38.982 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.026 * * * [progress]: [2/2] Setting up program. 0.028 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.029 * * [simplify]: Extracting # 3 : cost 0 0.029 * * [simplify]: Extracting # 4 : cost 0 0.029 * * [simplify]: Extracting # 5 : cost 0 0.029 * * [simplify]: iteration 0 : 11 enodes (cost 15 ) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: iteration 1 : 15 enodes (cost 15 ) 0.033 * * [simplify]: Extracting # 0 : cost 0 0.033 * * [simplify]: iteration done: 15 enodes (cost 15 ) 0.033 * [simplify]: Simplified to: (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) 0.034 * * [progress]: iteration 1 / 4 0.034 * * * [progress]: picking best candidate 0.036 * * * * [pick]: Picked # 0.036 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.048 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 0.090 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1) 0.099 * * * [progress]: generating series expansions 0.099 * * * * [progress]: [ 1 / 2 ] generating series at (2) 0.099 * [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))) 0.099 * [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 0.099 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in y.im 0.099 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 0.099 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.099 * [taylor]: Taking taylor expansion of y.re in y.im 0.099 * [backup-simplify]: Simplify y.re into y.re 0.099 * [taylor]: Taking taylor expansion of x.re in y.im 0.099 * [backup-simplify]: Simplify x.re into x.re 0.099 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.099 * [taylor]: Taking taylor expansion of y.im in y.im 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of x.im in y.im 0.099 * [backup-simplify]: Simplify x.im into x.im 0.099 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 0.099 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.099 * [taylor]: Taking taylor expansion of y.im in y.im 0.099 * [backup-simplify]: Simplify 0 into 0 0.099 * [backup-simplify]: Simplify 1 into 1 0.099 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.099 * [taylor]: Taking taylor expansion of y.re in y.im 0.099 * [backup-simplify]: Simplify y.re into y.re 0.099 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.100 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.100 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 0.100 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.100 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 0.100 * [backup-simplify]: Simplify (/ (* y.re x.re) (pow y.re 2)) into (/ x.re y.re) 0.100 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in x.im 0.100 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 0.100 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.100 * [taylor]: Taking taylor expansion of y.re in x.im 0.100 * [backup-simplify]: Simplify y.re into y.re 0.100 * [taylor]: Taking taylor expansion of x.re in x.im 0.100 * [backup-simplify]: Simplify x.re into x.re 0.100 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.100 * [taylor]: Taking taylor expansion of y.im in x.im 0.100 * [backup-simplify]: Simplify y.im into y.im 0.100 * [taylor]: Taking taylor expansion of x.im in x.im 0.100 * [backup-simplify]: Simplify 0 into 0 0.100 * [backup-simplify]: Simplify 1 into 1 0.100 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.im 0.100 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.100 * [taylor]: Taking taylor expansion of y.im in x.im 0.100 * [backup-simplify]: Simplify y.im into y.im 0.100 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 0.100 * [taylor]: Taking taylor expansion of y.re in x.im 0.100 * [backup-simplify]: Simplify y.re into y.re 0.100 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.100 * [backup-simplify]: Simplify (* y.im 0) into 0 0.100 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 0.100 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.100 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.101 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 0.101 * [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))) 0.101 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in y.re 0.101 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 0.101 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.101 * [taylor]: Taking taylor expansion of y.re in y.re 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [taylor]: Taking taylor expansion of x.re in y.re 0.101 * [backup-simplify]: Simplify x.re into x.re 0.101 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.101 * [taylor]: Taking taylor expansion of y.im in y.re 0.101 * [backup-simplify]: Simplify y.im into y.im 0.101 * [taylor]: Taking taylor expansion of x.im in y.re 0.101 * [backup-simplify]: Simplify x.im into x.im 0.101 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.101 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.101 * [taylor]: Taking taylor expansion of y.im in y.re 0.101 * [backup-simplify]: Simplify y.im into y.im 0.101 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.101 * [taylor]: Taking taylor expansion of y.re in y.re 0.101 * [backup-simplify]: Simplify 0 into 0 0.101 * [backup-simplify]: Simplify 1 into 1 0.101 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.101 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.101 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 0.101 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.101 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.101 * [backup-simplify]: Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im) 0.101 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in x.re 0.101 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 0.101 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.101 * [taylor]: Taking taylor expansion of y.re in x.re 0.101 * [backup-simplify]: Simplify y.re into y.re 0.101 * [taylor]: Taking taylor expansion of x.re in x.re 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.102 * [taylor]: Taking taylor expansion of y.im in x.re 0.102 * [backup-simplify]: Simplify y.im into y.im 0.102 * [taylor]: Taking taylor expansion of x.im in x.re 0.102 * [backup-simplify]: Simplify x.im into x.im 0.102 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 0.102 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.102 * [taylor]: Taking taylor expansion of y.im in x.re 0.102 * [backup-simplify]: Simplify y.im into y.im 0.102 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.102 * [taylor]: Taking taylor expansion of y.re in x.re 0.102 * [backup-simplify]: Simplify y.re into y.re 0.102 * [backup-simplify]: Simplify (* y.re 0) into 0 0.102 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.102 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 0.102 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.102 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.102 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 0.102 * [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))) 0.102 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in x.re 0.102 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 0.102 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.102 * [taylor]: Taking taylor expansion of y.re in x.re 0.102 * [backup-simplify]: Simplify y.re into y.re 0.102 * [taylor]: Taking taylor expansion of x.re in x.re 0.102 * [backup-simplify]: Simplify 0 into 0 0.102 * [backup-simplify]: Simplify 1 into 1 0.102 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.102 * [taylor]: Taking taylor expansion of y.im in x.re 0.102 * [backup-simplify]: Simplify y.im into y.im 0.102 * [taylor]: Taking taylor expansion of x.im in x.re 0.102 * [backup-simplify]: Simplify x.im into x.im 0.102 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 0.102 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.102 * [taylor]: Taking taylor expansion of y.im in x.re 0.102 * [backup-simplify]: Simplify y.im into y.im 0.103 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.103 * [taylor]: Taking taylor expansion of y.re in x.re 0.103 * [backup-simplify]: Simplify y.re into y.re 0.103 * [backup-simplify]: Simplify (* y.re 0) into 0 0.103 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.103 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 0.103 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.103 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.103 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 0.103 * [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))) 0.103 * [taylor]: Taking taylor expansion of (/ (* y.im x.im) (+ (pow y.im 2) (pow y.re 2))) in y.re 0.103 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.103 * [taylor]: Taking taylor expansion of y.im in y.re 0.103 * [backup-simplify]: Simplify y.im into y.im 0.103 * [taylor]: Taking taylor expansion of x.im in y.re 0.103 * [backup-simplify]: Simplify x.im into x.im 0.103 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.103 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.103 * [taylor]: Taking taylor expansion of y.im in y.re 0.103 * [backup-simplify]: Simplify y.im into y.im 0.103 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.103 * [taylor]: Taking taylor expansion of y.re in y.re 0.103 * [backup-simplify]: Simplify 0 into 0 0.103 * [backup-simplify]: Simplify 1 into 1 0.103 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.103 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.103 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.104 * [backup-simplify]: Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im) 0.104 * [taylor]: Taking taylor expansion of (/ x.im y.im) in x.im 0.104 * [taylor]: Taking taylor expansion of x.im in x.im 0.104 * [backup-simplify]: Simplify 0 into 0 0.104 * [backup-simplify]: Simplify 1 into 1 0.104 * [taylor]: Taking taylor expansion of y.im in x.im 0.104 * [backup-simplify]: Simplify y.im into y.im 0.104 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.104 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.104 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.104 * [backup-simplify]: Simplify (+ y.re 0) into y.re 0.104 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.104 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.105 * [backup-simplify]: Simplify (+ 0 0) into 0 0.105 * [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))) 0.105 * [taylor]: Taking taylor expansion of (/ y.re (+ (pow y.im 2) (pow y.re 2))) in y.re 0.105 * [taylor]: Taking taylor expansion of y.re in y.re 0.105 * [backup-simplify]: Simplify 0 into 0 0.105 * [backup-simplify]: Simplify 1 into 1 0.105 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 0.105 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.105 * [taylor]: Taking taylor expansion of y.im in y.re 0.105 * [backup-simplify]: Simplify y.im into y.im 0.105 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.105 * [taylor]: Taking taylor expansion of y.re in y.re 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.106 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 0.106 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.106 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.106 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.106 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.im y.im) (/ 0 (pow y.im 2))))) into 0 0.107 * [taylor]: Taking taylor expansion of 0 in x.im 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [taylor]: Taking taylor expansion of 0 in y.im 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.107 * [taylor]: Taking taylor expansion of y.im in y.im 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [backup-simplify]: Simplify (/ 1 1) into 1 0.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.108 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.109 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.110 * [backup-simplify]: Simplify (+ 0 0) into 0 0.110 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.110 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 0.111 * [backup-simplify]: Simplify (+ 0 0) into 0 0.112 * [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 0.112 * [taylor]: Taking taylor expansion of 0 in y.re 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [taylor]: Taking taylor expansion of 0 in x.im 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [taylor]: Taking taylor expansion of 0 in y.im 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.112 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.112 * [taylor]: Taking taylor expansion of y.im in x.im 0.113 * [backup-simplify]: Simplify y.im into y.im 0.113 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.113 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.113 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.113 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.113 * [taylor]: Taking taylor expansion of y.im in y.im 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.115 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.117 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.118 * [backup-simplify]: Simplify (* 1 1) into 1 0.118 * [backup-simplify]: Simplify (+ 0 1) into 1 0.119 * [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))) 0.119 * [taylor]: Taking taylor expansion of (- (/ x.im (pow y.im 3))) in x.im 0.119 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 3)) in x.im 0.119 * [taylor]: Taking taylor expansion of x.im in x.im 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 1 into 1 0.119 * [taylor]: Taking taylor expansion of (pow y.im 3) in x.im 0.119 * [taylor]: Taking taylor expansion of y.im in x.im 0.119 * [backup-simplify]: Simplify y.im into y.im 0.119 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.119 * [backup-simplify]: Simplify (* y.im (pow y.im 2)) into (pow y.im 3) 0.119 * [backup-simplify]: Simplify (/ 1 (pow y.im 3)) into (/ 1 (pow y.im 3)) 0.120 * [taylor]: Taking taylor expansion of 0 in y.im 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- (/ 0 y.im) (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 0.120 * [taylor]: Taking taylor expansion of 0 in y.im 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [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)))) 0.120 * [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 0.120 * [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 0.121 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.121 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.121 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.121 * [taylor]: Taking taylor expansion of y.im in y.im 0.121 * [backup-simplify]: Simplify 0 into 0 0.121 * [backup-simplify]: Simplify 1 into 1 0.121 * [taylor]: Taking taylor expansion of x.im in y.im 0.121 * [backup-simplify]: Simplify x.im into x.im 0.121 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.121 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.121 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.121 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.121 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.121 * [taylor]: Taking taylor expansion of y.re in y.im 0.121 * [backup-simplify]: Simplify y.re into y.re 0.121 * [taylor]: Taking taylor expansion of x.re in y.im 0.121 * [backup-simplify]: Simplify x.re into x.re 0.121 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.121 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.122 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.122 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.122 * [taylor]: Taking taylor expansion of y.im in y.im 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [backup-simplify]: Simplify (* 1 1) into 1 0.122 * [backup-simplify]: Simplify (/ 1 1) into 1 0.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 0.122 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.122 * [taylor]: Taking taylor expansion of y.re in y.im 0.122 * [backup-simplify]: Simplify y.re into y.re 0.123 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.123 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.123 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 0.123 * [backup-simplify]: Simplify (+ 1 0) into 1 0.123 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im) 0.123 * [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 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.123 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.123 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.123 * [taylor]: Taking taylor expansion of y.im in x.im 0.123 * [backup-simplify]: Simplify y.im into y.im 0.123 * [taylor]: Taking taylor expansion of x.im in x.im 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* y.im 0) into 0 0.124 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.124 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.124 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.124 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.124 * [taylor]: Taking taylor expansion of y.re in x.im 0.124 * [backup-simplify]: Simplify y.re into y.re 0.124 * [taylor]: Taking taylor expansion of x.re in x.im 0.124 * [backup-simplify]: Simplify x.re into x.re 0.124 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.124 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.124 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 0.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.124 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.124 * [taylor]: Taking taylor expansion of y.im in x.im 0.124 * [backup-simplify]: Simplify y.im into y.im 0.124 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.125 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 0.125 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 0.125 * [taylor]: Taking taylor expansion of y.re in x.im 0.125 * [backup-simplify]: Simplify y.re into y.re 0.125 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.125 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.125 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 0.125 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.126 * [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))))) 0.126 * [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 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.126 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.126 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.126 * [taylor]: Taking taylor expansion of y.im in y.re 0.126 * [backup-simplify]: Simplify y.im into y.im 0.126 * [taylor]: Taking taylor expansion of x.im in y.re 0.126 * [backup-simplify]: Simplify x.im into x.im 0.126 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.126 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.126 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.126 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.126 * [taylor]: Taking taylor expansion of y.re in y.re 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [taylor]: Taking taylor expansion of x.re in y.re 0.126 * [backup-simplify]: Simplify x.re into x.re 0.126 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.127 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.127 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 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 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.127 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 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 0.128 * [backup-simplify]: Simplify (* 1 1) into 1 0.128 * [backup-simplify]: Simplify (/ 1 1) into 1 0.128 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 0.128 * [backup-simplify]: Simplify (+ 0 1) into 1 0.128 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re) 0.128 * [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 0.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.129 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 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 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.129 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.129 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) 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 * [backup-simplify]: Simplify (* y.re 0) into 0 0.130 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.130 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.130 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.130 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.130 * [taylor]: Taking taylor expansion of y.im in x.re 0.130 * [backup-simplify]: Simplify y.im into y.im 0.130 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.130 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.130 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.130 * [taylor]: Taking taylor expansion of y.re in x.re 0.130 * [backup-simplify]: Simplify y.re into y.re 0.130 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.130 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.130 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.131 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.131 * [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)) 0.131 * [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 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.131 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.131 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.131 * [taylor]: Taking taylor expansion of y.im in x.re 0.131 * [backup-simplify]: Simplify y.im into y.im 0.131 * [taylor]: Taking taylor expansion of x.im in x.re 0.131 * [backup-simplify]: Simplify x.im into x.im 0.131 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.131 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.131 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.131 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.131 * [taylor]: Taking taylor expansion of y.re in x.re 0.132 * [backup-simplify]: Simplify y.re into y.re 0.132 * [taylor]: Taking taylor expansion of x.re in x.re 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* y.re 0) into 0 0.132 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.132 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.132 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.132 * [taylor]: Taking taylor expansion of y.im in x.re 0.132 * [backup-simplify]: Simplify y.im into y.im 0.132 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.133 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.133 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.133 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.133 * [taylor]: Taking taylor expansion of y.re in x.re 0.133 * [backup-simplify]: Simplify y.re into y.re 0.133 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.133 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.133 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.133 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.134 * [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)) 0.134 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) in y.re 0.134 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re) in y.re 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.134 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.134 * [taylor]: Taking taylor expansion of y.im in y.re 0.134 * [backup-simplify]: Simplify y.im into y.im 0.134 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.134 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.134 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.134 * [taylor]: Taking taylor expansion of y.re in y.re 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of y.re in y.re 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (+ 0 1) into 1 0.136 * [backup-simplify]: Simplify (* 1 0) into 0 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [taylor]: Taking taylor expansion of 1 in x.im 0.138 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.139 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.139 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.139 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [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)))))) 0.140 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 0.140 * [taylor]: Taking taylor expansion of (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 0.140 * [taylor]: Taking taylor expansion of y.im in y.re 0.140 * [backup-simplify]: Simplify y.im into y.im 0.140 * [taylor]: Taking taylor expansion of (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.140 * [taylor]: Taking taylor expansion of x.im in y.re 0.140 * [backup-simplify]: Simplify x.im into x.im 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.140 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.140 * [taylor]: Taking taylor expansion of y.im in y.re 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 (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.140 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.140 * [taylor]: Taking taylor expansion of y.re in y.re 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (+ 0 1) into 1 0.141 * [backup-simplify]: Simplify (* x.im 1) into x.im 0.141 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.141 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow y.im 2)) 0))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.144 * [taylor]: Taking taylor expansion of 0 in x.im 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [taylor]: Taking taylor expansion of 1 in y.im 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.144 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.145 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [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 0.147 * [taylor]: Taking taylor expansion of 0 in y.re 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [taylor]: Taking taylor expansion of 0 in x.im 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.147 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.147 * [taylor]: Taking taylor expansion of y.im in x.im 0.147 * [backup-simplify]: Simplify y.im into y.im 0.147 * [taylor]: Taking taylor expansion of x.im in x.im 0.147 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* y.im 0) into 0 0.147 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.147 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.147 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.147 * [taylor]: Taking taylor expansion of y.im in y.im 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (/ 1 1) into 1 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 1) (* 0 0)))) into (/ 1 (pow y.im 2)) 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 0.152 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.im 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.152 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.152 * [taylor]: Taking taylor expansion of y.im in x.im 0.152 * [backup-simplify]: Simplify y.im into y.im 0.152 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.152 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.152 * [taylor]: Taking taylor expansion of 0 in y.im 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [taylor]: Taking taylor expansion of 0 in y.im 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.153 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 0.154 * [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 0.155 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 0.155 * [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 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [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 0.156 * [taylor]: Taking taylor expansion of 0 in y.re 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [taylor]: Taking taylor expansion of 0 in x.im 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [taylor]: Taking taylor expansion of 0 in x.im 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.158 * [taylor]: Taking taylor expansion of 0 in x.im 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 0.162 * [taylor]: Taking taylor expansion of 0 in x.im 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [taylor]: Taking taylor expansion of 0 in y.im 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [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)))) 0.162 * [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 0.162 * [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 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.162 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.162 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.162 * [taylor]: Taking taylor expansion of y.im in y.im 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [taylor]: Taking taylor expansion of x.im in y.im 0.162 * [backup-simplify]: Simplify x.im into x.im 0.162 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.163 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.163 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.163 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.163 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.163 * [taylor]: Taking taylor expansion of y.re in y.im 0.163 * [backup-simplify]: Simplify y.re into y.re 0.163 * [taylor]: Taking taylor expansion of x.re in y.im 0.163 * [backup-simplify]: Simplify x.re into x.re 0.163 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.163 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 0.163 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 0.163 * [taylor]: Taking taylor expansion of y.im in y.im 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (* 1 1) into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 0.164 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 0.164 * [taylor]: Taking taylor expansion of y.re in y.im 0.164 * [backup-simplify]: Simplify y.re into y.re 0.164 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.164 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.164 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 0.164 * [backup-simplify]: Simplify (+ 1 0) into 1 0.164 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im) 0.164 * [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 0.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.164 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.164 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.164 * [taylor]: Taking taylor expansion of y.im in x.im 0.164 * [backup-simplify]: Simplify y.im into y.im 0.164 * [taylor]: Taking taylor expansion of x.im in x.im 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* y.im 0) into 0 0.165 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.165 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.165 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.165 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.165 * [taylor]: Taking taylor expansion of y.re in x.im 0.165 * [backup-simplify]: Simplify y.re into y.re 0.165 * [taylor]: Taking taylor expansion of x.re in x.im 0.165 * [backup-simplify]: Simplify x.re into x.re 0.165 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.165 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.165 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 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 (/ 1 (pow y.re 2)) in x.im 0.165 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 0.165 * [taylor]: Taking taylor expansion of y.re in x.im 0.165 * [backup-simplify]: Simplify y.re into y.re 0.165 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.165 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.165 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 0.165 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.166 * [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))))) 0.166 * [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 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.166 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.166 * [taylor]: Taking taylor expansion of y.im in y.re 0.166 * [backup-simplify]: Simplify y.im into y.im 0.166 * [taylor]: Taking taylor expansion of x.im in y.re 0.166 * [backup-simplify]: Simplify x.im into x.im 0.166 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.166 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.166 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.166 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.166 * [taylor]: Taking taylor expansion of y.re in y.re 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [taylor]: Taking taylor expansion of x.re in y.re 0.166 * [backup-simplify]: Simplify x.re into x.re 0.166 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.166 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.166 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.166 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.166 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.166 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.166 * [taylor]: Taking taylor expansion of y.im in y.re 0.166 * [backup-simplify]: Simplify y.im into y.im 0.166 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.167 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.167 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.167 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.167 * [taylor]: Taking taylor expansion of y.re in y.re 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1 1) into 1 0.167 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 0.167 * [backup-simplify]: Simplify (+ 0 1) into 1 0.168 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re) 0.168 * [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 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.168 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.168 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.168 * [taylor]: Taking taylor expansion of y.im in x.re 0.168 * [backup-simplify]: Simplify y.im into y.im 0.168 * [taylor]: Taking taylor expansion of x.im in x.re 0.168 * [backup-simplify]: Simplify x.im into x.im 0.168 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.168 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.168 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.168 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.168 * [taylor]: Taking taylor expansion of y.re in x.re 0.168 * [backup-simplify]: Simplify y.re into y.re 0.168 * [taylor]: Taking taylor expansion of x.re in x.re 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* y.re 0) into 0 0.168 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.168 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.168 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.168 * [taylor]: Taking taylor expansion of y.im in x.re 0.168 * [backup-simplify]: Simplify y.im into y.im 0.168 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.168 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.169 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.169 * [taylor]: Taking taylor expansion of y.re in x.re 0.169 * [backup-simplify]: Simplify y.re into y.re 0.169 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.169 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.169 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.169 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.169 * [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)) 0.169 * [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 0.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.169 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.169 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.169 * [taylor]: Taking taylor expansion of y.im in x.re 0.169 * [backup-simplify]: Simplify y.im into y.im 0.169 * [taylor]: Taking taylor expansion of x.im in x.re 0.169 * [backup-simplify]: Simplify x.im into x.im 0.169 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.169 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.169 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.169 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.169 * [taylor]: Taking taylor expansion of y.re in x.re 0.169 * [backup-simplify]: Simplify y.re into y.re 0.169 * [taylor]: Taking taylor expansion of x.re in x.re 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.170 * [backup-simplify]: Simplify (* y.re 0) into 0 0.170 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.170 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 0.170 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 0.170 * [taylor]: Taking taylor expansion of y.im in x.re 0.170 * [backup-simplify]: Simplify y.im into y.im 0.170 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.170 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 0.170 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 0.170 * [taylor]: Taking taylor expansion of y.re in x.re 0.170 * [backup-simplify]: Simplify y.re into y.re 0.170 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 0.170 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 0.170 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.171 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 0.171 * [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)) 0.171 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) in y.re 0.171 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re) in y.re 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.171 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 0.171 * [taylor]: Taking taylor expansion of y.im in y.re 0.171 * [backup-simplify]: Simplify y.im into y.im 0.171 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.171 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 0.171 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 0.171 * [taylor]: Taking taylor expansion of y.re in y.re 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (* 1 1) into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of y.re in y.re 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (+ 0 1) into 1 0.172 * [backup-simplify]: Simplify (* 1 0) into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [taylor]: Taking taylor expansion of 1 in x.im 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.178 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.178 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.178 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [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)))))) 0.179 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 0.179 * [taylor]: Taking taylor expansion of (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 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 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 0.179 * [taylor]: Taking taylor expansion of x.im in y.re 0.179 * [backup-simplify]: Simplify x.im into x.im 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 0.179 * [taylor]: Taking taylor expansion of (pow y.im 2) 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 0.180 * [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) into 1 0.181 * [backup-simplify]: Simplify (* x.im 1) 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)) 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow y.im 2)) 0))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.185 * [taylor]: Taking taylor expansion of 0 in x.im 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [taylor]: Taking taylor expansion of 1 in y.im 0.185 * [backup-simplify]: Simplify 1 into 1 0.185 * [backup-simplify]: Simplify 0 into 0 0.185 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.186 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.187 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [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 0.190 * [taylor]: Taking taylor expansion of 0 in y.re 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [taylor]: Taking taylor expansion of 0 in x.im 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.190 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.190 * [taylor]: Taking taylor expansion of y.im in x.im 0.190 * [backup-simplify]: Simplify y.im into y.im 0.190 * [taylor]: Taking taylor expansion of x.im in x.im 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (* y.im 0) into 0 0.191 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.191 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.191 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.191 * [taylor]: Taking taylor expansion of y.im in y.im 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 1) (* 0 0)))) into (/ 1 (pow y.im 2)) 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 0.197 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.im 0.197 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 0.197 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 0.197 * [taylor]: Taking taylor expansion of y.im in x.im 0.197 * [backup-simplify]: Simplify y.im into y.im 0.197 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 0.197 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 0.198 * [taylor]: Taking taylor expansion of 0 in y.im 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [taylor]: Taking taylor expansion of 0 in y.im 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.199 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.200 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 0.201 * [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 0.202 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 0.202 * [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 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [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 0.204 * [taylor]: Taking taylor expansion of 0 in y.re 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [taylor]: Taking taylor expansion of 0 in x.im 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [taylor]: Taking taylor expansion of 0 in x.im 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0 0.207 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) 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 (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 0.211 * [taylor]: Taking taylor expansion of 0 in x.im 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [taylor]: Taking taylor expansion of 0 in y.im 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * * * * [progress]: [ 2 / 2 ] 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 0.212 * [taylor]: Taking taylor expansion of y.im in y.im 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of x.im in y.im 0.212 * [backup-simplify]: Simplify x.im into x.im 0.212 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 0.212 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.212 * [taylor]: Taking taylor expansion of y.re in x.im 0.212 * [backup-simplify]: Simplify y.re into y.re 0.212 * [taylor]: Taking taylor expansion of x.re in x.im 0.212 * [backup-simplify]: Simplify x.re into x.re 0.212 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.212 * [taylor]: Taking taylor expansion of y.im in x.im 0.212 * [backup-simplify]: Simplify y.im into y.im 0.212 * [taylor]: Taking taylor expansion of x.im in x.im 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 0.212 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.212 * [taylor]: Taking taylor expansion of y.re in y.re 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [taylor]: Taking taylor expansion of x.re in y.re 0.212 * [backup-simplify]: Simplify x.re into x.re 0.212 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.212 * [taylor]: Taking taylor expansion of y.im in y.re 0.212 * [backup-simplify]: Simplify y.im into y.im 0.212 * [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 0.215 * [backup-simplify]: Simplify (+ y.re 0) into y.re 0.215 * [taylor]: Taking taylor expansion of y.re in y.re 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [taylor]: Taking taylor expansion of 0 in x.im 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [taylor]: Taking taylor expansion of 0 in y.im 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.215 * [taylor]: Taking taylor expansion of 0 in x.im 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [taylor]: Taking taylor expansion of 0 in y.im 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [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 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify 0 into 0 0.216 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.217 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.217 * [backup-simplify]: Simplify (+ 0 0) into 0 0.217 * [taylor]: Taking taylor expansion of 0 in y.re 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [taylor]: Taking taylor expansion of 0 in x.im 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [taylor]: Taking taylor expansion of 0 in y.im 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [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))) 0.217 * [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 0.218 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.218 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.218 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.218 * [taylor]: Taking taylor expansion of y.im in y.im 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 1 into 1 0.218 * [taylor]: Taking taylor expansion of x.im in y.im 0.218 * [backup-simplify]: Simplify x.im into x.im 0.218 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.218 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.218 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.218 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.218 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.218 * [taylor]: Taking taylor expansion of y.re in y.im 0.218 * [backup-simplify]: Simplify y.re into y.re 0.218 * [taylor]: Taking taylor expansion of x.re in y.im 0.218 * [backup-simplify]: Simplify x.re into x.re 0.218 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.218 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.219 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.219 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.219 * [taylor]: Taking taylor expansion of y.im in x.im 0.219 * [backup-simplify]: Simplify y.im into y.im 0.219 * [taylor]: Taking taylor expansion of x.im in x.im 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (* y.im 0) into 0 0.219 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.219 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.219 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.219 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.219 * [taylor]: Taking taylor expansion of y.re in x.im 0.219 * [backup-simplify]: Simplify y.re into y.re 0.219 * [taylor]: Taking taylor expansion of x.re in x.im 0.219 * [backup-simplify]: Simplify x.re into x.re 0.219 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.220 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.220 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 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)) 0.220 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.220 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.220 * [taylor]: Taking taylor expansion of y.re in y.re 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of x.re in y.re 0.220 * [backup-simplify]: Simplify x.re into x.re 0.220 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.220 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.221 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.221 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.221 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.221 * [taylor]: Taking taylor expansion of y.im in x.re 0.221 * [backup-simplify]: Simplify y.im into y.im 0.221 * [taylor]: Taking taylor expansion of x.im in x.re 0.221 * [backup-simplify]: Simplify x.im into x.im 0.221 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.221 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.221 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.221 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.221 * [taylor]: Taking taylor expansion of y.re in x.re 0.221 * [backup-simplify]: Simplify y.re into y.re 0.221 * [taylor]: Taking taylor expansion of x.re in x.re 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* y.re 0) into 0 0.222 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.222 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.222 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.222 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.222 * [taylor]: Taking taylor expansion of y.im in x.re 0.222 * [backup-simplify]: Simplify y.im into y.im 0.222 * [taylor]: Taking taylor expansion of x.im in x.re 0.222 * [backup-simplify]: Simplify x.im into x.im 0.222 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.222 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.222 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.222 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.222 * [taylor]: Taking taylor expansion of y.re in x.re 0.222 * [backup-simplify]: Simplify y.re into y.re 0.222 * [taylor]: Taking taylor expansion of x.re in x.re 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [backup-simplify]: Simplify (* y.re 0) into 0 0.223 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.223 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.223 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.223 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.223 * [taylor]: Taking taylor expansion of y.re in y.re 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (/ 1 1) into 1 0.223 * [taylor]: Taking taylor expansion of 1 in x.im 0.223 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.224 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.224 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.224 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.224 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.224 * [taylor]: Taking taylor expansion of y.im in y.re 0.224 * [backup-simplify]: Simplify y.im into y.im 0.224 * [taylor]: Taking taylor expansion of x.im in y.re 0.224 * [backup-simplify]: Simplify x.im into x.im 0.224 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.225 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.225 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [taylor]: Taking taylor expansion of 0 in x.im 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [taylor]: Taking taylor expansion of 1 in y.im 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.226 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [taylor]: Taking taylor expansion of 0 in y.re 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.227 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.227 * [taylor]: Taking taylor expansion of y.im in x.im 0.227 * [backup-simplify]: Simplify y.im into y.im 0.227 * [taylor]: Taking taylor expansion of x.im in x.im 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [backup-simplify]: Simplify (* y.im 0) into 0 0.228 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.228 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.228 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 0.228 * [taylor]: Taking taylor expansion of y.im in y.im 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (/ 1 1) into 1 0.228 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) 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 y.im 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [taylor]: Taking taylor expansion of 0 in y.im 0.229 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.231 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.231 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.232 * [backup-simplify]: Simplify (+ 0 0) into 0 0.232 * [taylor]: Taking taylor expansion of 0 in y.re 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [taylor]: Taking taylor expansion of 0 in x.im 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.232 * [taylor]: Taking taylor expansion of 0 in x.im 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [taylor]: Taking taylor expansion of 0 in x.im 0.233 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 0.234 * [taylor]: Taking taylor expansion of 0 in y.im 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [taylor]: Taking taylor expansion of 0 in y.im 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [taylor]: Taking taylor expansion of 0 in y.im 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [taylor]: Taking taylor expansion of 0 in y.im 0.234 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 0.236 * [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 0.237 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.238 * [taylor]: Taking taylor expansion of 