re
6.371 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) (+ (* y.im x.im) (* y.re x.re))) in y.re
6.371 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) in y.re
6.371 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.re 2) (pow y.im 2))) in y.re
6.371 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
6.371 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.371 * [taylor]: Taking taylor expansion of y.re in y.re
6.371 * [backup-simplify]: Simplify 0 into 0
6.371 * [backup-simplify]: Simplify 1 into 1
6.371 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.371 * [taylor]: Taking taylor expansion of y.im in y.re
6.371 * [backup-simplify]: Simplify y.im into y.im
6.371 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.371 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
6.371 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.371 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im)
6.372 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.372 * [backup-simplify]: Simplify (+ 0 0) into 0
6.372 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0
6.373 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.re
6.373 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
6.373 * [taylor]: Taking taylor expansion of y.im in y.re
6.373 * [backup-simplify]: Simplify y.im into y.im
6.373 * [taylor]: Taking taylor expansion of x.im in y.re
6.373 * [backup-simplify]: Simplify x.im into x.im
6.373 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
6.373 * [taylor]: Taking taylor expansion of y.re in y.re
6.373 * [backup-simplify]: Simplify 0 into 0
6.373 * [backup-simplify]: Simplify 1 into 1
6.373 * [taylor]: Taking taylor expansion of x.re in y.re
6.373 * [backup-simplify]: Simplify x.re into x.re
6.373 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.373 * [backup-simplify]: Simplify (* 0 x.re) into 0
6.373 * [backup-simplify]: Simplify (+ (* y.im x.im) 0) into (* y.im x.im)
6.373 * [backup-simplify]: Simplify (* (/ 1 y.im) (* y.im x.im)) into x.im
6.373 * [taylor]: Taking taylor expansion of x.im in y.im
6.373 * [backup-simplify]: Simplify x.im into x.im
6.373 * [taylor]: Taking taylor expansion of x.im in x.im
6.373 * [backup-simplify]: Simplify 0 into 0
6.373 * [backup-simplify]: Simplify 1 into 1
6.373 * [taylor]: Taking taylor expansion of 0 in x.re
6.373 * [backup-simplify]: Simplify 0 into 0
6.373 * [backup-simplify]: Simplify 0 into 0
6.374 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
6.374 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
6.374 * [backup-simplify]: Simplify (+ 0 x.re) into x.re
6.374 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) x.re) (* 0 (* y.im x.im))) into (/ x.re y.im)
6.374 * [taylor]: Taking taylor expansion of (/ x.re y.im) in y.im
6.374 * [taylor]: Taking taylor expansion of x.re in y.im
6.374 * [backup-simplify]: Simplify x.re into x.re
6.374 * [taylor]: Taking taylor expansion of y.im in y.im
6.374 * [backup-simplify]: Simplify 0 into 0
6.374 * [backup-simplify]: Simplify 1 into 1
6.374 * [backup-simplify]: Simplify (/ x.re 1) into x.re
6.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0
6.375 * [taylor]: Taking taylor expansion of 0 in x.im
6.375 * [backup-simplify]: Simplify 0 into 0
6.375 * [taylor]: Taking taylor expansion of 0 in x.re
6.375 * [backup-simplify]: Simplify 0 into 0
6.376 * [backup-simplify]: Simplify 0 into 0
6.376 * [taylor]: Taking taylor expansion of 0 in x.im
6.376 * [backup-simplify]: Simplify 0 into 0
6.376 * [taylor]: Taking taylor expansion of 0 in x.re
6.376 * [backup-simplify]: Simplify 0 into 0
6.376 * [backup-simplify]: Simplify 0 into 0
6.376 * [taylor]: Taking taylor expansion of 1 in x.re
6.376 * [backup-simplify]: Simplify 1 into 1
6.376 * [backup-simplify]: Simplify 1 into 1
6.376 * [backup-simplify]: Simplify 0 into 0
6.376 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
6.377 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0
6.378 * [backup-simplify]: Simplify (+ 0 0) into 0
6.378 * [backup-simplify]: Simplify (* 1 1) into 1
6.378 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
6.379 * [backup-simplify]: Simplify (+ 1 0) into 1
6.379 * [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)))
6.380 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 4))) (pow 0 2) (+)) (* 2 (/ 1 y.im))) into (/ -1/2 (pow y.im 3))
6.381 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 x.re) (* (/ -1/2 (pow y.im 3)) (* y.im x.im)))) into (- (* 1/2 (/ x.im (pow y.im 2))))
6.381 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x.im (pow y.im 2)))) in y.im
6.381 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.im (pow y.im 2))) in y.im
6.381 * [taylor]: Taking taylor expansion of 1/2 in y.im
6.381 * [backup-simplify]: Simplify 1/2 into 1/2
6.381 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 2)) in y.im
6.381 * [taylor]: Taking taylor expansion of x.im in y.im
6.381 * [backup-simplify]: Simplify x.im into x.im
6.381 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.381 * [taylor]: Taking taylor expansion of y.im in y.im
6.381 * [backup-simplify]: Simplify 0 into 0
6.381 * [backup-simplify]: Simplify 1 into 1
6.382 * [backup-simplify]: Simplify (* 1 1) into 1
6.382 * [backup-simplify]: Simplify (/ x.im 1) into x.im
6.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.384 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)))) into 0
6.386 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x.im))) into 0
6.387 * [backup-simplify]: Simplify (- 0) into 0
6.387 * [taylor]: Taking taylor expansion of 0 in x.im
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [taylor]: Taking taylor expansion of 0 in x.re
6.387 * [backup-simplify]: Simplify 0 into 0
6.387 * [backup-simplify]: Simplify 0 into 0
6.388 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.389 * [taylor]: Taking taylor expansion of 0 in x.im
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [taylor]: Taking taylor expansion of 0 in x.re
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [taylor]: Taking taylor expansion of 0 in x.im
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [taylor]: Taking taylor expansion of 0 in x.re
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [taylor]: Taking taylor expansion of 0 in x.re
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [taylor]: Taking taylor expansion of 0 in x.re
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [backup-simplify]: Simplify 0 into 0
6.389 * [backup-simplify]: Simplify (* 1 (* 1 (* x.im (* 1 1)))) into x.im
6.390 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) (+ (* (/ 1 y.im) (/ 1 x.im)) (* (/ 1 x.re) (/ 1 y.re))))) into (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
6.390 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in (y.re y.im x.im x.re) around 0
6.390 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in x.re
6.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re
6.390 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
6.390 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
6.390 * [taylor]: Taking taylor expansion of y.im in x.re
6.390 * [backup-simplify]: Simplify y.im into y.im
6.390 * [taylor]: Taking taylor expansion of x.im in x.re
6.390 * [backup-simplify]: Simplify x.im into x.im
6.390 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.391 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.391 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
6.391 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
6.391 * [taylor]: Taking taylor expansion of y.re in x.re
6.391 * [backup-simplify]: Simplify y.re into y.re
6.391 * [taylor]: Taking taylor expansion of x.re in x.re
6.391 * [backup-simplify]: Simplify 0 into 0
6.391 * [backup-simplify]: Simplify 1 into 1
6.391 * [backup-simplify]: Simplify (* y.re 0) into 0
6.391 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
6.391 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
6.391 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in x.re
6.391 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.re
6.391 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.re
6.391 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
6.391 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
6.391 * [taylor]: Taking taylor expansion of y.re in x.re
6.391 * [backup-simplify]: Simplify y.re into y.re
6.392 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.392 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.392 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
6.392 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
6.392 * [taylor]: Taking taylor expansion of y.im in x.re
6.392 * [backup-simplify]: Simplify y.im into y.im
6.392 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.392 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.392 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
6.393 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
6.393 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
6.393 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
6.394 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.394 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.394 * [backup-simplify]: Simplify (+ 0 0) into 0
6.395 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
6.395 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
6.395 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in x.im
6.395 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
6.395 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
6.395 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
6.396 * [taylor]: Taking taylor expansion of y.im in x.im
6.396 * [backup-simplify]: Simplify y.im into y.im
6.396 * [taylor]: Taking taylor expansion of x.im in x.im
6.396 * [backup-simplify]: Simplify 0 into 0
6.396 * [backup-simplify]: Simplify 1 into 1
6.396 * [backup-simplify]: Simplify (* y.im 0) into 0
6.396 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
6.396 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
6.396 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
6.396 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
6.396 * [taylor]: Taking taylor expansion of y.re in x.im
6.396 * [backup-simplify]: Simplify y.re into y.re
6.396 * [taylor]: Taking taylor expansion of x.re in x.im
6.396 * [backup-simplify]: Simplify x.re into x.re
6.396 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
6.397 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
6.397 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in x.im
6.397 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
6.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
6.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
6.397 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
6.397 * [taylor]: Taking taylor expansion of y.re in x.im
6.397 * [backup-simplify]: Simplify y.re into y.re
6.397 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.397 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
6.397 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
6.397 * [taylor]: Taking taylor expansion of y.im in x.im
6.397 * [backup-simplify]: Simplify y.im into y.im
6.397 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.397 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.398 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
6.398 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
6.399 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
6.399 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
6.399 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.400 * [backup-simplify]: Simplify (+ 0 0) into 0
6.400 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
6.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
6.401 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.im
6.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im
6.401 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
6.401 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
6.401 * [taylor]: Taking taylor expansion of y.im in y.im
6.401 * [backup-simplify]: Simplify 0 into 0
6.401 * [backup-simplify]: Simplify 1 into 1
6.401 * [taylor]: Taking taylor expansion of x.im in y.im
6.401 * [backup-simplify]: Simplify x.im into x.im
6.401 * [backup-simplify]: Simplify (* 0 x.im) into 0
6.402 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
6.402 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
6.402 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
6.402 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
6.402 * [taylor]: Taking taylor expansion of y.re in y.im
6.402 * [backup-simplify]: Simplify y.re into y.re
6.402 * [taylor]: Taking taylor expansion of x.re in y.im
6.402 * [backup-simplify]: Simplify x.re into x.re
6.402 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
6.402 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
6.402 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
6.402 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
6.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
6.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
6.402 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
6.402 * [taylor]: Taking taylor expansion of y.re in y.im
6.402 * [backup-simplify]: Simplify y.re into y.re
6.402 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.402 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.402 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
6.402 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.402 * [taylor]: Taking taylor expansion of y.im in y.im
6.403 * [backup-simplify]: Simplify 0 into 0
6.403 * [backup-simplify]: Simplify 1 into 1
6.403 * [backup-simplify]: Simplify (* 1 1) into 1
6.403 * [backup-simplify]: Simplify (/ 1 1) into 1
6.404 * [backup-simplify]: Simplify (+ 0 1) into 1
6.404 * [backup-simplify]: Simplify (/ 1 1) into 1
6.405 * [backup-simplify]: Simplify (sqrt 1) into 1
6.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.407 * [backup-simplify]: Simplify (+ 0 0) into 0
6.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.409 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
6.409 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
6.409 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
6.409 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
6.409 * [taylor]: Taking taylor expansion of y.im in y.re
6.409 * [backup-simplify]: Simplify y.im into y.im
6.409 * [taylor]: Taking taylor expansion of x.im in y.re
6.409 * [backup-simplify]: Simplify x.im into x.im
6.409 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.409 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.409 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
6.409 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
6.409 * [taylor]: Taking taylor expansion of y.re in y.re
6.409 * [backup-simplify]: Simplify 0 into 0
6.409 * [backup-simplify]: Simplify 1 into 1
6.409 * [taylor]: Taking taylor expansion of x.re in y.re
6.409 * [backup-simplify]: Simplify x.re into x.re
6.409 * [backup-simplify]: Simplify (* 0 x.re) into 0
6.410 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
6.410 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.410 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
6.410 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.410 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.410 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.410 * [taylor]: Taking taylor expansion of y.re in y.re
6.410 * [backup-simplify]: Simplify 0 into 0
6.410 * [backup-simplify]: Simplify 1 into 1
6.410 * [backup-simplify]: Simplify (* 1 1) into 1
6.411 * [backup-simplify]: Simplify (/ 1 1) into 1
6.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.411 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.411 * [taylor]: Taking taylor expansion of y.im in y.re
6.411 * [backup-simplify]: Simplify y.im into y.im
6.411 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.411 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.412 * [backup-simplify]: Simplify (+ 1 0) into 1
6.412 * [backup-simplify]: Simplify (/ 1 1) into 1
6.412 * [backup-simplify]: Simplify (sqrt 1) into 1
6.413 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.414 * [backup-simplify]: Simplify (+ 0 0) into 0
6.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.416 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.416 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
6.416 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
6.416 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
6.416 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
6.416 * [taylor]: Taking taylor expansion of y.im in y.re
6.416 * [backup-simplify]: Simplify y.im into y.im
6.416 * [taylor]: Taking taylor expansion of x.im in y.re
6.416 * [backup-simplify]: Simplify x.im into x.im
6.416 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.416 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.416 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
6.416 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
6.416 * [taylor]: Taking taylor expansion of y.re in y.re
6.416 * [backup-simplify]: Simplify 0 into 0
6.416 * [backup-simplify]: Simplify 1 into 1
6.416 * [taylor]: Taking taylor expansion of x.re in y.re
6.416 * [backup-simplify]: Simplify x.re into x.re
6.416 * [backup-simplify]: Simplify (* 0 x.re) into 0
6.417 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
6.417 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.417 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
6.417 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.417 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.417 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.417 * [taylor]: Taking taylor expansion of y.re in y.re
6.417 * [backup-simplify]: Simplify 0 into 0
6.417 * [backup-simplify]: Simplify 1 into 1
6.417 * [backup-simplify]: Simplify (* 1 1) into 1
6.418 * [backup-simplify]: Simplify (/ 1 1) into 1
6.418 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.418 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.418 * [taylor]: Taking taylor expansion of y.im in y.re
6.418 * [backup-simplify]: Simplify y.im into y.im
6.418 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.418 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.419 * [backup-simplify]: Simplify (+ 1 0) into 1
6.419 * [backup-simplify]: Simplify (/ 1 1) into 1
6.419 * [backup-simplify]: Simplify (sqrt 1) into 1
6.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.421 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.421 * [backup-simplify]: Simplify (+ 0 0) into 0
6.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.423 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re)
6.423 * [backup-simplify]: Simplify (* (/ 1 x.re) 1) into (/ 1 x.re)
6.423 * [taylor]: Taking taylor expansion of (/ 1 x.re) in y.im
6.423 * [taylor]: Taking taylor expansion of x.re in y.im
6.423 * [backup-simplify]: Simplify x.re into x.re
6.423 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.423 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im
6.423 * [taylor]: Taking taylor expansion of x.re in x.im
6.423 * [backup-simplify]: Simplify x.re into x.re
6.423 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0
6.424 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
6.425 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im))
6.425 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) 0) (* (/ 1 (* y.im x.im)) 1)) into (/ 1 (* y.im x.im))
6.425 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
6.425 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
6.425 * [taylor]: Taking taylor expansion of y.im in y.im
6.425 * [backup-simplify]: Simplify 0 into 0
6.425 * [backup-simplify]: Simplify 1 into 1
6.425 * [taylor]: Taking taylor expansion of x.im in y.im
6.425 * [backup-simplify]: Simplify x.im into x.im
6.425 * [backup-simplify]: Simplify (* 0 x.im) into 0
6.425 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
6.425 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
6.426 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0
6.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
6.426 * [taylor]: Taking taylor expansion of 0 in x.im
6.427 * [backup-simplify]: Simplify 0 into 0
6.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
6.427 * [taylor]: Taking taylor expansion of 0 in x.im
6.427 * [backup-simplify]: Simplify 0 into 0
6.427 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re
6.427 * [taylor]: Taking taylor expansion of x.re in x.re
6.427 * [backup-simplify]: Simplify 0 into 0
6.427 * [backup-simplify]: Simplify 1 into 1
6.427 * [backup-simplify]: Simplify (/ 1 1) into 1
6.427 * [backup-simplify]: Simplify 1 into 1
6.428 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.429 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
6.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
6.431 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2))
6.431 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
6.431 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
6.432 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0
6.432 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.432 * [backup-simplify]: Simplify (+ 0 0) into 0
6.432 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) (/ -1/2 (pow y.im 2))) (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1))) into (- (* 1/2 (/ 1 (* (pow y.im 2) x.re))))
