8.778 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.039 * * * [progress]: [2/2] Setting up program. 0.043 * [progress]: [Phase 2 of 3] Improving. 0.043 * [simplify]: Simplifying: (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) 0.043 * [simplify]: Sending expressions to egg_math: (/ (+ (* h0 h1) (* h2 h3)) (+ (* h1 h1) (* h3 h3))) 0.047 * * [simplify]: iteration 0 : 15 enodes (cost 7 ) 0.049 * * [simplify]: iteration 1 : 15 enodes (cost 7 ) 0.049 * * [progress]: iteration 1 / 4 0.049 * * * [progress]: picking best candidate 0.052 * * * * [pick]: Picked # 0.052 * * * [progress]: localizing error 0.070 * * * [progress]: generating rewritten candidates 0.070 * * * * [progress]: [ 1 / 3 ] rewriting at (2) 0.108 * * * * [progress]: [ 2 / 3 ] rewriting at (2 1) 0.116 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.125 * * * [progress]: generating series expansions 0.125 * * * * [progress]: [ 1 / 3 ] generating series at (2) 0.125 * [backup-simplify]: Simplify (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) into (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) 0.125 * [approximate]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in (x.re y.re x.im y.im) around 0 0.125 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in y.im 0.125 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 0.126 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.126 * [taylor]: Taking taylor expansion of y.re in y.im 0.126 * [backup-simplify]: Simplify y.re into y.re 0.126 * [taylor]: Taking taylor expansion of x.re in y.im 0.126 * [backup-simplify]: Simplify x.re into x.re 0.126 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.126 * [taylor]: Taking taylor expansion of y.im in y.im 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of x.im in y.im 0.126 * [backup-simplify]: Simplify x.im into x.im 0.126 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 0.126 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.126 * [taylor]: Taking taylor expansion of y.im in y.im 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.126 * [taylor]: Taking taylor expansion of y.re in y.im 0.126 * [backup-simplify]: Simplify y.re into y.re 0.126 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.126 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.126 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 0.126 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.126 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 0.126 * [backup-simplify]: Simplify (/ (* y.re x.re) (pow y.re 2)) into (/ x.re y.re) 0.126 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in x.im 0.126 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 0.126 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.126 * [taylor]: Taking taylor expansion of y.re in x.im 0.126 * [backup-simplify]: Simplify y.re into y.re 0.126 * [taylor]: Taking taylor expansion of x.re in x.im 0.126 * [backup-simplify]: Simplify x.re into x.re 0.126 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.126 * [taylor]: Taking taylor expansion of y.im in x.im 0.126 * [backup-simplify]: Simplify y.im into y.im 0.126 * [taylor]: Taking taylor expansion of x.im in x.im 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.im 0.126 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.126 * [taylor]: Taking taylor expansion of y.im in x.im 0.126 * [backup-simplify]: Simplify y.im into y.im 0.126 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 0.126 * [taylor]: Taking taylor expansion of y.re in x.im 0.127 * [backup-simplify]: Simplify y.re into y.re 0.127 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.127 * [backup-simplify]: Simplify (* y.im 0) into 0 0.127 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 0.127 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.127 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.127 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 0.127 * [backup-simplify]: Simplify (/ (* y.re x.re) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.re x.re) (+ (pow y.im 2) (pow y.re 2))) 0.127 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in y.re 0.127 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 0.127 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.127 * [taylor]: Taking taylor expansion of y.re in y.re 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [taylor]: Taking taylor expansion of x.re in y.re 0.127 * [backup-simplify]: Simplify x.re into x.re 0.127 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.127 * [taylor]: Taking taylor expansion of y.im in y.re 0.127 * [backup-simplify]: Simplify y.im into y.im 0.127 * [taylor]: Taking taylor expansion of x.im in y.re 0.127 * [backup-simplify]: Simplify x.im into x.im 0.127 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.127 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.127 * [taylor]: Taking taylor expansion of y.im in y.re 0.127 * [backup-simplify]: Simplify y.im into y.im 0.127 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.127 * [taylor]: Taking taylor expansion of y.re in y.re 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 1 into 1 0.127 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.127 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.127 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 0.128 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.128 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.128 * [backup-simplify]: Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im) 0.128 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in x.re 0.128 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 0.128 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.128 * [taylor]: Taking taylor expansion of y.re in x.re 0.128 * [backup-simplify]: Simplify y.re into y.re 0.128 * [taylor]: Taking taylor expansion of x.re in x.re 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.128 * [taylor]: Taking taylor expansion of y.im in x.re 0.128 * [backup-simplify]: Simplify y.im into y.im 0.128 * [taylor]: Taking taylor expansion of x.im in x.re 0.128 * [backup-simplify]: Simplify x.im into x.im 0.128 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 0.128 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.128 * [taylor]: Taking taylor expansion of y.im in x.re 0.128 * [backup-simplify]: Simplify y.im into y.im 0.128 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.128 * [taylor]: Taking taylor expansion of y.re in x.re 0.128 * [backup-simplify]: Simplify y.re into y.re 0.128 * [backup-simplify]: Simplify (* y.re 0) into 0 0.128 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.128 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 0.128 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.128 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.128 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 0.129 * [backup-simplify]: Simplify (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.im x.im) (+ (pow y.im 2) (pow y.re 2))) 0.129 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in x.re 0.129 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 0.129 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.129 * [taylor]: Taking taylor expansion of y.re in x.re 0.129 * [backup-simplify]: Simplify y.re into y.re 0.129 * [taylor]: Taking taylor expansion of x.re in x.re 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.129 * [taylor]: Taking taylor expansion of y.im in x.re 0.129 * [backup-simplify]: Simplify y.im into y.im 0.129 * [taylor]: Taking taylor expansion of x.im in x.re 0.129 * [backup-simplify]: Simplify x.im into x.im 0.129 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 0.129 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.129 * [taylor]: Taking taylor expansion of y.im in x.re 0.129 * [backup-simplify]: Simplify y.im into y.im 0.129 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.129 * [taylor]: Taking taylor expansion of y.re in x.re 0.129 * [backup-simplify]: Simplify y.re into y.re 0.129 * [backup-simplify]: Simplify (* y.re 0) into 0 0.129 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.129 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 0.129 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.129 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.129 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 0.129 * [backup-simplify]: Simplify (/ (* y.im x.im) (+ (pow y.re 2) (pow y.im 2))) into (/ (* y.im x.im) (+ (pow y.im 2) (pow y.re 2))) 0.129 * [taylor]: Taking taylor expansion of (/ (* y.im x.im) (+ (pow y.im 2) (pow y.re 2))) in y.re 0.129 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.130 * [taylor]: Taking taylor expansion of y.im in y.re 0.130 * [backup-simplify]: Simplify y.im into y.im 0.130 * [taylor]: Taking taylor expansion of x.im in y.re 0.130 * [backup-simplify]: Simplify x.im into x.im 0.130 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.130 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.130 * [taylor]: Taking taylor expansion of y.im in y.re 0.130 * [backup-simplify]: Simplify y.im into y.im 0.130 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.130 * [taylor]: Taking taylor expansion of y.re in y.re 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.130 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.130 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.130 * [backup-simplify]: Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im) 0.130 * [taylor]: Taking taylor expansion of (/ x.im y.im) in x.im 0.130 * [taylor]: Taking taylor expansion of x.im in x.im 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.130 * [taylor]: Taking taylor expansion of y.im in x.im 0.130 * [backup-simplify]: Simplify y.im into y.im 0.130 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.131 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.131 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.131 * [backup-simplify]: Simplify (+ y.re 0) into y.re 0.131 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.131 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (- (/ y.re (+ (pow y.re 2) (pow y.im 2))) (+ (* (/ (* y.im x.im) (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into (/ y.re (+ (pow y.im 2) (pow y.re 2))) 0.132 * [taylor]: Taking taylor expansion of (/ y.re (+ (pow y.im 2) (pow y.re 2))) in y.re 0.132 * [taylor]: Taking taylor expansion of y.re in y.re 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.132 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.132 * [taylor]: Taking taylor expansion of y.im in y.re 0.132 * [backup-simplify]: Simplify y.im into y.im 0.132 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.132 * [taylor]: Taking taylor expansion of y.re in y.re 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.132 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.132 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.132 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.132 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.im y.im) (/ 0 (pow y.im 2))))) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in x.im 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [taylor]: Taking taylor expansion of 0 in y.im 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.133 * [taylor]: Taking taylor expansion of y.im in y.im 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.134 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.135 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (- (/ 0 (+ (pow y.re 2) (pow y.im 2))) (+ (* (/ (* y.im x.im) (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))) (* (/ y.re (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y.re 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [taylor]: Taking taylor expansion of 0 in x.im 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [taylor]: Taking taylor expansion of 0 in y.im 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.136 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.136 * [taylor]: Taking taylor expansion of y.im in x.im 0.136 * [backup-simplify]: Simplify y.im into y.im 0.136 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.136 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.136 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.136 * [taylor]: Taking taylor expansion of y.im in y.im 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.139 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (+ 0 1) into 1 0.140 * [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))) 0.140 * [taylor]: Taking taylor expansion of (- (/ x.im (pow y.im 3))) in x.im 0.140 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 3)) in x.im 0.140 * [taylor]: Taking taylor expansion of x.im in x.im 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [taylor]: Taking taylor expansion of (pow y.im 3) in x.im 0.140 * [taylor]: Taking taylor expansion of y.im in x.im 0.140 * [backup-simplify]: Simplify y.im into y.im 0.140 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.140 * [backup-simplify]: Simplify (* y.im (pow y.im 2)) into (pow y.im 3) 0.140 * [backup-simplify]: Simplify (/ 1 (pow y.im 3)) into (/ 1 (pow y.im 3)) 0.140 * [taylor]: Taking taylor expansion of 0 in y.im 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in y.im 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [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.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0.141 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (x.re y.re x.im y.im) around 0 0.141 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.141 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.141 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.141 * [taylor]: Taking taylor expansion of y.im in y.im 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [backup-simplify]: Simplify 1 into 1 0.141 * [taylor]: Taking taylor expansion of x.im in y.im 0.141 * [backup-simplify]: Simplify x.im into x.im 0.141 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.141 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.141 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.141 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.141 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.141 * [taylor]: Taking taylor expansion of y.re in y.im 0.141 * [backup-simplify]: Simplify y.re into y.re 0.141 * [taylor]: Taking taylor expansion of x.re in y.im 0.141 * [backup-simplify]: Simplify x.re into x.re 0.141 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.141 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.142 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.142 * [taylor]: Taking taylor expansion of y.im in y.im 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (* 1 1) into 1 0.142 * [backup-simplify]: Simplify (/ 1 1) into 1 0.142 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 0.142 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.142 * [taylor]: Taking taylor expansion of y.re in y.im 0.142 * [backup-simplify]: Simplify y.re into y.re 0.142 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.142 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.142 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 0.143 * [backup-simplify]: Simplify (+ 1 0) into 1 0.143 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im) 0.143 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.143 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.143 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.143 * [taylor]: Taking taylor expansion of y.im in x.im 0.143 * [backup-simplify]: Simplify y.im into y.im 0.143 * [taylor]: Taking taylor expansion of x.im in x.im 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (* y.im 0) into 0 0.143 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.143 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.143 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.143 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.143 * [taylor]: Taking taylor expansion of y.re in x.im 0.143 * [backup-simplify]: Simplify y.re into y.re 0.143 * [taylor]: Taking taylor expansion of x.re in x.im 0.143 * [backup-simplify]: Simplify x.re into x.re 0.143 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.143 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.143 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.143 * [taylor]: Taking taylor expansion of y.im in x.im 0.143 * [backup-simplify]: Simplify y.im into y.im 0.143 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.144 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 0.144 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 0.144 * [taylor]: Taking taylor expansion of y.re in x.im 0.144 * [backup-simplify]: Simplify y.re into y.re 0.144 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.144 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.144 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 0.144 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.144 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 0.144 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.144 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.144 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.144 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.144 * [taylor]: Taking taylor expansion of y.im in y.re 0.144 * [backup-simplify]: Simplify y.im into y.im 0.144 * [taylor]: Taking taylor expansion of x.im in y.re 0.144 * [backup-simplify]: Simplify x.im into x.im 0.144 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.144 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.144 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.144 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.144 * [taylor]: Taking taylor expansion of y.re in y.re 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [taylor]: Taking taylor expansion of x.re in y.re 0.144 * [backup-simplify]: Simplify x.re into x.re 0.145 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.145 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.145 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.145 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.145 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.145 * [taylor]: Taking taylor expansion of y.im in y.re 0.145 * [backup-simplify]: Simplify y.im into y.im 0.145 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.145 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.145 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.145 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.145 * [taylor]: Taking taylor expansion of y.re in y.re 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.146 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 0.146 * [backup-simplify]: Simplify (+ 0 1) into 1 0.146 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re) 0.146 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.146 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.146 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.146 * [taylor]: Taking taylor expansion of y.im in x.re 0.146 * [backup-simplify]: Simplify y.im into y.im 0.146 * [taylor]: Taking taylor expansion of x.im in x.re 0.146 * [backup-simplify]: Simplify x.im into x.im 0.146 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.146 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.146 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.146 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.146 * [taylor]: Taking taylor expansion of y.re in x.re 0.146 * [backup-simplify]: Simplify y.re into y.re 0.146 * [taylor]: Taking taylor expansion of x.re in x.re 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* y.re 0) into 0 0.147 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.147 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.147 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.147 * [taylor]: Taking taylor expansion of y.im in x.re 0.147 * [backup-simplify]: Simplify y.im into y.im 0.147 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.147 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.147 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.147 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.147 * [taylor]: Taking taylor expansion of y.re in x.re 0.147 * [backup-simplify]: Simplify y.re into y.re 0.147 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.147 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.147 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.147 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.147 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) 0.147 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 0.147 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.148 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.148 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.148 * [taylor]: Taking taylor expansion of y.im in x.re 0.148 * [backup-simplify]: Simplify y.im into y.im 0.148 * [taylor]: Taking taylor expansion of x.im in x.re 0.148 * [backup-simplify]: Simplify x.im into x.im 0.148 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.148 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.148 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.148 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.148 * [taylor]: Taking taylor expansion of y.re in x.re 0.148 * [backup-simplify]: Simplify y.re into y.re 0.148 * [taylor]: Taking taylor expansion of x.re in x.re 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (* y.re 0) into 0 0.148 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.148 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.148 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.148 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.148 * [taylor]: Taking taylor expansion of y.im in x.re 0.148 * [backup-simplify]: Simplify y.im into y.im 0.148 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.148 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.148 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.148 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.148 * [taylor]: Taking taylor expansion of y.re in x.re 0.148 * [backup-simplify]: Simplify y.re into y.re 0.148 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.149 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.149 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.149 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.149 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) 0.149 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) in y.re 0.149 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re) in y.re 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.149 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.149 * [taylor]: Taking taylor expansion of y.im in y.re 0.149 * [backup-simplify]: Simplify y.im into y.im 0.149 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.149 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.149 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.149 * [taylor]: Taking taylor expansion of y.re in y.re 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (* 1 1) into 1 0.150 * [backup-simplify]: Simplify (/ 1 1) into 1 0.150 * [taylor]: Taking taylor expansion of y.re in y.re 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (+ 0 1) into 1 0.150 * [backup-simplify]: Simplify (* 1 0) into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.152 * [taylor]: Taking taylor expansion of 1 in x.im 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.153 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.153 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.153 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (- (/ (/ 1 (* y.im x.im)) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 0.154 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 0.154 * [taylor]: Taking taylor expansion of (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 0.154 * [taylor]: Taking taylor expansion of y.im in y.re 0.154 * [backup-simplify]: Simplify y.im into y.im 0.154 * [taylor]: Taking taylor expansion of (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.154 * [taylor]: Taking taylor expansion of x.im in y.re 0.154 * [backup-simplify]: Simplify x.im into x.im 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.154 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.154 * [taylor]: Taking taylor expansion of y.im in y.re 0.154 * [backup-simplify]: Simplify y.im into y.im 0.154 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.154 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.154 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.154 * [taylor]: Taking taylor expansion of y.re in y.re 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (* 1 1) into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [backup-simplify]: Simplify (+ 0 1) into 1 0.155 * [backup-simplify]: Simplify (* x.im 1) into x.im 0.155 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.155 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow y.im 2)) 0))) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [taylor]: Taking taylor expansion of 0 in x.im 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [taylor]: Taking taylor expansion of 1 in y.im 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.158 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.159 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.161 * [taylor]: Taking taylor expansion of 0 in y.re 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [taylor]: Taking taylor expansion of 0 in x.im 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.161 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.161 * [taylor]: Taking taylor expansion of y.im in x.im 0.161 * [backup-simplify]: Simplify y.im into y.im 0.161 * [taylor]: Taking taylor expansion of x.im in x.im 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* y.im 0) into 0 0.161 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.161 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.161 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.161 * [taylor]: Taking taylor expansion of y.im in y.im 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 1) (* 0 0)))) into (/ 1 (pow y.im 2)) 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 0.165 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.im 0.165 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.165 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.165 * [taylor]: Taking taylor expansion of y.im in x.im 0.165 * [backup-simplify]: Simplify y.im into y.im 0.165 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.165 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.165 * [taylor]: Taking taylor expansion of 0 in y.im 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [taylor]: Taking taylor expansion of 0 in y.im 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.166 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 0.168 * [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 0.168 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 0.168 * [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 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in y.re 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [taylor]: Taking taylor expansion of 0 in x.im 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [taylor]: Taking taylor expansion of 0 in x.im 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0 0.171 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.171 * [taylor]: Taking taylor expansion of 0 in x.im 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 0.175 * [taylor]: Taking taylor expansion of 0 in x.im 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [taylor]: Taking taylor expansion of 0 in y.im 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.176 * [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.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0.176 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (x.re y.re x.im y.im) around 0 0.176 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.176 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.176 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.176 * [taylor]: Taking taylor expansion of y.im in y.im 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of x.im in y.im 0.176 * [backup-simplify]: Simplify x.im into x.im 0.176 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.176 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.176 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.176 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.176 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.176 * [taylor]: Taking taylor expansion of y.re in y.im 0.176 * [backup-simplify]: Simplify y.re into y.re 0.176 * [taylor]: Taking taylor expansion of x.re in y.im 0.176 * [backup-simplify]: Simplify x.re into x.re 0.176 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.176 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.176 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.177 * [taylor]: Taking taylor expansion of y.im in y.im 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (* 1 1) into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 0.177 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.177 * [taylor]: Taking taylor expansion of y.re in y.im 0.177 * [backup-simplify]: Simplify y.re into y.re 0.177 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.177 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.177 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 0.178 * [backup-simplify]: Simplify (+ 1 0) into 1 0.178 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im) 0.178 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.178 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.178 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.178 * [taylor]: Taking taylor expansion of y.im in x.im 0.178 * [backup-simplify]: Simplify y.im into y.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 * [backup-simplify]: Simplify (* y.im 0) into 0 0.178 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.178 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.178 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.178 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.178 * [taylor]: Taking taylor expansion of y.re in x.im 0.178 * [backup-simplify]: Simplify y.re into y.re 0.178 * [taylor]: Taking taylor expansion of x.re in x.im 0.178 * [backup-simplify]: Simplify x.re into x.re 0.178 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.178 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.178 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 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 (* y.im y.im) into (pow y.im 2) 0.178 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 0.178 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 0.178 * [taylor]: Taking taylor expansion of y.re in x.im 0.179 * [backup-simplify]: Simplify y.re into y.re 0.179 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.179 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.179 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 0.179 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.179 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 0.179 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.179 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.179 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.179 * [taylor]: Taking taylor expansion of y.im in y.re 0.179 * [backup-simplify]: Simplify y.im into y.im 0.179 * [taylor]: Taking taylor expansion of x.im in y.re 0.179 * [backup-simplify]: Simplify x.im into x.im 0.179 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.179 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.179 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.179 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.179 * [taylor]: Taking taylor expansion of y.re in y.re 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [taylor]: Taking taylor expansion of x.re in y.re 0.179 * [backup-simplify]: Simplify x.re into x.re 0.179 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.180 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.180 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 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 (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.180 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 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 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 0.181 * [backup-simplify]: Simplify (+ 0 1) into 1 0.181 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re) 0.181 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.181 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.181 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.181 * [taylor]: Taking taylor expansion of y.im in x.re 0.181 * [backup-simplify]: Simplify y.im into y.im 0.181 * [taylor]: Taking taylor expansion of x.im in x.re 0.181 * [backup-simplify]: Simplify x.im into x.im 0.181 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.181 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.181 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.181 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.181 * [taylor]: Taking taylor expansion of y.re in x.re 0.181 * [backup-simplify]: Simplify y.re into y.re 0.181 * [taylor]: Taking taylor expansion of x.re in x.re 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (* y.re 0) into 0 0.181 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.182 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.182 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.182 * [taylor]: Taking taylor expansion of y.im in x.re 0.182 * [backup-simplify]: Simplify y.im into y.im 0.182 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.182 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.182 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.182 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.182 * [taylor]: Taking taylor expansion of y.re in x.re 0.182 * [backup-simplify]: Simplify y.re into y.re 0.182 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.182 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.182 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.182 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.182 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) 0.182 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 0.182 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.182 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.182 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.182 * [taylor]: Taking taylor expansion of y.im in x.re 0.182 * [backup-simplify]: Simplify y.im into y.im 0.182 * [taylor]: Taking taylor expansion of x.im in x.re 0.183 * [backup-simplify]: Simplify x.im into x.im 0.183 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.183 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.183 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.183 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.183 * [taylor]: Taking taylor expansion of y.re in x.re 0.183 * [backup-simplify]: Simplify y.re into y.re 0.183 * [taylor]: Taking taylor expansion of x.re in x.re 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 1 into 1 0.183 * [backup-simplify]: Simplify (* y.re 0) into 0 0.183 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.183 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.183 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.183 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.183 * [taylor]: Taking taylor expansion of y.im in x.re 0.183 * [backup-simplify]: Simplify y.im into y.im 0.183 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.183 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.183 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.183 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.183 * [taylor]: Taking taylor expansion of y.re in x.re 0.183 * [backup-simplify]: Simplify y.re into y.re 0.183 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.183 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.183 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.184 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.184 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) 0.184 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) in y.re 0.184 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re) in y.re 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.184 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.184 * [taylor]: Taking taylor expansion of y.im in y.re 0.184 * [backup-simplify]: Simplify y.im into y.im 0.184 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.184 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.184 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.184 * [taylor]: Taking taylor expansion of y.re in y.re 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [taylor]: Taking taylor expansion of y.re in y.re 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify (+ 0 1) into 1 0.185 * [backup-simplify]: Simplify (* 1 0) into 0 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [taylor]: Taking taylor expansion of 1 in x.im 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.187 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.187 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.188 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (- (/ (/ 1 (* y.im x.im)) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 0.189 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 0.189 * [taylor]: Taking taylor expansion of (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 0.189 * [taylor]: Taking taylor expansion of y.im in y.re 0.189 * [backup-simplify]: Simplify y.im into y.im 0.189 * [taylor]: Taking taylor expansion of (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.189 * [taylor]: Taking taylor expansion of x.im in y.re 0.189 * [backup-simplify]: Simplify x.im into x.im 0.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.189 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.189 * [taylor]: Taking taylor expansion of y.im in y.re 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 (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.189 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.189 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.189 * [taylor]: Taking taylor expansion of y.re in y.re 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (* 1 1) into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [backup-simplify]: Simplify (+ 0 1) into 1 0.190 * [backup-simplify]: Simplify (* x.im 1) into x.im 0.190 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.190 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow y.im 2)) 0))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.192 * [taylor]: Taking taylor expansion of 0 in x.im 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [taylor]: Taking taylor expansion of 1 in y.im 0.192 * [backup-simplify]: Simplify 1 into 1 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.193 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.194 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in y.re 0.195 * [backup-simplify]: Simplify 0 into 0 0.196 * [taylor]: Taking taylor expansion of 0 in x.im 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.196 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.196 * [taylor]: Taking taylor expansion of y.im in x.im 0.196 * [backup-simplify]: Simplify y.im into y.im 0.196 * [taylor]: Taking taylor expansion of x.im in x.im 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* y.im 0) into 0 0.196 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.196 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.196 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.196 * [taylor]: Taking taylor expansion of y.im in y.im 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 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 1) (* 0 0)))) into (/ 1 (pow y.im 2)) 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 0.202 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.im 0.202 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.202 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.202 * [taylor]: Taking taylor expansion of y.im in x.im 0.202 * [backup-simplify]: Simplify y.im into y.im 0.202 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.202 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.202 * [taylor]: Taking taylor expansion of 0 in y.im 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [taylor]: Taking taylor expansion of 0 in y.im 0.202 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.204 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 0.205 * [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 0.205 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 0.206 * [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 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (- (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (+ (* (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.207 * [taylor]: Taking taylor expansion of 0 in y.re 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [taylor]: Taking taylor expansion of 0 in x.im 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [taylor]: Taking taylor expansion of 0 in x.im 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0 0.208 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.208 * [taylor]: Taking taylor expansion of 0 in x.im 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 0.212 * [taylor]: Taking taylor expansion of 0 in x.im 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [taylor]: Taking taylor expansion of 0 in y.im 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * * * * [progress]: [ 2 / 3 ] generating series at (2 1) 0.212 * [backup-simplify]: Simplify (+ (* x.re y.re) (* x.im y.im)) into (+ (* y.re x.re) (* y.im x.im)) 0.212 * [approximate]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in (x.re y.re x.im y.im) around 0 0.212 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 0.212 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.212 * [taylor]: Taking taylor expansion of y.re in y.im 0.212 * [backup-simplify]: Simplify y.re into y.re 0.212 * [taylor]: Taking taylor expansion of x.re in y.im 0.212 * [backup-simplify]: Simplify x.re into x.re 0.212 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.213 * [taylor]: Taking taylor expansion of y.im in y.im 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [taylor]: Taking taylor expansion of x.im in y.im 0.213 * [backup-simplify]: Simplify x.im into x.im 0.213 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 0.213 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.213 * [taylor]: Taking taylor expansion of y.re in x.im 0.213 * [backup-simplify]: Simplify y.re into y.re 0.213 * [taylor]: Taking taylor expansion of x.re in x.im 0.213 * [backup-simplify]: Simplify x.re into x.re 0.213 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.213 * [taylor]: Taking taylor expansion of y.im in x.im 0.213 * [backup-simplify]: Simplify y.im into y.im 0.213 * [taylor]: Taking taylor expansion of x.im in x.im 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 0.213 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.213 * [taylor]: Taking taylor expansion of y.re in y.re 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [taylor]: Taking taylor expansion of x.re in y.re 0.213 * [backup-simplify]: Simplify x.re into x.re 0.213 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.213 * [taylor]: Taking taylor expansion of y.im in y.re 0.213 * [backup-simplify]: Simplify y.im into y.im 0.213 * [taylor]: Taking taylor expansion of x.im in y.re 0.213 * [backup-simplify]: Simplify x.im into x.im 0.213 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 0.213 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.213 * [taylor]: Taking taylor expansion of y.re in x.re 0.213 * [backup-simplify]: Simplify y.re into y.re 0.213 * [taylor]: Taking taylor expansion of x.re in x.re 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.213 * [taylor]: Taking taylor expansion of y.im in x.re 0.213 * [backup-simplify]: Simplify y.im into y.im 0.213 * [taylor]: Taking taylor expansion of x.im in x.re 0.213 * [backup-simplify]: Simplify x.im into x.im 0.213 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 0.213 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.213 * [taylor]: Taking taylor expansion of y.re in x.re 0.213 * [backup-simplify]: Simplify y.re into y.re 0.213 * [taylor]: Taking taylor expansion of x.re in x.re 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.213 * [taylor]: Taking taylor expansion of y.im in x.re 0.213 * [backup-simplify]: Simplify y.im into y.im 0.213 * [taylor]: Taking taylor expansion of x.im in x.re 0.213 * [backup-simplify]: Simplify x.im into x.im 0.213 * [backup-simplify]: Simplify (* y.re 0) into 0 0.213 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.213 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 0.213 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.213 * [taylor]: Taking taylor expansion of y.im in y.re 0.213 * [backup-simplify]: Simplify y.im into y.im 0.213 * [taylor]: Taking taylor expansion of x.im in y.re 0.213 * [backup-simplify]: Simplify x.im into x.im 0.214 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.214 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.214 * [taylor]: Taking taylor expansion of y.im in x.im 0.214 * [backup-simplify]: Simplify y.im into y.im 0.214 * [taylor]: Taking taylor expansion of x.im in x.im 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* y.im 0) into 0 0.214 * [taylor]: Taking taylor expansion of 0 in y.im 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.214 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.214 * [backup-simplify]: Simplify (+ y.re 0) into y.re 0.214 * [taylor]: Taking taylor expansion of y.re in y.re 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [taylor]: Taking taylor expansion of 0 in x.im 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [taylor]: Taking taylor expansion of 0 in y.im 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.214 * [taylor]: Taking taylor expansion of 0 in x.im 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [taylor]: Taking taylor expansion of 0 in y.im 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.215 * [taylor]: Taking taylor expansion of y.im in y.im 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.215 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [taylor]: Taking taylor expansion of 0 in y.re 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [taylor]: Taking taylor expansion of 0 in x.im 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [taylor]: Taking taylor expansion of 0 in y.im 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 0.216 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.re y.re x.im y.im) around 0 0.