0 in y.re 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [taylor]: Taking taylor expansion of 0 in x.im 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [taylor]: Taking taylor expansion of 0 in x.im 0.238 * [backup-simplify]: Simplify 0 into 0 0.238 * [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 0.239 * [taylor]: Taking taylor expansion of 0 in x.im 0.239 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.240 * [taylor]: Taking taylor expansion of 0 in x.im 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [taylor]: Taking taylor expansion of 0 in y.im 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [taylor]: Taking taylor expansion of 0 in y.im 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [taylor]: Taking taylor expansion of 0 in y.im 0.240 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 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 0.241 * [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 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 0 into 0 0.242 * [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)) 0.242 * [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))) 0.242 * [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 0.242 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 0.242 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 0.242 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 0.242 * [taylor]: Taking taylor expansion of y.im in y.im 0.242 * [backup-simplify]: Simplify 0 into 0 0.242 * [backup-simplify]: Simplify 1 into 1 0.242 * [taylor]: Taking taylor expansion of x.im in y.im 0.242 * [backup-simplify]: Simplify x.im into x.im 0.243 * [backup-simplify]: Simplify (* 0 x.im) into 0 0.243 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 0.243 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 0.243 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 0.243 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 0.243 * [taylor]: Taking taylor expansion of y.re in y.im 0.243 * [backup-simplify]: Simplify y.re into y.re 0.243 * [taylor]: Taking taylor expansion of x.re in y.im 0.243 * [backup-simplify]: Simplify x.re into x.re 0.243 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.243 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 0.243 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.243 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.243 * [taylor]: Taking taylor expansion of y.im in x.im 0.243 * [backup-simplify]: Simplify y.im into y.im 0.243 * [taylor]: Taking taylor expansion of x.im in x.im 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (* y.im 0) into 0 0.244 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.244 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.244 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 0.244 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 0.244 * [taylor]: Taking taylor expansion of y.re in x.im 0.244 * [backup-simplify]: Simplify y.re into y.re 0.244 * [taylor]: Taking taylor expansion of x.re in x.im 0.244 * [backup-simplify]: Simplify x.re into x.re 0.244 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 0.244 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 0.244 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.244 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.244 * [taylor]: Taking taylor expansion of y.im in y.re 0.244 * [backup-simplify]: Simplify y.im into y.im 0.244 * [taylor]: Taking taylor expansion of x.im in y.re 0.244 * [backup-simplify]: Simplify x.im into x.im 0.245 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.245 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.245 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 0.245 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 0.245 * [taylor]: Taking taylor expansion of y.re in y.re 0.245 * [backup-simplify]: Simplify 0 into 0 0.245 * [backup-simplify]: Simplify 1 into 1 0.245 * [taylor]: Taking taylor expansion of x.re in y.re 0.245 * [backup-simplify]: Simplify x.re into x.re 0.245 * [backup-simplify]: Simplify (* 0 x.re) into 0 0.245 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 0.245 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 0.245 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.245 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.245 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.245 * [taylor]: Taking taylor expansion of y.im in x.re 0.245 * [backup-simplify]: Simplify y.im into y.im 0.245 * [taylor]: Taking taylor expansion of x.im in x.re 0.245 * [backup-simplify]: Simplify x.im into x.im 0.246 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.246 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.246 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.246 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.246 * [taylor]: Taking taylor expansion of y.re in x.re 0.246 * [backup-simplify]: Simplify y.re into y.re 0.246 * [taylor]: Taking taylor expansion of x.re in x.re 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* y.re 0) into 0 0.246 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.246 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 0.246 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 0.246 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 0.246 * [taylor]: Taking taylor expansion of y.im in x.re 0.246 * [backup-simplify]: Simplify y.im into y.im 0.246 * [taylor]: Taking taylor expansion of x.im in x.re 0.246 * [backup-simplify]: Simplify x.im into x.im 0.247 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.247 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.247 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 0.247 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 0.247 * [taylor]: Taking taylor expansion of y.re in x.re 0.247 * [backup-simplify]: Simplify y.re into y.re 0.247 * [taylor]: Taking taylor expansion of x.re in x.re 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify 1 into 1 0.247 * [backup-simplify]: Simplify (* y.re 0) into 0 0.247 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 0.247 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 0.247 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 0.247 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 0.247 * [taylor]: Taking taylor expansion of y.re in y.re 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 1 into 1 0.248 * [backup-simplify]: Simplify (/ 1 1) into 1 0.248 * [taylor]: Taking taylor expansion of 1 in x.im 0.248 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 0.249 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 0.249 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 0.249 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 0.249 * [taylor]: Taking taylor expansion of y.im in y.re 0.249 * [backup-simplify]: Simplify y.im into y.im 0.249 * [taylor]: Taking taylor expansion of x.im in y.re 0.249 * [backup-simplify]: Simplify x.im into x.im 0.249 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 0.249 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in x.im 0.250 * [backup-simplify]: Simplify 0 into 0 0.250 * [taylor]: Taking taylor expansion of 1 in y.im 0.250 * [backup-simplify]: Simplify 1 into 1 0.250 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.250 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.251 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.251 * [taylor]: Taking taylor expansion of 0 in y.re 0.251 * [backup-simplify]: Simplify 0 into 0 0.252 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 0.252 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 0.252 * [taylor]: Taking taylor expansion of y.im in x.im 0.252 * [backup-simplify]: Simplify y.im into y.im 0.252 * [taylor]: Taking taylor expansion of x.im in x.im 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify 1 into 1 0.252 * [backup-simplify]: Simplify (* y.im 0) into 0 0.252 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 0.252 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 0.252 * [taylor]: Taking taylor expansion of (/ 1 y.im) 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 0.253 * [backup-simplify]: Simplify (/ 1 1) into 1 0.253 * [backup-simplify]: Simplify 1 into 1 0.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.253 * [taylor]: Taking taylor expansion of 0 in x.im 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [taylor]: Taking taylor expansion of 0 in y.im 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [taylor]: Taking taylor expansion of 0 in y.im 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.255 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [taylor]: Taking taylor expansion of 0 in y.re 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [taylor]: Taking taylor expansion of 0 in x.im 0.256 * [backup-simplify]: Simplify 0 into 0 0.256 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 0.256 * [taylor]: Taking taylor expansion of 0 in x.im 0.256 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.257 * [taylor]: Taking taylor expansion of 0 in x.im 0.257 * [backup-simplify]: Simplify 0 into 0 0.258 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 0.258 * [taylor]: Taking taylor expansion of 0 in y.im 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [taylor]: Taking taylor expansion of 0 in y.im 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [taylor]: Taking taylor expansion of 0 in y.im 0.258 * [backup-simplify]: Simplify 0 into 0 0.258 * [taylor]: Taking taylor expansion of 0 in y.im 0.258 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 0.260 * [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 0.261 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.262 * [taylor]: Taking taylor expansion of 0 in y.re 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [taylor]: Taking taylor expansion of 0 in x.im 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [taylor]: Taking taylor expansion of 0 in x.im 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 0.263 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 0.263 * [taylor]: Taking taylor expansion of 0 in x.im 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [taylor]: Taking taylor expansion of 0 in x.im 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [taylor]: Taking taylor expansion of 0 in y.im 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [taylor]: Taking taylor expansion of 0 in y.im 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [taylor]: Taking taylor expansion of 0 in y.im 0.264 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.265 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 0.265 * [taylor]: Taking taylor expansion of 0 in y.im 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [taylor]: Taking taylor expansion of 0 in y.im 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [taylor]: Taking taylor expansion of 0 in y.im 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [taylor]: Taking taylor expansion of 0 in y.im 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 0 into 0 0.266 * [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)) 0.266 * * * [progress]: simplifying candidates 0.267 * [simplify]: Simplifying: (- (log (+ (* x.re y.re) (* x.im y.im))) (log (+ (* y.re y.re) (* y.im y.im)))) (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (exp (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (/ (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (* (* (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (* (* (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (- (+ (* x.re y.re) (* x.im y.im))) (- (+ (* y.re y.re) (* y.im y.im))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) 1) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) 1) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 1) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) 1) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (/ (+ (* x.re y.re) (* x.im y.im)) (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* y.im y.im)))) (* (+ (* y.re y.re) (* y.im y.im)) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im))))) (* (+ (* y.re y.re) (* y.im y.im)) (- (* x.re y.re) (* x.im y.im))) (* (exp (* x.re y.re)) (exp (* x.im y.im))) (log (+ (* x.re y.re) (* x.im y.im))) (exp (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im))) (* (* (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (- (* (* x.im y.im) (* x.im y.im)) (* (* x.re y.re) (* x.im y.im)))) (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im)) 0 0 0 0 (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re x.re) (* y.im x.im)) 0.269 * * [simplify]: Extracting # 0 : cost 0 0.269 * * [simplify]: Extracting # 1 : cost 0 0.269 * * [simplify]: Extracting # 2 : cost 0 0.270 * * [simplify]: Extracting # 3 : cost 0 0.270 * * [simplify]: Extracting # 4 : cost 0 0.270 * * [simplify]: Extracting # 5 : cost 0 0.270 * * [simplify]: Extracting # 6 : cost 0 0.270 * * [simplify]: Extracting # 7 : cost 0 0.271 * * [simplify]: iteration 0 : 86 enodes (cost 924 ) 0.300 * * [simplify]: Extracting # 0 : cost 0 0.300 * * [simplify]: Extracting # 1 : cost 0 0.300 * * [simplify]: Extracting # 2 : cost 0 0.301 * * [simplify]: Extracting # 3 : cost 0 0.301 * * [simplify]: Extracting # 4 : cost 0 0.301 * * [simplify]: iteration 1 : 232 enodes (cost 906 ) 0.364 * * [simplify]: Extracting # 0 : cost 0 0.365 * * [simplify]: Extracting # 1 : cost 0 0.366 * * [simplify]: Extracting # 2 : cost 0 0.367 * * [simplify]: Extracting # 3 : cost 0 0.368 * * [simplify]: Extracting # 4 : cost 0 0.368 * * [simplify]: Extracting # 5 : cost 0 0.369 * * [simplify]: Extracting # 6 : cost 0 0.374 * * [simplify]: iteration 2 : 767 enodes (cost 824 ) 0.748 * * [simplify]: Extracting # 0 : cost 0 0.753 * * [simplify]: Extracting # 1 : cost 0 0.756 * * [simplify]: Extracting # 2 : cost 0 0.760 * * [simplify]: Extracting # 3 : cost 0 0.764 * * [simplify]: Extracting # 4 : cost 0 0.767 * * [simplify]: iteration 3 : 2337 enodes (cost 820 ) 1.698 * * [simplify]: Extracting # 0 : cost 0 1.703 * * [simplify]: Extracting # 1 : cost 0 1.709 * * [simplify]: Extracting # 2 : cost 0 1.715 * * [simplify]: Extracting # 3 : cost 0 1.733 * * [simplify]: Extracting # 4 : cost 0 1.744 * * [simplify]: iteration done: 5000 enodes (cost 820 ) 1.744 * [simplify]: Simplified to: (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (log (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (exp (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (pow (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) 3) (* (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (pow (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) 3) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im)))) (- (+ (* x.re y.re) (* x.im y.im))) (- (+ (* y.re y.re) (* y.im y.im))) (/ (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* 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)))) (/ (cbrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1 (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* x.re y.re) (* x.im y.im)) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* x.re y.re) (* x.im y.im))) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (pow y.re 6) (pow y.im 6))) (/ (+ (* x.re y.re) (* x.im y.im)) (- (pow y.re 4) (pow y.im 4))) (* (+ (* (* x.re y.re) (* x.re y.re)) (* (* y.im x.im) (- (* y.im x.im) (* x.re y.re)))) (+ (* y.re y.re) (* y.im y.im))) (* (+ (* y.re y.re) (* y.im y.im)) (- (* x.re y.re) (* x.im y.im))) (exp (+ (* x.re y.re) (* x.im y.im))) (log (+ (* x.re y.re) (* x.im y.im))) (exp (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im))) (pow (+ (* x.re y.re) (* x.im y.im)) 3) (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (pow (* x.re y.re) 3) (pow (* x.im y.im) 3)) (+ (* (* x.re y.re) (* x.re y.re)) (* (* y.im x.im) (- (* y.im x.im) (* x.re y.re)))) (- (* (* x.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im)) 0 0 0 0 (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im)) 1.745 * * * [progress]: adding candidates to table 1.985 * * [progress]: iteration 2 / 4 1.985 * * * [progress]: picking best candidate 2.017 * * * * [pick]: Picked # 2.017 * * * [progress]: localizing error 2.038 * * * [progress]: generating rewritten candidates 2.038 * * * * [progress]: [ 1 / 2 ] rewriting at (2) 2.080 * * * * [progress]: [ 2 / 2 ] rewriting at (2 1 1) 2.098 * * * [progress]: generating series expansions 2.098 * * * * [progress]: [ 1 / 2 ] generating series at (2) 2.099 * [backup-simplify]: Simplify (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* 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))) 2.099 * [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 2.099 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in y.im 2.099 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 2.099 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 2.099 * [taylor]: Taking taylor expansion of y.re in y.im 2.099 * [backup-simplify]: Simplify y.re into y.re 2.099 * [taylor]: Taking taylor expansion of x.re in y.im 2.099 * [backup-simplify]: Simplify x.re into x.re 2.099 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.099 * [taylor]: Taking taylor expansion of y.im in y.im 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 1 into 1 2.099 * [taylor]: Taking taylor expansion of x.im in y.im 2.099 * [backup-simplify]: Simplify x.im into x.im 2.099 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 2.099 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.099 * [taylor]: Taking taylor expansion of y.im in y.im 2.099 * [backup-simplify]: Simplify 0 into 0 2.099 * [backup-simplify]: Simplify 1 into 1 2.099 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 2.099 * [taylor]: Taking taylor expansion of y.re in y.im 2.100 * [backup-simplify]: Simplify y.re into y.re 2.100 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.100 * [backup-simplify]: Simplify (* 0 x.im) into 0 2.100 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 2.100 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.100 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 2.100 * [backup-simplify]: Simplify (/ (* y.re x.re) (pow y.re 2)) into (/ x.re y.re) 2.100 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in x.im 2.100 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 2.100 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 2.100 * [taylor]: Taking taylor expansion of y.re in x.im 2.100 * [backup-simplify]: Simplify y.re into y.re 2.100 * [taylor]: Taking taylor expansion of x.re in x.im 2.100 * [backup-simplify]: Simplify x.re into x.re 2.100 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.100 * [taylor]: Taking taylor expansion of y.im in x.im 2.100 * [backup-simplify]: Simplify y.im into y.im 2.100 * [taylor]: Taking taylor expansion of x.im in x.im 2.100 * [backup-simplify]: Simplify 0 into 0 2.101 * [backup-simplify]: Simplify 1 into 1 2.101 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.im 2.101 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 2.101 * [taylor]: Taking taylor expansion of y.im in x.im 2.101 * [backup-simplify]: Simplify y.im into y.im 2.101 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 2.101 * [taylor]: Taking taylor expansion of y.re in x.im 2.101 * [backup-simplify]: Simplify y.re into y.re 2.101 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.101 * [backup-simplify]: Simplify (* y.im 0) into 0 2.101 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 2.101 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.101 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.101 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 2.102 * [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))) 2.102 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in y.re 2.102 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 2.102 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.102 * [taylor]: Taking taylor expansion of y.re in y.re 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [taylor]: Taking taylor expansion of x.re in y.re 2.102 * [backup-simplify]: Simplify x.re into x.re 2.102 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.102 * [taylor]: Taking taylor expansion of y.im in y.re 2.102 * [backup-simplify]: Simplify y.im into y.im 2.102 * [taylor]: Taking taylor expansion of x.im in y.re 2.102 * [backup-simplify]: Simplify x.im into x.im 2.102 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 2.102 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.102 * [taylor]: Taking taylor expansion of y.im in y.re 2.102 * [backup-simplify]: Simplify y.im into y.im 2.102 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.102 * [taylor]: Taking taylor expansion of y.re in y.re 2.102 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify 1 into 1 2.102 * [backup-simplify]: Simplify (* 0 x.re) into 0 2.102 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.102 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 2.102 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.103 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 2.103 * [backup-simplify]: Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im) 2.103 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in x.re 2.103 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 2.103 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.103 * [taylor]: Taking taylor expansion of y.re in x.re 2.103 * [backup-simplify]: Simplify y.re into y.re 2.103 * [taylor]: Taking taylor expansion of x.re in x.re 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.103 * [taylor]: Taking taylor expansion of y.im in x.re 2.103 * [backup-simplify]: Simplify y.im into y.im 2.103 * [taylor]: Taking taylor expansion of x.im in x.re 2.103 * [backup-simplify]: Simplify x.im into x.im 2.103 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 2.103 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 2.103 * [taylor]: Taking taylor expansion of y.im in x.re 2.103 * [backup-simplify]: Simplify y.im into y.im 2.103 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 2.103 * [taylor]: Taking taylor expansion of y.re in x.re 2.103 * [backup-simplify]: Simplify y.re into y.re 2.103 * [backup-simplify]: Simplify (* y.re 0) into 0 2.103 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.103 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 2.104 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.104 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.104 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 2.104 * [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))) 2.104 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in x.re 2.104 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 2.104 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.104 * [taylor]: Taking taylor expansion of y.re in x.re 2.104 * [backup-simplify]: Simplify y.re into y.re 2.104 * [taylor]: Taking taylor expansion of x.re in x.re 2.104 * [backup-simplify]: Simplify 0 into 0 2.104 * [backup-simplify]: Simplify 1 into 1 2.104 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.104 * [taylor]: Taking taylor expansion of y.im in x.re 2.104 * [backup-simplify]: Simplify y.im into y.im 2.104 * [taylor]: Taking taylor expansion of x.im in x.re 2.104 * [backup-simplify]: Simplify x.im into x.im 2.104 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 2.105 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 2.105 * [taylor]: Taking taylor expansion of y.im in x.re 2.105 * [backup-simplify]: Simplify y.im into y.im 2.105 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 2.105 * [taylor]: Taking taylor expansion of y.re in x.re 2.105 * [backup-simplify]: Simplify y.re into y.re 2.105 * [backup-simplify]: Simplify (* y.re 0) into 0 2.105 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.105 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 2.105 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.105 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.105 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 2.106 * [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))) 2.106 * [taylor]: Taking taylor expansion of (/ (* y.im x.im) (+ (pow y.im 2) (pow y.re 2))) in y.re 2.106 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.106 * [taylor]: Taking taylor expansion of y.im in y.re 2.106 * [backup-simplify]: Simplify y.im into y.im 2.106 * [taylor]: Taking taylor expansion of x.im in y.re 2.106 * [backup-simplify]: Simplify x.im into x.im 2.106 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 2.106 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.106 * [taylor]: Taking taylor expansion of y.im in y.re 2.106 * [backup-simplify]: Simplify y.im into y.im 2.106 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.106 * [taylor]: Taking taylor expansion of y.re in y.re 2.106 * [backup-simplify]: Simplify 0 into 0 2.106 * [backup-simplify]: Simplify 1 into 1 2.106 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.106 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.106 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 2.106 * [backup-simplify]: Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im) 2.106 * [taylor]: Taking taylor expansion of (/ x.im y.im) in x.im 2.107 * [taylor]: Taking taylor expansion of x.im in x.im 2.107 * [backup-simplify]: Simplify 0 into 0 2.107 * [backup-simplify]: Simplify 1 into 1 2.107 * [taylor]: Taking taylor expansion of y.im in x.im 2.107 * [backup-simplify]: Simplify y.im into y.im 2.107 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.108 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.108 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.108 * [backup-simplify]: Simplify (+ y.re 0) into y.re 2.108 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.108 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 2.108 * [backup-simplify]: Simplify (+ 0 0) into 0 2.109 * [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))) 2.109 * [taylor]: Taking taylor expansion of (/ y.re (+ (pow y.im 2) (pow y.re 2))) in y.re 2.109 * [taylor]: Taking taylor expansion of y.re in y.re 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 2.109 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.109 * [taylor]: Taking taylor expansion of y.im in y.re 2.109 * [backup-simplify]: Simplify y.im into y.im 2.109 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.109 * [taylor]: Taking taylor expansion of y.re in y.re 2.109 * [backup-simplify]: Simplify 0 into 0 2.110 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.110 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 2.110 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.110 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.110 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.110 * [backup-simplify]: Simplify (+ 0 0) into 0 2.111 * [backup-simplify]: Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.im y.im) (/ 0 (pow y.im 2))))) into 0 2.111 * [taylor]: Taking taylor expansion of 0 in x.im 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [taylor]: Taking taylor expansion of 0 in y.im 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 2.111 * [taylor]: Taking taylor expansion of y.im in y.im 2.111 * [backup-simplify]: Simplify 0 into 0 2.111 * [backup-simplify]: Simplify 1 into 1 2.111 * [backup-simplify]: Simplify (/ 1 1) into 1 2.112 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.112 * [backup-simplify]: Simplify 0 into 0 2.112 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 2.112 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.113 * [backup-simplify]: Simplify (+ 0 0) into 0 2.113 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 2.113 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 2.113 * [backup-simplify]: Simplify (+ 0 0) into 0 2.114 * [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 2.114 * [taylor]: Taking taylor expansion of 0 in y.re 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [taylor]: Taking taylor expansion of 0 in x.im 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [taylor]: Taking taylor expansion of 0 in y.im 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 2.114 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 2.114 * [taylor]: Taking taylor expansion of y.im in x.im 2.114 * [backup-simplify]: Simplify y.im into y.im 2.114 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.114 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.114 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 2.115 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.115 * [taylor]: Taking taylor expansion of y.im in y.im 2.115 * [backup-simplify]: Simplify 0 into 0 2.115 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (* 1 1) into 1 2.115 * [backup-simplify]: Simplify (/ 1 1) into 1 2.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.116 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify 0 into 0 2.117 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.117 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 2.118 * [backup-simplify]: Simplify (* 1 1) into 1 2.118 * [backup-simplify]: Simplify (+ 0 1) into 1 2.118 * [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))) 2.118 * [taylor]: Taking taylor expansion of (- (/ x.im (pow y.im 3))) in x.im 2.118 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 3)) in x.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 * [taylor]: Taking taylor expansion of (pow y.im 3) 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 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.119 * [backup-simplify]: Simplify (* y.im (pow y.im 2)) into (pow y.im 3) 2.119 * [backup-simplify]: Simplify (/ 1 (pow y.im 3)) into (/ 1 (pow y.im 3)) 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 (- (/ 0 y.im) (+ (* (/ 1 y.im) (/ 0 y.im)))) 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 0 into 0 2.119 * [backup-simplify]: Simplify (/ (pow (+ (* (/ 1 x.re) (/ 1 y.re)) (* (/ 1 x.im) (/ 1 y.im))) 1) (+ (* (/ 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)))) 2.119 * [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 2.119 * [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 2.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 2.119 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 2.119 * [taylor]: Taking taylor expansion of (* y.im x.im) in 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 * [taylor]: Taking taylor expansion of x.im in y.im 2.119 * [backup-simplify]: Simplify x.im into x.im 2.119 * [backup-simplify]: Simplify (* 0 x.im) into 0 2.120 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 2.120 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 2.120 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 2.120 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 2.120 * [taylor]: Taking taylor expansion of y.re in y.im 2.120 * [backup-simplify]: Simplify y.re into y.re 2.120 * [taylor]: Taking taylor expansion of x.re in y.im 2.120 * [backup-simplify]: Simplify x.re into x.re 2.120 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.120 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 2.120 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 2.120 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.120 * [taylor]: Taking taylor expansion of y.im in y.im 2.120 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify 1 into 1 2.120 * [backup-simplify]: Simplify (* 1 1) into 1 2.121 * [backup-simplify]: Simplify (/ 1 1) into 1 2.121 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 2.121 * [taylor]: Taking taylor expansion of (pow y.re 2) 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 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.121 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.121 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 2.121 * [backup-simplify]: Simplify (+ 1 0) into 1 2.121 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im) 2.121 * [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 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 2.121 * [backup-simplify]: Simplify 1 into 1 2.121 * [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 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 2.122 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 2.122 * [taylor]: Taking taylor expansion of y.im in x.im 2.122 * [backup-simplify]: Simplify y.im into y.im 2.122 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.122 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.122 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 2.122 * [taylor]: Taking taylor expansion of (pow y.re 2) 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 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.122 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.122 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 2.122 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 2.123 * [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))))) 2.123 * [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 2.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 2.123 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.123 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.123 * [taylor]: Taking taylor expansion of y.im in y.re 2.123 * [backup-simplify]: Simplify y.im into y.im 2.123 * [taylor]: Taking taylor expansion of x.im in y.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 y.re 2.123 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.123 * [taylor]: Taking taylor expansion of y.re in y.re 2.123 * [backup-simplify]: Simplify 0 into 0 2.123 * [backup-simplify]: Simplify 1 into 1 2.123 * [taylor]: Taking taylor expansion of x.re in y.re 2.123 * [backup-simplify]: Simplify x.re into x.re 2.123 * [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 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 2.123 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 2.123 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.123 * [taylor]: Taking taylor expansion of y.im in y.re 2.123 * [backup-simplify]: Simplify y.im into y.im 2.124 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.124 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.124 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 2.124 * [taylor]: Taking taylor expansion of (pow y.re 2) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 2.124 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 2.124 * [backup-simplify]: Simplify (+ 0 1) into 1 2.125 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re) 2.125 * [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 2.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.125 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.125 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.125 * [taylor]: Taking taylor expansion of y.im in x.re 2.125 * [backup-simplify]: Simplify y.im into y.im 2.125 * [taylor]: Taking taylor expansion of x.im in x.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)) 2.125 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.125 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.125 * [taylor]: Taking taylor expansion of y.re in x.re 2.125 * [backup-simplify]: Simplify y.re into y.re 2.125 * [taylor]: Taking taylor expansion of x.re in x.re 2.125 * [backup-simplify]: Simplify 0 into 0 2.125 * [backup-simplify]: Simplify 1 into 1 2.125 * [backup-simplify]: Simplify (* y.re 0) into 0 2.125 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.125 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.125 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 2.125 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 2.125 * [taylor]: Taking taylor expansion of y.im in x.re 2.125 * [backup-simplify]: Simplify y.im into y.im 2.125 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.125 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.125 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 2.125 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 2.126 * [taylor]: Taking taylor expansion of y.re in x.re 2.126 * [backup-simplify]: Simplify y.re into y.re 2.126 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.126 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.126 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 2.126 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 2.126 * [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)) 2.126 * [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 2.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.126 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.126 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.126 * [taylor]: Taking taylor expansion of y.im in x.re 2.126 * [backup-simplify]: Simplify y.im into y.im 2.126 * [taylor]: Taking taylor expansion of x.im in x.re 2.126 * [backup-simplify]: Simplify x.im into x.im 2.126 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.126 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.126 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.126 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.126 * [taylor]: Taking taylor expansion of y.re in x.re 2.126 * [backup-simplify]: Simplify y.re into y.re 2.126 * [taylor]: Taking taylor expansion of x.re in x.re 2.126 * [backup-simplify]: Simplify 0 into 0 2.126 * [backup-simplify]: Simplify 1 into 1 2.126 * [backup-simplify]: Simplify (* y.re 0) into 0 2.127 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.127 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.127 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 2.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 2.127 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 2.127 * [taylor]: Taking taylor expansion of y.im in x.re 2.127 * [backup-simplify]: Simplify y.im into y.im 2.127 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.127 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.127 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 2.127 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 2.127 * [taylor]: Taking taylor expansion of y.re in x.re 2.127 * [backup-simplify]: Simplify y.re into y.re 2.127 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.127 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.127 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 2.127 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 2.128 * [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)) 2.128 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) in y.re 2.128 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re) in y.re 2.128 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 2.128 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.128 * [taylor]: Taking taylor expansion of y.im in y.re 2.128 * [backup-simplify]: Simplify y.im into y.im 2.128 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.128 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.128 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 2.128 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.128 * [taylor]: Taking taylor expansion of y.re in y.re 2.128 * [backup-simplify]: Simplify 0 into 0 2.131 * [backup-simplify]: Simplify 1 into 1 2.132 * [backup-simplify]: Simplify (* 1 1) into 1 2.133 * [backup-simplify]: Simplify (/ 1 1) into 1 2.133 * [taylor]: Taking taylor expansion of y.re in y.re 2.133 * [backup-simplify]: Simplify 0 into 0 2.133 * [backup-simplify]: Simplify 1 into 1 2.133 * [backup-simplify]: Simplify (+ 0 1) into 1 2.134 * [backup-simplify]: Simplify (* 1 0) into 0 2.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify (+ 0 0) into 0 2.136 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 2.136 * [backup-simplify]: Simplify (/ 1 1) into 1 2.136 * [taylor]: Taking taylor expansion of 1 in x.im 2.136 * [backup-simplify]: Simplify 1 into 1 2.137 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 2.137 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 2.137 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 2.137 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 2.138 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 2.138 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 2.138 * [backup-simplify]: Simplify (+ 0 0) into 0 2.139 * [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)))))) 2.140 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 2.140 * [taylor]: Taking taylor expansion of (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 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 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 2.140 * [taylor]: Taking taylor expansion of x.im in y.re 2.140 * [backup-simplify]: Simplify x.im into x.im 2.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 2.140 * [taylor]: Taking taylor expansion of (pow y.im 2) 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 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.140 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.140 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 2.140 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.140 * [taylor]: Taking taylor expansion of y.re in y.re 2.140 * [backup-simplify]: Simplify 0 into 0 2.140 * [backup-simplify]: Simplify 1 into 1 2.141 * [backup-simplify]: Simplify (* 1 1) into 1 2.141 * [backup-simplify]: Simplify (/ 1 1) into 1 2.141 * [backup-simplify]: Simplify (+ 0 1) into 1 2.141 * [backup-simplify]: Simplify (* x.im 1) 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)) 2.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.142 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 2.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow y.im 2)) 0))) into 0 2.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.143 * [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 0 into 0 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 2.144 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.144 * [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 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 2.145 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 2.145 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 2.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 2.146 * [backup-simplify]: Simplify (+ 0 0) into 0 2.148 * [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 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 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.148 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.148 * [taylor]: Taking taylor expansion of y.im in x.im 2.148 * [backup-simplify]: Simplify y.im into y.im 2.148 * [taylor]: Taking taylor expansion of x.im in x.im 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (* y.im 0) into 0 2.148 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.148 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.148 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 2.149 * [taylor]: Taking taylor expansion of y.im in y.im 2.149 * [backup-simplify]: Simplify 0 into 0 2.149 * [backup-simplify]: Simplify 1 into 1 2.149 * [backup-simplify]: Simplify (/ 1 1) into 1 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify 0 into 0 2.151 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.151 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 2.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.153 * [backup-simplify]: Simplify (+ 0 0) into 0 2.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 1) (* 0 0)))) into (/ 1 (pow y.im 2)) 2.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 2.155 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.im 2.155 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 2.155 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 2.155 * [taylor]: Taking taylor expansion of y.im in x.im 2.155 * [backup-simplify]: Simplify y.im into y.im 2.155 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.156 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.156 * [taylor]: Taking taylor expansion of 0 in y.im 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [taylor]: Taking taylor expansion of 0 in y.im 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.157 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.157 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.158 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.158 * [backup-simplify]: Simplify (+ 0 0) into 0 2.158 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 2.159 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 2.159 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 2.160 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 2.160 * [backup-simplify]: Simplify (+ 0 0) into 0 2.161 * [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))))) (* 0 (/ 0 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 2.161 * [taylor]: Taking taylor expansion of 0 in y.re 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [taylor]: Taking taylor expansion of 0 in x.im 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [taylor]: Taking taylor expansion of 0 in x.im 2.161 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.162 * [backup-simplify]: Simplify (+ 0 0) into 0 2.163 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0 2.163 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.163 * [taylor]: Taking taylor expansion of 0 in x.im 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 2.163 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 2.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.165 * [backup-simplify]: Simplify (+ 0 0) into 0 2.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 2.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 2.167 * [taylor]: Taking taylor expansion of 0 in x.im 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [taylor]: Taking taylor expansion of 0 in y.im 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify (/ (pow (+ (* (/ 1 (- x.re)) (/ 1 (- y.re))) (* (/ 1 (- x.im)) (/ 1 (- y.im)))) 1) (+ (* (/ 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)))) 2.167 * [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 2.167 * [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 2.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 2.167 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 2.167 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.167 * [taylor]: Taking taylor expansion of y.im in y.im 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 1 into 1 2.167 * [taylor]: Taking taylor expansion of x.im in y.im 2.167 * [backup-simplify]: Simplify x.im into x.im 2.167 * [backup-simplify]: Simplify (* 0 x.im) into 0 2.168 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 2.168 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 2.168 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 2.168 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 2.168 * [taylor]: Taking taylor expansion of y.re in y.im 2.168 * [backup-simplify]: Simplify y.re into y.re 2.168 * [taylor]: Taking taylor expansion of x.re in y.im 2.168 * [backup-simplify]: Simplify x.re into x.re 2.168 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.168 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 2.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 2.168 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 2.168 * [taylor]: Taking taylor expansion of y.im in y.im 2.168 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify 1 into 1 2.168 * [backup-simplify]: Simplify (* 1 1) into 1 2.168 * [backup-simplify]: Simplify (/ 1 1) into 1 2.168 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 2.168 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 2.168 * [taylor]: Taking taylor expansion of y.re in y.im 2.168 * [backup-simplify]: Simplify y.re into y.re 2.168 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.169 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.169 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 2.169 * [backup-simplify]: Simplify (+ 1 0) into 1 2.169 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im) 2.169 * [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 2.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 2.169 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.169 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.169 * [taylor]: Taking taylor expansion of y.im in x.im 2.169 * [backup-simplify]: Simplify y.im into y.im 2.169 * [taylor]: Taking taylor expansion of x.im in x.im 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (* y.im 0) into 0 2.169 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.169 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.169 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 2.170 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 2.170 * [taylor]: Taking taylor expansion of y.re in x.im 2.170 * [backup-simplify]: Simplify y.re into y.re 2.170 * [taylor]: Taking taylor expansion of x.re in x.im 2.170 * [backup-simplify]: Simplify x.re into x.re 2.170 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.170 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.170 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 2.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 2.170 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 2.170 * [taylor]: Taking taylor expansion of y.im in x.im 2.170 * [backup-simplify]: Simplify y.im into y.im 2.170 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.170 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.170 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 2.170 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 2.170 * [taylor]: Taking taylor expansion of y.re in x.im 2.170 * [backup-simplify]: Simplify y.re into y.re 2.170 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.170 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.170 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 2.170 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 2.171 * [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))))) 2.171 * [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 2.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 2.171 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.171 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.171 * [taylor]: Taking taylor expansion of y.im in y.re 2.171 * [backup-simplify]: Simplify y.im into y.im 2.171 * [taylor]: Taking taylor expansion of x.im in y.re 2.171 * [backup-simplify]: Simplify x.im into x.im 2.171 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.171 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.171 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 2.171 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.171 * [taylor]: Taking taylor expansion of y.re in y.re 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.171 * [taylor]: Taking taylor expansion of x.re in y.re 2.171 * [backup-simplify]: Simplify x.re into x.re 2.171 * [backup-simplify]: Simplify (* 0 x.re) into 0 2.171 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 2.171 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 2.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 2.171 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.171 * [taylor]: Taking taylor expansion of y.im in y.re 2.171 * [backup-simplify]: Simplify y.im into y.im 2.171 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.171 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.171 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 2.171 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.171 * [taylor]: Taking taylor expansion of y.re in y.re 2.171 * [backup-simplify]: Simplify 0 into 0 2.171 * [backup-simplify]: Simplify 1 into 1 2.172 * [backup-simplify]: Simplify (* 1 1) into 1 2.172 * [backup-simplify]: Simplify (/ 1 1) into 1 2.172 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 2.172 * [backup-simplify]: Simplify (+ 0 1) into 1 2.172 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re) 2.172 * [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 2.