6.432 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* (pow y.im 2) x.re)))) in y.im
6.432 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y.im 2) x.re))) in y.im
6.432 * [taylor]: Taking taylor expansion of 1/2 in y.im
6.432 * [backup-simplify]: Simplify 1/2 into 1/2
6.432 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.re)) in y.im
6.433 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.re) in y.im
6.433 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.433 * [taylor]: Taking taylor expansion of y.im in y.im
6.433 * [backup-simplify]: Simplify 0 into 0
6.433 * [backup-simplify]: Simplify 1 into 1
6.433 * [taylor]: Taking taylor expansion of x.re in y.im
6.433 * [backup-simplify]: Simplify x.re into x.re
6.433 * [backup-simplify]: Simplify (* 1 1) into 1
6.433 * [backup-simplify]: Simplify (* 1 x.re) into x.re
6.433 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.re))) into 0
6.435 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.re)) into 0
6.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
6.435 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.435 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x.re)))) into 0
6.436 * [backup-simplify]: Simplify (- 0) into 0
6.436 * [taylor]: Taking taylor expansion of 0 in x.im
6.436 * [backup-simplify]: Simplify 0 into 0
6.436 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.im)))) into 0
6.436 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
6.436 * [taylor]: Taking taylor expansion of 0 in x.im
6.436 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.437 * [taylor]: Taking taylor expansion of 0 in x.im
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [taylor]: Taking taylor expansion of 0 in x.re
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [taylor]: Taking taylor expansion of 0 in x.re
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
6.437 * [taylor]: Taking taylor expansion of 0 in x.re
6.437 * [backup-simplify]: Simplify 0 into 0
6.437 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.437 * [backup-simplify]: Simplify 0 into 0
6.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.439 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.439 * [backup-simplify]: Simplify (+ 0 0) into 0
6.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
6.440 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0
6.440 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
6.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
6.442 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
6.442 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.442 * [backup-simplify]: Simplify (+ 0 0) into 0
6.443 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) 0) (+ (* (/ 1 (* y.im x.im)) (/ -1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into (- (* 1/2 (/ 1 (* (pow y.im 3) x.im))))
6.443 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* (pow y.im 3) x.im)))) in y.im
6.443 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y.im 3) x.im))) in y.im
6.443 * [taylor]: Taking taylor expansion of 1/2 in y.im
6.443 * [backup-simplify]: Simplify 1/2 into 1/2
6.443 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 3) x.im)) in y.im
6.443 * [taylor]: Taking taylor expansion of (* (pow y.im 3) x.im) in y.im
6.443 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im
6.443 * [taylor]: Taking taylor expansion of y.im in y.im
6.443 * [backup-simplify]: Simplify 0 into 0
6.443 * [backup-simplify]: Simplify 1 into 1
6.443 * [taylor]: Taking taylor expansion of x.im in y.im
6.443 * [backup-simplify]: Simplify x.im into x.im
6.443 * [backup-simplify]: Simplify (* 1 1) into 1
6.443 * [backup-simplify]: Simplify (* 1 1) into 1
6.443 * [backup-simplify]: Simplify (* 1 x.im) into x.im
6.443 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
6.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.446 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
6.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
6.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
6.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
6.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
6.448 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
6.449 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.im))))) into 0
6.449 * [backup-simplify]: Simplify (- 0) into 0
6.449 * [taylor]: Taking taylor expansion of 0 in x.im
6.449 * [backup-simplify]: Simplify 0 into 0
6.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.451 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
6.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.452 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.re))))) into 0
6.452 * [backup-simplify]: Simplify (- 0) into 0
6.452 * [taylor]: Taking taylor expansion of 0 in x.im
6.452 * [backup-simplify]: Simplify 0 into 0
6.453 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
6.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
6.453 * [taylor]: Taking taylor expansion of 0 in x.im
6.453 * [backup-simplify]: Simplify 0 into 0
6.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.453 * [taylor]: Taking taylor expansion of 0 in x.im
6.453 * [backup-simplify]: Simplify 0 into 0
6.453 * [taylor]: Taking taylor expansion of 0 in x.re
6.453 * [backup-simplify]: Simplify 0 into 0
6.453 * [taylor]: Taking taylor expansion of 0 in x.re
6.453 * [backup-simplify]: Simplify 0 into 0
6.453 * [taylor]: Taking taylor expansion of 0 in x.re
6.453 * [backup-simplify]: Simplify 0 into 0
6.453 * [taylor]: Taking taylor expansion of 0 in x.re
6.453 * [backup-simplify]: Simplify 0 into 0
6.453 * [taylor]: Taking taylor expansion of 0 in x.re
6.453 * [backup-simplify]: Simplify 0 into 0
6.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.453 * [taylor]: Taking taylor expansion of 0 in x.re
6.453 * [backup-simplify]: Simplify 0 into 0
6.454 * [backup-simplify]: Simplify 0 into 0
6.454 * [backup-simplify]: Simplify 0 into 0
6.454 * [backup-simplify]: Simplify 0 into 0
6.454 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.454 * [backup-simplify]: Simplify 0 into 0
6.455 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.456 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
6.456 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
6.456 * [backup-simplify]: Simplify (+ 0 0) into 0
6.458 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 (pow y.im 2))) (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y.im 4))
6.459 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 4)) (pow (/ -1/2 (pow y.im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 3/8 (pow y.im 4))
6.459 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
6.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
6.460 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0
6.461 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.461 * [backup-simplify]: Simplify (+ 0 0) into 0
6.461 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) (/ 3/8 (pow y.im 4))) (+ (* (/ 1 (* y.im x.im)) 0) (+ (* 0 (/ -1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))))) into (* 3/8 (/ 1 (* (pow y.im 4) x.re)))
6.461 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (* (pow y.im 4) x.re))) in y.im
6.462 * [taylor]: Taking taylor expansion of 3/8 in y.im
6.462 * [backup-simplify]: Simplify 3/8 into 3/8
6.462 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 4) x.re)) in y.im
6.462 * [taylor]: Taking taylor expansion of (* (pow y.im 4) x.re) in y.im
6.462 * [taylor]: Taking taylor expansion of (pow y.im 4) in y.im
6.462 * [taylor]: Taking taylor expansion of y.im in y.im
6.462 * [backup-simplify]: Simplify 0 into 0
6.462 * [backup-simplify]: Simplify 1 into 1
6.462 * [taylor]: Taking taylor expansion of x.re in y.im
6.462 * [backup-simplify]: Simplify x.re into x.re
6.462 * [backup-simplify]: Simplify (* 1 1) into 1
6.462 * [backup-simplify]: Simplify (* 1 1) into 1
6.462 * [backup-simplify]: Simplify (* 1 x.re) into x.re
6.462 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.463 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.464 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
6.469 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.re)) into 0
6.469 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
6.470 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
6.471 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.re))) into 0
6.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.471 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.472 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.re)))))) into 0
6.472 * [taylor]: Taking taylor expansion of 0 in x.im
6.472 * [backup-simplify]: Simplify 0 into 0
6.473 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.475 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
6.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
6.477 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.im)))))) into 0
6.478 * [backup-simplify]: Simplify (- 0) into 0
6.478 * [taylor]: Taking taylor expansion of 0 in x.im
6.478 * [backup-simplify]: Simplify 0 into 0
6.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
6.482 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.re)))))) into 0
6.483 * [backup-simplify]: Simplify (- 0) into 0
6.484 * [taylor]: Taking taylor expansion of 0 in x.im
6.484 * [backup-simplify]: Simplify 0 into 0
6.485 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0
6.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
6.486 * [taylor]: Taking taylor expansion of 0 in x.im
6.486 * [backup-simplify]: Simplify 0 into 0
6.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.486 * [taylor]: Taking taylor expansion of 0 in x.im
6.486 * [backup-simplify]: Simplify 0 into 0
6.486 * [taylor]: Taking taylor expansion of 0 in x.re
6.486 * [backup-simplify]: Simplify 0 into 0
6.486 * [taylor]: Taking taylor expansion of 0 in x.re
6.486 * [backup-simplify]: Simplify 0 into 0
6.486 * [taylor]: Taking taylor expansion of 0 in x.re
6.486 * [backup-simplify]: Simplify 0 into 0
6.487 * [taylor]: Taking taylor expansion of 0 in x.re
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [taylor]: Taking taylor expansion of 0 in x.re
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [taylor]: Taking taylor expansion of 0 in x.re
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [taylor]: Taking taylor expansion of 0 in x.re
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [taylor]: Taking taylor expansion of 0 in x.re
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [taylor]: Taking taylor expansion of 0 in x.re
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.487 * [taylor]: Taking taylor expansion of 0 in x.re
6.487 * [backup-simplify]: Simplify 0 into 0
6.487 * [backup-simplify]: Simplify 0 into 0
6.488 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 x.re)) (* 1 (* 1 1)))) into x.re
6.489 * [backup-simplify]: Simplify (/ 1 (/ (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) (+ (* (/ 1 (- y.im)) (/ 1 (- x.im))) (* (/ 1 (- x.re)) (/ 1 (- y.re)))))) into (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
6.489 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in (y.re y.im x.im x.re) around 0
6.489 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in x.re
6.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re
6.489 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
6.489 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
6.489 * [taylor]: Taking taylor expansion of y.im in x.re
6.489 * [backup-simplify]: Simplify y.im into y.im
6.489 * [taylor]: Taking taylor expansion of x.im in x.re
6.489 * [backup-simplify]: Simplify x.im into x.im
6.489 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.489 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.489 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
6.489 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
6.489 * [taylor]: Taking taylor expansion of y.re in x.re
6.489 * [backup-simplify]: Simplify y.re into y.re
6.489 * [taylor]: Taking taylor expansion of x.re in x.re
6.489 * [backup-simplify]: Simplify 0 into 0
6.489 * [backup-simplify]: Simplify 1 into 1
6.489 * [backup-simplify]: Simplify (* y.re 0) into 0
6.490 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
6.490 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
6.490 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in x.re
6.490 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.re
6.490 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.re
6.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
6.490 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
6.490 * [taylor]: Taking taylor expansion of y.re in x.re
6.490 * [backup-simplify]: Simplify y.re into y.re
6.490 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.490 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.490 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
6.490 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
6.490 * [taylor]: Taking taylor expansion of y.im in x.re
6.490 * [backup-simplify]: Simplify y.im into y.im
6.491 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.491 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.491 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
6.491 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
6.492 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
6.492 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
6.492 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.493 * [backup-simplify]: Simplify (+ 0 0) into 0
6.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
6.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
6.494 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in x.im
6.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
6.494 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
6.494 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
6.494 * [taylor]: Taking taylor expansion of y.im in x.im
6.494 * [backup-simplify]: Simplify y.im into y.im
6.494 * [taylor]: Taking taylor expansion of x.im in x.im
6.494 * [backup-simplify]: Simplify 0 into 0
6.494 * [backup-simplify]: Simplify 1 into 1
6.494 * [backup-simplify]: Simplify (* y.im 0) into 0
6.495 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
6.495 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
6.495 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
6.495 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
6.495 * [taylor]: Taking taylor expansion of y.re in x.im
6.495 * [backup-simplify]: Simplify y.re into y.re
6.495 * [taylor]: Taking taylor expansion of x.re in x.im
6.495 * [backup-simplify]: Simplify x.re into x.re
6.495 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
6.495 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
6.495 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in x.im
6.495 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
6.495 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
6.495 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
6.495 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
6.496 * [taylor]: Taking taylor expansion of y.re in x.im
6.496 * [backup-simplify]: Simplify y.re into y.re
6.496 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.496 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.496 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
6.496 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
6.496 * [taylor]: Taking taylor expansion of y.im in x.im
6.496 * [backup-simplify]: Simplify y.im into y.im
6.496 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.496 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.496 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
6.497 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
6.497 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
6.497 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
6.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
6.498 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.498 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.499 * [backup-simplify]: Simplify (+ 0 0) into 0
6.499 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
6.500 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
6.500 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.im
6.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im
6.500 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
6.500 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
6.500 * [taylor]: Taking taylor expansion of y.im in y.im
6.500 * [backup-simplify]: Simplify 0 into 0
6.500 * [backup-simplify]: Simplify 1 into 1
6.500 * [taylor]: Taking taylor expansion of x.im in y.im
6.500 * [backup-simplify]: Simplify x.im into x.im
6.500 * [backup-simplify]: Simplify (* 0 x.im) into 0
6.500 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
6.500 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
6.501 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
6.501 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
6.501 * [taylor]: Taking taylor expansion of y.re in y.im
6.501 * [backup-simplify]: Simplify y.re into y.re
6.501 * [taylor]: Taking taylor expansion of x.re in y.im
6.501 * [backup-simplify]: Simplify x.re into x.re
6.501 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
6.501 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
6.501 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
6.501 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
6.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
6.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
6.501 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
6.501 * [taylor]: Taking taylor expansion of y.re in y.im
6.501 * [backup-simplify]: Simplify y.re into y.re
6.501 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
6.501 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
6.501 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
6.501 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.501 * [taylor]: Taking taylor expansion of y.im in y.im
6.501 * [backup-simplify]: Simplify 0 into 0
6.501 * [backup-simplify]: Simplify 1 into 1
6.502 * [backup-simplify]: Simplify (* 1 1) into 1
6.502 * [backup-simplify]: Simplify (/ 1 1) into 1
6.503 * [backup-simplify]: Simplify (+ 0 1) into 1
6.503 * [backup-simplify]: Simplify (/ 1 1) into 1
6.503 * [backup-simplify]: Simplify (sqrt 1) into 1
6.504 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.505 * [backup-simplify]: Simplify (+ 0 0) into 0
6.506 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.507 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
6.507 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
6.507 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
6.507 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
6.507 * [taylor]: Taking taylor expansion of y.im in y.re
6.507 * [backup-simplify]: Simplify y.im into y.im
6.507 * [taylor]: Taking taylor expansion of x.im in y.re
6.507 * [backup-simplify]: Simplify x.im into x.im
6.507 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.508 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.508 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
6.508 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
6.508 * [taylor]: Taking taylor expansion of y.re in y.re
6.508 * [backup-simplify]: Simplify 0 into 0
6.508 * [backup-simplify]: Simplify 1 into 1
6.508 * [taylor]: Taking taylor expansion of x.re in y.re
6.508 * [backup-simplify]: Simplify x.re into x.re
6.508 * [backup-simplify]: Simplify (* 0 x.re) into 0
6.508 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
6.508 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.508 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
6.508 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.508 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.508 * [taylor]: Taking taylor expansion of y.re in y.re
6.509 * [backup-simplify]: Simplify 0 into 0
6.509 * [backup-simplify]: Simplify 1 into 1
6.509 * [backup-simplify]: Simplify (* 1 1) into 1
6.509 * [backup-simplify]: Simplify (/ 1 1) into 1
6.509 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.509 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.509 * [taylor]: Taking taylor expansion of y.im in y.re
6.509 * [backup-simplify]: Simplify y.im into y.im
6.509 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.510 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.510 * [backup-simplify]: Simplify (+ 1 0) into 1
6.511 * [backup-simplify]: Simplify (/ 1 1) into 1
6.511 * [backup-simplify]: Simplify (sqrt 1) into 1
6.512 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.512 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.513 * [backup-simplify]: Simplify (+ 0 0) into 0
6.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.514 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.514 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.re
6.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
6.514 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
6.514 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
6.514 * [taylor]: Taking taylor expansion of y.im in y.re
6.514 * [backup-simplify]: Simplify y.im into y.im
6.514 * [taylor]: Taking taylor expansion of x.im in y.re
6.514 * [backup-simplify]: Simplify x.im into x.im
6.515 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
6.515 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