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.216 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.216 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.216 * [taylor]: Taking taylor expansion of y.im in y.im 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 1 into 1 0.216 * [taylor]: Taking taylor expansion of x.im in y.im 0.216 * [backup-simplify]: Simplify x.im into x.im 0.216 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.216 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.216 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.216 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.216 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.216 * [taylor]: Taking taylor expansion of y.re in y.im 0.216 * [backup-simplify]: Simplify y.re into y.re 0.216 * [taylor]: Taking taylor expansion of x.re in y.im 0.216 * [backup-simplify]: Simplify x.re into x.re 0.216 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.217 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.217 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.217 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.217 * [taylor]: Taking taylor expansion of y.im in x.im 0.217 * [backup-simplify]: Simplify y.im into y.im 0.217 * [taylor]: Taking taylor expansion of x.im in x.im 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [backup-simplify]: Simplify (* y.im 0) into 0 0.217 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.217 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.217 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.217 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.217 * [taylor]: Taking taylor expansion of y.re in x.im 0.217 * [backup-simplify]: Simplify y.re into y.re 0.217 * [taylor]: Taking taylor expansion of x.re in x.im 0.217 * [backup-simplify]: Simplify x.re into x.re 0.217 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.217 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.217 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.217 * [taylor]: Taking taylor expansion of (* y.im x.im) 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 * [taylor]: Taking taylor expansion of x.im in y.re 0.217 * [backup-simplify]: Simplify x.im into x.im 0.217 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.217 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.217 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.217 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.217 * [taylor]: Taking taylor expansion of y.re in y.re 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.217 * [taylor]: Taking taylor expansion of x.re in y.re 0.217 * [backup-simplify]: Simplify x.re into x.re 0.218 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.218 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.218 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.218 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.218 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.218 * [taylor]: Taking taylor expansion of y.im in x.re 0.218 * [backup-simplify]: Simplify y.im into y.im 0.218 * [taylor]: Taking taylor expansion of x.im in x.re 0.218 * [backup-simplify]: Simplify x.im 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)) 0.218 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.218 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.218 * [taylor]: Taking taylor expansion of y.re in x.re 0.218 * [backup-simplify]: Simplify y.re into y.re 0.218 * [taylor]: Taking taylor expansion of x.re in x.re 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* y.re 0) into 0 0.218 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.218 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.218 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.218 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.219 * [taylor]: Taking taylor expansion of y.im in x.re 0.219 * [backup-simplify]: Simplify y.im into y.im 0.219 * [taylor]: Taking taylor expansion of x.im in x.re 0.219 * [backup-simplify]: Simplify x.im into x.im 0.219 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.219 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.219 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.219 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.219 * [taylor]: Taking taylor expansion of y.re in x.re 0.219 * [backup-simplify]: Simplify y.re into y.re 0.219 * [taylor]: Taking taylor expansion of x.re in x.re 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (* y.re 0) into 0 0.219 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.219 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.219 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.219 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.219 * [taylor]: Taking taylor expansion of y.re in y.re 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (/ 1 1) into 1 0.219 * [taylor]: Taking taylor expansion of 1 in x.im 0.219 * [backup-simplify]: Simplify 1 into 1 0.220 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.220 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.220 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.220 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.220 * [taylor]: Taking taylor expansion of y.im in y.re 0.220 * [backup-simplify]: Simplify y.im into y.im 0.220 * [taylor]: Taking taylor expansion of x.im in y.re 0.220 * [backup-simplify]: Simplify x.im into x.im 0.220 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.220 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 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 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.221 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [taylor]: Taking taylor expansion of 0 in y.re 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.222 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.222 * [taylor]: Taking taylor expansion of y.im in x.im 0.222 * [backup-simplify]: Simplify y.im into y.im 0.222 * [taylor]: Taking taylor expansion of x.im in x.im 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (* y.im 0) into 0 0.222 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.222 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.222 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.222 * [taylor]: Taking taylor expansion of y.im in y.im 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [taylor]: Taking taylor expansion of 0 in x.im 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [taylor]: Taking taylor expansion of 0 in y.im 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [taylor]: Taking taylor expansion of 0 in y.im 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.225 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [taylor]: Taking taylor expansion of 0 in y.re 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [taylor]: Taking taylor expansion of 0 in x.im 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.225 * [taylor]: Taking taylor expansion of 0 in x.im 0.225 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.226 * [taylor]: Taking taylor expansion of 0 in x.im 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 0.226 * [taylor]: Taking taylor expansion of 0 in y.im 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [taylor]: Taking taylor expansion of 0 in y.im 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [taylor]: Taking taylor expansion of 0 in y.im 0.226 * [backup-simplify]: Simplify 0 into 0 0.226 * [taylor]: Taking taylor expansion of 0 in y.im 0.226 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 0.228 * [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 0.228 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.228 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [taylor]: Taking taylor expansion of 0 in y.re 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [taylor]: Taking taylor expansion of 0 in x.im 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [taylor]: Taking taylor expansion of 0 in x.im 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.229 * [taylor]: Taking taylor expansion of 0 in x.im 0.229 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.230 * [taylor]: Taking taylor expansion of 0 in x.im 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [taylor]: Taking taylor expansion of 0 in y.im 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [taylor]: Taking taylor expansion of 0 in y.im 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [taylor]: Taking taylor expansion of 0 in y.im 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 0.231 * [taylor]: Taking taylor expansion of 0 in y.im 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [taylor]: Taking taylor expansion of 0 in y.im 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [taylor]: Taking taylor expansion of 0 in y.im 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [taylor]: Taking taylor expansion of 0 in y.im 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [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.re x.re) (* y.im x.im)) 0.231 * [backup-simplify]: Simplify (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 0.232 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.re y.re x.im y.im) around 0 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.232 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.232 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.232 * [taylor]: Taking taylor expansion of y.im in y.im 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [taylor]: Taking taylor expansion of x.im in y.im 0.232 * [backup-simplify]: Simplify x.im into x.im 0.232 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.232 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.232 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.232 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.232 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.232 * [taylor]: Taking taylor expansion of y.re in y.im 0.232 * [backup-simplify]: Simplify y.re into y.re 0.232 * [taylor]: Taking taylor expansion of x.re in y.im 0.232 * [backup-simplify]: Simplify x.re into x.re 0.232 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.232 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.232 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.232 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.232 * [taylor]: Taking taylor expansion of y.im in x.im 0.232 * [backup-simplify]: Simplify y.im into y.im 0.232 * [taylor]: Taking taylor expansion of x.im in x.im 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 1 into 1 0.232 * [backup-simplify]: Simplify (* y.im 0) into 0 0.233 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.233 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.233 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.233 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.233 * [taylor]: Taking taylor expansion of y.re in x.im 0.233 * [backup-simplify]: Simplify y.re into y.re 0.233 * [taylor]: Taking taylor expansion of x.re in x.im 0.233 * [backup-simplify]: Simplify x.re into x.re 0.233 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.233 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.233 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.233 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.233 * [taylor]: Taking taylor expansion of y.im in y.re 0.233 * [backup-simplify]: Simplify y.im into y.im 0.233 * [taylor]: Taking taylor expansion of x.im in y.re 0.233 * [backup-simplify]: Simplify x.im into x.im 0.233 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.233 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.233 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.233 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.233 * [taylor]: Taking taylor expansion of y.re in y.re 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of x.re in y.re 0.233 * [backup-simplify]: Simplify x.re into x.re 0.233 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.233 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.233 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.233 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.233 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.233 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.234 * [taylor]: Taking taylor expansion of y.im in x.re 0.234 * [backup-simplify]: Simplify y.im into y.im 0.234 * [taylor]: Taking taylor expansion of x.im in x.re 0.234 * [backup-simplify]: Simplify x.im into x.im 0.234 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.234 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.234 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.234 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.234 * [taylor]: Taking taylor expansion of y.re in x.re 0.234 * [backup-simplify]: Simplify y.re into y.re 0.234 * [taylor]: Taking taylor expansion of x.re in x.re 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (* y.re 0) into 0 0.234 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.234 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.234 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.234 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.234 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.234 * [taylor]: Taking taylor expansion of y.im in x.re 0.234 * [backup-simplify]: Simplify y.im into y.im 0.234 * [taylor]: Taking taylor expansion of x.im in x.re 0.234 * [backup-simplify]: Simplify x.im into x.im 0.234 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.234 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.234 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.234 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.234 * [taylor]: Taking taylor expansion of y.re in x.re 0.234 * [backup-simplify]: Simplify y.re into y.re 0.234 * [taylor]: Taking taylor expansion of x.re in x.re 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (* y.re 0) into 0 0.235 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.235 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.235 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.235 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.235 * [taylor]: Taking taylor expansion of y.re in y.re 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.235 * [backup-simplify]: Simplify (/ 1 1) into 1 0.235 * [taylor]: Taking taylor expansion of 1 in x.im 0.235 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.236 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.236 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.236 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.236 * [taylor]: Taking taylor expansion of y.im in y.re 0.236 * [backup-simplify]: Simplify y.im into y.im 0.236 * [taylor]: Taking taylor expansion of x.im in y.re 0.236 * [backup-simplify]: Simplify x.im into x.im 0.236 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.236 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.236 * [taylor]: Taking taylor expansion of 0 in x.im 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [taylor]: Taking taylor expansion of 1 in y.im 0.236 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.237 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.237 * [backup-simplify]: Simplify (+ 0 0) into 0 0.237 * [taylor]: Taking taylor expansion of 0 in y.re 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.237 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.237 * [taylor]: Taking taylor expansion of y.im in x.im 0.237 * [backup-simplify]: Simplify y.im into y.im 0.237 * [taylor]: Taking taylor expansion of x.im in x.im 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* y.im 0) into 0 0.238 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.238 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.238 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.238 * [taylor]: Taking taylor expansion of y.im in y.im 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.239 * [taylor]: Taking taylor expansion of 0 in x.im 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [taylor]: Taking taylor expansion of 0 in y.im 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [taylor]: Taking taylor expansion of 0 in y.im 0.239 * [backup-simplify]: Simplify 0 into 0 0.239 * [backup-simplify]: Simplify 1 into 1 0.239 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.240 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [taylor]: Taking taylor expansion of 0 in y.re 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [taylor]: Taking taylor expansion of 0 in x.im 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.240 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.240 * [taylor]: Taking taylor expansion of 0 in x.im 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.241 * [taylor]: Taking taylor expansion of 0 in x.im 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 0.241 * [taylor]: Taking taylor expansion of 0 in y.im 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [taylor]: Taking taylor expansion of 0 in y.im 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [taylor]: Taking taylor expansion of 0 in y.im 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [taylor]: Taking taylor expansion of 0 in y.im 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 0.243 * [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 0.243 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.244 * [backup-simplify]: Simplify (+ 0 0) 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 0.244 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.244 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) 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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.245 * [taylor]: Taking taylor expansion of 0 in x.im 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [taylor]: Taking taylor expansion of 0 in y.im 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [taylor]: Taking taylor expansion of 0 in y.im 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [taylor]: Taking taylor expansion of 0 in y.im 0.245 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 0.246 * [taylor]: Taking taylor expansion of 0 in y.im 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [taylor]: Taking taylor expansion of 0 in y.im 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [taylor]: Taking taylor expansion of 0 in y.im 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [taylor]: Taking taylor expansion of 0 in y.im 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [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.re x.re) (* y.im x.im)) 0.246 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.247 * [backup-simplify]: Simplify (+ (* y.re y.re) (* y.im y.im)) into (+ (pow y.im 2) (pow y.re 2)) 0.247 * [approximate]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in (y.re y.im) around 0 0.247 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 0.247 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.247 * [taylor]: Taking taylor expansion of y.im in y.im 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.247 * [taylor]: Taking taylor expansion of y.re in y.im 0.247 * [backup-simplify]: Simplify y.re into y.re 0.247 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.247 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.247 * [taylor]: Taking taylor expansion of y.im in y.re 0.247 * [backup-simplify]: Simplify y.im into y.im 0.247 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.247 * [taylor]: Taking taylor expansion of y.re in y.re 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.247 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.247 * [taylor]: Taking taylor expansion of y.im in y.re 0.247 * [backup-simplify]: Simplify y.im into y.im 0.247 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.247 * [taylor]: Taking taylor expansion of y.re in y.re 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.247 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.247 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.247 * [taylor]: Taking taylor expansion of y.im in y.im 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [taylor]: Taking taylor expansion of 0 in y.im 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.248 * [backup-simplify]: Simplify (* 1 1) into 1 0.248 * [backup-simplify]: Simplify (+ 0 1) into 1 0.248 * [taylor]: Taking taylor expansion of 1 in y.im 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify (* 1 1) into 1 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.250 * [backup-simplify]: Simplify (+ 0 0) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in y.im 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im))))) into 0 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [taylor]: Taking taylor expansion of 0 in y.im 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (+ (* 1 (pow (* y.im 1) 2)) (* 1 (pow (* 1 y.re) 2))) into (+ (pow y.re 2) (pow y.im 2)) 0.252 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.252 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in (y.re y.im) around 0 0.252 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 0.252 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.252 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.252 * [taylor]: Taking taylor expansion of y.im in y.im 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (* 1 1) into 1 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 0.253 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.253 * [taylor]: Taking taylor expansion of y.re in y.im 0.253 * [backup-simplify]: Simplify y.re into y.re 0.253 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.253 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.253 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.253 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.253 * [taylor]: Taking taylor expansion of y.im in y.re 0.253 * [backup-simplify]: Simplify y.im into y.im 0.253 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.253 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.253 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.253 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.253 * [taylor]: Taking taylor expansion of y.re in y.re 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (* 1 1) into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.254 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.254 * [taylor]: Taking taylor expansion of y.im in y.re 0.254 * [backup-simplify]: Simplify y.im into y.im 0.254 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.254 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.254 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.254 * [taylor]: Taking taylor expansion of y.re in y.re 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (* 1 1) into 1 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (+ 0 1) into 1 0.255 * [taylor]: Taking taylor expansion of 1 in y.im 0.255 * [backup-simplify]: Simplify 1 into 1 0.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [taylor]: Taking taylor expansion of 0 in y.im 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 0.257 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.257 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.257 * [taylor]: Taking taylor expansion of y.im in y.im 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [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 1 into 1 0.257 * [backup-simplify]: Simplify 1 into 1 0.258 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [taylor]: Taking taylor expansion of 0 in y.im 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.261 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [taylor]: Taking taylor expansion of 0 in y.im 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 y.re))) 2)) (* 1 (pow (* (/ 1 (/ 1 y.im)) 1) 2))) into (+ (pow y.im 2) (pow y.re 2)) 0.263 * [backup-simplify]: Simplify (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.263 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in (y.re y.im) around 0 0.263 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.263 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.263 * [taylor]: Taking taylor expansion of y.im in y.im 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (* 1 1) into 1 0.264 * [backup-simplify]: Simplify (/ 1 1) into 1 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 0.264 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.264 * [taylor]: Taking taylor expansion of y.re in y.im 0.264 * [backup-simplify]: Simplify y.re into y.re 0.264 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.264 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.264 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.264 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.264 * [taylor]: Taking taylor expansion of y.im in y.re 0.264 * [backup-simplify]: Simplify y.im into y.im 0.264 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.264 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.264 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.264 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.264 * [taylor]: Taking taylor expansion of y.re in y.re 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (* 1 1) into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.265 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.265 * [taylor]: Taking taylor expansion of y.im in y.re 0.265 * [backup-simplify]: Simplify y.im into y.im 0.265 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.265 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.265 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.265 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.265 * [taylor]: Taking taylor expansion of y.re in y.re 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (* 1 1) into 1 0.266 * [backup-simplify]: Simplify (/ 1 1) into 1 0.266 * [backup-simplify]: Simplify (+ 0 1) into 1 0.266 * [taylor]: Taking taylor expansion of 1 in y.im 0.266 * [backup-simplify]: Simplify 1 into 1 0.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [taylor]: Taking taylor expansion of 0 in y.im 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.268 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.268 * [taylor]: Taking taylor expansion of y.im in y.im 0.268 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify 1 into 1 0.268 * [backup-simplify]: Simplify (* 1 1) into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.269 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (+ 0 0) into 0 0.270 * [taylor]: Taking taylor expansion of 0 in y.im 0.270 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.272 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (+ 0 0) into 0 0.273 * [taylor]: Taking taylor expansion of 0 in y.im 0.273 * [backup-simplify]: Simplify 0 into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- y.re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- y.im))) 1) 2))) into (+ (pow y.im 2) (pow y.re 2)) 0.274 * * * [progress]: simplifying candidates 0.275 * [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)) (* (exp (* y.re y.re)) (exp (* y.im y.im))) (log (+ (* y.re y.re) (* y.im y.im))) (exp (+ (* y.re y.re) (* y.im y.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* y.re y.re) (* y.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))) (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)) (+ (* (* y.re y.re) (* y.re y.re)) (- (* (* y.im y.im) (* y.im y.im)) (* (* y.re y.re) (* y.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)) 0 0 0 0 (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.re 2) (pow y.im 2)) (+ (pow y.im 2) (pow y.re 2)) (+ (pow y.im 2) (pow y.re 2)) 0.276 * [simplify]: Sending expressions to egg_math: (- (log (+ (* h0 h1) (* h2 h3))) (log (+ (* h1 h1) (* h3 h3)))) (log (/ (+ (* h0 h1) (* h2 h3)) (+ (* h1 h1) (* h3 h3)))) (exp (/ (+ (* h0 h1) (* h2 h3)) (+ (* h1 h1) (* h3 h3)))) (/ (* (* (+ (* h0 h1) (* h2 h3)) (+ (* h0 h1) (* h2 h3))) (+ (* h0 h1) (* h2 h3))) (* (* (+ (* h1 h1) (* h3 h3)) (+ (* h1 h1) (* h3 h3))) (+ (* h1 h1) (* h3 h3)))) (* (cbrt (/ (+ (* h0 h1) (* h2 h3)) (+ (* h1 h1) (* h3 h3)))) (cbrt (/ (+ (* h0 h1) (* h2 h3)) (+ (* h1 h1) (* h3 h3))))) (cbrt (/ (+ (* h0 h1) (* h2 h3)) (+ (* h1 h1) (* h3 h3)))) (* (* (/ (+ (* h0 h1) (* h2 h3)) (+ (* h1 h1) (* h3 h3))) (/ (+ (* h0 h1) (* h2 h3)) (+ (* h1 h1) (* h3 h3)))) (/ (+ (* h0 h1) (* h2 h3)) (+ (* h1 h1) (* h3 h3)))) (sqrt (/ (+ (* h0 h1) (* h2 h3)) (+ (* h1 h1) (* h3 h3)))) (sqrt (/ (+ (* h0 h1) (* h2 h3)) (+ (* h1 h1) (* h3 h3)))) (- (+ (* h0 h1) (* h2 h3))) (- (+ (* h1 h1) (* h3 h3))) (/ (* (cbrt (+ (* h0 h1) (* h2 h3))) (cbrt (+ (* h0 h1) (* h2 h3)))) (* (cbrt (+ (* h1 h1) (* h3 h3))) (cbrt (+ (* h1 h1) (* h3 h3))))) (/ (cbrt (+ (* h0 h1) (* h2 h3))) (cbrt (+ (* h1 h1) (* h3 h3)))) (/ (* (cbrt (+ (* h0 h1) (* h2 h3))) (cbrt (+ (* h0 h1) (* h2 h3)))) (sqrt (+ (* h1 h1) (* h3 h3)))) (/ (cbrt (+ (* h0 h1) (* h2 h3))) (sqrt (+ (* h1 h1) (* h3 h3)))) (/ (* (cbrt (+ (* h0 h1) (* h2 h3))) (cbrt (+ (* h0 h1) (* h2 h3)))) 1) (/ (cbrt (+ (* h0 h1) (* h2 h3))) (+ (* h1 h1) (* h3 h3))) (/ (sqrt (+ (* h0 h1) (* h2 h3))) (* (cbrt (+ (* h1 h1) (* h3 h3))) (cbrt (+ (* h1 h1) (* h3 h3))))) (/ (sqrt (+ (* h0 h1) (* h2 h3))) (cbrt (+ (* h1 h1) (* h3 h3)))) (/ (sqrt (+ (* h0 h1) (* h2 h3))) (sqrt (+ (* h1 h1) (* h3 h3)))) (/ (sqrt (+ (* h0 h1) (* h2 h3))) (sqrt (+ (* h1 h1) (* h3 h3)))) (/ (sqrt (+ (* h0 h1) (* h2 h3))) 1) (/ (sqrt (+ (* h0 h1) (* h2 h3))) (+ (* h1 h1) (* h3 h3))) (/ 1 (* (cbrt (+ (* h1 h1) (* h3 h3))) (cbrt (+ (* h1 h1) (* h3 h3))))) (/ (+ (* h0 h1) (* h2 h3)) (cbrt (+ (* h1 h1) (* h3 h3)))) (/ 1 (sqrt (+ (* h1 h1) (* h3 h3)))) (/ (+ (* h0 h1) (* h2 h3)) (sqrt (+ (* h1 h1) (* h3 h3)))) (/ 1 1) (/ (+ (* h0 h1) (* h2 h3)) (+ (* h1 h1) (* h3 h3))) (/ 1 (+ (* h1 h1) (* h3 h3))) (/ (+ (* h1 h1) (* h3 h3)) (+ (* h0 h1) (* h2 h3))) (/ (+ (* h0 h1) (* h2 h3)) (* (cbrt (+ (* h1 h1) (* h3 h3))) (cbrt (+ (* h1 h1) (* h3 h3))))) (/ (+ (* h0 h1) (* h2 h3)) (sqrt (+ (* h1 h1) (* h3 h3)))) (/ (+ (* h0 h1) (* h2 h3)) 1) (/ (+ (* h1 h1) (* h3 h3)) (cbrt (+ (* h0 h1) (* h2 h3)))) (/ (+ (* h1 h1) (* h3 h3)) (sqrt (+ (* h0 h1) (* h2 h3)))) (/ (+ (* h1 h1) (* h3 h3)) (+ (* h0 h1) (* h2 h3))) (/ (+ (* h0 h1) (* h2 h3)) (+ (pow (* h1 h1) 3) (pow (* h3 h3) 3))) (/ (+ (* h0 h1) (* h2 h3)) (- (* (* h1 h1) (* h1 h1)) (* (* h3 h3) (* h3 h3)))) (* (+ (* h1 h1) (* h3 h3)) (+ (* (* h0 h1) (* h0 h1)) (- (* (* h2 h3) (* h2 h3)) (* (* h0 h1) (* h2 h3))))) (* (+ (* h1 h1) (* h3 h3)) (- (* h0 h1) (* h2 h3))) (* (exp (* h0 h1)) (exp (* h2 h3))) (log (+ (* h0 h1) (* h2 h3))) (exp (+ (* h0 h1) (* h2 h3))) (* (cbrt (+ (* h0 h1) (* h2 h3))) (cbrt (+ (* h0 h1) (* h2 h3)))) (cbrt (+ (* h0 h1) (* h2 h3))) (* (* (+ (* h0 h1) (* h2 h3)) (+ (* h0 h1) (* h2 h3))) (+ (* h0 h1) (* h2 h3))) (sqrt (+ (* h0 h1) (* h2 h3))) (sqrt (+ (* h0 h1) (* h2 h3))) (+ (pow (* h0 h1) 3) (pow (* h2 h3) 3)) (+ (* (* h0 h1) (* h0 h1)) (- (* (* h2 h3) (* h2 h3)) (* (* h0 h1) (* h2 h3)))) (- (* (* h0 h1) (* h0 h1)) (* (* h2 h3) (* h2 h3))) (- (* h0 h1) (* h2 h3)) (* (exp (* h1 h1)) (exp (* h3 h3))) (log (+ (* h1 h1) (* h3 h3))) (exp (+ (* h1 h1) (* h3 h3))) (* (cbrt (+ (* h1 h1) (* h3 h3))) (cbrt (+ (* h1 h1) (* h3 h3)))) (cbrt (+ (* h1 h1) (* h3 h3))) (* (* (+ (* h1 h1) (* h3 h3)) (+ (* h1 h1) (* h3 h3))) (+ (* h1 h1) (* h3 h3))) (sqrt (+ (* h1 h1) (* h3 h3))) (sqrt (+ (* h1 h1) (* h3 h3))) (+ (pow (* h1 h1) 3) (pow (* h3 h3) 3)) (+ (* (* h1 h1) (* h1 h1)) (- (* (* h3 h3) (* h3 h3)) (* (* h1 h1) (* h3 h3)))) (- (* (* h1 h1) (* h1 h1)) (* (* h3 h3) (* h3 h3))) (- (* h1 h1) (* h3 h3)) 0 0 0 0 (+ (* h1 h0) (* h3 h2)) (+ (* h1 h0) (* h3 h2)) (+ (pow h1 2) (pow h3 2)) (+ (pow h3 2) (pow h1 2)) (+ (pow h3 2) (pow h1 2)) 0.280 * * [simplify]: iteration 0 : 272 enodes (cost 527 ) 0.285 * * [simplify]: iteration 1 : 1164 enodes (cost 479 ) 0.304 * * [simplify]: iteration 2 : 4451 enodes (cost 477 ) 0.396 * * [simplify]: iteration 3 : 5003 enodes (cost 477 ) 0.398 * * * [progress]: adding candidates to table 0.550 * * [progress]: iteration 2 / 4 0.550 * * * [progress]: picking best candidate 0.569 * * * * [pick]: Picked # 0.569 * * * [progress]: localizing error 0.581 * * * [progress]: generating rewritten candidates 0.581 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.589 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 0.596 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.630 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 1) 0.639 * * * [progress]: generating series expansions 0.639 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.640 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 0.640 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im) around 0 0.640 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 0.640 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 0.640 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.640 * [taylor]: Taking taylor expansion of y.im in y.im 0.640 * [backup-simplify]: Simplify 0 into 0 0.640 * [backup-simplify]: Simplify 1 into 1 0.640 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.640 * [taylor]: Taking taylor expansion of y.re in y.im 0.640 * [backup-simplify]: Simplify y.re into y.re 0.640 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.640 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 0.640 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 0.640 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.641 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 0.641 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.641 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.641 * [taylor]: Taking taylor expansion of y.im in y.re 0.641 * [backup-simplify]: Simplify y.im into y.im 0.641 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.641 * [taylor]: Taking taylor expansion of y.re in y.re 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 1 into 1 0.641 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.641 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.641 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 0.641 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.641 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 0.641 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.641 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.641 * [taylor]: Taking taylor expansion of y.im in y.re 0.642 * [backup-simplify]: Simplify y.im into y.im 0.642 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.642 * [taylor]: Taking taylor expansion of y.re in y.re 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.642 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.642 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.642 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 0.642 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.642 * [backup-simplify]: Simplify (+ 0 0) into 0 0.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 0.642 * [taylor]: Taking taylor expansion of y.im in y.im 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [taylor]: Taking taylor expansion of 0 in y.im 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 0 into 0 0.642 * [backup-simplify]: Simplify 1 into 1 0.643 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.643 * [backup-simplify]: Simplify (* 1 1) into 1 0.643 * [backup-simplify]: Simplify (+ 0 1) into 1 0.644 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 0.644 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im 0.644 * [taylor]: Taking taylor expansion of 1/2 in y.im 0.644 * [backup-simplify]: Simplify 1/2 into 1/2 0.644 * [taylor]: Taking taylor expansion of y.im in y.im 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 1 into 1 0.644 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify 0 into 0 0.645 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.646 * [backup-simplify]: Simplify (+ 0 0) into 0 0.646 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0 0.646 * [taylor]: Taking taylor expansion of 0 in y.im 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify 0 into 0 0.646 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im 0.647 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0.647 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 0.647 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 0.647 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.647 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.647 * [taylor]: Taking taylor expansion of y.im in y.im 0.647 * [backup-simplify]: Simplify 0 into 0 0.647 * [backup-simplify]: Simplify 1 into 1 0.647 * [backup-simplify]: Simplify (* 1 1) into 1 0.647 * [backup-simplify]: Simplify (/ 1 1) into 1 0.647 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 0.648 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.648 * [taylor]: Taking taylor expansion of y.re in y.im 0.648 * [backup-simplify]: Simplify y.re into y.re 0.648 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.648 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.648 * [backup-simplify]: Simplify (+ 1 0) into 1 0.648 * [backup-simplify]: Simplify (sqrt 1) into 1 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.649 * [backup-simplify]: Simplify (+ 0 0) into 0 0.650 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.650 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.650 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.650 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.650 * [taylor]: Taking taylor expansion of y.im in y.re 0.650 * [backup-simplify]: Simplify y.im into y.im 0.650 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.650 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.650 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.650 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.650 * [taylor]: Taking taylor expansion of y.re in y.re 0.650 * [backup-simplify]: Simplify 0 into 0 0.650 * [backup-simplify]: Simplify 1 into 1 0.650 * [backup-simplify]: Simplify (* 1 1) into 1 0.650 * [backup-simplify]: Simplify (/ 1 1) into 1 0.651 * [backup-simplify]: Simplify (+ 0 1) into 1 0.651 * [backup-simplify]: Simplify (sqrt 1) into 1 0.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify (+ 0 0) into 0 0.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.652 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.652 * [taylor]: Taking taylor expansion of y.im in y.re 0.652 * [backup-simplify]: Simplify y.im into y.im 0.652 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.652 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.652 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.652 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.653 * [taylor]: Taking taylor expansion of y.re in y.re 0.653 * [backup-simplify]: Simplify 0 into 0 0.653 * [backup-simplify]: Simplify 1 into 1 0.653 * [backup-simplify]: Simplify (* 1 1) into 1 0.653 * [backup-simplify]: Simplify (/ 1 1) into 1 0.653 * [backup-simplify]: Simplify (+ 0 1) into 1 0.653 * [backup-simplify]: Simplify (sqrt 1) into 1 0.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (+ 0 0) into 0 0.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.655 * [taylor]: Taking taylor expansion of 1 in y.im 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [taylor]: Taking taylor expansion of 0 in y.im 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 1 into 1 0.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.656 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 0.657 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 0.657 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 0.657 * [taylor]: Taking taylor expansion of 1/2 in y.im 0.657 * [backup-simplify]: Simplify 1/2 into 1/2 0.657 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.657 * [taylor]: Taking taylor expansion of y.im in y.im 0.657 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify (* 1 1) into 1 0.657 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.658 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.659 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.660 * [backup-simplify]: Simplify (+ 0 0) into 0 0.660 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 0.660 * [taylor]: Taking taylor expansion of 0 in y.im 0.660 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.661 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re 0.662 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0.662 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 0.662 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.662 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.662 * [taylor]: Taking taylor expansion of y.im in y.im 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (* 1 1) into 1 0.662 * [backup-simplify]: Simplify (/ 1 1) into 1 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 0.662 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.662 * [taylor]: Taking taylor expansion of y.re in y.im 0.662 * [backup-simplify]: Simplify y.re into y.re 0.662 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.662 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.663 * [backup-simplify]: Simplify (+ 1 0) into 1 0.663 * [backup-simplify]: Simplify (sqrt 1) into 1 0.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.664 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.664 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.664 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.664 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.664 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.664 * [taylor]: Taking taylor expansion of y.im in y.re 0.664 * [backup-simplify]: Simplify y.im into y.im 0.664 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.665 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.665 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.665 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.665 * [taylor]: Taking taylor expansion of y.re in y.re 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [backup-simplify]: Simplify (* 1 1) into 1 0.665 * [backup-simplify]: Simplify (/ 1 1) into 1 0.665 * [backup-simplify]: Simplify (+ 0 1) into 1 0.666 * [backup-simplify]: Simplify (sqrt 1) into 1 0.666 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.667 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.667 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.667 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.667 * [taylor]: Taking taylor expansion of y.im in y.re 0.667 * [backup-simplify]: Simplify y.im into y.im 0.667 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.667 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.667 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.667 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.667 * [taylor]: Taking taylor expansion of y.re in y.re 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify (* 1 1) into 1 0.668 * [backup-simplify]: Simplify (/ 1 1) into 1 0.668 * [backup-simplify]: Simplify (+ 0 1) into 1 0.668 * [backup-simplify]: Simplify (sqrt 1) into 1 0.669 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify (+ 0 0) into 0 0.670 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.670 * [taylor]: Taking taylor expansion of 1 in y.im 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [taylor]: Taking taylor expansion of 0 in y.im 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 1 into 1 0.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 0.672 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 0.672 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 0.672 * [taylor]: Taking taylor expansion of 1/2 in y.im 0.672 * [backup-simplify]: Simplify 1/2 into 1/2 0.672 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.672 * [taylor]: Taking taylor expansion of y.im in y.im 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.672 * [backup-simplify]: Simplify (* 1 1) into 1 0.672 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.673 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.673 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.674 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.675 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 0.675 * [taylor]: Taking taylor expansion of 0 in y.im 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.676 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re) 0.676 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 0.676 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 0.676 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im) around 0 0.676 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 0.676 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 0.676 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.676 * [taylor]: Taking taylor expansion of y.im in y.im 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 1 into 1 0.676 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.676 * [taylor]: Taking taylor expansion of y.re in y.im 0.676 * [backup-simplify]: Simplify y.re into y.re 0.677 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.677 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 0.677 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 0.677 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.677 * [backup-simplify]: Simplify (+ 0 0) into 0 0.677 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 0.677 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 0.677 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.677 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.677 * [taylor]: Taking taylor expansion of y.im in y.re 0.677 * [backup-simplify]: Simplify y.im into y.im 0.677 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.677 * [taylor]: Taking taylor expansion of y.re in y.re 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 1 into 1 0.677 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.677 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.677 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 0.678 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.678 * [backup-simplify]: Simplify (+ 0 0) into 0 0.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 0.678 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 0.678 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.678 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.678 * [taylor]: Taking taylor expansion of y.im in y.re 0.678 * [backup-simplify]: Simplify y.im into y.im 0.678 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.678 * [taylor]: Taking taylor expansion of y.re in y.re 0.678 * [backup-simplify]: Simplify 0 into 0 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.678 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.678 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 0.678 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.678 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 0.679 * [taylor]: Taking taylor expansion of y.im in y.im 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [taylor]: Taking taylor expansion of 0 in y.im 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify 1 into 1 0.679 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.679 * [backup-simplify]: Simplify (* 1 1) into 1 0.680 * [backup-simplify]: Simplify (+ 0 1) into 1 0.680 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 0.680 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im 0.680 * [taylor]: Taking taylor expansion of 1/2 in y.im 0.680 * [backup-simplify]: Simplify 1/2 into 1/2 0.680 * [taylor]: Taking taylor expansion of y.im in y.im 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.681 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify 0 into 0 0.681 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.682 * [backup-simplify]: Simplify (+ 0 0) into 0 0.682 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0 0.682 * [taylor]: Taking taylor expansion of 0 in y.im 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im 0.683 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0.683 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 0.683 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 0.683 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 0.683 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.683 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.683 * [taylor]: Taking taylor expansion of y.im in y.im 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [backup-simplify]: Simplify (* 1 1) into 1 0.683 * [backup-simplify]: Simplify (/ 1 1) into 1 0.684 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 0.684 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.684 * [taylor]: Taking taylor expansion of y.re in y.im 0.684 * [backup-simplify]: Simplify y.re into y.re 0.684 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.684 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.684 * [backup-simplify]: Simplify (+ 1 0) into 1 0.684 * [backup-simplify]: Simplify (sqrt 1) into 1 0.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.685 * [backup-simplify]: Simplify (+ 0 0) into 0 0.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.686 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.686 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.686 * [taylor]: Taking taylor expansion of y.im in y.re 0.686 * [backup-simplify]: Simplify y.im into y.im 0.686 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.686 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.686 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.686 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.686 * [taylor]: Taking taylor expansion of y.re in y.re 0.686 * [backup-simplify]: Simplify 0 into 0 0.686 * [backup-simplify]: Simplify 1 into 1 0.686 * [backup-simplify]: Simplify (* 1 1) into 1 0.686 * [backup-simplify]: Simplify (/ 1 1) into 1 0.687 * [backup-simplify]: Simplify (+ 0 1) into 1 0.687 * [backup-simplify]: Simplify (sqrt 1) into 1 0.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.688 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.688 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.688 * [taylor]: Taking taylor expansion of y.im in y.re 0.688 * [backup-simplify]: Simplify y.im into y.im 0.688 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.688 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.688 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.688 * [taylor]: Taking taylor expansion of y.re in y.re 0.689 * [backup-simplify]: Simplify 0 into 0 0.689 * [backup-simplify]: Simplify 1 into 1 0.689 * [backup-simplify]: Simplify (* 1 1) into 1 0.689 * [backup-simplify]: Simplify (/ 1 1) into 1 0.689 * [backup-simplify]: Simplify (+ 0 1) into 1 0.689 * [backup-simplify]: Simplify (sqrt 1) into 1 0.690 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.690 * [backup-simplify]: Simplify (+ 0 0) into 0 0.691 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.691 * [taylor]: Taking taylor expansion of 1 in y.im 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [taylor]: Taking taylor expansion of 0 in y.im 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.692 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 0.693 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 0.693 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 0.693 * [taylor]: Taking taylor expansion of 1/2 in y.im 0.693 * [backup-simplify]: Simplify 1/2 into 1/2 0.693 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.693 * [taylor]: Taking taylor expansion of y.im in y.im 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 1 into 1 0.693 * [backup-simplify]: Simplify (* 1 1) into 1 0.693 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.694 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify 0 into 0 0.694 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.695 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (+ 0 0) into 0 0.696 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 0.696 * [taylor]: Taking taylor expansion of 0 in y.im 0.696 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.697 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re 0.698 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0.698 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 0.698 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 0.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.698 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.698 * [taylor]: Taking taylor expansion of y.im in y.im 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.698 * [backup-simplify]: Simplify (* 1 1) into 1 0.698 * [backup-simplify]: Simplify (/ 1 1) into 1 0.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 0.698 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.698 * [taylor]: Taking taylor expansion of y.re in y.im 0.698 * [backup-simplify]: Simplify y.re into y.re 0.698 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.699 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.699 * [backup-simplify]: Simplify (+ 1 0) into 1 0.699 * [backup-simplify]: Simplify (sqrt 1) into 1 0.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.700 * [backup-simplify]: Simplify (+ 0 0) into 0 0.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.700 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.701 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.701 * [taylor]: Taking taylor expansion of y.im in y.re 0.701 * [backup-simplify]: Simplify y.im into y.im 0.701 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.701 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.701 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.701 * [taylor]: Taking taylor expansion of y.re in y.re 0.701 * [backup-simplify]: Simplify 0 into 0 0.701 * [backup-simplify]: Simplify 1 into 1 0.701 * [backup-simplify]: Simplify (* 1 1) into 1 0.701 * [backup-simplify]: Simplify (/ 1 1) into 1 0.701 * [backup-simplify]: Simplify (+ 0 1) into 1 0.702 * [backup-simplify]: Simplify (sqrt 1) into 1 0.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.703 * [backup-simplify]: Simplify (+ 0 0) into 0 0.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.703 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.703 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.703 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.703 * [taylor]: Taking taylor expansion of y.im in y.re 0.703 * [backup-simplify]: Simplify y.im into y.im 0.703 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.703 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.703 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.703 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.703 * [taylor]: Taking taylor expansion of y.re in y.re 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.704 * [backup-simplify]: Simplify (* 1 1) into 1 0.704 * [backup-simplify]: Simplify (/ 1 1) into 1 0.704 * [backup-simplify]: Simplify (+ 0 1) into 1 0.704 * [backup-simplify]: Simplify (sqrt 1) into 1 0.705 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.708 * [backup-simplify]: Simplify (+ 0 0) into 0 0.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.709 * [taylor]: Taking taylor expansion of 1 in y.im 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [taylor]: Taking taylor expansion of 0 in y.im 0.709 * [backup-simplify]: Simplify 0 into 0 0.709 * [backup-simplify]: Simplify 1 into 1 0.