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.172 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.172 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.172 * [taylor]: Taking taylor expansion of y.im in x.re 2.172 * [backup-simplify]: Simplify y.im into y.im 2.172 * [taylor]: Taking taylor expansion of x.im in x.re 2.172 * [backup-simplify]: Simplify x.im into x.im 2.173 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.173 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.173 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.173 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.173 * [taylor]: Taking taylor expansion of y.re in x.re 2.173 * [backup-simplify]: Simplify y.re into y.re 2.173 * [taylor]: Taking taylor expansion of x.re in x.re 2.173 * [backup-simplify]: Simplify 0 into 0 2.173 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (* y.re 0) into 0 2.173 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.173 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 2.173 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 2.173 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 2.173 * [taylor]: Taking taylor expansion of y.im in x.re 2.173 * [backup-simplify]: Simplify y.im into y.im 2.173 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.173 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.174 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 2.174 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 2.174 * [taylor]: Taking taylor expansion of y.re in x.re 2.174 * [backup-simplify]: Simplify y.re into y.re 2.174 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.174 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.174 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 2.174 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 2.175 * [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)) 2.175 * [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 2.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.175 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.175 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.175 * [taylor]: Taking taylor expansion of y.im in x.re 2.175 * [backup-simplify]: Simplify y.im into y.im 2.175 * [taylor]: Taking taylor expansion of x.im in x.re 2.175 * [backup-simplify]: Simplify x.im into x.im 2.175 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.175 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.175 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.175 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.175 * [taylor]: Taking taylor expansion of y.re in x.re 2.175 * [backup-simplify]: Simplify y.re into y.re 2.175 * [taylor]: Taking taylor expansion of x.re in x.re 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.175 * [backup-simplify]: Simplify (* y.re 0) into 0 2.176 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.176 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 2.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 2.176 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 2.176 * [taylor]: Taking taylor expansion of y.im in x.re 2.176 * [backup-simplify]: Simplify y.im into y.im 2.176 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.176 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.176 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 2.176 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 2.176 * [taylor]: Taking taylor expansion of y.re in x.re 2.176 * [backup-simplify]: Simplify y.re into y.re 2.176 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 2.176 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 2.177 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 2.177 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 2.177 * [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)) 2.177 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) in y.re 2.177 * [taylor]: Taking taylor expansion of (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re) in y.re 2.177 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 2.177 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 2.177 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.177 * [taylor]: Taking taylor expansion of y.im in y.re 2.177 * [backup-simplify]: Simplify y.im into y.im 2.178 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.178 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.178 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 2.178 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.178 * [taylor]: Taking taylor expansion of y.re in y.re 2.178 * [backup-simplify]: Simplify 0 into 0 2.178 * [backup-simplify]: Simplify 1 into 1 2.178 * [backup-simplify]: Simplify (* 1 1) into 1 2.179 * [backup-simplify]: Simplify (/ 1 1) into 1 2.179 * [taylor]: Taking taylor expansion of y.re in y.re 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [backup-simplify]: Simplify (+ 0 1) into 1 2.179 * [backup-simplify]: Simplify (* 1 0) into 0 2.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.181 * [backup-simplify]: Simplify (+ 0 0) into 0 2.182 * [backup-simplify]: Simplify (+ (* 1 1) (* 0 0)) into 1 2.182 * [backup-simplify]: Simplify (/ 1 1) into 1 2.182 * [taylor]: Taking taylor expansion of 1 in x.im 2.182 * [backup-simplify]: Simplify 1 into 1 2.183 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 2.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 2.183 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 2.183 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.183 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 2.184 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 2.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 2.184 * [backup-simplify]: Simplify (+ 0 0) into 0 2.185 * [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)))))) 2.185 * [taylor]: Taking taylor expansion of (/ 1 (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))))) in y.re 2.185 * [taylor]: Taking taylor expansion of (* y.im (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 2.185 * [taylor]: Taking taylor expansion of y.im in y.re 2.185 * [backup-simplify]: Simplify y.im into y.im 2.185 * [taylor]: Taking taylor expansion of (* x.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 2.185 * [taylor]: Taking taylor expansion of x.im in y.re 2.185 * [backup-simplify]: Simplify x.im into x.im 2.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 2.185 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 2.185 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 2.185 * [taylor]: Taking taylor expansion of y.im in y.re 2.185 * [backup-simplify]: Simplify y.im into y.im 2.186 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.186 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.186 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 2.186 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 2.186 * [taylor]: Taking taylor expansion of y.re in y.re 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.186 * [backup-simplify]: Simplify (* 1 1) into 1 2.186 * [backup-simplify]: Simplify (/ 1 1) into 1 2.186 * [backup-simplify]: Simplify (+ 0 1) into 1 2.186 * [backup-simplify]: Simplify (* x.im 1) into x.im 2.187 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.187 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.187 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.188 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 2.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 1) (* (/ 1 (pow y.im 2)) 0))) into 0 2.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.189 * [taylor]: Taking taylor expansion of 0 in x.im 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [taylor]: Taking taylor expansion of 1 in y.im 2.189 * [backup-simplify]: Simplify 1 into 1 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.190 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.190 * [backup-simplify]: Simplify (+ 0 0) into 0 2.190 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 2.191 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 2.191 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 2.192 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 2.192 * [backup-simplify]: Simplify (+ 0 0) into 0 2.193 * [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 2.193 * [taylor]: Taking taylor expansion of 0 in y.re 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [taylor]: Taking taylor expansion of 0 in x.im 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.193 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.193 * [taylor]: Taking taylor expansion of y.im in x.im 2.193 * [backup-simplify]: Simplify y.im into y.im 2.193 * [taylor]: Taking taylor expansion of x.im in x.im 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (* y.im 0) into 0 2.193 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.193 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.193 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 2.193 * [taylor]: Taking taylor expansion of y.im in y.im 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (/ 1 1) into 1 2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 2.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 2.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 1) (* 0 0)))) into (/ 1 (pow y.im 2)) 2.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 2.198 * [taylor]: Taking taylor expansion of (- (/ 1 (pow y.im 2))) in x.im 2.198 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 2.198 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 2.198 * [taylor]: Taking taylor expansion of y.im in x.im 2.198 * [backup-simplify]: Simplify y.im into y.im 2.198 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 2.198 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 2.198 * [taylor]: Taking taylor expansion of 0 in y.im 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [taylor]: Taking taylor expansion of 0 in y.im 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.199 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.199 * [backup-simplify]: Simplify (+ 0 0) into 0 2.200 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 2.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 2.201 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 2.201 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 2.201 * [backup-simplify]: Simplify (+ 0 0) into 0 2.202 * [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 2.203 * [taylor]: Taking taylor expansion of 0 in y.re 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [taylor]: Taking taylor expansion of 0 in x.im 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [taylor]: Taking taylor expansion of 0 in x.im 2.203 * [backup-simplify]: Simplify 0 into 0 2.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.204 * [backup-simplify]: Simplify (+ 0 0) into 0 2.204 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 1)) into 0 2.204 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.204 * [taylor]: Taking taylor expansion of 0 in x.im 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 2.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 2.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (+ 0 0) into 0 2.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ 1 (pow y.im 2)) 0) (+ (* 0 1) (* 0 0))))) into 0 2.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 2.208 * [taylor]: Taking taylor expansion of 0 in x.im 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [taylor]: Taking taylor expansion of 0 in y.im 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * * * * [progress]: [ 2 / 2 ] generating series at (2 1 1) 2.208 * [backup-simplify]: Simplify (+ (* x.re y.re) (* x.im y.im)) into (+ (* y.re x.re) (* y.im x.im)) 2.208 * [approximate]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in (x.re y.re x.im y.im) around 0 2.208 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 2.208 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 2.208 * [taylor]: Taking taylor expansion of y.re in y.im 2.208 * [backup-simplify]: Simplify y.re into y.re 2.208 * [taylor]: Taking taylor expansion of x.re in y.im 2.208 * [backup-simplify]: Simplify x.re into x.re 2.208 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.208 * [taylor]: Taking taylor expansion of y.im in y.im 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [taylor]: Taking taylor expansion of x.im in y.im 2.208 * [backup-simplify]: Simplify x.im into x.im 2.208 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 2.208 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 2.208 * [taylor]: Taking taylor expansion of y.re in x.im 2.208 * [backup-simplify]: Simplify y.re into y.re 2.208 * [taylor]: Taking taylor expansion of x.re in x.im 2.209 * [backup-simplify]: Simplify x.re into x.re 2.209 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.209 * [taylor]: Taking taylor expansion of y.im in x.im 2.209 * [backup-simplify]: Simplify y.im into y.im 2.209 * [taylor]: Taking taylor expansion of x.im in x.im 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 2.209 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.209 * [taylor]: Taking taylor expansion of y.re in y.re 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [taylor]: Taking taylor expansion of x.re in y.re 2.209 * [backup-simplify]: Simplify x.re into x.re 2.209 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.209 * [taylor]: Taking taylor expansion of y.im in y.re 2.209 * [backup-simplify]: Simplify y.im into y.im 2.209 * [taylor]: Taking taylor expansion of x.im in y.re 2.209 * [backup-simplify]: Simplify x.im into x.im 2.209 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 2.209 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.209 * [taylor]: Taking taylor expansion of y.re in x.re 2.209 * [backup-simplify]: Simplify y.re into y.re 2.209 * [taylor]: Taking taylor expansion of x.re in x.re 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.209 * [taylor]: Taking taylor expansion of y.im in x.re 2.209 * [backup-simplify]: Simplify y.im into y.im 2.209 * [taylor]: Taking taylor expansion of x.im in x.re 2.209 * [backup-simplify]: Simplify x.im into x.im 2.209 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 2.209 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.209 * [taylor]: Taking taylor expansion of y.re in x.re 2.209 * [backup-simplify]: Simplify y.re into y.re 2.209 * [taylor]: Taking taylor expansion of x.re in x.re 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.209 * [taylor]: Taking taylor expansion of y.im in x.re 2.209 * [backup-simplify]: Simplify y.im into y.im 2.209 * [taylor]: Taking taylor expansion of x.im in x.re 2.209 * [backup-simplify]: Simplify x.im into x.im 2.209 * [backup-simplify]: Simplify (* y.re 0) into 0 2.209 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.209 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 2.209 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.209 * [taylor]: Taking taylor expansion of y.im in y.re 2.209 * [backup-simplify]: Simplify y.im into y.im 2.209 * [taylor]: Taking taylor expansion of x.im in y.re 2.209 * [backup-simplify]: Simplify x.im into x.im 2.209 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.209 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.209 * [taylor]: Taking taylor expansion of y.im in x.im 2.209 * [backup-simplify]: Simplify y.im into y.im 2.209 * [taylor]: Taking taylor expansion of x.im in x.im 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [backup-simplify]: Simplify (* y.im 0) into 0 2.210 * [taylor]: Taking taylor expansion of 0 in y.im 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.210 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.210 * [backup-simplify]: Simplify (+ y.re 0) into y.re 2.210 * [taylor]: Taking taylor expansion of y.re in y.re 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 1 into 1 2.210 * [taylor]: Taking taylor expansion of 0 in x.im 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [taylor]: Taking taylor expansion of 0 in y.im 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.210 * [taylor]: Taking taylor expansion of 0 in x.im 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [taylor]: Taking taylor expansion of 0 in y.im 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.210 * [taylor]: Taking taylor expansion of y.im in y.im 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 2.211 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.212 * [backup-simplify]: Simplify (+ 0 0) into 0 2.212 * [taylor]: Taking taylor expansion of 0 in y.re 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [taylor]: Taking taylor expansion of 0 in x.im 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [taylor]: Taking taylor expansion of 0 in y.im 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [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))) 2.212 * [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 2.212 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 2.212 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 2.212 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.212 * [taylor]: Taking taylor expansion of y.im in y.im 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.212 * [taylor]: Taking taylor expansion of x.im in y.im 2.212 * [backup-simplify]: Simplify x.im into x.im 2.212 * [backup-simplify]: Simplify (* 0 x.im) into 0 2.212 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 2.212 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 2.212 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 2.212 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 2.212 * [taylor]: Taking taylor expansion of y.re in y.im 2.212 * [backup-simplify]: Simplify y.re into y.re 2.212 * [taylor]: Taking taylor expansion of x.re in y.im 2.212 * [backup-simplify]: Simplify x.re into x.re 2.212 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.213 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 2.213 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.213 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.213 * [taylor]: Taking taylor expansion of y.im in x.im 2.213 * [backup-simplify]: Simplify y.im into y.im 2.213 * [taylor]: Taking taylor expansion of x.im in x.im 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (* y.im 0) into 0 2.213 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.213 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.213 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 2.213 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 2.213 * [taylor]: Taking taylor expansion of y.re in x.im 2.213 * [backup-simplify]: Simplify y.re into y.re 2.213 * [taylor]: Taking taylor expansion of x.re in x.im 2.213 * [backup-simplify]: Simplify x.re into x.re 2.213 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.213 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 2.213 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.213 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.213 * [taylor]: Taking taylor expansion of y.im in y.re 2.213 * [backup-simplify]: Simplify y.im into y.im 2.213 * [taylor]: Taking taylor expansion of x.im in y.re 2.213 * [backup-simplify]: Simplify x.im into x.im 2.213 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.213 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.213 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 2.213 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.213 * [taylor]: Taking taylor expansion of y.re in y.re 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [taylor]: Taking taylor expansion of x.re in y.re 2.213 * [backup-simplify]: Simplify x.re into x.re 2.214 * [backup-simplify]: Simplify (* 0 x.re) into 0 2.214 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 2.214 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 2.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.214 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.214 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.214 * [taylor]: Taking taylor expansion of y.im in x.re 2.214 * [backup-simplify]: Simplify y.im into y.im 2.214 * [taylor]: Taking taylor expansion of x.im in x.re 2.214 * [backup-simplify]: Simplify x.im into x.im 2.214 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.214 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.214 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.214 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.214 * [taylor]: Taking taylor expansion of y.re in x.re 2.214 * [backup-simplify]: Simplify y.re into y.re 2.214 * [taylor]: Taking taylor expansion of x.re in x.re 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 1 into 1 2.214 * [backup-simplify]: Simplify (* y.re 0) into 0 2.214 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.214 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.214 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.215 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.215 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.215 * [taylor]: Taking taylor expansion of y.im in x.re 2.215 * [backup-simplify]: Simplify y.im into y.im 2.215 * [taylor]: Taking taylor expansion of x.im in x.re 2.215 * [backup-simplify]: Simplify x.im into x.im 2.215 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.215 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.215 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.215 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.215 * [taylor]: Taking taylor expansion of y.re in x.re 2.215 * [backup-simplify]: Simplify y.re into y.re 2.215 * [taylor]: Taking taylor expansion of x.re in x.re 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [backup-simplify]: Simplify (* y.re 0) into 0 2.215 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.215 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.215 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 2.215 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 2.215 * [taylor]: Taking taylor expansion of y.re in y.re 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.216 * [backup-simplify]: Simplify (/ 1 1) into 1 2.216 * [taylor]: Taking taylor expansion of 1 in x.im 2.216 * [backup-simplify]: Simplify 1 into 1 2.216 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 2.216 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 2.216 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 2.216 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.216 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.216 * [taylor]: Taking taylor expansion of y.im in y.re 2.216 * [backup-simplify]: Simplify y.im into y.im 2.216 * [taylor]: Taking taylor expansion of x.im in y.re 2.216 * [backup-simplify]: Simplify x.im into x.im 2.216 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.216 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.217 * [taylor]: Taking taylor expansion of 0 in x.im 2.217 * [backup-simplify]: Simplify 0 into 0 2.217 * [taylor]: Taking taylor expansion of 1 in y.im 2.217 * [backup-simplify]: Simplify 1 into 1 2.217 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.217 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.218 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.218 * [backup-simplify]: Simplify (+ 0 0) into 0 2.218 * [taylor]: Taking taylor expansion of 0 in y.re 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.218 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.218 * [taylor]: Taking taylor expansion of y.im in x.im 2.218 * [backup-simplify]: Simplify y.im into y.im 2.218 * [taylor]: Taking taylor expansion of x.im in x.im 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 1 into 1 2.218 * [backup-simplify]: Simplify (* y.im 0) into 0 2.218 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.218 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.218 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 2.218 * [taylor]: Taking taylor expansion of y.im in y.im 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (/ 1 1) into 1 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.219 * [taylor]: Taking taylor expansion of 0 in x.im 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [taylor]: Taking taylor expansion of 0 in y.im 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [taylor]: Taking taylor expansion of 0 in y.im 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.221 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.221 * [taylor]: Taking taylor expansion of 0 in y.re 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [taylor]: Taking taylor expansion of 0 in x.im 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.222 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.222 * [taylor]: Taking taylor expansion of 0 in x.im 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.222 * [taylor]: Taking taylor expansion of 0 in x.im 2.222 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 2.223 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 2.223 * [taylor]: Taking taylor expansion of 0 in y.im 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [taylor]: Taking taylor expansion of 0 in y.im 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [taylor]: Taking taylor expansion of 0 in y.im 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [taylor]: Taking taylor expansion of 0 in y.im 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 2.224 * [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 2.225 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.225 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.225 * [backup-simplify]: Simplify (+ 0 0) into 0 2.225 * [taylor]: Taking taylor expansion of 0 in y.re 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [taylor]: Taking taylor expansion of 0 in x.im 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [taylor]: Taking taylor expansion of 0 in x.im 2.225 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.226 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.226 * [taylor]: Taking taylor expansion of 0 in x.im 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.226 * [taylor]: Taking taylor expansion of 0 in x.im 2.226 * [backup-simplify]: Simplify 0 into 0 2.227 * [taylor]: Taking taylor expansion of 0 in y.im 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [taylor]: Taking taylor expansion of 0 in y.im 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [taylor]: Taking taylor expansion of 0 in y.im 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.227 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 2.227 * [taylor]: Taking taylor expansion of 0 in y.im 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [taylor]: Taking taylor expansion of 0 in y.im 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [taylor]: Taking taylor expansion of 0 in y.im 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [taylor]: Taking taylor expansion of 0 in y.im 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.227 * [backup-simplify]: Simplify 0 into 0 2.228 * [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)) 2.228 * [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))) 2.228 * [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 2.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 2.228 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 2.228 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 2.228 * [taylor]: Taking taylor expansion of y.im in y.im 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify 1 into 1 2.228 * [taylor]: Taking taylor expansion of x.im in y.im 2.228 * [backup-simplify]: Simplify x.im into x.im 2.228 * [backup-simplify]: Simplify (* 0 x.im) into 0 2.229 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 2.229 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 2.229 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 2.229 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 2.229 * [taylor]: Taking taylor expansion of y.re in y.im 2.229 * [backup-simplify]: Simplify y.re into y.re 2.229 * [taylor]: Taking taylor expansion of x.re in y.im 2.229 * [backup-simplify]: Simplify x.re into x.re 2.229 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.229 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 2.229 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.229 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.229 * [taylor]: Taking taylor expansion of y.im in x.im 2.229 * [backup-simplify]: Simplify y.im into y.im 2.229 * [taylor]: Taking taylor expansion of x.im in x.im 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 1 into 1 2.229 * [backup-simplify]: Simplify (* y.im 0) into 0 2.229 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.229 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.229 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 2.229 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 2.229 * [taylor]: Taking taylor expansion of y.re in x.im 2.229 * [backup-simplify]: Simplify y.re into y.re 2.229 * [taylor]: Taking taylor expansion of x.re in x.im 2.229 * [backup-simplify]: Simplify x.re into x.re 2.229 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 2.229 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 2.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 2.230 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.230 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.230 * [taylor]: Taking taylor expansion of y.im in y.re 2.230 * [backup-simplify]: Simplify y.im into y.im 2.230 * [taylor]: Taking taylor expansion of x.im in y.re 2.230 * [backup-simplify]: Simplify x.im into x.im 2.230 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.230 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.230 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 2.230 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 2.230 * [taylor]: Taking taylor expansion of y.re in y.re 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.230 * [taylor]: Taking taylor expansion of x.re in y.re 2.230 * [backup-simplify]: Simplify x.re into x.re 2.230 * [backup-simplify]: Simplify (* 0 x.re) into 0 2.230 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 2.230 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 2.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.230 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.230 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.230 * [taylor]: Taking taylor expansion of y.im in x.re 2.230 * [backup-simplify]: Simplify y.im into y.im 2.230 * [taylor]: Taking taylor expansion of x.im in x.re 2.230 * [backup-simplify]: Simplify x.im into x.im 2.230 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.230 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.230 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.230 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.230 * [taylor]: Taking taylor expansion of y.re in x.re 2.230 * [backup-simplify]: Simplify y.re into y.re 2.230 * [taylor]: Taking taylor expansion of x.re in x.re 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (* y.re 0) into 0 2.231 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.231 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.231 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 2.231 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 2.231 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 2.231 * [taylor]: Taking taylor expansion of y.im in x.re 2.231 * [backup-simplify]: Simplify y.im into y.im 2.231 * [taylor]: Taking taylor expansion of x.im in x.re 2.231 * [backup-simplify]: Simplify x.im into x.im 2.231 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.231 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.231 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 2.231 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 2.231 * [taylor]: Taking taylor expansion of y.re in x.re 2.231 * [backup-simplify]: Simplify y.re into y.re 2.231 * [taylor]: Taking taylor expansion of x.re in x.re 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (* y.re 0) into 0 2.231 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 2.231 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 2.232 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 2.232 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 2.232 * [taylor]: Taking taylor expansion of y.re in y.re 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (/ 1 1) into 1 2.232 * [taylor]: Taking taylor expansion of 1 in x.im 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 2.232 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 2.232 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 2.233 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 2.233 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 2.233 * [taylor]: Taking taylor expansion of y.im in y.re 2.233 * [backup-simplify]: Simplify y.im into y.im 2.233 * [taylor]: Taking taylor expansion of x.im in y.re 2.233 * [backup-simplify]: Simplify x.im into x.im 2.233 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 2.233 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 2.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.233 * [taylor]: Taking taylor expansion of 0 in x.im 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [taylor]: Taking taylor expansion of 1 in y.im 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.234 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.234 * [backup-simplify]: Simplify (+ 0 0) into 0 2.234 * [taylor]: Taking taylor expansion of 0 in y.re 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 2.234 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 2.234 * [taylor]: Taking taylor expansion of y.im in x.im 2.234 * [backup-simplify]: Simplify y.im into y.im 2.234 * [taylor]: Taking taylor expansion of x.im in x.im 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 1 into 1 2.234 * [backup-simplify]: Simplify (* y.im 0) into 0 2.235 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 2.235 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 2.235 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 2.235 * [taylor]: Taking taylor expansion of y.im in y.im 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 1 into 1 2.235 * [backup-simplify]: Simplify (/ 1 1) into 1 2.235 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.236 * [taylor]: Taking taylor expansion of 0 in x.im 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [taylor]: Taking taylor expansion of 0 in y.im 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [taylor]: Taking taylor expansion of 0 in y.im 2.236 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.237 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 2.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.237 * [backup-simplify]: Simplify (+ 0 0) into 0 2.237 * [taylor]: Taking taylor expansion of 0 in y.re 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [taylor]: Taking taylor expansion of 0 in x.im 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 2.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 2.237 * [taylor]: Taking taylor expansion of 0 in x.im 2.237 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.238 * [taylor]: Taking taylor expansion of 0 in x.im 2.238 * [backup-simplify]: Simplify 0 into 0 2.238 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 2.239 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 2.239 * [taylor]: Taking taylor expansion of 0 in y.im 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [taylor]: Taking taylor expansion of 0 in y.im 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [taylor]: Taking taylor expansion of 0 in y.im 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [taylor]: Taking taylor expansion of 0 in y.im 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 2.240 * [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 2.241 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 2.241 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 2.241 * [backup-simplify]: Simplify (+ 0 0) into 0 2.241 * [taylor]: Taking taylor expansion of 0 in y.re 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [taylor]: Taking taylor expansion of 0 in x.im 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [taylor]: Taking taylor expansion of 0 in x.im 2.241 * [backup-simplify]: Simplify 0 into 0 2.242 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 2.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 2.242 * [taylor]: Taking taylor expansion of 0 in x.im 2.242 * [backup-simplify]: Simplify 0 into 0 2.245 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.245 * [taylor]: Taking taylor expansion of 0 in x.im 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [taylor]: Taking taylor expansion of 0 in y.im 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [taylor]: Taking taylor expansion of 0 in y.im 2.245 * [backup-simplify]: Simplify 0 into 0 2.245 * [taylor]: Taking taylor expansion of 0 in y.im 2.245 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.246 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 2.246 * [taylor]: Taking taylor expansion of 0 in y.im 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [taylor]: Taking taylor expansion of 0 in y.im 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [taylor]: Taking taylor expansion of 0 in y.im 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [taylor]: Taking taylor expansion of 0 in y.im 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [backup-simplify]: Simplify 0 into 0 2.246 * [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)) 2.247 * * * [progress]: simplifying candidates 2.248 * [simplify]: Simplifying: (- (* (log (+ (* x.re y.re) (* x.im y.im))) 1) (log (+ (* y.re y.re) (* y.im y.im)))) (- (* (log (+ (* x.re y.re) (* x.im y.im))) 1) (log (+ (* y.re y.re) (* y.im y.im)))) (- (log (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (log (+ (* y.re y.re) (* y.im y.im)))) (log (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im)))) (exp (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im)))) (/ (* (* (pow (+ (* x.re y.re) (* x.im y.im)) 1) (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (* (* (+ (* 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 (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im)))) (* (* (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im)))) (- (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (- (+ (* y.re y.re) (* y.im y.im))) (/ (pow (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) 1) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (pow (cbrt (+ (* x.re y.re) (* x.im y.im))) 1) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) 1) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (cbrt (+ (* x.re y.re) (* x.im y.im))) 1) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) 1) 1) (/ (pow (cbrt (+ (* x.re y.re) (* x.im y.im))) 1) (+ (* y.re y.re) (* y.im y.im))) (/ (pow (sqrt (+ (* x.re y.re) (* x.im y.im))) 1) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (pow (sqrt (+ (* x.re y.re) (* x.im y.im))) 1) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (sqrt (+ (* x.re y.re) (* x.im y.im))) 1) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (sqrt (+ (* x.re y.re) (* x.im y.im))) 1) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (sqrt (+ (* x.re y.re) (* x.im y.im))) 1) 1) (/ (pow (sqrt (+ (* x.re y.re) (* x.im y.im))) 1) (+ (* y.re y.re) (* y.im y.im))) (/ (pow 1 1) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow 1 1) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow 1 1) 1) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im))) (/ (* (cbrt (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (cbrt (pow (+ (* x.re y.re) (* x.im y.im)) 1))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (cbrt (pow (+ (* x.re y.re) (* x.im y.im)) 1))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (cbrt (pow (+ (* x.re y.re) (* x.im y.im)) 1))) 1) (/ (cbrt (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (pow (+ (* x.re y.re) (* x.im y.im)) 1)) 1) (/ (sqrt (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (+ (* 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))))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 1) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (* y.re y.re) (* y.im y.im))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) (/ 1 2)) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) (/ 1 2)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) (/ 1 2)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) (/ 1 2)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) (/ 1 2)) 1) (/ (pow (+ (* x.re y.re) (* x.im y.im)) (/ 1 2)) (+ (* 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)) (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) 1) (/ (+ (* y.re y.re) (* y.im y.im)) (pow (cbrt (+ (* x.re y.re) (* x.im y.im))) 1)) (/ (+ (* y.re y.re) (* y.im y.im)) (pow (sqrt (+ (* x.re y.re) (* x.im y.im))) 1)) (/ (+ (* y.re y.re) (* y.im y.im)) (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (pow (+ (* x.re y.re) (* x.im y.im)) 1))) (/ (+ (* y.re y.re) (* y.im y.im)) (sqrt (pow (+ (* x.re y.re) (* x.im y.im)) 1))) (/ (+ (* y.re y.re) (* y.im y.im)) (pow (+ (* x.re y.re) (* x.im y.im)) 1)) (/ (+ (* y.re y.re) (* y.im y.im)) (pow (+ (* x.re y.re) (* x.im y.im)) (/ 1 2))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (+ (pow (* y.re y.re) 3) (pow (* y.im y.im) 3))) (/ (pow (+ (* x.re y.re) (* x.im y.im)) 1) (- (* (* y.re y.re) (* y.re y.re)) (* (* y.im y.im) (* 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)) 0 0 0 0 (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re x.re) (* y.im x.im)) 2.249 * * [simplify]: Extracting # 0 : cost 0 2.250 * * [simplify]: Extracting # 1 : cost 0 2.250 * * [simplify]: Extracting # 2 : cost 0 2.250 * * [simplify]: Extracting # 3 : cost 0 2.250 * * [simplify]: Extracting # 4 : cost 0 2.250 * * [simplify]: Extracting # 5 : cost 0 2.250 * * [simplify]: Extracting # 6 : cost 0 2.250 * * [simplify]: iteration 0 : 122 enodes (cost 1541 ) 2.279 * * [simplify]: Extracting # 0 : cost 0 2.280 * * [simplify]: Extracting # 1 : cost 0 2.280 * * [simplify]: Extracting # 2 : cost 0 2.280 * * [simplify]: Extracting # 3 : cost 0 2.281 * * [simplify]: Extracting # 4 : cost 0 2.281 * * [simplify]: iteration 1 : 275 enodes (cost 1361 ) 2.372 * * [simplify]: Extracting # 0 : cost 0 2.373 * * [simplify]: Extracting # 1 : cost 0 2.374 * * [simplify]: Extracting # 2 : cost 0 2.375 * * [simplify]: Extracting # 3 : cost 0 2.376 * * [simplify]: Extracting # 4 : cost 0 2.377 * * [simplify]: iteration 2 : 893 enodes (cost 1235 ) 2.931 * * [simplify]: Extracting # 0 : cost 0 2.939 * * [simplify]: Extracting # 1 : cost 0 2.943 * * [simplify]: Extracting # 2 : cost 0 2.947 * * [simplify]: Extracting # 3 : cost 0 2.950 * * [simplify]: Extracting # 4 : cost 0 2.954 * * [simplify]: Extracting # 5 : cost 0 2.957 * * [simplify]: iteration 3 : 3472 enodes (cost 1231 ) 4.237 * * [simplify]: Extracting # 0 : cost 0 4.243 * * [simplify]: Extracting # 1 : cost 0 4.248 * * [simplify]: Extracting # 2 : cost 0 4.258 * * [simplify]: Extracting # 3 : cost 0 4.268 * * [simplify]: Extracting # 4 : cost 0 4.278 * * [simplify]: iteration done: 5001 enodes (cost 1231 ) 4.279 * [simplify]: Simplified to: (log (/ (+ (* x.re y.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im)))) (log (/ (+ (* x.re y.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im)))) (log (/ (+ (* x.re y.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im)))) (log (/ (+ (* x.re y.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im)))) (exp (/ (+ (* x.re y.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im)))) (pow (/ (+ (* x.re y.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) 3) (* (cbrt (/ (+ (* x.re y.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im)))) (cbrt (/ (+ (* x.re y.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))))) (cbrt (/ (+ (* x.re y.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im)))) (pow (/ (+ (* x.re y.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) 3) (sqrt (/ (+ (* x.re y.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im)))) (sqrt (/ (+ (* x.re y.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im)))) (- (+ (* y.re x.re) (* y.im x.im))) (- (+ (* y.re y.re) (* y.im y.im))) (/ (pow (cbrt (+ (* x.re y.re) (* y.im x.im))) 2) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* y.im x.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (cbrt (+ (* x.re y.re) (* y.im x.im))) 2) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (+ (* x.re y.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (cbrt (+ (* x.re y.re) (* y.im x.im))) 2) (/ (cbrt (+ (* x.re y.re) (* y.im x.im))) (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* y.im x.im)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1 (/ (+ (* x.re y.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) (/ (pow (cbrt (+ (* x.re y.re) (* y.im x.im))) 2) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* x.re y.re) (* y.im x.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (pow (cbrt (+ (* x.re y.re) (* y.im x.im))) 2) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (+ (* x.re y.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (cbrt (+ (* x.re y.re) (* y.im x.im))) 2) (/ (cbrt (+ (* x.re y.re) (* y.im x.im))) (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* x.re y.re) (* y.im x.im)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1 (/ (+ (* x.re y.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (/ (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))) (/ (+ (* x.re y.re) (* y.im x.im)) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (+ (* x.re y.re) (* x.im y.im)) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* y.im x.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)) (+ (* y.re x.re) (* y.im x.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (cbrt (+ (* x.re y.re) (* y.im x.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)) (+ (* y.re x.re) (* y.im x.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (sqrt (+ (* x.re y.re) (* x.im y.im)))) (/ (+ (* x.re y.re) (* x.im y.im)) (+ (pow y.re 6) (pow y.im 6))) (/ (+ (* x.re y.re) (* x.im y.im)) (- (pow y.re 4) (pow y.im 4))) (exp (+ (* x.re y.re) (* x.im y.im))) (log (+ (* x.re y.re) (* x.im y.im))) (exp (+ (* x.re y.re) (* x.im y.im))) (pow (cbrt (+ (* x.re y.re) (* y.im x.im))) 2) (cbrt (+ (* x.re y.re) (* x.im y.im))) (pow (+ (* x.re y.re) (* x.im y.im)) 3) (sqrt (+ (* x.re y.re) (* x.im y.im))) (sqrt (+ (* x.re y.re) (* x.im y.im))) (+ (pow (* x.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.re y.re) (* x.re y.re)) (* (* x.im y.im) (* x.im y.im))) (- (* x.re y.re) (* x.im y.im)) 0 0 0 0 (+ (* x.re y.re) (* x.im y.im)) (+ (* x.re y.re) (* x.im y.im)) 4.281 * * * [progress]: adding candidates to table 4.492 * * [progress]: iteration 3 / 4 4.493 * * * [progress]: picking best candidate 4.515 * * * * [pick]: Picked # 4.515 * * * [progress]: localizing error 4.538 * * * [progress]: generating rewritten candidates 4.538 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2) 4.583 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 2) 4.597 * * * * [progress]: [ 3 / 3 ] rewriting at (2) 4.665 * * * [progress]: generating series expansions 4.665 * * * * [progress]: [ 1 / 3 ] generating series at (2 2) 4.666 * [backup-simplify]: Simplify (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))) into (/ (+ (pow y.im 2) (pow y.re 2)) (+ (* y.re x.re) (* y.im x.im))) 4.666 * [approximate]: Taking taylor expansion of (/ (+ (pow y.im 2) (pow y.re 2)) (+ (* y.re x.re) (* y.im x.im))) in (y.re y.im x.re x.im) around 0 4.666 * [taylor]: Taking taylor expansion of (/ (+ (pow y.im 2) (pow y.re 2)) (+ (* y.re x.re) (* y.im x.im))) in x.im 4.666 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.im 4.666 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 4.666 * [taylor]: Taking taylor expansion of y.im in x.im 4.666 * [backup-simplify]: Simplify y.im into y.im 4.666 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 4.666 * [taylor]: Taking taylor expansion of y.re in x.im 4.666 * [backup-simplify]: Simplify y.re into y.re 4.666 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 4.666 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.666 * [taylor]: Taking taylor expansion of y.re in x.im 4.666 * [backup-simplify]: Simplify y.re into y.re 4.666 * [taylor]: Taking taylor expansion of x.re in x.im 4.666 * [backup-simplify]: Simplify x.re into x.re 4.666 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.666 * [taylor]: Taking taylor expansion of y.im in x.im 4.666 * [backup-simplify]: Simplify y.im into y.im 4.666 * [taylor]: Taking taylor expansion of x.im in x.im 4.666 * [backup-simplify]: Simplify 0 into 0 4.666 * [backup-simplify]: Simplify 1 into 1 4.666 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.666 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.666 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 4.666 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.667 * [backup-simplify]: Simplify (* y.im 0) into 0 4.667 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 4.667 * [backup-simplify]: Simplify (/ (+ (pow y.re 2) (pow y.im 2)) (* y.re x.re)) into (/ (+ (pow y.im 2) (pow y.re 2)) (* y.re x.re)) 4.667 * [taylor]: Taking taylor expansion of (/ (+ (pow y.im 2) (pow y.re 2)) (+ (* y.re x.re) (* y.im x.im))) in x.re 4.667 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 4.667 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 4.667 * [taylor]: Taking taylor expansion of y.im in x.re 4.667 * [backup-simplify]: Simplify y.im into y.im 4.667 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 4.667 * [taylor]: Taking taylor expansion of y.re in x.re 4.667 * [backup-simplify]: Simplify y.re into y.re 4.667 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 4.667 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.667 * [taylor]: Taking taylor expansion of y.re in x.re 4.667 * [backup-simplify]: Simplify y.re into y.re 4.667 * [taylor]: Taking taylor expansion of x.re in x.re 4.667 * [backup-simplify]: Simplify 0 into 0 4.667 * [backup-simplify]: Simplify 1 into 1 4.667 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.667 * [taylor]: Taking taylor expansion of y.im in x.re 4.667 * [backup-simplify]: Simplify y.im into y.im 4.667 * [taylor]: Taking taylor expansion of x.im in x.re 4.667 * [backup-simplify]: Simplify x.im into x.im 4.667 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.667 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.667 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 4.667 * [backup-simplify]: Simplify (* y.re 0) into 0 4.667 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.667 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 4.668 * [backup-simplify]: Simplify (/ (+ (pow y.re 2) (pow y.im 2)) (* y.im x.im)) into (/ (+ (pow y.im 2) (pow y.re 2)) (* y.im x.im)) 4.668 * [taylor]: Taking taylor expansion of (/ (+ (pow y.im 2) (pow y.re 2)) (+ (* y.re x.re) (* y.im x.im))) in y.im 4.668 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 4.668 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.668 * [taylor]: Taking taylor expansion of y.im in y.im 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.668 * [taylor]: Taking taylor expansion of y.re in y.im 4.668 * [backup-simplify]: Simplify y.re into y.re 4.668 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 4.668 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.668 * [taylor]: Taking taylor expansion of y.re in y.im 4.668 * [backup-simplify]: Simplify y.re into y.re 4.668 * [taylor]: Taking taylor expansion of x.re in y.im 4.668 * [backup-simplify]: Simplify x.re into x.re 4.668 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.668 * [taylor]: Taking taylor expansion of y.im in y.im 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [taylor]: Taking taylor expansion of x.im in y.im 4.668 * [backup-simplify]: Simplify x.im into x.im 4.668 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.668 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 4.668 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.668 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.668 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 4.668 * [backup-simplify]: Simplify (/ (pow y.re 2) (* y.re x.re)) into (/ y.re x.re) 4.668 * [taylor]: Taking taylor expansion of (/ (+ (pow y.im 2) (pow y.re 2)) (+ (* y.re x.re) (* y.im x.im))) in y.re 4.668 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 4.668 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.668 * [taylor]: Taking taylor expansion of y.im in y.re 4.668 * [backup-simplify]: Simplify y.im into y.im 4.668 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.668 * [taylor]: Taking taylor expansion of y.re in y.re 4.668 * [backup-simplify]: Simplify 0 into 0 4.668 * [backup-simplify]: Simplify 1 into 1 4.668 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 4.669 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.669 * [taylor]: Taking taylor expansion of y.re in y.re 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.669 * [taylor]: Taking taylor expansion of x.re in y.re 4.669 * [backup-simplify]: Simplify x.re into x.re 4.669 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.669 * [taylor]: Taking taylor expansion of y.im in y.re 4.669 * [backup-simplify]: Simplify y.im into y.im 4.669 * [taylor]: Taking taylor expansion of x.im in y.re 4.669 * [backup-simplify]: Simplify x.im into x.im 4.669 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.669 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 4.669 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.669 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.669 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 4.669 * [backup-simplify]: Simplify (/ (pow y.im 2) (* y.im x.im)) into (/ y.im x.im) 4.669 * [taylor]: Taking taylor expansion of (/ (+ (pow y.im 2) (pow y.re 2)) (+ (* y.re x.re) (* y.im x.im))) in y.re 4.669 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 4.669 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.669 * [taylor]: Taking taylor expansion of y.im in y.re 4.669 * [backup-simplify]: Simplify y.im into y.im 4.669 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.669 * [taylor]: Taking taylor expansion of y.re in y.re 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.669 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 4.669 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.669 * [taylor]: Taking taylor expansion of y.re in y.re 4.669 * [backup-simplify]: Simplify 0 into 0 4.669 * [backup-simplify]: Simplify 1 into 1 4.669 * [taylor]: Taking taylor expansion of x.re in y.re 4.669 * [backup-simplify]: Simplify x.re into x.re 4.669 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.669 * [taylor]: Taking taylor expansion of y.im in y.re 4.669 * [backup-simplify]: Simplify y.im into y.im 4.669 * [taylor]: Taking taylor expansion of x.im in y.re 4.669 * [backup-simplify]: Simplify x.im into x.im 4.669 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.669 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 4.670 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.670 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.670 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 4.670 * [backup-simplify]: Simplify (/ (pow y.im 2) (* y.im x.im)) into (/ y.im x.im) 4.670 * [taylor]: Taking taylor expansion of (/ y.im x.im) in y.im 4.670 * [taylor]: Taking taylor expansion of y.im in y.im 4.670 * [backup-simplify]: Simplify 0 into 0 4.670 * [backup-simplify]: Simplify 1 into 1 4.670 * [taylor]: Taking taylor expansion of x.im in y.im 4.670 * [backup-simplify]: Simplify x.im into x.im 4.670 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.670 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.671 * [backup-simplify]: Simplify (+ 0 0) into 0 4.671 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.671 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.671 * [backup-simplify]: Simplify (+ x.re 0) into x.re 4.671 * [backup-simplify]: Simplify (- (/ 0 (* y.im x.im)) (+ (* (/ y.im x.im) (/ x.re (* y.im x.im))))) into (- (/ x.re (pow x.im 2))) 4.671 * [taylor]: Taking taylor expansion of (- (/ x.re (pow x.im 2))) in y.im 4.671 * [taylor]: Taking taylor expansion of (/ x.re (pow x.im 2)) in y.im 4.671 * [taylor]: Taking taylor expansion of x.re in y.im 4.671 * [backup-simplify]: Simplify x.re into x.re 4.671 * [taylor]: Taking taylor expansion of (pow x.im 2) in y.im 4.671 * [taylor]: Taking taylor expansion of x.im in y.im 4.671 * [backup-simplify]: Simplify x.im into x.im 4.671 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2) 4.671 * [backup-simplify]: Simplify (/ x.re (pow x.im 2)) into (/ x.re (pow x.im 2)) 4.672 * [backup-simplify]: Simplify (- (/ x.re (pow x.im 2))) into (- (/ x.re (pow x.im 2))) 4.672 * [taylor]: Taking taylor expansion of (- (/ x.re (pow x.im 2))) in x.re 4.672 * [taylor]: Taking taylor expansion of (/ x.re (pow x.im 2)) in x.re 4.672 * [taylor]: Taking taylor expansion of x.re in x.re 4.672 * [backup-simplify]: Simplify 0 into 0 4.672 * [backup-simplify]: Simplify 1 into 1 4.672 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.re 4.672 * [taylor]: Taking taylor expansion of x.im in x.re 4.672 * [backup-simplify]: Simplify x.im into x.im 4.672 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2) 4.672 * [backup-simplify]: Simplify (/ 1 (pow x.im 2)) into (/ 1 (pow x.im 2)) 4.672 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.re 4.672 * [taylor]: Taking taylor expansion of x.im in x.re 4.672 * [backup-simplify]: Simplify x.im into x.im 4.672 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.672 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 4.672 * [taylor]: Taking taylor expansion of x.im in x.im 4.672 * [backup-simplify]: Simplify 0 into 0 4.672 * [backup-simplify]: Simplify 1 into 1 4.672 * [backup-simplify]: Simplify (/ 1 1) into 1 4.