6.515 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
6.515 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
6.515 * [taylor]: Taking taylor expansion of y.re in y.re
6.515 * [backup-simplify]: Simplify 0 into 0
6.515 * [backup-simplify]: Simplify 1 into 1
6.515 * [taylor]: Taking taylor expansion of x.re in y.re
6.515 * [backup-simplify]: Simplify x.re into x.re
6.515 * [backup-simplify]: Simplify (* 0 x.re) into 0
6.515 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
6.515 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.515 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.re
6.516 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
6.516 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
6.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
6.516 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
6.516 * [taylor]: Taking taylor expansion of y.re in y.re
6.516 * [backup-simplify]: Simplify 0 into 0
6.516 * [backup-simplify]: Simplify 1 into 1
6.516 * [backup-simplify]: Simplify (* 1 1) into 1
6.516 * [backup-simplify]: Simplify (/ 1 1) into 1
6.516 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
6.516 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
6.516 * [taylor]: Taking taylor expansion of y.im in y.re
6.517 * [backup-simplify]: Simplify y.im into y.im
6.517 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
6.517 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
6.517 * [backup-simplify]: Simplify (+ 1 0) into 1
6.518 * [backup-simplify]: Simplify (/ 1 1) into 1
6.518 * [backup-simplify]: Simplify (sqrt 1) into 1
6.519 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.519 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.520 * [backup-simplify]: Simplify (+ 0 0) into 0
6.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0
6.521 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re)
6.521 * [backup-simplify]: Simplify (* (/ 1 x.re) 1) into (/ 1 x.re)
6.521 * [taylor]: Taking taylor expansion of (/ 1 x.re) in y.im
6.521 * [taylor]: Taking taylor expansion of x.re in y.im
6.521 * [backup-simplify]: Simplify x.re into x.re
6.522 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.522 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.im
6.522 * [taylor]: Taking taylor expansion of x.re in x.im
6.522 * [backup-simplify]: Simplify x.re into x.re
6.522 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.522 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0
6.522 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
6.522 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im))
6.522 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) 0) (* (/ 1 (* y.im x.im)) 1)) into (/ 1 (* y.im x.im))
6.522 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
6.522 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
6.522 * [taylor]: Taking taylor expansion of y.im in y.im
6.522 * [backup-simplify]: Simplify 0 into 0
6.523 * [backup-simplify]: Simplify 1 into 1
6.523 * [taylor]: Taking taylor expansion of x.im in y.im
6.523 * [backup-simplify]: Simplify x.im into x.im
6.523 * [backup-simplify]: Simplify (* 0 x.im) into 0
6.523 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
6.523 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
6.523 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0
6.523 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
6.524 * [taylor]: Taking taylor expansion of 0 in x.im
6.524 * [backup-simplify]: Simplify 0 into 0
6.524 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
6.524 * [taylor]: Taking taylor expansion of 0 in x.im
6.524 * [backup-simplify]: Simplify 0 into 0
6.524 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re
6.524 * [taylor]: Taking taylor expansion of x.re in x.re
6.524 * [backup-simplify]: Simplify 0 into 0
6.524 * [backup-simplify]: Simplify 1 into 1
6.524 * [backup-simplify]: Simplify (/ 1 1) into 1
6.524 * [backup-simplify]: Simplify 1 into 1
6.525 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.525 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.525 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow y.im 2))) into (/ 1 (pow y.im 2))
6.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2)))
6.527 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2))
6.527 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0
6.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0
6.528 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0
6.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.528 * [backup-simplify]: Simplify (+ 0 0) into 0
6.529 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) (/ -1/2 (pow y.im 2))) (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1))) into (- (* 1/2 (/ 1 (* (pow y.im 2) x.re))))
6.529 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* (pow y.im 2) x.re)))) in y.im
6.529 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y.im 2) x.re))) in y.im
6.529 * [taylor]: Taking taylor expansion of 1/2 in y.im
6.529 * [backup-simplify]: Simplify 1/2 into 1/2
6.529 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.re)) in y.im
6.529 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.re) in y.im
6.529 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
6.529 * [taylor]: Taking taylor expansion of y.im in y.im
6.529 * [backup-simplify]: Simplify 0 into 0
6.529 * [backup-simplify]: Simplify 1 into 1
6.529 * [taylor]: Taking taylor expansion of x.re in y.im
6.529 * [backup-simplify]: Simplify x.re into x.re
6.529 * [backup-simplify]: Simplify (* 1 1) into 1
6.529 * [backup-simplify]: Simplify (* 1 x.re) into x.re
6.529 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.530 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.re))) into 0
6.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.re)) into 0
6.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
6.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.532 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x.re)))) into 0
6.532 * [backup-simplify]: Simplify (- 0) into 0
6.532 * [taylor]: Taking taylor expansion of 0 in x.im
6.532 * [backup-simplify]: Simplify 0 into 0
6.533 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.im)))) into 0
6.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
6.533 * [taylor]: Taking taylor expansion of 0 in x.im
6.533 * [backup-simplify]: Simplify 0 into 0
6.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.533 * [taylor]: Taking taylor expansion of 0 in x.im
6.533 * [backup-simplify]: Simplify 0 into 0
6.533 * [taylor]: Taking taylor expansion of 0 in x.re
6.533 * [backup-simplify]: Simplify 0 into 0
6.533 * [taylor]: Taking taylor expansion of 0 in x.re
6.533 * [backup-simplify]: Simplify 0 into 0
6.533 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
6.533 * [taylor]: Taking taylor expansion of 0 in x.re
6.533 * [backup-simplify]: Simplify 0 into 0
6.534 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
6.534 * [backup-simplify]: Simplify 0 into 0
6.534 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.535 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.535 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
6.535 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
6.535 * [backup-simplify]: Simplify (+ 0 0) into 0
6.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0
6.537 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0
6.537 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0
6.537 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
6.538 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
6.538 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.538 * [backup-simplify]: Simplify (+ 0 0) into 0
6.539 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) 0) (+ (* (/ 1 (* y.im x.im)) (/ -1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1)))) into (- (* 1/2 (/ 1 (* (pow y.im 3) x.im))))
6.539 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (* (pow y.im 3) x.im)))) in y.im
6.539 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y.im 3) x.im))) in y.im
6.539 * [taylor]: Taking taylor expansion of 1/2 in y.im
6.539 * [backup-simplify]: Simplify 1/2 into 1/2
6.539 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 3) x.im)) in y.im
6.539 * [taylor]: Taking taylor expansion of (* (pow y.im 3) x.im) in y.im
6.539 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im
6.539 * [taylor]: Taking taylor expansion of y.im in y.im
6.539 * [backup-simplify]: Simplify 0 into 0
6.539 * [backup-simplify]: Simplify 1 into 1
6.539 * [taylor]: Taking taylor expansion of x.im in y.im
6.539 * [backup-simplify]: Simplify x.im into x.im
6.540 * [backup-simplify]: Simplify (* 1 1) into 1
6.540 * [backup-simplify]: Simplify (* 1 1) into 1
6.540 * [backup-simplify]: Simplify (* 1 x.im) into x.im
6.540 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
6.540 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.541 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.542 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
6.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0
6.544 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0
6.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0
6.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
6.545 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
6.545 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.im))))) into 0
6.546 * [backup-simplify]: Simplify (- 0) into 0
6.546 * [taylor]: Taking taylor expansion of 0 in x.im
6.546 * [backup-simplify]: Simplify 0 into 0
6.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
6.547 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.548 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.re))))) into 0
6.549 * [backup-simplify]: Simplify (- 0) into 0
6.549 * [taylor]: Taking taylor expansion of 0 in x.im
6.549 * [backup-simplify]: Simplify 0 into 0
6.550 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
6.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
6.550 * [taylor]: Taking taylor expansion of 0 in x.im
6.550 * [backup-simplify]: Simplify 0 into 0
6.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.550 * [taylor]: Taking taylor expansion of 0 in x.im
6.550 * [backup-simplify]: Simplify 0 into 0
6.550 * [taylor]: Taking taylor expansion of 0 in x.re
6.550 * [backup-simplify]: Simplify 0 into 0
6.550 * [taylor]: Taking taylor expansion of 0 in x.re
6.550 * [backup-simplify]: Simplify 0 into 0
6.550 * [taylor]: Taking taylor expansion of 0 in x.re
6.550 * [backup-simplify]: Simplify 0 into 0
6.550 * [taylor]: Taking taylor expansion of 0 in x.re
6.550 * [backup-simplify]: Simplify 0 into 0
6.550 * [taylor]: Taking taylor expansion of 0 in x.re
6.550 * [backup-simplify]: Simplify 0 into 0
6.550 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.550 * [taylor]: Taking taylor expansion of 0 in x.re
6.550 * [backup-simplify]: Simplify 0 into 0
6.550 * [backup-simplify]: Simplify 0 into 0
6.550 * [backup-simplify]: Simplify 0 into 0
6.550 * [backup-simplify]: Simplify 0 into 0
6.551 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.551 * [backup-simplify]: Simplify 0 into 0
6.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.552 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
6.552 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
6.553 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
6.553 * [backup-simplify]: Simplify (+ 0 0) into 0
6.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* (- (/ 1 (pow y.im 2))) (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (/ 1 (pow y.im 4))
6.556 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 4)) (pow (/ -1/2 (pow y.im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ 3/8 (pow y.im 4))
6.557 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0
6.557 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0
6.559 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0
6.560 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.560 * [backup-simplify]: Simplify (+ 0 0) into 0
6.561 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) (/ 3/8 (pow y.im 4))) (+ (* (/ 1 (* y.im x.im)) 0) (+ (* 0 (/ -1/2 (pow y.im 2))) (+ (* 0 0) (* 0 1))))) into (* 3/8 (/ 1 (* (pow y.im 4) x.re)))
6.561 * [taylor]: Taking taylor expansion of (* 3/8 (/ 1 (* (pow y.im 4) x.re))) in y.im
6.561 * [taylor]: Taking taylor expansion of 3/8 in y.im
6.561 * [backup-simplify]: Simplify 3/8 into 3/8
6.561 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 4) x.re)) in y.im
6.561 * [taylor]: Taking taylor expansion of (* (pow y.im 4) x.re) in y.im
6.561 * [taylor]: Taking taylor expansion of (pow y.im 4) in y.im
6.561 * [taylor]: Taking taylor expansion of y.im in y.im
6.561 * [backup-simplify]: Simplify 0 into 0
6.561 * [backup-simplify]: Simplify 1 into 1
6.561 * [taylor]: Taking taylor expansion of x.re in y.im
6.561 * [backup-simplify]: Simplify x.re into x.re
6.562 * [backup-simplify]: Simplify (* 1 1) into 1
6.562 * [backup-simplify]: Simplify (* 1 1) into 1
6.562 * [backup-simplify]: Simplify (* 1 x.re) into x.re
6.562 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
6.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
6.564 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.565 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
6.566 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
6.569 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.570 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
6.572 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.re)) into 0
6.572 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0
6.573 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
6.574 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.re))) into 0
6.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.574 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.576 * [backup-simplify]: Simplify (+ (* 3/8 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.re)))))) into 0
6.576 * [taylor]: Taking taylor expansion of 0 in x.im
6.576 * [backup-simplify]: Simplify 0 into 0
6.577 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0
6.580 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
6.581 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.im)))))) into 0
6.582 * [backup-simplify]: Simplify (- 0) into 0
6.582 * [taylor]: Taking taylor expansion of 0 in x.im
6.582 * [backup-simplify]: Simplify 0 into 0
6.582 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
6.583 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0
6.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.585 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (/ 1 x.re)))))) into 0
6.585 * [backup-simplify]: Simplify (- 0) into 0
6.585 * [taylor]: Taking taylor expansion of 0 in x.im
6.585 * [backup-simplify]: Simplify 0 into 0
6.588 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0
6.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0
6.588 * [taylor]: Taking taylor expansion of 0 in x.im
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.588 * [taylor]: Taking taylor expansion of 0 in x.im
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [taylor]: Taking taylor expansion of 0 in x.re
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [taylor]: Taking taylor expansion of 0 in x.re
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [taylor]: Taking taylor expansion of 0 in x.re
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [taylor]: Taking taylor expansion of 0 in x.re
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [taylor]: Taking taylor expansion of 0 in x.re
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [taylor]: Taking taylor expansion of 0 in x.re
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [taylor]: Taking taylor expansion of 0 in x.re
6.588 * [backup-simplify]: Simplify 0 into 0
6.588 * [taylor]: Taking taylor expansion of 0 in x.re
6.588 * [backup-simplify]: Simplify 0 into 0
6.589 * [taylor]: Taking taylor expansion of 0 in x.re
6.589 * [backup-simplify]: Simplify 0 into 0
6.589 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0
6.589 * [taylor]: Taking taylor expansion of 0 in x.re
6.589 * [backup-simplify]: Simplify 0 into 0
6.589 * [backup-simplify]: Simplify 0 into 0
6.589 * [backup-simplify]: Simplify (* 1 (* (/ 1 (/ 1 (- x.re))) (* 1 (* 1 1)))) into (* -1 x.re)
6.589 * * * [progress]: simplifying candidates
6.593 * [simplify]: Simplifying:
  (log (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (exp (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt 1)
  (sqrt (+ (* y.re y.re) (* y.im y.im)))
  (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))
  (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im)))))
  (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))
  (sqrt (- (* y.re y.re) (* y.im y.im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (log (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (exp (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt 1)
  (sqrt (+ (* y.re y.re) (* y.im y.im)))
  (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))
  (sqrt (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.im y.im)))))
  (sqrt (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))
  (sqrt (- (* y.re y.re) (* y.im y.im)))
  (/ 1 2)
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (- (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (log (+ (* y.im x.im) (* x.re y.re))))
  (log (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (exp (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (/ (* (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (* (+ (* y.im x.im) (* x.re y.re)) (+ (* y.im x.im) (* x.re y.re))) (+ (* y.im x.im) (* x.re y.re))))
  (* (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))) (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
  (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (* (* (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (- (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (- (+ (* y.im x.im) (* x.re y.re)))
  (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) 1)
  (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* x.re y.re)))
  (/ (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
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  (/ 1 (* (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))) (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))))
  (/ 1 (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))))
  (/ 1 (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) 1))
  (/ 1 (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* x.re y.re))))
  (/ 1 (/ (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))))
  (/ 1 (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) 1))
  (/ 1 (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* x.re y.re))))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* x.re y.re))))
  (/ 1 (/ (sqrt 1) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))))
  (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt 1) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* x.re y.re))))
  (/ 1 (/ 1 (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))))
  (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ 1 1))
  (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (/ 1 1)
  (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (/ 1 (+ (* y.im x.im) (* x.re y.re))))
  (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (pow (* y.im x.im) 3) (pow (* x.re y.re) 3))))
  (/ 1 (+ (* (* y.im x.im) (* y.im x.im)) (- (* (* x.re y.re) (* x.re y.re)) (* (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* (* y.im x.im) (* y.im x.im)) (* (* x.re y.re) (* x.re y.re)))))
  (/ 1 (- (* y.im x.im) (* x.re y.re)))
  (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (/ (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))) 1)
  (/ 1 (* (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))) (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))))
  (/ 1 (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))))
  (/ 1 (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) 1))
  (/ 1 (/ (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))))
  (/ 1 (/ (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) 1))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1))
  (/ 1 (/ (sqrt 1) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))))
  (/ 1 (/ (sqrt 1) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt 1) 1))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1))
  (/ 1 (/ 1 (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))))
  (/ 1 (/ 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (/ 1 1))
  (/ 1 1)
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (pow (* y.im x.im) 3) (pow (* x.re y.re) 3))))
  (/ 1 (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* (* y.im x.im) (* y.im x.im)) (* (* x.re y.re) (* x.re y.re)))))
  (/ (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))) (cbrt 1))
  (/ (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))) (sqrt 1))
  (/ (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))) 1)
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  y.im
  y.re
  (* -1 y.re)
  y.im
  y.re
  (* -1 y.re)
  0
  0
  0
  x.im
  x.re
  (* -1 x.re)
6.597 * * [simplify]: iteration 0: 242 enodes
6.708 * * [simplify]: iteration 1: 642 enodes
7.085 * * [simplify]: iteration 2: 3632 enodes
8.008 * * [simplify]: iteration complete: 5001 enodes
8.008 * * [simplify]: Extracting #0: cost 100 inf + 0