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.710 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 0.711 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 0.711 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 0.711 * [taylor]: Taking taylor expansion of 1/2 in y.im 0.711 * [backup-simplify]: Simplify 1/2 into 1/2 0.711 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.711 * [taylor]: Taking taylor expansion of y.im in y.im 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 1 into 1 0.711 * [backup-simplify]: Simplify (* 1 1) into 1 0.711 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.713 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.714 * [backup-simplify]: Simplify (+ 0 0) into 0 0.714 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 0.714 * [taylor]: Taking taylor expansion of 0 in y.im 0.714 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.715 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re) 0.715 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 0.716 * [backup-simplify]: Simplify (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) 0.716 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in (x.re y.re x.im y.im) around 0 0.716 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in y.im 0.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.im 0.716 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.im 0.716 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 0.716 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.716 * [taylor]: Taking taylor expansion of y.im in y.im 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 1 into 1 0.716 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.716 * [taylor]: Taking taylor expansion of y.re in y.im 0.716 * [backup-simplify]: Simplify y.re into y.re 0.716 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.716 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 0.716 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.716 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.re 2))) into (/ 1 y.re) 0.716 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.716 * [backup-simplify]: Simplify (+ 0 0) into 0 0.717 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 0.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.re 2))))) into 0 0.717 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 0.717 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.717 * [taylor]: Taking taylor expansion of y.re in y.im 0.717 * [backup-simplify]: Simplify y.re into y.re 0.717 * [taylor]: Taking taylor expansion of x.re in y.im 0.717 * [backup-simplify]: Simplify x.re into x.re 0.717 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.717 * [taylor]: Taking taylor expansion of y.im in y.im 0.717 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify 1 into 1 0.717 * [taylor]: Taking taylor expansion of x.im in y.im 0.717 * [backup-simplify]: Simplify x.im into x.im 0.717 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in x.im 0.717 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.im 0.717 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.im 0.717 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.im 0.717 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.717 * [taylor]: Taking taylor expansion of y.im in x.im 0.717 * [backup-simplify]: Simplify y.im into y.im 0.717 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 0.717 * [taylor]: Taking taylor expansion of y.re in x.im 0.717 * [backup-simplify]: Simplify y.re into y.re 0.717 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.717 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.717 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 0.717 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 0.718 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 0.718 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.718 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.718 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 0.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 0.719 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 0.719 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.719 * [taylor]: Taking taylor expansion of y.re in x.im 0.719 * [backup-simplify]: Simplify y.re into y.re 0.719 * [taylor]: Taking taylor expansion of x.re in x.im 0.719 * [backup-simplify]: Simplify x.re into x.re 0.719 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.719 * [taylor]: Taking taylor expansion of y.im in x.im 0.719 * [backup-simplify]: Simplify y.im into y.im 0.719 * [taylor]: Taking taylor expansion of x.im in x.im 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in y.re 0.719 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 0.719 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 0.719 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.719 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.719 * [taylor]: Taking taylor expansion of y.im in y.re 0.719 * [backup-simplify]: Simplify y.im into y.im 0.719 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.719 * [taylor]: Taking taylor expansion of y.re in y.re 0.719 * [backup-simplify]: Simplify 0 into 0 0.719 * [backup-simplify]: Simplify 1 into 1 0.719 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.719 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.719 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.719 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 0.719 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 0.720 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 0.720 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.720 * [taylor]: Taking taylor expansion of y.re in y.re 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.720 * [taylor]: Taking taylor expansion of x.re in y.re 0.720 * [backup-simplify]: Simplify x.re into x.re 0.720 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.720 * [taylor]: Taking taylor expansion of y.im in y.re 0.720 * [backup-simplify]: Simplify y.im into y.im 0.720 * [taylor]: Taking taylor expansion of x.im in y.re 0.720 * [backup-simplify]: Simplify x.im into x.im 0.720 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in x.re 0.720 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.re 0.720 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.re 0.720 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 0.720 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.720 * [taylor]: Taking taylor expansion of y.im in x.re 0.720 * [backup-simplify]: Simplify y.im into y.im 0.720 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.720 * [taylor]: Taking taylor expansion of y.re in x.re 0.720 * [backup-simplify]: Simplify y.re into y.re 0.720 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.720 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.720 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 0.721 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 0.721 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 0.721 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.721 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 0.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 0.722 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 0.722 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.722 * [taylor]: Taking taylor expansion of y.re in x.re 0.722 * [backup-simplify]: Simplify y.re into y.re 0.722 * [taylor]: Taking taylor expansion of x.re in x.re 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.722 * [taylor]: Taking taylor expansion of y.im in x.re 0.722 * [backup-simplify]: Simplify y.im into y.im 0.722 * [taylor]: Taking taylor expansion of x.im in x.re 0.722 * [backup-simplify]: Simplify x.im into x.im 0.722 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in x.re 0.722 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.re 0.722 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.re 0.722 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 0.722 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.722 * [taylor]: Taking taylor expansion of y.im in x.re 0.722 * [backup-simplify]: Simplify y.im into y.im 0.722 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.722 * [taylor]: Taking taylor expansion of y.re in x.re 0.722 * [backup-simplify]: Simplify y.re into y.re 0.722 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.722 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.722 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 0.722 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 0.723 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 0.723 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.723 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 0.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 0.723 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 0.724 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.724 * [taylor]: Taking taylor expansion of y.re in x.re 0.724 * [backup-simplify]: Simplify y.re into y.re 0.724 * [taylor]: Taking taylor expansion of x.re in x.re 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.724 * [taylor]: Taking taylor expansion of y.im in x.re 0.724 * [backup-simplify]: Simplify y.im into y.im 0.724 * [taylor]: Taking taylor expansion of x.im in x.re 0.724 * [backup-simplify]: Simplify x.im into x.im 0.724 * [backup-simplify]: Simplify (* y.re 0) into 0 0.724 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.724 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 0.724 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) (* y.im x.im)) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.im)) 0.724 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.im)) in y.re 0.724 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 0.724 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 0.724 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.724 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.724 * [taylor]: Taking taylor expansion of y.im in y.re 0.724 * [backup-simplify]: Simplify y.im into y.im 0.724 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.724 * [taylor]: Taking taylor expansion of y.re in y.re 0.724 * [backup-simplify]: Simplify 0 into 0 0.724 * [backup-simplify]: Simplify 1 into 1 0.724 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.724 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.724 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.725 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 0.725 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.725 * [backup-simplify]: Simplify (+ 0 0) into 0 0.725 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 0.725 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.725 * [taylor]: Taking taylor expansion of y.im in y.re 0.725 * [backup-simplify]: Simplify y.im into y.im 0.725 * [taylor]: Taking taylor expansion of x.im in y.re 0.725 * [backup-simplify]: Simplify x.im into x.im 0.725 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.725 * [backup-simplify]: Simplify (* (/ 1 y.im) (* y.im x.im)) into x.im 0.725 * [taylor]: Taking taylor expansion of x.im in x.im 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of 0 in y.im 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.726 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.726 * [backup-simplify]: Simplify (+ y.re 0) into y.re 0.726 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) y.re) (* 0 (* y.im x.im))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re) 0.726 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re) in y.re 0.726 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 0.726 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 0.726 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.726 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.726 * [taylor]: Taking taylor expansion of y.im in y.re 0.726 * [backup-simplify]: Simplify y.im into y.im 0.726 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.726 * [taylor]: Taking taylor expansion of y.re in y.re 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.726 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.726 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.727 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 0.727 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.727 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 0.727 * [taylor]: Taking taylor expansion of y.re in y.re 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.727 * [backup-simplify]: Simplify (* (/ 1 y.im) 0) into 0 0.727 * [taylor]: Taking taylor expansion of 0 in x.im 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [taylor]: Taking taylor expansion of 0 in y.im 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.728 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (* y.im x.im))) into 0 0.728 * [taylor]: Taking taylor expansion of 0 in x.im 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [taylor]: Taking taylor expansion of 0 in y.im 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [taylor]: Taking taylor expansion of 1 in y.im 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.728 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.729 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.729 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))) (* 0 (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 0.730 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))) into 0 0.731 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 0) (+ (* 0 y.re) (* 0 (* y.im x.im)))) into 0 0.731 * [taylor]: Taking taylor expansion of 0 in y.re 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [taylor]: Taking taylor expansion of 0 in x.im 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [taylor]: Taking taylor expansion of 0 in y.im 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 1) (* 0 0)) into (/ 1 y.im) 0.731 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im 0.731 * [taylor]: Taking taylor expansion of y.im in x.im 0.731 * [backup-simplify]: Simplify y.im into y.im 0.731 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.731 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.731 * [taylor]: Taking taylor expansion of y.im in y.im 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify 0 into 0 0.732 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.732 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.733 * [backup-simplify]: Simplify (* 1 1) into 1 0.733 * [backup-simplify]: Simplify (+ 0 1) into 1 0.733 * [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))) 0.734 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 4))) (pow 0 2) (+)) (* 2 (/ 1 y.im))) into (/ -1/2 (pow y.im 3)) 0.734 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 3)) (* y.im x.im)))) into (- (* 1/2 (/ x.im (pow y.im 2)))) 0.734 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x.im (pow y.im 2)))) in x.im 0.734 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.im (pow y.im 2))) in x.im 0.734 * [taylor]: Taking taylor expansion of 1/2 in x.im 0.734 * [backup-simplify]: Simplify 1/2 into 1/2 0.734 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 2)) in x.im 0.734 * [taylor]: Taking taylor expansion of x.im in x.im 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.734 * [taylor]: Taking taylor expansion of y.im in x.im 0.734 * [backup-simplify]: Simplify y.im into y.im 0.734 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.735 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.735 * [taylor]: Taking taylor expansion of 0 in y.im 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [taylor]: Taking taylor expansion of 0 in y.im 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [taylor]: Taking taylor expansion of 0 in y.im 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify 0 into 0 0.735 * [backup-simplify]: Simplify (* 1 (* 1 (* x.im (* 1 1)))) into x.im 0.735 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.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))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 0.735 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in (x.re y.re x.im y.im) around 0 0.735 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.im 0.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.735 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.735 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.735 * [taylor]: Taking taylor expansion of y.im in y.im 0.735 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [taylor]: Taking taylor expansion of x.im in y.im 0.736 * [backup-simplify]: Simplify x.im into x.im 0.736 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.736 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.736 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.736 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.736 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.736 * [taylor]: Taking taylor expansion of y.re in y.im 0.736 * [backup-simplify]: Simplify y.re into y.re 0.736 * [taylor]: Taking taylor expansion of x.re in y.im 0.736 * [backup-simplify]: Simplify x.re into x.re 0.736 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.736 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.736 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.im 0.736 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 0.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 0.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.736 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.736 * [taylor]: Taking taylor expansion of y.im in y.im 0.736 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (* 1 1) into 1 0.737 * [backup-simplify]: Simplify (/ 1 1) into 1 0.737 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 0.737 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.737 * [taylor]: Taking taylor expansion of y.re in y.im 0.737 * [backup-simplify]: Simplify y.re into y.re 0.737 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.737 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.737 * [backup-simplify]: Simplify (+ 1 0) into 1 0.737 * [backup-simplify]: Simplify (/ 1 1) into 1 0.738 * [backup-simplify]: Simplify (sqrt 1) into 1 0.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (+ 0 0) into 0 0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.739 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.im 0.739 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.739 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.739 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.739 * [taylor]: Taking taylor expansion of y.im in x.im 0.739 * [backup-simplify]: Simplify y.im into y.im 0.739 * [taylor]: Taking taylor expansion of x.im in x.im 0.739 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [backup-simplify]: Simplify (* y.im 0) into 0 0.740 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.740 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.740 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.740 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.740 * [taylor]: Taking taylor expansion of y.re in x.im 0.740 * [backup-simplify]: Simplify y.re into y.re 0.740 * [taylor]: Taking taylor expansion of x.re in x.im 0.740 * [backup-simplify]: Simplify x.re into x.re 0.740 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.740 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.740 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.im 0.740 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 0.740 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.740 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.740 * [taylor]: Taking taylor expansion of y.im in x.im 0.740 * [backup-simplify]: Simplify y.im into y.im 0.740 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.740 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.740 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 0.740 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 0.740 * [taylor]: Taking taylor expansion of y.re in x.im 0.740 * [backup-simplify]: Simplify y.re into y.re 0.740 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.740 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.741 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.741 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0.741 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 0.741 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.741 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 0.742 * [backup-simplify]: Simplify (+ 0 0) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.742 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 0.742 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.742 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.742 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.742 * [taylor]: Taking taylor expansion of y.im in y.re 0.742 * [backup-simplify]: Simplify y.im into y.im 0.742 * [taylor]: Taking taylor expansion of x.im in y.re 0.742 * [backup-simplify]: Simplify x.im into x.im 0.743 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.743 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.743 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.743 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.743 * [taylor]: Taking taylor expansion of y.re in y.re 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [taylor]: Taking taylor expansion of x.re in y.re 0.743 * [backup-simplify]: Simplify x.re into x.re 0.743 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.743 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.743 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.743 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 0.743 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.743 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.743 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.743 * [taylor]: Taking taylor expansion of y.im in y.re 0.743 * [backup-simplify]: Simplify y.im into y.im 0.743 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.743 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.743 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.743 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.743 * [taylor]: Taking taylor expansion of y.re in y.re 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.744 * [backup-simplify]: Simplify (* 1 1) into 1 0.744 * [backup-simplify]: Simplify (/ 1 1) into 1 0.744 * [backup-simplify]: Simplify (+ 0 1) into 1 0.744 * [backup-simplify]: Simplify (/ 1 1) into 1 0.744 * [backup-simplify]: Simplify (sqrt 1) into 1 0.745 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (+ 0 0) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.746 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 0.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.746 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.746 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.746 * [taylor]: Taking taylor expansion of y.im in x.re 0.746 * [backup-simplify]: Simplify y.im into y.im 0.746 * [taylor]: Taking taylor expansion of x.im in x.re 0.746 * [backup-simplify]: Simplify x.im into x.im 0.746 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.746 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.746 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.747 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.747 * [taylor]: Taking taylor expansion of y.re in x.re 0.747 * [backup-simplify]: Simplify y.re into y.re 0.747 * [taylor]: Taking taylor expansion of x.re in x.re 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify 1 into 1 0.747 * [backup-simplify]: Simplify (* y.re 0) into 0 0.747 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.747 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.747 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 0.747 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 0.747 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.747 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.747 * [taylor]: Taking taylor expansion of y.im in x.re 0.747 * [backup-simplify]: Simplify y.im into y.im 0.747 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.747 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.747 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.747 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.747 * [taylor]: Taking taylor expansion of y.re in x.re 0.747 * [backup-simplify]: Simplify y.re into y.re 0.748 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.748 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.748 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.748 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0.748 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 0.748 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.749 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 0.749 * [backup-simplify]: Simplify (+ 0 0) into 0 0.749 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.750 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.750 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.750 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.750 * [taylor]: Taking taylor expansion of y.im in x.re 0.750 * [backup-simplify]: Simplify y.im into y.im 0.750 * [taylor]: Taking taylor expansion of x.im in x.re 0.750 * [backup-simplify]: Simplify x.im into x.im 0.750 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.750 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.750 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.750 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.750 * [taylor]: Taking taylor expansion of y.re in x.re 0.750 * [backup-simplify]: Simplify y.re into y.re 0.750 * [taylor]: Taking taylor expansion of x.re in x.re 0.750 * [backup-simplify]: Simplify 0 into 0 0.750 * [backup-simplify]: Simplify 1 into 1 0.750 * [backup-simplify]: Simplify (* y.re 0) into 0 0.750 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.750 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.750 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 0.750 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.750 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.750 * [taylor]: Taking taylor expansion of y.im in x.re 0.750 * [backup-simplify]: Simplify y.im into y.im 0.750 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.750 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.750 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.751 * [taylor]: Taking taylor expansion of y.re in x.re 0.751 * [backup-simplify]: Simplify y.re into y.re 0.751 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.751 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.751 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.751 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0.751 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 0.751 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.751 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.752 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.753 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.753 * [backup-simplify]: Simplify (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) 0.753 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) in y.re 0.753 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 0.753 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.753 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.753 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.753 * [taylor]: Taking taylor expansion of y.im in y.re 0.753 * [backup-simplify]: Simplify y.im into y.im 0.753 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.753 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.753 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.753 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.753 * [taylor]: Taking taylor expansion of y.re in y.re 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.754 * [backup-simplify]: Simplify (* 1 1) into 1 0.754 * [backup-simplify]: Simplify (/ 1 1) into 1 0.754 * [backup-simplify]: Simplify (+ 0 1) into 1 0.754 * [backup-simplify]: Simplify (/ 1 1) into 1 0.754 * [backup-simplify]: Simplify (sqrt 1) into 1 0.755 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.755 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.756 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.756 * [taylor]: Taking taylor expansion of y.re in y.re 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (/ 1 1) into 1 0.757 * [backup-simplify]: Simplify (* 1 1) into 1 0.757 * [taylor]: Taking taylor expansion of 1 in x.im 0.757 * [backup-simplify]: Simplify 1 into 1 0.757 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.757 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.758 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 0.758 * [taylor]: Taking taylor expansion of (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 0.758 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.758 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.758 * [taylor]: Taking taylor expansion of y.im in y.re 0.758 * [backup-simplify]: Simplify y.im into y.im 0.758 * [taylor]: Taking taylor expansion of x.im in y.re 0.758 * [backup-simplify]: Simplify x.im into x.im 0.758 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.758 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.758 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 0.758 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.758 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.758 * [taylor]: Taking taylor expansion of y.im in y.re 0.758 * [backup-simplify]: Simplify y.im into y.im 0.758 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.758 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.758 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.758 * [taylor]: Taking taylor expansion of y.re in y.re 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.759 * [backup-simplify]: Simplify (* 1 1) into 1 0.759 * [backup-simplify]: Simplify (/ 1 1) into 1 0.759 * [backup-simplify]: Simplify (+ 0 1) into 1 0.759 * [backup-simplify]: Simplify (/ 1 1) into 1 0.760 * [backup-simplify]: Simplify (sqrt 1) into 1 0.760 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.762 * [taylor]: Taking taylor expansion of 0 in x.im 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [taylor]: Taking taylor expansion of 1 in y.im 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.763 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 0.763 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 0.764 * [backup-simplify]: Simplify (+ 0 0) into 0 0.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.765 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.765 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.765 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.765 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.766 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.766 * [backup-simplify]: Simplify (+ 0 0) into 0 0.766 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0 0.766 * [taylor]: Taking taylor expansion of 0 in y.re 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [taylor]: Taking taylor expansion of 0 in x.im 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (* (/ 1 (* y.im x.im)) 1) into (/ 1 (* y.im x.im)) 0.766 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.766 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.766 * [taylor]: Taking taylor expansion of y.im in x.im 0.766 * [backup-simplify]: Simplify y.im into y.im 0.766 * [taylor]: Taking taylor expansion of x.im in x.im 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (* y.im 0) into 0 0.767 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.767 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.767 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.767 * [taylor]: Taking taylor expansion of y.im in y.im 0.767 * [backup-simplify]: Simplify 0 into 0 0.767 * [backup-simplify]: Simplify 1 into 1 0.767 * [backup-simplify]: Simplify (/ 1 1) into 1 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.769 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 0.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 0.770 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2)) 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 2)) 1))) into (- (* 1/2 (/ 1 (pow y.im 2)))) 0.771 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.im 0.771 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.im 0.771 * [taylor]: Taking taylor expansion of 1/2 in x.im 0.771 * [backup-simplify]: Simplify 1/2 into 1/2 0.771 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.771 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.771 * [taylor]: Taking taylor expansion of y.im in x.im 0.771 * [backup-simplify]: Simplify y.im into y.im 0.771 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.771 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.771 * [taylor]: Taking taylor expansion of 0 in y.im 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [taylor]: Taking taylor expansion of 0 in y.im 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 0.772 * [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 0.773 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 0.773 * [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 0.773 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.775 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.775 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.776 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.776 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.777 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))))) into 0 0.777 * [taylor]: Taking taylor expansion of 0 in y.re 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [taylor]: Taking taylor expansion of 0 in x.im 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [taylor]: Taking taylor expansion of 0 in x.im 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.777 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.777 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1)) into 0 0.777 * [taylor]: Taking taylor expansion of 0 in x.im 0.777 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.779 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0 0.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y.im 2)) 0) (* 0 1)))) into 0 0.781 * [taylor]: Taking taylor expansion of 0 in x.im 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [taylor]: Taking taylor expansion of 0 in y.im 0.781 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 0.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 0.782 * [taylor]: Taking taylor expansion of 0 in y.im 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 x.re)))))) into x.re 0.783 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.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))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 0.783 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in (x.re y.re x.im y.im) around 0 0.783 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.im 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.783 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.783 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.783 * [taylor]: Taking taylor expansion of y.im in y.im 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [taylor]: Taking taylor expansion of x.im in y.im 0.783 * [backup-simplify]: Simplify x.im into x.im 0.783 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.783 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.783 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.783 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.783 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.783 * [taylor]: Taking taylor expansion of y.re in y.im 0.783 * [backup-simplify]: Simplify y.re into y.re 0.783 * [taylor]: Taking taylor expansion of x.re in y.im 0.783 * [backup-simplify]: Simplify x.re into x.re 0.783 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.783 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.783 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.im 0.783 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 0.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.783 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.783 * [taylor]: Taking taylor expansion of y.im in y.im 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.784 * [backup-simplify]: Simplify (* 1 1) into 1 0.784 * [backup-simplify]: Simplify (/ 1 1) into 1 0.784 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 0.784 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.784 * [taylor]: Taking taylor expansion of y.re in y.im 0.784 * [backup-simplify]: Simplify y.re into y.re 0.784 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.784 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.784 * [backup-simplify]: Simplify (+ 1 0) into 1 0.785 * [backup-simplify]: Simplify (/ 1 1) into 1 0.785 * [backup-simplify]: Simplify (sqrt 1) into 1 0.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.786 * [backup-simplify]: Simplify (+ 0 0) into 0 0.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.787 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.im 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.787 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.787 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.787 * [taylor]: Taking taylor expansion of y.im in x.im 0.787 * [backup-simplify]: Simplify y.im into y.im 0.787 * [taylor]: Taking taylor expansion of x.im in x.im 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (* y.im 0) into 0 0.787 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.787 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.787 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.787 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.787 * [taylor]: Taking taylor expansion of y.re in x.im 0.787 * [backup-simplify]: Simplify y.re into y.re 0.787 * [taylor]: Taking taylor expansion of x.re in x.im 0.787 * [backup-simplify]: Simplify x.re into x.re 0.787 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.787 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.787 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.im 0.787 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 0.787 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 0.787 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.787 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.787 * [taylor]: Taking taylor expansion of y.im in x.im 0.787 * [backup-simplify]: Simplify y.im into y.im 0.787 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.787 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.788 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 0.788 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 0.788 * [taylor]: Taking taylor expansion of y.re in x.im 0.788 * [backup-simplify]: Simplify y.re into y.re 0.788 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.788 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.788 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.788 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0.788 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 0.788 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.789 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.790 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.790 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.790 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.790 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.790 * [taylor]: Taking taylor expansion of y.im in y.re 0.790 * [backup-simplify]: Simplify y.im into y.im 0.790 * [taylor]: Taking taylor expansion of x.im in y.re 0.790 * [backup-simplify]: Simplify x.im into x.im 0.790 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.790 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.790 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.790 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.790 * [taylor]: Taking taylor expansion of y.re in y.re 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [taylor]: Taking taylor expansion of x.re in y.re 0.790 * [backup-simplify]: Simplify x.re into x.re 0.790 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.790 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.790 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.790 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 0.790 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.790 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.790 * [taylor]: Taking taylor expansion of y.im in y.re 0.790 * [backup-simplify]: Simplify y.im into y.im 0.790 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.791 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.791 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.791 * [taylor]: Taking taylor expansion of y.re in y.re 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (* 1 1) into 1 0.791 * [backup-simplify]: Simplify (/ 1 1) into 1 0.791 * [backup-simplify]: Simplify (+ 0 1) into 1 0.792 * [backup-simplify]: Simplify (/ 1 1) into 1 0.792 * [backup-simplify]: Simplify (sqrt 1) into 1 0.792 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.794 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.794 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.794 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.794 * [taylor]: Taking taylor expansion of y.im in x.re 0.794 * [backup-simplify]: Simplify y.im into y.im 0.794 * [taylor]: Taking taylor expansion of x.im in x.re 0.794 * [backup-simplify]: Simplify x.im into x.im 0.794 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.794 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.794 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.794 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.794 * [taylor]: Taking taylor expansion of y.re in x.re 0.794 * [backup-simplify]: Simplify y.re into y.re 0.794 * [taylor]: Taking taylor expansion of x.re in x.re 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (* y.re 0) into 0 0.794 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.794 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.794 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 0.794 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 0.794 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.794 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.794 * [taylor]: Taking taylor expansion of y.im in x.re 0.794 * [backup-simplify]: Simplify y.im into y.im 0.794 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.794 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.794 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.794 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.795 * [taylor]: Taking taylor expansion of y.re in x.re 0.795 * [backup-simplify]: Simplify y.re into y.re 0.795 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.795 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.795 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.795 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0.795 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 0.795 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.795 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.796 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 0.796 * [backup-simplify]: Simplify (+ 0 0) into 0 0.796 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.797 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.797 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.797 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.797 * [taylor]: Taking taylor expansion of y.im in x.re 0.797 * [backup-simplify]: Simplify y.im into y.im 0.797 * [taylor]: Taking taylor expansion of x.im in x.re 0.797 * [backup-simplify]: Simplify x.im into x.im 0.797 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.797 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.797 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.797 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.797 * [taylor]: Taking taylor expansion of y.re in x.re 0.797 * [backup-simplify]: Simplify y.re into y.re 0.797 * [taylor]: Taking taylor expansion of x.re in x.re 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (* y.re 0) into 0 0.797 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.797 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.797 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 0.797 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.797 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.797 * [taylor]: Taking taylor expansion of y.im in x.re 0.797 * [backup-simplify]: Simplify y.im into y.im 0.797 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.797 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.798 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.798 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.798 * [taylor]: Taking taylor expansion of y.re in x.re 0.798 * [backup-simplify]: Simplify y.re into y.re 0.798 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.798 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.798 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.798 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 0.798 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 0.799 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.799 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 0.799 * [backup-simplify]: Simplify (+ 0 0) into 0 0.800 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.800 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.800 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.800 * [backup-simplify]: Simplify (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) 0.800 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) in y.re 0.800 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 0.800 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.800 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.800 * [taylor]: Taking taylor expansion of y.im in y.re 0.800 * [backup-simplify]: Simplify y.im into y.im 0.800 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.800 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.800 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.800 * [taylor]: Taking taylor expansion of y.re in y.re 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (* 1 1) into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.801 * [backup-simplify]: Simplify (+ 0 1) into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.802 * [backup-simplify]: Simplify (sqrt 1) into 1 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.803 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.803 * [taylor]: Taking taylor expansion of y.re in y.re 0.803 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (/ 1 1) into 1 0.804 * [backup-simplify]: Simplify (* 1 1) into 1 0.804 * [taylor]: Taking taylor expansion of 1 in x.im 0.804 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.805 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.805 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 0.805 * [taylor]: Taking taylor expansion of (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 0.805 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.805 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.805 * [taylor]: Taking taylor expansion of y.im in y.re 0.805 * [backup-simplify]: Simplify y.im into y.im 0.805 * [taylor]: Taking taylor expansion of x.im in y.re 0.805 * [backup-simplify]: Simplify x.im into x.im 0.805 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.805 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.805 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 0.805 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.805 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.805 * [taylor]: Taking taylor expansion of y.im in y.re 0.805 * [backup-simplify]: Simplify y.im into y.im 0.805 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.805 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.805 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.805 * [taylor]: Taking taylor expansion of y.re in y.re 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.806 * [backup-simplify]: Simplify (* 1 1) into 1 0.806 * [backup-simplify]: Simplify (/ 1 1) into 1 0.806 * [backup-simplify]: Simplify (+ 0 1) into 1 0.806 * [backup-simplify]: Simplify (/ 1 1) into 1 0.807 * [backup-simplify]: Simplify (sqrt 1) into 1 0.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.807 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.809 * [taylor]: Taking taylor expansion of 0 in x.im 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [taylor]: Taking taylor expansion of 1 in y.im 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.810 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.813 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 0.813 * [backup-simplify]: Simplify (+ 0 0) into 0 0.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.814 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.814 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.815 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.815 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.815 * [backup-simplify]: Simplify (+ 0 0) into 0 0.816 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0 0.816 * [taylor]: Taking taylor expansion of 0 in y.re 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [taylor]: Taking taylor expansion of 0 in x.im 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify (* (/ 1 (* y.im x.im)) 1) into (/ 1 (* y.im x.im)) 0.816 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.816 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.816 * [taylor]: Taking taylor expansion of y.im in x.im 0.816 * [backup-simplify]: Simplify y.im into y.im 0.816 * [taylor]: Taking taylor expansion of x.im in x.im 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 1 into 1 0.816 * [backup-simplify]: Simplify (* y.im 0) into 0 0.816 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.816 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.816 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.816 * [taylor]: Taking taylor expansion of y.im in y.im 0.816 * [backup-simplify]: Simplify 0 into 0 0.816 * [backup-simplify]: Simplify 1 into 1 0.817 * [backup-simplify]: Simplify (/ 1 1) into 1 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 0.820 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2)) 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 2)) 1))) into (- (* 1/2 (/ 1 (pow y.im 2)))) 0.821 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.im 0.821 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.im 0.821 * [taylor]: Taking taylor expansion of 1/2 in x.im 0.821 * [backup-simplify]: Simplify 1/2 into 1/2 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.821 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.821 * [taylor]: Taking taylor expansion of y.im in x.im 0.821 * [backup-simplify]: Simplify y.im into y.im 0.821 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.821 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.821 * [taylor]: Taking taylor expansion of 0 in y.im 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [taylor]: Taking taylor expansion of 0 in y.im 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 0.822 * [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 0.822 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 0.823 * [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 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.824 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 0.825 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.825 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.826 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))))) into 0 0.826 * [taylor]: Taking taylor expansion of 0 in y.re 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [taylor]: Taking taylor expansion of 0 in x.im 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [taylor]: Taking taylor expansion of 0 in x.im 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.826 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.827 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1)) into 0 0.827 * [taylor]: Taking taylor expansion of 0 in x.im 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.828 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0 0.