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.673 * [backup-simplify]: Simplify 0 into 0 4.673 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 4.673 * [backup-simplify]: Simplify (* 1 1) into 1 4.674 * [backup-simplify]: Simplify (+ 0 1) into 1 4.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 4.674 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.675 * [backup-simplify]: Simplify (+ 0 0) into 0 4.675 * [backup-simplify]: Simplify (- (/ 1 (* y.im x.im)) (+ (* (/ y.im x.im) (/ 0 (* y.im x.im))) (* (- (/ x.re (pow x.im 2))) (/ x.re (* y.im x.im))))) into (+ (/ (pow x.re 2) (* y.im (pow x.im 3))) (/ 1 (* y.im x.im))) 4.675 * [taylor]: Taking taylor expansion of (+ (/ (pow x.re 2) (* y.im (pow x.im 3))) (/ 1 (* y.im x.im))) in y.im 4.675 * [taylor]: Taking taylor expansion of (/ (pow x.re 2) (* y.im (pow x.im 3))) in y.im 4.675 * [taylor]: Taking taylor expansion of (pow x.re 2) in y.im 4.675 * [taylor]: Taking taylor expansion of x.re in y.im 4.675 * [backup-simplify]: Simplify x.re into x.re 4.675 * [taylor]: Taking taylor expansion of (* y.im (pow x.im 3)) in y.im 4.675 * [taylor]: Taking taylor expansion of y.im in y.im 4.675 * [backup-simplify]: Simplify 0 into 0 4.675 * [backup-simplify]: Simplify 1 into 1 4.675 * [taylor]: Taking taylor expansion of (pow x.im 3) in y.im 4.675 * [taylor]: Taking taylor expansion of x.im in y.im 4.675 * [backup-simplify]: Simplify x.im into x.im 4.675 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 4.675 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2) 4.675 * [backup-simplify]: Simplify (* x.im (pow x.im 2)) into (pow x.im 3) 4.675 * [backup-simplify]: Simplify (* 0 (pow x.im 3)) into 0 4.676 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0 4.676 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 (pow x.im 2))) into 0 4.676 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 (pow x.im 3))) into (pow x.im 3) 4.676 * [backup-simplify]: Simplify (/ (pow x.re 2) (pow x.im 3)) into (/ (pow x.re 2) (pow x.im 3)) 4.676 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.676 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.676 * [taylor]: Taking taylor expansion of y.im in y.im 4.676 * [backup-simplify]: Simplify 0 into 0 4.676 * [backup-simplify]: Simplify 1 into 1 4.676 * [taylor]: Taking taylor expansion of x.im in y.im 4.676 * [backup-simplify]: Simplify x.im into x.im 4.677 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.677 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.677 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.677 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 4.677 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.678 * [backup-simplify]: Simplify (+ (* x.im 0) (+ (* 0 0) (* 0 (pow x.im 2)))) into 0 4.678 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 (pow x.im 3)))) into 0 4.678 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 3)) (+ (* (/ (pow x.re 2) (pow x.im 3)) (/ 0 (pow x.im 3))))) into 0 4.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0 4.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 4.679 * [backup-simplify]: Simplify (+ 0 0) into 0 4.679 * [taylor]: Taking taylor expansion of 0 in x.re 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [taylor]: Taking taylor expansion of 0 in x.im 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify 0 into 0 4.679 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0 4.680 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ x.re (pow x.im 2)) (/ 0 (pow x.im 2))))) into 0 4.680 * [backup-simplify]: Simplify (- 0) into 0 4.680 * [taylor]: Taking taylor expansion of 0 in x.re 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [taylor]: Taking taylor expansion of 0 in x.im 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify (- (/ 0 x.im) (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 4.680 * [taylor]: Taking taylor expansion of 0 in x.re 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [taylor]: Taking taylor expansion of 0 in x.im 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify (- (/ 1 (pow x.im 2))) into (- (/ 1 (pow x.im 2))) 4.680 * [taylor]: Taking taylor expansion of (- (/ 1 (pow x.im 2))) in x.im 4.680 * [taylor]: Taking taylor expansion of (/ 1 (pow x.im 2)) in x.im 4.680 * [taylor]: Taking taylor expansion of (pow x.im 2) in x.im 4.680 * [taylor]: Taking taylor expansion of x.im in x.im 4.680 * [backup-simplify]: Simplify 0 into 0 4.680 * [backup-simplify]: Simplify 1 into 1 4.681 * [backup-simplify]: Simplify (* 1 1) into 1 4.681 * [backup-simplify]: Simplify (/ 1 1) into 1 4.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.684 * [backup-simplify]: Simplify (- 0) into 0 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 4.684 * [taylor]: Taking taylor expansion of 0 in x.im 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 0 into 0 4.684 * [backup-simplify]: Simplify 0 into 0 4.685 * [backup-simplify]: Simplify (/ (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) (+ (* (/ 1 y.re) (/ 1 x.re)) (* (/ 1 y.im) (/ 1 x.im)))) into (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) 4.685 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in (y.re y.im x.re x.im) around 0 4.685 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.im 4.685 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 4.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 4.685 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 4.685 * [taylor]: Taking taylor expansion of y.im in x.im 4.685 * [backup-simplify]: Simplify y.im into y.im 4.685 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.685 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.685 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 4.685 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 4.685 * [taylor]: Taking taylor expansion of y.re in x.im 4.685 * [backup-simplify]: Simplify y.re into y.re 4.686 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.686 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.686 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 4.686 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 4.686 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.686 * [taylor]: Taking taylor expansion of y.im in x.im 4.686 * [backup-simplify]: Simplify y.im into y.im 4.686 * [taylor]: Taking taylor expansion of x.im in x.im 4.686 * [backup-simplify]: Simplify 0 into 0 4.686 * [backup-simplify]: Simplify 1 into 1 4.686 * [backup-simplify]: Simplify (* y.im 0) into 0 4.686 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 4.686 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 4.686 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 4.686 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.686 * [taylor]: Taking taylor expansion of y.re in x.im 4.687 * [backup-simplify]: Simplify y.re into y.re 4.687 * [taylor]: Taking taylor expansion of x.re in x.im 4.687 * [backup-simplify]: Simplify x.re into x.re 4.687 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.687 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.687 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 4.687 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 4.687 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (/ 1 y.im)) into (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.im) 4.688 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.re 4.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 4.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 4.688 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 4.688 * [taylor]: Taking taylor expansion of y.im in x.re 4.688 * [backup-simplify]: Simplify y.im into y.im 4.688 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.688 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.688 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 4.688 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 4.688 * [taylor]: Taking taylor expansion of y.re in x.re 4.688 * [backup-simplify]: Simplify y.re into y.re 4.688 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.688 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.688 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 4.688 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 4.688 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.688 * [taylor]: Taking taylor expansion of y.im in x.re 4.688 * [backup-simplify]: Simplify y.im into y.im 4.688 * [taylor]: Taking taylor expansion of x.im in x.re 4.688 * [backup-simplify]: Simplify x.im into x.im 4.688 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.689 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.689 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 4.689 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.689 * [taylor]: Taking taylor expansion of y.re in x.re 4.689 * [backup-simplify]: Simplify y.re into y.re 4.689 * [taylor]: Taking taylor expansion of x.re in x.re 4.689 * [backup-simplify]: Simplify 0 into 0 4.689 * [backup-simplify]: Simplify 1 into 1 4.689 * [backup-simplify]: Simplify (* y.re 0) into 0 4.689 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 4.689 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 4.690 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 4.690 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 4.690 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (/ 1 y.re)) into (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re) 4.690 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.im 4.690 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 4.690 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 4.690 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.690 * [taylor]: Taking taylor expansion of y.im in y.im 4.690 * [backup-simplify]: Simplify 0 into 0 4.690 * [backup-simplify]: Simplify 1 into 1 4.691 * [backup-simplify]: Simplify (* 1 1) into 1 4.691 * [backup-simplify]: Simplify (/ 1 1) into 1 4.691 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 4.691 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.691 * [taylor]: Taking taylor expansion of y.re in y.im 4.691 * [backup-simplify]: Simplify y.re into y.re 4.691 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.692 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 4.692 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.692 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.692 * [taylor]: Taking taylor expansion of y.im in y.im 4.692 * [backup-simplify]: Simplify 0 into 0 4.692 * [backup-simplify]: Simplify 1 into 1 4.692 * [taylor]: Taking taylor expansion of x.im in y.im 4.692 * [backup-simplify]: Simplify x.im into x.im 4.692 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.692 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.692 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.692 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 4.692 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.692 * [taylor]: Taking taylor expansion of y.re in y.im 4.692 * [backup-simplify]: Simplify y.re into y.re 4.692 * [taylor]: Taking taylor expansion of x.re in y.im 4.693 * [backup-simplify]: Simplify x.re into x.re 4.693 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.693 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.693 * [backup-simplify]: Simplify (+ 1 0) into 1 4.693 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 4.693 * [backup-simplify]: Simplify (/ 1 (/ 1 x.im)) into x.im 4.693 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re 4.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.694 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.694 * [taylor]: Taking taylor expansion of y.im in y.re 4.694 * [backup-simplify]: Simplify y.im into y.im 4.694 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.694 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.694 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.694 * [taylor]: Taking taylor expansion of y.re in y.re 4.694 * [backup-simplify]: Simplify 0 into 0 4.694 * [backup-simplify]: Simplify 1 into 1 4.694 * [backup-simplify]: Simplify (* 1 1) into 1 4.695 * [backup-simplify]: Simplify (/ 1 1) into 1 4.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.695 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.695 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.695 * [taylor]: Taking taylor expansion of y.im in y.re 4.695 * [backup-simplify]: Simplify y.im into y.im 4.695 * [taylor]: Taking taylor expansion of x.im in y.re 4.695 * [backup-simplify]: Simplify x.im into x.im 4.695 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.695 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.695 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.695 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.695 * [taylor]: Taking taylor expansion of y.re in y.re 4.695 * [backup-simplify]: Simplify 0 into 0 4.695 * [backup-simplify]: Simplify 1 into 1 4.695 * [taylor]: Taking taylor expansion of x.re in y.re 4.695 * [backup-simplify]: Simplify x.re into x.re 4.695 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.696 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.696 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.696 * [backup-simplify]: Simplify (+ 0 1) into 1 4.697 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 4.697 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re 4.697 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re 4.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.697 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.697 * [taylor]: Taking taylor expansion of y.im in y.re 4.697 * [backup-simplify]: Simplify y.im into y.im 4.697 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.697 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.697 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.697 * [taylor]: Taking taylor expansion of y.re in y.re 4.697 * [backup-simplify]: Simplify 0 into 0 4.697 * [backup-simplify]: Simplify 1 into 1 4.697 * [backup-simplify]: Simplify (* 1 1) into 1 4.698 * [backup-simplify]: Simplify (/ 1 1) into 1 4.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.698 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.698 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.698 * [taylor]: Taking taylor expansion of y.im in y.re 4.698 * [backup-simplify]: Simplify y.im into y.im 4.698 * [taylor]: Taking taylor expansion of x.im in y.re 4.698 * [backup-simplify]: Simplify x.im into x.im 4.698 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.698 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.698 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.698 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.698 * [taylor]: Taking taylor expansion of y.re in y.re 4.698 * [backup-simplify]: Simplify 0 into 0 4.698 * [backup-simplify]: Simplify 1 into 1 4.698 * [taylor]: Taking taylor expansion of x.re in y.re 4.698 * [backup-simplify]: Simplify x.re into x.re 4.698 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.698 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.698 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.699 * [backup-simplify]: Simplify (+ 0 1) into 1 4.699 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 4.699 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re 4.699 * [taylor]: Taking taylor expansion of x.re in y.im 4.699 * [backup-simplify]: Simplify x.re into x.re 4.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.700 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.700 * [backup-simplify]: Simplify (+ 0 0) into 0 4.700 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 4.701 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.701 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 4.701 * [backup-simplify]: Simplify (- (/ 0 (/ 1 x.re)) (+ (* x.re (/ (/ 1 (* y.im x.im)) (/ 1 x.re))))) into (- (/ (pow x.re 2) (* y.im x.im))) 4.701 * [taylor]: Taking taylor expansion of (- (/ (pow x.re 2) (* y.im x.im))) in y.im 4.701 * [taylor]: Taking taylor expansion of (/ (pow x.re 2) (* y.im x.im)) in y.im 4.701 * [taylor]: Taking taylor expansion of (pow x.re 2) in y.im 4.701 * [taylor]: Taking taylor expansion of x.re in y.im 4.701 * [backup-simplify]: Simplify x.re into x.re 4.701 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.701 * [taylor]: Taking taylor expansion of y.im in y.im 4.701 * [backup-simplify]: Simplify 0 into 0 4.701 * [backup-simplify]: Simplify 1 into 1 4.701 * [taylor]: Taking taylor expansion of x.im in y.im 4.701 * [backup-simplify]: Simplify x.im into x.im 4.701 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 4.701 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.701 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.701 * [backup-simplify]: Simplify (/ (pow x.re 2) x.im) into (/ (pow x.re 2) x.im) 4.702 * [backup-simplify]: Simplify (- (/ (pow x.re 2) x.im)) into (- (/ (pow x.re 2) x.im)) 4.702 * [taylor]: Taking taylor expansion of (- (/ (pow x.re 2) x.im)) in x.re 4.702 * [taylor]: Taking taylor expansion of (/ (pow x.re 2) x.im) in x.re 4.702 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 4.702 * [taylor]: Taking taylor expansion of x.re in x.re 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 1 into 1 4.702 * [taylor]: Taking taylor expansion of x.im in x.re 4.702 * [backup-simplify]: Simplify x.im into x.im 4.702 * [backup-simplify]: Simplify (* 1 1) into 1 4.702 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.702 * [taylor]: Taking taylor expansion of x.re in x.re 4.702 * [backup-simplify]: Simplify 0 into 0 4.702 * [backup-simplify]: Simplify 1 into 1 4.702 * [taylor]: Taking taylor expansion of 1 in x.im 4.702 * [backup-simplify]: Simplify 1 into 1 4.702 * [backup-simplify]: Simplify 0 into 0 4.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.703 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 4.703 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 4.704 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.704 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.705 * [backup-simplify]: Simplify (+ 0 0) into 0 4.705 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y.im 2)) (/ 1 x.re)) (+ (* x.re (/ 0 (/ 1 x.re))) (* (- (/ (pow x.re 2) (* y.im x.im))) (/ (/ 1 (* y.im x.im)) (/ 1 x.re))))) into (+ (/ x.re (pow y.im 2)) (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2)))) 4.705 * [taylor]: Taking taylor expansion of (+ (/ x.re (pow y.im 2)) (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2)))) in y.im 4.705 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 2)) in y.im 4.705 * [taylor]: Taking taylor expansion of x.re in y.im 4.705 * [backup-simplify]: Simplify x.re into x.re 4.705 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.705 * [taylor]: Taking taylor expansion of y.im in y.im 4.705 * [backup-simplify]: Simplify 0 into 0 4.705 * [backup-simplify]: Simplify 1 into 1 4.705 * [backup-simplify]: Simplify (* 1 1) into 1 4.706 * [backup-simplify]: Simplify (/ x.re 1) into x.re 4.706 * [taylor]: Taking taylor expansion of (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) in y.im 4.706 * [taylor]: Taking taylor expansion of (pow x.re 3) in y.im 4.706 * [taylor]: Taking taylor expansion of x.re in y.im 4.706 * [backup-simplify]: Simplify x.re into x.re 4.706 * [taylor]: Taking taylor expansion of (* (pow y.im 2) (pow x.im 2)) in y.im 4.706 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.706 * [taylor]: Taking taylor expansion of y.im in y.im 4.706 * [backup-simplify]: Simplify 0 into 0 4.706 * [backup-simplify]: Simplify 1 into 1 4.706 * [taylor]: Taking taylor expansion of (pow x.im 2) in y.im 4.706 * [taylor]: Taking taylor expansion of x.im in y.im 4.706 * [backup-simplify]: Simplify x.im into x.im 4.706 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 4.706 * [backup-simplify]: Simplify (* x.re (pow x.re 2)) into (pow x.re 3) 4.706 * [backup-simplify]: Simplify (* 1 1) into 1 4.706 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2) 4.706 * [backup-simplify]: Simplify (* 1 (pow x.im 2)) into (pow x.im 2) 4.707 * [backup-simplify]: Simplify (/ (pow x.re 3) (pow x.im 2)) into (/ (pow x.re 3) (pow x.im 2)) 4.707 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0 4.708 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 4.708 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 (pow x.re 2))) into 0 4.708 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0 4.708 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.709 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow x.im 2))) into 0 4.709 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ (pow x.re 3) (pow x.im 2)) (/ 0 (pow x.im 2))))) into 0 4.709 * [backup-simplify]: Simplify (+ 0 0) into 0 4.709 * [taylor]: Taking taylor expansion of 0 in x.re 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [taylor]: Taking taylor expansion of 0 in x.im 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify 0 into 0 4.709 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 4.710 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0 4.710 * [backup-simplify]: Simplify (- (/ 0 x.im) (+ (* (/ (pow x.re 2) x.im) (/ 0 x.im)))) into 0 4.710 * [backup-simplify]: Simplify (- 0) into 0 4.710 * [taylor]: Taking taylor expansion of 0 in x.re 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [taylor]: Taking taylor expansion of 0 in x.im 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [taylor]: Taking taylor expansion of 0 in x.re 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [taylor]: Taking taylor expansion of 0 in x.im 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify 0 into 0 4.710 * [backup-simplify]: Simplify (- (/ 1 x.im)) into (- (/ 1 x.im)) 4.710 * [taylor]: Taking taylor expansion of (- (/ 1 x.im)) in x.im 4.710 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 4.711 * [taylor]: Taking taylor expansion of x.im in x.im 4.711 * [backup-simplify]: Simplify 0 into 0 4.711 * [backup-simplify]: Simplify 1 into 1 4.711 * [backup-simplify]: Simplify (/ 1 1) into 1 4.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.712 * [backup-simplify]: Simplify (- 0) into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [taylor]: Taking taylor expansion of 0 in x.im 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify 0 into 0 4.712 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) (+ (* (/ 1 (- y.re)) (/ 1 (- x.re))) (* (/ 1 (- y.im)) (/ 1 (- x.im))))) into (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) 4.712 * [approximate]: Taking taylor expansion of (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in (y.re y.im x.re x.im) around 0 4.712 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.im 4.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 4.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 4.713 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 4.713 * [taylor]: Taking taylor expansion of y.im in x.im 4.713 * [backup-simplify]: Simplify y.im into y.im 4.713 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.713 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.713 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 4.713 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 4.713 * [taylor]: Taking taylor expansion of y.re in x.im 4.713 * [backup-simplify]: Simplify y.re into y.re 4.713 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.713 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 4.713 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 4.713 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.713 * [taylor]: Taking taylor expansion of y.im in x.im 4.713 * [backup-simplify]: Simplify y.im into y.im 4.713 * [taylor]: Taking taylor expansion of x.im in x.im 4.713 * [backup-simplify]: Simplify 0 into 0 4.713 * [backup-simplify]: Simplify 1 into 1 4.713 * [backup-simplify]: Simplify (* y.im 0) into 0 4.713 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 4.713 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 4.713 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 4.713 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.713 * [taylor]: Taking taylor expansion of y.re in x.im 4.713 * [backup-simplify]: Simplify y.re into y.re 4.714 * [taylor]: Taking taylor expansion of x.re in x.im 4.714 * [backup-simplify]: Simplify x.re into x.re 4.714 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.714 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.714 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 4.714 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 4.714 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (/ 1 y.im)) into (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.im) 4.714 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in x.re 4.714 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 4.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 4.714 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 4.714 * [taylor]: Taking taylor expansion of y.im in x.re 4.714 * [backup-simplify]: Simplify y.im into y.im 4.714 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.714 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.714 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 4.714 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 4.714 * [taylor]: Taking taylor expansion of y.re in x.re 4.714 * [backup-simplify]: Simplify y.re into y.re 4.714 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.714 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 4.715 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 4.715 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.715 * [taylor]: Taking taylor expansion of y.im in x.re 4.715 * [backup-simplify]: Simplify y.im into y.im 4.715 * [taylor]: Taking taylor expansion of x.im in x.re 4.715 * [backup-simplify]: Simplify x.im into x.im 4.715 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.715 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.715 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 4.715 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.715 * [taylor]: Taking taylor expansion of y.re in x.re 4.715 * [backup-simplify]: Simplify y.re into y.re 4.715 * [taylor]: Taking taylor expansion of x.re in x.re 4.715 * [backup-simplify]: Simplify 0 into 0 4.715 * [backup-simplify]: Simplify 1 into 1 4.715 * [backup-simplify]: Simplify (* y.re 0) into 0 4.715 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 4.715 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 4.715 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 4.715 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 4.716 * [backup-simplify]: Simplify (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (/ 1 y.re)) into (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re) 4.716 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.im 4.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 4.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 4.716 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.716 * [taylor]: Taking taylor expansion of y.im in y.im 4.716 * [backup-simplify]: Simplify 0 into 0 4.716 * [backup-simplify]: Simplify 1 into 1 4.716 * [backup-simplify]: Simplify (* 1 1) into 1 4.716 * [backup-simplify]: Simplify (/ 1 1) into 1 4.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 4.716 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.716 * [taylor]: Taking taylor expansion of y.re in y.im 4.716 * [backup-simplify]: Simplify y.re into y.re 4.716 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.716 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 4.716 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.716 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.716 * [taylor]: Taking taylor expansion of y.im in y.im 4.717 * [backup-simplify]: Simplify 0 into 0 4.717 * [backup-simplify]: Simplify 1 into 1 4.717 * [taylor]: Taking taylor expansion of x.im in y.im 4.717 * [backup-simplify]: Simplify x.im into x.im 4.717 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.717 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.717 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.717 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 4.717 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.717 * [taylor]: Taking taylor expansion of y.re in y.im 4.717 * [backup-simplify]: Simplify y.re into y.re 4.717 * [taylor]: Taking taylor expansion of x.re in y.im 4.717 * [backup-simplify]: Simplify x.re into x.re 4.717 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.717 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.717 * [backup-simplify]: Simplify (+ 1 0) into 1 4.717 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 4.717 * [backup-simplify]: Simplify (/ 1 (/ 1 x.im)) into x.im 4.718 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re 4.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.718 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.718 * [taylor]: Taking taylor expansion of y.im in y.re 4.718 * [backup-simplify]: Simplify y.im into y.im 4.718 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.718 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.718 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.718 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.718 * [taylor]: Taking taylor expansion of y.re in y.re 4.718 * [backup-simplify]: Simplify 0 into 0 4.718 * [backup-simplify]: Simplify 1 into 1 4.718 * [backup-simplify]: Simplify (* 1 1) into 1 4.718 * [backup-simplify]: Simplify (/ 1 1) into 1 4.718 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.718 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.718 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.718 * [taylor]: Taking taylor expansion of y.im in y.re 4.718 * [backup-simplify]: Simplify y.im into y.im 4.718 * [taylor]: Taking taylor expansion of x.im in y.re 4.718 * [backup-simplify]: Simplify x.im into x.im 4.718 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.718 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.719 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.719 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.719 * [taylor]: Taking taylor expansion of y.re in y.re 4.719 * [backup-simplify]: Simplify 0 into 0 4.719 * [backup-simplify]: Simplify 1 into 1 4.719 * [taylor]: Taking taylor expansion of x.re in y.re 4.719 * [backup-simplify]: Simplify x.re into x.re 4.719 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.719 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.719 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.719 * [backup-simplify]: Simplify (+ 0 1) into 1 4.719 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 4.719 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re 4.719 * [taylor]: Taking taylor expansion of (/ (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re)))) in y.re 4.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.719 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.719 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.719 * [taylor]: Taking taylor expansion of y.im in y.re 4.719 * [backup-simplify]: Simplify y.im into y.im 4.719 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.720 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.720 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.720 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.720 * [taylor]: Taking taylor expansion of y.re in y.re 4.720 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify 1 into 1 4.720 * [backup-simplify]: Simplify (* 1 1) into 1 4.720 * [backup-simplify]: Simplify (/ 1 1) into 1 4.720 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.720 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.720 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.720 * [taylor]: Taking taylor expansion of y.im in y.re 4.720 * [backup-simplify]: Simplify y.im into y.im 4.720 * [taylor]: Taking taylor expansion of x.im in y.re 4.720 * [backup-simplify]: Simplify x.im into x.im 4.720 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.720 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.720 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.720 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.720 * [taylor]: Taking taylor expansion of y.re in y.re 4.720 * [backup-simplify]: Simplify 0 into 0 4.720 * [backup-simplify]: Simplify 1 into 1 4.720 * [taylor]: Taking taylor expansion of x.re in y.re 4.720 * [backup-simplify]: Simplify x.re into x.re 4.720 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.721 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.721 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.721 * [backup-simplify]: Simplify (+ 0 1) into 1 4.721 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 4.721 * [backup-simplify]: Simplify (/ 1 (/ 1 x.re)) into x.re 4.721 * [taylor]: Taking taylor expansion of x.re in y.im 4.721 * [backup-simplify]: Simplify x.re into x.re 4.722 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.722 * [backup-simplify]: Simplify (+ 0 0) into 0 4.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 4.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.723 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 4.723 * [backup-simplify]: Simplify (- (/ 0 (/ 1 x.re)) (+ (* x.re (/ (/ 1 (* y.im x.im)) (/ 1 x.re))))) into (- (/ (pow x.re 2) (* y.im x.im))) 4.723 * [taylor]: Taking taylor expansion of (- (/ (pow x.re 2) (* y.im x.im))) in y.im 4.723 * [taylor]: Taking taylor expansion of (/ (pow x.re 2) (* y.im x.im)) in y.im 4.723 * [taylor]: Taking taylor expansion of (pow x.re 2) in y.im 4.723 * [taylor]: Taking taylor expansion of x.re in y.im 4.723 * [backup-simplify]: Simplify x.re into x.re 4.723 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.723 * [taylor]: Taking taylor expansion of y.im in y.im 4.723 * [backup-simplify]: Simplify 0 into 0 4.723 * [backup-simplify]: Simplify 1 into 1 4.723 * [taylor]: Taking taylor expansion of x.im in y.im 4.723 * [backup-simplify]: Simplify x.im into x.im 4.723 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 4.723 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.724 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.724 * [backup-simplify]: Simplify (/ (pow x.re 2) x.im) into (/ (pow x.re 2) x.im) 4.724 * [backup-simplify]: Simplify (- (/ (pow x.re 2) x.im)) into (- (/ (pow x.re 2) x.im)) 4.724 * [taylor]: Taking taylor expansion of (- (/ (pow x.re 2) x.im)) in x.re 4.724 * [taylor]: Taking taylor expansion of (/ (pow x.re 2) x.im) in x.re 4.724 * [taylor]: Taking taylor expansion of (pow x.re 2) in x.re 4.724 * [taylor]: Taking taylor expansion of x.re in x.re 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 1 into 1 4.724 * [taylor]: Taking taylor expansion of x.im in x.re 4.724 * [backup-simplify]: Simplify x.im into x.im 4.724 * [backup-simplify]: Simplify (* 1 1) into 1 4.724 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.724 * [taylor]: Taking taylor expansion of x.re in x.re 4.724 * [backup-simplify]: Simplify 0 into 0 4.724 * [backup-simplify]: Simplify 1 into 1 4.724 * [taylor]: Taking taylor expansion of 1 in x.im 4.724 * [backup-simplify]: Simplify 1 into 1 4.724 * [backup-simplify]: Simplify 0 into 0 4.725 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.726 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 4.726 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 4.727 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.728 * [backup-simplify]: Simplify (+ 0 0) into 0 4.729 * [backup-simplify]: Simplify (- (/ (/ 1 (pow y.im 2)) (/ 1 x.re)) (+ (* x.re (/ 0 (/ 1 x.re))) (* (- (/ (pow x.re 2) (* y.im x.im))) (/ (/ 1 (* y.im x.im)) (/ 1 x.re))))) into (+ (/ x.re (pow y.im 2)) (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2)))) 4.729 * [taylor]: Taking taylor expansion of (+ (/ x.re (pow y.im 2)) (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2)))) in y.im 4.729 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 2)) in y.im 4.729 * [taylor]: Taking taylor expansion of x.re in y.im 4.729 * [backup-simplify]: Simplify x.re into x.re 4.729 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.729 * [taylor]: Taking taylor expansion of y.im in y.im 4.729 * [backup-simplify]: Simplify 0 into 0 4.729 * [backup-simplify]: Simplify 1 into 1 4.729 * [backup-simplify]: Simplify (* 1 1) into 1 4.729 * [backup-simplify]: Simplify (/ x.re 1) into x.re 4.729 * [taylor]: Taking taylor expansion of (/ (pow x.re 3) (* (pow y.im 2) (pow x.im 2))) in y.im 4.729 * [taylor]: Taking taylor expansion of (pow x.re 3) in y.im 4.729 * [taylor]: Taking taylor expansion of x.re in y.im 4.729 * [backup-simplify]: Simplify x.re into x.re 4.729 * [taylor]: Taking taylor expansion of (* (pow y.im 2) (pow x.im 2)) in y.im 4.729 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.729 * [taylor]: Taking taylor expansion of y.im in y.im 4.730 * [backup-simplify]: Simplify 0 into 0 4.730 * [backup-simplify]: Simplify 1 into 1 4.730 * [taylor]: Taking taylor expansion of (pow x.im 2) in y.im 4.730 * [taylor]: Taking taylor expansion of x.im in y.im 4.730 * [backup-simplify]: Simplify x.im into x.im 4.730 * [backup-simplify]: Simplify (* x.re x.re) into (pow x.re 2) 4.730 * [backup-simplify]: Simplify (* x.re (pow x.re 2)) into (pow x.re 3) 4.730 * [backup-simplify]: Simplify (* 1 1) into 1 4.730 * [backup-simplify]: Simplify (* x.im x.im) into (pow x.im 2) 4.730 * [backup-simplify]: Simplify (* 1 (pow x.im 2)) into (pow x.im 2) 4.731 * [backup-simplify]: Simplify (/ (pow x.re 3) (pow x.im 2)) into (/ (pow x.re 3) (pow x.im 2)) 4.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0 4.732 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 4.732 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 (pow x.re 2))) into 0 4.732 * [backup-simplify]: Simplify (+ (* x.im 0) (* 0 x.im)) into 0 4.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 (pow x.im 2))) into 0 4.734 * [backup-simplify]: Simplify (- (/ 0 (pow x.im 2)) (+ (* (/ (pow x.re 3) (pow x.im 2)) (/ 0 (pow x.im 2))))) into 0 4.734 * [backup-simplify]: Simplify (+ 0 0) into 0 4.734 * [taylor]: Taking taylor expansion of 0 in x.re 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [taylor]: Taking taylor expansion of 0 in x.im 4.734 * [backup-simplify]: Simplify 0 into 0 4.734 * [backup-simplify]: Simplify 0 into 0 4.735 * [backup-simplify]: Simplify (+ (* x.re 0) (* 0 x.re)) into 0 4.735 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0 4.736 * [backup-simplify]: Simplify (- (/ 0 x.im) (+ (* (/ (pow x.re 2) x.im) (/ 0 x.im)))) into 0 4.736 * [backup-simplify]: Simplify (- 0) into 0 4.736 * [taylor]: Taking taylor expansion of 0 in x.re 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [taylor]: Taking taylor expansion of 0 in x.im 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [taylor]: Taking taylor expansion of 0 in x.re 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [taylor]: Taking taylor expansion of 0 in x.im 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify 0 into 0 4.736 * [backup-simplify]: Simplify (- (/ 1 x.im)) into (- (/ 1 x.im)) 4.736 * [taylor]: Taking taylor expansion of (- (/ 1 x.im)) in x.im 4.736 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 4.736 * [taylor]: Taking taylor expansion of x.im in x.im 4.737 * [backup-simplify]: Simplify 0 into 0 4.737 * [backup-simplify]: Simplify 1 into 1 4.737 * [backup-simplify]: Simplify (/ 1 1) into 1 4.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.739 * [backup-simplify]: Simplify (- 0) into 0 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [taylor]: Taking taylor expansion of 0 in x.im 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 2) 4.739 * [backup-simplify]: Simplify (+ (* y.re x.re) (* y.im x.im)) into (+ (* y.re x.re) (* y.im x.im)) 4.739 * [approximate]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in (y.re x.re y.im x.im) around 0 4.739 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 4.739 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.739 * [taylor]: Taking taylor expansion of y.re in x.im 4.739 * [backup-simplify]: Simplify y.re into y.re 4.739 * [taylor]: Taking taylor expansion of x.re in x.im 4.739 * [backup-simplify]: Simplify x.re into x.re 4.739 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.739 * [taylor]: Taking taylor expansion of y.im in x.im 4.739 * [backup-simplify]: Simplify y.im into y.im 4.739 * [taylor]: Taking taylor expansion of x.im in x.im 4.739 * [backup-simplify]: Simplify 0 into 0 4.739 * [backup-simplify]: Simplify 1 into 1 4.739 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 4.739 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.740 * [taylor]: Taking taylor expansion of y.re in y.im 4.740 * [backup-simplify]: Simplify y.re into y.re 4.740 * [taylor]: Taking taylor expansion of x.re in y.im 4.740 * [backup-simplify]: Simplify x.re into x.re 4.740 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.740 * [taylor]: Taking taylor expansion of y.im in y.im 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 1 into 1 4.740 * [taylor]: Taking taylor expansion of x.im in y.im 4.740 * [backup-simplify]: Simplify x.im into x.im 4.740 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 4.740 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.740 * [taylor]: Taking taylor expansion of y.re in x.re 4.740 * [backup-simplify]: Simplify y.re into y.re 4.740 * [taylor]: Taking taylor expansion of x.re in x.re 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 1 into 1 4.740 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.740 * [taylor]: Taking taylor expansion of y.im in x.re 4.740 * [backup-simplify]: Simplify y.im into y.im 4.740 * [taylor]: Taking taylor expansion of x.im in x.re 4.740 * [backup-simplify]: Simplify x.im into x.im 4.740 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 4.740 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.740 * [taylor]: Taking taylor expansion of y.re in y.re 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 1 into 1 4.740 * [taylor]: Taking taylor expansion of x.re in y.re 4.740 * [backup-simplify]: Simplify x.re into x.re 4.740 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.740 * [taylor]: Taking taylor expansion of y.im in y.re 4.740 * [backup-simplify]: Simplify y.im into y.im 4.740 * [taylor]: Taking taylor expansion of x.im in y.re 4.740 * [backup-simplify]: Simplify x.im into x.im 4.740 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 4.740 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.740 * [taylor]: Taking taylor expansion of y.re in y.re 4.740 * [backup-simplify]: Simplify 0 into 0 4.740 * [backup-simplify]: Simplify 1 into 1 4.740 * [taylor]: Taking taylor expansion of x.re in y.re 4.740 * [backup-simplify]: Simplify x.re into x.re 4.741 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.741 * [taylor]: Taking taylor expansion of y.im in y.re 4.741 * [backup-simplify]: Simplify y.im into y.im 4.741 * [taylor]: Taking taylor expansion of x.im in y.re 4.741 * [backup-simplify]: Simplify x.im into x.im 4.741 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.741 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.741 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 4.741 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.741 * [taylor]: Taking taylor expansion of y.im in x.re 4.741 * [backup-simplify]: Simplify y.im into y.im 4.741 * [taylor]: Taking taylor expansion of x.im in x.re 4.741 * [backup-simplify]: Simplify x.im into x.im 4.741 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.741 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.741 * [taylor]: Taking taylor expansion of y.im in y.im 4.741 * [backup-simplify]: Simplify 0 into 0 4.741 * [backup-simplify]: Simplify 1 into 1 4.741 * [taylor]: Taking taylor expansion of x.im in y.im 4.741 * [backup-simplify]: Simplify x.im into x.im 4.741 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.741 * [taylor]: Taking taylor expansion of 0 in x.im 4.741 * [backup-simplify]: Simplify 0 into 0 4.741 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.742 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.742 * [backup-simplify]: Simplify (+ x.re 0) into x.re 4.742 * [taylor]: Taking taylor expansion of x.re in x.re 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 1 into 1 4.742 * [taylor]: Taking taylor expansion of 0 in y.im 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [taylor]: Taking taylor expansion of 0 in x.im 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.742 * [taylor]: Taking taylor expansion of 0 in y.im 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [taylor]: Taking taylor expansion of 0 in x.im 4.742 * [backup-simplify]: Simplify 0 into 0 4.742 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.743 * [taylor]: Taking taylor expansion of x.im in x.im 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify 1 into 1 4.743 * [backup-simplify]: Simplify 0 into 0 4.743 * [backup-simplify]: Simplify 0 into 0 4.744 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 4.744 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.745 * [backup-simplify]: Simplify (+ 0 0) into 0 4.745 * [taylor]: Taking taylor expansion of 0 in x.re 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [taylor]: Taking taylor expansion of 0 in y.im 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [taylor]: Taking taylor expansion of 0 in x.im 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify 0 into 0 4.745 * [backup-simplify]: Simplify (+ (* (/ 1 y.re) (/ 1 x.re)) (* (/ 1 y.im) (/ 1 x.im))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 4.745 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (y.re x.re y.im x.im) around 0 4.