8.012 * * [simplify]: Extracting #1: cost 1318 inf + 8
8.021 * * [simplify]: Extracting #2: cost 1681 inf + 96
8.031 * * [simplify]: Extracting #3: cost 1736 inf + 2100
8.042 * * [simplify]: Extracting #4: cost 1226 inf + 8907
8.054 * * [simplify]: Extracting #5: cost 337 inf + 23607
8.064 * * [simplify]: Extracting #6: cost 20 inf + 29399
8.072 * * [simplify]: Extracting #7: cost 0 inf + 29725
8.079 * [simplify]: Simplified to:
  (log (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (exp (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3)
  (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  1
  (sqrt (+ (* y.re y.re) (* y.im y.im)))
  (sqrt (+ (pow y.re 6) (pow y.im 6)))
  (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (pow y.re (+ 3 1))))
  (sqrt (- (pow y.re (+ 3 1)) (* (pow y.im 3) y.im)))
  (sqrt (* (- y.re y.im) (+ y.re y.im)))
  1/2
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (log (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (exp (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3)
  (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  1
  (sqrt (+ (* y.re y.re) (* y.im y.im)))
  (sqrt (+ (pow y.re 6) (pow y.im 6)))
  (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (pow y.re (+ 3 1))))
  (sqrt (- (pow y.re (+ 3 1)) (* (pow y.im 3) y.im)))
  (sqrt (* (- y.re y.im) (+ y.re y.im)))
  1/2
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (log (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (log (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (exp (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (pow (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))) 3)
  (* (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))) (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
  (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (pow (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))) 3)
  (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))
  (- (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (- (- (* y.im x.im)) (* x.re y.re))
  (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))))
  (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* x.re y.re)))
  (/ (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (fabs (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* x.re y.re)))
  (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* x.re y.re)))
  (/ (/ 1 (cbrt (+ (* y.im x.im) (* x.re y.re)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ 1 (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  1
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))
  (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* y.im x.im) (* x.re y.re)))
  (/ (/ 1 (cbrt (+ (* y.im x.im) (* x.re y.re)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (/ 1 (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  1
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))
  (/ 1 (+ (* y.im x.im) (* x.re y.re)))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.im x.im) (* x.re y.re))))
  (sqrt (+ (* y.re y.re) (* y.im y.im)))
  (/ (+ (* y.im x.im) (* x.re y.re)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (pow (* y.im x.im) 3) (pow (* x.re y.re) 3)))
  (/ (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))) (- (* y.im x.im) (* x.re y.re)))
  (* (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* (* y.im y.im) (- (* y.im y.im) (* y.re y.re))) (pow y.re (+ 3 1)))))
  (* (+ (* y.im x.im) (* x.re y.re)) (sqrt (* (- y.re y.im) (+ y.re y.im))))
  -1
  (log (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (log (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (log (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (log (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (log (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (log (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (log (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (exp (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (pow (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))) 3))
  (/ 1 (pow (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))) 3))
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  (cbrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
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  (sqrt (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))))
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  (/ 1 (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
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  (/ (* 1 (cbrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
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  (/ (* 1 (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (cbrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
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  (sqrt (+ (* y.im x.im) (* x.re y.re)))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  1
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  (/ (* 1 (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (cbrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
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  1
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  1
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  (/ (/ 1 (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))) (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
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  (/ 1 (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
  (/ (/ (* 1 (cbrt (+ (* y.im x.im) (* x.re y.re)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
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  (/ (* 1 (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (cbrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
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  (/ (* 1 (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (cbrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
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  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  1
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  (/ (* 1 (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (cbrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
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  (sqrt (+ (* y.im x.im) (* x.re y.re)))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  1
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  1
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  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
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  (/ (/ 1 (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))) (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
  (/ (/ (* 1 (cbrt (+ (* y.im x.im) (* x.re y.re)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
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  (/ (* 1 (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
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  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))))
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  (/ (* 1 (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (cbrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (sqrt (+ (* y.im x.im) (* x.re y.re)))
  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  1
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (* 1 (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (cbrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))))
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  (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  1
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  1
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  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
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  (/ (* 1 (* (+ (* y.im x.im) (* x.re y.re)) (- (* y.im x.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (- (* y.im x.im) (* x.re y.re)))
  (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))
  (/ (/ 1 (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re))))) (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
  (/ 1 (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))))
  (/ (/ (* 1 (cbrt (+ (* y.im x.im) (* x.re y.re)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re)))))
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  (/ (* 1 (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
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  1
  (/ (* 1 (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (* 1 (sqrt (+ (* y.im x.im) (* x.re y.re)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))
  (* (cbrt (+ (* y.im x.im) (* x.re y.re))) (cbrt (+ (* y.im x.im) (* x.re y.re))))
  (sqrt (+ (* y.im x.im) (* x.re y.re)))
  1
  1
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
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  (/ (* 1 (* (+ (* y.im x.im) (* x.re y.re)) (- (* y.im x.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))
  (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* y.im x.im) (* x.re y.re)))
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  y.im
  y.re
  (- y.re)
  y.im
  y.re
  (- y.re)
  0
  0
  0
  x.im
  x.re
  (- x.re)
8.082 * * * [progress]: adding candidates to table
8.838 * * [progress]: iteration 4 / 4
8.838 * * * [progress]: picking best candidate
8.914 * * * * [pick]: Picked  #<alt (λ (x.re x.im y.re y.im) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))>
8.914 * * * [progress]: localizing error
8.945 * * * [progress]: generating rewritten candidates
8.945 * * * * [progress]: [ 1 / 2 ] rewriting at (2)
8.984 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1)
8.995 * * * [progress]: generating series expansions
8.995 * * * * [progress]: [ 1 / 2 ] generating series at (2)
8.996 * [backup-simplify]: Simplify (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))) into (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2)))
8.996 * [approximate]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in (x.im y.im x.re y.re) around 0
8.996 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in y.re
8.996 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.re
8.996 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
8.996 * [taylor]: Taking taylor expansion of y.im in y.re
8.996 * [backup-simplify]: Simplify y.im into y.im
8.996 * [taylor]: Taking taylor expansion of x.im in y.re
8.996 * [backup-simplify]: Simplify x.im into x.im
8.996 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
8.996 * [taylor]: Taking taylor expansion of y.re in y.re
8.996 * [backup-simplify]: Simplify 0 into 0
8.996 * [backup-simplify]: Simplify 1 into 1
8.996 * [taylor]: Taking taylor expansion of x.re in y.re
8.996 * [backup-simplify]: Simplify x.re into x.re
8.996 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.re
8.996 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
8.996 * [taylor]: Taking taylor expansion of y.re in y.re
8.996 * [backup-simplify]: Simplify 0 into 0
8.996 * [backup-simplify]: Simplify 1 into 1
8.996 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
8.996 * [taylor]: Taking taylor expansion of y.im in y.re
8.996 * [backup-simplify]: Simplify y.im into y.im
8.996 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
8.996 * [backup-simplify]: Simplify (* 0 x.re) into 0
8.996 * [backup-simplify]: Simplify (+ (* y.im x.im) 0) into (* y.im x.im)
8.996 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
8.996 * [backup-simplify]: Simplify (+ 0 (pow y.im 2)) into (pow y.im 2)
8.996 * [backup-simplify]: Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im)
8.996 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in x.re
8.996 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.re
8.996 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
8.996 * [taylor]: Taking taylor expansion of y.im in x.re
8.996 * [backup-simplify]: Simplify y.im into y.im
8.996 * [taylor]: Taking taylor expansion of x.im in x.re
8.996 * [backup-simplify]: Simplify x.im into x.im
8.997 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
8.997 * [taylor]: Taking taylor expansion of y.re in x.re
8.997 * [backup-simplify]: Simplify y.re into y.re
8.997 * [taylor]: Taking taylor expansion of x.re in x.re
8.997 * [backup-simplify]: Simplify 0 into 0
8.997 * [backup-simplify]: Simplify 1 into 1
8.997 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.re
8.997 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
8.997 * [taylor]: Taking taylor expansion of y.re in x.re
8.997 * [backup-simplify]: Simplify y.re into y.re
8.997 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
8.997 * [taylor]: Taking taylor expansion of y.im in x.re
8.997 * [backup-simplify]: Simplify y.im into y.im
8.997 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
8.997 * [backup-simplify]: Simplify (* y.re 0) into 0
8.997 * [backup-simplify]: Simplify (+ (* y.im x.im) 0) into (* y.im x.im)
8.997 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
8.997 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
8.997 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
8.997 * [backup-simplify]: Simplify (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2)))
8.997 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in y.im
8.997 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.im
8.997 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
8.997 * [taylor]: Taking taylor expansion of y.im in y.im
8.997 * [backup-simplify]: Simplify 0 into 0
8.997 * [backup-simplify]: Simplify 1 into 1
8.997 * [taylor]: Taking taylor expansion of x.im in y.im
8.997 * [backup-simplify]: Simplify x.im into x.im
8.997 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
8.997 * [taylor]: Taking taylor expansion of y.re in y.im
8.997 * [backup-simplify]: Simplify y.re into y.re
8.997 * [taylor]: Taking taylor expansion of x.re in y.im
8.997 * [backup-simplify]: Simplify x.re into x.re
8.997 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
8.997 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
8.998 * [taylor]: Taking taylor expansion of y.re in y.im
8.998 * [backup-simplify]: Simplify y.re into y.re
8.998 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
8.998 * [taylor]: Taking taylor expansion of y.im in y.im
8.998 * [backup-simplify]: Simplify 0 into 0
8.998 * [backup-simplify]: Simplify 1 into 1
8.998 * [backup-simplify]: Simplify (* 0 x.im) into 0
8.998 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
8.998 * [backup-simplify]: Simplify (+ 0 (* y.re x.re)) into (* y.re x.re)
8.998 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
8.998 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
8.998 * [backup-simplify]: Simplify (/ (* y.re x.re) (pow y.re 2)) into (/ x.re y.re)
8.998 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in x.im
8.998 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.im
8.998 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
8.998 * [taylor]: Taking taylor expansion of y.im in x.im
8.998 * [backup-simplify]: Simplify y.im into y.im
8.998 * [taylor]: Taking taylor expansion of x.im in x.im
8.998 * [backup-simplify]: Simplify 0 into 0
8.998 * [backup-simplify]: Simplify 1 into 1
8.998 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
8.998 * [taylor]: Taking taylor expansion of y.re in x.im
8.998 * [backup-simplify]: Simplify y.re into y.re
8.998 * [taylor]: Taking taylor expansion of x.re in x.im
8.998 * [backup-simplify]: Simplify x.re into x.re
8.998 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.im
8.998 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
8.998 * [taylor]: Taking taylor expansion of y.re in x.im
8.998 * [backup-simplify]: Simplify y.re into y.re
8.998 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
8.998 * [taylor]: Taking taylor expansion of y.im in x.im
8.998 * [backup-simplify]: Simplify y.im into y.im
8.998 * [backup-simplify]: Simplify (* y.im 0) into 0
8.998 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
8.998 * [backup-simplify]: Simplify (+ 0 (* y.re x.re)) into (* y.re x.re)
8.998 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
8.999 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
8.999 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
8.999 * [backup-simplify]: Simplify (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2)))
8.999 * [taylor]: Taking taylor expansion of (/ (+ (* y.im x.im) (* y.re x.re)) (+ (pow y.re 2) (pow y.im 2))) in x.im
8.999 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.im
8.999 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
8.999 * [taylor]: Taking taylor expansion of y.im in x.im
8.999 * [backup-simplify]: Simplify y.im into y.im
8.999 * [taylor]: Taking taylor expansion of x.im in x.im
8.999 * [backup-simplify]: Simplify 0 into 0
8.999 * [backup-simplify]: Simplify 1 into 1
8.999 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
8.999 * [taylor]: Taking taylor expansion of y.re in x.im
8.999 * [backup-simplify]: Simplify y.re into y.re
8.999 * [taylor]: Taking taylor expansion of x.re in x.im
8.999 * [backup-simplify]: Simplify x.re into x.re
8.999 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in x.im
8.999 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
8.999 * [taylor]: Taking taylor expansion of y.re in x.im
8.999 * [backup-simplify]: Simplify y.re into y.re
8.999 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
8.999 * [taylor]: Taking taylor expansion of y.im in x.im
8.999 * [backup-simplify]: Simplify y.im into y.im
8.999 * [backup-simplify]: Simplify (* y.im 0) into 0
8.999 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
8.999 * [backup-simplify]: Simplify (+ 0 (* y.re x.re)) into (* y.re x.re)
8.999 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
8.999 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
9.000 * [backup-simplify]: Simplify (+ (pow y.re 2) (pow y.im 2)) into (+ (pow y.re 2) (pow y.im 2))
9.000 * [backup-simplify]: Simplify (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2)))
9.000 * [taylor]: Taking taylor expansion of (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2))) in y.im
9.000 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
9.000 * [taylor]: Taking taylor expansion of y.re in y.im
9.000 * [backup-simplify]: Simplify y.re into y.re
9.000 * [taylor]: Taking taylor expansion of x.re in y.im
9.000 * [backup-simplify]: Simplify x.re into x.re
9.000 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
9.000 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
9.000 * [taylor]: Taking taylor expansion of y.re in y.im
9.000 * [backup-simplify]: Simplify y.re into y.re
9.000 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
9.000 * [taylor]: Taking taylor expansion of y.im in y.im
9.000 * [backup-simplify]: Simplify 0 into 0
9.000 * [backup-simplify]: Simplify 1 into 1
9.000 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.000 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.000 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
9.000 * [backup-simplify]: Simplify (/ (* y.re x.re) (pow y.re 2)) into (/ x.re y.re)
9.000 * [taylor]: Taking taylor expansion of (/ x.re y.re) in x.re
9.000 * [taylor]: Taking taylor expansion of x.re in x.re
9.000 * [backup-simplify]: Simplify 0 into 0
9.000 * [backup-simplify]: Simplify 1 into 1
9.000 * [taylor]: Taking taylor expansion of y.re in x.re
9.000 * [backup-simplify]: Simplify y.re into y.re
9.000 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
9.001 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
9.001 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
9.001 * [backup-simplify]: Simplify (+ y.im 0) into y.im
9.001 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
9.002 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
9.002 * [backup-simplify]: Simplify (+ 0 0) into 0
9.002 * [backup-simplify]: Simplify (- (/ y.im (+ (pow y.re 2) (pow y.im 2))) (+ (* (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into (/ y.im (+ (pow y.re 2) (pow y.im 2)))
9.002 * [taylor]: Taking taylor expansion of (/ y.im (+ (pow y.re 2) (pow y.im 2))) in y.im
9.002 * [taylor]: Taking taylor expansion of y.im in y.im
9.002 * [backup-simplify]: Simplify 0 into 0
9.002 * [backup-simplify]: Simplify 1 into 1
9.002 * [taylor]: Taking taylor expansion of (+ (pow y.re 2) (pow y.im 2)) in y.im
9.002 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
9.002 * [taylor]: Taking taylor expansion of y.re in y.im
9.002 * [backup-simplify]: Simplify y.re into y.re
9.003 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
9.003 * [taylor]: Taking taylor expansion of y.im in y.im
9.003 * [backup-simplify]: Simplify 0 into 0
9.003 * [backup-simplify]: Simplify 1 into 1
9.003 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.003 * [backup-simplify]: Simplify (+ (pow y.re 2) 0) into (pow y.re 2)
9.003 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.003 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
9.003 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
9.003 * [backup-simplify]: Simplify (+ 0 0) into 0
9.003 * [backup-simplify]: Simplify (- (/ 0 (pow y.re 2)) (+ (* (/ x.re y.re) (/ 0 (pow y.re 2))))) into 0
9.003 * [taylor]: Taking taylor expansion of 0 in x.re
9.004 * [backup-simplify]: Simplify 0 into 0
9.004 * [taylor]: Taking taylor expansion of 0 in y.re
9.004 * [backup-simplify]: Simplify 0 into 0
9.004 * [backup-simplify]: Simplify 0 into 0