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y.im 2)) 0) (* 0 1)))) into 0 0.831 * [taylor]: Taking taylor expansion of 0 in x.im 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [taylor]: Taking taylor expansion of 0 in y.im 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 0.831 * [taylor]: Taking taylor expansion of 0 in y.im 0.831 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x.re))))))) into (* -1 x.re) 0.832 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 1) 0.832 * [backup-simplify]: Simplify (+ (* x.re y.re) (* x.im y.im)) into (+ (* y.re x.re) (* y.im x.im)) 0.832 * [approximate]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in (x.re y.re x.im y.im) around 0 0.832 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 0.832 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.832 * [taylor]: Taking taylor expansion of y.re in y.im 0.832 * [backup-simplify]: Simplify y.re into y.re 0.832 * [taylor]: Taking taylor expansion of x.re in y.im 0.832 * [backup-simplify]: Simplify x.re into x.re 0.832 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.832 * [taylor]: Taking taylor expansion of y.im in y.im 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of x.im in y.im 0.832 * [backup-simplify]: Simplify x.im into x.im 0.832 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 0.832 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.832 * [taylor]: Taking taylor expansion of y.re in x.im 0.832 * [backup-simplify]: Simplify y.re into y.re 0.832 * [taylor]: Taking taylor expansion of x.re in x.im 0.832 * [backup-simplify]: Simplify x.re into x.re 0.832 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.832 * [taylor]: Taking taylor expansion of y.im in x.im 0.832 * [backup-simplify]: Simplify y.im into y.im 0.832 * [taylor]: Taking taylor expansion of x.im in x.im 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 0.832 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.832 * [taylor]: Taking taylor expansion of y.re in y.re 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of x.re in y.re 0.832 * [backup-simplify]: Simplify x.re into x.re 0.832 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.832 * [taylor]: Taking taylor expansion of y.im in y.re 0.832 * [backup-simplify]: Simplify y.im into y.im 0.832 * [taylor]: Taking taylor expansion of x.im in y.re 0.832 * [backup-simplify]: Simplify x.im into x.im 0.832 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 0.832 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.832 * [taylor]: Taking taylor expansion of y.re in x.re 0.832 * [backup-simplify]: Simplify y.re into y.re 0.832 * [taylor]: Taking taylor expansion of x.re in x.re 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.832 * [taylor]: Taking taylor expansion of y.im in x.re 0.832 * [backup-simplify]: Simplify y.im into y.im 0.833 * [taylor]: Taking taylor expansion of x.im in x.re 0.833 * [backup-simplify]: Simplify x.im into x.im 0.833 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 0.833 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.833 * [taylor]: Taking taylor expansion of y.re in x.re 0.833 * [backup-simplify]: Simplify y.re into y.re 0.833 * [taylor]: Taking taylor expansion of x.re in x.re 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.833 * [taylor]: Taking taylor expansion of y.im in x.re 0.833 * [backup-simplify]: Simplify y.im into y.im 0.833 * [taylor]: Taking taylor expansion of x.im in x.re 0.833 * [backup-simplify]: Simplify x.im into x.im 0.833 * [backup-simplify]: Simplify (* y.re 0) into 0 0.833 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.833 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 0.833 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.833 * [taylor]: Taking taylor expansion of y.im in y.re 0.833 * [backup-simplify]: Simplify y.im into y.im 0.833 * [taylor]: Taking taylor expansion of x.im in y.re 0.833 * [backup-simplify]: Simplify x.im into x.im 0.833 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.833 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.833 * [taylor]: Taking taylor expansion of y.im in x.im 0.833 * [backup-simplify]: Simplify y.im into y.im 0.833 * [taylor]: Taking taylor expansion of x.im in x.im 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (* y.im 0) into 0 0.833 * [taylor]: Taking taylor expansion of 0 in y.im 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.833 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.833 * [backup-simplify]: Simplify (+ y.re 0) into y.re 0.834 * [taylor]: Taking taylor expansion of y.re in y.re 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.834 * [taylor]: Taking taylor expansion of 0 in x.im 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [taylor]: Taking taylor expansion of 0 in y.im 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.834 * [taylor]: Taking taylor expansion of 0 in x.im 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [taylor]: Taking taylor expansion of 0 in y.im 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.834 * [taylor]: Taking taylor expansion of y.im in y.im 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 1 into 1 0.834 * [backup-simplify]: Simplify 0 into 0 0.834 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.835 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.835 * [taylor]: Taking taylor expansion of 0 in y.re 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [taylor]: Taking taylor expansion of 0 in x.im 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [taylor]: Taking taylor expansion of 0 in y.im 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 0.835 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.re y.re x.im y.im) around 0 0.835 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.835 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.835 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.835 * [taylor]: Taking taylor expansion of y.im in y.im 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 1 into 1 0.835 * [taylor]: Taking taylor expansion of x.im in y.im 0.835 * [backup-simplify]: Simplify x.im into x.im 0.836 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.836 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.836 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.836 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.836 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.836 * [taylor]: Taking taylor expansion of y.re in y.im 0.836 * [backup-simplify]: Simplify y.re into y.re 0.836 * [taylor]: Taking taylor expansion of x.re in y.im 0.836 * [backup-simplify]: Simplify x.re into x.re 0.836 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.836 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.836 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.836 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.836 * [taylor]: Taking taylor expansion of y.im in x.im 0.836 * [backup-simplify]: Simplify y.im into y.im 0.836 * [taylor]: Taking taylor expansion of x.im in x.im 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.836 * [backup-simplify]: Simplify (* y.im 0) into 0 0.836 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.836 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.836 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.836 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.836 * [taylor]: Taking taylor expansion of y.re in x.im 0.837 * [backup-simplify]: Simplify y.re into y.re 0.837 * [taylor]: Taking taylor expansion of x.re in x.im 0.837 * [backup-simplify]: Simplify x.re into x.re 0.837 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.837 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.837 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.837 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.837 * [taylor]: Taking taylor expansion of y.im in y.re 0.837 * [backup-simplify]: Simplify y.im into y.im 0.837 * [taylor]: Taking taylor expansion of x.im in y.re 0.837 * [backup-simplify]: Simplify x.im into x.im 0.837 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.837 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.837 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.837 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.837 * [taylor]: Taking taylor expansion of y.re in y.re 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 1 into 1 0.837 * [taylor]: Taking taylor expansion of x.re in y.re 0.837 * [backup-simplify]: Simplify x.re into x.re 0.837 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.837 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.837 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.837 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.837 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.837 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.837 * [taylor]: Taking taylor expansion of y.im in x.re 0.837 * [backup-simplify]: Simplify y.im into y.im 0.837 * [taylor]: Taking taylor expansion of x.im in x.re 0.837 * [backup-simplify]: Simplify x.im into x.im 0.837 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.837 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.837 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.837 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.837 * [taylor]: Taking taylor expansion of y.re in x.re 0.838 * [backup-simplify]: Simplify y.re into y.re 0.838 * [taylor]: Taking taylor expansion of x.re in x.re 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.838 * [backup-simplify]: Simplify (* y.re 0) into 0 0.838 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.838 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.838 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.838 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.838 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.838 * [taylor]: Taking taylor expansion of y.im in x.re 0.838 * [backup-simplify]: Simplify y.im into y.im 0.838 * [taylor]: Taking taylor expansion of x.im in x.re 0.838 * [backup-simplify]: Simplify x.im into x.im 0.838 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.838 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.838 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.838 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.838 * [taylor]: Taking taylor expansion of y.re in x.re 0.838 * [backup-simplify]: Simplify y.re into y.re 0.838 * [taylor]: Taking taylor expansion of x.re in x.re 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify 1 into 1 0.838 * [backup-simplify]: Simplify (* y.re 0) into 0 0.838 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.839 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.839 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.839 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.839 * [taylor]: Taking taylor expansion of y.re in y.re 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 1 into 1 0.839 * [backup-simplify]: Simplify (/ 1 1) into 1 0.839 * [taylor]: Taking taylor expansion of 1 in x.im 0.839 * [backup-simplify]: Simplify 1 into 1 0.839 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.840 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.840 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.840 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.840 * [taylor]: Taking taylor expansion of y.im in y.re 0.840 * [backup-simplify]: Simplify y.im into y.im 0.840 * [taylor]: Taking taylor expansion of x.im in y.re 0.840 * [backup-simplify]: Simplify x.im into x.im 0.840 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.840 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.840 * [taylor]: Taking taylor expansion of 0 in x.im 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [taylor]: Taking taylor expansion of 1 in y.im 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.840 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.841 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [taylor]: Taking taylor expansion of 0 in y.re 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.841 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.841 * [taylor]: Taking taylor expansion of y.im in x.im 0.841 * [backup-simplify]: Simplify y.im into y.im 0.841 * [taylor]: Taking taylor expansion of x.im in x.im 0.841 * [backup-simplify]: Simplify 0 into 0 0.841 * [backup-simplify]: Simplify 1 into 1 0.841 * [backup-simplify]: Simplify (* y.im 0) into 0 0.842 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.842 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.842 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.842 * [taylor]: Taking taylor expansion of y.im in y.im 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (/ 1 1) into 1 0.842 * [backup-simplify]: Simplify 1 into 1 0.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.842 * [taylor]: Taking taylor expansion of 0 in x.im 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [taylor]: Taking taylor expansion of 0 in y.im 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [taylor]: Taking taylor expansion of 0 in y.im 0.843 * [backup-simplify]: Simplify 0 into 0 0.843 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.844 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [taylor]: Taking taylor expansion of 0 in y.re 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [taylor]: Taking taylor expansion of 0 in x.im 0.844 * [backup-simplify]: Simplify 0 into 0 0.844 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.844 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.844 * [taylor]: Taking taylor expansion of 0 in x.im 0.844 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.845 * [taylor]: Taking taylor expansion of 0 in x.im 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 0.845 * [taylor]: Taking taylor expansion of 0 in y.im 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [taylor]: Taking taylor expansion of 0 in y.im 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [taylor]: Taking taylor expansion of 0 in y.im 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [taylor]: Taking taylor expansion of 0 in y.im 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 0.847 * [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 0.847 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.848 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.848 * [backup-simplify]: Simplify (+ 0 0) into 0 0.848 * [taylor]: Taking taylor expansion of 0 in y.re 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [taylor]: Taking taylor expansion of 0 in x.im 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [taylor]: Taking taylor expansion of 0 in x.im 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.849 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.849 * [taylor]: Taking taylor expansion of 0 in x.im 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.849 * [taylor]: Taking taylor expansion of 0 in x.im 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [taylor]: Taking taylor expansion of 0 in y.im 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [taylor]: Taking taylor expansion of 0 in y.im 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [taylor]: Taking taylor expansion of 0 in y.im 0.849 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.850 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 0.850 * [taylor]: Taking taylor expansion of 0 in y.im 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [taylor]: Taking taylor expansion of 0 in y.im 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [taylor]: Taking taylor expansion of 0 in y.im 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [taylor]: Taking taylor expansion of 0 in y.im 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 0 into 0 0.851 * [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.re x.re) (* y.im x.im)) 0.851 * [backup-simplify]: Simplify (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 0.851 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.re y.re x.im y.im) around 0 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.851 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.851 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.851 * [taylor]: Taking taylor expansion of y.im in y.im 0.851 * [backup-simplify]: Simplify 0 into 0 0.851 * [backup-simplify]: Simplify 1 into 1 0.851 * [taylor]: Taking taylor expansion of x.im in y.im 0.851 * [backup-simplify]: Simplify x.im into x.im 0.851 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.851 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.851 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.851 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.851 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.851 * [taylor]: Taking taylor expansion of y.re in y.im 0.851 * [backup-simplify]: Simplify y.re into y.re 0.851 * [taylor]: Taking taylor expansion of x.re in y.im 0.851 * [backup-simplify]: Simplify x.re into x.re 0.851 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.851 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.851 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.852 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.852 * [taylor]: Taking taylor expansion of y.im in x.im 0.852 * [backup-simplify]: Simplify y.im into y.im 0.852 * [taylor]: Taking taylor expansion of x.im in x.im 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify (* y.im 0) into 0 0.852 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.852 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.852 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.852 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.852 * [taylor]: Taking taylor expansion of y.re in x.im 0.852 * [backup-simplify]: Simplify y.re into y.re 0.852 * [taylor]: Taking taylor expansion of x.re in x.im 0.852 * [backup-simplify]: Simplify x.re into x.re 0.852 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.852 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.852 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.852 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.852 * [taylor]: Taking taylor expansion of y.im in y.re 0.852 * [backup-simplify]: Simplify y.im into y.im 0.852 * [taylor]: Taking taylor expansion of x.im in y.re 0.852 * [backup-simplify]: Simplify x.im into x.im 0.852 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.852 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.852 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.852 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.852 * [taylor]: Taking taylor expansion of y.re in y.re 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [taylor]: Taking taylor expansion of x.re in y.re 0.852 * [backup-simplify]: Simplify x.re into x.re 0.852 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.853 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.853 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.853 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.853 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.853 * [taylor]: Taking taylor expansion of y.im in x.re 0.853 * [backup-simplify]: Simplify y.im into y.im 0.853 * [taylor]: Taking taylor expansion of x.im in x.re 0.853 * [backup-simplify]: Simplify x.im into x.im 0.853 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.853 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.853 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.853 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.853 * [taylor]: Taking taylor expansion of y.re in x.re 0.853 * [backup-simplify]: Simplify y.re into y.re 0.853 * [taylor]: Taking taylor expansion of x.re in x.re 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 1 into 1 0.853 * [backup-simplify]: Simplify (* y.re 0) into 0 0.853 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.853 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.853 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.853 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.853 * [taylor]: Taking taylor expansion of y.im in x.re 0.853 * [backup-simplify]: Simplify y.im into y.im 0.853 * [taylor]: Taking taylor expansion of x.im in x.re 0.853 * [backup-simplify]: Simplify x.im into x.im 0.853 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.854 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.854 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.854 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.854 * [taylor]: Taking taylor expansion of y.re in x.re 0.854 * [backup-simplify]: Simplify y.re into y.re 0.854 * [taylor]: Taking taylor expansion of x.re in x.re 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [backup-simplify]: Simplify (* y.re 0) into 0 0.854 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.854 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.854 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.854 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.854 * [taylor]: Taking taylor expansion of y.re in y.re 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.854 * [backup-simplify]: Simplify (/ 1 1) into 1 0.854 * [taylor]: Taking taylor expansion of 1 in x.im 0.854 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.855 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.855 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.855 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.855 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.855 * [taylor]: Taking taylor expansion of y.im in y.re 0.855 * [backup-simplify]: Simplify y.im into y.im 0.855 * [taylor]: Taking taylor expansion of x.im in y.re 0.855 * [backup-simplify]: Simplify x.im into x.im 0.855 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.855 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.856 * [taylor]: Taking taylor expansion of 0 in x.im 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [taylor]: Taking taylor expansion of 1 in y.im 0.856 * [backup-simplify]: Simplify 1 into 1 0.856 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.856 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.857 * [backup-simplify]: Simplify (+ 0 0) into 0 0.857 * [taylor]: Taking taylor expansion of 0 in y.re 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.857 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.857 * [taylor]: Taking taylor expansion of y.im in x.im 0.857 * [backup-simplify]: Simplify y.im into y.im 0.857 * [taylor]: Taking taylor expansion of x.im in x.im 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (* y.im 0) into 0 0.857 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.857 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.857 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.857 * [taylor]: Taking taylor expansion of y.im in y.im 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (/ 1 1) into 1 0.857 * [backup-simplify]: Simplify 1 into 1 0.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.858 * [taylor]: Taking taylor expansion of 0 in x.im 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [taylor]: Taking taylor expansion of 0 in y.im 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [taylor]: Taking taylor expansion of 0 in y.im 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.858 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.859 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.859 * [backup-simplify]: Simplify (+ 0 0) into 0 0.860 * [taylor]: Taking taylor expansion of 0 in y.re 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [taylor]: Taking taylor expansion of 0 in x.im 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.860 * [taylor]: Taking taylor expansion of 0 in x.im 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.860 * [taylor]: Taking taylor expansion of 0 in x.im 0.860 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 0.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 0.861 * [taylor]: Taking taylor expansion of 0 in y.im 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [taylor]: Taking taylor expansion of 0 in y.im 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [taylor]: Taking taylor expansion of 0 in y.im 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [taylor]: Taking taylor expansion of 0 in y.im 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify 0 into 0 0.862 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 0.862 * [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 0.863 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.863 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.863 * [backup-simplify]: Simplify (+ 0 0) into 0 0.863 * [taylor]: Taking taylor expansion of 0 in y.re 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [taylor]: Taking taylor expansion of 0 in x.im 0.863 * [backup-simplify]: Simplify 0 into 0 0.863 * [taylor]: Taking taylor expansion of 0 in x.im 0.863 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.864 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.864 * [taylor]: Taking taylor expansion of 0 in x.im 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.864 * [taylor]: Taking taylor expansion of 0 in x.im 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [taylor]: Taking taylor expansion of 0 in y.im 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [taylor]: Taking taylor expansion of 0 in y.im 0.864 * [backup-simplify]: Simplify 0 into 0 0.864 * [taylor]: Taking taylor expansion of 0 in y.im 0.864 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.865 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 0.865 * [taylor]: Taking taylor expansion of 0 in y.im 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [taylor]: Taking taylor expansion of 0 in y.im 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [taylor]: Taking taylor expansion of 0 in y.im 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [taylor]: Taking taylor expansion of 0 in y.im 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.865 * [backup-simplify]: Simplify 0 into 0 0.866 * [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.re x.re) (* y.im x.im)) 0.866 * * * [progress]: simplifying candidates 0.867 * [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 (+ (* x.re y.re) (* x.im y.im))) (log (sqrt (+ (* y.re y.re) (* y.im y.im))))) (log (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (exp (/ (+ (* 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)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.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))))) (* (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)) (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)))) (/ (+ (* 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)) (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 (+ (* 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)))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.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.re y.re) (* x.im y.im))) (cbrt (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 (* (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))) (sqrt (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 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (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 1)) (/ (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 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (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))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.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.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (* (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))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt 1)) (/ (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 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (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))) (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)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 (sqrt (* (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 (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 (sqrt 1)) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 1) (/ (+ (* x.re y.re) (* x.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.re y.re) (* x.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (* (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 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt 1)) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) 1) (/ (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))) (sqrt (+ (* 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))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))) (/ (+ (* x.re y.re) (* x.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))) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.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))) (* (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)) y.im y.re (* -1 y.re) y.im y.re (* -1 y.re) x.im x.re (* -1 x.re) 0 (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re x.re) (* y.im x.im)) 0.868 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (- (log (+ (* h2 h0) (* h3 h1))) (log (sqrt (+ (* h0 h0) (* h1 h1))))) (log (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (* (* (+ (* h2 h0) (* h3 h1)) (+ (* h2 h0) (* h3 h1))) (+ (* h2 h0) (* h3 h1))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1)))))) (cbrt (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (* (* (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (- (+ (* h2 h0) (* h3 h1))) (- (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (/ (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (/ (cbrt (+ (* h2 h0) (* h3 h1))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (/ (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (cbrt (+ (* h2 h0) (* h3 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (sqrt 1)) (/ (cbrt (+ (* h2 h0) (* h3 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (cbrt (+ (* h2 h0) (* h3 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) 1) (/ (cbrt (+ (* h2 h0) (* h3 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt 1)) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) 1) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ 1 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (/ (+ (* h2 h0) (* h3 h1)) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ 1 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (/ 1 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ 1 (sqrt 1)) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ 1 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ 1 1) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ 1 (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1))) (/ (+ (* h2 h0) (* h3 h1)) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt 1)) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ (* h2 h0) (* h3 h1)) 1) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (* (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* (* h2 h0) (* h2 h0)) (- (* (* h3 h1) (* h3 h1)) (* (* h2 h0) (* h3 h1))))) (* (sqrt (+ (* h0 h0) (* h1 h1))) (- (* h2 h0) (* h3 h1))) (* (exp (* h2 h0)) (exp (* h3 h1))) (log (+ (* h2 h0) (* h3 h1))) (exp (+ (* h2 h0) (* h3 h1))) (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (cbrt (+ (* h2 h0) (* h3 h1))) (* (* (+ (* h2 h0) (* h3 h1)) (+ (* h2 h0) (* h3 h1))) (+ (* h2 h0) (* h3 h1))) (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (+ (* h2 h0) (* h3 h1))) (+ (pow (* h2 h0) 3) (pow (* h3 h1) 3)) (+ (* (* h2 h0) (* h2 h0)) (- (* (* h3 h1) (* h3 h1)) (* (* h2 h0) (* h3 h1)))) (- (* (* h2 h0) (* h2 h0)) (* (* h3 h1) (* h3 h1))) (- (* h2 h0) (* h3 h1)) h1 h0 (* -1 h0) h1 h0 (* -1 h0) h3 h2 (* -1 h2) 0 (+ (* h0 h2) (* h1 h3)) (+ (* h0 h2) (* h1 h3)) 0.873 * * [simplify]: iteration 0 : 273 enodes (cost 893 ) 0.877 * * [simplify]: iteration 1 : 868 enodes (cost 840 ) 0.893 * * [simplify]: iteration 2 : 2693 enodes (cost 828 ) 0.943 * * [simplify]: iteration 3 : 5001 enodes (cost 828 ) 0.947 * * * [progress]: adding candidates to table 1.209 * * [progress]: iteration 3 / 4 1.209 * * * [progress]: picking best candidate 1.228 * * * * [pick]: Picked # 1.228 * * * [progress]: localizing error 1.241 * * * [progress]: generating rewritten candidates 1.241 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 1.249 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 1.259 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.291 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 1.301 * * * [progress]: generating series expansions 1.301 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 1.301 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 1.301 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im) around 0 1.301 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 1.301 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 1.301 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.301 * [taylor]: Taking taylor expansion of y.im in y.im 1.301 * [backup-simplify]: Simplify 0 into 0 1.301 * [backup-simplify]: Simplify 1 into 1 1.301 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.301 * [taylor]: Taking taylor expansion of y.re in y.im 1.301 * [backup-simplify]: Simplify y.re into y.re 1.301 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.301 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 1.301 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 1.301 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.302 * [backup-simplify]: Simplify (+ 0 0) into 0 1.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 1.302 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 1.302 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.302 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.302 * [taylor]: Taking taylor expansion of y.im in y.re 1.302 * [backup-simplify]: Simplify y.im into y.im 1.302 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.302 * [taylor]: Taking taylor expansion of y.re in y.re 1.302 * [backup-simplify]: Simplify 0 into 0 1.302 * [backup-simplify]: Simplify 1 into 1 1.302 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.302 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.302 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 1.302 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.303 * [backup-simplify]: Simplify (+ 0 0) into 0 1.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 1.303 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 1.303 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.303 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.303 * [taylor]: Taking taylor expansion of y.im in y.re 1.303 * [backup-simplify]: Simplify y.im into y.im 1.303 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.303 * [taylor]: Taking taylor expansion of y.re in y.re 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.303 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.303 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 1.303 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.303 * [backup-simplify]: Simplify (+ 0 0) into 0 1.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 1.304 * [taylor]: Taking taylor expansion of y.im in y.im 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [taylor]: Taking taylor expansion of 0 in y.im 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 1.304 * [backup-simplify]: Simplify (* 1 1) into 1 1.304 * [backup-simplify]: Simplify (+ 0 1) into 1 1.305 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 1.305 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im 1.305 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.305 * [backup-simplify]: Simplify 1/2 into 1/2 1.305 * [taylor]: Taking taylor expansion of y.im in y.im 1.305 * [backup-simplify]: Simplify 0 into 0 1.305 * [backup-simplify]: Simplify 1 into 1 1.305 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 1.307 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.307 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0 1.307 * [taylor]: Taking taylor expansion of 0 in y.im 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im 1.308 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.308 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 1.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 1.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 1.308 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 1.308 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.308 * [taylor]: Taking taylor expansion of y.im in y.im 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify (/ 1 1) into 1 1.309 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 1.309 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.309 * [taylor]: Taking taylor expansion of y.re in y.im 1.309 * [backup-simplify]: Simplify y.re into y.re 1.309 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.309 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.309 * [backup-simplify]: Simplify (+ 1 0) into 1 1.309 * [backup-simplify]: Simplify (sqrt 1) into 1 1.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.310 * [backup-simplify]: Simplify (+ 0 0) into 0 1.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.311 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.311 * [taylor]: Taking taylor expansion of y.im in y.re 1.311 * [backup-simplify]: Simplify y.im into y.im 1.311 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.311 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.311 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.311 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.311 * [taylor]: Taking taylor expansion of y.re in y.re 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 1 into 1 1.311 * [backup-simplify]: Simplify (* 1 1) into 1 1.311 * [backup-simplify]: Simplify (/ 1 1) into 1 1.312 * [backup-simplify]: Simplify (+ 0 1) into 1 1.312 * [backup-simplify]: Simplify (sqrt 1) into 1 1.312 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.313 * [backup-simplify]: Simplify (+ 0 0) into 0 1.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.313 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.313 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.313 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.313 * [taylor]: Taking taylor expansion of y.im in y.re 1.313 * [backup-simplify]: Simplify y.im into y.im 1.313 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.314 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.314 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.314 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.314 * [taylor]: Taking taylor expansion of y.re in y.re 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (* 1 1) into 1 1.314 * [backup-simplify]: Simplify (/ 1 1) into 1 1.314 * [backup-simplify]: Simplify (+ 0 1) into 1 1.315 * [backup-simplify]: Simplify (sqrt 1) into 1 1.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.316 * [backup-simplify]: Simplify (+ 0 0) into 0 1.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.316 * [taylor]: Taking taylor expansion of 1 in y.im 1.316 * [backup-simplify]: Simplify 1 into 1 1.316 * [taylor]: Taking taylor expansion of 0 in y.im 1.316 * [backup-simplify]: Simplify 0 into 0 1.316 * [backup-simplify]: Simplify 1 into 1 1.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 1.318 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 1.318 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 1.318 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.318 * [backup-simplify]: Simplify 1/2 into 1/2 1.318 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.318 * [taylor]: Taking taylor expansion of y.im in y.im 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify (* 1 1) into 1 1.319 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 0 into 0 1.320 * [backup-simplify]: Simplify 0 into 0 1.322 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.324 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 1.324 * [taylor]: Taking taylor expansion of 0 in y.im 1.324 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify 0 into 0 1.325 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re 1.325 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.325 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 1.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 1.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 1.326 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.326 * [taylor]: Taking taylor expansion of y.im in y.im 1.326 * [backup-simplify]: Simplify 0 into 0 1.326 * [backup-simplify]: Simplify 1 into 1 1.326 * [backup-simplify]: Simplify (* 1 1) into 1 1.326 * [backup-simplify]: Simplify (/ 1 1) into 1 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 1.326 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.326 * [taylor]: Taking taylor expansion of y.re in y.im 1.326 * [backup-simplify]: Simplify y.re into y.re 1.326 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.326 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.327 * [backup-simplify]: Simplify (+ 1 0) into 1 1.327 * [backup-simplify]: Simplify (sqrt 1) into 1 1.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.328 * [backup-simplify]: Simplify (+ 0 0) into 0 1.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.328 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.328 * [taylor]: Taking taylor expansion of y.im in y.re 1.328 * [backup-simplify]: Simplify y.im into y.im 1.328 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.328 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.328 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.328 * [taylor]: Taking taylor expansion of y.re in y.re 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (* 1 1) into 1 1.329 * [backup-simplify]: Simplify (/ 1 1) into 1 1.329 * [backup-simplify]: Simplify (+ 0 1) into 1 1.329 * [backup-simplify]: Simplify (sqrt 1) into 1 1.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.331 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.331 * [taylor]: Taking taylor expansion of y.im in y.re 1.331 * [backup-simplify]: Simplify y.im into y.im 1.331 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.331 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.331 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.331 * [taylor]: Taking taylor expansion of y.re in y.re 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (* 1 1) into 1 1.332 * [backup-simplify]: Simplify (/ 1 1) into 1 1.332 * [backup-simplify]: Simplify (+ 0 1) into 1 1.332 * [backup-simplify]: Simplify (sqrt 1) into 1 1.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (+ 0 0) into 0 1.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.333 * [taylor]: Taking taylor expansion of 1 in y.im 1.333 * [backup-simplify]: Simplify 1 into 1 1.333 * [taylor]: Taking taylor expansion of 0 in y.im 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.334 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.335 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 1.335 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 1.335 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 1.335 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.335 * [backup-simplify]: Simplify 1/2 into 1/2 1.335 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.335 * [taylor]: Taking taylor expansion of y.im in y.im 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (* 1 1) into 1 1.336 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.338 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (+ 0 0) into 0 1.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 1.339 * [taylor]: Taking taylor expansion of 0 in y.im 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re) 1.340 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 1.340 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 1.340 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im) around 0 1.340 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 1.340 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 1.340 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.340 * [taylor]: Taking taylor expansion of y.im in y.im 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.340 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.340 * [taylor]: Taking taylor expansion of y.re in y.im 1.340 * [backup-simplify]: Simplify y.re into y.re 1.340 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.340 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 1.340 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 1.341 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.341 * [backup-simplify]: Simplify (+ 0 0) into 0 1.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 1.341 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 1.341 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.341 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.341 * [taylor]: Taking taylor expansion of y.im in y.re 1.341 * [backup-simplify]: Simplify y.im into y.im 1.341 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.341 * [taylor]: Taking taylor expansion of y.re in y.re 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.341 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.341 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 1.341 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 1.342 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 1.342 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.342 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.342 * [taylor]: Taking taylor expansion of y.im in y.re 1.342 * [backup-simplify]: Simplify y.im into y.im 1.342 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.342 * [taylor]: Taking taylor expansion of y.re in y.re 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.342 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.342 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 1.342 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 1.342 * [taylor]: Taking taylor expansion of y.im in y.im 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify 0 into 0 1.342 * [taylor]: Taking taylor expansion of 0 in y.im 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 1.343 * [backup-simplify]: Simplify (* 1 1) into 1 1.343 * [backup-simplify]: Simplify (+ 0 1) into 1 1.344 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 1.344 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im 1.344 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.344 * [backup-simplify]: Simplify 1/2 into 1/2 1.344 * [taylor]: Taking taylor expansion of y.im in y.im 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 1 into 1 1.344 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.345 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 1.345 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.346 * [backup-simplify]: Simplify (+ 0 0) into 0 1.346 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0 1.346 * [taylor]: Taking taylor expansion of 0 in y.im 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im 1.347 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.347 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 1.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 1.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 1.347 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.347 * [taylor]: Taking taylor expansion of y.im in y.im 1.347 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify 1 into 1 1.347 * [backup-simplify]: Simplify (* 1 1) into 1 1.347 * [backup-simplify]: Simplify (/ 1 1) into 1 1.347 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 1.347 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.347 * [taylor]: Taking taylor expansion of y.re in y.im 1.347 * [backup-simplify]: Simplify y.re into y.re 1.347 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.347 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.348 * [backup-simplify]: Simplify (+ 1 0) into 1 1.348 * [backup-simplify]: Simplify (sqrt 1) into 1 1.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.349 * [backup-simplify]: Simplify (+ 0 0) into 0 1.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.349 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.349 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.349 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.349 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.349 * [taylor]: Taking taylor expansion of y.im in y.re 1.349 * [backup-simplify]: Simplify y.im into y.im 1.350 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.350 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.350 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.350 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.350 * [taylor]: Taking taylor expansion of y.re in y.re 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 1 into 1 1.350 * [backup-simplify]: Simplify (* 1 1) into 1 1.350 * [backup-simplify]: Simplify (/ 1 1) into 1 1.350 * [backup-simplify]: Simplify (+ 0 1) into 1 1.351 * [backup-simplify]: Simplify (sqrt 1) into 1 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (+ 0 0) into 0 1.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.352 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.352 * [taylor]: Taking taylor expansion of y.im in y.re 1.352 * [backup-simplify]: Simplify y.im into y.im 1.352 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.352 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.352 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.352 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.352 * [taylor]: Taking taylor expansion of y.re in y.re 1.352 * [backup-simplify]: Simplify 0 into 0 1.352 * [backup-simplify]: Simplify 1 into 1 1.353 * [backup-simplify]: Simplify (* 1 1) into 1 1.353 * [backup-simplify]: Simplify (/ 1 1) into 1 1.353 * [backup-simplify]: Simplify (+ 0 1) into 1 1.353 * [backup-simplify]: Simplify (sqrt 1) into 1 1.354 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.354 * [backup-simplify]: Simplify (+ 0 0) into 0 1.