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 4.745 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 4.745 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.745 * [taylor]: Taking taylor expansion of y.im in x.im 4.745 * [backup-simplify]: Simplify y.im into y.im 4.746 * [taylor]: Taking taylor expansion of x.im in x.im 4.746 * [backup-simplify]: Simplify 0 into 0 4.746 * [backup-simplify]: Simplify 1 into 1 4.746 * [backup-simplify]: Simplify (* y.im 0) into 0 4.746 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 4.746 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 4.746 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 4.746 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.746 * [taylor]: Taking taylor expansion of y.re in x.im 4.746 * [backup-simplify]: Simplify y.re into y.re 4.746 * [taylor]: Taking taylor expansion of x.re in x.im 4.746 * [backup-simplify]: Simplify x.re into x.re 4.746 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.746 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.746 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 4.746 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.747 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.747 * [taylor]: Taking taylor expansion of y.im in y.im 4.747 * [backup-simplify]: Simplify 0 into 0 4.747 * [backup-simplify]: Simplify 1 into 1 4.747 * [taylor]: Taking taylor expansion of x.im in y.im 4.747 * [backup-simplify]: Simplify x.im into x.im 4.747 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.747 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.747 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.747 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 4.747 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.747 * [taylor]: Taking taylor expansion of y.re in y.im 4.747 * [backup-simplify]: Simplify y.re into y.re 4.747 * [taylor]: Taking taylor expansion of x.re in y.im 4.747 * [backup-simplify]: Simplify x.re into x.re 4.747 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.747 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 4.748 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 4.748 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.748 * [taylor]: Taking taylor expansion of y.im in x.re 4.748 * [backup-simplify]: Simplify y.im into y.im 4.748 * [taylor]: Taking taylor expansion of x.im in x.re 4.748 * [backup-simplify]: Simplify x.im into x.im 4.748 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.748 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.748 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 4.748 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.748 * [taylor]: Taking taylor expansion of y.re in x.re 4.748 * [backup-simplify]: Simplify y.re into y.re 4.748 * [taylor]: Taking taylor expansion of x.re in x.re 4.748 * [backup-simplify]: Simplify 0 into 0 4.748 * [backup-simplify]: Simplify 1 into 1 4.748 * [backup-simplify]: Simplify (* y.re 0) into 0 4.748 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 4.749 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 4.749 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.749 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.749 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.749 * [taylor]: Taking taylor expansion of y.im in y.re 4.749 * [backup-simplify]: Simplify y.im into y.im 4.749 * [taylor]: Taking taylor expansion of x.im in y.re 4.749 * [backup-simplify]: Simplify x.im into x.im 4.749 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.749 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.749 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.749 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.749 * [taylor]: Taking taylor expansion of y.re in y.re 4.749 * [backup-simplify]: Simplify 0 into 0 4.749 * [backup-simplify]: Simplify 1 into 1 4.749 * [taylor]: Taking taylor expansion of x.re in y.re 4.749 * [backup-simplify]: Simplify x.re into x.re 4.749 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.750 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.750 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.750 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.750 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.750 * [taylor]: Taking taylor expansion of y.im in y.re 4.750 * [backup-simplify]: Simplify y.im into y.im 4.750 * [taylor]: Taking taylor expansion of x.im in y.re 4.750 * [backup-simplify]: Simplify x.im into x.im 4.750 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.750 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.750 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.750 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.750 * [taylor]: Taking taylor expansion of y.re in y.re 4.750 * [backup-simplify]: Simplify 0 into 0 4.750 * [backup-simplify]: Simplify 1 into 1 4.750 * [taylor]: Taking taylor expansion of x.re in y.re 4.750 * [backup-simplify]: Simplify x.re into x.re 4.750 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.751 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.751 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.751 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 4.751 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 4.751 * [taylor]: Taking taylor expansion of x.re in x.re 4.751 * [backup-simplify]: Simplify 0 into 0 4.751 * [backup-simplify]: Simplify 1 into 1 4.751 * [backup-simplify]: Simplify (/ 1 1) into 1 4.751 * [taylor]: Taking taylor expansion of 1 in y.im 4.751 * [backup-simplify]: Simplify 1 into 1 4.752 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 4.752 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.753 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 4.753 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 4.753 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.753 * [taylor]: Taking taylor expansion of y.im in x.re 4.753 * [backup-simplify]: Simplify y.im into y.im 4.753 * [taylor]: Taking taylor expansion of x.im in x.re 4.753 * [backup-simplify]: Simplify x.im into x.im 4.753 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.753 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.754 * [taylor]: Taking taylor expansion of 0 in y.im 4.754 * [backup-simplify]: Simplify 0 into 0 4.754 * [taylor]: Taking taylor expansion of 1 in x.im 4.754 * [backup-simplify]: Simplify 1 into 1 4.754 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.754 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 4.755 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.756 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.756 * [backup-simplify]: Simplify (+ 0 0) into 0 4.756 * [taylor]: Taking taylor expansion of 0 in x.re 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.756 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.756 * [taylor]: Taking taylor expansion of y.im in y.im 4.756 * [backup-simplify]: Simplify 0 into 0 4.756 * [backup-simplify]: Simplify 1 into 1 4.756 * [taylor]: Taking taylor expansion of x.im in y.im 4.756 * [backup-simplify]: Simplify x.im into x.im 4.756 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.757 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.757 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.757 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 4.757 * [taylor]: Taking taylor expansion of x.im in x.im 4.757 * [backup-simplify]: Simplify 0 into 0 4.757 * [backup-simplify]: Simplify 1 into 1 4.757 * [backup-simplify]: Simplify (/ 1 1) into 1 4.758 * [backup-simplify]: Simplify 1 into 1 4.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.759 * [taylor]: Taking taylor expansion of 0 in y.im 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [taylor]: Taking taylor expansion of 0 in x.im 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [taylor]: Taking taylor expansion of 0 in x.im 4.759 * [backup-simplify]: Simplify 0 into 0 4.759 * [backup-simplify]: Simplify 1 into 1 4.759 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.760 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 4.761 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0 4.761 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.762 * [backup-simplify]: Simplify (+ 0 0) into 0 4.762 * [taylor]: Taking taylor expansion of 0 in x.re 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [taylor]: Taking taylor expansion of 0 in y.im 4.762 * [backup-simplify]: Simplify 0 into 0 4.762 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.762 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 4.762 * [taylor]: Taking taylor expansion of 0 in y.im 4.762 * [backup-simplify]: Simplify 0 into 0 4.763 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.763 * [taylor]: Taking taylor expansion of 0 in y.im 4.763 * [backup-simplify]: Simplify 0 into 0 4.764 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0 4.764 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 4.764 * [taylor]: Taking taylor expansion of 0 in x.im 4.764 * [backup-simplify]: Simplify 0 into 0 4.764 * [taylor]: Taking taylor expansion of 0 in x.im 4.764 * [backup-simplify]: Simplify 0 into 0 4.764 * [taylor]: Taking taylor expansion of 0 in x.im 4.764 * [backup-simplify]: Simplify 0 into 0 4.764 * [taylor]: Taking taylor expansion of 0 in x.im 4.764 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify 0 into 0 4.765 * [backup-simplify]: Simplify 0 into 0 4.766 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 4.767 * [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 4.768 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0 4.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.769 * [backup-simplify]: Simplify (+ 0 0) into 0 4.769 * [taylor]: Taking taylor expansion of 0 in x.re 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [taylor]: Taking taylor expansion of 0 in y.im 4.769 * [backup-simplify]: Simplify 0 into 0 4.769 * [taylor]: Taking taylor expansion of 0 in y.im 4.769 * [backup-simplify]: Simplify 0 into 0 4.770 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 4.770 * [taylor]: Taking taylor expansion of 0 in y.im 4.770 * [backup-simplify]: Simplify 0 into 0 4.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.771 * [taylor]: Taking taylor expansion of 0 in y.im 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [taylor]: Taking taylor expansion of 0 in x.im 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [taylor]: Taking taylor expansion of 0 in x.im 4.771 * [backup-simplify]: Simplify 0 into 0 4.771 * [taylor]: Taking taylor expansion of 0 in x.im 4.771 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.im)))) into 0 4.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.773 * [taylor]: Taking taylor expansion of 0 in x.im 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [taylor]: Taking taylor expansion of 0 in x.im 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [taylor]: Taking taylor expansion of 0 in x.im 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [taylor]: Taking taylor expansion of 0 in x.im 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.773 * [backup-simplify]: Simplify 0 into 0 4.774 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 x.re)) (/ 1 (/ 1 y.re)))))) (* 1 (* (/ 1 (/ 1 x.im)) (* (/ 1 (/ 1 y.im)) (* 1 1))))) into (+ (* y.re x.re) (* y.im x.im)) 4.774 * [backup-simplify]: Simplify (+ (* (/ 1 (- y.re)) (/ 1 (- x.re))) (* (/ 1 (- y.im)) (/ 1 (- x.im)))) into (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) 4.774 * [approximate]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in (y.re x.re y.im x.im) around 0 4.774 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 4.774 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 4.774 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.775 * [taylor]: Taking taylor expansion of y.im in x.im 4.775 * [backup-simplify]: Simplify y.im into y.im 4.775 * [taylor]: Taking taylor expansion of x.im in x.im 4.775 * [backup-simplify]: Simplify 0 into 0 4.775 * [backup-simplify]: Simplify 1 into 1 4.775 * [backup-simplify]: Simplify (* y.im 0) into 0 4.775 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 4.775 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 4.775 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 4.775 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.775 * [taylor]: Taking taylor expansion of y.re in x.im 4.775 * [backup-simplify]: Simplify y.re into y.re 4.775 * [taylor]: Taking taylor expansion of x.re in x.im 4.775 * [backup-simplify]: Simplify x.re into x.re 4.775 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.775 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 4.776 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.776 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.776 * [taylor]: Taking taylor expansion of y.im in y.im 4.776 * [backup-simplify]: Simplify 0 into 0 4.776 * [backup-simplify]: Simplify 1 into 1 4.776 * [taylor]: Taking taylor expansion of x.im in y.im 4.776 * [backup-simplify]: Simplify x.im into x.im 4.776 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.776 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.776 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.776 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 4.776 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.776 * [taylor]: Taking taylor expansion of y.re in y.im 4.776 * [backup-simplify]: Simplify y.re into y.re 4.776 * [taylor]: Taking taylor expansion of x.re in y.im 4.776 * [backup-simplify]: Simplify x.re into x.re 4.776 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.777 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.777 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 4.777 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 4.777 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.777 * [taylor]: Taking taylor expansion of y.im in x.re 4.777 * [backup-simplify]: Simplify y.im into y.im 4.777 * [taylor]: Taking taylor expansion of x.im in x.re 4.777 * [backup-simplify]: Simplify x.im into x.im 4.777 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.777 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.777 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 4.777 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.777 * [taylor]: Taking taylor expansion of y.re in x.re 4.777 * [backup-simplify]: Simplify y.re into y.re 4.777 * [taylor]: Taking taylor expansion of x.re in x.re 4.777 * [backup-simplify]: Simplify 0 into 0 4.777 * [backup-simplify]: Simplify 1 into 1 4.777 * [backup-simplify]: Simplify (* y.re 0) into 0 4.778 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 4.778 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 4.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.778 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.778 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.778 * [taylor]: Taking taylor expansion of y.im in y.re 4.778 * [backup-simplify]: Simplify y.im into y.im 4.778 * [taylor]: Taking taylor expansion of x.im in y.re 4.778 * [backup-simplify]: Simplify x.im into x.im 4.778 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.778 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.778 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.778 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.778 * [taylor]: Taking taylor expansion of y.re in y.re 4.778 * [backup-simplify]: Simplify 0 into 0 4.778 * [backup-simplify]: Simplify 1 into 1 4.778 * [taylor]: Taking taylor expansion of x.re in y.re 4.778 * [backup-simplify]: Simplify x.re into x.re 4.778 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.779 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.779 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.779 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.779 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.779 * [taylor]: Taking taylor expansion of y.im in y.re 4.779 * [backup-simplify]: Simplify y.im into y.im 4.779 * [taylor]: Taking taylor expansion of x.im in y.re 4.779 * [backup-simplify]: Simplify x.im into x.im 4.779 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.779 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.779 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.779 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.779 * [taylor]: Taking taylor expansion of y.re in y.re 4.779 * [backup-simplify]: Simplify 0 into 0 4.779 * [backup-simplify]: Simplify 1 into 1 4.779 * [taylor]: Taking taylor expansion of x.re in y.re 4.779 * [backup-simplify]: Simplify x.re into x.re 4.779 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.780 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.780 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.780 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 4.780 * [taylor]: Taking taylor expansion of (/ 1 x.re) in x.re 4.780 * [taylor]: Taking taylor expansion of x.re in x.re 4.780 * [backup-simplify]: Simplify 0 into 0 4.780 * [backup-simplify]: Simplify 1 into 1 4.780 * [backup-simplify]: Simplify (/ 1 1) into 1 4.780 * [taylor]: Taking taylor expansion of 1 in y.im 4.781 * [backup-simplify]: Simplify 1 into 1 4.781 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 4.781 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.782 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 4.782 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 4.782 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.782 * [taylor]: Taking taylor expansion of y.im in x.re 4.782 * [backup-simplify]: Simplify y.im into y.im 4.782 * [taylor]: Taking taylor expansion of x.im in x.re 4.782 * [backup-simplify]: Simplify x.im into x.im 4.782 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.782 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.783 * [taylor]: Taking taylor expansion of 0 in y.im 4.783 * [backup-simplify]: Simplify 0 into 0 4.783 * [taylor]: Taking taylor expansion of 1 in x.im 4.783 * [backup-simplify]: Simplify 1 into 1 4.783 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.783 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 4.784 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.785 * [backup-simplify]: Simplify (+ 0 0) into 0 4.785 * [taylor]: Taking taylor expansion of 0 in x.re 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.785 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.785 * [taylor]: Taking taylor expansion of y.im in y.im 4.785 * [backup-simplify]: Simplify 0 into 0 4.785 * [backup-simplify]: Simplify 1 into 1 4.785 * [taylor]: Taking taylor expansion of x.im in y.im 4.785 * [backup-simplify]: Simplify x.im into x.im 4.785 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.786 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.786 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.786 * [taylor]: Taking taylor expansion of (/ 1 x.im) in x.im 4.786 * [taylor]: Taking taylor expansion of x.im in x.im 4.786 * [backup-simplify]: Simplify 0 into 0 4.786 * [backup-simplify]: Simplify 1 into 1 4.786 * [backup-simplify]: Simplify (/ 1 1) into 1 4.786 * [backup-simplify]: Simplify 1 into 1 4.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.787 * [taylor]: Taking taylor expansion of 0 in y.im 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [taylor]: Taking taylor expansion of 0 in x.im 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [taylor]: Taking taylor expansion of 0 in x.im 4.787 * [backup-simplify]: Simplify 0 into 0 4.787 * [backup-simplify]: Simplify 1 into 1 4.788 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 4.789 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0 4.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.790 * [backup-simplify]: Simplify (+ 0 0) into 0 4.790 * [taylor]: Taking taylor expansion of 0 in x.re 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [taylor]: Taking taylor expansion of 0 in y.im 4.790 * [backup-simplify]: Simplify 0 into 0 4.790 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 4.791 * [taylor]: Taking taylor expansion of 0 in y.im 4.791 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.792 * [taylor]: Taking taylor expansion of 0 in y.im 4.792 * [backup-simplify]: Simplify 0 into 0 4.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0 4.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 4.793 * [taylor]: Taking taylor expansion of 0 in x.im 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [taylor]: Taking taylor expansion of 0 in x.im 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [taylor]: Taking taylor expansion of 0 in x.im 4.793 * [backup-simplify]: Simplify 0 into 0 4.793 * [taylor]: Taking taylor expansion of 0 in x.im 4.793 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 0 into 0 4.794 * [backup-simplify]: Simplify 0 into 0 4.795 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 4.795 * [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 4.802 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0 4.802 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.803 * [backup-simplify]: Simplify (+ 0 0) into 0 4.803 * [taylor]: Taking taylor expansion of 0 in x.re 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [taylor]: Taking taylor expansion of 0 in y.im 4.803 * [backup-simplify]: Simplify 0 into 0 4.803 * [taylor]: Taking taylor expansion of 0 in y.im 4.803 * [backup-simplify]: Simplify 0 into 0 4.804 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.804 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 4.804 * [taylor]: Taking taylor expansion of 0 in y.im 4.804 * [backup-simplify]: Simplify 0 into 0 4.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.805 * [taylor]: Taking taylor expansion of 0 in y.im 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [taylor]: Taking taylor expansion of 0 in x.im 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [taylor]: Taking taylor expansion of 0 in x.im 4.806 * [backup-simplify]: Simplify 0 into 0 4.806 * [taylor]: Taking taylor expansion of 0 in x.im 4.806 * [backup-simplify]: Simplify 0 into 0 4.807 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.im)))) into 0 4.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.808 * [taylor]: Taking taylor expansion of 0 in x.im 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [taylor]: Taking taylor expansion of 0 in x.im 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [taylor]: Taking taylor expansion of 0 in x.im 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [taylor]: Taking taylor expansion of 0 in x.im 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify 0 into 0 4.808 * [backup-simplify]: Simplify 0 into 0 4.809 * [backup-simplify]: Simplify (+ (* 1 (* 1 (* 1 (* (/ 1 (/ 1 (- x.re))) (/ 1 (/ 1 (- y.re))))))) (* 1 (* (/ 1 (/ 1 (- x.im))) (* (/ 1 (/ 1 (- y.im))) (* 1 1))))) into (+ (* y.re x.re) (* y.im x.im)) 4.809 * * * * [progress]: [ 3 / 3 ] generating series at (2) 4.811 * [backup-simplify]: Simplify (/ (pow 1 1) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))) into (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) 4.811 * [approximate]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im x.re x.im) around 0 4.811 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in x.im 4.811 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 4.811 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.812 * [taylor]: Taking taylor expansion of y.re in x.im 4.812 * [backup-simplify]: Simplify y.re into y.re 4.812 * [taylor]: Taking taylor expansion of x.re in x.im 4.812 * [backup-simplify]: Simplify x.re into x.re 4.812 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.812 * [taylor]: Taking taylor expansion of y.im in x.im 4.812 * [backup-simplify]: Simplify y.im into y.im 4.812 * [taylor]: Taking taylor expansion of x.im in x.im 4.812 * [backup-simplify]: Simplify 0 into 0 4.812 * [backup-simplify]: Simplify 1 into 1 4.812 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.im 4.812 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 4.812 * [taylor]: Taking taylor expansion of y.im in x.im 4.812 * [backup-simplify]: Simplify y.im into y.im 4.812 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 4.812 * [taylor]: Taking taylor expansion of y.re in x.im 4.812 * [backup-simplify]: Simplify y.re into y.re 4.812 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.812 * [backup-simplify]: Simplify (* y.im 0) into 0 4.812 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 4.812 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.813 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.813 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 4.813 * [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))) 4.813 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in x.re 4.813 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 4.813 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.813 * [taylor]: Taking taylor expansion of y.re in x.re 4.813 * [backup-simplify]: Simplify y.re into y.re 4.813 * [taylor]: Taking taylor expansion of x.re in x.re 4.813 * [backup-simplify]: Simplify 0 into 0 4.814 * [backup-simplify]: Simplify 1 into 1 4.814 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.814 * [taylor]: Taking taylor expansion of y.im in x.re 4.814 * [backup-simplify]: Simplify y.im into y.im 4.814 * [taylor]: Taking taylor expansion of x.im in x.re 4.814 * [backup-simplify]: Simplify x.im into x.im 4.814 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 4.814 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 4.814 * [taylor]: Taking taylor expansion of y.im in x.re 4.814 * [backup-simplify]: Simplify y.im into y.im 4.814 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 4.814 * [taylor]: Taking taylor expansion of y.re in x.re 4.814 * [backup-simplify]: Simplify y.re into y.re 4.814 * [backup-simplify]: Simplify (* y.re 0) into 0 4.814 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.814 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 4.814 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.814 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.814 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 4.815 * [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))) 4.815 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in y.im 4.815 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 4.815 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.815 * [taylor]: Taking taylor expansion of y.re in y.im 4.815 * [backup-simplify]: Simplify y.re into y.re 4.815 * [taylor]: Taking taylor expansion of x.re in y.im 4.815 * [backup-simplify]: Simplify x.re into x.re 4.815 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.815 * [taylor]: Taking taylor expansion of y.im in y.im 4.815 * [backup-simplify]: Simplify 0 into 0 4.815 * [backup-simplify]: Simplify 1 into 1 4.815 * [taylor]: Taking taylor expansion of x.im in y.im 4.815 * [backup-simplify]: Simplify x.im into x.im 4.815 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 4.815 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.815 * [taylor]: Taking taylor expansion of y.im in y.im 4.815 * [backup-simplify]: Simplify 0 into 0 4.815 * [backup-simplify]: Simplify 1 into 1 4.815 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.815 * [taylor]: Taking taylor expansion of y.re in y.im 4.815 * [backup-simplify]: Simplify y.re into y.re 4.816 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.816 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.816 * [backup-simplify]: Simplify (+ (* y.re x.re) 0) into (* y.re x.re) 4.816 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.816 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 4.816 * [backup-simplify]: Simplify (/ (* y.re x.re) (pow y.re 2)) into (/ x.re y.re) 4.816 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in y.re 4.816 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 4.816 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.816 * [taylor]: Taking taylor expansion of y.re in y.re 4.816 * [backup-simplify]: Simplify 0 into 0 4.816 * [backup-simplify]: Simplify 1 into 1 4.816 * [taylor]: Taking taylor expansion of x.re in y.re 4.816 * [backup-simplify]: Simplify x.re into x.re 4.816 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.816 * [taylor]: Taking taylor expansion of y.im in y.re 4.816 * [backup-simplify]: Simplify y.im into y.im 4.816 * [taylor]: Taking taylor expansion of x.im in y.re 4.817 * [backup-simplify]: Simplify x.im into x.im 4.817 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 4.817 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.817 * [taylor]: Taking taylor expansion of y.im in y.re 4.817 * [backup-simplify]: Simplify y.im into y.im 4.817 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.817 * [taylor]: Taking taylor expansion of y.re in y.re 4.817 * [backup-simplify]: Simplify 0 into 0 4.817 * [backup-simplify]: Simplify 1 into 1 4.817 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.817 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.817 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 4.817 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.817 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 4.817 * [backup-simplify]: Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im) 4.817 * [taylor]: Taking taylor expansion of (/ (+ (* y.re x.re) (* y.im x.im)) (+ (pow y.im 2) (pow y.re 2))) in y.re 4.817 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 4.818 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.818 * [taylor]: Taking taylor expansion of y.re in y.re 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 1 into 1 4.818 * [taylor]: Taking taylor expansion of x.re in y.re 4.818 * [backup-simplify]: Simplify x.re into x.re 4.818 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.818 * [taylor]: Taking taylor expansion of y.im in y.re 4.818 * [backup-simplify]: Simplify y.im into y.im 4.818 * [taylor]: Taking taylor expansion of x.im in y.re 4.818 * [backup-simplify]: Simplify x.im into x.im 4.818 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 4.818 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.818 * [taylor]: Taking taylor expansion of y.im in y.re 4.818 * [backup-simplify]: Simplify y.im into y.im 4.818 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.818 * [taylor]: Taking taylor expansion of y.re in y.re 4.818 * [backup-simplify]: Simplify 0 into 0 4.818 * [backup-simplify]: Simplify 1 into 1 4.818 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.818 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.818 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 4.818 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.819 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 4.819 * [backup-simplify]: Simplify (/ (* y.im x.im) (pow y.im 2)) into (/ x.im y.im) 4.819 * [taylor]: Taking taylor expansion of (/ x.im y.im) in y.im 4.819 * [taylor]: Taking taylor expansion of x.im in y.im 4.819 * [backup-simplify]: Simplify x.im into x.im 4.819 * [taylor]: Taking taylor expansion of y.im in y.im 4.819 * [backup-simplify]: Simplify 0 into 0 4.819 * [backup-simplify]: Simplify 1 into 1 4.819 * [backup-simplify]: Simplify (/ x.im 1) into x.im 4.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)))) into 0 4.820 * [taylor]: Taking taylor expansion of 0 in x.re 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [taylor]: Taking taylor expansion of 0 in x.im 4.820 * [backup-simplify]: Simplify 0 into 0 4.820 * [backup-simplify]: Simplify 0 into 0 4.821 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.821 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.821 * [backup-simplify]: Simplify (+ x.re 0) into x.re 4.821 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.821 * [backup-simplify]: Simplify (+ 0 0) into 0 4.822 * [backup-simplify]: Simplify (- (/ x.re (pow y.im 2)) (+ (* (/ x.im y.im) (/ 0 (pow y.im 2))))) into (/ x.re (pow y.im 2)) 4.822 * [taylor]: Taking taylor expansion of (/ x.re (pow y.im 2)) in y.im 4.822 * [taylor]: Taking taylor expansion of x.re in y.im 4.822 * [backup-simplify]: Simplify x.re into x.re 4.822 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.822 * [taylor]: Taking taylor expansion of y.im in y.im 4.822 * [backup-simplify]: Simplify 0 into 0 4.822 * [backup-simplify]: Simplify 1 into 1 4.822 * [backup-simplify]: Simplify (* 1 1) into 1 4.823 * [backup-simplify]: Simplify (/ x.re 1) into x.re 4.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)))) into 0 4.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.re (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.827 * [taylor]: Taking taylor expansion of 0 in x.re 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [taylor]: Taking taylor expansion of 0 in x.im 4.827 * [backup-simplify]: Simplify 0 into 0 4.827 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.828 * [taylor]: Taking taylor expansion of 0 in x.re 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [taylor]: Taking taylor expansion of 0 in x.im 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [taylor]: Taking taylor expansion of 0 in x.im 4.828 * [backup-simplify]: Simplify 0 into 0 4.828 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify 0 into 0 4.829 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 4.830 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.830 * [backup-simplify]: Simplify (+ 0 0) into 0 4.831 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 4.831 * [backup-simplify]: Simplify (* 1 1) into 1 4.832 * [backup-simplify]: Simplify (+ 0 1) into 1 4.833 * [backup-simplify]: Simplify (- (/ 0 (pow y.im 2)) (+ (* (/ x.im y.im) (/ 1 (pow y.im 2))) (* (/ x.re (pow y.im 2)) (/ 0 (pow y.im 2))))) into (- (/ x.im (pow y.im 3))) 4.833 * [taylor]: Taking taylor expansion of (- (/ x.im (pow y.im 3))) in y.im 4.833 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 3)) in y.im 4.833 * [taylor]: Taking taylor expansion of x.im in y.im 4.833 * [backup-simplify]: Simplify x.im into x.im 4.833 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im 4.833 * [taylor]: Taking taylor expansion of y.im in y.im 4.833 * [backup-simplify]: Simplify 0 into 0 4.833 * [backup-simplify]: Simplify 1 into 1 4.833 * [backup-simplify]: Simplify (* 1 1) into 1 4.834 * [backup-simplify]: Simplify (* 1 1) into 1 4.834 * [backup-simplify]: Simplify (/ x.im 1) into x.im 4.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.836 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.838 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.839 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)))) into 0 4.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.841 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.843 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* x.im (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.844 * [backup-simplify]: Simplify (- 0) into 0 4.844 * [taylor]: Taking taylor expansion of 0 in x.re 4.844 * [backup-simplify]: Simplify 0 into 0 4.844 * [taylor]: Taking taylor expansion of 0 in x.im 4.844 * [backup-simplify]: Simplify 0 into 0 4.844 * [backup-simplify]: Simplify 0 into 0 4.844 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify (/ (pow 1 1) (/ (+ (* (/ 1 y.re) (/ 1 y.re)) (* (/ 1 y.im) (/ 1 y.im))) (+ (* (/ 1 y.re) (/ 1 x.re)) (* (/ 1 y.im) (/ 1 x.im))))) into (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 4.845 * [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 (y.re y.im x.re x.im) around 0 4.845 * [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 4.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 4.845 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 4.845 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.845 * [taylor]: Taking taylor expansion of y.im in x.im 4.845 * [backup-simplify]: Simplify y.im into y.im 4.845 * [taylor]: Taking taylor expansion of x.im in x.im 4.845 * [backup-simplify]: Simplify 0 into 0 4.845 * [backup-simplify]: Simplify 1 into 1 4.845 * [backup-simplify]: Simplify (* y.im 0) into 0 4.846 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 4.846 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 4.846 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 4.846 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.846 * [taylor]: Taking taylor expansion of y.re in x.im 4.846 * [backup-simplify]: Simplify y.re into y.re 4.846 * [taylor]: Taking taylor expansion of x.re in x.im 4.846 * [backup-simplify]: Simplify x.re into x.re 4.846 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.846 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.846 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 4.846 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 4.846 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 4.846 * [taylor]: Taking taylor expansion of y.im in x.im 4.846 * [backup-simplify]: Simplify y.im into y.im 4.846 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.847 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.847 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 4.847 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 4.847 * [taylor]: Taking taylor expansion of y.re in x.im 4.847 * [backup-simplify]: Simplify y.re into y.re 4.847 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.847 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.847 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 4.847 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 4.848 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 4.848 * [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 4.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 4.848 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 4.848 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.848 * [taylor]: Taking taylor expansion of y.im in x.re 4.848 * [backup-simplify]: Simplify y.im into y.im 4.848 * [taylor]: Taking taylor expansion of x.im in x.re 4.848 * [backup-simplify]: Simplify x.im into x.im 4.848 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.848 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.848 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 4.848 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.848 * [taylor]: Taking taylor expansion of y.re in x.re 4.848 * [backup-simplify]: Simplify y.re into y.re 4.848 * [taylor]: Taking taylor expansion of x.re in x.re 4.848 * [backup-simplify]: Simplify 0 into 0 4.848 * [backup-simplify]: Simplify 1 into 1 4.848 * [backup-simplify]: Simplify (* y.re 0) into 0 4.849 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 4.849 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 4.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 4.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 4.849 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 4.849 * [taylor]: Taking taylor expansion of y.im in x.re 4.849 * [backup-simplify]: Simplify y.im into y.im 4.849 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.849 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.849 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 4.849 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 4.849 * [taylor]: Taking taylor expansion of y.re in x.re 4.849 * [backup-simplify]: Simplify y.re into y.re 4.849 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.850 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.850 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 4.850 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 4.850 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) 4.850 * [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 4.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 4.850 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.850 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.850 * [taylor]: Taking taylor expansion of y.im in y.im 4.850 * [backup-simplify]: Simplify 0 into 0 4.850 * [backup-simplify]: Simplify 1 into 1 4.850 * [taylor]: Taking taylor expansion of x.im in y.im 4.850 * [backup-simplify]: Simplify x.im into x.im 4.850 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.850 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.850 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.851 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 4.851 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.851 * [taylor]: Taking taylor expansion of y.re in y.im 4.851 * [backup-simplify]: Simplify y.re into y.re 4.851 * [taylor]: Taking taylor expansion of x.re in y.im 4.851 * [backup-simplify]: Simplify x.re into x.re 4.851 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.851 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.851 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 4.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 4.851 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.851 * [taylor]: Taking taylor expansion of y.im in y.im 4.851 * [backup-simplify]: Simplify 0 into 0 4.851 * [backup-simplify]: Simplify 1 into 1 4.851 * [backup-simplify]: Simplify (* 1 1) into 1 4.851 * [backup-simplify]: Simplify (/ 1 1) into 1 4.851 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 4.851 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.851 * [taylor]: Taking taylor expansion of y.re in y.im 4.851 * [backup-simplify]: Simplify y.re into y.re 4.851 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.851 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.852 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 4.852 * [backup-simplify]: Simplify (+ 1 0) into 1 4.852 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im) 4.852 * [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 4.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.852 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.852 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.852 * [taylor]: Taking taylor expansion of y.im in y.re 4.852 * [backup-simplify]: Simplify y.im into y.im 4.852 * [taylor]: Taking taylor expansion of x.im in y.re 4.852 * [backup-simplify]: Simplify x.im into x.im 4.852 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.852 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.852 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.852 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.852 * [taylor]: Taking taylor expansion of y.re in y.re 4.852 * [backup-simplify]: Simplify 0 into 0 4.852 * [backup-simplify]: Simplify 1 into 1 4.852 * [taylor]: Taking taylor expansion of x.re in y.re 4.852 * [backup-simplify]: Simplify x.re into x.re 4.852 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.852 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.853 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.853 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.853 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.853 * [taylor]: Taking taylor expansion of y.im in y.re 4.853 * [backup-simplify]: Simplify y.im into y.im 4.853 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.853 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.853 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.853 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.853 * [taylor]: Taking taylor expansion of y.re in y.re 4.853 * [backup-simplify]: Simplify 0 into 0 4.853 * [backup-simplify]: Simplify 1 into 1 4.853 * [backup-simplify]: Simplify (* 1 1) into 1 4.853 * [backup-simplify]: Simplify (/ 1 1) into 1 4.853 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 4.854 * [backup-simplify]: Simplify (+ 0 1) into 1 4.854 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re) 4.854 * [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 4.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.854 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.854 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.854 * [taylor]: Taking taylor expansion of y.im in y.re 4.854 * [backup-simplify]: Simplify y.im into y.im 4.854 * [taylor]: Taking taylor expansion of x.im in y.re 4.854 * [backup-simplify]: Simplify x.im into x.im 4.854 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.854 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.854 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.854 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.854 * [taylor]: Taking taylor expansion of y.re in y.re 4.854 * [backup-simplify]: Simplify 0 into 0 4.854 * [backup-simplify]: Simplify 1 into 1 4.854 * [taylor]: Taking taylor expansion of x.re in y.re 4.854 * [backup-simplify]: Simplify x.re into x.re 4.854 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.854 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.854 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.854 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.854 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.854 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.854 * [taylor]: Taking taylor expansion of y.im in y.re 4.855 * [backup-simplify]: Simplify y.im into y.im 4.855 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.855 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.855 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.855 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.855 * [taylor]: Taking taylor expansion of y.re in y.re 4.855 * [backup-simplify]: Simplify 0 into 0 4.855 * [backup-simplify]: Simplify 1 into 1 4.855 * [backup-simplify]: Simplify (* 1 1) into 1 4.855 * [backup-simplify]: Simplify (/ 1 1) into 1 4.855 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 4.856 * [backup-simplify]: Simplify (+ 0 1) into 1 4.856 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re) 4.856 * [taylor]: Taking taylor expansion of (/ 1 x.re) in y.im 4.856 * [taylor]: Taking taylor expansion of x.re in y.im 4.856 * [backup-simplify]: Simplify x.re into x.re 4.856 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.856 * [taylor]: Taking taylor expansion of 0 in x.re 4.856 * [backup-simplify]: Simplify 0 into 0 4.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 4.856 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.857 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 4.857 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.858 * [backup-simplify]: Simplify (+ 0 0) into 0 4.858 * [backup-simplify]: Simplify (- (/ (/ 1 (* y.im x.im)) 1) (+ (* (/ 1 x.re) (/ 0 1)))) into (/ 1 (* y.im x.im)) 4.858 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.858 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.858 * [taylor]: Taking taylor expansion of y.im in y.im 4.858 * [backup-simplify]: Simplify 0 into 0 4.858 * [backup-simplify]: Simplify 1 into 1 4.858 * [taylor]: Taking taylor expansion of x.im in y.im 4.858 * [backup-simplify]: Simplify x.im into x.im 4.858 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.858 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.858 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.859 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.im)))) into 0 4.860 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0 4.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 4.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.860 * [taylor]: Taking taylor expansion of 0 in x.re 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.860 * [taylor]: Taking taylor expansion of 0 in x.re 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [taylor]: Taking taylor expansion of 0 in x.im 4.860 * [backup-simplify]: Simplify 0 into 0 4.860 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.860 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 4.861 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.861 * [backup-simplify]: Simplify (+ 0 0) into 0 4.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.863 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 4.863 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 1 x.re) (/ (/ 1 (pow y.im 2)) 1)) (* (/ 1 (* y.im x.im)) (/ 0 1)))) into (- (/ 1 (* (pow y.im 2) x.re))) 4.863 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y.im 2) x.re))) in y.im 4.863 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.re)) in y.im 4.863 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.re) in y.im 4.863 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.863 * [taylor]: Taking taylor expansion of y.im in y.im 4.863 * [backup-simplify]: Simplify 0 into 0 4.863 * [backup-simplify]: Simplify 1 into 1 4.863 * [taylor]: Taking taylor expansion of x.re in y.im 4.863 * [backup-simplify]: Simplify x.re into x.re 4.864 * [backup-simplify]: Simplify (* 1 1) into 1 4.864 * [backup-simplify]: Simplify (* 1 x.re) into x.re 4.864 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.865 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.866 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.re)) into 0 4.866 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.867 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.re))) into 0 4.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.867 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.868 * [backup-simplify]: Simplify (- 0) into 0 4.868 * [taylor]: Taking taylor expansion of 0 in x.re 4.868 * [backup-simplify]: Simplify 0 into 0 4.868 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0 4.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.869 * [taylor]: Taking taylor expansion of 0 in x.re 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.869 * [taylor]: Taking taylor expansion of 0 in x.re 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [taylor]: Taking taylor expansion of 0 in x.im 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [taylor]: Taking taylor expansion of 0 in x.im 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [taylor]: Taking taylor expansion of 0 in x.im 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify 0 into 0 4.869 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.869 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 4.870 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0 4.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.871 * [backup-simplify]: Simplify (+ 0 0) into 0 4.871 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 4.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.872 * [backup-simplify]: Simplify (+ 0 0) into 0 4.874 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 1 x.re) (/ 0 1)) (* (/ 1 (* y.im x.im)) (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (* (pow y.im 2) x.re))) (/ 0 1)))) into (- (/ 1 (* (pow y.im 3) x.im))) 4.874 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y.im 3) x.im))) in y.im 4.874 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 3) x.im)) in y.im 4.874 * [taylor]: Taking taylor expansion of (* (pow y.im 3) x.im) in y.im 4.874 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im 4.874 * [taylor]: Taking taylor expansion of y.im in y.im 4.874 * [backup-simplify]: Simplify 0 into 0 4.874 * [backup-simplify]: Simplify 1 into 1 4.874 * [taylor]: Taking taylor expansion of x.im in y.im 4.874 * [backup-simplify]: Simplify x.im into x.im 4.874 * [backup-simplify]: Simplify (* 1 1) into 1 4.874 * [backup-simplify]: Simplify (* 1 1) into 1 4.874 * [backup-simplify]: Simplify (* 1 x.im) into x.im 4.874 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.876 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.878 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0 4.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0 4.880 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 4.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 4.881 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0 4.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.882 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.882 * [backup-simplify]: Simplify (- 0) into 0 4.882 * [taylor]: Taking taylor expansion of 0 in x.re 4.882 * [backup-simplify]: Simplify 0 into 0 4.883 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.885 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0 4.885 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.885 * [backup-simplify]: Simplify (- 0) into 0 4.885 * [taylor]: Taking taylor expansion of 0 in x.re 4.885 * [backup-simplify]: Simplify 0 into 0 4.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0 4.887 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.887 * [taylor]: Taking taylor expansion of 0 in x.re 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.888 * [taylor]: Taking taylor expansion of 0 in x.re 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [taylor]: Taking taylor expansion of 0 in x.im 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [taylor]: Taking taylor expansion of 0 in x.im 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [taylor]: Taking taylor expansion of 0 in x.im 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [taylor]: Taking taylor expansion of 0 in x.im 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [taylor]: Taking taylor expansion of 0 in x.im 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [taylor]: Taking taylor expansion of 0 in x.im 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.888 * [backup-simplify]: Simplify 0 into 0 4.889 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 4.889 * [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 4.891 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0 4.891 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.891 * [backup-simplify]: Simplify (+ 0 0) into 0 4.891 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 4.892 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 4.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.893 * [backup-simplify]: Simplify (+ 0 0) into 0 4.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 1 x.re) (/ 0 1)) (* (/ 1 (* y.im x.im)) (/ 0 1)) (* (- (/ 1 (* (pow y.im 2) x.re))) (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (* (pow y.im 3) x.im))) (/ 0 1)))) into (/ 1 (* (pow y.im 4) x.re)) 4.895 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 4) x.re)) in y.im 4.895 * [taylor]: Taking taylor expansion of (* (pow y.im 4) x.re) in y.im 4.895 * [taylor]: Taking taylor expansion of (pow y.im 4) in y.im 4.895 * [taylor]: Taking taylor expansion of y.im in y.im 4.895 * [backup-simplify]: Simplify 0 into 0 4.895 * [backup-simplify]: Simplify 1 into 1 4.895 * [taylor]: Taking taylor expansion of x.re in y.im 4.895 * [backup-simplify]: Simplify x.re into x.re 4.895 * [backup-simplify]: Simplify (* 1 1) into 1 4.895 * [backup-simplify]: Simplify (* 1 1) into 1 4.895 * [backup-simplify]: Simplify (* 1 x.re) into x.re 4.895 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.900 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0 4.