9.004 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
9.004 * [taylor]: Taking taylor expansion of y.re in y.re
9.004 * [backup-simplify]: Simplify 0 into 0
9.004 * [backup-simplify]: Simplify 1 into 1
9.004 * [backup-simplify]: Simplify (/ 1 1) into 1
9.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.005 * [backup-simplify]: Simplify 0 into 0
9.005 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
9.005 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
9.006 * [backup-simplify]: Simplify (+ 0 0) into 0
9.006 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
9.006 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
9.007 * [backup-simplify]: Simplify (+ 0 0) into 0
9.007 * [backup-simplify]: Simplify (- (/ 0 (+ (pow y.re 2) (pow y.im 2))) (+ (* (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))) (* (/ y.im (+ (pow y.re 2) (pow y.im 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0
9.007 * [taylor]: Taking taylor expansion of 0 in y.im
9.007 * [backup-simplify]: Simplify 0 into 0
9.007 * [taylor]: Taking taylor expansion of 0 in x.re
9.007 * [backup-simplify]: Simplify 0 into 0
9.007 * [taylor]: Taking taylor expansion of 0 in y.re
9.007 * [backup-simplify]: Simplify 0 into 0
9.007 * [backup-simplify]: Simplify 0 into 0
9.007 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
9.007 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
9.007 * [taylor]: Taking taylor expansion of y.re in x.re
9.008 * [backup-simplify]: Simplify y.re into y.re
9.008 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.008 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.008 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
9.008 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
9.008 * [taylor]: Taking taylor expansion of y.re in y.re
9.008 * [backup-simplify]: Simplify 0 into 0
9.008 * [backup-simplify]: Simplify 1 into 1
9.008 * [backup-simplify]: Simplify (* 1 1) into 1
9.008 * [backup-simplify]: Simplify (/ 1 1) into 1
9.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.010 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.010 * [backup-simplify]: Simplify 0 into 0
9.010 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
9.011 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
9.011 * [backup-simplify]: Simplify (* 1 1) into 1
9.011 * [backup-simplify]: Simplify (+ 0 1) into 1
9.012 * [backup-simplify]: Simplify (- (/ 0 (pow y.re 2)) (+ (* (/ x.re y.re) (/ 1 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into (- (/ x.re (pow y.re 3)))
9.012 * [taylor]: Taking taylor expansion of (- (/ x.re (pow y.re 3))) in x.re
9.012 * [taylor]: Taking taylor expansion of (/ x.re (pow y.re 3)) in x.re
9.012 * [taylor]: Taking taylor expansion of x.re in x.re
9.012 * [backup-simplify]: Simplify 0 into 0
9.012 * [backup-simplify]: Simplify 1 into 1
9.012 * [taylor]: Taking taylor expansion of (pow y.re 3) in x.re
9.012 * [taylor]: Taking taylor expansion of y.re in x.re
9.012 * [backup-simplify]: Simplify y.re into y.re
9.012 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.012 * [backup-simplify]: Simplify (* y.re (pow y.re 2)) into (pow y.re 3)
9.012 * [backup-simplify]: Simplify (/ 1 (pow y.re 3)) into (/ 1 (pow y.re 3))
9.012 * [taylor]: Taking taylor expansion of 0 in y.re
9.012 * [backup-simplify]: Simplify 0 into 0
9.012 * [backup-simplify]: Simplify 0 into 0
9.012 * [backup-simplify]: Simplify (- (/ 0 y.re) (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
9.012 * [taylor]: Taking taylor expansion of 0 in y.re
9.012 * [backup-simplify]: Simplify 0 into 0
9.012 * [backup-simplify]: Simplify 0 into 0
9.012 * [backup-simplify]: Simplify 0 into 0
9.012 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x.im) (/ 1 y.im)) (* (/ 1 x.re) (/ 1 y.re))) (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
9.013 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in (x.im y.im x.re y.re) around 0
9.013 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
9.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
9.013 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
9.013 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
9.013 * [taylor]: Taking taylor expansion of y.im in y.re
9.013 * [backup-simplify]: Simplify y.im into y.im
9.013 * [taylor]: Taking taylor expansion of x.im in y.re
9.013 * [backup-simplify]: Simplify x.im into x.im
9.013 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
9.013 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
9.013 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
9.013 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
9.013 * [taylor]: Taking taylor expansion of y.re in y.re
9.013 * [backup-simplify]: Simplify 0 into 0
9.013 * [backup-simplify]: Simplify 1 into 1
9.013 * [taylor]: Taking taylor expansion of x.re in y.re
9.013 * [backup-simplify]: Simplify x.re into x.re
9.013 * [backup-simplify]: Simplify (* 0 x.re) into 0
9.013 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
9.013 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
9.013 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
9.013 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
9.013 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
9.013 * [taylor]: Taking taylor expansion of y.re in y.re
9.013 * [backup-simplify]: Simplify 0 into 0
9.013 * [backup-simplify]: Simplify 1 into 1
9.014 * [backup-simplify]: Simplify (* 1 1) into 1
9.014 * [backup-simplify]: Simplify (/ 1 1) into 1
9.014 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
9.014 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
9.014 * [taylor]: Taking taylor expansion of y.im in y.re
9.014 * [backup-simplify]: Simplify y.im into y.im
9.014 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
9.014 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
9.014 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re)
9.014 * [backup-simplify]: Simplify (+ 1 0) into 1
9.014 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re)
9.014 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.re
9.014 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re
9.014 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
9.014 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
9.015 * [taylor]: Taking taylor expansion of y.im in x.re
9.015 * [backup-simplify]: Simplify y.im into y.im
9.015 * [taylor]: Taking taylor expansion of x.im in x.re
9.015 * [backup-simplify]: Simplify x.im into x.im
9.015 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
9.015 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
9.015 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
9.015 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
9.015 * [taylor]: Taking taylor expansion of y.re in x.re
9.015 * [backup-simplify]: Simplify y.re into y.re
9.015 * [taylor]: Taking taylor expansion of x.re in x.re
9.015 * [backup-simplify]: Simplify 0 into 0
9.015 * [backup-simplify]: Simplify 1 into 1
9.015 * [backup-simplify]: Simplify (* y.re 0) into 0
9.015 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
9.015 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
9.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.re
9.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
9.015 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
9.015 * [taylor]: Taking taylor expansion of y.re in x.re
9.015 * [backup-simplify]: Simplify y.re into y.re
9.015 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.015 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
9.015 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
9.015 * [taylor]: Taking taylor expansion of y.im in x.re
9.015 * [backup-simplify]: Simplify y.im into y.im
9.015 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
9.016 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
9.016 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re)
9.016 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
9.016 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
9.016 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
9.016 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im
9.016 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
9.016 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
9.016 * [taylor]: Taking taylor expansion of y.im in y.im
9.016 * [backup-simplify]: Simplify 0 into 0
9.016 * [backup-simplify]: Simplify 1 into 1
9.016 * [taylor]: Taking taylor expansion of x.im in y.im
9.016 * [backup-simplify]: Simplify x.im into x.im
9.016 * [backup-simplify]: Simplify (* 0 x.im) into 0
9.016 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
9.016 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
9.016 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
9.017 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
9.017 * [taylor]: Taking taylor expansion of y.re in y.im
9.017 * [backup-simplify]: Simplify y.re into y.re
9.017 * [taylor]: Taking taylor expansion of x.re in y.im
9.017 * [backup-simplify]: Simplify x.re into x.re
9.017 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.017 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
9.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
9.017 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
9.017 * [taylor]: Taking taylor expansion of y.re in y.im
9.017 * [backup-simplify]: Simplify y.re into y.re
9.017 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.017 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.017 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
9.017 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
9.017 * [taylor]: Taking taylor expansion of y.im in y.im
9.017 * [backup-simplify]: Simplify 0 into 0
9.017 * [backup-simplify]: Simplify 1 into 1
9.017 * [backup-simplify]: Simplify (* 1 1) into 1
9.017 * [backup-simplify]: Simplify (/ 1 1) into 1
9.018 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
9.018 * [backup-simplify]: Simplify (+ 0 1) into 1
9.018 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
9.018 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
9.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
9.018 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
9.018 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
9.018 * [taylor]: Taking taylor expansion of y.im in x.im
9.018 * [backup-simplify]: Simplify y.im into y.im
9.018 * [taylor]: Taking taylor expansion of x.im in x.im
9.018 * [backup-simplify]: Simplify 0 into 0
9.018 * [backup-simplify]: Simplify 1 into 1
9.018 * [backup-simplify]: Simplify (* y.im 0) into 0
9.018 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
9.018 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
9.018 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
9.018 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
9.018 * [taylor]: Taking taylor expansion of y.re in x.im
9.018 * [backup-simplify]: Simplify y.re into y.re
9.018 * [taylor]: Taking taylor expansion of x.re in x.im
9.018 * [backup-simplify]: Simplify x.re into x.re
9.018 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.019 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
9.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
9.019 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
9.019 * [taylor]: Taking taylor expansion of y.re in x.im
9.019 * [backup-simplify]: Simplify y.re into y.re
9.019 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.019 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.019 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
9.019 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
9.019 * [taylor]: Taking taylor expansion of y.im in x.im
9.019 * [backup-simplify]: Simplify y.im into y.im
9.019 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
9.019 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
9.019 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im)
9.019 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
9.019 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
9.019 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
9.019 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
9.019 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
9.019 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
9.019 * [taylor]: Taking taylor expansion of y.im in x.im
9.020 * [backup-simplify]: Simplify y.im into y.im
9.020 * [taylor]: Taking taylor expansion of x.im in x.im
9.020 * [backup-simplify]: Simplify 0 into 0
9.020 * [backup-simplify]: Simplify 1 into 1
9.020 * [backup-simplify]: Simplify (* y.im 0) into 0
9.020 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
9.020 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
9.020 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
9.020 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
9.020 * [taylor]: Taking taylor expansion of y.re in x.im
9.020 * [backup-simplify]: Simplify y.re into y.re
9.020 * [taylor]: Taking taylor expansion of x.re in x.im
9.020 * [backup-simplify]: Simplify x.re into x.re
9.020 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.020 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
9.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
9.020 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
9.020 * [taylor]: Taking taylor expansion of y.re in x.im
9.020 * [backup-simplify]: Simplify y.re into y.re
9.020 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.020 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
9.020 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
9.021 * [taylor]: Taking taylor expansion of y.im in x.im
9.021 * [backup-simplify]: Simplify y.im into y.im
9.021 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
9.021 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
9.021 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im)
9.021 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
9.021 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
9.021 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
9.021 * [taylor]: Taking taylor expansion of (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
9.021 * [taylor]: Taking taylor expansion of y.im in y.im
9.021 * [backup-simplify]: Simplify 0 into 0
9.021 * [backup-simplify]: Simplify 1 into 1
9.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
9.021 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
9.021 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
9.021 * [taylor]: Taking taylor expansion of y.re in y.im
9.021 * [backup-simplify]: Simplify y.re into y.re
9.022 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.022 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.022 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
9.022 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
9.022 * [taylor]: Taking taylor expansion of y.im in y.im
9.022 * [backup-simplify]: Simplify 0 into 0
9.022 * [backup-simplify]: Simplify 1 into 1
9.022 * [backup-simplify]: Simplify (* 1 1) into 1
9.022 * [backup-simplify]: Simplify (/ 1 1) into 1
9.023 * [backup-simplify]: Simplify (+ 0 1) into 1
9.023 * [backup-simplify]: Simplify (* 0 1) into 0
9.024 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.025 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.025 * [backup-simplify]: Simplify (+ 0 0) into 0
9.026 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1)) into 1
9.026 * [backup-simplify]: Simplify (/ 1 1) into 1
9.026 * [taylor]: Taking taylor expansion of 1 in x.re
9.026 * [backup-simplify]: Simplify 1 into 1
9.027 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
9.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
9.027 * [backup-simplify]: Simplify (+ 0 (/ 1 (* y.re x.re))) into (/ 1 (* y.re x.re))
9.027 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
9.027 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
9.028 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
9.028 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
9.028 * [backup-simplify]: Simplify (+ 0 0) into 0
9.029 * [backup-simplify]: Simplify (- (/ (/ 1 (* y.re x.re)) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
9.029 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.im
9.029 * [taylor]: Taking taylor expansion of (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
9.029 * [taylor]: Taking taylor expansion of y.re in y.im
9.029 * [backup-simplify]: Simplify y.re into y.re
9.029 * [taylor]: Taking taylor expansion of (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
9.029 * [taylor]: Taking taylor expansion of x.re in y.im
9.029 * [backup-simplify]: Simplify x.re into x.re
9.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
9.029 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
9.029 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
9.029 * [taylor]: Taking taylor expansion of y.re in y.im
9.029 * [backup-simplify]: Simplify y.re into y.re
9.029 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.029 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.030 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
9.030 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
9.030 * [taylor]: Taking taylor expansion of y.im in y.im
9.030 * [backup-simplify]: Simplify 0 into 0
9.030 * [backup-simplify]: Simplify 1 into 1
9.030 * [backup-simplify]: Simplify (* 1 1) into 1
9.030 * [backup-simplify]: Simplify (/ 1 1) into 1
9.030 * [backup-simplify]: Simplify (+ 0 1) into 1
9.030 * [backup-simplify]: Simplify (* x.re 1) into x.re
9.030 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.030 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.032 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) 0) into (/ 1 (pow y.re 2))
9.032 * [backup-simplify]: Simplify (+ (* 0 (/ 1 (pow y.re 2))) (+ (* 1 0) (* 0 1))) into 0
9.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.033 * [taylor]: Taking taylor expansion of 0 in x.re
9.033 * [backup-simplify]: Simplify 0 into 0
9.033 * [taylor]: Taking taylor expansion of 1 in y.re
9.033 * [backup-simplify]: Simplify 1 into 1
9.033 * [backup-simplify]: Simplify 0 into 0
9.033 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
9.033 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
9.033 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
9.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
9.034 * [backup-simplify]: Simplify (+ 0 0) into 0
9.034 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
9.034 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
9.035 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
9.035 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
9.035 * [backup-simplify]: Simplify (+ 0 0) into 0
9.036 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
9.036 * [taylor]: Taking taylor expansion of 0 in y.im
9.036 * [backup-simplify]: Simplify 0 into 0
9.036 * [taylor]: Taking taylor expansion of 0 in x.re
9.036 * [backup-simplify]: Simplify 0 into 0
9.036 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
9.036 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
9.036 * [taylor]: Taking taylor expansion of y.re in x.re
9.036 * [backup-simplify]: Simplify y.re into y.re
9.036 * [taylor]: Taking taylor expansion of x.re in x.re
9.036 * [backup-simplify]: Simplify 0 into 0
9.036 * [backup-simplify]: Simplify 1 into 1
9.036 * [backup-simplify]: Simplify (* y.re 0) into 0
9.037 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
9.037 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
9.037 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
9.037 * [taylor]: Taking taylor expansion of y.re in y.re
9.037 * [backup-simplify]: Simplify 0 into 0
9.037 * [backup-simplify]: Simplify 1 into 1
9.037 * [backup-simplify]: Simplify (/ 1 1) into 1
9.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.038 * [backup-simplify]: Simplify 0 into 0
9.038 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
9.038 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
9.039 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.040 * [backup-simplify]: Simplify (+ 0 0) into 0
9.040 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 (pow y.re 2))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y.re 2))
9.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.re 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.re 2)))
9.041 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.re 2))) in x.re
9.041 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
9.041 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
9.041 * [taylor]: Taking taylor expansion of y.re in x.re
9.041 * [backup-simplify]: Simplify y.re into y.re
9.041 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.041 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.041 * [taylor]: Taking taylor expansion of 0 in y.re
9.041 * [backup-simplify]: Simplify 0 into 0
9.041 * [backup-simplify]: Simplify 0 into 0
9.041 * [taylor]: Taking taylor expansion of 0 in y.re
9.041 * [backup-simplify]: Simplify 0 into 0
9.041 * [backup-simplify]: Simplify 0 into 0
9.041 * [backup-simplify]: Simplify 0 into 0
9.042 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
9.042 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
9.042 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
9.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0
9.043 * [backup-simplify]: Simplify (+ 0 0) into 0
9.043 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0
9.045 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
9.045 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