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.355 * [taylor]: Taking taylor expansion of 1 in y.im 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [taylor]: Taking taylor expansion of 0 in y.im 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.356 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 1.357 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 1.357 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 1.357 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.357 * [backup-simplify]: Simplify 1/2 into 1/2 1.357 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.357 * [taylor]: Taking taylor expansion of y.im in y.im 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (* 1 1) into 1 1.357 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.358 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.360 * [backup-simplify]: Simplify (+ 0 0) into 0 1.360 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 1.360 * [taylor]: Taking taylor expansion of 0 in y.im 1.360 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.361 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re 1.361 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.361 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 1.361 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 1.361 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 1.361 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 1.362 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.362 * [taylor]: Taking taylor expansion of y.im in y.im 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 1 into 1 1.362 * [backup-simplify]: Simplify (* 1 1) into 1 1.362 * [backup-simplify]: Simplify (/ 1 1) into 1 1.362 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 1.362 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.362 * [taylor]: Taking taylor expansion of y.re in y.im 1.362 * [backup-simplify]: Simplify y.re into y.re 1.362 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.362 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.362 * [backup-simplify]: Simplify (+ 1 0) into 1 1.363 * [backup-simplify]: Simplify (sqrt 1) into 1 1.363 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.364 * [backup-simplify]: Simplify (+ 0 0) into 0 1.364 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.364 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.364 * [taylor]: Taking taylor expansion of y.im in y.re 1.364 * [backup-simplify]: Simplify y.im into y.im 1.364 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.364 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.364 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.364 * [taylor]: Taking taylor expansion of y.re in y.re 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (* 1 1) into 1 1.365 * [backup-simplify]: Simplify (/ 1 1) into 1 1.365 * [backup-simplify]: Simplify (+ 0 1) into 1 1.366 * [backup-simplify]: Simplify (sqrt 1) into 1 1.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.367 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.367 * [taylor]: Taking taylor expansion of y.im in y.re 1.367 * [backup-simplify]: Simplify y.im into y.im 1.367 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.367 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.367 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.367 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.367 * [taylor]: Taking taylor expansion of y.re in y.re 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (* 1 1) into 1 1.368 * [backup-simplify]: Simplify (/ 1 1) into 1 1.368 * [backup-simplify]: Simplify (+ 0 1) into 1 1.368 * [backup-simplify]: Simplify (sqrt 1) into 1 1.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.369 * [backup-simplify]: Simplify (+ 0 0) into 0 1.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.370 * [taylor]: Taking taylor expansion of 1 in y.im 1.370 * [backup-simplify]: Simplify 1 into 1 1.370 * [taylor]: Taking taylor expansion of 0 in y.im 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 1.372 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 1.372 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 1.372 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.372 * [backup-simplify]: Simplify 1/2 into 1/2 1.372 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.372 * [taylor]: Taking taylor expansion of y.im in y.im 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.372 * [backup-simplify]: Simplify (* 1 1) into 1 1.372 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.373 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.375 * [backup-simplify]: Simplify (+ 0 0) into 0 1.375 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 1.375 * [taylor]: Taking taylor expansion of 0 in y.im 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.376 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re) 1.376 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.376 * [backup-simplify]: Simplify (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) 1.376 * [approximate]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in (x.re y.re x.im y.im) around 0 1.376 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in y.im 1.376 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.im 1.376 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.im 1.377 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 1.377 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.377 * [taylor]: Taking taylor expansion of y.im in y.im 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 1 into 1 1.377 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.377 * [taylor]: Taking taylor expansion of y.re in y.im 1.377 * [backup-simplify]: Simplify y.re into y.re 1.377 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.377 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 1.377 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.377 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.re 2))) into (/ 1 y.re) 1.377 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.377 * [backup-simplify]: Simplify (+ 0 0) into 0 1.377 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 1.378 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.re 2))))) into 0 1.378 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 1.378 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 1.378 * [taylor]: Taking taylor expansion of y.re in y.im 1.378 * [backup-simplify]: Simplify y.re into y.re 1.378 * [taylor]: Taking taylor expansion of x.re in y.im 1.378 * [backup-simplify]: Simplify x.re into x.re 1.378 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 1.378 * [taylor]: Taking taylor expansion of y.im in y.im 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 1 into 1 1.378 * [taylor]: Taking taylor expansion of x.im in y.im 1.378 * [backup-simplify]: Simplify x.im into x.im 1.378 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in x.im 1.378 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.im 1.378 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.im 1.378 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.im 1.378 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 1.378 * [taylor]: Taking taylor expansion of y.im in x.im 1.378 * [backup-simplify]: Simplify y.im into y.im 1.378 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 1.378 * [taylor]: Taking taylor expansion of y.re in x.im 1.378 * [backup-simplify]: Simplify y.re into y.re 1.378 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.378 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.378 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 1.378 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 1.378 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 1.378 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.379 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.379 * [backup-simplify]: Simplify (+ 0 0) into 0 1.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 1.379 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 1.379 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 1.379 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 1.379 * [taylor]: Taking taylor expansion of y.re in x.im 1.379 * [backup-simplify]: Simplify y.re into y.re 1.379 * [taylor]: Taking taylor expansion of x.re in x.im 1.379 * [backup-simplify]: Simplify x.re into x.re 1.379 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.379 * [taylor]: Taking taylor expansion of y.im in x.im 1.379 * [backup-simplify]: Simplify y.im into y.im 1.379 * [taylor]: Taking taylor expansion of x.im in x.im 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.380 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in y.re 1.380 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 1.380 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 1.380 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.380 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.380 * [taylor]: Taking taylor expansion of y.im in y.re 1.380 * [backup-simplify]: Simplify y.im into y.im 1.380 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.380 * [taylor]: Taking taylor expansion of y.re in y.re 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.380 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.380 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.380 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.380 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 1.380 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.380 * [backup-simplify]: Simplify (+ 0 0) into 0 1.380 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 1.381 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 1.381 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 1.381 * [taylor]: Taking taylor expansion of y.re in y.re 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.381 * [taylor]: Taking taylor expansion of x.re in y.re 1.381 * [backup-simplify]: Simplify x.re into x.re 1.381 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.381 * [taylor]: Taking taylor expansion of y.im in y.re 1.381 * [backup-simplify]: Simplify y.im into y.im 1.381 * [taylor]: Taking taylor expansion of x.im in y.re 1.381 * [backup-simplify]: Simplify x.im into x.im 1.381 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in x.re 1.381 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.re 1.381 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.re 1.381 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 1.381 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 1.381 * [taylor]: Taking taylor expansion of y.im in x.re 1.381 * [backup-simplify]: Simplify y.im into y.im 1.381 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 1.381 * [taylor]: Taking taylor expansion of y.re in x.re 1.381 * [backup-simplify]: Simplify y.re into y.re 1.381 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.381 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.381 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 1.381 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 1.381 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 1.382 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.382 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.382 * [backup-simplify]: Simplify (+ 0 0) into 0 1.382 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 1.382 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 1.382 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 1.382 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.382 * [taylor]: Taking taylor expansion of y.re in x.re 1.382 * [backup-simplify]: Simplify y.re into y.re 1.382 * [taylor]: Taking taylor expansion of x.re in x.re 1.382 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.383 * [taylor]: Taking taylor expansion of y.im in x.re 1.383 * [backup-simplify]: Simplify y.im into y.im 1.383 * [taylor]: Taking taylor expansion of x.im in x.re 1.383 * [backup-simplify]: Simplify x.im into x.im 1.383 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (+ (* y.re x.re) (* y.im x.im))) in x.re 1.383 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.re 1.383 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.re 1.383 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 1.383 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 1.383 * [taylor]: Taking taylor expansion of y.im in x.re 1.383 * [backup-simplify]: Simplify y.im into y.im 1.383 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 1.383 * [taylor]: Taking taylor expansion of y.re in x.re 1.383 * [backup-simplify]: Simplify y.re into y.re 1.383 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.383 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.383 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 1.383 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 1.383 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 1.383 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.383 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 1.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 1.384 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 1.384 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.384 * [taylor]: Taking taylor expansion of y.re in x.re 1.384 * [backup-simplify]: Simplify y.re into y.re 1.384 * [taylor]: Taking taylor expansion of x.re in x.re 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.384 * [taylor]: Taking taylor expansion of y.im in x.re 1.384 * [backup-simplify]: Simplify y.im into y.im 1.384 * [taylor]: Taking taylor expansion of x.im in x.re 1.384 * [backup-simplify]: Simplify x.im into x.im 1.384 * [backup-simplify]: Simplify (* y.re 0) into 0 1.384 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.385 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 1.385 * [backup-simplify]: Simplify (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) (* y.im x.im)) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.im)) 1.385 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.im)) in y.re 1.385 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 1.385 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 1.385 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.385 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.385 * [taylor]: Taking taylor expansion of y.im in y.re 1.385 * [backup-simplify]: Simplify y.im into y.im 1.385 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.385 * [taylor]: Taking taylor expansion of y.re in y.re 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.385 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.385 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.385 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 1.385 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.386 * [backup-simplify]: Simplify (+ 0 0) into 0 1.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 1.386 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.386 * [taylor]: Taking taylor expansion of y.im in y.re 1.386 * [backup-simplify]: Simplify y.im into y.im 1.386 * [taylor]: Taking taylor expansion of x.im in y.re 1.386 * [backup-simplify]: Simplify x.im into x.im 1.386 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.386 * [backup-simplify]: Simplify (* (/ 1 y.im) (* y.im x.im)) into x.im 1.386 * [taylor]: Taking taylor expansion of x.im in x.im 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.386 * [taylor]: Taking taylor expansion of 0 in y.im 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.386 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.386 * [backup-simplify]: Simplify (+ y.re 0) into y.re 1.387 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) y.re) (* 0 (* y.im x.im))) into (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re) 1.387 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re) in y.re 1.387 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 1.387 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 1.387 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.387 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.387 * [taylor]: Taking taylor expansion of y.im in y.re 1.387 * [backup-simplify]: Simplify y.im into y.im 1.387 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.387 * [taylor]: Taking taylor expansion of y.re in y.re 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.387 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.387 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.387 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 1.387 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.388 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 1.388 * [taylor]: Taking taylor expansion of y.re in y.re 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (* (/ 1 y.im) 0) into 0 1.388 * [taylor]: Taking taylor expansion of 0 in x.im 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [taylor]: Taking taylor expansion of 0 in y.im 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.388 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (* y.im x.im))) into 0 1.388 * [taylor]: Taking taylor expansion of 0 in x.im 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [taylor]: Taking taylor expansion of 0 in y.im 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [taylor]: Taking taylor expansion of 1 in y.im 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 1.389 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 1.389 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 1.390 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 1.390 * [backup-simplify]: Simplify (+ 0 0) into 0 1.390 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))) (* 0 (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 1.391 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))) into 0 1.391 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 0) (+ (* 0 y.re) (* 0 (* y.im x.im)))) into 0 1.391 * [taylor]: Taking taylor expansion of 0 in y.re 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [taylor]: Taking taylor expansion of 0 in x.im 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [taylor]: Taking taylor expansion of 0 in y.im 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 1) (* 0 0)) into (/ 1 y.im) 1.392 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im 1.392 * [taylor]: Taking taylor expansion of y.im in x.im 1.392 * [backup-simplify]: Simplify y.im into y.im 1.392 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 1.392 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 1.392 * [taylor]: Taking taylor expansion of y.im in y.im 1.392 * [backup-simplify]: Simplify 0 into 0 1.392 * [backup-simplify]: Simplify 1 into 1 1.392 * [backup-simplify]: Simplify (/ 1 1) into 1 1.393 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 1.393 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 1.393 * [backup-simplify]: Simplify (* 1 1) into 1 1.394 * [backup-simplify]: Simplify (+ 0 1) into 1 1.394 * [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))) 1.394 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 4))) (pow 0 2) (+)) (* 2 (/ 1 y.im))) into (/ -1/2 (pow y.im 3)) 1.395 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 3)) (* y.im x.im)))) into (- (* 1/2 (/ x.im (pow y.im 2)))) 1.395 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x.im (pow y.im 2)))) in x.im 1.395 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.im (pow y.im 2))) in x.im 1.395 * [taylor]: Taking taylor expansion of 1/2 in x.im 1.395 * [backup-simplify]: Simplify 1/2 into 1/2 1.395 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 2)) in x.im 1.395 * [taylor]: Taking taylor expansion of x.im in x.im 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 1.395 * [taylor]: Taking taylor expansion of y.im in x.im 1.395 * [backup-simplify]: Simplify y.im into y.im 1.395 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.395 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.395 * [taylor]: Taking taylor expansion of 0 in y.im 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [taylor]: Taking taylor expansion of 0 in y.im 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [taylor]: Taking taylor expansion of 0 in y.im 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify (* 1 (* 1 (* x.im (* 1 1)))) into x.im 1.396 * [backup-simplify]: Simplify (/ (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.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))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 1.396 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in (x.re y.re x.im y.im) around 0 1.396 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.im 1.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 1.396 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 1.396 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 1.396 * [taylor]: Taking taylor expansion of y.im in y.im 1.396 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify 1 into 1 1.396 * [taylor]: Taking taylor expansion of x.im in y.im 1.396 * [backup-simplify]: Simplify x.im into x.im 1.396 * [backup-simplify]: Simplify (* 0 x.im) into 0 1.396 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 1.397 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 1.397 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 1.397 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 1.397 * [taylor]: Taking taylor expansion of y.re in y.im 1.397 * [backup-simplify]: Simplify y.re into y.re 1.397 * [taylor]: Taking taylor expansion of x.re in y.im 1.397 * [backup-simplify]: Simplify x.re into x.re 1.397 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 1.397 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 1.397 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.im 1.397 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 1.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 1.397 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.397 * [taylor]: Taking taylor expansion of y.im in y.im 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (* 1 1) into 1 1.397 * [backup-simplify]: Simplify (/ 1 1) into 1 1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 1.397 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.397 * [taylor]: Taking taylor expansion of y.re in y.im 1.397 * [backup-simplify]: Simplify y.re into y.re 1.397 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.397 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.398 * [backup-simplify]: Simplify (+ 1 0) into 1 1.398 * [backup-simplify]: Simplify (/ 1 1) into 1 1.398 * [backup-simplify]: Simplify (sqrt 1) into 1 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.399 * [backup-simplify]: Simplify (+ 0 0) into 0 1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.400 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.im 1.400 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 1.400 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 1.400 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.400 * [taylor]: Taking taylor expansion of y.im in x.im 1.400 * [backup-simplify]: Simplify y.im into y.im 1.400 * [taylor]: Taking taylor expansion of x.im in x.im 1.400 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify 1 into 1 1.400 * [backup-simplify]: Simplify (* y.im 0) into 0 1.400 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 1.400 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 1.400 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 1.401 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 1.401 * [taylor]: Taking taylor expansion of y.re in x.im 1.401 * [backup-simplify]: Simplify y.re into y.re 1.401 * [taylor]: Taking taylor expansion of x.re in x.im 1.401 * [backup-simplify]: Simplify x.re into x.re 1.401 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 1.401 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 1.401 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.im 1.401 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 1.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 1.401 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 1.401 * [taylor]: Taking taylor expansion of y.im in x.im 1.401 * [backup-simplify]: Simplify y.im into y.im 1.401 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.401 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 1.401 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 1.401 * [taylor]: Taking taylor expansion of y.re in x.im 1.401 * [backup-simplify]: Simplify y.re into y.re 1.401 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.401 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.401 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 1.401 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.402 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 1.402 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.402 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.402 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 1.402 * [backup-simplify]: Simplify (+ 0 0) into 0 1.403 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.403 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 1.403 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 1.403 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.403 * [taylor]: Taking taylor expansion of y.im in y.re 1.403 * [backup-simplify]: Simplify y.im into y.im 1.403 * [taylor]: Taking taylor expansion of x.im in y.re 1.403 * [backup-simplify]: Simplify x.im into x.im 1.403 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.403 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.403 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 1.403 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 1.403 * [taylor]: Taking taylor expansion of y.re in y.re 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [taylor]: Taking taylor expansion of x.re in y.re 1.403 * [backup-simplify]: Simplify x.re into x.re 1.403 * [backup-simplify]: Simplify (* 0 x.re) into 0 1.404 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 1.404 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 1.404 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 1.404 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.404 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.404 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.404 * [taylor]: Taking taylor expansion of y.im in y.re 1.404 * [backup-simplify]: Simplify y.im into y.im 1.404 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.404 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.404 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.404 * [taylor]: Taking taylor expansion of y.re in y.re 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (* 1 1) into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.405 * [backup-simplify]: Simplify (+ 0 1) into 1 1.405 * [backup-simplify]: Simplify (/ 1 1) into 1 1.405 * [backup-simplify]: Simplify (sqrt 1) into 1 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (+ 0 0) into 0 1.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.407 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.407 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 1.407 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 1.407 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 1.407 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.407 * [taylor]: Taking taylor expansion of y.im in x.re 1.407 * [backup-simplify]: Simplify y.im into y.im 1.407 * [taylor]: Taking taylor expansion of x.im in x.re 1.407 * [backup-simplify]: Simplify x.im into x.im 1.407 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.407 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.407 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 1.407 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.407 * [taylor]: Taking taylor expansion of y.re in x.re 1.407 * [backup-simplify]: Simplify y.re into y.re 1.407 * [taylor]: Taking taylor expansion of x.re in x.re 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (* y.re 0) into 0 1.408 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.408 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 1.408 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 1.408 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 1.408 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 1.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 1.408 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 1.408 * [taylor]: Taking taylor expansion of y.im in x.re 1.408 * [backup-simplify]: Simplify y.im into y.im 1.408 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.408 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.408 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 1.408 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 1.408 * [taylor]: Taking taylor expansion of y.re in x.re 1.408 * [backup-simplify]: Simplify y.re into y.re 1.408 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.408 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.408 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 1.408 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.409 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 1.409 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.409 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 1.409 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.410 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.410 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 1.410 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 1.410 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 1.410 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.410 * [taylor]: Taking taylor expansion of y.im in x.re 1.410 * [backup-simplify]: Simplify y.im into y.im 1.410 * [taylor]: Taking taylor expansion of x.im in x.re 1.410 * [backup-simplify]: Simplify x.im into x.im 1.410 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.410 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.410 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 1.410 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.410 * [taylor]: Taking taylor expansion of y.re in x.re 1.410 * [backup-simplify]: Simplify y.re into y.re 1.410 * [taylor]: Taking taylor expansion of x.re in x.re 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (* y.re 0) into 0 1.411 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.411 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 1.411 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 1.411 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 1.411 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 1.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 1.411 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 1.411 * [taylor]: Taking taylor expansion of y.im in x.re 1.411 * [backup-simplify]: Simplify y.im into y.im 1.411 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.411 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.411 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 1.411 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 1.411 * [taylor]: Taking taylor expansion of y.re in x.re 1.411 * [backup-simplify]: Simplify y.re into y.re 1.411 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.411 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.411 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 1.411 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.412 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 1.412 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.412 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.412 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 1.412 * [backup-simplify]: Simplify (+ 0 0) into 0 1.413 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.413 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.413 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 1.413 * [backup-simplify]: Simplify (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) 1.413 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) in y.re 1.413 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 1.413 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.413 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.413 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.413 * [taylor]: Taking taylor expansion of y.im in y.re 1.413 * [backup-simplify]: Simplify y.im into y.im 1.414 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.414 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.414 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.414 * [taylor]: Taking taylor expansion of y.re in y.re 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 1 into 1 1.414 * [backup-simplify]: Simplify (* 1 1) into 1 1.414 * [backup-simplify]: Simplify (/ 1 1) into 1 1.414 * [backup-simplify]: Simplify (+ 0 1) into 1 1.415 * [backup-simplify]: Simplify (/ 1 1) into 1 1.415 * [backup-simplify]: Simplify (sqrt 1) into 1 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.417 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 1.417 * [taylor]: Taking taylor expansion of y.re in y.re 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [backup-simplify]: Simplify (/ 1 1) into 1 1.417 * [backup-simplify]: Simplify (* 1 1) into 1 1.417 * [taylor]: Taking taylor expansion of 1 in x.im 1.417 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 1.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 1.418 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 1.418 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 1.418 * [taylor]: Taking taylor expansion of (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 1.418 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 1.418 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.418 * [taylor]: Taking taylor expansion of y.im in y.re 1.418 * [backup-simplify]: Simplify y.im into y.im 1.418 * [taylor]: Taking taylor expansion of x.im in y.re 1.418 * [backup-simplify]: Simplify x.im into x.im 1.419 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.419 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.419 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 1.419 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.419 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.419 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.419 * [taylor]: Taking taylor expansion of y.im in y.re 1.419 * [backup-simplify]: Simplify y.im into y.im 1.419 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.419 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.419 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.419 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.419 * [taylor]: Taking taylor expansion of y.re in y.re 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.419 * [backup-simplify]: Simplify (* 1 1) into 1 1.419 * [backup-simplify]: Simplify (/ 1 1) into 1 1.420 * [backup-simplify]: Simplify (+ 0 1) into 1 1.420 * [backup-simplify]: Simplify (/ 1 1) into 1 1.420 * [backup-simplify]: Simplify (sqrt 1) into 1 1.420 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.426 * [taylor]: Taking taylor expansion of 0 in x.im 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [taylor]: Taking taylor expansion of 1 in y.im 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 1.426 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 1.427 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 1.427 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 1.427 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.428 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.428 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.428 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 1.429 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 1.429 * [backup-simplify]: Simplify (+ 0 0) into 0 1.430 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0 1.430 * [taylor]: Taking taylor expansion of 0 in y.re 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [taylor]: Taking taylor expansion of 0 in x.im 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify (* (/ 1 (* y.im x.im)) 1) into (/ 1 (* y.im x.im)) 1.430 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 1.430 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.430 * [taylor]: Taking taylor expansion of y.im in x.im 1.430 * [backup-simplify]: Simplify y.im into y.im 1.430 * [taylor]: Taking taylor expansion of x.im in x.im 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (* y.im 0) into 0 1.430 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 1.430 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 1.430 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 1.430 * [taylor]: Taking taylor expansion of y.im in y.im 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 1 into 1 1.430 * [backup-simplify]: Simplify (/ 1 1) into 1 1.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.432 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 1.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 1.434 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2)) 1.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 2)) 1))) into (- (* 1/2 (/ 1 (pow y.im 2)))) 1.434 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.im 1.434 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.im 1.434 * [taylor]: Taking taylor expansion of 1/2 in x.im 1.434 * [backup-simplify]: Simplify 1/2 into 1/2 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 1.434 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 1.434 * [taylor]: Taking taylor expansion of y.im in x.im 1.435 * [backup-simplify]: Simplify y.im into y.im 1.435 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.435 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.435 * [taylor]: Taking taylor expansion of 0 in y.im 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [taylor]: Taking taylor expansion of 0 in y.im 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify 0 into 0 1.435 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 1.436 * [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 1.436 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 1.436 * [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 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.438 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 1.439 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.439 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 1.439 * [backup-simplify]: Simplify (+ 0 0) into 0 1.440 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))))) into 0 1.440 * [taylor]: Taking taylor expansion of 0 in y.re 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [taylor]: Taking taylor expansion of 0 in x.im 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [taylor]: Taking taylor expansion of 0 in x.im 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 1.441 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1)) into 0 1.441 * [taylor]: Taking taylor expansion of 0 in x.im 1.441 * [backup-simplify]: Simplify 0 into 0 1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.443 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y.im 2)) 0) (* 0 1)))) into 0 1.445 * [taylor]: Taking taylor expansion of 0 in x.im 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [taylor]: Taking taylor expansion of 0 in y.im 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 1.445 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 1.445 * [taylor]: Taking taylor expansion of 0 in y.im 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 x.re)))))) into x.re 1.446 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.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))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 1.446 * [approximate]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in (x.re y.re x.im y.im) around 0 1.446 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.im 1.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 1.446 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 1.446 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 1.446 * [taylor]: Taking taylor expansion of y.im in y.im 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.446 * [taylor]: Taking taylor expansion of x.im in y.im 1.446 * [backup-simplify]: Simplify x.im into x.im 1.446 * [backup-simplify]: Simplify (* 0 x.im) into 0 1.446 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 1.446 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 1.446 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 1.446 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 1.446 * [taylor]: Taking taylor expansion of y.re in y.im 1.446 * [backup-simplify]: Simplify y.re into y.re 1.446 * [taylor]: Taking taylor expansion of x.re in y.im 1.446 * [backup-simplify]: Simplify x.re into x.re 1.446 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 1.446 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 1.447 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.im 1.447 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 1.447 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 1.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 1.447 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.447 * [taylor]: Taking taylor expansion of y.im in y.im 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [backup-simplify]: Simplify (* 1 1) into 1 1.447 * [backup-simplify]: Simplify (/ 1 1) into 1 1.447 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 1.447 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.447 * [taylor]: Taking taylor expansion of y.re in y.im 1.447 * [backup-simplify]: Simplify y.re into y.re 1.447 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.447 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.448 * [backup-simplify]: Simplify (+ 1 0) into 1 1.448 * [backup-simplify]: Simplify (/ 1 1) into 1 1.448 * [backup-simplify]: Simplify (sqrt 1) into 1 1.448 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.449 * [backup-simplify]: Simplify (+ 0 0) into 0 1.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.450 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.450 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.im 1.450 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 1.450 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 1.450 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.450 * [taylor]: Taking taylor expansion of y.im in x.im 1.450 * [backup-simplify]: Simplify y.im into y.im 1.450 * [taylor]: Taking taylor expansion of x.im in x.im 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (* y.im 0) into 0 1.450 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 1.450 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 1.450 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 1.450 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 1.450 * [taylor]: Taking taylor expansion of y.re in x.im 1.450 * [backup-simplify]: Simplify y.re into y.re 1.450 * [taylor]: Taking taylor expansion of x.re in x.im 1.450 * [backup-simplify]: Simplify x.re into x.re 1.450 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 1.450 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 1.451 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.im 1.451 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 1.451 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 1.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 1.451 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 1.451 * [taylor]: Taking taylor expansion of y.im in x.im 1.451 * [backup-simplify]: Simplify y.im into y.im 1.451 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.451 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.451 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 1.451 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 1.451 * [taylor]: Taking taylor expansion of y.re in x.im 1.451 * [backup-simplify]: Simplify y.re into y.re 1.451 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.451 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.451 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 1.451 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.452 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 1.452 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.452 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 1.452 * [backup-simplify]: Simplify (+ 0 0) into 0 1.453 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.453 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 1.453 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 1.453 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 1.453 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.453 * [taylor]: Taking taylor expansion of y.im in y.re 1.453 * [backup-simplify]: Simplify y.im into y.im 1.453 * [taylor]: Taking taylor expansion of x.im in y.re 1.453 * [backup-simplify]: Simplify x.im into x.im 1.453 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.453 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.453 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 1.453 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 1.453 * [taylor]: Taking taylor expansion of y.re in y.re 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 1 into 1 1.453 * [taylor]: Taking taylor expansion of x.re in y.re 1.453 * [backup-simplify]: Simplify x.re into x.re 1.453 * [backup-simplify]: Simplify (* 0 x.re) into 0 1.453 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 1.454 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 1.454 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 1.454 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.454 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.454 * [taylor]: Taking taylor expansion of y.im in y.re 1.454 * [backup-simplify]: Simplify y.im into y.im 1.454 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.454 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.454 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.454 * [taylor]: Taking taylor expansion of y.re in y.re 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (* 1 1) into 1 1.454 * [backup-simplify]: Simplify (/ 1 1) into 1 1.455 * [backup-simplify]: Simplify (+ 0 1) into 1 1.455 * [backup-simplify]: Simplify (/ 1 1) into 1 1.455 * [backup-simplify]: Simplify (sqrt 1) into 1 1.455 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (+ 0 0) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.457 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 1.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 1.457 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 1.457 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.457 * [taylor]: Taking taylor expansion of y.im in x.re 1.457 * [backup-simplify]: Simplify y.im into y.im 1.457 * [taylor]: Taking taylor expansion of x.im in x.re 1.457 * [backup-simplify]: Simplify x.im into x.im 1.457 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.457 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.457 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 1.457 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.457 * [taylor]: Taking taylor expansion of y.re in x.re 1.457 * [backup-simplify]: Simplify y.re into y.re 1.457 * [taylor]: Taking taylor expansion of x.re in x.re 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [backup-simplify]: Simplify (* y.re 0) into 0 1.457 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.457 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 1.457 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 1.458 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 1.458 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 1.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 1.458 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 1.458 * [taylor]: Taking taylor expansion of y.im in x.re 1.458 * [backup-simplify]: Simplify y.im into y.im 1.458 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.458 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.458 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 1.458 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 1.458 * [taylor]: Taking taylor expansion of y.re in x.re 1.458 * [backup-simplify]: Simplify y.re into y.re 1.458 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.458 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.458 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 1.458 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.459 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 1.459 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.459 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.459 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 1.459 * [backup-simplify]: Simplify (+ 0 0) into 0 1.460 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.460 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in x.re 1.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 1.460 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 1.460 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.460 * [taylor]: Taking taylor expansion of y.im in x.re 1.460 * [backup-simplify]: Simplify y.im into y.im 1.460 * [taylor]: Taking taylor expansion of x.im in x.re 1.460 * [backup-simplify]: Simplify x.im into x.im 1.460 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.460 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.460 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 1.460 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.460 * [taylor]: Taking taylor expansion of y.re in x.re 1.460 * [backup-simplify]: Simplify y.re into y.re 1.460 * [taylor]: Taking taylor expansion of x.re in x.re 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (* y.re 0) into 0 1.460 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.461 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 1.461 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 1.461 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 1.461 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 1.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 1.461 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 1.461 * [taylor]: Taking taylor expansion of y.im in x.re 1.461 * [backup-simplify]: Simplify y.im into y.im 1.461 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.461 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.461 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 1.461 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 1.461 * [taylor]: Taking taylor expansion of y.re in x.re 1.461 * [backup-simplify]: Simplify y.re into y.re 1.461 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.461 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.461 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 1.461 * [backup-simplify]: Simplify (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.462 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) into (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 1.462 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.462 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.462 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.463 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.463 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 1.463 * [backup-simplify]: Simplify (* (/ 1 y.re) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) 1.463 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) in y.re 1.463 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 1.463 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.463 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.463 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.463 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.463 * [taylor]: Taking taylor expansion of y.im in y.re 1.463 * [backup-simplify]: Simplify y.im into y.im 1.463 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.463 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.464 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.464 * [taylor]: Taking taylor expansion of y.re in y.re 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [backup-simplify]: Simplify (* 1 1) into 1 1.464 * [backup-simplify]: Simplify (/ 1 1) into 1 1.464 * [backup-simplify]: Simplify (+ 0 1) into 1 1.464 * [backup-simplify]: Simplify (/ 1 1) into 1 1.465 * [backup-simplify]: Simplify (sqrt 1) into 1 1.