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.re)) into 0 4.902 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.903 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0 4.904 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.re))) into 0 4.904 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.905 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.905 * [taylor]: Taking taylor expansion of 0 in x.re 4.905 * [backup-simplify]: Simplify 0 into 0 4.906 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0 4.908 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.908 * [backup-simplify]: Simplify (- 0) into 0 4.908 * [taylor]: Taking taylor expansion of 0 in x.re 4.908 * [backup-simplify]: Simplify 0 into 0 4.909 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0 4.910 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.911 * [backup-simplify]: Simplify (- 0) into 0 4.911 * [taylor]: Taking taylor expansion of 0 in x.re 4.911 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))))) into 0 4.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.912 * [taylor]: Taking taylor expansion of 0 in x.re 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.912 * [taylor]: Taking taylor expansion of 0 in x.re 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [taylor]: Taking taylor expansion of 0 in x.im 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [taylor]: Taking taylor expansion of 0 in x.im 4.912 * [backup-simplify]: Simplify 0 into 0 4.912 * [taylor]: Taking taylor expansion of 0 in x.im 4.912 * [backup-simplify]: Simplify 0 into 0 4.913 * [taylor]: Taking taylor expansion of 0 in x.im 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [taylor]: Taking taylor expansion of 0 in x.im 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [taylor]: Taking taylor expansion of 0 in x.im 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [taylor]: Taking taylor expansion of 0 in x.im 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [taylor]: Taking taylor expansion of 0 in x.im 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [taylor]: Taking taylor expansion of 0 in x.im 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [taylor]: Taking taylor expansion of 0 in x.im 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 0 into 0 4.913 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify (/ (pow 1 1) (/ (+ (* (/ 1 (- y.re)) (/ 1 (- y.re))) (* (/ 1 (- y.im)) (/ 1 (- y.im)))) (+ (* (/ 1 (- y.re)) (/ 1 (- x.re))) (* (/ 1 (- y.im)) (/ 1 (- x.im)))))) into (/ (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) 4.914 * [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 (y.re y.im x.re x.im) around 0 4.914 * [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 4.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 4.914 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 4.914 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 4.914 * [taylor]: Taking taylor expansion of y.im in x.im 4.914 * [backup-simplify]: Simplify y.im into y.im 4.914 * [taylor]: Taking taylor expansion of x.im in x.im 4.914 * [backup-simplify]: Simplify 0 into 0 4.914 * [backup-simplify]: Simplify 1 into 1 4.914 * [backup-simplify]: Simplify (* y.im 0) into 0 4.914 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 4.914 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 4.914 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 4.914 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 4.914 * [taylor]: Taking taylor expansion of y.re in x.im 4.914 * [backup-simplify]: Simplify y.re into y.re 4.914 * [taylor]: Taking taylor expansion of x.re in x.im 4.914 * [backup-simplify]: Simplify x.re into x.re 4.914 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.914 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.914 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 4.914 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 4.914 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 4.914 * [taylor]: Taking taylor expansion of y.im in x.im 4.914 * [backup-simplify]: Simplify y.im into y.im 4.914 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.915 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.915 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 4.915 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 4.915 * [taylor]: Taking taylor expansion of y.re in x.im 4.915 * [backup-simplify]: Simplify y.re into y.re 4.915 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.915 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.915 * [backup-simplify]: Simplify (+ (/ 1 y.im) 0) into (/ 1 y.im) 4.915 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 4.915 * [backup-simplify]: Simplify (/ (/ 1 y.im) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* y.im (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) 4.915 * [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 4.915 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 4.915 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 4.915 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 4.915 * [taylor]: Taking taylor expansion of y.im in x.re 4.915 * [backup-simplify]: Simplify y.im into y.im 4.915 * [taylor]: Taking taylor expansion of x.im in x.re 4.915 * [backup-simplify]: Simplify x.im into x.im 4.915 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.915 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.915 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 4.915 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 4.915 * [taylor]: Taking taylor expansion of y.re in x.re 4.915 * [backup-simplify]: Simplify y.re into y.re 4.915 * [taylor]: Taking taylor expansion of x.re in x.re 4.915 * [backup-simplify]: Simplify 0 into 0 4.915 * [backup-simplify]: Simplify 1 into 1 4.916 * [backup-simplify]: Simplify (* y.re 0) into 0 4.916 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 4.916 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 4.916 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 4.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 4.916 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 4.916 * [taylor]: Taking taylor expansion of y.im in x.re 4.916 * [backup-simplify]: Simplify y.im into y.im 4.916 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.916 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.916 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 4.916 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 4.916 * [taylor]: Taking taylor expansion of y.re in x.re 4.916 * [backup-simplify]: Simplify y.re into y.re 4.916 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.916 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.916 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 4.917 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 4.917 * [backup-simplify]: Simplify (/ (/ 1 y.re) (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) into (/ 1 (* (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) y.re)) 4.917 * [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 4.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 4.917 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.917 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.917 * [taylor]: Taking taylor expansion of y.im in y.im 4.917 * [backup-simplify]: Simplify 0 into 0 4.917 * [backup-simplify]: Simplify 1 into 1 4.917 * [taylor]: Taking taylor expansion of x.im in y.im 4.917 * [backup-simplify]: Simplify x.im into x.im 4.917 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.921 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.921 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.921 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 4.921 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 4.921 * [taylor]: Taking taylor expansion of y.re in y.im 4.921 * [backup-simplify]: Simplify y.re into y.re 4.921 * [taylor]: Taking taylor expansion of x.re in y.im 4.921 * [backup-simplify]: Simplify x.re into x.re 4.921 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 4.922 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 4.922 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 4.922 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 4.922 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.922 * [taylor]: Taking taylor expansion of y.im in y.im 4.922 * [backup-simplify]: Simplify 0 into 0 4.922 * [backup-simplify]: Simplify 1 into 1 4.922 * [backup-simplify]: Simplify (* 1 1) into 1 4.923 * [backup-simplify]: Simplify (/ 1 1) into 1 4.923 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 4.923 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 4.923 * [taylor]: Taking taylor expansion of y.re in y.im 4.923 * [backup-simplify]: Simplify y.re into y.re 4.923 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 4.923 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 4.923 * [backup-simplify]: Simplify (+ (/ 1 x.im) 0) into (/ 1 x.im) 4.924 * [backup-simplify]: Simplify (+ 1 0) into 1 4.924 * [backup-simplify]: Simplify (/ (/ 1 x.im) 1) into (/ 1 x.im) 4.924 * [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 4.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.924 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.924 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.924 * [taylor]: Taking taylor expansion of y.im in y.re 4.924 * [backup-simplify]: Simplify y.im into y.im 4.924 * [taylor]: Taking taylor expansion of x.im in y.re 4.924 * [backup-simplify]: Simplify x.im into x.im 4.924 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.924 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.924 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.924 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.924 * [taylor]: Taking taylor expansion of y.re in y.re 4.924 * [backup-simplify]: Simplify 0 into 0 4.924 * [backup-simplify]: Simplify 1 into 1 4.924 * [taylor]: Taking taylor expansion of x.re in y.re 4.924 * [backup-simplify]: Simplify x.re into x.re 4.924 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.925 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.925 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.925 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.925 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.925 * [taylor]: Taking taylor expansion of y.im in y.re 4.925 * [backup-simplify]: Simplify y.im into y.im 4.925 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.925 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.925 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.925 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.925 * [taylor]: Taking taylor expansion of y.re in y.re 4.925 * [backup-simplify]: Simplify 0 into 0 4.925 * [backup-simplify]: Simplify 1 into 1 4.926 * [backup-simplify]: Simplify (* 1 1) into 1 4.926 * [backup-simplify]: Simplify (/ 1 1) into 1 4.926 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 4.927 * [backup-simplify]: Simplify (+ 0 1) into 1 4.927 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re) 4.927 * [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 4.927 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 4.927 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 4.927 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 4.927 * [taylor]: Taking taylor expansion of y.im in y.re 4.927 * [backup-simplify]: Simplify y.im into y.im 4.927 * [taylor]: Taking taylor expansion of x.im in y.re 4.927 * [backup-simplify]: Simplify x.im into x.im 4.927 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 4.927 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 4.927 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 4.927 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 4.927 * [taylor]: Taking taylor expansion of y.re in y.re 4.927 * [backup-simplify]: Simplify 0 into 0 4.927 * [backup-simplify]: Simplify 1 into 1 4.928 * [taylor]: Taking taylor expansion of x.re in y.re 4.928 * [backup-simplify]: Simplify x.re into x.re 4.928 * [backup-simplify]: Simplify (* 0 x.re) into 0 4.928 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 4.928 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.928 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 4.928 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 4.928 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 4.928 * [taylor]: Taking taylor expansion of y.im in y.re 4.928 * [backup-simplify]: Simplify y.im into y.im 4.928 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 4.929 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 4.929 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 4.929 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 4.929 * [taylor]: Taking taylor expansion of y.re in y.re 4.929 * [backup-simplify]: Simplify 0 into 0 4.929 * [backup-simplify]: Simplify 1 into 1 4.929 * [backup-simplify]: Simplify (* 1 1) into 1 4.930 * [backup-simplify]: Simplify (/ 1 1) into 1 4.930 * [backup-simplify]: Simplify (+ 0 (/ 1 x.re)) into (/ 1 x.re) 4.930 * [backup-simplify]: Simplify (+ 0 1) into 1 4.930 * [backup-simplify]: Simplify (/ (/ 1 x.re) 1) into (/ 1 x.re) 4.930 * [taylor]: Taking taylor expansion of (/ 1 x.re) in y.im 4.930 * [taylor]: Taking taylor expansion of x.re in y.im 4.930 * [backup-simplify]: Simplify x.re into x.re 4.931 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.931 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.931 * [taylor]: Taking taylor expansion of 0 in x.re 4.931 * [backup-simplify]: Simplify 0 into 0 4.932 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.re))) into 0 4.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.932 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 4.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 4.934 * [backup-simplify]: Simplify (+ 0 0) into 0 4.934 * [backup-simplify]: Simplify (- (/ (/ 1 (* y.im x.im)) 1) (+ (* (/ 1 x.re) (/ 0 1)))) into (/ 1 (* y.im x.im)) 4.934 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 4.934 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 4.934 * [taylor]: Taking taylor expansion of y.im in y.im 4.935 * [backup-simplify]: Simplify 0 into 0 4.935 * [backup-simplify]: Simplify 1 into 1 4.935 * [taylor]: Taking taylor expansion of x.im in y.im 4.935 * [backup-simplify]: Simplify x.im into x.im 4.935 * [backup-simplify]: Simplify (* 0 x.im) into 0 4.935 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 4.935 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.936 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.im)))) into 0 4.937 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 x.im))) into 0 4.937 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 4.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.938 * [taylor]: Taking taylor expansion of 0 in x.re 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.938 * [taylor]: Taking taylor expansion of 0 in x.re 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [taylor]: Taking taylor expansion of 0 in x.im 4.938 * [backup-simplify]: Simplify 0 into 0 4.938 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 4.938 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 4.939 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.940 * [backup-simplify]: Simplify (+ 0 0) into 0 4.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.942 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 4.943 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 1 x.re) (/ (/ 1 (pow y.im 2)) 1)) (* (/ 1 (* y.im x.im)) (/ 0 1)))) into (- (/ 1 (* (pow y.im 2) x.re))) 4.943 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y.im 2) x.re))) in y.im 4.943 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 2) x.re)) in y.im 4.943 * [taylor]: Taking taylor expansion of (* (pow y.im 2) x.re) in y.im 4.943 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 4.943 * [taylor]: Taking taylor expansion of y.im in y.im 4.943 * [backup-simplify]: Simplify 0 into 0 4.943 * [backup-simplify]: Simplify 1 into 1 4.944 * [taylor]: Taking taylor expansion of x.re in y.im 4.944 * [backup-simplify]: Simplify x.re into x.re 4.944 * [backup-simplify]: Simplify (* 1 1) into 1 4.944 * [backup-simplify]: Simplify (* 1 x.re) into x.re 4.944 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.948 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0 4.948 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.re)) into 0 4.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.re))) into 0 4.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.950 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.950 * [backup-simplify]: Simplify (- 0) into 0 4.950 * [taylor]: Taking taylor expansion of 0 in x.re 4.950 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0 4.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.952 * [taylor]: Taking taylor expansion of 0 in x.re 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.952 * [taylor]: Taking taylor expansion of 0 in x.re 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [taylor]: Taking taylor expansion of 0 in x.im 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [taylor]: Taking taylor expansion of 0 in x.im 4.952 * [backup-simplify]: Simplify 0 into 0 4.952 * [taylor]: Taking taylor expansion of 0 in x.im 4.952 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify 0 into 0 4.953 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 4.953 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 4.955 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0 4.955 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.955 * [backup-simplify]: Simplify (+ 0 0) into 0 4.955 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 4.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 4.957 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.958 * [backup-simplify]: Simplify (+ 0 0) into 0 4.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 1 x.re) (/ 0 1)) (* (/ 1 (* y.im x.im)) (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (* (pow y.im 2) x.re))) (/ 0 1)))) into (- (/ 1 (* (pow y.im 3) x.im))) 4.960 * [taylor]: Taking taylor expansion of (- (/ 1 (* (pow y.im 3) x.im))) in y.im 4.960 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 3) x.im)) in y.im 4.960 * [taylor]: Taking taylor expansion of (* (pow y.im 3) x.im) in y.im 4.960 * [taylor]: Taking taylor expansion of (pow y.im 3) in y.im 4.960 * [taylor]: Taking taylor expansion of y.im in y.im 4.960 * [backup-simplify]: Simplify 0 into 0 4.960 * [backup-simplify]: Simplify 1 into 1 4.960 * [taylor]: Taking taylor expansion of x.im in y.im 4.960 * [backup-simplify]: Simplify x.im into x.im 4.961 * [backup-simplify]: Simplify (* 1 1) into 1 4.961 * [backup-simplify]: Simplify (* 1 1) into 1 4.961 * [backup-simplify]: Simplify (* 1 x.im) into x.im 4.961 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 4.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.962 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.964 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.965 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.966 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.968 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.969 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.971 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))) into 0 4.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.im)) into 0 4.972 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)))) into 0 4.973 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 4.974 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.im))) into 0 4.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.974 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.975 * [backup-simplify]: Simplify (- 0) into 0 4.975 * [taylor]: Taking taylor expansion of 0 in x.re 4.975 * [backup-simplify]: Simplify 0 into 0 4.976 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.978 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0 4.978 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.978 * [backup-simplify]: Simplify (- 0) into 0 4.978 * [taylor]: Taking taylor expansion of 0 in x.re 4.979 * [backup-simplify]: Simplify 0 into 0 4.980 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0 4.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 4.981 * [taylor]: Taking taylor expansion of 0 in x.re 4.981 * [backup-simplify]: Simplify 0 into 0 4.981 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.981 * [taylor]: Taking taylor expansion of 0 in x.re 4.981 * [backup-simplify]: Simplify 0 into 0 4.981 * [taylor]: Taking taylor expansion of 0 in x.im 4.981 * [backup-simplify]: Simplify 0 into 0 4.981 * [taylor]: Taking taylor expansion of 0 in x.im 4.981 * [backup-simplify]: Simplify 0 into 0 4.981 * [taylor]: Taking taylor expansion of 0 in x.im 4.981 * [backup-simplify]: Simplify 0 into 0 4.982 * [taylor]: Taking taylor expansion of 0 in x.im 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [taylor]: Taking taylor expansion of 0 in x.im 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [taylor]: Taking taylor expansion of 0 in x.im 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify 0 into 0 4.982 * [backup-simplify]: Simplify 0 into 0 4.983 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 4.983 * [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 4.985 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0 4.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 4.986 * [backup-simplify]: Simplify (+ 0 0) into 0 4.986 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 4.986 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 4.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 4.988 * [backup-simplify]: Simplify (+ 0 0) into 0 4.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (/ 1 x.re) (/ 0 1)) (* (/ 1 (* y.im x.im)) (/ 0 1)) (* (- (/ 1 (* (pow y.im 2) x.re))) (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (* (pow y.im 3) x.im))) (/ 0 1)))) into (/ 1 (* (pow y.im 4) x.re)) 4.990 * [taylor]: Taking taylor expansion of (/ 1 (* (pow y.im 4) x.re)) in y.im 4.990 * [taylor]: Taking taylor expansion of (* (pow y.im 4) x.re) in y.im 4.990 * [taylor]: Taking taylor expansion of (pow y.im 4) in y.im 4.990 * [taylor]: Taking taylor expansion of y.im in y.im 4.990 * [backup-simplify]: Simplify 0 into 0 4.990 * [backup-simplify]: Simplify 1 into 1 4.990 * [taylor]: Taking taylor expansion of x.re in y.im 4.990 * [backup-simplify]: Simplify x.re into x.re 4.990 * [backup-simplify]: Simplify (* 1 1) into 1 4.990 * [backup-simplify]: Simplify (* 1 1) into 1 4.990 * [backup-simplify]: Simplify (* 1 x.re) into x.re 4.990 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 4.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.991 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 4.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 4.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 4.994 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.995 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 4.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 4.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0 4.998 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 x.re)) into 0 4.998 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)))) into 0 4.999 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re))))) into 0 5.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 x.re))) into 0 5.000 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 5.001 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))) into 0 5.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 5.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 5.001 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 5.001 * [taylor]: Taking taylor expansion of 0 in x.re 5.001 * [backup-simplify]: Simplify 0 into 0 5.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.003 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.004 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))))) into 0 5.004 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 5.004 * [backup-simplify]: Simplify (- 0) into 0 5.004 * [taylor]: Taking taylor expansion of 0 in x.re 5.004 * [backup-simplify]: Simplify 0 into 0 5.005 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 5.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.re)))))) into 0 5.007 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 5.007 * [backup-simplify]: Simplify (- 0) into 0 5.007 * [taylor]: Taking taylor expansion of 0 in x.re 5.007 * [backup-simplify]: Simplify 0 into 0 5.008 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im))))))) into 0 5.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.im) (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)) (* 0 (/ 0 x.im)))) into 0 5.009 * [taylor]: Taking taylor expansion of 0 in x.re 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [backup-simplify]: Simplify (- (+ (* (/ 1 x.re) (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)) (* 0 (/ 0 x.re)))) into 0 5.009 * [taylor]: Taking taylor expansion of 0 in x.re 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [taylor]: Taking taylor expansion of 0 in x.im 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [taylor]: Taking taylor expansion of 0 in x.im 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [taylor]: Taking taylor expansion of 0 in x.im 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [taylor]: Taking taylor expansion of 0 in x.im 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [taylor]: Taking taylor expansion of 0 in x.im 5.009 * [backup-simplify]: Simplify 0 into 0 5.009 * [taylor]: Taking taylor expansion of 0 in x.im 5.009 * [backup-simplify]: Simplify 0 into 0 5.010 * [taylor]: Taking taylor expansion of 0 in x.im 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [taylor]: Taking taylor expansion of 0 in x.im 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [taylor]: Taking taylor expansion of 0 in x.im 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [taylor]: Taking taylor expansion of 0 in x.im 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * [backup-simplify]: Simplify 0 into 0 5.010 * * * [progress]: simplifying candidates 5.014 * [simplify]: Simplifying: (- (log (+ (* y.re y.re) (* y.im y.im))) (log (+ (* y.re x.re) (* y.im x.im)))) (log (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))) (exp (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.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))) (* (* (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re x.re) (* y.im x.im))) (+ (* y.re x.re) (* y.im x.im)))) (* (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))) (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))))) (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))) (* (* (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))) (sqrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))) (sqrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))) (- (+ (* y.re 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y.im)) (+ (* y.re x.re) (* y.im x.im))) (pow 1 1)) (/ (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))) (pow 1 (/ 1 2))) (/ (pow 1 1) (+ (* 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)) 0 0 0 5.021 * * [simplify]: Extracting # 0 : cost 0 5.022 * * [simplify]: Extracting # 1 : cost 0 5.022 * * [simplify]: Extracting # 2 : cost 0 5.023 * * [simplify]: Extracting # 3 : cost 0 5.023 * * [simplify]: Extracting # 4 : cost 0 5.024 * * [simplify]: Extracting # 5 : cost 0 5.024 * * [simplify]: Extracting # 6 : cost 0 5.024 * * [simplify]: iteration 0 : 306 enodes (cost 6534 ) 5.192 * * [simplify]: Extracting # 0 : cost 0 5.194 * * [simplify]: Extracting # 1 : cost 0 5.195 * * [simplify]: Extracting # 2 : cost 0 5.196 * * [simplify]: Extracting # 3 : cost 0 5.197 * * [simplify]: Extracting # 4 : cost 0 5.198 * * [simplify]: iteration 1 : 596 enodes (cost 5517 ) 5.414 * * [simplify]: Extracting # 0 : cost 0 5.416 * * [simplify]: Extracting # 1 : cost 0 5.417 * * [simplify]: Extracting # 2 : cost 0 5.418 * * [simplify]: Extracting # 3 : cost 0 5.420 * * [simplify]: Extracting # 4 : cost 0 5.421 * * [simplify]: iteration 2 : 1334 enodes (cost 5101 ) 6.422 * * [simplify]: Extracting # 0 : cost 0 6.430 * * [simplify]: Extracting # 1 : cost 0 6.433 * * [simplify]: Extracting # 2 : cost 0 6.437 * * [simplify]: Extracting # 3 : cost 0 6.440 * * [simplify]: Extracting # 4 : cost 0 6.443 * * [simplify]: iteration 3 : 3909 enodes (cost 5041 ) 7.936 * * [simplify]: Extracting # 0 : cost 0 7.942 * * [simplify]: Extracting # 1 : cost 0 7.946 * * [simplify]: Extracting # 2 : cost 0 7.950 * * [simplify]: Extracting # 3 : cost 0 7.955 * * [simplify]: Extracting # 4 : cost 0 7.964 * * [simplify]: iteration done: 5000 enodes (cost 5041 ) 7.966 * [simplify]: Simplified to: (log (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))) (log (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im 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y.im x.im))) (/ 1 (* (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))) (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))))) (/ 1 (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))))) (/ 1 (sqrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))))) (/ 1 (sqrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))))) (/ (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.re x.re) (* y.im x.im)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (+ (* y.re x.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (/ (cbrt (+ (* y.re x.re) (* y.im x.im))) (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re x.re) (* y.im x.im))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (+ (* y.re y.re) (* y.im y.im))) 1 (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) 1 (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* y.im y.im) (* y.re y.re))) (+ (* y.re x.re) (* y.im x.im)) (/ (+ (pow (* y.re x.re) 3) (pow (* y.im x.im) 3)) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* (* y.re x.re) (* y.re x.re)) (* (* y.im x.im) (- (* y.im x.im) (* y.re x.re))))) (* (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) (- (* y.re x.re) (* y.im x.im))) (/ 1 (- (* y.re x.re) (* y.im x.im))) (/ 1 (* (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))) (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))))) (/ 1 (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))))) (/ 1 (sqrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))))) (/ 1 (sqrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))))) (/ (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.re x.re) (* y.im x.im)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (+ (* y.re x.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (/ (cbrt (+ (* y.re x.re) (* y.im x.im))) (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re x.re) (* y.im x.im))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (+ (* y.re y.re) (* y.im y.im))) 1 (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) 1 (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* y.im y.im) (* y.re y.re))) (+ (* y.re x.re) (* y.im x.im)) (/ (+ (pow (* y.re x.re) 3) (pow (* y.im x.im) 3)) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* (* y.re x.re) (* y.re x.re)) (* (* y.im x.im) (- (* y.im x.im) (* y.re x.re))))) (* (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) (- (* y.re x.re) (* y.im x.im))) (/ 1 (- (* y.re x.re) (* y.im x.im))) (/ 1 (* (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))) (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))))) (/ 1 (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))))) (/ 1 (sqrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))))) (/ 1 (sqrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))))) (/ (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.re x.re) (* y.im x.im)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (+ (* y.re x.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (/ (cbrt (+ (* y.re x.re) (* y.im x.im))) (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re x.re) (* y.im x.im))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (+ (* y.re y.re) (* y.im y.im))) 1 (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) 1 (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* y.im y.im) (* y.re y.re))) (+ (* y.re x.re) (* y.im x.im)) (/ (+ (pow (* y.re x.re) 3) (pow (* y.im x.im) 3)) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* (* y.re x.re) (* y.re x.re)) (* (* y.im x.im) (- (* y.im x.im) (* y.re x.re))))) (* (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) (- (* y.re x.re) (* y.im x.im))) (/ 1 (- (* y.re x.re) (* y.im x.im))) (/ 1 (* (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))) (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))))) (/ 1 (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))))) (/ 1 (sqrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))))) (/ 1 (sqrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))))) (/ (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (+ (* y.re x.re) (* y.im x.im)) (cbrt (+ (* y.re y.re) (* y.im y.im)))) (/ (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (cbrt (+ (* y.re x.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (+ (* y.re x.re) (* y.im x.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (/ (cbrt (+ (* y.re x.re) (* y.im x.im))) (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (* y.re x.re) (* y.im x.im))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (+ (* y.re y.re) (* y.im y.im))) 1 (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) 1 (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* y.im y.im) (* y.re y.re))) (+ (* y.re x.re) (* y.im x.im)) (/ (+ (pow (* y.re x.re) 3) (pow (* y.im x.im) 3)) (+ (* y.re y.re) (* y.im y.im))) (/ 1 (+ (* (* y.re x.re) (* y.re x.re)) (* (* y.im x.im) (- (* y.im x.im) (* y.re x.re))))) (* (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) (- (* y.re x.re) (* y.im x.im))) (/ 1 (- (* y.re x.re) (* y.im x.im))) (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))) (/ 1 (* (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))) (cbrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im)))))) (/ 1 (sqrt (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))))) (/ (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ 1 (* (cbrt (+ (* y.re y.re) (* y.im y.im))) (cbrt (+ (* y.re y.re) (* y.im y.im))))) (/ (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ (sqrt (+ (* y.re x.re) (* y.im x.im))) (sqrt (+ (* y.re y.re) (* y.im y.im)))) (/ 1 (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (+ (* y.re x.re) (* y.im x.im))) (cbrt (+ (* y.re x.re) (* y.im x.im)))) (sqrt (+ (* y.re x.re) (* y.im x.im))) 1 1 (/ 1 (+ (* y.im y.im) (* y.re y.re))) (/ (+ (pow (* y.re x.re) 3) (pow (* y.im x.im) 3)) (+ (* y.re y.re) (* y.im y.im))) (* (/ (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re y.re) (* y.im y.im))) (- (* y.re x.re) (* y.im x.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))) (/ (+ (* y.re y.re) (* y.im y.im)) (+ (* y.re x.re) (* y.im x.im))) (/ 1 (+ (* y.im y.im) (* y.re y.re))) 0 0 0 0 (+ (* y.re x.re) (* y.im x.im)) (+ (* y.re x.re) (* y.im x.im)) 0 0 0 7.967 * * * [progress]: adding candidates to table 8.339 * * [progress]: iteration 4 / 4 8.339 * * * [progress]: picking best candidate 8.382 * * * * [pick]: Picked # 8.382 * * * [progress]: localizing error 8.411 * * * [progress]: generating rewritten candidates 8.411 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 8.425 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1 2) 8.439 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 8.481 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 8.492 * * * [progress]: generating series expansions 8.492 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 8.493 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 8.493 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im) around 0 8.493 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 8.493 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 8.493 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 8.493 * [taylor]: Taking taylor expansion of y.im in y.im 8.493 * [backup-simplify]: Simplify 0 into 0 8.493 * [backup-simplify]: Simplify 1 into 1 8.493 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 8.493 * [taylor]: Taking taylor expansion of y.re in y.im 8.493 * [backup-simplify]: Simplify y.re into y.re 8.493 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.493 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 8.493 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 8.493 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 8.494 * [backup-simplify]: Simplify (+ 0 0) into 0 8.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 8.494 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 8.494 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 8.494 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.494 * [taylor]: Taking taylor expansion of y.im in y.re 8.494 * [backup-simplify]: Simplify y.im into y.im 8.494 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.494 * [taylor]: Taking taylor expansion of y.re in y.re 8.494 * [backup-simplify]: Simplify 0 into 0 8.494 * [backup-simplify]: Simplify 1 into 1 8.494 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.494 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 8.494 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 8.494 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.494 * [backup-simplify]: Simplify (+ 0 0) into 0 8.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 8.495 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 8.495 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 8.495 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.495 * [taylor]: Taking taylor expansion of y.im in y.re 8.495 * [backup-simplify]: Simplify y.im into y.im 8.495 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.495 * [taylor]: Taking taylor expansion of y.re in y.re 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 1 into 1 8.495 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.495 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 8.495 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 8.495 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.495 * [backup-simplify]: Simplify (+ 0 0) into 0 8.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 8.495 * [taylor]: Taking taylor expansion of y.im in y.im 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 1 into 1 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [taylor]: Taking taylor expansion of 0 in y.im 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 0 into 0 8.495 * [backup-simplify]: Simplify 1 into 1 8.496 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 8.496 * [backup-simplify]: Simplify (* 1 1) into 1 8.496 * [backup-simplify]: Simplify (+ 0 1) into 1 8.497 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 8.497 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im 8.497 * [taylor]: Taking taylor expansion of 1/2 in y.im 8.497 * [backup-simplify]: Simplify 1/2 into 1/2 8.497 * [taylor]: Taking taylor expansion of y.im in y.im 8.497 * [backup-simplify]: Simplify 0 into 0 8.497 * [backup-simplify]: Simplify 1 into 1 8.497 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.498 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify 0 into 0 8.498 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 8.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.499 * [backup-simplify]: Simplify (+ 0 0) into 0 8.499 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0 8.499 * [taylor]: Taking taylor expansion of 0 in y.im 8.499 * [backup-simplify]: Simplify 0 into 0 8.499 * [backup-simplify]: Simplify 0 into 0 8.500 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.500 * [backup-simplify]: Simplify 0 into 0 8.500 * [backup-simplify]: Simplify 0 into 0 8.500 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im 8.500 * [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)))) 8.500 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 8.500 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 8.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 8.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 8.500 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 8.500 * [taylor]: Taking taylor expansion of y.im in y.im 8.500 * [backup-simplify]: Simplify 0 into 0 8.500 * [backup-simplify]: Simplify 1 into 1 8.500 * [backup-simplify]: Simplify (* 1 1) into 1 8.500 * [backup-simplify]: Simplify (/ 1 1) into 1 8.500 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 8.501 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 8.501 * [taylor]: Taking taylor expansion of y.re in y.im 8.501 * [backup-simplify]: Simplify y.re into y.re 8.501 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.501 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 8.501 * [backup-simplify]: Simplify (+ 1 0) into 1 8.501 * [backup-simplify]: Simplify (sqrt 1) into 1 8.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.503 * [backup-simplify]: Simplify (+ 0 0) into 0 8.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.504 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 8.504 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 8.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 8.504 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.504 * [taylor]: Taking taylor expansion of y.im in y.re 8.504 * [backup-simplify]: Simplify y.im into y.im 8.504 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.504 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.504 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 8.504 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.504 * [taylor]: Taking taylor expansion of y.re in y.re 8.504 * [backup-simplify]: Simplify 0 into 0 8.504 * [backup-simplify]: Simplify 1 into 1 8.504 * [backup-simplify]: Simplify (* 1 1) into 1 8.505 * [backup-simplify]: Simplify (/ 1 1) into 1 8.505 * [backup-simplify]: Simplify (+ 0 1) into 1 8.506 * [backup-simplify]: Simplify (sqrt 1) into 1 8.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.507 * [backup-simplify]: Simplify (+ 0 0) into 0 8.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.508 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 8.508 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 8.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 8.508 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.508 * [taylor]: Taking taylor expansion of y.im in y.re 8.508 * [backup-simplify]: Simplify y.im into y.im 8.508 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.508 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.508 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 8.508 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.508 * [taylor]: Taking taylor expansion of y.re in y.re 8.508 * [backup-simplify]: Simplify 0 into 0 8.508 * [backup-simplify]: Simplify 1 into 1 8.509 * [backup-simplify]: Simplify (* 1 1) into 1 8.509 * [backup-simplify]: Simplify (/ 1 1) into 1 8.509 * [backup-simplify]: Simplify (+ 0 1) into 1 8.510 * [backup-simplify]: Simplify (sqrt 1) into 1 8.510 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.511 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.511 * [backup-simplify]: Simplify (+ 0 0) into 0 8.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.512 * [taylor]: Taking taylor expansion of 1 in y.im 8.512 * [backup-simplify]: Simplify 1 into 1 8.512 * [taylor]: Taking taylor expansion of 0 in y.im 8.512 * [backup-simplify]: Simplify 0 into 0 8.512 * [backup-simplify]: Simplify 1 into 1 8.513 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.514 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.514 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 8.515 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 8.515 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 8.515 * [taylor]: Taking taylor expansion of 1/2 in y.im 8.515 * [backup-simplify]: Simplify 1/2 into 1/2 8.515 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 8.515 * [taylor]: Taking taylor expansion of y.im in y.im 8.516 * [backup-simplify]: Simplify 0 into 0 8.516 * [backup-simplify]: Simplify 1 into 1 8.516 * [backup-simplify]: Simplify (* 1 1) into 1 8.516 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.517 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify 0 into 0 8.518 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.518 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.519 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.520 * [backup-simplify]: Simplify (+ 0 0) into 0 8.521 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 8.521 * [taylor]: Taking taylor expansion of 0 in y.im 8.521 * [backup-simplify]: Simplify 0 into 0 8.522 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.523 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.523 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify 0 into 0 8.523 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re 8.523 * [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)))) 8.524 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 8.524 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 8.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 8.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 8.524 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 8.524 * [taylor]: Taking taylor expansion of y.im in y.im 8.524 * [backup-simplify]: Simplify 0 into 0 8.524 * [backup-simplify]: Simplify 1 into 1 8.524 * [backup-simplify]: Simplify (* 1 1) into 1 8.524 * [backup-simplify]: Simplify (/ 1 1) into 1 8.524 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 8.524 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 8.524 * [taylor]: Taking taylor expansion of y.re in y.im 8.525 * [backup-simplify]: Simplify y.re into y.re 8.525 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.525 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 8.525 * [backup-simplify]: Simplify (+ 1 0) into 1 8.526 * [backup-simplify]: Simplify (sqrt 1) into 1 8.526 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.527 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.527 * [backup-simplify]: Simplify (+ 0 0) into 0 8.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 8.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 8.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 8.528 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.528 * [taylor]: Taking taylor expansion of y.im in y.re 8.528 * [backup-simplify]: Simplify y.im into y.im 8.528 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.528 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.528 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 8.528 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.528 * [taylor]: Taking taylor expansion of y.re in y.re 8.528 * [backup-simplify]: Simplify 0 into 0 8.528 * [backup-simplify]: Simplify 1 into 1 8.529 * [backup-simplify]: Simplify (* 1 1) into 1 8.529 * [backup-simplify]: Simplify (/ 1 1) into 1 8.530 * [backup-simplify]: Simplify (+ 0 1) into 1 8.530 * [backup-simplify]: Simplify (sqrt 1) into 1 8.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.531 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.532 * [backup-simplify]: Simplify (+ 0 0) into 0 8.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.532 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 8.532 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 8.532 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 8.532 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.532 * [taylor]: Taking taylor expansion of y.im in y.re 8.532 * [backup-simplify]: Simplify y.im into y.im 8.533 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.533 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.533 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 8.533 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.533 * [taylor]: Taking taylor expansion of y.re in y.re 8.533 * [backup-simplify]: Simplify 0 into 0 8.533 * [backup-simplify]: Simplify 1 into 1 8.533 * [backup-simplify]: Simplify (* 1 1) into 1 8.534 * [backup-simplify]: Simplify (/ 1 1) into 1 8.534 * [backup-simplify]: Simplify (+ 0 1) into 1 8.534 * [backup-simplify]: Simplify (sqrt 1) into 1 8.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.536 * [backup-simplify]: Simplify (+ 0 0) into 0 8.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.537 * [taylor]: Taking taylor expansion of 1 in y.im 8.537 * [backup-simplify]: Simplify 1 into 1 8.537 * [taylor]: Taking taylor expansion of 0 in y.im 8.537 * [backup-simplify]: Simplify 0 into 0 8.537 * [backup-simplify]: Simplify 1 into 1 8.538 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.539 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 8.540 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 8.540 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 8.541 * [taylor]: Taking taylor expansion of 1/2 in y.im 8.541 * [backup-simplify]: Simplify 1/2 into 1/2 8.541 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 8.541 * [taylor]: Taking taylor expansion of y.im in y.im 8.541 * [backup-simplify]: Simplify 0 into 0 8.541 * [backup-simplify]: Simplify 1 into 1 8.541 * [backup-simplify]: Simplify (* 1 1) into 1 8.541 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.542 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.543 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify 0 into 0 8.543 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.543 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.544 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.545 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.546 * [backup-simplify]: Simplify (+ 0 0) into 0 8.546 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 8.546 * [taylor]: Taking taylor expansion of 0 in y.im 8.546 * [backup-simplify]: Simplify 0 into 0 8.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.548 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify 0 into 0 8.548 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re) 8.549 * * * * [progress]: [ 2 / 4 ] generating series at (2 1 2) 8.549 * [backup-simplify]: Simplify (sqrt (+ (* y.re y.re) (* y.im y.im))) into (sqrt (+ (pow y.im 2) (pow y.re 2))) 8.549 * [approximate]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in (y.re y.im) around 0 8.549 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.im 8.549 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 8.549 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 8.549 * [taylor]: Taking taylor expansion of y.im in y.im 8.549 * [backup-simplify]: Simplify 0 into 0 8.549 * [backup-simplify]: Simplify 1 into 1 8.549 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 8.549 * [taylor]: Taking taylor expansion of y.re in y.im 8.549 * [backup-simplify]: Simplify y.re into y.re 8.549 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.549 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 8.549 * [backup-simplify]: Simplify (sqrt (pow y.re 2)) into y.re 8.550 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 8.550 * [backup-simplify]: Simplify (+ 0 0) into 0 8.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.re 2)))) into 0 8.550 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 8.550 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 8.550 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.550 * [taylor]: Taking taylor expansion of y.im in y.re 8.550 * [backup-simplify]: Simplify y.im into y.im 8.550 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.550 * [taylor]: Taking taylor expansion of y.re in y.re 8.550 * [backup-simplify]: Simplify 0 into 0 8.550 * [backup-simplify]: Simplify 1 into 1 8.550 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.551 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 8.551 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 8.551 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.551 * [backup-simplify]: Simplify (+ 0 0) into 0 8.