9.046 * [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
9.046 * [backup-simplify]: Simplify (+ 0 0) into 0
9.047 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
9.047 * [taylor]: Taking taylor expansion of 0 in y.im
9.047 * [backup-simplify]: Simplify 0 into 0
9.047 * [taylor]: Taking taylor expansion of 0 in x.re
9.047 * [backup-simplify]: Simplify 0 into 0
9.047 * [taylor]: Taking taylor expansion of 0 in x.re
9.047 * [backup-simplify]: Simplify 0 into 0
9.047 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.048 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.048 * [backup-simplify]: Simplify (+ 0 0) into 0
9.048 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 1)) into 0
9.048 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
9.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
9.049 * [taylor]: Taking taylor expansion of 0 in x.re
9.049 * [backup-simplify]: Simplify 0 into 0
9.049 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
9.049 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
9.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.051 * [backup-simplify]: Simplify (+ 0 0) into 0
9.052 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (pow y.re 2))) (+ (* 0 0) (* 0 1))))) into 0
9.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.re 2)) 1)) (* (- (/ 1 (pow y.re 2))) (/ 0 1)))) into 0
9.052 * [taylor]: Taking taylor expansion of 0 in x.re
9.053 * [backup-simplify]: Simplify 0 into 0
9.053 * [taylor]: Taking taylor expansion of 0 in y.re
9.053 * [backup-simplify]: Simplify 0 into 0
9.053 * [backup-simplify]: Simplify 0 into 0
9.053 * [backup-simplify]: Simplify 0 into 0
9.053 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x.im)) (/ 1 (- y.im))) (* (/ 1 (- x.re)) (/ 1 (- y.re)))) (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))
9.053 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in (x.im y.im x.re y.re) around 0
9.053 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.re
9.053 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
9.053 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
9.053 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
9.053 * [taylor]: Taking taylor expansion of y.im in y.re
9.053 * [backup-simplify]: Simplify y.im into y.im
9.053 * [taylor]: Taking taylor expansion of x.im in y.re
9.053 * [backup-simplify]: Simplify x.im into x.im
9.053 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
9.053 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
9.053 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
9.053 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
9.053 * [taylor]: Taking taylor expansion of y.re in y.re
9.053 * [backup-simplify]: Simplify 0 into 0
9.053 * [backup-simplify]: Simplify 1 into 1
9.053 * [taylor]: Taking taylor expansion of x.re in y.re
9.053 * [backup-simplify]: Simplify x.re into x.re
9.053 * [backup-simplify]: Simplify (* 0 x.re) into 0
9.054 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
9.054 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
9.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.re
9.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re
9.054 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re
9.054 * [taylor]: Taking taylor expansion of y.re in y.re
9.054 * [backup-simplify]: Simplify 0 into 0
9.054 * [backup-simplify]: Simplify 1 into 1
9.054 * [backup-simplify]: Simplify (* 1 1) into 1
9.054 * [backup-simplify]: Simplify (/ 1 1) into 1
9.054 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re
9.054 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re
9.054 * [taylor]: Taking taylor expansion of y.im in y.re
9.054 * [backup-simplify]: Simplify y.im into y.im
9.054 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
9.055 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
9.055 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re)
9.055 * [backup-simplify]: Simplify (+ 1 0) into 1
9.055 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re)
9.055 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.re
9.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re
9.055 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
9.055 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
9.055 * [taylor]: Taking taylor expansion of y.im in x.re
9.055 * [backup-simplify]: Simplify y.im into y.im
9.055 * [taylor]: Taking taylor expansion of x.im in x.re
9.055 * [backup-simplify]: Simplify x.im into x.im
9.055 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
9.055 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
9.055 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
9.055 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
9.055 * [taylor]: Taking taylor expansion of y.re in x.re
9.055 * [backup-simplify]: Simplify y.re into y.re
9.055 * [taylor]: Taking taylor expansion of x.re in x.re
9.055 * [backup-simplify]: Simplify 0 into 0
9.055 * [backup-simplify]: Simplify 1 into 1
9.055 * [backup-simplify]: Simplify (* y.re 0) into 0
9.056 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
9.056 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
9.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.re
9.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
9.056 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
9.056 * [taylor]: Taking taylor expansion of y.re in x.re
9.056 * [backup-simplify]: Simplify y.re into y.re
9.056 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.056 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re
9.056 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re
9.056 * [taylor]: Taking taylor expansion of y.im in x.re
9.056 * [backup-simplify]: Simplify y.im into y.im
9.056 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
9.056 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
9.056 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re)
9.057 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
9.057 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
9.057 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
9.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im
9.057 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
9.057 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
9.057 * [taylor]: Taking taylor expansion of y.im in y.im
9.057 * [backup-simplify]: Simplify 0 into 0
9.057 * [backup-simplify]: Simplify 1 into 1
9.057 * [taylor]: Taking taylor expansion of x.im in y.im
9.057 * [backup-simplify]: Simplify x.im into x.im
9.057 * [backup-simplify]: Simplify (* 0 x.im) into 0
9.058 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
9.058 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
9.058 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
9.058 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
9.058 * [taylor]: Taking taylor expansion of y.re in y.im
9.058 * [backup-simplify]: Simplify y.re into y.re
9.058 * [taylor]: Taking taylor expansion of x.re in y.im
9.058 * [backup-simplify]: Simplify x.re into x.re
9.058 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.058 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
9.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
9.058 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
9.058 * [taylor]: Taking taylor expansion of y.re in y.im
9.058 * [backup-simplify]: Simplify y.re into y.re
9.058 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.058 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.058 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
9.058 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
9.058 * [taylor]: Taking taylor expansion of y.im in y.im
9.058 * [backup-simplify]: Simplify 0 into 0
9.058 * [backup-simplify]: Simplify 1 into 1
9.059 * [backup-simplify]: Simplify (* 1 1) into 1
9.059 * [backup-simplify]: Simplify (/ 1 1) into 1
9.059 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im)
9.060 * [backup-simplify]: Simplify (+ 0 1) into 1
9.060 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im)
9.060 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
9.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
9.060 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
9.060 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
9.060 * [taylor]: Taking taylor expansion of y.im in x.im
9.060 * [backup-simplify]: Simplify y.im into y.im
9.060 * [taylor]: Taking taylor expansion of x.im in x.im
9.060 * [backup-simplify]: Simplify 0 into 0
9.060 * [backup-simplify]: Simplify 1 into 1
9.060 * [backup-simplify]: Simplify (* y.im 0) into 0
9.060 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
9.060 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
9.060 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
9.061 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
9.061 * [taylor]: Taking taylor expansion of y.re in x.im
9.061 * [backup-simplify]: Simplify y.re into y.re
9.061 * [taylor]: Taking taylor expansion of x.re in x.im
9.061 * [backup-simplify]: Simplify x.re into x.re
9.061 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.061 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
9.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
9.061 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
9.061 * [taylor]: Taking taylor expansion of y.re in x.im
9.061 * [backup-simplify]: Simplify y.re into y.re
9.061 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.061 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
9.061 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
9.061 * [taylor]: Taking taylor expansion of y.im in x.im
9.061 * [backup-simplify]: Simplify y.im into y.im
9.061 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
9.061 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
9.061 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im)
9.062 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
9.062 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
9.062 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in x.im
9.062 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
9.062 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
9.062 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
9.062 * [taylor]: Taking taylor expansion of y.im in x.im
9.062 * [backup-simplify]: Simplify y.im into y.im
9.062 * [taylor]: Taking taylor expansion of x.im in x.im
9.062 * [backup-simplify]: Simplify 0 into 0
9.062 * [backup-simplify]: Simplify 1 into 1
9.062 * [backup-simplify]: Simplify (* y.im 0) into 0
9.063 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
9.063 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
9.063 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
9.063 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
9.063 * [taylor]: Taking taylor expansion of y.re in x.im
9.063 * [backup-simplify]: Simplify y.re into y.re
9.063 * [taylor]: Taking taylor expansion of x.re in x.im
9.063 * [backup-simplify]: Simplify x.re into x.re
9.063 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.063 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.063 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in x.im
9.063 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im
9.063 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im
9.063 * [taylor]: Taking taylor expansion of y.re in x.im
9.063 * [backup-simplify]: Simplify y.re into y.re
9.063 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.063 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.064 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im
9.064 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im
9.064 * [taylor]: Taking taylor expansion of y.im in x.im
9.064 * [backup-simplify]: Simplify y.im into y.im
9.064 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2)
9.064 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2))
9.064 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im)
9.064 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) into (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))
9.064 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))
9.065 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
9.065 * [taylor]: Taking taylor expansion of (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
9.065 * [taylor]: Taking taylor expansion of y.im in y.im
9.065 * [backup-simplify]: Simplify 0 into 0
9.065 * [backup-simplify]: Simplify 1 into 1
9.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
9.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
9.065 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
9.065 * [taylor]: Taking taylor expansion of y.re in y.im
9.065 * [backup-simplify]: Simplify y.re into y.re
9.065 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.065 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
9.065 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
9.065 * [taylor]: Taking taylor expansion of y.im in y.im
9.065 * [backup-simplify]: Simplify 0 into 0
9.065 * [backup-simplify]: Simplify 1 into 1
9.066 * [backup-simplify]: Simplify (* 1 1) into 1
9.066 * [backup-simplify]: Simplify (/ 1 1) into 1
9.066 * [backup-simplify]: Simplify (+ 0 1) into 1
9.067 * [backup-simplify]: Simplify (* 0 1) into 0
9.067 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.069 * [backup-simplify]: Simplify (+ 0 0) into 0
9.069 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 1)) into 1
9.070 * [backup-simplify]: Simplify (/ 1 1) into 1
9.070 * [taylor]: Taking taylor expansion of 1 in x.re
9.070 * [backup-simplify]: Simplify 1 into 1
9.070 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
9.070 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
9.071 * [backup-simplify]: Simplify (+ 0 (/ 1 (* y.re x.re))) into (/ 1 (* y.re x.re))
9.071 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
9.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
9.071 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0
9.071 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0
9.072 * [backup-simplify]: Simplify (+ 0 0) into 0
9.073 * [backup-simplify]: Simplify (- (/ (/ 1 (* y.re x.re)) (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))
9.073 * [taylor]: Taking taylor expansion of (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) in y.im
9.073 * [taylor]: Taking taylor expansion of (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) in y.im
9.073 * [taylor]: Taking taylor expansion of y.re in y.im
9.073 * [backup-simplify]: Simplify y.re into y.re
9.073 * [taylor]: Taking taylor expansion of (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) in y.im
9.073 * [taylor]: Taking taylor expansion of x.re in y.im
9.073 * [backup-simplify]: Simplify x.re into x.re
9.073 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))) in y.im
9.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im
9.073 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im
9.073 * [taylor]: Taking taylor expansion of y.re in y.im
9.073 * [backup-simplify]: Simplify y.re into y.re
9.073 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.073 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.073 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im
9.073 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im
9.073 * [taylor]: Taking taylor expansion of y.im in y.im
9.073 * [backup-simplify]: Simplify 0 into 0
9.073 * [backup-simplify]: Simplify 1 into 1
9.074 * [backup-simplify]: Simplify (* 1 1) into 1
9.074 * [backup-simplify]: Simplify (/ 1 1) into 1
9.075 * [backup-simplify]: Simplify (+ 0 1) into 1
9.075 * [backup-simplify]: Simplify (* x.re 1) into x.re
9.075 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.075 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.076 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0
9.077 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.077 * [backup-simplify]: Simplify (+ (/ 1 (pow y.re 2)) 0) into (/ 1 (pow y.re 2))
9.078 * [backup-simplify]: Simplify (+ (* 0 (/ 1 (pow y.re 2))) (+ (* 1 0) (* 0 1))) into 0
9.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.078 * [taylor]: Taking taylor expansion of 0 in x.re
9.078 * [backup-simplify]: Simplify 0 into 0
9.079 * [taylor]: Taking taylor expansion of 1 in y.re
9.079 * [backup-simplify]: Simplify 1 into 1
9.079 * [backup-simplify]: Simplify 0 into 0
9.079 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
9.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
9.080 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
9.080 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
9.080 * [backup-simplify]: Simplify (+ 0 0) into 0
9.081 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
9.081 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
9.082 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0
9.082 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0
9.082 * [backup-simplify]: Simplify (+ 0 0) into 0
9.084 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
9.084 * [taylor]: Taking taylor expansion of 0 in y.im
9.084 * [backup-simplify]: Simplify 0 into 0
9.084 * [taylor]: Taking taylor expansion of 0 in x.re
9.084 * [backup-simplify]: Simplify 0 into 0
9.084 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
9.084 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
9.084 * [taylor]: Taking taylor expansion of y.re in x.re
9.084 * [backup-simplify]: Simplify y.re into y.re
9.084 * [taylor]: Taking taylor expansion of x.re in x.re
9.084 * [backup-simplify]: Simplify 0 into 0
9.084 * [backup-simplify]: Simplify 1 into 1
9.084 * [backup-simplify]: Simplify (* y.re 0) into 0
9.085 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
9.085 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
9.085 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
9.085 * [taylor]: Taking taylor expansion of y.re in y.re
9.085 * [backup-simplify]: Simplify 0 into 0
9.085 * [backup-simplify]: Simplify 1 into 1
9.085 * [backup-simplify]: Simplify (/ 1 1) into 1
9.086 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.087 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.087 * [backup-simplify]: Simplify 0 into 0
9.087 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0
9.087 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0
9.088 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0
9.089 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.090 * [backup-simplify]: Simplify (+ 0 0) into 0
9.091 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 (/ 1 (pow y.re 2))) (+ (* 0 0) (* 0 1)))) into (/ 1 (pow y.re 2))
9.092 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.re 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.re 2)))
9.092 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.re 2))) in x.re
9.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re
9.092 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re
9.092 * [taylor]: Taking taylor expansion of y.re in x.re
9.092 * [backup-simplify]: Simplify y.re into y.re
9.092 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2)
9.092 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2))
9.092 * [taylor]: Taking taylor expansion of 0 in y.re
9.092 * [backup-simplify]: Simplify 0 into 0
9.092 * [backup-simplify]: Simplify 0 into 0
9.092 * [taylor]: Taking taylor expansion of 0 in y.re
9.092 * [backup-simplify]: Simplify 0 into 0
9.092 * [backup-simplify]: Simplify 0 into 0
9.092 * [backup-simplify]: Simplify 0 into 0
9.096 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
9.096 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
9.097 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
9.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0
9.097 * [backup-simplify]: Simplify (+ 0 0) into 0
9.098 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0
9.099 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
9.100 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0
9.101 * [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
9.101 * [backup-simplify]: Simplify (+ 0 0) into 0
9.103 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))) (+ (* (/ 1 (* y.im (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* (/ 1 (* y.re (* x.re (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2)))))) (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.re 2)) (/ 1 (pow y.im 2))))))) into 0
9.103 * [taylor]: Taking taylor expansion of 0 in y.im
9.103 * [backup-simplify]: Simplify 0 into 0
9.103 * [taylor]: Taking taylor expansion of 0 in x.re
9.103 * [backup-simplify]: Simplify 0 into 0
9.103 * [taylor]: Taking taylor expansion of 0 in x.re
9.103 * [backup-simplify]: Simplify 0 into 0
9.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0
9.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.105 * [backup-simplify]: Simplify (+ 0 0) into 0
9.105 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 1)) into 0
9.106 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
9.106 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
9.106 * [taylor]: Taking taylor expansion of 0 in x.re
9.106 * [backup-simplify]: Simplify 0 into 0
9.106 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0
9.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0
9.108 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0
9.109 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.109 * [backup-simplify]: Simplify (+ 0 0) into 0
9.111 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 (/ 1 (pow y.re 2))) (+ (* 0 0) (* 0 1))))) into 0