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.466 * [backup-simplify]: Simplify (+ 0 0) into 0 1.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.467 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 1.467 * [taylor]: Taking taylor expansion of y.re in y.re 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [backup-simplify]: Simplify (/ 1 1) into 1 1.467 * [backup-simplify]: Simplify (* 1 1) into 1 1.467 * [taylor]: Taking taylor expansion of 1 in x.im 1.467 * [backup-simplify]: Simplify 1 into 1 1.468 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 1.468 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 1.468 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 1.468 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) 1.468 * [taylor]: Taking taylor expansion of (* (/ 1 (* y.im x.im)) (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 1.468 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 1.468 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.468 * [taylor]: Taking taylor expansion of y.im in y.re 1.468 * [backup-simplify]: Simplify y.im into y.im 1.468 * [taylor]: Taking taylor expansion of x.im in y.re 1.468 * [backup-simplify]: Simplify x.im into x.im 1.468 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.468 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.468 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 1.468 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.468 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.468 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.469 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.469 * [taylor]: Taking taylor expansion of y.im in y.re 1.469 * [backup-simplify]: Simplify y.im into y.im 1.469 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.469 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.469 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.469 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.469 * [taylor]: Taking taylor expansion of y.re in y.re 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.469 * [backup-simplify]: Simplify (* 1 1) into 1 1.469 * [backup-simplify]: Simplify (/ 1 1) into 1 1.469 * [backup-simplify]: Simplify (+ 0 1) into 1 1.470 * [backup-simplify]: Simplify (/ 1 1) into 1 1.470 * [backup-simplify]: Simplify (sqrt 1) into 1 1.470 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.471 * [backup-simplify]: Simplify (+ 0 0) into 0 1.471 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.472 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.472 * [taylor]: Taking taylor expansion of 0 in x.im 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [taylor]: Taking taylor expansion of 1 in y.im 1.473 * [backup-simplify]: Simplify 1 into 1 1.473 * [backup-simplify]: Simplify 1 into 1 1.473 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 1.473 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 1.473 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 1.474 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 1.474 * [backup-simplify]: Simplify (+ 0 0) into 0 1.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.475 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.475 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.475 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 1.476 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.476 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.476 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))))) into 0 1.476 * [taylor]: Taking taylor expansion of 0 in y.re 1.476 * [backup-simplify]: Simplify 0 into 0 1.477 * [taylor]: Taking taylor expansion of 0 in x.im 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify (* (/ 1 (* y.im x.im)) 1) into (/ 1 (* y.im x.im)) 1.477 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 1.477 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.477 * [taylor]: Taking taylor expansion of y.im in x.im 1.477 * [backup-simplify]: Simplify y.im into y.im 1.477 * [taylor]: Taking taylor expansion of x.im in x.im 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (* y.im 0) into 0 1.477 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 1.477 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 1.477 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 1.477 * [taylor]: Taking taylor expansion of y.im in y.im 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (/ 1 1) into 1 1.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.479 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 1.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 1.481 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2)) 1.481 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 2)) 1))) into (- (* 1/2 (/ 1 (pow y.im 2)))) 1.481 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.im 1.481 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.im 1.481 * [taylor]: Taking taylor expansion of 1/2 in x.im 1.481 * [backup-simplify]: Simplify 1/2 into 1/2 1.481 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 1.481 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 1.481 * [taylor]: Taking taylor expansion of y.im in x.im 1.481 * [backup-simplify]: Simplify y.im into y.im 1.481 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.481 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.482 * [taylor]: Taking taylor expansion of 0 in y.im 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [taylor]: Taking taylor expansion of 0 in y.im 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 1.482 * [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 1.483 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 1.483 * [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 1.484 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.485 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 1.485 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 1.486 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.486 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 1.486 * [backup-simplify]: Simplify (+ 0 0) into 0 1.487 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) 0) (+ (* (/ 1 (* y.im x.im)) 0) (+ (* 0 0) (* 0 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))))) into 0 1.487 * [taylor]: Taking taylor expansion of 0 in y.re 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [taylor]: Taking taylor expansion of 0 in x.im 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [taylor]: Taking taylor expansion of 0 in x.im 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.487 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 1.487 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1)) into 0 1.487 * [taylor]: Taking taylor expansion of 0 in x.im 1.487 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify (+ 0 0) into 0 1.490 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0 1.491 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y.im 2)) 0) (* 0 1)))) into 0 1.491 * [taylor]: Taking taylor expansion of 0 in x.im 1.491 * [backup-simplify]: Simplify 0 into 0 1.492 * [taylor]: Taking taylor expansion of 0 in y.im 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 1.492 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 1.492 * [taylor]: Taking taylor expansion of 0 in y.im 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x.re))))))) into (* -1 x.re) 1.492 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.492 * [backup-simplify]: Simplify (+ (* x.re y.re) (* x.im y.im)) into (+ (* y.re x.re) (* y.im x.im)) 1.492 * [approximate]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in (x.re y.re x.im y.im) around 0 1.492 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 1.492 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 1.492 * [taylor]: Taking taylor expansion of y.re in y.im 1.492 * [backup-simplify]: Simplify y.re into y.re 1.492 * [taylor]: Taking taylor expansion of x.re in y.im 1.492 * [backup-simplify]: Simplify x.re into x.re 1.493 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 1.493 * [taylor]: Taking taylor expansion of y.im in y.im 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [taylor]: Taking taylor expansion of x.im in y.im 1.493 * [backup-simplify]: Simplify x.im into x.im 1.493 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 1.493 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 1.493 * [taylor]: Taking taylor expansion of y.re in x.im 1.493 * [backup-simplify]: Simplify y.re into y.re 1.493 * [taylor]: Taking taylor expansion of x.re in x.im 1.493 * [backup-simplify]: Simplify x.re into x.re 1.493 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.493 * [taylor]: Taking taylor expansion of y.im in x.im 1.493 * [backup-simplify]: Simplify y.im into y.im 1.493 * [taylor]: Taking taylor expansion of x.im in x.im 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 1.493 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 1.493 * [taylor]: Taking taylor expansion of y.re in y.re 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [taylor]: Taking taylor expansion of x.re in y.re 1.493 * [backup-simplify]: Simplify x.re into x.re 1.493 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.493 * [taylor]: Taking taylor expansion of y.im in y.re 1.493 * [backup-simplify]: Simplify y.im into y.im 1.493 * [taylor]: Taking taylor expansion of x.im in y.re 1.493 * [backup-simplify]: Simplify x.im into x.im 1.493 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 1.493 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.493 * [taylor]: Taking taylor expansion of y.re in x.re 1.493 * [backup-simplify]: Simplify y.re into y.re 1.493 * [taylor]: Taking taylor expansion of x.re in x.re 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.493 * [taylor]: Taking taylor expansion of y.im in x.re 1.493 * [backup-simplify]: Simplify y.im into y.im 1.493 * [taylor]: Taking taylor expansion of x.im in x.re 1.493 * [backup-simplify]: Simplify x.im into x.im 1.493 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 1.493 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.493 * [taylor]: Taking taylor expansion of y.re in x.re 1.493 * [backup-simplify]: Simplify y.re into y.re 1.493 * [taylor]: Taking taylor expansion of x.re in x.re 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.493 * [taylor]: Taking taylor expansion of y.im in x.re 1.493 * [backup-simplify]: Simplify y.im into y.im 1.493 * [taylor]: Taking taylor expansion of x.im in x.re 1.493 * [backup-simplify]: Simplify x.im into x.im 1.493 * [backup-simplify]: Simplify (* y.re 0) into 0 1.493 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.493 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 1.493 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.493 * [taylor]: Taking taylor expansion of y.im in y.re 1.493 * [backup-simplify]: Simplify y.im into y.im 1.494 * [taylor]: Taking taylor expansion of x.im in y.re 1.494 * [backup-simplify]: Simplify x.im into x.im 1.494 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.494 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.494 * [taylor]: Taking taylor expansion of y.im in x.im 1.494 * [backup-simplify]: Simplify y.im into y.im 1.494 * [taylor]: Taking taylor expansion of x.im in x.im 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 1 into 1 1.494 * [backup-simplify]: Simplify (* y.im 0) into 0 1.494 * [taylor]: Taking taylor expansion of 0 in y.im 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.494 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.494 * [backup-simplify]: Simplify (+ y.re 0) into y.re 1.494 * [taylor]: Taking taylor expansion of y.re in y.re 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 1 into 1 1.494 * [taylor]: Taking taylor expansion of 0 in x.im 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [taylor]: Taking taylor expansion of 0 in y.im 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.494 * [taylor]: Taking taylor expansion of 0 in x.im 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [taylor]: Taking taylor expansion of 0 in y.im 1.494 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 1.495 * [taylor]: Taking taylor expansion of y.im in y.im 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 1 into 1 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify 0 into 0 1.495 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 1.495 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 1.496 * [backup-simplify]: Simplify (+ 0 0) into 0 1.496 * [taylor]: Taking taylor expansion of 0 in y.re 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [taylor]: Taking taylor expansion of 0 in x.im 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [taylor]: Taking taylor expansion of 0 in y.im 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 1.496 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.re y.re x.im y.im) around 0 1.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 1.496 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 1.496 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 1.496 * [taylor]: Taking taylor expansion of y.im in y.im 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 1 into 1 1.496 * [taylor]: Taking taylor expansion of x.im in y.im 1.496 * [backup-simplify]: Simplify x.im into x.im 1.496 * [backup-simplify]: Simplify (* 0 x.im) into 0 1.496 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 1.496 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 1.496 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 1.496 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 1.496 * [taylor]: Taking taylor expansion of y.re in y.im 1.496 * [backup-simplify]: Simplify y.re into y.re 1.496 * [taylor]: Taking taylor expansion of x.re in y.im 1.497 * [backup-simplify]: Simplify x.re into x.re 1.497 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 1.497 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 1.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 1.497 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 1.497 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.497 * [taylor]: Taking taylor expansion of y.im in x.im 1.497 * [backup-simplify]: Simplify y.im into y.im 1.497 * [taylor]: Taking taylor expansion of x.im in x.im 1.497 * [backup-simplify]: Simplify 0 into 0 1.497 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (* y.im 0) into 0 1.497 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 1.497 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 1.497 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 1.497 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 1.497 * [taylor]: Taking taylor expansion of y.re in x.im 1.497 * [backup-simplify]: Simplify y.re into y.re 1.497 * [taylor]: Taking taylor expansion of x.re in x.im 1.497 * [backup-simplify]: Simplify x.re into x.re 1.497 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 1.497 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 1.497 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 1.497 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 1.497 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.497 * [taylor]: Taking taylor expansion of y.im in y.re 1.497 * [backup-simplify]: Simplify y.im into y.im 1.497 * [taylor]: Taking taylor expansion of x.im in y.re 1.497 * [backup-simplify]: Simplify x.im into x.im 1.497 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.497 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.497 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 1.497 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 1.497 * [taylor]: Taking taylor expansion of y.re in y.re 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 1 into 1 1.498 * [taylor]: Taking taylor expansion of x.re in y.re 1.498 * [backup-simplify]: Simplify x.re into x.re 1.498 * [backup-simplify]: Simplify (* 0 x.re) into 0 1.498 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 1.498 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 1.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 1.498 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 1.498 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.498 * [taylor]: Taking taylor expansion of y.im in x.re 1.498 * [backup-simplify]: Simplify y.im into y.im 1.498 * [taylor]: Taking taylor expansion of x.im in x.re 1.498 * [backup-simplify]: Simplify x.im into x.im 1.498 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.498 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.498 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 1.498 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.498 * [taylor]: Taking taylor expansion of y.re in x.re 1.498 * [backup-simplify]: Simplify y.re into y.re 1.498 * [taylor]: Taking taylor expansion of x.re in x.re 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 1 into 1 1.498 * [backup-simplify]: Simplify (* y.re 0) into 0 1.498 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.499 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 1.499 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 1.499 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 1.499 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.499 * [taylor]: Taking taylor expansion of y.im in x.re 1.499 * [backup-simplify]: Simplify y.im into y.im 1.499 * [taylor]: Taking taylor expansion of x.im in x.re 1.499 * [backup-simplify]: Simplify x.im into x.im 1.499 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.499 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.499 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 1.499 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.499 * [taylor]: Taking taylor expansion of y.re in x.re 1.499 * [backup-simplify]: Simplify y.re into y.re 1.499 * [taylor]: Taking taylor expansion of x.re in x.re 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 1 into 1 1.499 * [backup-simplify]: Simplify (* y.re 0) into 0 1.499 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.499 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 1.499 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 1.499 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 1.499 * [taylor]: Taking taylor expansion of y.re in y.re 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (/ 1 1) into 1 1.500 * [taylor]: Taking taylor expansion of 1 in x.im 1.500 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 1.500 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 1.500 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 1.500 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.500 * [taylor]: Taking taylor expansion of y.im in y.re 1.500 * [backup-simplify]: Simplify y.im into y.im 1.500 * [taylor]: Taking taylor expansion of x.im in y.re 1.500 * [backup-simplify]: Simplify x.im into x.im 1.500 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.500 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.501 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.501 * [taylor]: Taking taylor expansion of 0 in x.im 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [taylor]: Taking taylor expansion of 1 in y.im 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.501 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 1.501 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.502 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [taylor]: Taking taylor expansion of 0 in y.re 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 1.502 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.502 * [taylor]: Taking taylor expansion of y.im in x.im 1.502 * [backup-simplify]: Simplify y.im into y.im 1.502 * [taylor]: Taking taylor expansion of x.im in x.im 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.502 * [backup-simplify]: Simplify (* y.im 0) into 0 1.502 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 1.502 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 1.502 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 1.502 * [taylor]: Taking taylor expansion of y.im in y.im 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (/ 1 1) into 1 1.503 * [backup-simplify]: Simplify 1 into 1 1.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.503 * [taylor]: Taking taylor expansion of 0 in x.im 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [taylor]: Taking taylor expansion of 0 in y.im 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [taylor]: Taking taylor expansion of 0 in y.im 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 1.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 1.504 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.504 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 1.505 * [backup-simplify]: Simplify (+ 0 0) into 0 1.505 * [taylor]: Taking taylor expansion of 0 in y.re 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [taylor]: Taking taylor expansion of 0 in x.im 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.505 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 1.505 * [taylor]: Taking taylor expansion of 0 in x.im 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.505 * [taylor]: Taking taylor expansion of 0 in x.im 1.505 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 1.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 1.506 * [taylor]: Taking taylor expansion of 0 in y.im 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [taylor]: Taking taylor expansion of 0 in y.im 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [taylor]: Taking taylor expansion of 0 in y.im 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [taylor]: Taking taylor expansion of 0 in y.im 1.506 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 1.507 * [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 1.508 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 1.508 * [backup-simplify]: Simplify (+ 0 0) into 0 1.508 * [taylor]: Taking taylor expansion of 0 in y.re 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [taylor]: Taking taylor expansion of 0 in x.im 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [taylor]: Taking taylor expansion of 0 in x.im 1.508 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 1.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 1.509 * [taylor]: Taking taylor expansion of 0 in x.im 1.509 * [backup-simplify]: Simplify 0 into 0 1.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.509 * [taylor]: Taking taylor expansion of 0 in x.im 1.509 * [backup-simplify]: Simplify 0 into 0 1.510 * [taylor]: Taking taylor expansion of 0 in y.im 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [taylor]: Taking taylor expansion of 0 in y.im 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [taylor]: Taking taylor expansion of 0 in y.im 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.510 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 1.510 * [taylor]: Taking taylor expansion of 0 in y.im 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [taylor]: Taking taylor expansion of 0 in y.im 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [taylor]: Taking taylor expansion of 0 in y.im 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [taylor]: Taking taylor expansion of 0 in y.im 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify 0 into 0 1.511 * [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.re x.re) (* y.im x.im)) 1.511 * [backup-simplify]: Simplify (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 1.511 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.re y.re x.im y.im) around 0 1.511 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 1.511 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 1.511 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 1.511 * [taylor]: Taking taylor expansion of y.im in y.im 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.511 * [taylor]: Taking taylor expansion of x.im in y.im 1.511 * [backup-simplify]: Simplify x.im into x.im 1.511 * [backup-simplify]: Simplify (* 0 x.im) into 0 1.512 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 1.512 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 1.512 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 1.512 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 1.512 * [taylor]: Taking taylor expansion of y.re in y.im 1.512 * [backup-simplify]: Simplify y.re into y.re 1.512 * [taylor]: Taking taylor expansion of x.re in y.im 1.512 * [backup-simplify]: Simplify x.re into x.re 1.512 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 1.512 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 1.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 1.512 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 1.512 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.512 * [taylor]: Taking taylor expansion of y.im in x.im 1.512 * [backup-simplify]: Simplify y.im into y.im 1.512 * [taylor]: Taking taylor expansion of x.im in x.im 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 1 into 1 1.512 * [backup-simplify]: Simplify (* y.im 0) into 0 1.512 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 1.512 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 1.512 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 1.512 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 1.512 * [taylor]: Taking taylor expansion of y.re in x.im 1.512 * [backup-simplify]: Simplify y.re into y.re 1.512 * [taylor]: Taking taylor expansion of x.re in x.im 1.512 * [backup-simplify]: Simplify x.re into x.re 1.512 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 1.512 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 1.512 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 1.512 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 1.512 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.512 * [taylor]: Taking taylor expansion of y.im in y.re 1.512 * [backup-simplify]: Simplify y.im into y.im 1.512 * [taylor]: Taking taylor expansion of x.im in y.re 1.512 * [backup-simplify]: Simplify x.im into x.im 1.513 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.513 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.513 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 1.513 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 1.513 * [taylor]: Taking taylor expansion of y.re in y.re 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 1 into 1 1.513 * [taylor]: Taking taylor expansion of x.re in y.re 1.513 * [backup-simplify]: Simplify x.re into x.re 1.513 * [backup-simplify]: Simplify (* 0 x.re) into 0 1.513 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 1.513 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 1.513 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 1.513 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 1.513 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.513 * [taylor]: Taking taylor expansion of y.im in x.re 1.513 * [backup-simplify]: Simplify y.im into y.im 1.513 * [taylor]: Taking taylor expansion of x.im in x.re 1.513 * [backup-simplify]: Simplify x.im into x.im 1.513 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.513 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.513 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 1.513 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.513 * [taylor]: Taking taylor expansion of y.re in x.re 1.513 * [backup-simplify]: Simplify y.re into y.re 1.513 * [taylor]: Taking taylor expansion of x.re in x.re 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 1 into 1 1.513 * [backup-simplify]: Simplify (* y.re 0) into 0 1.514 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.514 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 1.514 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 1.514 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 1.514 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 1.514 * [taylor]: Taking taylor expansion of y.im in x.re 1.514 * [backup-simplify]: Simplify y.im into y.im 1.514 * [taylor]: Taking taylor expansion of x.im in x.re 1.514 * [backup-simplify]: Simplify x.im into x.im 1.514 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.514 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.514 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 1.514 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 1.514 * [taylor]: Taking taylor expansion of y.re in x.re 1.514 * [backup-simplify]: Simplify y.re into y.re 1.514 * [taylor]: Taking taylor expansion of x.re in x.re 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.514 * [backup-simplify]: Simplify (* y.re 0) into 0 1.514 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 1.514 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 1.514 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 1.514 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 1.514 * [taylor]: Taking taylor expansion of y.re in y.re 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (/ 1 1) into 1 1.515 * [taylor]: Taking taylor expansion of 1 in x.im 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 1.515 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 1.515 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 1.515 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 1.515 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 1.515 * [taylor]: Taking taylor expansion of y.im in y.re 1.515 * [backup-simplify]: Simplify y.im into y.im 1.515 * [taylor]: Taking taylor expansion of x.im in y.re 1.515 * [backup-simplify]: Simplify x.im into x.im 1.515 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 1.515 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 1.516 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.516 * [taylor]: Taking taylor expansion of 0 in x.im 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [taylor]: Taking taylor expansion of 1 in y.im 1.516 * [backup-simplify]: Simplify 1 into 1 1.516 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.516 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 1.517 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.517 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 1.517 * [backup-simplify]: Simplify (+ 0 0) into 0 1.517 * [taylor]: Taking taylor expansion of 0 in y.re 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 1.517 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 1.517 * [taylor]: Taking taylor expansion of y.im in x.im 1.517 * [backup-simplify]: Simplify y.im into y.im 1.517 * [taylor]: Taking taylor expansion of x.im in x.im 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 1 into 1 1.517 * [backup-simplify]: Simplify (* y.im 0) into 0 1.518 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 1.518 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 1.518 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 1.518 * [taylor]: Taking taylor expansion of y.im in y.im 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [backup-simplify]: Simplify (/ 1 1) into 1 1.518 * [backup-simplify]: Simplify 1 into 1 1.518 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.518 * [taylor]: Taking taylor expansion of 0 in x.im 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [taylor]: Taking taylor expansion of 0 in y.im 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [taylor]: Taking taylor expansion of 0 in y.im 1.519 * [backup-simplify]: Simplify 0 into 0 1.519 * [backup-simplify]: Simplify 1 into 1 1.519 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 1.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 1.520 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 1.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 1.520 * [backup-simplify]: Simplify (+ 0 0) into 0 1.520 * [taylor]: Taking taylor expansion of 0 in y.re 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [taylor]: Taking taylor expansion of 0 in x.im 1.520 * [backup-simplify]: Simplify 0 into 0 1.520 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 1.520 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 1.520 * [taylor]: Taking taylor expansion of 0 in x.im 1.520 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.521 * [taylor]: Taking taylor expansion of 0 in x.im 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 1.521 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 1.521 * [taylor]: Taking taylor expansion of 0 in y.im 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [taylor]: Taking taylor expansion of 0 in y.im 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [taylor]: Taking taylor expansion of 0 in y.im 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [taylor]: Taking taylor expansion of 0 in y.im 1.521 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify 0 into 0 1.522 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 1.523 * [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 1.526 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 1.526 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [taylor]: Taking taylor expansion of 0 in y.re 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [taylor]: Taking taylor expansion of 0 in x.im 1.526 * [backup-simplify]: Simplify 0 into 0 1.526 * [taylor]: Taking taylor expansion of 0 in x.im 1.526 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 1.527 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 1.527 * [taylor]: Taking taylor expansion of 0 in x.im 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.527 * [taylor]: Taking taylor expansion of 0 in x.im 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [taylor]: Taking taylor expansion of 0 in y.im 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [taylor]: Taking taylor expansion of 0 in y.im 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [taylor]: Taking taylor expansion of 0 in y.im 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.528 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 1.528 * [taylor]: Taking taylor expansion of 0 in y.im 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [taylor]: Taking taylor expansion of 0 in y.im 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [taylor]: Taking taylor expansion of 0 in y.im 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [taylor]: Taking taylor expansion of 0 in y.im 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.528 * [backup-simplify]: Simplify 0 into 0 1.529 * [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.re x.re) (* y.im x.im)) 1.529 * * * [progress]: simplifying candidates 1.530 * [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 (+ (* x.re y.re) (* x.im y.im))) (log (sqrt (+ (* y.re y.re) (* y.im y.im))))) (log (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im))))) (exp (/ (+ (* 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)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.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))))) (* (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)) (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)))) (/ (+ (* 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)) (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 (+ (* 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)))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.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.re y.re) (* x.im y.im))) (cbrt (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 (* (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))) (sqrt (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 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (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 1)) (/ (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 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (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))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.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.re y.re) (* x.im y.im))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (* (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))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt 1)) (/ (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 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (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))) (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)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 (sqrt (* (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 (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 (sqrt 1)) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 1) (/ (+ (* x.re y.re) (* x.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.re y.re) (* x.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (* (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 (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt 1)) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) 1) (/ (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))) (sqrt (+ (* 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))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3)))) (/ (+ (* x.re y.re) (* x.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))) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.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))) (* (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)) y.im y.re (* -1 y.re) y.im y.re (* -1 y.re) x.im x.re (* -1 x.re) 0 (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re x.re) (* y.im x.im)) 1.531 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (- (log (+ (* h2 h0) (* h3 h1))) (log (sqrt (+ (* h0 h0) (* h1 h1))))) (log (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (* (* (+ (* h2 h0) (* h3 h1)) (+ (* h2 h0) (* h3 h1))) (+ (* h2 h0) (* h3 h1))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1)))))) (cbrt (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (* (* (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1))))) (- (+ (* h2 h0) (* h3 h1))) (- (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (/ (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (/ (cbrt (+ (* h2 h0) (* h3 h1))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (/ (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (cbrt (+ (* h2 h0) (* h3 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (sqrt 1)) (/ (cbrt (+ (* h2 h0) (* h3 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (cbrt (+ (* h2 h0) (* h3 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) 1) (/ (cbrt (+ (* h2 h0) (* h3 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt 1)) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (sqrt (+ (* h2 h0) (* h3 h1))) 1) (/ (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ 1 (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (/ (+ (* h2 h0) (* h3 h1)) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ 1 (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (/ 1 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ 1 (sqrt 1)) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ 1 (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ 1 1) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ 1 (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1))) (/ (+ (* h2 h0) (* h3 h1)) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt 1)) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ (* h2 h0) (* h3 h1)) 1) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))))) (* (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* (* h2 h0) (* h2 h0)) (- (* (* h3 h1) (* h3 h1)) (* (* h2 h0) (* h3 h1))))) (* (sqrt (+ (* h0 h0) (* h1 h1))) (- (* h2 h0) (* h3 h1))) (* (exp (* h2 h0)) (exp (* h3 h1))) (log (+ (* h2 h0) (* h3 h1))) (exp (+ (* h2 h0) (* h3 h1))) (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (cbrt (+ (* h2 h0) (* h3 h1))) (* (* (+ (* h2 h0) (* h3 h1)) (+ (* h2 h0) (* h3 h1))) (+ (* h2 h0) (* h3 h1))) (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (+ (* h2 h0) (* h3 h1))) (+ (pow (* h2 h0) 3) (pow (* h3 h1) 3)) (+ (* (* h2 h0) (* h2 h0)) (- (* (* h3 h1) (* h3 h1)) (* (* h2 h0) (* h3 h1)))) (- (* (* h2 h0) (* h2 h0)) (* (* h3 h1) (* h3 h1))) (- (* h2 h0) (* h3 h1)) h1 h0 (* -1 h0) h1 h0 (* -1 h0) h3 h2 (* -1 h2) 0 (+ (* h0 h2) (* h1 h3)) (+ (* h0 h2) (* h1 h3)) 1.536 * * [simplify]: iteration 0 : 273 enodes (cost 893 ) 1.540 * * [simplify]: iteration 1 : 868 enodes (cost 840 ) 1.555 * * [simplify]: iteration 2 : 2693 enodes (cost 828 ) 1.602 * * [simplify]: iteration 3 : 5001 enodes (cost 828 ) 1.606 * * * [progress]: adding candidates to table 1.859 * * [progress]: iteration 4 / 4 1.859 * * * [progress]: picking best candidate 1.880 * * * * [pick]: Picked # 1.880 * * * [progress]: localizing error 1.893 * * * [progress]: generating rewritten candidates 1.893 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 1.901 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2 1) 1.909 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2) 1.934 * * * * [progress]: [ 4 / 4 ] rewriting at (2 1 2 2) 1.944 * * * [progress]: generating series expansions 1.944 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 1.944 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 1.944 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im) around 0 1.944 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 1.944 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 1.944 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.944 * [taylor]: Taking taylor expansion of y.im in y.im 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.944 * [taylor]: Taking taylor expansion of y.re in y.im 1.944 * [backup-simplify]: Simplify y.re into y.re 1.944 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.944 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 1.944 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 1.944 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.945 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 1.945 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 1.945 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.945 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.945 * [taylor]: Taking taylor expansion of y.im in y.re 1.945 * [backup-simplify]: Simplify y.im into y.im 1.945 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.945 * [taylor]: Taking taylor expansion of y.re in y.re 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.945 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.945 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 1.945 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 1.946 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 1.946 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.946 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.946 * [taylor]: Taking taylor expansion of y.im in y.re 1.946 * [backup-simplify]: Simplify y.im into y.im 1.946 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.946 * [taylor]: Taking taylor expansion of y.re in y.re 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.946 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.946 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 1.946 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 1.947 * [taylor]: Taking taylor expansion of y.im in y.im 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [taylor]: Taking taylor expansion of 0 in y.im 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 1.948 * [backup-simplify]: Simplify (* 1 1) into 1 1.948 * [backup-simplify]: Simplify (+ 0 1) into 1 1.949 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 1.949 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im 1.949 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.949 * [backup-simplify]: Simplify 1/2 into 1/2 1.949 * [taylor]: Taking taylor expansion of y.im in y.im 1.949 * [backup-simplify]: Simplify 0 into 0 1.949 * [backup-simplify]: Simplify 1 into 1 1.950 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.950 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 1.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.952 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0 1.952 * [taylor]: Taking taylor expansion of 0 in y.im 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im 1.954 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.954 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 1.954 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 1.954 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 1.954 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 1.954 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.954 * [taylor]: Taking taylor expansion of y.im in y.im 1.954 * [backup-simplify]: Simplify 0 into 0 1.954 * [backup-simplify]: Simplify 1 into 1 1.954 * [backup-simplify]: Simplify (* 1 1) into 1 1.955 * [backup-simplify]: Simplify (/ 1 1) into 1 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 1.955 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.955 * [taylor]: Taking taylor expansion of y.re in y.im 1.955 * [backup-simplify]: Simplify y.re into y.re 1.955 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.955 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.955 * [backup-simplify]: Simplify (+ 1 0) into 1 1.956 * [backup-simplify]: Simplify (sqrt 1) into 1 1.956 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (+ 0 0) into 0 1.958 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.958 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.958 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.958 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.958 * [taylor]: Taking taylor expansion of y.im in y.re 1.958 * [backup-simplify]: Simplify y.im into y.im 1.958 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.958 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.958 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.958 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.958 * [taylor]: Taking taylor expansion of y.re in y.re 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (* 1 1) into 1 1.959 * [backup-simplify]: Simplify (/ 1 1) into 1 1.960 * [backup-simplify]: Simplify (+ 0 1) into 1 1.960 * [backup-simplify]: Simplify (sqrt 1) into 1 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.962 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.962 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.962 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.962 * [taylor]: Taking taylor expansion of y.im in y.re 1.962 * [backup-simplify]: Simplify y.im into y.im 1.962 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.962 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.962 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.962 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.963 * [taylor]: Taking taylor expansion of y.re in y.re 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [backup-simplify]: Simplify (* 1 1) into 1 1.963 * [backup-simplify]: Simplify (/ 1 1) into 1 1.964 * [backup-simplify]: Simplify (+ 0 1) into 1 1.964 * [backup-simplify]: Simplify (sqrt 1) into 1 1.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.965 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.966 * [taylor]: Taking taylor expansion of 1 in y.im 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [taylor]: Taking taylor expansion of 0 in y.im 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.968 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 1.969 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 1.969 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 1.969 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.969 * [backup-simplify]: Simplify 1/2 into 1/2 1.969 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.969 * [taylor]: Taking taylor expansion of y.im in y.im 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (* 1 1) into 1 1.970 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.973 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.974 * [backup-simplify]: Simplify (+ 0 0) into 0 1.974 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 1.974 * [taylor]: Taking taylor expansion of 0 in y.im 1.974 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.976 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re 1.977 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 1.977 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 1.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 1.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 1.977 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.977 * [taylor]: Taking taylor expansion of y.im in y.im 1.977 * [backup-simplify]: Simplify 0 into 0 1.977 * [backup-simplify]: Simplify 1 into 1 1.977 * [backup-simplify]: Simplify (* 1 1) into 1 1.977 * [backup-simplify]: Simplify (/ 1 1) into 1 1.977 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 1.977 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.977 * [taylor]: Taking taylor expansion of y.re in y.im 1.978 * [backup-simplify]: Simplify y.re into y.re 1.978 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.978 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 1.978 * [backup-simplify]: Simplify (+ 1 0) into 1 1.978 * [backup-simplify]: Simplify (sqrt 1) into 1 1.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (+ 0 0) into 0 1.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.981 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.981 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.981 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.981 * [taylor]: Taking taylor expansion of y.im in y.re 1.981 * [backup-simplify]: Simplify y.im into y.im 1.981 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.981 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.981 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.981 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.981 * [taylor]: Taking taylor expansion of y.re in y.re 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (* 1 1) into 1 1.982 * [backup-simplify]: Simplify (/ 1 1) into 1 1.982 * [backup-simplify]: Simplify (+ 0 1) into 1 1.982 * [backup-simplify]: Simplify (sqrt 1) into 1 1.983 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.983 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.983 * [backup-simplify]: Simplify (+ 0 0) into 0 1.