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 8.551 * [taylor]: Taking taylor expansion of (sqrt (+ (pow y.im 2) (pow y.re 2))) in y.re 8.551 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 8.551 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.551 * [taylor]: Taking taylor expansion of y.im in y.re 8.551 * [backup-simplify]: Simplify y.im into y.im 8.551 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.552 * [taylor]: Taking taylor expansion of y.re in y.re 8.552 * [backup-simplify]: Simplify 0 into 0 8.552 * [backup-simplify]: Simplify 1 into 1 8.552 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.552 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 8.552 * [backup-simplify]: Simplify (sqrt (pow y.im 2)) into y.im 8.552 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.552 * [backup-simplify]: Simplify (+ 0 0) into 0 8.553 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow y.im 2)))) into 0 8.553 * [taylor]: Taking taylor expansion of y.im in y.im 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 1 into 1 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [taylor]: Taking taylor expansion of 0 in y.im 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 0 into 0 8.553 * [backup-simplify]: Simplify 1 into 1 8.553 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 8.554 * [backup-simplify]: Simplify (* 1 1) into 1 8.554 * [backup-simplify]: Simplify (+ 0 1) into 1 8.555 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 y.im)) into (/ 1/2 y.im) 8.555 * [taylor]: Taking taylor expansion of (/ 1/2 y.im) in y.im 8.555 * [taylor]: Taking taylor expansion of 1/2 in y.im 8.555 * [backup-simplify]: Simplify 1/2 into 1/2 8.555 * [taylor]: Taking taylor expansion of y.im in y.im 8.555 * [backup-simplify]: Simplify 0 into 0 8.555 * [backup-simplify]: Simplify 1 into 1 8.555 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.557 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.557 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify 0 into 0 8.557 * [backup-simplify]: Simplify 0 into 0 8.558 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 8.558 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.559 * [backup-simplify]: Simplify (+ 0 0) into 0 8.559 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 y.im))))) (* 2 y.im)) into 0 8.559 * [taylor]: Taking taylor expansion of 0 in y.im 8.559 * [backup-simplify]: Simplify 0 into 0 8.559 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify 0 into 0 8.560 * [backup-simplify]: Simplify (* 1 (* y.im 1)) into y.im 8.560 * [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)))) 8.560 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 8.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 8.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 8.560 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 8.560 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 8.560 * [taylor]: Taking taylor expansion of y.im in y.im 8.561 * [backup-simplify]: Simplify 0 into 0 8.561 * [backup-simplify]: Simplify 1 into 1 8.561 * [backup-simplify]: Simplify (* 1 1) into 1 8.561 * [backup-simplify]: Simplify (/ 1 1) into 1 8.561 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 8.561 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 8.561 * [taylor]: Taking taylor expansion of y.re in y.im 8.561 * [backup-simplify]: Simplify y.re into y.re 8.561 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.562 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 8.562 * [backup-simplify]: Simplify (+ 1 0) into 1 8.562 * [backup-simplify]: Simplify (sqrt 1) into 1 8.563 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.564 * [backup-simplify]: Simplify (+ 0 0) into 0 8.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 8.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 8.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 8.565 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.565 * [taylor]: Taking taylor expansion of y.im in y.re 8.565 * [backup-simplify]: Simplify y.im into y.im 8.565 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.565 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.565 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 8.565 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.565 * [taylor]: Taking taylor expansion of y.re in y.re 8.565 * [backup-simplify]: Simplify 0 into 0 8.565 * [backup-simplify]: Simplify 1 into 1 8.572 * [backup-simplify]: Simplify (* 1 1) into 1 8.573 * [backup-simplify]: Simplify (/ 1 1) into 1 8.573 * [backup-simplify]: Simplify (+ 0 1) into 1 8.574 * [backup-simplify]: Simplify (sqrt 1) into 1 8.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.575 * [backup-simplify]: Simplify (+ 0 0) into 0 8.576 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.576 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 8.576 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 8.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 8.576 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.576 * [taylor]: Taking taylor expansion of y.im in y.re 8.576 * [backup-simplify]: Simplify y.im into y.im 8.576 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.576 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.576 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 8.576 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.577 * [taylor]: Taking taylor expansion of y.re in y.re 8.577 * [backup-simplify]: Simplify 0 into 0 8.577 * [backup-simplify]: Simplify 1 into 1 8.577 * [backup-simplify]: Simplify (* 1 1) into 1 8.577 * [backup-simplify]: Simplify (/ 1 1) into 1 8.578 * [backup-simplify]: Simplify (+ 0 1) into 1 8.578 * [backup-simplify]: Simplify (sqrt 1) into 1 8.578 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.579 * [backup-simplify]: Simplify (+ 0 0) into 0 8.579 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.579 * [taylor]: Taking taylor expansion of 1 in y.im 8.579 * [backup-simplify]: Simplify 1 into 1 8.579 * [taylor]: Taking taylor expansion of 0 in y.im 8.579 * [backup-simplify]: Simplify 0 into 0 8.579 * [backup-simplify]: Simplify 1 into 1 8.580 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.581 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 8.581 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 8.581 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 8.582 * [taylor]: Taking taylor expansion of 1/2 in y.im 8.582 * [backup-simplify]: Simplify 1/2 into 1/2 8.582 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 8.582 * [taylor]: Taking taylor expansion of y.im in y.im 8.582 * [backup-simplify]: Simplify 0 into 0 8.582 * [backup-simplify]: Simplify 1 into 1 8.582 * [backup-simplify]: Simplify (* 1 1) into 1 8.582 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.583 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.583 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify 0 into 0 8.583 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.583 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.584 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.584 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.585 * [backup-simplify]: Simplify (+ 0 0) into 0 8.585 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 8.585 * [taylor]: Taking taylor expansion of 0 in y.im 8.585 * [backup-simplify]: Simplify 0 into 0 8.586 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.586 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.586 * [backup-simplify]: Simplify 0 into 0 8.586 * [backup-simplify]: Simplify 0 into 0 8.586 * [backup-simplify]: Simplify 0 into 0 8.586 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 y.re)))) into y.re 8.587 * [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)))) 8.587 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in (y.re y.im) around 0 8.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 8.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 8.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 8.587 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 8.587 * [taylor]: Taking taylor expansion of y.im in y.im 8.587 * [backup-simplify]: Simplify 0 into 0 8.587 * [backup-simplify]: Simplify 1 into 1 8.587 * [backup-simplify]: Simplify (* 1 1) into 1 8.587 * [backup-simplify]: Simplify (/ 1 1) into 1 8.587 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 8.587 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 8.587 * [taylor]: Taking taylor expansion of y.re in y.im 8.587 * [backup-simplify]: Simplify y.re into y.re 8.587 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.587 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 8.588 * [backup-simplify]: Simplify (+ 1 0) into 1 8.588 * [backup-simplify]: Simplify (sqrt 1) into 1 8.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.589 * [backup-simplify]: Simplify (+ 0 0) into 0 8.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.590 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 8.590 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 8.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 8.590 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.590 * [taylor]: Taking taylor expansion of y.im in y.re 8.590 * [backup-simplify]: Simplify y.im into y.im 8.590 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.590 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.590 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 8.590 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.590 * [taylor]: Taking taylor expansion of y.re in y.re 8.590 * [backup-simplify]: Simplify 0 into 0 8.590 * [backup-simplify]: Simplify 1 into 1 8.590 * [backup-simplify]: Simplify (* 1 1) into 1 8.590 * [backup-simplify]: Simplify (/ 1 1) into 1 8.591 * [backup-simplify]: Simplify (+ 0 1) into 1 8.591 * [backup-simplify]: Simplify (sqrt 1) into 1 8.591 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.592 * [backup-simplify]: Simplify (+ 0 0) into 0 8.592 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.592 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 8.592 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 8.592 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 8.593 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.593 * [taylor]: Taking taylor expansion of y.im in y.re 8.593 * [backup-simplify]: Simplify y.im into y.im 8.593 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.593 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.593 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 8.593 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.593 * [taylor]: Taking taylor expansion of y.re in y.re 8.593 * [backup-simplify]: Simplify 0 into 0 8.593 * [backup-simplify]: Simplify 1 into 1 8.593 * [backup-simplify]: Simplify (* 1 1) into 1 8.593 * [backup-simplify]: Simplify (/ 1 1) into 1 8.594 * [backup-simplify]: Simplify (+ 0 1) into 1 8.594 * [backup-simplify]: Simplify (sqrt 1) into 1 8.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.595 * [backup-simplify]: Simplify (+ 0 0) into 0 8.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.595 * [taylor]: Taking taylor expansion of 1 in y.im 8.595 * [backup-simplify]: Simplify 1 into 1 8.595 * [taylor]: Taking taylor expansion of 0 in y.im 8.595 * [backup-simplify]: Simplify 0 into 0 8.595 * [backup-simplify]: Simplify 1 into 1 8.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.597 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 8.597 * [backup-simplify]: Simplify (/ (- (/ 1 (pow y.im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow y.im 2)) 8.597 * [taylor]: Taking taylor expansion of (/ 1/2 (pow y.im 2)) in y.im 8.597 * [taylor]: Taking taylor expansion of 1/2 in y.im 8.598 * [backup-simplify]: Simplify 1/2 into 1/2 8.598 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 8.598 * [taylor]: Taking taylor expansion of y.im in y.im 8.598 * [backup-simplify]: Simplify 0 into 0 8.598 * [backup-simplify]: Simplify 1 into 1 8.598 * [backup-simplify]: Simplify (* 1 1) into 1 8.598 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 8.598 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.599 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify 0 into 0 8.599 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.599 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.600 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.601 * [backup-simplify]: Simplify (+ 0 0) into 0 8.601 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow y.im 2)))))) (* 2 1)) into 0 8.601 * [taylor]: Taking taylor expansion of 0 in y.im 8.601 * [backup-simplify]: Simplify 0 into 0 8.602 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.603 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify 0 into 0 8.603 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- y.re))))) into (* -1 y.re) 8.604 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 8.604 * [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))) 8.604 * [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 8.604 * [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 8.604 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.im 8.604 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.im 8.604 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.im 8.604 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 8.604 * [taylor]: Taking taylor expansion of y.im in y.im 8.604 * [backup-simplify]: Simplify 0 into 0 8.604 * [backup-simplify]: Simplify 1 into 1 8.604 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 8.604 * [taylor]: Taking taylor expansion of y.re in y.im 8.605 * [backup-simplify]: Simplify y.re into y.re 8.605 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.605 * [backup-simplify]: Simplify (+ 0 (pow y.re 2)) into (pow y.re 2) 8.605 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 8.605 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.re 2))) into (/ 1 y.re) 8.605 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 8.606 * [backup-simplify]: Simplify (+ 0 0) into 0 8.606 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 8.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.re 2))))) into 0 8.606 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 8.606 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 8.606 * [taylor]: Taking taylor expansion of y.re in y.im 8.606 * [backup-simplify]: Simplify y.re into y.re 8.606 * [taylor]: Taking taylor expansion of x.re in y.im 8.606 * [backup-simplify]: Simplify x.re into x.re 8.606 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 8.606 * [taylor]: Taking taylor expansion of y.im in y.im 8.606 * [backup-simplify]: Simplify 0 into 0 8.606 * [backup-simplify]: Simplify 1 into 1 8.606 * [taylor]: Taking taylor expansion of x.im in y.im 8.607 * [backup-simplify]: Simplify x.im into x.im 8.607 * [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 8.607 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.im 8.607 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.im 8.607 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.im 8.607 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 8.607 * [taylor]: Taking taylor expansion of y.im in x.im 8.607 * [backup-simplify]: Simplify y.im into y.im 8.607 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 8.607 * [taylor]: Taking taylor expansion of y.re in x.im 8.607 * [backup-simplify]: Simplify y.re into y.re 8.607 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.607 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.607 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 8.607 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 8.608 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 8.608 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.608 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 8.608 * [backup-simplify]: Simplify (+ 0 0) into 0 8.609 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 8.609 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 8.609 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 8.609 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 8.609 * [taylor]: Taking taylor expansion of y.re in x.im 8.609 * [backup-simplify]: Simplify y.re into y.re 8.609 * [taylor]: Taking taylor expansion of x.re in x.im 8.610 * [backup-simplify]: Simplify x.re into x.re 8.610 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 8.610 * [taylor]: Taking taylor expansion of y.im in x.im 8.610 * [backup-simplify]: Simplify y.im into y.im 8.610 * [taylor]: Taking taylor expansion of x.im in x.im 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 1 into 1 8.610 * [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 8.610 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 8.610 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 8.610 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 8.610 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.610 * [taylor]: Taking taylor expansion of y.im in y.re 8.610 * [backup-simplify]: Simplify y.im into y.im 8.610 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.610 * [taylor]: Taking taylor expansion of y.re in y.re 8.610 * [backup-simplify]: Simplify 0 into 0 8.610 * [backup-simplify]: Simplify 1 into 1 8.610 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.610 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 8.610 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.611 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 8.611 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.611 * [backup-simplify]: Simplify (+ 0 0) into 0 8.612 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.612 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 8.612 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 8.612 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 8.612 * [taylor]: Taking taylor expansion of y.re in y.re 8.612 * [backup-simplify]: Simplify 0 into 0 8.612 * [backup-simplify]: Simplify 1 into 1 8.612 * [taylor]: Taking taylor expansion of x.re in y.re 8.612 * [backup-simplify]: Simplify x.re into x.re 8.612 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 8.612 * [taylor]: Taking taylor expansion of y.im in y.re 8.612 * [backup-simplify]: Simplify y.im into y.im 8.612 * [taylor]: Taking taylor expansion of x.im in y.re 8.612 * [backup-simplify]: Simplify x.im into x.im 8.612 * [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 8.612 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.re 8.612 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.re 8.613 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 8.613 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 8.613 * [taylor]: Taking taylor expansion of y.im in x.re 8.613 * [backup-simplify]: Simplify y.im into y.im 8.613 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 8.613 * [taylor]: Taking taylor expansion of y.re in x.re 8.613 * [backup-simplify]: Simplify y.re into y.re 8.613 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.613 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.613 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 8.613 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 8.614 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 8.614 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.614 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 8.614 * [backup-simplify]: Simplify (+ 0 0) into 0 8.614 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 8.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 8.614 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 8.614 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 8.615 * [taylor]: Taking taylor expansion of y.re in x.re 8.615 * [backup-simplify]: Simplify y.re into y.re 8.615 * [taylor]: Taking taylor expansion of x.re in x.re 8.615 * [backup-simplify]: Simplify 0 into 0 8.615 * [backup-simplify]: Simplify 1 into 1 8.615 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 8.615 * [taylor]: Taking taylor expansion of y.im in x.re 8.615 * [backup-simplify]: Simplify y.im into y.im 8.615 * [taylor]: Taking taylor expansion of x.im in x.re 8.615 * [backup-simplify]: Simplify x.im into x.im 8.615 * [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 8.615 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in x.re 8.615 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in x.re 8.615 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in x.re 8.615 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 8.615 * [taylor]: Taking taylor expansion of y.im in x.re 8.615 * [backup-simplify]: Simplify y.im into y.im 8.615 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 8.615 * [taylor]: Taking taylor expansion of y.re in x.re 8.615 * [backup-simplify]: Simplify y.re into y.re 8.615 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.615 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.615 * [backup-simplify]: Simplify (+ (pow y.im 2) (pow y.re 2)) into (+ (pow y.re 2) (pow y.im 2)) 8.615 * [backup-simplify]: Simplify (/ 1 (+ (pow y.re 2) (pow y.im 2))) into (/ 1 (+ (pow y.im 2) (pow y.re 2))) 8.615 * [backup-simplify]: Simplify (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) into (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 8.615 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.615 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 8.616 * [backup-simplify]: Simplify (+ 0 0) into 0 8.616 * [backup-simplify]: Simplify (- (+ (* (/ 1 (+ (pow y.im 2) (pow y.re 2))) (/ 0 (+ (pow y.re 2) (pow y.im 2)))))) into 0 8.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))))) into 0 8.616 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 8.616 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 8.616 * [taylor]: Taking taylor expansion of y.re in x.re 8.616 * [backup-simplify]: Simplify y.re into y.re 8.616 * [taylor]: Taking taylor expansion of x.re in x.re 8.616 * [backup-simplify]: Simplify 0 into 0 8.616 * [backup-simplify]: Simplify 1 into 1 8.616 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 8.616 * [taylor]: Taking taylor expansion of y.im in x.re 8.616 * [backup-simplify]: Simplify y.im into y.im 8.616 * [taylor]: Taking taylor expansion of x.im in x.re 8.616 * [backup-simplify]: Simplify x.im into x.im 8.617 * [backup-simplify]: Simplify (* y.re 0) into 0 8.617 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.617 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 8.617 * [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)) 8.617 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) (* y.im x.im)) in y.re 8.617 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 8.617 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 8.617 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 8.617 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.617 * [taylor]: Taking taylor expansion of y.im in y.re 8.617 * [backup-simplify]: Simplify y.im into y.im 8.617 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.617 * [taylor]: Taking taylor expansion of y.re in y.re 8.617 * [backup-simplify]: Simplify 0 into 0 8.617 * [backup-simplify]: Simplify 1 into 1 8.617 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.617 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 8.617 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.617 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 8.617 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.618 * [backup-simplify]: Simplify (+ 0 0) into 0 8.618 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 8.618 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 8.618 * [taylor]: Taking taylor expansion of y.im in y.re 8.618 * [backup-simplify]: Simplify y.im into y.im 8.618 * [taylor]: Taking taylor expansion of x.im in y.re 8.618 * [backup-simplify]: Simplify x.im into x.im 8.618 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.618 * [backup-simplify]: Simplify (* (/ 1 y.im) (* y.im x.im)) into x.im 8.618 * [taylor]: Taking taylor expansion of x.im in x.im 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 1 into 1 8.618 * [taylor]: Taking taylor expansion of 0 in y.im 8.618 * [backup-simplify]: Simplify 0 into 0 8.618 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 8.619 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 8.619 * [backup-simplify]: Simplify (+ y.re 0) into y.re 8.619 * [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) 8.619 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) y.re) in y.re 8.619 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (pow y.im 2) (pow y.re 2)))) in y.re 8.619 * [taylor]: Taking taylor expansion of (/ 1 (+ (pow y.im 2) (pow y.re 2))) in y.re 8.619 * [taylor]: Taking taylor expansion of (+ (pow y.im 2) (pow y.re 2)) in y.re 8.619 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.619 * [taylor]: Taking taylor expansion of y.im in y.re 8.619 * [backup-simplify]: Simplify y.im into y.im 8.619 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.619 * [taylor]: Taking taylor expansion of y.re in y.re 8.619 * [backup-simplify]: Simplify 0 into 0 8.619 * [backup-simplify]: Simplify 1 into 1 8.619 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.619 * [backup-simplify]: Simplify (+ (pow y.im 2) 0) into (pow y.im 2) 8.619 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.619 * [backup-simplify]: Simplify (sqrt (/ 1 (pow y.im 2))) into (/ 1 y.im) 8.619 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.620 * [backup-simplify]: Simplify (+ 0 0) into 0 8.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (pow y.im 2))))) into 0 8.620 * [taylor]: Taking taylor expansion of y.re in y.re 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 1 into 1 8.620 * [backup-simplify]: Simplify (* (/ 1 y.im) 0) into 0 8.620 * [taylor]: Taking taylor expansion of 0 in x.im 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [taylor]: Taking taylor expansion of 0 in y.im 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 8.620 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 0) (* 0 (* y.im x.im))) into 0 8.620 * [taylor]: Taking taylor expansion of 0 in x.im 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [taylor]: Taking taylor expansion of 0 in y.im 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [backup-simplify]: Simplify 0 into 0 8.620 * [taylor]: Taking taylor expansion of 1 in y.im 8.620 * [backup-simplify]: Simplify 1 into 1 8.621 * [backup-simplify]: Simplify 1 into 1 8.621 * [backup-simplify]: Simplify 0 into 0 8.621 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 8.621 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 8.621 * [backup-simplify]: Simplify (+ 0 0) into 0 8.622 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 8.622 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 8.622 * [backup-simplify]: Simplify (+ 0 0) into 0 8.623 * [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 8.623 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))))) into 0 8.624 * [backup-simplify]: Simplify (+ (* (sqrt (/ 1 (+ (pow y.re 2) (pow y.im 2)))) 0) (+ (* 0 y.re) (* 0 (* y.im x.im)))) into 0 8.624 * [taylor]: Taking taylor expansion of 0 in y.re 8.624 * [backup-simplify]: Simplify 0 into 0 8.624 * [taylor]: Taking taylor expansion of 0 in x.im 8.624 * [backup-simplify]: Simplify 0 into 0 8.624 * [taylor]: Taking taylor expansion of 0 in y.im 8.624 * [backup-simplify]: Simplify 0 into 0 8.624 * [backup-simplify]: Simplify 0 into 0 8.624 * [backup-simplify]: Simplify (+ (* (/ 1 y.im) 1) (* 0 0)) into (/ 1 y.im) 8.624 * [taylor]: Taking taylor expansion of (/ 1 y.im) in x.im 8.624 * [taylor]: Taking taylor expansion of y.im in x.im 8.624 * [backup-simplify]: Simplify y.im into y.im 8.624 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 8.624 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 8.624 * [taylor]: Taking taylor expansion of y.im in y.im 8.624 * [backup-simplify]: Simplify 0 into 0 8.624 * [backup-simplify]: Simplify 1 into 1 8.624 * [backup-simplify]: Simplify (/ 1 1) into 1 8.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.625 * [backup-simplify]: Simplify 0 into 0 8.625 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 8.626 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 8.626 * [backup-simplify]: Simplify (* 1 1) into 1 8.626 * [backup-simplify]: Simplify (+ 0 1) into 1 8.626 * [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))) 8.627 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 4))) (pow 0 2) (+)) (* 2 (/ 1 y.im))) into (/ -1/2 (pow y.im 3)) 8.627 * [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)))) 8.627 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ x.im (pow y.im 2)))) in x.im 8.627 * [taylor]: Taking taylor expansion of (* 1/2 (/ x.im (pow y.im 2))) in x.im 8.627 * [taylor]: Taking taylor expansion of 1/2 in x.im 8.627 * [backup-simplify]: Simplify 1/2 into 1/2 8.627 * [taylor]: Taking taylor expansion of (/ x.im (pow y.im 2)) in x.im 8.628 * [taylor]: Taking taylor expansion of x.im in x.im 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 1 into 1 8.628 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 8.628 * [taylor]: Taking taylor expansion of y.im in x.im 8.628 * [backup-simplify]: Simplify y.im into y.im 8.628 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.628 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.628 * [taylor]: Taking taylor expansion of 0 in y.im 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [taylor]: Taking taylor expansion of 0 in y.im 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [taylor]: Taking taylor expansion of 0 in y.im 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify 0 into 0 8.628 * [backup-simplify]: Simplify (* 1 (* 1 (* x.im (* 1 1)))) into x.im 8.629 * [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)))))) 8.629 * [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 8.629 * [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 8.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 8.629 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 8.629 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 8.629 * [taylor]: Taking taylor expansion of y.im in y.im 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 1 into 1 8.629 * [taylor]: Taking taylor expansion of x.im in y.im 8.629 * [backup-simplify]: Simplify x.im into x.im 8.629 * [backup-simplify]: Simplify (* 0 x.im) into 0 8.629 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 8.629 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 8.629 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 8.629 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 8.629 * [taylor]: Taking taylor expansion of y.re in y.im 8.629 * [backup-simplify]: Simplify y.re into y.re 8.629 * [taylor]: Taking taylor expansion of x.re in y.im 8.629 * [backup-simplify]: Simplify x.re into x.re 8.629 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 8.629 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 8.629 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.im 8.629 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 8.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 8.629 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 8.629 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 8.629 * [taylor]: Taking taylor expansion of y.im in y.im 8.629 * [backup-simplify]: Simplify 0 into 0 8.629 * [backup-simplify]: Simplify 1 into 1 8.630 * [backup-simplify]: Simplify (* 1 1) into 1 8.630 * [backup-simplify]: Simplify (/ 1 1) into 1 8.630 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 8.630 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 8.630 * [taylor]: Taking taylor expansion of y.re in y.im 8.630 * [backup-simplify]: Simplify y.re into y.re 8.630 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.630 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 8.630 * [backup-simplify]: Simplify (+ 1 0) into 1 8.631 * [backup-simplify]: Simplify (/ 1 1) into 1 8.631 * [backup-simplify]: Simplify (sqrt 1) into 1 8.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.632 * [backup-simplify]: Simplify (+ 0 0) into 0 8.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.633 * [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 8.633 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 8.633 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 8.633 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 8.633 * [taylor]: Taking taylor expansion of y.im in x.im 8.633 * [backup-simplify]: Simplify y.im into y.im 8.633 * [taylor]: Taking taylor expansion of x.im in x.im 8.633 * [backup-simplify]: Simplify 0 into 0 8.633 * [backup-simplify]: Simplify 1 into 1 8.633 * [backup-simplify]: Simplify (* y.im 0) into 0 8.633 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 8.633 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 8.633 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 8.633 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 8.633 * [taylor]: Taking taylor expansion of y.re in x.im 8.633 * [backup-simplify]: Simplify y.re into y.re 8.633 * [taylor]: Taking taylor expansion of x.re in x.im 8.634 * [backup-simplify]: Simplify x.re into x.re 8.634 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 8.634 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 8.634 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.im 8.634 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 8.634 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 8.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 8.634 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 8.634 * [taylor]: Taking taylor expansion of y.im in x.im 8.634 * [backup-simplify]: Simplify y.im into y.im 8.634 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.634 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.634 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 8.634 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 8.634 * [taylor]: Taking taylor expansion of y.re in x.im 8.634 * [backup-simplify]: Simplify y.re into y.re 8.634 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.634 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 8.634 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 8.634 * [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)))) 8.635 * [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))))) 8.635 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.635 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 8.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 8.635 * [backup-simplify]: Simplify (+ 0 0) into 0 8.636 * [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 8.636 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 8.636 * [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 8.636 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 8.636 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 8.636 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 8.636 * [taylor]: Taking taylor expansion of y.im in y.re 8.636 * [backup-simplify]: Simplify y.im into y.im 8.636 * [taylor]: Taking taylor expansion of x.im in y.re 8.636 * [backup-simplify]: Simplify x.im into x.im 8.636 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.636 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.636 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 8.636 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 8.636 * [taylor]: Taking taylor expansion of y.re in y.re 8.636 * [backup-simplify]: Simplify 0 into 0 8.636 * [backup-simplify]: Simplify 1 into 1 8.636 * [taylor]: Taking taylor expansion of x.re in y.re 8.636 * [backup-simplify]: Simplify x.re into x.re 8.636 * [backup-simplify]: Simplify (* 0 x.re) into 0 8.637 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 8.637 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 8.637 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 8.637 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 8.637 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 8.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 8.637 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.637 * [taylor]: Taking taylor expansion of y.im in y.re 8.637 * [backup-simplify]: Simplify y.im into y.im 8.637 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.637 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.637 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 8.637 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.637 * [taylor]: Taking taylor expansion of y.re in y.re 8.637 * [backup-simplify]: Simplify 0 into 0 8.637 * [backup-simplify]: Simplify 1 into 1 8.637 * [backup-simplify]: Simplify (* 1 1) into 1 8.638 * [backup-simplify]: Simplify (/ 1 1) into 1 8.638 * [backup-simplify]: Simplify (+ 0 1) into 1 8.638 * [backup-simplify]: Simplify (/ 1 1) into 1 8.639 * [backup-simplify]: Simplify (sqrt 1) into 1 8.639 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.639 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.640 * [backup-simplify]: Simplify (+ 0 0) into 0 8.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.640 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.640 * [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 8.640 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 8.640 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 8.640 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 8.640 * [taylor]: Taking taylor expansion of y.im in x.re 8.641 * [backup-simplify]: Simplify y.im into y.im 8.641 * [taylor]: Taking taylor expansion of x.im in x.re 8.641 * [backup-simplify]: Simplify x.im into x.im 8.641 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.641 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.641 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 8.641 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 8.641 * [taylor]: Taking taylor expansion of y.re in x.re 8.641 * [backup-simplify]: Simplify y.re into y.re 8.641 * [taylor]: Taking taylor expansion of x.re in x.re 8.641 * [backup-simplify]: Simplify 0 into 0 8.641 * [backup-simplify]: Simplify 1 into 1 8.641 * [backup-simplify]: Simplify (* y.re 0) into 0 8.641 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 8.641 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 8.641 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 8.641 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 8.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 8.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 8.641 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 8.641 * [taylor]: Taking taylor expansion of y.im in x.re 8.641 * [backup-simplify]: Simplify y.im into y.im 8.641 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.641 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.641 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 8.641 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 8.641 * [taylor]: Taking taylor expansion of y.re in x.re 8.641 * [backup-simplify]: Simplify y.re into y.re 8.642 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.642 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 8.642 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 8.642 * [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)))) 8.642 * [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))))) 8.642 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.642 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.642 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 8.643 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 8.643 * [backup-simplify]: Simplify (+ 0 0) into 0 8.643 * [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 8.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 8.644 * [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 8.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 8.644 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 8.644 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 8.644 * [taylor]: Taking taylor expansion of y.im in x.re 8.644 * [backup-simplify]: Simplify y.im into y.im 8.644 * [taylor]: Taking taylor expansion of x.im in x.re 8.644 * [backup-simplify]: Simplify x.im into x.im 8.644 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.644 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.644 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 8.644 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 8.644 * [taylor]: Taking taylor expansion of y.re in x.re 8.644 * [backup-simplify]: Simplify y.re into y.re 8.644 * [taylor]: Taking taylor expansion of x.re in x.re 8.644 * [backup-simplify]: Simplify 0 into 0 8.644 * [backup-simplify]: Simplify 1 into 1 8.644 * [backup-simplify]: Simplify (* y.re 0) into 0 8.644 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 8.644 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 8.644 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 8.644 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 8.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 8.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 8.644 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 8.644 * [taylor]: Taking taylor expansion of y.im in x.re 8.644 * [backup-simplify]: Simplify y.im into y.im 8.644 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.644 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.644 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 8.644 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 8.645 * [taylor]: Taking taylor expansion of y.re in x.re 8.645 * [backup-simplify]: Simplify y.re into y.re 8.645 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.645 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 8.645 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 8.645 * [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)))) 8.645 * [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))))) 8.645 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.646 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 8.646 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 8.646 * [backup-simplify]: Simplify (+ 0 0) into 0 8.647 * [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 8.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 8.648 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 8.648 * [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)) 8.648 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) in y.re 8.648 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 8.648 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 8.648 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 8.648 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 8.648 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.648 * [taylor]: Taking taylor expansion of y.im in y.re 8.648 * [backup-simplify]: Simplify y.im into y.im 8.648 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.649 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.649 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 8.649 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.649 * [taylor]: Taking taylor expansion of y.re in y.re 8.649 * [backup-simplify]: Simplify 0 into 0 8.649 * [backup-simplify]: Simplify 1 into 1 8.649 * [backup-simplify]: Simplify (* 1 1) into 1 8.650 * [backup-simplify]: Simplify (/ 1 1) into 1 8.650 * [backup-simplify]: Simplify (+ 0 1) into 1 8.650 * [backup-simplify]: Simplify (/ 1 1) into 1 8.651 * [backup-simplify]: Simplify (sqrt 1) into 1 8.651 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.653 * [backup-simplify]: Simplify (+ 0 0) into 0 8.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.654 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 8.654 * [taylor]: Taking taylor expansion of y.re in y.re 8.654 * [backup-simplify]: Simplify 0 into 0 8.654 * [backup-simplify]: Simplify 1 into 1 8.654 * [backup-simplify]: Simplify (/ 1 1) into 1 8.655 * [backup-simplify]: Simplify (* 1 1) into 1 8.655 * [taylor]: Taking taylor expansion of 1 in x.im 8.655 * [backup-simplify]: Simplify 1 into 1 8.656 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 8.656 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 8.656 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 8.657 * [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)))))) 8.657 * [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 8.657 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 8.657 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 8.657 * [taylor]: Taking taylor expansion of y.im in y.re 8.657 * [backup-simplify]: Simplify y.im into y.im 8.657 * [taylor]: Taking taylor expansion of x.im in y.re 8.657 * [backup-simplify]: Simplify x.im into x.im 8.657 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.657 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.657 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 8.657 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 8.657 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 8.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 8.657 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.657 * [taylor]: Taking taylor expansion of y.im in y.re 8.657 * [backup-simplify]: Simplify y.im into y.im 8.657 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.657 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.657 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 8.657 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.657 * [taylor]: Taking taylor expansion of y.re in y.re 8.657 * [backup-simplify]: Simplify 0 into 0 8.657 * [backup-simplify]: Simplify 1 into 1 8.658 * [backup-simplify]: Simplify (* 1 1) into 1 8.658 * [backup-simplify]: Simplify (/ 1 1) into 1 8.659 * [backup-simplify]: Simplify (+ 0 1) into 1 8.659 * [backup-simplify]: Simplify (/ 1 1) into 1 8.659 * [backup-simplify]: Simplify (sqrt 1) into 1 8.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.661 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.661 * [backup-simplify]: Simplify (+ 0 0) into 0 8.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.663 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.664 * [taylor]: Taking taylor expansion of 0 in x.im 8.664 * [backup-simplify]: Simplify 0 into 0 8.664 * [taylor]: Taking taylor expansion of 1 in y.im 8.664 * [backup-simplify]: Simplify 1 into 1 8.664 * [backup-simplify]: Simplify 1 into 1 8.665 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 8.665 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 8.666 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 8.666 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 8.667 * [backup-simplify]: Simplify (+ 0 0) into 0 8.668 * [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 8.669 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 8.669 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 8.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 8.670 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.670 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 8.670 * [backup-simplify]: Simplify (+ 0 0) into 0 8.670 * [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 8.670 * [taylor]: Taking taylor expansion of 0 in y.re 8.670 * [backup-simplify]: Simplify 0 into 0 8.670 * [taylor]: Taking taylor expansion of 0 in x.im 8.670 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify (* (/ 1 (* y.im x.im)) 1) into (/ 1 (* y.im x.im)) 8.671 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 8.671 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 8.671 * [taylor]: Taking taylor expansion of y.im in x.im 8.671 * [backup-simplify]: Simplify y.im into y.im 8.671 * [taylor]: Taking taylor expansion of x.im in x.im 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 1 into 1 8.671 * [backup-simplify]: Simplify (* y.im 0) into 0 8.671 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 8.671 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 8.671 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 8.671 * [taylor]: Taking taylor expansion of y.im in y.im 8.671 * [backup-simplify]: Simplify 0 into 0 8.671 * [backup-simplify]: Simplify 1 into 1 8.671 * [backup-simplify]: Simplify (/ 1 1) into 1 8.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.672 * [backup-simplify]: Simplify 0 into 0 8.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.673 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.673 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 8.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 8.675 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2)) 8.675 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 2)) 1))) into (- (* 1/2 (/ 1 (pow y.im 2)))) 8.675 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.im 8.675 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.im 8.675 * [taylor]: Taking taylor expansion of 1/2 in x.im 8.675 * [backup-simplify]: Simplify 1/2 into 1/2 8.675 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 8.676 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 8.676 * [taylor]: Taking taylor expansion of y.im in x.im 8.676 * [backup-simplify]: Simplify y.im into y.im 8.676 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.676 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.676 * [taylor]: Taking taylor expansion of 0 in y.im 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [taylor]: Taking taylor expansion of 0 in y.im 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify 0 into 0 8.676 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 8.677 * [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 8.677 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 8.678 * [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 8.678 * [backup-simplify]: Simplify (+ 0 0) into 0 8.679 * [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 8.679 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 8.680 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 8.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 8.680 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 8.681 * [backup-simplify]: Simplify (+ 0 0) into 0 8.681 * [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 8.681 * [taylor]: Taking taylor expansion of 0 in y.re 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [taylor]: Taking taylor expansion of 0 in x.im 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [taylor]: Taking taylor expansion of 0 in x.im 8.681 * [backup-simplify]: Simplify 0 into 0 8.681 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 8.682 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 8.682 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1)) into 0 8.682 * [taylor]: Taking taylor expansion of 0 in x.im 8.682 * [backup-simplify]: Simplify 0 into 0 8.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.683 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.683 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.684 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.684 * [backup-simplify]: Simplify (+ 0 0) into 0 8.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 8.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0 8.691 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y.im 2)) 0) (* 0 1)))) into 0 8.691 * [taylor]: Taking taylor expansion of 0 in x.im 8.691 * [backup-simplify]: Simplify 0 into 0 8.691 * [taylor]: Taking taylor expansion of 0 in y.im 8.691 * [backup-simplify]: Simplify 0 into 0 8.691 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 8.692 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 8.692 * [taylor]: Taking taylor expansion of 0 in y.im 8.692 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 x.re)))))) into x.re 8.692 * [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)))))) 8.692 * [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 8.692 * [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 8.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 8.692 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 8.692 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 8.692 * [taylor]: Taking taylor expansion of y.im in y.im 8.692 * [backup-simplify]: Simplify 0 into 0 8.692 * [backup-simplify]: Simplify 1 into 1 8.692 * [taylor]: Taking taylor expansion of x.im in y.im 8.692 * [backup-simplify]: Simplify x.im into x.im 8.692 * [backup-simplify]: Simplify (* 0 x.im) into 0 8.693 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 8.693 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 8.693 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 8.693 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 8.693 * [taylor]: Taking taylor expansion of y.re in y.im 8.693 * [backup-simplify]: Simplify y.re into y.re 8.693 * [taylor]: Taking taylor expansion of x.re in y.im 8.693 * [backup-simplify]: Simplify x.re into x.re 8.693 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 8.693 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 8.693 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.im 8.693 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.im 8.693 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.im 8.693 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.im 8.693 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.im 8.693 * [taylor]: Taking taylor expansion of y.im in y.im 8.693 * [backup-simplify]: Simplify 0 into 0 8.693 * [backup-simplify]: Simplify 1 into 1 8.693 * [backup-simplify]: Simplify (* 1 1) into 1 8.694 * [backup-simplify]: Simplify (/ 1 1) into 1 8.694 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.im 8.694 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.im 8.694 * [taylor]: Taking taylor expansion of y.re in y.im 8.694 * [backup-simplify]: Simplify y.re into y.re 8.694 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.694 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 8.694 * [backup-simplify]: Simplify (+ 1 0) into 1 8.694 * [backup-simplify]: Simplify (/ 1 1) into 1 8.695 * [backup-simplify]: Simplify (sqrt 1) into 1 8.695 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.696 * [backup-simplify]: Simplify (+ 0 0) into 0 8.