9.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.re 2)) 1)) (* (- (/ 1 (pow y.re 2))) (/ 0 1)))) into 0
9.112 * [taylor]: Taking taylor expansion of 0 in x.re
9.112 * [backup-simplify]: Simplify 0 into 0
9.112 * [taylor]: Taking taylor expansion of 0 in y.re
9.112 * [backup-simplify]: Simplify 0 into 0
9.112 * [backup-simplify]: Simplify 0 into 0
9.112 * [backup-simplify]: Simplify 0 into 0
9.112 * * * * [progress]: [ 2 / 2 ] generating series at (2 1)
9.113 * [backup-simplify]: Simplify (+ (* x.im y.im) (* x.re y.re)) into (+ (* y.im x.im) (* y.re x.re))
9.113 * [approximate]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in (x.im y.im x.re y.re) around 0
9.113 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.re
9.113 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
9.113 * [taylor]: Taking taylor expansion of y.im in y.re
9.113 * [backup-simplify]: Simplify y.im into y.im
9.113 * [taylor]: Taking taylor expansion of x.im in y.re
9.113 * [backup-simplify]: Simplify x.im into x.im
9.113 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
9.113 * [taylor]: Taking taylor expansion of y.re in y.re
9.113 * [backup-simplify]: Simplify 0 into 0
9.113 * [backup-simplify]: Simplify 1 into 1
9.113 * [taylor]: Taking taylor expansion of x.re in y.re
9.113 * [backup-simplify]: Simplify x.re into x.re
9.113 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.re
9.113 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
9.113 * [taylor]: Taking taylor expansion of y.im in x.re
9.113 * [backup-simplify]: Simplify y.im into y.im
9.113 * [taylor]: Taking taylor expansion of x.im in x.re
9.113 * [backup-simplify]: Simplify x.im into x.im
9.113 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
9.113 * [taylor]: Taking taylor expansion of y.re in x.re
9.113 * [backup-simplify]: Simplify y.re into y.re
9.113 * [taylor]: Taking taylor expansion of x.re in x.re
9.113 * [backup-simplify]: Simplify 0 into 0
9.113 * [backup-simplify]: Simplify 1 into 1
9.113 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in y.im
9.113 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
9.113 * [taylor]: Taking taylor expansion of y.im in y.im
9.113 * [backup-simplify]: Simplify 0 into 0
9.113 * [backup-simplify]: Simplify 1 into 1
9.113 * [taylor]: Taking taylor expansion of x.im in y.im
9.113 * [backup-simplify]: Simplify x.im into x.im
9.113 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
9.113 * [taylor]: Taking taylor expansion of y.re in y.im
9.113 * [backup-simplify]: Simplify y.re into y.re
9.113 * [taylor]: Taking taylor expansion of x.re in y.im
9.113 * [backup-simplify]: Simplify x.re into x.re
9.113 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.im
9.113 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
9.113 * [taylor]: Taking taylor expansion of y.im in x.im
9.114 * [backup-simplify]: Simplify y.im into y.im
9.114 * [taylor]: Taking taylor expansion of x.im in x.im
9.114 * [backup-simplify]: Simplify 0 into 0
9.114 * [backup-simplify]: Simplify 1 into 1
9.114 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
9.114 * [taylor]: Taking taylor expansion of y.re in x.im
9.114 * [backup-simplify]: Simplify y.re into y.re
9.114 * [taylor]: Taking taylor expansion of x.re in x.im
9.114 * [backup-simplify]: Simplify x.re into x.re
9.114 * [taylor]: Taking taylor expansion of (+ (* y.im x.im) (* y.re x.re)) in x.im
9.114 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
9.114 * [taylor]: Taking taylor expansion of y.im in x.im
9.114 * [backup-simplify]: Simplify y.im into y.im
9.114 * [taylor]: Taking taylor expansion of x.im in x.im
9.114 * [backup-simplify]: Simplify 0 into 0
9.114 * [backup-simplify]: Simplify 1 into 1
9.114 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
9.114 * [taylor]: Taking taylor expansion of y.re in x.im
9.114 * [backup-simplify]: Simplify y.re into y.re
9.114 * [taylor]: Taking taylor expansion of x.re in x.im
9.114 * [backup-simplify]: Simplify x.re into x.re
9.114 * [backup-simplify]: Simplify (* y.im 0) into 0
9.114 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.114 * [backup-simplify]: Simplify (+ 0 (* y.re x.re)) into (* y.re x.re)
9.114 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
9.114 * [taylor]: Taking taylor expansion of y.re in y.im
9.114 * [backup-simplify]: Simplify y.re into y.re
9.114 * [taylor]: Taking taylor expansion of x.re in y.im
9.114 * [backup-simplify]: Simplify x.re into x.re
9.114 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.114 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
9.114 * [taylor]: Taking taylor expansion of y.re in x.re
9.115 * [backup-simplify]: Simplify y.re into y.re
9.115 * [taylor]: Taking taylor expansion of x.re in x.re
9.115 * [backup-simplify]: Simplify 0 into 0
9.115 * [backup-simplify]: Simplify 1 into 1
9.115 * [backup-simplify]: Simplify (* y.re 0) into 0
9.115 * [taylor]: Taking taylor expansion of 0 in y.re
9.115 * [backup-simplify]: Simplify 0 into 0
9.115 * [backup-simplify]: Simplify 0 into 0
9.115 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
9.115 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
9.115 * [backup-simplify]: Simplify (+ y.im 0) into y.im
9.115 * [taylor]: Taking taylor expansion of y.im in y.im
9.115 * [backup-simplify]: Simplify 0 into 0
9.115 * [backup-simplify]: Simplify 1 into 1
9.115 * [taylor]: Taking taylor expansion of 0 in x.re
9.115 * [backup-simplify]: Simplify 0 into 0
9.115 * [taylor]: Taking taylor expansion of 0 in y.re
9.116 * [backup-simplify]: Simplify 0 into 0
9.116 * [backup-simplify]: Simplify 0 into 0
9.116 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
9.116 * [taylor]: Taking taylor expansion of 0 in x.re
9.116 * [backup-simplify]: Simplify 0 into 0
9.116 * [taylor]: Taking taylor expansion of 0 in y.re
9.116 * [backup-simplify]: Simplify 0 into 0
9.116 * [backup-simplify]: Simplify 0 into 0
9.116 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
9.116 * [taylor]: Taking taylor expansion of y.re in y.re
9.116 * [backup-simplify]: Simplify 0 into 0
9.116 * [backup-simplify]: Simplify 1 into 1
9.116 * [backup-simplify]: Simplify 0 into 0
9.116 * [backup-simplify]: Simplify 0 into 0
9.117 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
9.118 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
9.118 * [backup-simplify]: Simplify (+ 0 0) into 0
9.118 * [taylor]: Taking taylor expansion of 0 in y.im
9.118 * [backup-simplify]: Simplify 0 into 0
9.118 * [taylor]: Taking taylor expansion of 0 in x.re
9.118 * [backup-simplify]: Simplify 0 into 0
9.118 * [taylor]: Taking taylor expansion of 0 in y.re
9.118 * [backup-simplify]: Simplify 0 into 0
9.118 * [backup-simplify]: Simplify 0 into 0
9.118 * [backup-simplify]: Simplify 0 into 0
9.119 * [backup-simplify]: Simplify (+ (* (/ 1 x.im) (/ 1 y.im)) (* (/ 1 x.re) (/ 1 y.re))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))
9.119 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.im y.im x.re y.re) around 0
9.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
9.119 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
9.119 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
9.119 * [taylor]: Taking taylor expansion of y.im in y.re
9.119 * [backup-simplify]: Simplify y.im into y.im
9.119 * [taylor]: Taking taylor expansion of x.im in y.re
9.119 * [backup-simplify]: Simplify x.im into x.im
9.119 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
9.119 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
9.119 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
9.119 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
9.119 * [taylor]: Taking taylor expansion of y.re in y.re
9.119 * [backup-simplify]: Simplify 0 into 0
9.119 * [backup-simplify]: Simplify 1 into 1
9.119 * [taylor]: Taking taylor expansion of x.re in y.re
9.119 * [backup-simplify]: Simplify x.re into x.re
9.119 * [backup-simplify]: Simplify (* 0 x.re) into 0
9.120 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
9.120 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
9.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re
9.120 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
9.120 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
9.120 * [taylor]: Taking taylor expansion of y.im in x.re
9.120 * [backup-simplify]: Simplify y.im into y.im
9.120 * [taylor]: Taking taylor expansion of x.im in x.re
9.120 * [backup-simplify]: Simplify x.im into x.im
9.120 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
9.120 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
9.120 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
9.120 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
9.120 * [taylor]: Taking taylor expansion of y.re in x.re
9.120 * [backup-simplify]: Simplify y.re into y.re
9.120 * [taylor]: Taking taylor expansion of x.re in x.re
9.120 * [backup-simplify]: Simplify 0 into 0
9.120 * [backup-simplify]: Simplify 1 into 1
9.120 * [backup-simplify]: Simplify (* y.re 0) into 0
9.121 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
9.121 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
9.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im
9.121 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
9.121 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
9.121 * [taylor]: Taking taylor expansion of y.im in y.im
9.121 * [backup-simplify]: Simplify 0 into 0
9.121 * [backup-simplify]: Simplify 1 into 1
9.121 * [taylor]: Taking taylor expansion of x.im in y.im
9.121 * [backup-simplify]: Simplify x.im into x.im
9.121 * [backup-simplify]: Simplify (* 0 x.im) into 0
9.121 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
9.122 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
9.122 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
9.122 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
9.122 * [taylor]: Taking taylor expansion of y.re in y.im
9.122 * [backup-simplify]: Simplify y.re into y.re
9.122 * [taylor]: Taking taylor expansion of x.re in y.im
9.122 * [backup-simplify]: Simplify x.re into x.re
9.122 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.122 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
9.122 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
9.122 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
9.122 * [taylor]: Taking taylor expansion of y.im in x.im
9.122 * [backup-simplify]: Simplify y.im into y.im
9.122 * [taylor]: Taking taylor expansion of x.im in x.im
9.122 * [backup-simplify]: Simplify 0 into 0
9.122 * [backup-simplify]: Simplify 1 into 1
9.122 * [backup-simplify]: Simplify (* y.im 0) into 0
9.123 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
9.123 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
9.123 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
9.123 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
9.123 * [taylor]: Taking taylor expansion of y.re in x.im
9.123 * [backup-simplify]: Simplify y.re into y.re
9.123 * [taylor]: Taking taylor expansion of x.re in x.im
9.123 * [backup-simplify]: Simplify x.re into x.re
9.123 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.123 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
9.123 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
9.123 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
9.123 * [taylor]: Taking taylor expansion of y.im in x.im
9.123 * [backup-simplify]: Simplify y.im into y.im
9.123 * [taylor]: Taking taylor expansion of x.im in x.im
9.123 * [backup-simplify]: Simplify 0 into 0
9.123 * [backup-simplify]: Simplify 1 into 1
9.123 * [backup-simplify]: Simplify (* y.im 0) into 0
9.124 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
9.124 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
9.124 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
9.124 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
9.124 * [taylor]: Taking taylor expansion of y.re in x.im
9.124 * [backup-simplify]: Simplify y.re into y.re
9.124 * [taylor]: Taking taylor expansion of x.re in x.im
9.124 * [backup-simplify]: Simplify x.re into x.re
9.124 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.124 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.124 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im)
9.124 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
9.124 * [taylor]: Taking taylor expansion of y.im in y.im
9.124 * [backup-simplify]: Simplify 0 into 0
9.124 * [backup-simplify]: Simplify 1 into 1
9.125 * [backup-simplify]: Simplify (/ 1 1) into 1
9.125 * [taylor]: Taking taylor expansion of 1 in x.re
9.125 * [backup-simplify]: Simplify 1 into 1
9.126 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
9.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
9.126 * [backup-simplify]: Simplify (+ 0 (/ 1 (* y.re x.re))) into (/ 1 (* y.re x.re))
9.126 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
9.126 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
9.126 * [taylor]: Taking taylor expansion of y.re in y.im
9.126 * [backup-simplify]: Simplify y.re into y.re
9.126 * [taylor]: Taking taylor expansion of x.re in y.im
9.126 * [backup-simplify]: Simplify x.re into x.re
9.126 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.126 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.127 * [taylor]: Taking taylor expansion of 0 in x.re
9.127 * [backup-simplify]: Simplify 0 into 0
9.127 * [taylor]: Taking taylor expansion of 1 in y.re
9.127 * [backup-simplify]: Simplify 1 into 1
9.128 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
9.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
9.128 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
9.128 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
9.129 * [backup-simplify]: Simplify (+ 0 0) into 0
9.129 * [taylor]: Taking taylor expansion of 0 in y.im
9.129 * [backup-simplify]: Simplify 0 into 0
9.129 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
9.129 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
9.129 * [taylor]: Taking taylor expansion of y.re in x.re
9.129 * [backup-simplify]: Simplify y.re into y.re
9.129 * [taylor]: Taking taylor expansion of x.re in x.re
9.129 * [backup-simplify]: Simplify 0 into 0
9.129 * [backup-simplify]: Simplify 1 into 1
9.129 * [backup-simplify]: Simplify (* y.re 0) into 0
9.130 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
9.130 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
9.130 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
9.130 * [taylor]: Taking taylor expansion of y.re in y.re
9.130 * [backup-simplify]: Simplify 0 into 0
9.130 * [backup-simplify]: Simplify 1 into 1
9.130 * [backup-simplify]: Simplify (/ 1 1) into 1
9.130 * [backup-simplify]: Simplify 1 into 1
9.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.131 * [taylor]: Taking taylor expansion of 0 in x.re
9.131 * [backup-simplify]: Simplify 0 into 0
9.131 * [taylor]: Taking taylor expansion of 0 in y.re
9.131 * [backup-simplify]: Simplify 0 into 0
9.131 * [taylor]: Taking taylor expansion of 0 in y.re
9.131 * [backup-simplify]: Simplify 0 into 0
9.131 * [backup-simplify]: Simplify 1 into 1
9.132 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
9.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
9.133 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
9.133 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0
9.134 * [backup-simplify]: Simplify (+ 0 0) into 0
9.134 * [taylor]: Taking taylor expansion of 0 in y.im
9.134 * [backup-simplify]: Simplify 0 into 0
9.134 * [taylor]: Taking taylor expansion of 0 in x.re
9.134 * [backup-simplify]: Simplify 0 into 0
9.134 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
9.134 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
9.134 * [taylor]: Taking taylor expansion of 0 in x.re
9.134 * [backup-simplify]: Simplify 0 into 0
9.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.135 * [taylor]: Taking taylor expansion of 0 in x.re
9.135 * [backup-simplify]: Simplify 0 into 0
9.136 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
9.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
9.136 * [taylor]: Taking taylor expansion of 0 in y.re
9.136 * [backup-simplify]: Simplify 0 into 0
9.136 * [taylor]: Taking taylor expansion of 0 in y.re
9.136 * [backup-simplify]: Simplify 0 into 0
9.136 * [taylor]: Taking taylor expansion of 0 in y.re
9.136 * [backup-simplify]: Simplify 0 into 0
9.136 * [taylor]: Taking taylor expansion of 0 in y.re
9.136 * [backup-simplify]: Simplify 0 into 0
9.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.137 * [backup-simplify]: Simplify 0 into 0
9.137 * [backup-simplify]: Simplify 0 into 0
9.137 * [backup-simplify]: Simplify 0 into 0
9.137 * [backup-simplify]: Simplify 0 into 0
9.138 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
9.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
9.140 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
9.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0
9.140 * [backup-simplify]: Simplify (+ 0 0) into 0
9.140 * [taylor]: Taking taylor expansion of 0 in y.im
9.140 * [backup-simplify]: Simplify 0 into 0
9.140 * [taylor]: Taking taylor expansion of 0 in x.re
9.140 * [backup-simplify]: Simplify 0 into 0
9.140 * [taylor]: Taking taylor expansion of 0 in x.re
9.140 * [backup-simplify]: Simplify 0 into 0
9.141 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
9.141 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0
9.141 * [taylor]: Taking taylor expansion of 0 in x.re
9.141 * [backup-simplify]: Simplify 0 into 0
9.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.142 * [taylor]: Taking taylor expansion of 0 in x.re
9.142 * [backup-simplify]: Simplify 0 into 0
9.142 * [taylor]: Taking taylor expansion of 0 in y.re
9.142 * [backup-simplify]: Simplify 0 into 0
9.142 * [taylor]: Taking taylor expansion of 0 in y.re
9.142 * [backup-simplify]: Simplify 0 into 0
9.142 * [taylor]: Taking taylor expansion of 0 in y.re
9.142 * [backup-simplify]: Simplify 0 into 0
9.143 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
9.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
9.144 * [taylor]: Taking taylor expansion of 0 in y.re
9.144 * [backup-simplify]: Simplify 0 into 0
9.144 * [taylor]: Taking taylor expansion of 0 in y.re
9.144 * [backup-simplify]: Simplify 0 into 0
9.144 * [taylor]: Taking taylor expansion of 0 in y.re
9.144 * [backup-simplify]: Simplify 0 into 0
9.144 * [taylor]: Taking taylor expansion of 0 in y.re
9.144 * [backup-simplify]: Simplify 0 into 0
9.144 * [backup-simplify]: Simplify 0 into 0
9.144 * [backup-simplify]: Simplify 0 into 0
9.145 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 y.im)) (/ 1 (/ 1 x.im)))))) (* 1 (* (/ 1 (/ 1 y.re)) (* (/ 1 (/ 1 x.re)) (* 1 1))))) into (+ (* y.im x.im) (* y.re x.re))
9.145 * [backup-simplify]: Simplify (+ (* (/ 1 (- x.im)) (/ 1 (- y.im))) (* (/ 1 (- x.re)) (/ 1 (- y.re)))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))
9.145 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.im y.im x.re y.re) around 0
9.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re
9.145 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re
9.145 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re
9.145 * [taylor]: Taking taylor expansion of y.im in y.re
9.145 * [backup-simplify]: Simplify y.im into y.im
9.145 * [taylor]: Taking taylor expansion of x.im in y.re
9.145 * [backup-simplify]: Simplify x.im into x.im
9.145 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
9.145 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
9.145 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re
9.145 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re
9.146 * [taylor]: Taking taylor expansion of y.re in y.re
9.146 * [backup-simplify]: Simplify 0 into 0
9.146 * [backup-simplify]: Simplify 1 into 1
9.146 * [taylor]: Taking taylor expansion of x.re in y.re
9.146 * [backup-simplify]: Simplify x.re into x.re
9.146 * [backup-simplify]: Simplify (* 0 x.re) into 0
9.146 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re
9.146 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re)
9.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re
9.146 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re
9.146 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re
9.146 * [taylor]: Taking taylor expansion of y.im in x.re
9.146 * [backup-simplify]: Simplify y.im into y.im
9.146 * [taylor]: Taking taylor expansion of x.im in x.re
9.146 * [backup-simplify]: Simplify x.im into x.im
9.146 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im)
9.147 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im))
9.147 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
9.147 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
9.147 * [taylor]: Taking taylor expansion of y.re in x.re
9.147 * [backup-simplify]: Simplify y.re into y.re
9.147 * [taylor]: Taking taylor expansion of x.re in x.re
9.147 * [backup-simplify]: Simplify 0 into 0
9.147 * [backup-simplify]: Simplify 1 into 1
9.147 * [backup-simplify]: Simplify (* y.re 0) into 0
9.147 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
9.147 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
9.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im
9.147 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im
9.147 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im
9.147 * [taylor]: Taking taylor expansion of y.im in y.im
9.147 * [backup-simplify]: Simplify 0 into 0
9.147 * [backup-simplify]: Simplify 1 into 1