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.984 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 1.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 1.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 1.984 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.984 * [taylor]: Taking taylor expansion of y.im in y.re 1.984 * [backup-simplify]: Simplify y.im into y.im 1.984 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.984 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 1.984 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 1.984 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.984 * [taylor]: Taking taylor expansion of y.re in y.re 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 1 into 1 1.984 * [backup-simplify]: Simplify (* 1 1) into 1 1.985 * [backup-simplify]: Simplify (/ 1 1) into 1 1.985 * [backup-simplify]: Simplify (+ 0 1) into 1 1.985 * [backup-simplify]: Simplify (sqrt 1) into 1 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ 0 0) into 0 1.986 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.987 * [taylor]: Taking taylor expansion of 1 in y.im 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [taylor]: Taking taylor expansion of 0 in y.im 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 1 into 1 1.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.988 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 1.988 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 1.989 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 1.989 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.989 * [backup-simplify]: Simplify 1/2 into 1/2 1.989 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.989 * [taylor]: Taking taylor expansion of y.im in y.im 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 1 into 1 1.989 * [backup-simplify]: Simplify (* 1 1) into 1 1.989 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify 0 into 0 1.990 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.990 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify (+ 0 0) into 0 1.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 1.992 * [taylor]: Taking taylor expansion of 0 in y.im 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.993 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re) 1.993 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2 1) 1.993 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 1.993 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im) around 0 1.993 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 1.993 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 1.993 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 1.993 * [taylor]: Taking taylor expansion of y.im in y.im 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.993 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 1.993 * [taylor]: Taking taylor expansion of y.re in y.im 1.993 * [backup-simplify]: Simplify y.re into y.re 1.994 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 1.994 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 1.994 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 1.994 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 1.994 * [backup-simplify]: Simplify (+ 0 0) into 0 1.994 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 1.994 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 1.994 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.994 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.994 * [taylor]: Taking taylor expansion of y.im in y.re 1.994 * [backup-simplify]: Simplify y.im into y.im 1.994 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.994 * [taylor]: Taking taylor expansion of y.re in y.re 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.994 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.994 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 1.995 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.995 * [backup-simplify]: Simplify (+ 0 0) into 0 1.995 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 1.995 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 1.995 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 1.995 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 1.995 * [taylor]: Taking taylor expansion of y.im in y.re 1.995 * [backup-simplify]: Simplify y.im into y.im 1.995 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 1.995 * [taylor]: Taking taylor expansion of y.re in y.re 1.995 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify 1 into 1 1.995 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 1.995 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 1.995 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 1.995 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 1.996 * [taylor]: Taking taylor expansion of y.im in y.im 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [taylor]: Taking taylor expansion of 0 in y.im 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 1.996 * [backup-simplify]: Simplify (* 1 1) into 1 1.997 * [backup-simplify]: Simplify (+ 0 1) into 1 1.997 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 1.997 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im 1.997 * [taylor]: Taking taylor expansion of 1/2 in y.im 1.997 * [backup-simplify]: Simplify 1/2 into 1/2 1.997 * [taylor]: Taking taylor expansion of y.im in y.im 1.997 * [backup-simplify]: Simplify 0 into 0 1.997 * [backup-simplify]: Simplify 1 into 1 1.997 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.998 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 1.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.999 * [backup-simplify]: Simplify (+ 0 0) into 0 1.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0 1.999 * [taylor]: Taking taylor expansion of 0 in y.im 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im 2.000 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 2.000 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 2.000 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 2.000 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 2.000 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 2.000 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.000 * [taylor]: Taking taylor expansion of y.im in y.im 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (* 1 1) into 1 2.001 * [backup-simplify]: Simplify (/ 1 1) into 1 2.001 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 2.001 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 2.001 * [taylor]: Taking taylor expansion of y.re in y.im 2.001 * [backup-simplify]: Simplify y.re into y.re 2.001 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.001 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.001 * [backup-simplify]: Simplify (+ 1 0) into 1 2.001 * [backup-simplify]: Simplify (sqrt 1) into 1 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.002 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.002 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.003 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 2.003 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 2.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 2.003 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.003 * [taylor]: Taking taylor expansion of y.im in y.re 2.003 * [backup-simplify]: Simplify y.im into y.im 2.003 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.003 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.003 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 2.003 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.003 * [taylor]: Taking taylor expansion of y.re in y.re 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (* 1 1) into 1 2.003 * [backup-simplify]: Simplify (/ 1 1) into 1 2.004 * [backup-simplify]: Simplify (+ 0 1) into 1 2.004 * [backup-simplify]: Simplify (sqrt 1) into 1 2.004 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.005 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.005 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 2.005 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 2.005 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 2.006 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.006 * [taylor]: Taking taylor expansion of y.im in y.re 2.006 * [backup-simplify]: Simplify y.im into y.im 2.006 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.006 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.006 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 2.006 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.006 * [taylor]: Taking taylor expansion of y.re in y.re 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify (/ 1 1) into 1 2.006 * [backup-simplify]: Simplify (+ 0 1) into 1 2.007 * [backup-simplify]: Simplify (sqrt 1) into 1 2.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.007 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify (+ 0 0) into 0 2.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.008 * [taylor]: Taking taylor expansion of 1 in y.im 2.008 * [backup-simplify]: Simplify 1 into 1 2.008 * [taylor]: Taking taylor expansion of 0 in y.im 2.008 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify 1 into 1 2.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 2.010 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 2.010 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 2.010 * [taylor]: Taking taylor expansion of 1/2 in y.im 2.010 * [backup-simplify]: Simplify 1/2 into 1/2 2.010 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.010 * [taylor]: Taking taylor expansion of y.im in y.im 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.010 * [backup-simplify]: Simplify (* 1 1) into 1 2.011 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.011 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.011 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.012 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 2.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (+ 0 0) into 0 2.013 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 2.013 * [taylor]: Taking taylor expansion of 0 in y.im 2.013 * [backup-simplify]: Simplify 0 into 0 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.015 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re 2.015 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 2.015 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 2.015 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 2.015 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 2.015 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 2.015 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.015 * [taylor]: Taking taylor expansion of y.im in y.im 2.015 * [backup-simplify]: Simplify 0 into 0 2.015 * [backup-simplify]: Simplify 1 into 1 2.015 * [backup-simplify]: Simplify (* 1 1) into 1 2.015 * [backup-simplify]: Simplify (/ 1 1) into 1 2.016 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 2.016 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 2.016 * [taylor]: Taking taylor expansion of y.re in y.im 2.016 * [backup-simplify]: Simplify y.re into y.re 2.016 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.016 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.016 * [backup-simplify]: Simplify (+ 1 0) into 1 2.016 * [backup-simplify]: Simplify (sqrt 1) into 1 2.017 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ 0 0) into 0 2.018 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.018 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 2.018 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 2.018 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.018 * [taylor]: Taking taylor expansion of y.im in y.re 2.018 * [backup-simplify]: Simplify y.im into y.im 2.018 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.018 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 2.018 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.018 * [taylor]: Taking taylor expansion of y.re in y.re 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.018 * [backup-simplify]: Simplify (* 1 1) into 1 2.018 * [backup-simplify]: Simplify (/ 1 1) into 1 2.019 * [backup-simplify]: Simplify (+ 0 1) into 1 2.019 * [backup-simplify]: Simplify (sqrt 1) into 1 2.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.020 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 2.020 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 2.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 2.020 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.020 * [taylor]: Taking taylor expansion of y.im in y.re 2.020 * [backup-simplify]: Simplify y.im into y.im 2.020 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.020 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.020 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 2.020 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.021 * [taylor]: Taking taylor expansion of y.re in y.re 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (* 1 1) into 1 2.021 * [backup-simplify]: Simplify (/ 1 1) into 1 2.021 * [backup-simplify]: Simplify (+ 0 1) into 1 2.021 * [backup-simplify]: Simplify (sqrt 1) into 1 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.023 * [taylor]: Taking taylor expansion of 1 in y.im 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [taylor]: Taking taylor expansion of 0 in y.im 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.024 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.024 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.024 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 2.025 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 2.025 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 2.025 * [taylor]: Taking taylor expansion of 1/2 in y.im 2.025 * [backup-simplify]: Simplify 1/2 into 1/2 2.025 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.025 * [taylor]: Taking taylor expansion of y.im in y.im 2.025 * [backup-simplify]: Simplify 0 into 0 2.025 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify (* 1 1) into 1 2.028 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.030 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 2.030 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 2.031 * [taylor]: Taking taylor expansion of 0 in y.im 2.031 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.032 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re) 2.033 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2) 2.033 * [backup-simplify]: Simplify (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im))) into (* (sqrt (+ (pow y.im 2) (pow y.re 2))) (/ 1 (+ (* y.re x.re) (* y.im x.im)))) 2.033 * [approximate]: Taking taylor expansion of (* (sqrt (+ (pow y.im 2) (pow y.re 2))) (/ 1 (+ (* y.re x.re) (* y.im x.im)))) in (y.re y.im x.re x.im) around 0 2.033 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.im 2) (pow y.re 2))) (/ 1 (+ (* y.re x.re) (* y.im x.im)))) in x.im 2.033 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in x.im 2.033 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.im 2.033 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 2.033 * [taylor]: Taking taylor expansion of y.im in x.im 2.033 * [backup-simplify]: Simplify y.im into y.im 2.033 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 2.033 * [taylor]: Taking taylor expansion of y.re in x.im 2.033 * [backup-simplify]: Simplify y.re into y.re 2.033 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.033 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.033 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 2.033 * [backup-simplify]: Simplify (sqrt (+ (pow y.re 2) (pow y.im 2))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 2.033 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.034 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.034 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0 2.034 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.re x.re) (* y.im x.im))) in x.im 2.034 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 2.034 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 2.034 * [taylor]: Taking taylor expansion of y.re in x.im 2.034 * [backup-simplify]: Simplify y.re into y.re 2.034 * [taylor]: Taking taylor expansion of x.re in x.im 2.034 * [backup-simplify]: Simplify x.re into x.re 2.034 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.034 * [taylor]: Taking taylor expansion of y.im in x.im 2.034 * [backup-simplify]: Simplify y.im into y.im 2.034 * [taylor]: Taking taylor expansion of x.im in x.im 2.034 * [backup-simplify]: Simplify 0 into 0 2.034 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.034 * [backup-simplify]: Simplify (* y.im 0) into 0 2.034 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 2.034 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.034 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.im 2) (pow y.re 2))) (/ 1 (+ (* y.re x.re) (* y.im x.im)))) in x.re 2.034 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in x.re 2.034 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 2.034 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 2.034 * [taylor]: Taking taylor expansion of y.im in x.re 2.034 * [backup-simplify]: Simplify y.im into y.im 2.034 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 2.034 * [taylor]: Taking taylor expansion of y.re in x.re 2.035 * [backup-simplify]: Simplify y.re into y.re 2.035 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.035 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.035 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 2.035 * [backup-simplify]: Simplify (sqrt (+ (pow y.re 2) (pow y.im 2))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 2.035 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.035 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 2.035 * [backup-simplify]: Simplify (+ 0 0) into 0 2.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (pow y.re 2) (pow y.im 2))))) into 0 2.035 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.re x.re) (* y.im x.im))) in x.re 2.035 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 2.035 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.035 * [taylor]: Taking taylor expansion of y.re in x.re 2.036 * [backup-simplify]: Simplify y.re into y.re 2.036 * [taylor]: Taking taylor expansion of x.re in x.re 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.036 * [taylor]: Taking taylor expansion of y.im in x.re 2.036 * [backup-simplify]: Simplify y.im into y.im 2.036 * [taylor]: Taking taylor expansion of x.im in x.re 2.036 * [backup-simplify]: Simplify x.im into x.im 2.036 * [backup-simplify]: Simplify (* y.re 0) into 0 2.036 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.036 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 2.036 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.036 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.im 2) (pow y.re 2))) (/ 1 (+ (* y.re x.re) (* y.im x.im)))) in y.im 2.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 2.036 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 2.036 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.036 * [taylor]: Taking taylor expansion of y.im in y.im 2.036 * [backup-simplify]: Simplify 0 into 0 2.036 * [backup-simplify]: Simplify 1 into 1 2.036 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 2.036 * [taylor]: Taking taylor expansion of y.re in y.im 2.036 * [backup-simplify]: Simplify y.re into y.re 2.036 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.036 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 2.036 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 2.036 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 2.036 * [backup-simplify]: Simplify (+ 0 0) into 0 2.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 2.037 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.re x.re) (* y.im x.im))) in y.im 2.037 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 2.037 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 2.037 * [taylor]: Taking taylor expansion of y.re in y.im 2.037 * [backup-simplify]: Simplify y.re into y.re 2.037 * [taylor]: Taking taylor expansion of x.re in y.im 2.037 * [backup-simplify]: Simplify x.re into x.re 2.037 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.037 * [taylor]: Taking taylor expansion of y.im in y.im 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [taylor]: Taking taylor expansion of x.im in y.im 2.037 * [backup-simplify]: Simplify x.im into x.im 2.037 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.037 * [backup-simplify]: Simplify (* 0 x.im) into 0 2.037 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 2.037 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.037 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.im 2) (pow y.re 2))) (/ 1 (+ (* y.re x.re) (* y.im x.im)))) in y.re 2.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 2.037 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 2.037 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.037 * [taylor]: Taking taylor expansion of y.im in y.re 2.037 * [backup-simplify]: Simplify y.im into y.im 2.037 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.037 * [taylor]: Taking taylor expansion of y.re in y.re 2.037 * [backup-simplify]: Simplify 0 into 0 2.037 * [backup-simplify]: Simplify 1 into 1 2.037 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.037 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 2.037 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 2.037 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 2.038 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.re x.re) (* y.im x.im))) in y.re 2.038 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 2.038 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.038 * [taylor]: Taking taylor expansion of y.re in y.re 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [taylor]: Taking taylor expansion of x.re in y.re 2.038 * [backup-simplify]: Simplify x.re into x.re 2.038 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.038 * [taylor]: Taking taylor expansion of y.im in y.re 2.038 * [backup-simplify]: Simplify y.im into y.im 2.038 * [taylor]: Taking taylor expansion of x.im in y.re 2.038 * [backup-simplify]: Simplify x.im into x.im 2.038 * [backup-simplify]: Simplify (* 0 x.re) into 0 2.038 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.038 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 2.038 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.038 * [taylor]: Taking taylor expansion of (* (sqrt (+ (pow y.im 2) (pow y.re 2))) (/ 1 (+ (* y.re x.re) (* y.im x.im)))) in y.re 2.038 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 2.038 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 2.038 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.038 * [taylor]: Taking taylor expansion of y.im in y.re 2.038 * [backup-simplify]: Simplify y.im into y.im 2.038 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.038 * [taylor]: Taking taylor expansion of y.re in y.re 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.038 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.038 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 2.038 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 2.039 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.039 * [backup-simplify]: Simplify (+ 0 0) into 0 2.039 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 2.039 * [taylor]: Taking taylor expansion of (/ 1 (+ (* y.re x.re) (* y.im x.im))) in y.re 2.039 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 2.039 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.039 * [taylor]: Taking taylor expansion of y.re in y.re 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [taylor]: Taking taylor expansion of x.re in y.re 2.039 * [backup-simplify]: Simplify x.re into x.re 2.039 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.039 * [taylor]: Taking taylor expansion of y.im in y.re 2.039 * [backup-simplify]: Simplify y.im into y.im 2.039 * [taylor]: Taking taylor expansion of x.im in y.re 2.039 * [backup-simplify]: Simplify x.im into x.im 2.039 * [backup-simplify]: Simplify (* 0 x.re) into 0 2.039 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.039 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 2.039 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.039 * [backup-simplify]: Simplify (* y.im (/ 1 (* y.im x.im))) into (/ 1 x.im) 2.039 * [taylor]: Taking taylor expansion of (/ 1 x.im) in y.im 2.039 * [taylor]: Taking taylor expansion of x.im in y.im 2.039 * [backup-simplify]: Simplify x.im into x.im 2.039 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 2.039 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.re 2.039 * [taylor]: Taking taylor expansion of x.im in x.re 2.040 * [backup-simplify]: Simplify x.im into x.im 2.040 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 2.040 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 2.040 * [taylor]: Taking taylor expansion of x.im in x.im 2.040 * [backup-simplify]: Simplify 0 into 0 2.040 * [backup-simplify]: Simplify 1 into 1 2.040 * [backup-simplify]: Simplify (/ 1 1) into 1 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 2.041 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.041 * [backup-simplify]: Simplify (+ x.re 0) into x.re 2.041 * [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)))) 2.041 * [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)))) 2.041 * [taylor]: Taking taylor expansion of (- (/ x.re (* y.im (pow x.im 2)))) in y.im 2.041 * [taylor]: Taking taylor expansion of (/ x.re (* y.im (pow x.im 2))) in y.im 2.041 * [taylor]: Taking taylor expansion of x.re in y.im 2.041 * [backup-simplify]: Simplify x.re into x.re 2.041 * [taylor]: Taking taylor expansion of (* y.im (pow x.im 2)) in y.im 2.041 * [taylor]: Taking taylor expansion of y.im in y.im 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [taylor]: Taking taylor expansion of (pow x.im 2) in y.im 2.041 * [taylor]: Taking taylor expansion of x.im in y.im 2.041 * [backup-simplify]: Simplify x.im into x.im 2.041 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2) 2.041 * [backup-simplify]: Simplify (* 0 (pow x.im 2)) into 0 2.041 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0 2.042 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow x.im 2))) into (pow x.im 2) 2.042 * [backup-simplify]: Simplify (/ x.re (pow x.im 2)) into (/ x.re (pow x.im 2)) 2.042 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.043 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow x.im 2)))) into 0 2.043 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ x.re (pow x.im 2)) (/ 0 (pow x.im 2))))) into 0 2.043 * [backup-simplify]: Simplify (- 0) into 0 2.043 * [taylor]: Taking taylor expansion of 0 in x.re 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [taylor]: Taking taylor expansion of 0 in x.im 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 2.043 * [taylor]: Taking taylor expansion of 0 in x.re 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [taylor]: Taking taylor expansion of 0 in x.im 2.043 * [backup-simplify]: Simplify 0 into 0 2.043 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 2.044 * [taylor]: Taking taylor expansion of 0 in x.im 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.044 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 2.045 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.045 * [backup-simplify]: Simplify (+ 0 0) into 0 2.046 * [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))) 2.046 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 2.046 * [backup-simplify]: Simplify (* 1 1) into 1 2.046 * [backup-simplify]: Simplify (+ 0 1) into 1 2.047 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 2.047 * [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 (+ (* 1/2 (/ 1 (* (pow y.im 2) x.im))) (/ (pow x.re 2) (* (pow y.im 2) (pow x.im 3)))) 2.047 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ 1 (* (pow y.im 2) x.im))) (/ (pow x.re 2) (* (pow y.im 2) (pow x.im 3)))) in y.im 2.047 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (* (pow y.im 2) x.im))) in y.im 2.047 * [taylor]: Taking taylor expansion of 1/2 in y.im 2.047 * [backup-simplify]: Simplify 1/2 into 1/2 2.047 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.im)) in y.im 2.047 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.im) in y.im 2.047 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.047 * [taylor]: Taking taylor expansion of y.im in y.im 2.047 * [backup-simplify]: Simplify 0 into 0 2.047 * [backup-simplify]: Simplify 1 into 1 2.048 * [taylor]: Taking taylor expansion of x.im in y.im 2.048 * [backup-simplify]: Simplify x.im into x.im 2.048 * [backup-simplify]: Simplify (* 1 1) into 1 2.048 * [backup-simplify]: Simplify (* 1 x.im) into x.im 2.048 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 2.048 * [taylor]: Taking taylor expansion of (/ (pow x.re 2) (* (pow y.im 2) (pow x.im 3))) in y.im 2.048 * [taylor]: Taking taylor expansion of (pow x.re 2) in y.im 2.048 * [taylor]: Taking taylor expansion of x.re in y.im 2.048 * [backup-simplify]: Simplify x.re into x.re 2.048 * [taylor]: Taking taylor expansion of (* (pow y.im 2) (pow x.im 3)) in y.im 2.048 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.048 * [taylor]: Taking taylor expansion of y.im in y.im 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify 1 into 1 2.048 * [taylor]: Taking taylor expansion of (pow x.im 3) in y.im 2.048 * [taylor]: Taking taylor expansion of x.im in y.im 2.048 * [backup-simplify]: Simplify x.im into x.im 2.048 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 2.048 * [backup-simplify]: Simplify (* 1 1) into 1 2.048 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2) 2.048 * [backup-simplify]: Simplify (* x.im (pow x.im 2)) into (pow x.im 3) 2.049 * [backup-simplify]: Simplify (* 1 (pow x.im 3)) into (pow x.im 3) 2.049 * [backup-simplify]: Simplify (/ (pow x.re 2) (pow x.im 3)) into (/ (pow x.re 2) (pow x.im 3)) 2.049 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0 2.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0 2.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 2.050 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 2.051 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (/ 1 x.im)))) into 0 2.051 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 x.re))) into 0 2.052 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.052 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0 2.052 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 (pow x.im 2)))) into 0 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.052 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 (pow x.im 2))) into 0 2.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow x.im 3)))) into 0 2.053 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 2.054 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow x.im 3))) into 0 2.054 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 3)) (+ (* (/ (pow x.re 2) (pow x.im 3)) (/ 0 (pow x.im 3))))) into 0 2.055 * [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 2.055 * [backup-simplify]: Simplify (+ 0 0) into 0 2.055 * [taylor]: Taking taylor expansion of 0 in x.re 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [taylor]: Taking taylor expansion of 0 in x.im 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify 0 into 0 2.055 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im)))) (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im)))) into (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 2.055 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in (y.re y.im x.re x.im) around 0 2.055 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.im 2.055 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.im 2.055 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 2.055 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.056 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.056 * [taylor]: Taking taylor expansion of y.im in x.im 2.056 * [backup-simplify]: Simplify y.im into y.im 2.056 * [taylor]: Taking taylor expansion of x.im in x.im 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.056 * [backup-simplify]: Simplify (* y.im 0) into 0 2.056 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.056 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.056 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 2.056 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 2.056 * [taylor]: Taking taylor expansion of y.re in x.im 2.056 * [backup-simplify]: Simplify y.re into y.re 2.056 * [taylor]: Taking taylor expansion of x.re in x.im 2.056 * [backup-simplify]: Simplify x.re into x.re 2.056 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.056 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.056 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 2.056 * [backup-simplify]: Simplify (/ 1 (/ 1 y.im)) into y.im 2.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 2.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 2.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 2.056 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 2.056 * [taylor]: Taking taylor expansion of y.im in x.im 2.056 * [backup-simplify]: Simplify y.im into y.im 2.056 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.056 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.056 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 2.056 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 2.056 * [taylor]: Taking taylor expansion of y.re in x.im 2.057 * [backup-simplify]: Simplify y.re into y.re 2.057 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.057 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.057 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 2.057 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 2.057 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 2.057 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 2.057 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 2.058 * [backup-simplify]: Simplify (+ 0 0) into 0 2.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0 2.058 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 2.058 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.re 2.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.058 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.058 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.058 * [taylor]: Taking taylor expansion of y.im in x.re 2.058 * [backup-simplify]: Simplify y.im into y.im 2.058 * [taylor]: Taking taylor expansion of x.im in x.re 2.058 * [backup-simplify]: Simplify x.im into x.im 2.058 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.058 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.058 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.058 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.058 * [taylor]: Taking taylor expansion of y.re in x.re 2.058 * [backup-simplify]: Simplify y.re into y.re 2.058 * [taylor]: Taking taylor expansion of x.re in x.re 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify (* y.re 0) into 0 2.059 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.059 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.059 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 2.059 * [backup-simplify]: Simplify (/ 1 (/ 1 y.re)) into y.re 2.059 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 2.059 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 2.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 2.059 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 2.059 * [taylor]: Taking taylor expansion of y.im in x.re 2.059 * [backup-simplify]: Simplify y.im into y.im 2.059 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.059 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.059 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 2.059 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 2.059 * [taylor]: Taking taylor expansion of y.re in x.re 2.059 * [backup-simplify]: Simplify y.re into y.re 2.059 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.059 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.059 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 2.059 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 2.060 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 2.060 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 2.060 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 2.060 * [backup-simplify]: Simplify (+ 0 0) into 0 2.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0 2.060 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.im 2.060 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.im 2.060 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 2.061 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 2.061 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.061 * [taylor]: Taking taylor expansion of y.im in y.im 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.061 * [taylor]: Taking taylor expansion of x.im in y.im 2.061 * [backup-simplify]: Simplify x.im into x.im 2.061 * [backup-simplify]: Simplify (* 0 x.im) into 0 2.061 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 2.061 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 2.061 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 2.061 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 2.061 * [taylor]: Taking taylor expansion of y.re in y.im 2.061 * [backup-simplify]: Simplify y.re into y.re 2.061 * [taylor]: Taking taylor expansion of x.re in y.im 2.061 * [backup-simplify]: Simplify x.re into x.re 2.061 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.061 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.061 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 2.061 * [backup-simplify]: Simplify (/ 1 (/ 1 x.im)) into x.im 2.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 2.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 2.061 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 2.061 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.061 * [taylor]: Taking taylor expansion of y.im in y.im 2.061 * [backup-simplify]: Simplify 0 into 0 2.061 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (* 1 1) into 1 2.062 * [backup-simplify]: Simplify (/ 1 1) into 1 2.062 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 2.062 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 2.062 * [taylor]: Taking taylor expansion of y.re in y.im 2.062 * [backup-simplify]: Simplify y.re into y.re 2.062 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.062 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.062 * [backup-simplify]: Simplify (+ 1 0) into 1 2.062 * [backup-simplify]: Simplify (sqrt 1) into 1 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (+ 0 0) into 0 2.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.064 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 2.064 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re 2.064 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 2.064 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.064 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.064 * [taylor]: Taking taylor expansion of y.im in y.re 2.064 * [backup-simplify]: Simplify y.im into y.im 2.064 * [taylor]: Taking taylor expansion of x.im in y.re 2.064 * [backup-simplify]: Simplify x.im into x.im 2.064 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.064 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.064 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 2.064 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.064 * [taylor]: Taking taylor expansion of y.re in y.re 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 1 into 1 2.064 * [taylor]: Taking taylor expansion of x.re in y.re 2.064 * [backup-simplify]: Simplify x.re into x.re 2.064 * [backup-simplify]: Simplify (* 0 x.re) into 0 2.065 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 2.065 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 2.065 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 2.065 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re 2.065 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 2.065 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 2.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 2.065 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.065 * [taylor]: Taking taylor expansion of y.im in y.re 2.065 * [backup-simplify]: Simplify y.im into y.im 2.065 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.065 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.065 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 2.065 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.065 * [taylor]: Taking taylor expansion of y.re in y.re 2.065 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify 1 into 1 2.065 * [backup-simplify]: Simplify (* 1 1) into 1 2.065 * [backup-simplify]: Simplify (/ 1 1) into 1 2.066 * [backup-simplify]: Simplify (+ 0 1) into 1 2.066 * [backup-simplify]: Simplify (sqrt 1) into 1 2.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.067 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.067 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 2.067 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re 2.067 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 2.067 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.067 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.067 * [taylor]: Taking taylor expansion of y.im in y.re 2.067 * [backup-simplify]: Simplify y.im into y.im 2.067 * [taylor]: Taking taylor expansion of x.im in y.re 2.067 * [backup-simplify]: Simplify x.im into x.im 2.068 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.068 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.068 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 2.068 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.068 * [taylor]: Taking taylor expansion of y.re in y.re 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.068 * [taylor]: Taking taylor expansion of x.re in y.re 2.068 * [backup-simplify]: Simplify x.re into x.re 2.068 * [backup-simplify]: Simplify (* 0 x.re) into 0 2.068 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 2.068 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 2.068 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 2.068 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re 2.068 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 2.068 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 2.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 2.068 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.068 * [taylor]: Taking taylor expansion of y.im in y.re 2.068 * [backup-simplify]: Simplify y.im into y.im 2.068 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.068 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.068 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 2.068 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.068 * [taylor]: Taking taylor expansion of y.re in y.re 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 1 into 1 2.069 * [backup-simplify]: Simplify (* 1 1) into 1 2.069 * [backup-simplify]: Simplify (/ 1 1) into 1 2.069 * [backup-simplify]: Simplify (+ 0 1) into 1 2.069 * [backup-simplify]: Simplify (sqrt 1) into 1 2.070 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ 0 0) into 0 2.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.071 * [backup-simplify]: Simplify (* x.re 1) into x.re 2.071 * [taylor]: Taking taylor expansion of x.re in y.im 2.071 * [backup-simplify]: Simplify x.re into x.re 2.071 * [taylor]: Taking taylor expansion of x.re in x.re 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [taylor]: Taking taylor expansion of 1 in x.im 2.071 * [backup-simplify]: Simplify 1 into 1 2.071 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 2.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 2.072 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 2.072 * [backup-simplify]: Simplify (- (+ (* x.re (/ (/ 1 (* y.im x.im)) (/ 1 x.re))))) into (- (/ (pow x.re 2) (* y.im x.im))) 2.072 * [backup-simplify]: Simplify (+ (* x.re 0) (* (- (/ (pow x.re 2) (* y.im x.im))) 1)) into (- (/ (pow x.re 2) (* y.im x.im))) 2.072 * [taylor]: Taking taylor expansion of (- (/ (pow x.re 2) (* y.im x.im))) in y.im 2.072 * [taylor]: Taking taylor expansion of (/ (pow x.re 2) (* y.im x.im)) in y.im 2.072 * [taylor]: Taking taylor expansion of (pow x.re 2) in y.im 2.072 * [taylor]: Taking taylor expansion of x.re in y.im 2.072 * [backup-simplify]: Simplify x.re into x.re 2.072 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.072 * [taylor]: Taking taylor expansion of y.im in y.im 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [taylor]: Taking taylor expansion of x.im in y.im 2.072 * [backup-simplify]: Simplify x.im into x.im 2.072 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 2.072 * [backup-simplify]: Simplify (* 0 x.im) into 0 2.073 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 2.073 * [backup-simplify]: Simplify (/ (pow x.re 2) x.im) into (/ (pow x.re 2) x.im) 2.073 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 2.073 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0 2.073 * [backup-simplify]: Simplify (- (/ 0 x.im) (+ (* (/ (pow x.re 2) x.im) (/ 0 x.im)))) into 0 2.074 * [backup-simplify]: Simplify (- 0) into 0 2.074 * [taylor]: Taking taylor expansion of 0 in x.re 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [taylor]: Taking taylor expansion of 0 in x.im 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [taylor]: Taking taylor expansion of 0 in x.re 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [taylor]: Taking taylor expansion of 0 in x.im 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [taylor]: Taking taylor expansion of 0 in x.im 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.075 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.075 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 2.076 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 2.076 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.076 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.077 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0 2.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 2.077 * [backup-simplify]: Simplify (+ 0 0) into 0 2.077 * [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))) 2.078 * [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 (+ (* 1/2 (/ x.re (pow y.im 2))) (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2)))) 2.078 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x.re (pow y.im 2))) (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2)))) in y.im 2.078 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.re (pow y.im 2))) in y.im 2.078 * [taylor]: Taking taylor expansion of 1/2 in y.im 2.078 * [backup-simplify]: Simplify 1/2 into 1/2 2.078 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 2)) in y.im 2.078 * [taylor]: Taking taylor expansion of x.re in y.im 2.078 * [backup-simplify]: Simplify x.re into x.re 2.078 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.078 * [taylor]: Taking taylor expansion of y.im in y.im 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 1 into 1 2.078 * [backup-simplify]: Simplify (* 1 1) into 1 2.078 * [backup-simplify]: Simplify (/ x.re 1) into x.re 2.079 * [taylor]: Taking taylor expansion of (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) in y.im 2.079 * [taylor]: Taking taylor expansion of (pow x.re 3) in y.im 2.079 * [taylor]: Taking taylor expansion of x.re in y.im 2.079 * [backup-simplify]: Simplify x.re into x.re 2.079 * [taylor]: Taking taylor expansion of (* (pow y.im 2) (pow x.im 2)) in y.im 2.079 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.079 * [taylor]: Taking taylor expansion of y.im in y.im 2.079 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify 1 into 1 2.079 * [taylor]: Taking taylor expansion of (pow x.im 2) in y.im 2.079 * [taylor]: Taking taylor expansion of x.im in y.im 2.079 * [backup-simplify]: Simplify x.im into x.im 2.079 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 2.079 * [backup-simplify]: Simplify (* x.re (pow x.re 2)) into (pow x.re 3) 2.079 * [backup-simplify]: Simplify (* 1 1) into 1 2.079 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2) 2.079 * [backup-simplify]: Simplify (* 1 (pow x.im 2)) into (pow x.im 2) 2.079 * [backup-simplify]: Simplify (/ (pow x.re 3) (pow x.im 2)) into (/ (pow x.re 3) (pow x.im 2)) 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.080 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0 2.081 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.082 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x.re))) into 0 2.082 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 x.re))) into 0 2.082 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 2.083 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 (pow x.re 2)))) into 0 2.083 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.083 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.083 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0 2.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.084 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow x.im 2)))) into 0 2.084 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 (pow x.re 2))) into 0 2.085 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow x.im 2))) into 0 2.085 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ (pow x.re 3) (pow x.im 2)) (/ 0 (pow x.im 2))))) into 0 2.085 * [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 2.086 * [backup-simplify]: Simplify (+ 0 0) into 0 2.086 * [taylor]: Taking taylor expansion of 0 in x.re 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [taylor]: Taking taylor expansion of 0 in x.im 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify (/ (sqrt (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im))))) (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im))))) into (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 2.086 * [approximate]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in (y.re y.im x.re x.im) around 0 2.086 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.im 2.086 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.im 2.