9.147 * [taylor]: Taking taylor expansion of x.im in y.im
9.147 * [backup-simplify]: Simplify x.im into x.im
9.148 * [backup-simplify]: Simplify (* 0 x.im) into 0
9.148 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im
9.148 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im)
9.148 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
9.148 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
9.148 * [taylor]: Taking taylor expansion of y.re in y.im
9.148 * [backup-simplify]: Simplify y.re into y.re
9.148 * [taylor]: Taking taylor expansion of x.re in y.im
9.148 * [backup-simplify]: Simplify x.re into x.re
9.148 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.148 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
9.148 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
9.148 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
9.148 * [taylor]: Taking taylor expansion of y.im in x.im
9.148 * [backup-simplify]: Simplify y.im into y.im
9.148 * [taylor]: Taking taylor expansion of x.im in x.im
9.149 * [backup-simplify]: Simplify 0 into 0
9.149 * [backup-simplify]: Simplify 1 into 1
9.149 * [backup-simplify]: Simplify (* y.im 0) into 0
9.149 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
9.149 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
9.149 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
9.149 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
9.149 * [taylor]: Taking taylor expansion of y.re in x.im
9.149 * [backup-simplify]: Simplify y.re into y.re
9.149 * [taylor]: Taking taylor expansion of x.re in x.im
9.149 * [backup-simplify]: Simplify x.re into x.re
9.149 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.149 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im
9.149 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im
9.149 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im
9.149 * [taylor]: Taking taylor expansion of y.im in x.im
9.149 * [backup-simplify]: Simplify y.im into y.im
9.149 * [taylor]: Taking taylor expansion of x.im in x.im
9.149 * [backup-simplify]: Simplify 0 into 0
9.150 * [backup-simplify]: Simplify 1 into 1
9.150 * [backup-simplify]: Simplify (* y.im 0) into 0
9.150 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im
9.150 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im)
9.150 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im
9.150 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im
9.150 * [taylor]: Taking taylor expansion of y.re in x.im
9.150 * [backup-simplify]: Simplify y.re into y.re
9.150 * [taylor]: Taking taylor expansion of x.re in x.im
9.150 * [backup-simplify]: Simplify x.re into x.re
9.150 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.150 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.151 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im)
9.151 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im
9.151 * [taylor]: Taking taylor expansion of y.im in y.im
9.151 * [backup-simplify]: Simplify 0 into 0
9.151 * [backup-simplify]: Simplify 1 into 1
9.151 * [backup-simplify]: Simplify (/ 1 1) into 1
9.151 * [taylor]: Taking taylor expansion of 1 in x.re
9.151 * [backup-simplify]: Simplify 1 into 1
9.152 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0
9.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0
9.152 * [backup-simplify]: Simplify (+ 0 (/ 1 (* y.re x.re))) into (/ 1 (* y.re x.re))
9.152 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im
9.152 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im
9.152 * [taylor]: Taking taylor expansion of y.re in y.im
9.152 * [backup-simplify]: Simplify y.re into y.re
9.152 * [taylor]: Taking taylor expansion of x.re in y.im
9.152 * [backup-simplify]: Simplify x.re into x.re
9.152 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re)
9.152 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re))
9.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.153 * [taylor]: Taking taylor expansion of 0 in x.re
9.153 * [backup-simplify]: Simplify 0 into 0
9.153 * [taylor]: Taking taylor expansion of 1 in y.re
9.153 * [backup-simplify]: Simplify 1 into 1
9.155 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
9.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
9.155 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
9.155 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
9.156 * [backup-simplify]: Simplify (+ 0 0) into 0
9.156 * [taylor]: Taking taylor expansion of 0 in y.im
9.156 * [backup-simplify]: Simplify 0 into 0
9.156 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re
9.156 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re
9.156 * [taylor]: Taking taylor expansion of y.re in x.re
9.156 * [backup-simplify]: Simplify y.re into y.re
9.156 * [taylor]: Taking taylor expansion of x.re in x.re
9.156 * [backup-simplify]: Simplify 0 into 0
9.156 * [backup-simplify]: Simplify 1 into 1
9.156 * [backup-simplify]: Simplify (* y.re 0) into 0
9.156 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re
9.156 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re)
9.156 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re
9.157 * [taylor]: Taking taylor expansion of y.re in y.re
9.157 * [backup-simplify]: Simplify 0 into 0
9.157 * [backup-simplify]: Simplify 1 into 1
9.157 * [backup-simplify]: Simplify (/ 1 1) into 1
9.157 * [backup-simplify]: Simplify 1 into 1
9.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.158 * [taylor]: Taking taylor expansion of 0 in x.re
9.158 * [backup-simplify]: Simplify 0 into 0
9.158 * [taylor]: Taking taylor expansion of 0 in y.re
9.158 * [backup-simplify]: Simplify 0 into 0
9.158 * [taylor]: Taking taylor expansion of 0 in y.re
9.158 * [backup-simplify]: Simplify 0 into 0
9.158 * [backup-simplify]: Simplify 1 into 1
9.160 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0
9.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
9.160 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
9.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0
9.161 * [backup-simplify]: Simplify (+ 0 0) into 0
9.161 * [taylor]: Taking taylor expansion of 0 in y.im
9.161 * [backup-simplify]: Simplify 0 into 0
9.161 * [taylor]: Taking taylor expansion of 0 in x.re
9.161 * [backup-simplify]: Simplify 0 into 0
9.161 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 x.re)) into 0
9.162 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))))) into 0
9.162 * [taylor]: Taking taylor expansion of 0 in x.re
9.162 * [backup-simplify]: Simplify 0 into 0
9.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.163 * [taylor]: Taking taylor expansion of 0 in x.re
9.163 * [backup-simplify]: Simplify 0 into 0
9.163 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0
9.164 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0
9.164 * [taylor]: Taking taylor expansion of 0 in y.re
9.164 * [backup-simplify]: Simplify 0 into 0
9.164 * [taylor]: Taking taylor expansion of 0 in y.re
9.164 * [backup-simplify]: Simplify 0 into 0
9.164 * [taylor]: Taking taylor expansion of 0 in y.re
9.164 * [backup-simplify]: Simplify 0 into 0
9.164 * [taylor]: Taking taylor expansion of 0 in y.re
9.164 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0
9.165 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify 0 into 0
9.165 * [backup-simplify]: Simplify 0 into 0
9.166 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0
9.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0
9.166 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0
9.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0
9.167 * [backup-simplify]: Simplify (+ 0 0) into 0
9.167 * [taylor]: Taking taylor expansion of 0 in y.im
9.167 * [backup-simplify]: Simplify 0 into 0
9.167 * [taylor]: Taking taylor expansion of 0 in x.re
9.167 * [backup-simplify]: Simplify 0 into 0
9.167 * [taylor]: Taking taylor expansion of 0 in x.re
9.167 * [backup-simplify]: Simplify 0 into 0
9.167 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 x.re))) into 0
9.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.re x.re)) (/ 0 (* y.re x.re))) (* 0 (/ 0 (* y.re x.re))))) into 0
9.167 * [taylor]: Taking taylor expansion of 0 in x.re
9.167 * [backup-simplify]: Simplify 0 into 0
9.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0
9.168 * [taylor]: Taking taylor expansion of 0 in x.re
9.168 * [backup-simplify]: Simplify 0 into 0
9.168 * [taylor]: Taking taylor expansion of 0 in y.re
9.168 * [backup-simplify]: Simplify 0 into 0
9.168 * [taylor]: Taking taylor expansion of 0 in y.re
9.168 * [backup-simplify]: Simplify 0 into 0
9.168 * [taylor]: Taking taylor expansion of 0 in y.re
9.168 * [backup-simplify]: Simplify 0 into 0
9.169 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0
9.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0
9.169 * [taylor]: Taking taylor expansion of 0 in y.re
9.169 * [backup-simplify]: Simplify 0 into 0
9.169 * [taylor]: Taking taylor expansion of 0 in y.re
9.169 * [backup-simplify]: Simplify 0 into 0
9.169 * [taylor]: Taking taylor expansion of 0 in y.re
9.169 * [backup-simplify]: Simplify 0 into 0
9.169 * [taylor]: Taking taylor expansion of 0 in y.re
9.169 * [backup-simplify]: Simplify 0 into 0
9.169 * [backup-simplify]: Simplify 0 into 0
9.169 * [backup-simplify]: Simplify 0 into 0
9.169 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- y.im))) (/ 1 (/ 1 (- x.im))))))) (* 1 (* (/ 1 (/ 1 (- y.re))) (* (/ 1 (/ 1 (- x.re))) (* 1 1))))) into (+ (* y.im x.im) (* y.re x.re))
9.169 * * * [progress]: simplifying candidates
9.170 * [simplify]: Simplifying:
  (- (log (+ (* x.im y.im) (* x.re y.re))) (log (+ (* y.re y.re) (* y.im y.im))))
  (log (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (exp (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (/ (* (* (+ (* x.im y.im) (* x.re y.re)) (+ (* x.im y.im) (* x.re y.re))) (+ (* x.im y.im) (* x.re y.re))) (* (* (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re y.re) (* y.im y.im))))
  (* (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))))
  (cbrt (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (* (* (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
  (- (+ (* x.im y.im) (* x.re y.re)))
  (- (+ (* y.re y.re) (* y.im y.im)))
  (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re)))) 1)
  (/ (cbrt (+ (* x.im y.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))
  (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) 1)
  (/ (sqrt (+ (* x.im y.im) (* x.re y.re))) (+ (* y.re y.re) (* y.im y.im)))
  (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* x.im y.im) (* x.re y.re)) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 1)
  (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))
  (/ 1 (+ (* y.re y.re) (* y.im y.im)))
  (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.im y.im) (* x.re y.re)))
  (/ (+ (* x.im y.im) (* x.re y.re)) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* x.im y.im) (* x.re y.re)) 1)
  (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.im y.im) (* x.re y.re))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (sqrt (+ (* x.im y.im) (* x.re y.re))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.im y.im) (* x.re y.re)))
  (/ (+ (* x.im y.im) (* x.re y.re)) (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))
  (/ (+ (* x.im y.im) (* x.re y.re)) (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im))))
  (* (+ (* y.re y.re) (* y.im y.im)) (+ (* (* x.im y.im) (* x.im y.im)) (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.re y.re)))))
  (* (+ (* y.re y.re) (* y.im y.im)) (- (* x.im y.im) (* x.re y.re)))
  (* (exp (* x.im y.im)) (exp (* x.re y.re)))
  (log (+ (* x.im y.im) (* x.re y.re)))
  (exp (+ (* x.im y.im) (* x.re y.re)))
  (* (cbrt (+ (* x.im y.im) (* x.re y.re))) (cbrt (+ (* x.im y.im) (* x.re y.re))))
  (cbrt (+ (* x.im y.im) (* x.re y.re)))
  (* (* (+ (* x.im y.im) (* x.re y.re)) (+ (* x.im y.im) (* x.re y.re))) (+ (* x.im y.im) (* x.re y.re)))
  (sqrt (+ (* x.im y.im) (* x.re y.re)))
  (sqrt (+ (* x.im y.im) (* x.re y.re)))
  (+ (pow (* x.im y.im) 3) (pow (* x.re y.re) 3))
  (+ (* (* x.im y.im) (* x.im y.im)) (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.re y.re))))
  (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.re y.re)))
  (- (* x.im y.im) (* x.re y.re))
  0
  0
  0
  0
  (+ (* y.im x.im) (* y.re x.re))
  (+ (* y.im x.im) (* y.re x.re))
9.171 * * [simplify]: iteration 0: 86 enodes
9.189 * * [simplify]: iteration 1: 237 enodes
9.272 * * [simplify]: iteration 2: 906 enodes
9.898 * * [simplify]: iteration 3: 4320 enodes
10.841 * * [simplify]: iteration complete: 5001 enodes
10.841 * * [simplify]: Extracting #0: cost 44 inf + 0
10.847 * * [simplify]: Extracting #1: cost 561 inf + 2
10.854 * * [simplify]: Extracting #2: cost 1268 inf + 3
10.866 * * [simplify]: Extracting #3: cost 1464 inf + 227
10.873 * * [simplify]: Extracting #4: cost 1201 inf + 2960
10.878 * * [simplify]: Extracting #5: cost 290 inf + 19355
10.883 * * [simplify]: Extracting #6: cost 2 inf + 26928
10.889 * * [simplify]: Extracting #7: cost 0 inf + 26988
10.894 * [simplify]: Simplified to:
  (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))
  (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))
  (exp (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))
  (pow (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) 3)
  (* (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))))
  (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))
  (pow (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) 3)
  (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))
  (- (- (* x.re y.re)) (* x.im y.im))
  (- (* (- y.re) y.re) (* y.im y.im))
  (* (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))))
  (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im))))
  (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im)))
  (/ (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (sqrt (+ (* x.re y.re) (* x.im y.im)))
  (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im)))
  (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))))
  (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  1
  (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))
  (/ 1 (+ (* y.re y.re) (* y.im y.im)))
  (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.re y.re) (* x.im y.im)))
  (/ (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.re y.re) (* y.im y.im))))
  (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))
  (+ (* x.re y.re) (* x.im y.im))
  (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im))))
  (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.re y.re) (* x.im y.im)))
  (/ (+ (* x.re y.re) (* x.im y.im)) (+ (pow y.im 6) (pow y.re 6)))
  (/ (+ (* x.re y.re) (* x.im y.im)) (- (pow y.re 4) (pow y.im 4)))
  (* (- (* y.re (* x.re (* x.re y.re))) (* (* x.im y.im) (- (* x.re y.re) (* x.im y.im)))) (+ (* y.re y.re) (* y.im y.im)))
  (* (- (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im)))
  (exp (+ (* x.re y.re) (* x.im y.im)))
  (log (+ (* x.re y.re) (* x.im y.im)))
  (exp (+ (* x.re y.re) (* x.im y.im)))
  (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im))))
  (cbrt (+ (* x.re y.re) (* x.im y.im)))
  (pow (+ (* x.re y.re) (* x.im y.im)) 3)
  (sqrt (+ (* x.re y.re) (* x.im y.im)))
  (sqrt (+ (* x.re y.re) (* x.im y.im)))
  (+ (pow (* x.im y.im) 3) (pow (* x.re y.re) 3))
  (- (* y.re (* x.re (* x.re y.re))) (* (* x.im y.im) (- (* x.re y.re) (* x.im y.im))))
  (- (* (* x.im x.im) (* y.im y.im)) (* y.re (* x.re (* x.re y.re))))
  (- (* x.im y.im) (* x.re y.re))
  0
  0
  0
  0
  (+ (* x.re y.re) (* x.im y.im))
  (+ (* x.re y.re) (* x.im y.im))
10.894 * * * [progress]: adding candidates to table
11.154 * [progress]: [Phase 3 of 3] Extracting.
11.154 * * [regime]: Finding splitpoints for: (#<alt (λ (x.re x.im y.re y.im) 0)> #<alt (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ x.re (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) y.im))> #<alt (λ (x.re x.im y.re y.im) (/ (* (sqrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.im) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (exp (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ 1 (/ (- y.re) (+ (* y.im x.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>)
11.158 * * * [regime-changes]: Trying 4 branch expressions: (y.im y.re x.im x.re)
11.158 * * * * [regimes]: Trying to branch on y.im from (#<alt (λ (x.re x.im y.re y.im) 0)> #<alt (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ x.re (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) y.im))> #<alt (λ (x.re x.im y.re y.im) (/ (* (sqrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.im) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (exp (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ 1 (/ (- y.re) (+ (* y.im x.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>)
11.271 * * * * [regimes]: Trying to branch on y.re from (#<alt (λ (x.re x.im y.re y.im) 0)> #<alt (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ x.re (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) y.im))> #<alt (λ (x.re x.im y.re y.im) (/ (* (sqrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.im) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (exp (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ 1 (/ (- y.re) (+ (* y.im x.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>)
11.402 * * * * [regimes]: Trying to branch on x.im from (#<alt (λ (x.re x.im y.re y.im) 0)> #<alt (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ x.re (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) y.im))> #<alt (λ (x.re x.im y.re y.im) (/ (* (sqrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.im) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (exp (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ 1 (/ (- y.re) (+ (* y.im x.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>)
11.552 * * * * [regimes]: Trying to branch on x.re from (#<alt (λ (x.re x.im y.re y.im) 0)> #<alt (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ x.re (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) y.im))> #<alt (λ (x.re x.im y.re y.im) (/ (* (sqrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.im) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (exp (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ 1 (/ (- y.re) (+ (* y.im x.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>)
11.677 * * * [regime]: Found split indices: #<option (#s(si 7 59) #s(si 6 255))>
11.678 * [binary-search]: Improving bounds with binary search for y.im and (#<alt (λ (x.re x.im y.re y.im) 0)> #<alt (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ x.re (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) y.im))> #<alt (λ (x.re x.im y.re y.im) (/ (* (sqrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.im) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (exp (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ 1 (/ (- y.re) (+ (* y.im x.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>)
11.732 * [regimes]: Found splitpoints: (#s(sp 7 y.im -1.3001792014151386e+53) #s(sp 6 y.im +nan.0)) , with alts (#<alt (λ (x.re x.im y.re y.im) 0)> #<alt (λ (x.re x.im y.re y.im) (/ x.im (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ x.re (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.re) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) y.im))> #<alt (λ (x.re x.im y.re y.im) (/ (* (sqrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (+ (* y.im x.im) (* x.re y.re))) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))> #<alt (λ (x.re x.im y.re y.im) (/ (- x.im) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (* (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.im x.im) (* x.re y.re))))) (/ (cbrt (+ (* y.im x.im) (* x.re y.re))) (pow (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (exp (log (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ (+ (* x.im y.im) (* x.re y.re)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3))))> #<alt (λ (x.re x.im y.re y.im) (/ (/ 1 (/ (- y.re) (+ (* y.im x.im) (* x.re y.re)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))> #<alt (λ (x.re x.im y.re y.im) (/ (* (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.im x.im) (* x.re y.re)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (sqrt (+ (* y.re y.re) (* y.im y.im)))))>)
11.733 * [simplify]: Simplifying:
  (if (<= y.im -1.3001792014151386e+53) (/ (- x.im) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.im y.im) (* x.re y.re)) (+ (* y.re y.re) (* y.im y.im))))
11.733 * * [simplify]: iteration 0: 17 enodes
11.734 * * [simplify]: iteration 1: 23 enodes
11.735 * * [simplify]: iteration complete: 23 enodes
11.735 * * [simplify]: Extracting #0: cost 1 inf + 0
11.735 * * [simplify]: Extracting #1: cost 4 inf + 0
11.735 * * [simplify]: Extracting #2: cost 11 inf + 0
11.735 * * [simplify]: Extracting #3: cost 14 inf + 2
11.735 * * [simplify]: Extracting #4: cost 12 inf + 12
11.735 * * [simplify]: Extracting #5: cost 8 inf + 19
11.736 * * [simplify]: Extracting #6: cost 3 inf + 59
11.736 * * [simplify]: Extracting #7: cost 0 inf + 110
11.736 * [simplify]: Simplified to:
  (if (<= y.im -1.3001792014151386e+53) (- (/ x.im (sqrt (+ (* y.im y.im) (* y.re y.re))))) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.im y.im) (* y.re y.re))))
15.051 * [regime-testing]: Baseline error score: 25.798197181829572
15.054 * [regime-testing]: Oracle error score: 22.29886929581575
15.058 * [regime-testing]: End program error score: 26.028878734965662