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 2.086 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.086 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.086 * [taylor]: Taking taylor expansion of y.im in x.im 2.086 * [backup-simplify]: Simplify y.im into y.im 2.086 * [taylor]: Taking taylor expansion of x.im in x.im 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.086 * [backup-simplify]: Simplify (* y.im 0) into 0 2.087 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.087 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.087 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 2.087 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 2.087 * [taylor]: Taking taylor expansion of y.re in x.im 2.087 * [backup-simplify]: Simplify y.re into y.re 2.087 * [taylor]: Taking taylor expansion of x.re in x.im 2.087 * [backup-simplify]: Simplify x.re into x.re 2.087 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.087 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.087 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 2.087 * [backup-simplify]: Simplify (/ 1 (/ 1 y.im)) into y.im 2.087 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 2.087 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 2.087 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 2.087 * [taylor]: Taking taylor expansion of y.im in x.im 2.087 * [backup-simplify]: Simplify y.im into y.im 2.087 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.087 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.087 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 2.087 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 2.087 * [taylor]: Taking taylor expansion of y.re in x.im 2.087 * [backup-simplify]: Simplify y.re into y.re 2.087 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.087 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.088 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 2.088 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 2.088 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 2.088 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 2.088 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 2.089 * [backup-simplify]: Simplify (+ 0 0) into 0 2.089 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0 2.089 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 2.089 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.re 2.089 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.089 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.089 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.089 * [taylor]: Taking taylor expansion of y.im in x.re 2.089 * [backup-simplify]: Simplify y.im into y.im 2.089 * [taylor]: Taking taylor expansion of x.im in x.re 2.089 * [backup-simplify]: Simplify x.im into x.im 2.089 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.089 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.089 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.089 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.089 * [taylor]: Taking taylor expansion of y.re in x.re 2.089 * [backup-simplify]: Simplify y.re into y.re 2.089 * [taylor]: Taking taylor expansion of x.re in x.re 2.089 * [backup-simplify]: Simplify 0 into 0 2.089 * [backup-simplify]: Simplify 1 into 1 2.089 * [backup-simplify]: Simplify (* y.re 0) into 0 2.089 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.089 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.090 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 2.090 * [backup-simplify]: Simplify (/ 1 (/ 1 y.re)) into y.re 2.090 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 2.090 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 2.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 2.090 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 2.090 * [taylor]: Taking taylor expansion of y.im in x.re 2.090 * [backup-simplify]: Simplify y.im into y.im 2.090 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.090 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.090 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 2.090 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 2.090 * [taylor]: Taking taylor expansion of y.re in x.re 2.090 * [backup-simplify]: Simplify y.re into y.re 2.090 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.090 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.090 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 2.090 * [backup-simplify]: Simplify (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 2.090 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 2.091 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 2.091 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 2.091 * [backup-simplify]: Simplify (+ 0 0) into 0 2.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) into 0 2.091 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.im 2.091 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.im 2.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 2.091 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 2.091 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.091 * [taylor]: Taking taylor expansion of y.im in y.im 2.091 * [backup-simplify]: Simplify 0 into 0 2.091 * [backup-simplify]: Simplify 1 into 1 2.091 * [taylor]: Taking taylor expansion of x.im in y.im 2.091 * [backup-simplify]: Simplify x.im into x.im 2.092 * [backup-simplify]: Simplify (* 0 x.im) into 0 2.092 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 2.092 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 2.092 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 2.092 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 2.092 * [taylor]: Taking taylor expansion of y.re in y.im 2.092 * [backup-simplify]: Simplify y.re into y.re 2.092 * [taylor]: Taking taylor expansion of x.re in y.im 2.092 * [backup-simplify]: Simplify x.re into x.re 2.092 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.092 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.092 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 2.092 * [backup-simplify]: Simplify (/ 1 (/ 1 x.im)) into x.im 2.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 2.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 2.092 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 2.092 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.092 * [taylor]: Taking taylor expansion of y.im in y.im 2.092 * [backup-simplify]: Simplify 0 into 0 2.092 * [backup-simplify]: Simplify 1 into 1 2.092 * [backup-simplify]: Simplify (* 1 1) into 1 2.093 * [backup-simplify]: Simplify (/ 1 1) into 1 2.093 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 2.093 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 2.093 * [taylor]: Taking taylor expansion of y.re in y.im 2.093 * [backup-simplify]: Simplify y.re into y.re 2.093 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.093 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.093 * [backup-simplify]: Simplify (+ 1 0) into 1 2.093 * [backup-simplify]: Simplify (sqrt 1) into 1 2.094 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.094 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.094 * [backup-simplify]: Simplify (+ 0 0) into 0 2.095 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.095 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 2.095 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re 2.095 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 2.095 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.095 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.095 * [taylor]: Taking taylor expansion of y.im in y.re 2.095 * [backup-simplify]: Simplify y.im into y.im 2.095 * [taylor]: Taking taylor expansion of x.im in y.re 2.095 * [backup-simplify]: Simplify x.im into x.im 2.095 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.095 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.095 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 2.095 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.095 * [taylor]: Taking taylor expansion of y.re in y.re 2.095 * [backup-simplify]: Simplify 0 into 0 2.095 * [backup-simplify]: Simplify 1 into 1 2.095 * [taylor]: Taking taylor expansion of x.re in y.re 2.095 * [backup-simplify]: Simplify x.re into x.re 2.095 * [backup-simplify]: Simplify (* 0 x.re) into 0 2.095 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 2.095 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 2.096 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 2.096 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re 2.096 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 2.096 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 2.096 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.096 * [taylor]: Taking taylor expansion of y.im in y.re 2.096 * [backup-simplify]: Simplify y.im into y.im 2.096 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.096 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.096 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 2.096 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.096 * [taylor]: Taking taylor expansion of y.re in y.re 2.096 * [backup-simplify]: Simplify 0 into 0 2.096 * [backup-simplify]: Simplify 1 into 1 2.096 * [backup-simplify]: Simplify (* 1 1) into 1 2.096 * [backup-simplify]: Simplify (/ 1 1) into 1 2.097 * [backup-simplify]: Simplify (+ 0 1) into 1 2.097 * [backup-simplify]: Simplify (sqrt 1) into 1 2.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.098 * [backup-simplify]: Simplify (+ 0 0) into 0 2.098 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.098 * [taylor]: Taking taylor expansion of (* (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 2.098 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re 2.098 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 2.098 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.098 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.098 * [taylor]: Taking taylor expansion of y.im in y.re 2.098 * [backup-simplify]: Simplify y.im into y.im 2.098 * [taylor]: Taking taylor expansion of x.im in y.re 2.098 * [backup-simplify]: Simplify x.im into x.im 2.098 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.098 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.099 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 2.099 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.099 * [taylor]: Taking taylor expansion of y.re in y.re 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 1 into 1 2.099 * [taylor]: Taking taylor expansion of x.re in y.re 2.099 * [backup-simplify]: Simplify x.re into x.re 2.099 * [backup-simplify]: Simplify (* 0 x.re) into 0 2.099 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 2.099 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 2.099 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 2.099 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re 2.099 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 2.099 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 2.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 2.099 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.099 * [taylor]: Taking taylor expansion of y.im in y.re 2.099 * [backup-simplify]: Simplify y.im into y.im 2.099 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.099 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.099 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 2.099 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.099 * [taylor]: Taking taylor expansion of y.re in y.re 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 1 into 1 2.100 * [backup-simplify]: Simplify (* 1 1) into 1 2.100 * [backup-simplify]: Simplify (/ 1 1) into 1 2.100 * [backup-simplify]: Simplify (+ 0 1) into 1 2.100 * [backup-simplify]: Simplify (sqrt 1) into 1 2.101 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.101 * [backup-simplify]: Simplify (+ 0 0) into 0 2.102 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.102 * [backup-simplify]: Simplify (* x.re 1) into x.re 2.102 * [taylor]: Taking taylor expansion of x.re in y.im 2.102 * [backup-simplify]: Simplify x.re into x.re 2.102 * [taylor]: Taking taylor expansion of x.re in x.re 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [taylor]: Taking taylor expansion of 1 in x.im 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 2.103 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 2.103 * [backup-simplify]: Simplify (- (+ (* x.re (/ (/ 1 (* y.im x.im)) (/ 1 x.re))))) into (- (/ (pow x.re 2) (* y.im x.im))) 2.103 * [backup-simplify]: Simplify (+ (* x.re 0) (* (- (/ (pow x.re 2) (* y.im x.im))) 1)) into (- (/ (pow x.re 2) (* y.im x.im))) 2.103 * [taylor]: Taking taylor expansion of (- (/ (pow x.re 2) (* y.im x.im))) in y.im 2.103 * [taylor]: Taking taylor expansion of (/ (pow x.re 2) (* y.im x.im)) in y.im 2.103 * [taylor]: Taking taylor expansion of (pow x.re 2) in y.im 2.103 * [taylor]: Taking taylor expansion of x.re in y.im 2.103 * [backup-simplify]: Simplify x.re into x.re 2.103 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.103 * [taylor]: Taking taylor expansion of y.im in y.im 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [taylor]: Taking taylor expansion of x.im in y.im 2.103 * [backup-simplify]: Simplify x.im into x.im 2.103 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 2.103 * [backup-simplify]: Simplify (* 0 x.im) into 0 2.103 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 2.104 * [backup-simplify]: Simplify (/ (pow x.re 2) x.im) into (/ (pow x.re 2) x.im) 2.104 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 2.104 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0 2.104 * [backup-simplify]: Simplify (- (/ 0 x.im) (+ (* (/ (pow x.re 2) x.im) (/ 0 x.im)))) into 0 2.105 * [backup-simplify]: Simplify (- 0) into 0 2.105 * [taylor]: Taking taylor expansion of 0 in x.re 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [taylor]: Taking taylor expansion of 0 in x.im 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [taylor]: Taking taylor expansion of 0 in x.re 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [taylor]: Taking taylor expansion of 0 in x.im 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [taylor]: Taking taylor expansion of 0 in x.im 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify 0 into 0 2.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.106 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.106 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 2.107 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 2.107 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.107 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.108 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0 2.108 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.108 * [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))) 2.109 * [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 (+ (* 1/2 (/ x.re (pow y.im 2))) (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2)))) 2.109 * [taylor]: Taking taylor expansion of (+ (* 1/2 (/ x.re (pow y.im 2))) (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2)))) in y.im 2.109 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.re (pow y.im 2))) in y.im 2.109 * [taylor]: Taking taylor expansion of 1/2 in y.im 2.109 * [backup-simplify]: Simplify 1/2 into 1/2 2.109 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 2)) in y.im 2.109 * [taylor]: Taking taylor expansion of x.re in y.im 2.109 * [backup-simplify]: Simplify x.re into x.re 2.109 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.109 * [taylor]: Taking taylor expansion of y.im in y.im 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.110 * [backup-simplify]: Simplify (/ x.re 1) into x.re 2.110 * [taylor]: Taking taylor expansion of (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) in y.im 2.110 * [taylor]: Taking taylor expansion of (pow x.re 3) in y.im 2.110 * [taylor]: Taking taylor expansion of x.re in y.im 2.110 * [backup-simplify]: Simplify x.re into x.re 2.110 * [taylor]: Taking taylor expansion of (* (pow y.im 2) (pow x.im 2)) in y.im 2.110 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.110 * [taylor]: Taking taylor expansion of y.im in y.im 2.110 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [taylor]: Taking taylor expansion of (pow x.im 2) in y.im 2.110 * [taylor]: Taking taylor expansion of x.im in y.im 2.110 * [backup-simplify]: Simplify x.im into x.im 2.110 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 2.110 * [backup-simplify]: Simplify (* x.re (pow x.re 2)) into (pow x.re 3) 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.110 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2) 2.110 * [backup-simplify]: Simplify (* 1 (pow x.im 2)) into (pow x.im 2) 2.110 * [backup-simplify]: Simplify (/ (pow x.re 3) (pow x.im 2)) into (/ (pow x.re 3) (pow x.im 2)) 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.113 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 x.re))) into 0 2.113 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 x.re))) into 0 2.113 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 2.114 * [backup-simplify]: Simplify (+ (* x.re 0) (+ (* 0 0) (* 0 (pow x.re 2)))) into 0 2.114 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.114 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.115 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 (pow x.im 2)))) into 0 2.116 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 (pow x.re 2))) into 0 2.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow x.im 2))) into 0 2.116 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ (pow x.re 3) (pow x.im 2)) (/ 0 (pow x.im 2))))) into 0 2.117 * [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 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [taylor]: Taking taylor expansion of 0 in x.re 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [taylor]: Taking taylor expansion of 0 in x.im 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * * * * [progress]: [ 4 / 4 ] generating series at (2 1 2 2) 2.117 * [backup-simplify]: Simplify (+ (* x.re y.re) (* x.im y.im)) into (+ (* y.re x.re) (* y.im x.im)) 2.117 * [approximate]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in (x.re y.re x.im y.im) around 0 2.117 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 2.117 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 2.117 * [taylor]: Taking taylor expansion of y.re in y.im 2.117 * [backup-simplify]: Simplify y.re into y.re 2.117 * [taylor]: Taking taylor expansion of x.re in y.im 2.117 * [backup-simplify]: Simplify x.re into x.re 2.117 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.117 * [taylor]: Taking taylor expansion of y.im in y.im 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify 1 into 1 2.117 * [taylor]: Taking taylor expansion of x.im in y.im 2.117 * [backup-simplify]: Simplify x.im into x.im 2.117 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 2.117 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 2.117 * [taylor]: Taking taylor expansion of y.re in x.im 2.117 * [backup-simplify]: Simplify y.re into y.re 2.117 * [taylor]: Taking taylor expansion of x.re in x.im 2.117 * [backup-simplify]: Simplify x.re into x.re 2.117 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.117 * [taylor]: Taking taylor expansion of y.im in x.im 2.117 * [backup-simplify]: Simplify y.im into y.im 2.117 * [taylor]: Taking taylor expansion of x.im in x.im 2.117 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 2.118 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.118 * [taylor]: Taking taylor expansion of y.re in y.re 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [taylor]: Taking taylor expansion of x.re in y.re 2.118 * [backup-simplify]: Simplify x.re into x.re 2.118 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.118 * [taylor]: Taking taylor expansion of y.im in y.re 2.118 * [backup-simplify]: Simplify y.im into y.im 2.118 * [taylor]: Taking taylor expansion of x.im in y.re 2.118 * [backup-simplify]: Simplify x.im into x.im 2.118 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 2.118 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.118 * [taylor]: Taking taylor expansion of y.re in x.re 2.118 * [backup-simplify]: Simplify y.re into y.re 2.118 * [taylor]: Taking taylor expansion of x.re in x.re 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.118 * [taylor]: Taking taylor expansion of y.im in x.re 2.118 * [backup-simplify]: Simplify y.im into y.im 2.118 * [taylor]: Taking taylor expansion of x.im in x.re 2.118 * [backup-simplify]: Simplify x.im into x.im 2.118 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 2.118 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.118 * [taylor]: Taking taylor expansion of y.re in x.re 2.118 * [backup-simplify]: Simplify y.re into y.re 2.118 * [taylor]: Taking taylor expansion of x.re in x.re 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.118 * [taylor]: Taking taylor expansion of y.im in x.re 2.118 * [backup-simplify]: Simplify y.im into y.im 2.118 * [taylor]: Taking taylor expansion of x.im in x.re 2.118 * [backup-simplify]: Simplify x.im into x.im 2.118 * [backup-simplify]: Simplify (* y.re 0) into 0 2.118 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.118 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 2.118 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.118 * [taylor]: Taking taylor expansion of y.im in y.re 2.118 * [backup-simplify]: Simplify y.im into y.im 2.118 * [taylor]: Taking taylor expansion of x.im in y.re 2.118 * [backup-simplify]: Simplify x.im into x.im 2.118 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.118 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.118 * [taylor]: Taking taylor expansion of y.im in x.im 2.118 * [backup-simplify]: Simplify y.im into y.im 2.118 * [taylor]: Taking taylor expansion of x.im in x.im 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 1 into 1 2.118 * [backup-simplify]: Simplify (* y.im 0) into 0 2.118 * [taylor]: Taking taylor expansion of 0 in y.im 2.118 * [backup-simplify]: Simplify 0 into 0 2.118 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.119 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.119 * [backup-simplify]: Simplify (+ y.re 0) into y.re 2.119 * [taylor]: Taking taylor expansion of y.re in y.re 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [taylor]: Taking taylor expansion of 0 in x.im 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [taylor]: Taking taylor expansion of 0 in y.im 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.119 * [taylor]: Taking taylor expansion of 0 in x.im 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [taylor]: Taking taylor expansion of 0 in y.im 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.119 * [taylor]: Taking taylor expansion of y.im in y.im 2.119 * [backup-simplify]: Simplify 0 into 0 2.119 * [backup-simplify]: Simplify 1 into 1 2.119 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 2.120 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.120 * [backup-simplify]: Simplify (+ 0 0) into 0 2.120 * [taylor]: Taking taylor expansion of 0 in y.re 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [taylor]: Taking taylor expansion of 0 in x.im 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [taylor]: Taking taylor expansion of 0 in y.im 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 2.121 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.re y.re x.im y.im) around 0 2.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 2.121 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 2.121 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.121 * [taylor]: Taking taylor expansion of y.im in y.im 2.121 * [backup-simplify]: Simplify 0 into 0 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [taylor]: Taking taylor expansion of x.im in y.im 2.121 * [backup-simplify]: Simplify x.im into x.im 2.121 * [backup-simplify]: Simplify (* 0 x.im) into 0 2.121 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 2.121 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 2.121 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 2.121 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 2.121 * [taylor]: Taking taylor expansion of y.re in y.im 2.121 * [backup-simplify]: Simplify y.re into y.re 2.121 * [taylor]: Taking taylor expansion of x.re in y.im 2.121 * [backup-simplify]: Simplify x.re into x.re 2.121 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.121 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 2.121 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.121 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.121 * [taylor]: Taking taylor expansion of y.im in x.im 2.121 * [backup-simplify]: Simplify y.im into y.im 2.121 * [taylor]: Taking taylor expansion of x.im in x.im 2.121 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.122 * [backup-simplify]: Simplify (* y.im 0) into 0 2.122 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.122 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.122 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 2.122 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 2.122 * [taylor]: Taking taylor expansion of y.re in x.im 2.122 * [backup-simplify]: Simplify y.re into y.re 2.122 * [taylor]: Taking taylor expansion of x.re in x.im 2.122 * [backup-simplify]: Simplify x.re into x.re 2.122 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.122 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 2.122 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.122 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.122 * [taylor]: Taking taylor expansion of y.im in y.re 2.122 * [backup-simplify]: Simplify y.im into y.im 2.122 * [taylor]: Taking taylor expansion of x.im in y.re 2.122 * [backup-simplify]: Simplify x.im into x.im 2.122 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.122 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.122 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 2.122 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.122 * [taylor]: Taking taylor expansion of y.re in y.re 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify 1 into 1 2.122 * [taylor]: Taking taylor expansion of x.re in y.re 2.122 * [backup-simplify]: Simplify x.re into x.re 2.122 * [backup-simplify]: Simplify (* 0 x.re) into 0 2.123 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 2.123 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 2.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.123 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.123 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.123 * [taylor]: Taking taylor expansion of y.im in x.re 2.123 * [backup-simplify]: Simplify y.im into y.im 2.123 * [taylor]: Taking taylor expansion of x.im in x.re 2.123 * [backup-simplify]: Simplify x.im into x.im 2.123 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.123 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.123 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.123 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.123 * [taylor]: Taking taylor expansion of y.re in x.re 2.123 * [backup-simplify]: Simplify y.re into y.re 2.123 * [taylor]: Taking taylor expansion of x.re in x.re 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [backup-simplify]: Simplify (* y.re 0) into 0 2.123 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.123 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.123 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.123 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.123 * [taylor]: Taking taylor expansion of y.im in x.re 2.123 * [backup-simplify]: Simplify y.im into y.im 2.123 * [taylor]: Taking taylor expansion of x.im in x.re 2.123 * [backup-simplify]: Simplify x.im into x.im 2.123 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.124 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.124 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.124 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.124 * [taylor]: Taking taylor expansion of y.re in x.re 2.124 * [backup-simplify]: Simplify y.re into y.re 2.124 * [taylor]: Taking taylor expansion of x.re in x.re 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (* y.re 0) into 0 2.124 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.124 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.124 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 2.124 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 2.124 * [taylor]: Taking taylor expansion of y.re in y.re 2.124 * [backup-simplify]: Simplify 0 into 0 2.124 * [backup-simplify]: Simplify 1 into 1 2.124 * [backup-simplify]: Simplify (/ 1 1) into 1 2.124 * [taylor]: Taking taylor expansion of 1 in x.im 2.124 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 2.125 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 2.125 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 2.125 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.125 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.125 * [taylor]: Taking taylor expansion of y.im in y.re 2.125 * [backup-simplify]: Simplify y.im into y.im 2.125 * [taylor]: Taking taylor expansion of x.im in y.re 2.125 * [backup-simplify]: Simplify x.im into x.im 2.125 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.125 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.126 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.126 * [taylor]: Taking taylor expansion of 0 in x.im 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [taylor]: Taking taylor expansion of 1 in y.im 2.126 * [backup-simplify]: Simplify 1 into 1 2.126 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.126 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.127 * [backup-simplify]: Simplify (+ 0 0) into 0 2.127 * [taylor]: Taking taylor expansion of 0 in y.re 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.127 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.127 * [taylor]: Taking taylor expansion of y.im in x.im 2.127 * [backup-simplify]: Simplify y.im into y.im 2.127 * [taylor]: Taking taylor expansion of x.im in x.im 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (* y.im 0) into 0 2.127 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.127 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.127 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 2.127 * [taylor]: Taking taylor expansion of y.im in y.im 2.127 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.128 * [backup-simplify]: Simplify (/ 1 1) into 1 2.128 * [backup-simplify]: Simplify 1 into 1 2.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.128 * [taylor]: Taking taylor expansion of 0 in x.im 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [taylor]: Taking taylor expansion of 0 in y.im 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [taylor]: Taking taylor expansion of 0 in y.im 2.128 * [backup-simplify]: Simplify 0 into 0 2.128 * [backup-simplify]: Simplify 1 into 1 2.129 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.129 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.129 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.130 * [backup-simplify]: Simplify (+ 0 0) into 0 2.130 * [taylor]: Taking taylor expansion of 0 in y.re 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [taylor]: Taking taylor expansion of 0 in x.im 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.130 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.130 * [taylor]: Taking taylor expansion of 0 in x.im 2.130 * [backup-simplify]: Simplify 0 into 0 2.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.130 * [taylor]: Taking taylor expansion of 0 in x.im 2.130 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 2.131 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 2.131 * [taylor]: Taking taylor expansion of 0 in y.im 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [taylor]: Taking taylor expansion of 0 in y.im 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [taylor]: Taking taylor expansion of 0 in y.im 2.131 * [backup-simplify]: Simplify 0 into 0 2.131 * [taylor]: Taking taylor expansion of 0 in y.im 2.131 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.132 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 0 into 0 2.134 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 2.135 * [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 2.136 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.136 * [backup-simplify]: Simplify (+ 0 0) into 0 2.136 * [taylor]: Taking taylor expansion of 0 in y.re 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [taylor]: Taking taylor expansion of 0 in x.im 2.136 * [backup-simplify]: Simplify 0 into 0 2.136 * [taylor]: Taking taylor expansion of 0 in x.im 2.136 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.137 * [taylor]: Taking taylor expansion of 0 in x.im 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.137 * [taylor]: Taking taylor expansion of 0 in x.im 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [taylor]: Taking taylor expansion of 0 in y.im 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [taylor]: Taking taylor expansion of 0 in y.im 2.137 * [backup-simplify]: Simplify 0 into 0 2.137 * [taylor]: Taking taylor expansion of 0 in y.im 2.137 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 2.138 * [taylor]: Taking taylor expansion of 0 in y.im 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [taylor]: Taking taylor expansion of 0 in y.im 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [taylor]: Taking taylor expansion of 0 in y.im 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [taylor]: Taking taylor expansion of 0 in y.im 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.138 * [backup-simplify]: Simplify 0 into 0 2.139 * [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.re x.re) (* y.im x.im)) 2.139 * [backup-simplify]: Simplify (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 2.139 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (x.re y.re x.im y.im) around 0 2.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 2.139 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 2.139 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.139 * [taylor]: Taking taylor expansion of y.im in y.im 2.139 * [backup-simplify]: Simplify 0 into 0 2.139 * [backup-simplify]: Simplify 1 into 1 2.139 * [taylor]: Taking taylor expansion of x.im in y.im 2.139 * [backup-simplify]: Simplify x.im into x.im 2.139 * [backup-simplify]: Simplify (* 0 x.im) into 0 2.139 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 2.139 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 2.139 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 2.139 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 2.139 * [taylor]: Taking taylor expansion of y.re in y.im 2.140 * [backup-simplify]: Simplify y.re into y.re 2.140 * [taylor]: Taking taylor expansion of x.re in y.im 2.140 * [backup-simplify]: Simplify x.re into x.re 2.140 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.140 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 2.140 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.140 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.140 * [taylor]: Taking taylor expansion of y.im in x.im 2.140 * [backup-simplify]: Simplify y.im into y.im 2.140 * [taylor]: Taking taylor expansion of x.im in x.im 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 1 into 1 2.140 * [backup-simplify]: Simplify (* y.im 0) into 0 2.140 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.140 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.140 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 2.140 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 2.140 * [taylor]: Taking taylor expansion of y.re in x.im 2.140 * [backup-simplify]: Simplify y.re into y.re 2.140 * [taylor]: Taking taylor expansion of x.re in x.im 2.140 * [backup-simplify]: Simplify x.re into x.re 2.140 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.140 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 2.140 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.140 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.140 * [taylor]: Taking taylor expansion of y.im in y.re 2.140 * [backup-simplify]: Simplify y.im into y.im 2.140 * [taylor]: Taking taylor expansion of x.im in y.re 2.140 * [backup-simplify]: Simplify x.im into x.im 2.140 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.140 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.140 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 2.140 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.141 * [taylor]: Taking taylor expansion of y.re in y.re 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [taylor]: Taking taylor expansion of x.re in y.re 2.141 * [backup-simplify]: Simplify x.re into x.re 2.141 * [backup-simplify]: Simplify (* 0 x.re) into 0 2.141 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 2.141 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 2.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.141 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.141 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.141 * [taylor]: Taking taylor expansion of y.im in x.re 2.141 * [backup-simplify]: Simplify y.im into y.im 2.141 * [taylor]: Taking taylor expansion of x.im in x.re 2.141 * [backup-simplify]: Simplify x.im into x.im 2.141 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.141 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.141 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.141 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.141 * [taylor]: Taking taylor expansion of y.re in x.re 2.141 * [backup-simplify]: Simplify y.re into y.re 2.141 * [taylor]: Taking taylor expansion of x.re in x.re 2.141 * [backup-simplify]: Simplify 0 into 0 2.141 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (* y.re 0) into 0 2.141 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.142 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.142 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.142 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.142 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.142 * [taylor]: Taking taylor expansion of y.im in x.re 2.142 * [backup-simplify]: Simplify y.im into y.im 2.142 * [taylor]: Taking taylor expansion of x.im in x.re 2.142 * [backup-simplify]: Simplify x.im into x.im 2.142 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.142 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.142 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.142 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.142 * [taylor]: Taking taylor expansion of y.re in x.re 2.142 * [backup-simplify]: Simplify y.re into y.re 2.142 * [taylor]: Taking taylor expansion of x.re in x.re 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.142 * [backup-simplify]: Simplify (* y.re 0) into 0 2.142 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.142 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.142 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 2.142 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 2.142 * [taylor]: Taking taylor expansion of y.re in y.re 2.142 * [backup-simplify]: Simplify 0 into 0 2.142 * [backup-simplify]: Simplify 1 into 1 2.143 * [backup-simplify]: Simplify (/ 1 1) into 1 2.143 * [taylor]: Taking taylor expansion of 1 in x.im 2.143 * [backup-simplify]: Simplify 1 into 1 2.143 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 2.143 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 2.143 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 2.143 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.143 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.143 * [taylor]: Taking taylor expansion of y.im in y.re 2.143 * [backup-simplify]: Simplify y.im into y.im 2.143 * [taylor]: Taking taylor expansion of x.im in y.re 2.143 * [backup-simplify]: Simplify x.im into x.im 2.143 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.143 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.144 * [taylor]: Taking taylor expansion of 0 in x.im 2.144 * [backup-simplify]: Simplify 0 into 0 2.144 * [taylor]: Taking taylor expansion of 1 in y.im 2.144 * [backup-simplify]: Simplify 1 into 1 2.144 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.145 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.145 * [backup-simplify]: Simplify (+ 0 0) into 0 2.145 * [taylor]: Taking taylor expansion of 0 in y.re 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.145 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.145 * [taylor]: Taking taylor expansion of y.im in x.im 2.145 * [backup-simplify]: Simplify y.im into y.im 2.145 * [taylor]: Taking taylor expansion of x.im in x.im 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.145 * [backup-simplify]: Simplify (* y.im 0) into 0 2.145 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.145 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.145 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 2.145 * [taylor]: Taking taylor expansion of y.im in y.im 2.145 * [backup-simplify]: Simplify 0 into 0 2.145 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (/ 1 1) into 1 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.146 * [taylor]: Taking taylor expansion of 0 in x.im 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [taylor]: Taking taylor expansion of 0 in y.im 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [taylor]: Taking taylor expansion of 0 in y.im 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.147 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.147 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.147 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.148 * [backup-simplify]: Simplify (+ 0 0) into 0 2.148 * [taylor]: Taking taylor expansion of 0 in y.re 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [taylor]: Taking taylor expansion of 0 in x.im 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.148 * [taylor]: Taking taylor expansion of 0 in x.im 2.148 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.149 * [taylor]: Taking taylor expansion of 0 in x.im 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 2.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 2.149 * [taylor]: Taking taylor expansion of 0 in y.im 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [taylor]: Taking taylor expansion of 0 in y.im 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [taylor]: Taking taylor expansion of 0 in y.im 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [taylor]: Taking taylor expansion of 0 in y.im 2.149 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 2.151 * [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 2.151 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.152 * [backup-simplify]: Simplify (+ 0 0) into 0 2.152 * [taylor]: Taking taylor expansion of 0 in y.re 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [taylor]: Taking taylor expansion of 0 in x.im 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [taylor]: Taking taylor expansion of 0 in x.im 2.152 * [backup-simplify]: Simplify 0 into 0 2.152 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.152 * [taylor]: Taking taylor expansion of 0 in x.im 2.152 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.153 * [taylor]: Taking taylor expansion of 0 in x.im 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [taylor]: Taking taylor expansion of 0 in y.im 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [taylor]: Taking taylor expansion of 0 in y.im 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [taylor]: Taking taylor expansion of 0 in y.im 2.153 * [backup-simplify]: Simplify 0 into 0 2.153 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 2.153 * [taylor]: Taking taylor expansion of 0 in y.im 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [taylor]: Taking taylor expansion of 0 in y.im 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [taylor]: Taking taylor expansion of 0 in y.im 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [taylor]: Taking taylor expansion of 0 in y.im 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [backup-simplify]: Simplify 0 into 0 2.154 * [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.re x.re) (* y.im x.im)) 2.154 * * * [progress]: simplifying candidates 2.156 * [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 (+ (* x.re y.re) (* x.im y.im)))) (log (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im)))) (exp (/ (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))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* 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)))) (* (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im)))) (cbrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im))))) (cbrt (/ (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))) (+ (* 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)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im)))) (sqrt (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im)))) (sqrt (/ (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)))) (- (+ (* x.re y.re) (* x.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.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im))))) (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* x.re y.re) (* x.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.re y.re) (* x.im y.im)))) (/ (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (/ (* (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)))) (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt (* (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 (+ (* x.re y.re) (* x.im y.im))))) (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (sqrt (* (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)))) (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (/ (sqrt (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) 1) (/ (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt (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 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt 1) (* (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 1) (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 1) 1) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt (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 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1) (/ (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* x.re y.re) (* x.im y.im))) (/ 1 (* (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)))) (/ 1 (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 1) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (/ 1 (+ (* x.re y.re) (* x.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.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))) (sqrt (+ (* 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)) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (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)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (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)))) (/ (sqrt (+ (* y.re y.re) (* y.im y.im))) (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3))) (/ (sqrt (+ (* 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)) (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)))))) (* (+ (* x.re y.re) (* x.im y.im)) (sqrt (- (* y.re y.re) (* y.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)) y.im y.re (* -1 y.re) y.im y.re (* -1 y.re) 0 0 0 0 (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re x.re) (* y.im x.im)) 2.156 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (- (log (sqrt (+ (* h0 h0) (* h1 h1)))) (log (+ (* h2 h0) (* h3 h1)))) (log (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1)))) (exp (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1)))) (/ (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (+ (* h2 h0) (* h3 h1)) (+ (* h2 h0) (* h3 h1))) (+ (* h2 h0) (* h3 h1)))) (* (cbrt (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1)))) (cbrt (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1))))) (cbrt (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1)))) (* (* (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1)))) (sqrt (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1)))) (sqrt (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1)))) (- (sqrt (+ (* h0 h0) (* h1 h1)))) (- (+ (* h2 h0) (* h3 h1))) (/ (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1))))) (/ (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h2 h0) (* h3 h1)))) (/ (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (sqrt (+ (* h2 h0) (* h3 h1)))) (/ (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h2 h0) (* h3 h1)))) (/ (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) 1) (/ (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (+ (* h2 h0) (* h3 h1))) (/ (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1))))) (/ (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) 1) (/ (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (+ (* h2 h0) (* h3 h1))) (/ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1))))) (/ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) 1) (/ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (+ (* h2 h0) (* h3 h1))) (/ (sqrt 1) (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1))))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt 1) (sqrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt 1) 1) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1))) (/ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1))))) (/ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) 1) (/ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (+ (* h2 h0) (* h3 h1))) (/ 1 (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1))))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (/ 1 (sqrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h2 h0) (* h3 h1)))) (/ 1 1) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (* h2 h0) (* h3 h1))) (/ 1 (+ (* h2 h0) (* h3 h1))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1))))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h2 h0) (* h3 h1)))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) 1) (/ (+ (* h2 h0) (* h3 h1)) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (cbrt (+ (* h0 h0) (* h1 h1))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (sqrt (+ (* h0 h0) (* h1 h1))))) (/ (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h2 h0) 3) (pow (* h3 h1) 3))) (/ (sqrt (+ (* h0 h0) (* h1 h1))) (- (* (* h2 h0) (* h2 h0)) (* (* h3 h1) (* h3 h1)))) (* (+ (* h2 h0) (* h3 h1)) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))))) (* (+ (* h2 h0) (* h3 h1)) (sqrt (- (* h0 h0) (* h1 h1)))) (* (exp (* h2 h0)) (exp (* h3 h1))) (log (+ (* h2 h0) (* h3 h1))) (exp (+ (* h2 h0) (* h3 h1))) (* (cbrt (+ (* h2 h0) (* h3 h1))) (cbrt (+ (* h2 h0) (* h3 h1)))) (cbrt (+ (* h2 h0) (* h3 h1))) (* (* (+ (* h2 h0) (* h3 h1)) (+ (* h2 h0) (* h3 h1))) (+ (* h2 h0) (* h3 h1))) (sqrt (+ (* h2 h0) (* h3 h1))) (sqrt (+ (* h2 h0) (* h3 h1))) (+ (pow (* h2 h0) 3) (pow (* h3 h1) 3)) (+ (* (* h2 h0) (* h2 h0)) (- (* (* h3 h1) (* h3 h1)) (* (* h2 h0) (* h3 h1)))) (- (* (* h2 h0) (* h2 h0)) (* (* h3 h1) (* h3 h1))) (- (* h2 h0) (* h3 h1)) h1 h0 (* -1 h0) h1 h0 (* -1 h0) 0 0 0 0 (+ (* h0 h2) (* h1 h3)) (+ (* h0 h2) (* h1 h3)) 2.162 * * [simplify]: iteration 0 : 263 enodes (cost 883 ) 2.167 * * [simplify]: iteration 1 : 831 enodes (cost 838 ) 2.183 * * [simplify]: iteration 2 : 2301 enodes (cost 833 ) 2.223 * * [simplify]: iteration 3 : 5001 enodes (cost 833 ) 2.227 * * * [progress]: adding candidates to table 2.495 * [progress]: [Phase 3 of 3] Extracting. 2.495 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.499 * * * [regime-changes]: Trying 4 branch expressions: (y.im y.re x.im x.re) 2.499 * * * * [regimes]: Trying to branch on y.im from (# # # # # # # # # # #) 2.537 * * * * [regimes]: Trying to branch on y.re from (# # # # # # # # # # #) 2.576 * * * * [regimes]: Trying to branch on x.im from (# # # # # # # # # # #) 2.615 * * * * [regimes]: Trying to branch on x.re from (# # # # # # # # # # #) 2.654 * * * [regime]: Found split indices: #