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.697 * [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 8.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 8.697 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 8.697 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 8.697 * [taylor]: Taking taylor expansion of y.im in x.im 8.697 * [backup-simplify]: Simplify y.im into y.im 8.697 * [taylor]: Taking taylor expansion of x.im in x.im 8.697 * [backup-simplify]: Simplify 0 into 0 8.697 * [backup-simplify]: Simplify 1 into 1 8.697 * [backup-simplify]: Simplify (* y.im 0) into 0 8.697 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 8.697 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 8.697 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 8.697 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 8.697 * [taylor]: Taking taylor expansion of y.re in x.im 8.697 * [backup-simplify]: Simplify y.re into y.re 8.697 * [taylor]: Taking taylor expansion of x.re in x.im 8.697 * [backup-simplify]: Simplify x.re into x.re 8.697 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 8.697 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 8.697 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.im 8.697 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.im 8.697 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.im 8.697 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 8.697 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 8.697 * [taylor]: Taking taylor expansion of y.im in x.im 8.697 * [backup-simplify]: Simplify y.im into y.im 8.697 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.698 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.698 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.im 8.698 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.im 8.698 * [taylor]: Taking taylor expansion of y.re in x.im 8.698 * [backup-simplify]: Simplify y.re into y.re 8.698 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.698 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 8.698 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 8.698 * [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)))) 8.698 * [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))))) 8.698 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.699 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 8.699 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 8.699 * [backup-simplify]: Simplify (+ 0 0) into 0 8.699 * [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 8.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 8.700 * [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 8.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 8.700 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 8.700 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 8.700 * [taylor]: Taking taylor expansion of y.im in y.re 8.700 * [backup-simplify]: Simplify y.im into y.im 8.700 * [taylor]: Taking taylor expansion of x.im in y.re 8.700 * [backup-simplify]: Simplify x.im into x.im 8.700 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.700 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.700 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 8.700 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 8.700 * [taylor]: Taking taylor expansion of y.re in y.re 8.700 * [backup-simplify]: Simplify 0 into 0 8.700 * [backup-simplify]: Simplify 1 into 1 8.700 * [taylor]: Taking taylor expansion of x.re in y.re 8.700 * [backup-simplify]: Simplify x.re into x.re 8.700 * [backup-simplify]: Simplify (* 0 x.re) into 0 8.700 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 8.700 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 8.700 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 8.700 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 8.700 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 8.700 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 8.700 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.700 * [taylor]: Taking taylor expansion of y.im in y.re 8.701 * [backup-simplify]: Simplify y.im into y.im 8.701 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.701 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.701 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 8.701 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.701 * [taylor]: Taking taylor expansion of y.re in y.re 8.701 * [backup-simplify]: Simplify 0 into 0 8.701 * [backup-simplify]: Simplify 1 into 1 8.701 * [backup-simplify]: Simplify (* 1 1) into 1 8.701 * [backup-simplify]: Simplify (/ 1 1) into 1 8.701 * [backup-simplify]: Simplify (+ 0 1) into 1 8.702 * [backup-simplify]: Simplify (/ 1 1) into 1 8.702 * [backup-simplify]: Simplify (sqrt 1) into 1 8.702 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.703 * [backup-simplify]: Simplify (+ 0 0) into 0 8.703 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.704 * [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 8.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 8.704 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 8.704 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 8.704 * [taylor]: Taking taylor expansion of y.im in x.re 8.704 * [backup-simplify]: Simplify y.im into y.im 8.704 * [taylor]: Taking taylor expansion of x.im in x.re 8.704 * [backup-simplify]: Simplify x.im into x.im 8.704 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.704 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.704 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 8.704 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 8.704 * [taylor]: Taking taylor expansion of y.re in x.re 8.704 * [backup-simplify]: Simplify y.re into y.re 8.704 * [taylor]: Taking taylor expansion of x.re in x.re 8.704 * [backup-simplify]: Simplify 0 into 0 8.704 * [backup-simplify]: Simplify 1 into 1 8.704 * [backup-simplify]: Simplify (* y.re 0) into 0 8.704 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 8.705 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 8.705 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 8.705 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 8.705 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 8.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 8.705 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 8.705 * [taylor]: Taking taylor expansion of y.im in x.re 8.705 * [backup-simplify]: Simplify y.im into y.im 8.705 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.705 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.705 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 8.705 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 8.705 * [taylor]: Taking taylor expansion of y.re in x.re 8.705 * [backup-simplify]: Simplify y.re into y.re 8.705 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.705 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 8.705 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 8.705 * [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)))) 8.706 * [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))))) 8.706 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.706 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 8.706 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 8.706 * [backup-simplify]: Simplify (+ 0 0) into 0 8.707 * [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 8.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 8.707 * [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 8.707 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 8.707 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 8.707 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 8.707 * [taylor]: Taking taylor expansion of y.im in x.re 8.707 * [backup-simplify]: Simplify y.im into y.im 8.707 * [taylor]: Taking taylor expansion of x.im in x.re 8.707 * [backup-simplify]: Simplify x.im into x.im 8.707 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.707 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.707 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 8.707 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 8.707 * [taylor]: Taking taylor expansion of y.re in x.re 8.707 * [backup-simplify]: Simplify y.re into y.re 8.707 * [taylor]: Taking taylor expansion of x.re in x.re 8.707 * [backup-simplify]: Simplify 0 into 0 8.707 * [backup-simplify]: Simplify 1 into 1 8.707 * [backup-simplify]: Simplify (* y.re 0) into 0 8.708 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 8.708 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 8.708 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in x.re 8.708 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in x.re 8.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in x.re 8.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.re 8.708 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.re 8.708 * [taylor]: Taking taylor expansion of y.im in x.re 8.708 * [backup-simplify]: Simplify y.im into y.im 8.708 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.708 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.708 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in x.re 8.708 * [taylor]: Taking taylor expansion of (pow y.re 2) in x.re 8.708 * [taylor]: Taking taylor expansion of y.re in x.re 8.708 * [backup-simplify]: Simplify y.re into y.re 8.708 * [backup-simplify]: Simplify (* y.re y.re) into (pow y.re 2) 8.708 * [backup-simplify]: Simplify (/ 1 (pow y.re 2)) into (/ 1 (pow y.re 2)) 8.708 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) into (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) 8.708 * [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)))) 8.709 * [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))))) 8.709 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.709 * [backup-simplify]: Simplify (+ (* y.re 0) (* 0 y.re)) into 0 8.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))))) into 0 8.709 * [backup-simplify]: Simplify (+ 0 0) into 0 8.710 * [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 8.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 8.710 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 8.710 * [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)) 8.710 * [taylor]: Taking taylor expansion of (* (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) (/ 1 y.re)) in y.re 8.710 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 8.710 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 8.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 8.710 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 8.710 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.711 * [taylor]: Taking taylor expansion of y.im in y.re 8.711 * [backup-simplify]: Simplify y.im into y.im 8.711 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.711 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.711 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 8.711 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.711 * [taylor]: Taking taylor expansion of y.re in y.re 8.711 * [backup-simplify]: Simplify 0 into 0 8.711 * [backup-simplify]: Simplify 1 into 1 8.711 * [backup-simplify]: Simplify (* 1 1) into 1 8.711 * [backup-simplify]: Simplify (/ 1 1) into 1 8.711 * [backup-simplify]: Simplify (+ 0 1) into 1 8.712 * [backup-simplify]: Simplify (/ 1 1) into 1 8.712 * [backup-simplify]: Simplify (sqrt 1) into 1 8.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.713 * [backup-simplify]: Simplify (+ 0 0) into 0 8.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.714 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 8.714 * [taylor]: Taking taylor expansion of y.re in y.re 8.714 * [backup-simplify]: Simplify 0 into 0 8.714 * [backup-simplify]: Simplify 1 into 1 8.714 * [backup-simplify]: Simplify (/ 1 1) into 1 8.714 * [backup-simplify]: Simplify (* 1 1) into 1 8.714 * [taylor]: Taking taylor expansion of 1 in x.im 8.714 * [backup-simplify]: Simplify 1 into 1 8.715 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 8.715 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 8.715 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 8.715 * [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)))))) 8.715 * [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 8.715 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 8.715 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 8.715 * [taylor]: Taking taylor expansion of y.im in y.re 8.716 * [backup-simplify]: Simplify y.im into y.im 8.716 * [taylor]: Taking taylor expansion of x.im in y.re 8.716 * [backup-simplify]: Simplify x.im into x.im 8.716 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.716 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.716 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))) in y.re 8.716 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2)))) in y.re 8.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))) in y.re 8.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in y.re 8.716 * [taylor]: Taking taylor expansion of (pow y.im 2) in y.re 8.716 * [taylor]: Taking taylor expansion of y.im in y.re 8.716 * [backup-simplify]: Simplify y.im into y.im 8.716 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.716 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.716 * [taylor]: Taking taylor expansion of (/ 1 (pow y.re 2)) in y.re 8.716 * [taylor]: Taking taylor expansion of (pow y.re 2) in y.re 8.716 * [taylor]: Taking taylor expansion of y.re in y.re 8.716 * [backup-simplify]: Simplify 0 into 0 8.716 * [backup-simplify]: Simplify 1 into 1 8.716 * [backup-simplify]: Simplify (* 1 1) into 1 8.716 * [backup-simplify]: Simplify (/ 1 1) into 1 8.717 * [backup-simplify]: Simplify (+ 0 1) into 1 8.717 * [backup-simplify]: Simplify (/ 1 1) into 1 8.717 * [backup-simplify]: Simplify (sqrt 1) into 1 8.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.719 * [backup-simplify]: Simplify (+ 0 0) into 0 8.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.720 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 8.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 8.721 * [taylor]: Taking taylor expansion of 0 in x.im 8.721 * [backup-simplify]: Simplify 0 into 0 8.721 * [taylor]: Taking taylor expansion of 1 in y.im 8.721 * [backup-simplify]: Simplify 1 into 1 8.721 * [backup-simplify]: Simplify 1 into 1 8.722 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 y.im))) into 0 8.722 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))) (* 0 (/ 0 (pow y.im 2))))) into 0 8.723 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (* 0 y.re))) into 0 8.723 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.re 2)) (/ 0 (pow y.re 2))) (* 0 (/ 0 (pow y.re 2))))) into 0 8.724 * [backup-simplify]: Simplify (+ 0 0) into 0 8.724 * [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 8.726 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 8.726 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 8.726 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 8.727 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 8.727 * [backup-simplify]: Simplify (+ 0 0) into 0 8.728 * [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 8.728 * [taylor]: Taking taylor expansion of 0 in y.re 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [taylor]: Taking taylor expansion of 0 in x.im 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify (* (/ 1 (* y.im x.im)) 1) into (/ 1 (* y.im x.im)) 8.728 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 8.728 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 8.728 * [taylor]: Taking taylor expansion of y.im in x.im 8.728 * [backup-simplify]: Simplify y.im into y.im 8.728 * [taylor]: Taking taylor expansion of x.im in x.im 8.728 * [backup-simplify]: Simplify 0 into 0 8.728 * [backup-simplify]: Simplify 1 into 1 8.728 * [backup-simplify]: Simplify (* y.im 0) into 0 8.729 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 8.729 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 8.729 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 8.729 * [taylor]: Taking taylor expansion of y.im in y.im 8.729 * [backup-simplify]: Simplify 0 into 0 8.729 * [backup-simplify]: Simplify 1 into 1 8.729 * [backup-simplify]: Simplify (/ 1 1) into 1 8.730 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.730 * [backup-simplify]: Simplify 0 into 0 8.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 8.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.733 * [backup-simplify]: Simplify (+ (/ 1 (pow y.im 2)) 0) into (/ 1 (pow y.im 2)) 8.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 (pow y.im 2)) 1)) (* 0 (/ 0 1)))) into (- (/ 1 (pow y.im 2))) 8.735 * [backup-simplify]: Simplify (/ (- (- (/ 1 (pow y.im 2))) (pow 0 2) (+)) (* 2 1)) into (/ -1/2 (pow y.im 2)) 8.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* (/ -1/2 (pow y.im 2)) 1))) into (- (* 1/2 (/ 1 (pow y.im 2)))) 8.736 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow y.im 2)))) in x.im 8.736 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow y.im 2))) in x.im 8.736 * [taylor]: Taking taylor expansion of 1/2 in x.im 8.736 * [backup-simplify]: Simplify 1/2 into 1/2 8.736 * [taylor]: Taking taylor expansion of (/ 1 (pow y.im 2)) in x.im 8.736 * [taylor]: Taking taylor expansion of (pow y.im 2) in x.im 8.736 * [taylor]: Taking taylor expansion of y.im in x.im 8.736 * [backup-simplify]: Simplify y.im into y.im 8.736 * [backup-simplify]: Simplify (* y.im y.im) into (pow y.im 2) 8.736 * [backup-simplify]: Simplify (/ 1 (pow y.im 2)) into (/ 1 (pow y.im 2)) 8.736 * [taylor]: Taking taylor expansion of 0 in y.im 8.736 * [backup-simplify]: Simplify 0 into 0 8.736 * [backup-simplify]: Simplify 0 into 0 8.737 * [taylor]: Taking taylor expansion of 0 in y.im 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify 0 into 0 8.737 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.im)))) into 0 8.738 * [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 8.739 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (* 0 y.re)))) into 0 8.739 * [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 8.740 * [backup-simplify]: Simplify (+ 0 0) into 0 8.741 * [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 8.742 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt (/ 1 (+ (/ 1 (pow y.im 2)) (/ 1 (pow y.re 2))))))) into 0 8.743 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 8.743 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 8.744 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.744 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 8.744 * [backup-simplify]: Simplify (+ 0 0) into 0 8.745 * [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 8.745 * [taylor]: Taking taylor expansion of 0 in y.re 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [taylor]: Taking taylor expansion of 0 in x.im 8.745 * [backup-simplify]: Simplify 0 into 0 8.745 * [taylor]: Taking taylor expansion of 0 in x.im 8.745 * [backup-simplify]: Simplify 0 into 0 8.746 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 8.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 8.746 * [backup-simplify]: Simplify (+ (* (/ 1 (* y.im x.im)) 0) (* 0 1)) into 0 8.746 * [taylor]: Taking taylor expansion of 0 in x.im 8.746 * [backup-simplify]: Simplify 0 into 0 8.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.747 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 y.im)) into 0 8.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow y.im 2)) (/ 0 (pow y.im 2))))) into 0 8.749 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 8.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.750 * [backup-simplify]: Simplify (+ 0 0) into 0 8.751 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ (/ 1 (pow y.im 2)) 1)) (* (- (/ 1 (pow y.im 2))) (/ 0 1)))) into 0 8.752 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/2 (pow y.im 2)))))) (* 2 1)) into 0 8.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* (/ -1/2 (pow y.im 2)) 0) (* 0 1)))) into 0 8.753 * [taylor]: Taking taylor expansion of 0 in x.im 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [taylor]: Taking taylor expansion of 0 in y.im 8.753 * [backup-simplify]: Simplify 0 into 0 8.753 * [backup-simplify]: Simplify 0 into 0 8.754 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 8.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 8.755 * [taylor]: Taking taylor expansion of 0 in y.im 8.755 * [backup-simplify]: Simplify 0 into 0 8.755 * [backup-simplify]: Simplify 0 into 0 8.755 * [backup-simplify]: Simplify (* 1 (* 1 (* 1 (* 1 (/ 1 (/ 1 (- x.re))))))) into (* -1 x.re) 8.755 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 8.755 * [backup-simplify]: Simplify (+ (* x.re y.re) (* x.im y.im)) into (+ (* y.re x.re) (* y.im x.im)) 8.755 * [approximate]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in (x.re y.re x.im y.im) around 0 8.755 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.im 8.755 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 8.755 * [taylor]: Taking taylor expansion of y.re in y.im 8.755 * [backup-simplify]: Simplify y.re into y.re 8.755 * [taylor]: Taking taylor expansion of x.re in y.im 8.755 * [backup-simplify]: Simplify x.re into x.re 8.755 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 8.755 * [taylor]: Taking taylor expansion of y.im in y.im 8.755 * [backup-simplify]: Simplify 0 into 0 8.755 * [backup-simplify]: Simplify 1 into 1 8.755 * [taylor]: Taking taylor expansion of x.im in y.im 8.755 * [backup-simplify]: Simplify x.im into x.im 8.755 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.im 8.755 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 8.756 * [taylor]: Taking taylor expansion of y.re in x.im 8.756 * [backup-simplify]: Simplify y.re into y.re 8.756 * [taylor]: Taking taylor expansion of x.re in x.im 8.756 * [backup-simplify]: Simplify x.re into x.re 8.756 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 8.756 * [taylor]: Taking taylor expansion of y.im in x.im 8.756 * [backup-simplify]: Simplify y.im into y.im 8.756 * [taylor]: Taking taylor expansion of x.im in x.im 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify 1 into 1 8.756 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in y.re 8.756 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 8.756 * [taylor]: Taking taylor expansion of y.re in y.re 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify 1 into 1 8.756 * [taylor]: Taking taylor expansion of x.re in y.re 8.756 * [backup-simplify]: Simplify x.re into x.re 8.756 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 8.756 * [taylor]: Taking taylor expansion of y.im in y.re 8.756 * [backup-simplify]: Simplify y.im into y.im 8.756 * [taylor]: Taking taylor expansion of x.im in y.re 8.756 * [backup-simplify]: Simplify x.im into x.im 8.756 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 8.756 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 8.756 * [taylor]: Taking taylor expansion of y.re in x.re 8.756 * [backup-simplify]: Simplify y.re into y.re 8.756 * [taylor]: Taking taylor expansion of x.re in x.re 8.756 * [backup-simplify]: Simplify 0 into 0 8.756 * [backup-simplify]: Simplify 1 into 1 8.756 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 8.756 * [taylor]: Taking taylor expansion of y.im in x.re 8.756 * [backup-simplify]: Simplify y.im into y.im 8.756 * [taylor]: Taking taylor expansion of x.im in x.re 8.756 * [backup-simplify]: Simplify x.im into x.im 8.756 * [taylor]: Taking taylor expansion of (+ (* y.re x.re) (* y.im x.im)) in x.re 8.756 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 8.756 * [taylor]: Taking taylor expansion of y.re in x.re 8.756 * [backup-simplify]: Simplify y.re into y.re 8.756 * [taylor]: Taking taylor expansion of x.re in x.re 8.756 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify 1 into 1 8.757 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 8.757 * [taylor]: Taking taylor expansion of y.im in x.re 8.757 * [backup-simplify]: Simplify y.im into y.im 8.757 * [taylor]: Taking taylor expansion of x.im in x.re 8.757 * [backup-simplify]: Simplify x.im into x.im 8.757 * [backup-simplify]: Simplify (* y.re 0) into 0 8.757 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.757 * [backup-simplify]: Simplify (+ 0 (* y.im x.im)) into (* y.im x.im) 8.757 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 8.757 * [taylor]: Taking taylor expansion of y.im in y.re 8.757 * [backup-simplify]: Simplify y.im into y.im 8.757 * [taylor]: Taking taylor expansion of x.im in y.re 8.757 * [backup-simplify]: Simplify x.im into x.im 8.757 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.757 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 8.757 * [taylor]: Taking taylor expansion of y.im in x.im 8.757 * [backup-simplify]: Simplify y.im into y.im 8.757 * [taylor]: Taking taylor expansion of x.im in x.im 8.757 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify 1 into 1 8.757 * [backup-simplify]: Simplify (* y.im 0) into 0 8.757 * [taylor]: Taking taylor expansion of 0 in y.im 8.757 * [backup-simplify]: Simplify 0 into 0 8.757 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 8.758 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 8.758 * [backup-simplify]: Simplify (+ y.re 0) into y.re 8.758 * [taylor]: Taking taylor expansion of y.re in y.re 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 1 into 1 8.758 * [taylor]: Taking taylor expansion of 0 in x.im 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [taylor]: Taking taylor expansion of 0 in y.im 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 8.758 * [taylor]: Taking taylor expansion of 0 in x.im 8.758 * [backup-simplify]: Simplify 0 into 0 8.758 * [taylor]: Taking taylor expansion of 0 in y.im 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 8.759 * [taylor]: Taking taylor expansion of y.im in y.im 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 1 into 1 8.759 * [backup-simplify]: Simplify 0 into 0 8.759 * [backup-simplify]: Simplify 0 into 0 8.760 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 8.760 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 8.761 * [backup-simplify]: Simplify (+ 0 0) into 0 8.761 * [taylor]: Taking taylor expansion of 0 in y.re 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [taylor]: Taking taylor expansion of 0 in x.im 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [taylor]: Taking taylor expansion of 0 in y.im 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [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))) 8.761 * [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 8.761 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 8.761 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 8.761 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 8.761 * [taylor]: Taking taylor expansion of y.im in y.im 8.761 * [backup-simplify]: Simplify 0 into 0 8.761 * [backup-simplify]: Simplify 1 into 1 8.762 * [taylor]: Taking taylor expansion of x.im in y.im 8.762 * [backup-simplify]: Simplify x.im into x.im 8.762 * [backup-simplify]: Simplify (* 0 x.im) into 0 8.762 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 8.762 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 8.762 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 8.762 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 8.762 * [taylor]: Taking taylor expansion of y.re in y.im 8.762 * [backup-simplify]: Simplify y.re into y.re 8.762 * [taylor]: Taking taylor expansion of x.re in y.im 8.762 * [backup-simplify]: Simplify x.re into x.re 8.762 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 8.762 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 8.762 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 8.763 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 8.763 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 8.763 * [taylor]: Taking taylor expansion of y.im in x.im 8.763 * [backup-simplify]: Simplify y.im into y.im 8.763 * [taylor]: Taking taylor expansion of x.im in x.im 8.763 * [backup-simplify]: Simplify 0 into 0 8.763 * [backup-simplify]: Simplify 1 into 1 8.763 * [backup-simplify]: Simplify (* y.im 0) into 0 8.763 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 8.763 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 8.763 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 8.763 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 8.763 * [taylor]: Taking taylor expansion of y.re in x.im 8.763 * [backup-simplify]: Simplify y.re into y.re 8.763 * [taylor]: Taking taylor expansion of x.re in x.im 8.763 * [backup-simplify]: Simplify x.re into x.re 8.764 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 8.764 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 8.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 8.764 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 8.764 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 8.764 * [taylor]: Taking taylor expansion of y.im in y.re 8.764 * [backup-simplify]: Simplify y.im into y.im 8.764 * [taylor]: Taking taylor expansion of x.im in y.re 8.764 * [backup-simplify]: Simplify x.im into x.im 8.764 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.764 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.764 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 8.764 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 8.764 * [taylor]: Taking taylor expansion of y.re in y.re 8.764 * [backup-simplify]: Simplify 0 into 0 8.764 * [backup-simplify]: Simplify 1 into 1 8.764 * [taylor]: Taking taylor expansion of x.re in y.re 8.764 * [backup-simplify]: Simplify x.re into x.re 8.764 * [backup-simplify]: Simplify (* 0 x.re) into 0 8.765 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 8.765 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 8.765 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 8.765 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 8.765 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 8.765 * [taylor]: Taking taylor expansion of y.im in x.re 8.765 * [backup-simplify]: Simplify y.im into y.im 8.765 * [taylor]: Taking taylor expansion of x.im in x.re 8.765 * [backup-simplify]: Simplify x.im into x.im 8.765 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.765 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.765 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 8.765 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 8.765 * [taylor]: Taking taylor expansion of y.re in x.re 8.765 * [backup-simplify]: Simplify y.re into y.re 8.765 * [taylor]: Taking taylor expansion of x.re in x.re 8.765 * [backup-simplify]: Simplify 0 into 0 8.765 * [backup-simplify]: Simplify 1 into 1 8.765 * [backup-simplify]: Simplify (* y.re 0) into 0 8.766 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 8.766 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 8.766 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 8.766 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 8.766 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 8.766 * [taylor]: Taking taylor expansion of y.im in x.re 8.766 * [backup-simplify]: Simplify y.im into y.im 8.766 * [taylor]: Taking taylor expansion of x.im in x.re 8.766 * [backup-simplify]: Simplify x.im into x.im 8.766 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.766 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.766 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 8.766 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 8.767 * [taylor]: Taking taylor expansion of y.re in x.re 8.767 * [backup-simplify]: Simplify y.re into y.re 8.767 * [taylor]: Taking taylor expansion of x.re in x.re 8.767 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify 1 into 1 8.767 * [backup-simplify]: Simplify (* y.re 0) into 0 8.767 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 8.767 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 8.767 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 8.767 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 8.767 * [taylor]: Taking taylor expansion of y.re in y.re 8.767 * [backup-simplify]: Simplify 0 into 0 8.767 * [backup-simplify]: Simplify 1 into 1 8.768 * [backup-simplify]: Simplify (/ 1 1) into 1 8.768 * [taylor]: Taking taylor expansion of 1 in x.im 8.768 * [backup-simplify]: Simplify 1 into 1 8.769 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 8.769 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 8.769 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 8.769 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 8.769 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 8.769 * [taylor]: Taking taylor expansion of y.im in y.re 8.769 * [backup-simplify]: Simplify y.im into y.im 8.769 * [taylor]: Taking taylor expansion of x.im in y.re 8.769 * [backup-simplify]: Simplify x.im into x.im 8.769 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.769 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.770 * [taylor]: Taking taylor expansion of 0 in x.im 8.770 * [backup-simplify]: Simplify 0 into 0 8.770 * [taylor]: Taking taylor expansion of 1 in y.im 8.770 * [backup-simplify]: Simplify 1 into 1 8.770 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 8.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 8.771 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.771 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 8.771 * [backup-simplify]: Simplify (+ 0 0) into 0 8.771 * [taylor]: Taking taylor expansion of 0 in y.re 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 8.771 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 8.771 * [taylor]: Taking taylor expansion of y.im in x.im 8.771 * [backup-simplify]: Simplify y.im into y.im 8.771 * [taylor]: Taking taylor expansion of x.im in x.im 8.771 * [backup-simplify]: Simplify 0 into 0 8.771 * [backup-simplify]: Simplify 1 into 1 8.771 * [backup-simplify]: Simplify (* y.im 0) into 0 8.771 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 8.772 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 8.772 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 8.772 * [taylor]: Taking taylor expansion of y.im in y.im 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [backup-simplify]: Simplify (/ 1 1) into 1 8.772 * [backup-simplify]: Simplify 1 into 1 8.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.772 * [taylor]: Taking taylor expansion of 0 in x.im 8.772 * [backup-simplify]: Simplify 0 into 0 8.772 * [taylor]: Taking taylor expansion of 0 in y.im 8.772 * [backup-simplify]: Simplify 0 into 0 8.773 * [taylor]: Taking taylor expansion of 0 in y.im 8.773 * [backup-simplify]: Simplify 0 into 0 8.773 * [backup-simplify]: Simplify 1 into 1 8.773 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 8.773 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 8.774 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 8.774 * [backup-simplify]: Simplify (+ 0 0) into 0 8.774 * [taylor]: Taking taylor expansion of 0 in y.re 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [taylor]: Taking taylor expansion of 0 in x.im 8.774 * [backup-simplify]: Simplify 0 into 0 8.774 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 8.774 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 8.774 * [taylor]: Taking taylor expansion of 0 in x.im 8.774 * [backup-simplify]: Simplify 0 into 0 8.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.775 * [taylor]: Taking taylor expansion of 0 in x.im 8.775 * [backup-simplify]: Simplify 0 into 0 8.775 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 8.775 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 8.775 * [taylor]: Taking taylor expansion of 0 in y.im 8.775 * [backup-simplify]: Simplify 0 into 0 8.775 * [taylor]: Taking taylor expansion of 0 in y.im 8.775 * [backup-simplify]: Simplify 0 into 0 8.775 * [taylor]: Taking taylor expansion of 0 in y.im 8.775 * [backup-simplify]: Simplify 0 into 0 8.776 * [taylor]: Taking taylor expansion of 0 in y.im 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.776 * [backup-simplify]: Simplify 0 into 0 8.777 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 8.777 * [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 8.777 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 8.778 * [backup-simplify]: Simplify (+ 0 0) into 0 8.778 * [taylor]: Taking taylor expansion of 0 in y.re 8.778 * [backup-simplify]: Simplify 0 into 0 8.778 * [taylor]: Taking taylor expansion of 0 in x.im 8.778 * [backup-simplify]: Simplify 0 into 0 8.778 * [taylor]: Taking taylor expansion of 0 in x.im 8.778 * [backup-simplify]: Simplify 0 into 0 8.778 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 8.778 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 8.778 * [taylor]: Taking taylor expansion of 0 in x.im 8.778 * [backup-simplify]: Simplify 0 into 0 8.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.779 * [taylor]: Taking taylor expansion of 0 in x.im 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [taylor]: Taking taylor expansion of 0 in y.im 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [taylor]: Taking taylor expansion of 0 in y.im 8.779 * [backup-simplify]: Simplify 0 into 0 8.779 * [taylor]: Taking taylor expansion of 0 in y.im 8.779 * [backup-simplify]: Simplify 0 into 0 8.780 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.780 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 8.780 * [taylor]: Taking taylor expansion of 0 in y.im 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [taylor]: Taking taylor expansion of 0 in y.im 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [taylor]: Taking taylor expansion of 0 in y.im 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [taylor]: Taking taylor expansion of 0 in y.im 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [backup-simplify]: Simplify 0 into 0 8.780 * [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)) 8.781 * [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))) 8.781 * [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 8.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.im 8.781 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.im 8.781 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.im 8.781 * [taylor]: Taking taylor expansion of y.im in y.im 8.781 * [backup-simplify]: Simplify 0 into 0 8.781 * [backup-simplify]: Simplify 1 into 1 8.781 * [taylor]: Taking taylor expansion of x.im in y.im 8.781 * [backup-simplify]: Simplify x.im into x.im 8.781 * [backup-simplify]: Simplify (* 0 x.im) into 0 8.781 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.im)) into x.im 8.781 * [backup-simplify]: Simplify (/ 1 x.im) into (/ 1 x.im) 8.781 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.im 8.781 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.im 8.781 * [taylor]: Taking taylor expansion of y.re in y.im 8.781 * [backup-simplify]: Simplify y.re into y.re 8.781 * [taylor]: Taking taylor expansion of x.re in y.im 8.781 * [backup-simplify]: Simplify x.re into x.re 8.781 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 8.781 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 8.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.im 8.781 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 8.781 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 8.781 * [taylor]: Taking taylor expansion of y.im in x.im 8.781 * [backup-simplify]: Simplify y.im into y.im 8.781 * [taylor]: Taking taylor expansion of x.im in x.im 8.782 * [backup-simplify]: Simplify 0 into 0 8.782 * [backup-simplify]: Simplify 1 into 1 8.782 * [backup-simplify]: Simplify (* y.im 0) into 0 8.782 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 8.782 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 8.782 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.im 8.782 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.im 8.782 * [taylor]: Taking taylor expansion of y.re in x.im 8.782 * [backup-simplify]: Simplify y.re into y.re 8.782 * [taylor]: Taking taylor expansion of x.re in x.im 8.782 * [backup-simplify]: Simplify x.re into x.re 8.782 * [backup-simplify]: Simplify (* y.re x.re) into (* y.re x.re) 8.782 * [backup-simplify]: Simplify (/ 1 (* y.re x.re)) into (/ 1 (* y.re x.re)) 8.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in y.re 8.782 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 8.782 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 8.782 * [taylor]: Taking taylor expansion of y.im in y.re 8.782 * [backup-simplify]: Simplify y.im into y.im 8.782 * [taylor]: Taking taylor expansion of x.im in y.re 8.782 * [backup-simplify]: Simplify x.im into x.im 8.782 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.782 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.782 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in y.re 8.782 * [taylor]: Taking taylor expansion of (* y.re x.re) in y.re 8.782 * [taylor]: Taking taylor expansion of y.re in y.re 8.782 * [backup-simplify]: Simplify 0 into 0 8.782 * [backup-simplify]: Simplify 1 into 1 8.782 * [taylor]: Taking taylor expansion of x.re in y.re 8.782 * [backup-simplify]: Simplify x.re into x.re 8.782 * [backup-simplify]: Simplify (* 0 x.re) into 0 8.783 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 x.re)) into x.re 8.783 * [backup-simplify]: Simplify (/ 1 x.re) into (/ 1 x.re) 8.783 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 8.783 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 8.783 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 8.783 * [taylor]: Taking taylor expansion of y.im in x.re 8.783 * [backup-simplify]: Simplify y.im into y.im 8.783 * [taylor]: Taking taylor expansion of x.im in x.re 8.783 * [backup-simplify]: Simplify x.im into x.im 8.783 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.783 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.783 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 8.783 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 8.783 * [taylor]: Taking taylor expansion of y.re in x.re 8.783 * [backup-simplify]: Simplify y.re into y.re 8.783 * [taylor]: Taking taylor expansion of x.re in x.re 8.783 * [backup-simplify]: Simplify 0 into 0 8.783 * [backup-simplify]: Simplify 1 into 1 8.783 * [backup-simplify]: Simplify (* y.re 0) into 0 8.784 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 8.784 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 8.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (* y.im x.im)) (/ 1 (* y.re x.re))) in x.re 8.784 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.re 8.784 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.re 8.784 * [taylor]: Taking taylor expansion of y.im in x.re 8.784 * [backup-simplify]: Simplify y.im into y.im 8.784 * [taylor]: Taking taylor expansion of x.im in x.re 8.784 * [backup-simplify]: Simplify x.im into x.im 8.784 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.784 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.784 * [taylor]: Taking taylor expansion of (/ 1 (* y.re x.re)) in x.re 8.784 * [taylor]: Taking taylor expansion of (* y.re x.re) in x.re 8.784 * [taylor]: Taking taylor expansion of y.re in x.re 8.784 * [backup-simplify]: Simplify y.re into y.re 8.784 * [taylor]: Taking taylor expansion of x.re in x.re 8.784 * [backup-simplify]: Simplify 0 into 0 8.784 * [backup-simplify]: Simplify 1 into 1 8.784 * [backup-simplify]: Simplify (* y.re 0) into 0 8.784 * [backup-simplify]: Simplify (+ (* y.re 1) (* 0 0)) into y.re 8.784 * [backup-simplify]: Simplify (/ 1 y.re) into (/ 1 y.re) 8.785 * [backup-simplify]: Simplify (+ 0 (/ 1 y.re)) into (/ 1 y.re) 8.785 * [taylor]: Taking taylor expansion of (/ 1 y.re) in y.re 8.785 * [taylor]: Taking taylor expansion of y.re in y.re 8.785 * [backup-simplify]: Simplify 0 into 0 8.785 * [backup-simplify]: Simplify 1 into 1 8.785 * [backup-simplify]: Simplify (/ 1 1) into 1 8.785 * [taylor]: Taking taylor expansion of 1 in x.im 8.785 * [backup-simplify]: Simplify 1 into 1 8.785 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 1) (* 0 0))) into 0 8.785 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)))) into 0 8.786 * [backup-simplify]: Simplify (+ (/ 1 (* y.im x.im)) 0) into (/ 1 (* y.im x.im)) 8.786 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in y.re 8.786 * [taylor]: Taking taylor expansion of (* y.im x.im) in y.re 8.786 * [taylor]: Taking taylor expansion of y.im in y.re 8.786 * [backup-simplify]: Simplify y.im into y.im 8.786 * [taylor]: Taking taylor expansion of x.im in y.re 8.786 * [backup-simplify]: Simplify x.im into x.im 8.786 * [backup-simplify]: Simplify (* y.im x.im) into (* y.im x.im) 8.786 * [backup-simplify]: Simplify (/ 1 (* y.im x.im)) into (/ 1 (* y.im x.im)) 8.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.786 * [taylor]: Taking taylor expansion of 0 in x.im 8.786 * [backup-simplify]: Simplify 0 into 0 8.786 * [taylor]: Taking taylor expansion of 1 in y.im 8.786 * [backup-simplify]: Simplify 1 into 1 8.786 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 8.786 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 8.787 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.787 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 8.787 * [backup-simplify]: Simplify (+ 0 0) into 0 8.787 * [taylor]: Taking taylor expansion of 0 in y.re 8.787 * [backup-simplify]: Simplify 0 into 0 8.787 * [taylor]: Taking taylor expansion of (/ 1 (* y.im x.im)) in x.im 8.787 * [taylor]: Taking taylor expansion of (* y.im x.im) in x.im 8.787 * [taylor]: Taking taylor expansion of y.im in x.im 8.787 * [backup-simplify]: Simplify y.im into y.im 8.787 * [taylor]: Taking taylor expansion of x.im in x.im 8.787 * [backup-simplify]: Simplify 0 into 0 8.787 * [backup-simplify]: Simplify 1 into 1 8.787 * [backup-simplify]: Simplify (* y.im 0) into 0 8.788 * [backup-simplify]: Simplify (+ (* y.im 1) (* 0 0)) into y.im 8.788 * [backup-simplify]: Simplify (/ 1 y.im) into (/ 1 y.im) 8.788 * [taylor]: Taking taylor expansion of (/ 1 y.im) in y.im 8.788 * [taylor]: Taking taylor expansion of y.im in y.im 8.788 * [backup-simplify]: Simplify 0 into 0 8.788 * [backup-simplify]: Simplify 1 into 1 8.788 * [backup-simplify]: Simplify (/ 1 1) into 1 8.788 * [backup-simplify]: Simplify 1 into 1 8.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.789 * [taylor]: Taking taylor expansion of 0 in x.im 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [taylor]: Taking taylor expansion of 0 in y.im 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [taylor]: Taking taylor expansion of 0 in y.im 8.789 * [backup-simplify]: Simplify 0 into 0 8.789 * [backup-simplify]: Simplify 1 into 1 8.789 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 8.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 8.790 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 8.790 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 8.791 * [backup-simplify]: Simplify (+ 0 0) into 0 8.791 * [taylor]: Taking taylor expansion of 0 in y.re 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * [taylor]: Taking taylor expansion of 0 in x.im 8.791 * [backup-simplify]: Simplify 0 into 0 8.791 * [backup-simplify]: Simplify (+ (* y.im 0) (* 0 x.im)) into 0 8.791 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))))) into 0 8.791 * [taylor]: Taking taylor expansion of 0 in x.im 8.791 * [backup-simplify]: Simplify 0 into 0 8.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.792 * [taylor]: Taking taylor expansion of 0 in x.im 8.792 * [backup-simplify]: Simplify 0 into 0 8.793 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 1) (* 0 0))) into 0 8.793 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)))) into 0 8.793 * [taylor]: Taking taylor expansion of 0 in y.im 8.793 * [backup-simplify]: Simplify 0 into 0 8.793 * [taylor]: Taking taylor expansion of 0 in y.im 8.793 * [backup-simplify]: Simplify 0 into 0 8.793 * [taylor]: Taking taylor expansion of 0 in y.im 8.793 * [backup-simplify]: Simplify 0 into 0 8.794 * [taylor]: Taking taylor expansion of 0 in y.im 8.794 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 8.794 * [backup-simplify]: Simplify 0 into 0 8.794 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify 0 into 0 8.795 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 0) (* 0 x.im)))) into 0 8.796 * [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 8.797 * [backup-simplify]: Simplify (+ (* y.re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))))) into 0 8.797 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.re) (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)) (* 0 (/ 0 y.re)))) into 0 8.798 * [backup-simplify]: Simplify (+ 0 0) into 0 8.798 * [taylor]: Taking taylor expansion of 0 in y.re 8.798 * [backup-simplify]: Simplify 0 into 0 8.798 * [taylor]: Taking taylor expansion of 0 in x.im 8.798 * [backup-simplify]: Simplify 0 into 0 8.798 * [taylor]: Taking taylor expansion of 0 in x.im 8.798 * [backup-simplify]: Simplify 0 into 0 8.798 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (* 0 x.im))) into 0 8.799 * [backup-simplify]: Simplify (- (+ (* (/ 1 (* y.im x.im)) (/ 0 (* y.im x.im))) (* 0 (/ 0 (* y.im x.im))))) into 0 8.799 * [taylor]: Taking taylor expansion of 0 in x.im 8.799 * [backup-simplify]: Simplify 0 into 0 8.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 8.800 * [taylor]: Taking taylor expansion of 0 in x.im 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [taylor]: Taking taylor expansion of 0 in y.im 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [taylor]: Taking taylor expansion of 0 in y.im 8.800 * [backup-simplify]: Simplify 0 into 0 8.800 * [taylor]: Taking taylor expansion of 0 in y.im 8.800 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify (+ (* y.im 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 8.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 y.im) (/ 0 y.im)) (* 0 (/ 0 y.im)))) into 0 8.801 * [taylor]: Taking taylor expansion of 0 in y.im 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [taylor]: Taking taylor expansion of 0 in y.im 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [taylor]: Taking taylor expansion of 0 in y.im 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [taylor]: Taking taylor expansion of 0 in y.im 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify 0 into 0 8.801 * [backup-simplify]: Simplify 0 into 0 8.802 * [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)) 8.802 * * * [progress]: simplifying candidates 8.803 * [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)) 8.806 * * [simplify]: Extracting # 0 : cost 0 8.806 * * [simplify]: Extracting # 1 : cost 0 8.806 * * [simplify]: Extracting # 2 : cost 0 8.806 * * [simplify]: Extracting # 3 : cost 0 8.806 * * [simplify]: Extracting # 4 : cost 0 8.806 * * [simplify]: Extracting # 5 : cost 0 8.806 * * [simplify]: Extracting # 6 : cost 0 8.807 * * [simplify]: iteration 0 : 117 enodes (cost 1780 ) 8.841 * * [simplify]: Extracting # 0 : cost 0 8.841 * * [simplify]: Extracting # 1 : cost 0 8.842 * * [simplify]: Extracting # 2 : cost 0 8.843 * * [simplify]: Extracting # 3 : cost 0 8.843 * * [simplify]: Extracting # 4 : cost 0 8.844 * * [simplify]: iteration 1 : 275 enodes (cost 1649 ) 8.964 * * [simplify]: Extracting # 0 : cost 0 8.965 * * [simplify]: Extracting # 1 : cost 0 8.966 * * [simplify]: Extracting # 2 : cost 0 8.967 * * [simplify]: Extracting # 3 : cost 0 8.968 * * [simplify]: Extracting # 4 : cost 0 8.969 * * [simplify]: Extracting # 5 : cost 0 8.969 * * [simplify]: iteration 2 : 775 enodes (cost 1541 ) 9.353 * * [simplify]: Extracting # 0 : cost 0 9.357 * * [simplify]: Extracting # 1 : cost 0 9.362 * * [simplify]: Extracting # 2 : cost 0 9.365 * * [simplify]: Extracting # 3 : cost 0 9.369 * * [simplify]: Extracting # 4 : cost 0 9.372 * * [simplify]: iteration 3 : 2060 enodes (cost 1525 ) 10.512 * * [simplify]: Extracting # 0 : cost 0 10.521 * * [simplify]: Extracting # 1 : cost 0 10.530 * * [simplify]: Extracting # 2 : cost 0 10.538 * * [simplify]: Extracting # 3 : cost 0 10.553 * * [simplify]: Extracting # 4 : cost 0 10.563 * * [simplify]: iteration done: 5000 enodes (cost 1525 ) 10.564 * [simplify]: Simplified to: (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1 (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (pow y.im 6) (pow y.re 6))) (sqrt (+ (pow y.im 4) (* (* y.re y.re) (- (* y.re y.re) (* y.im y.im))))) (sqrt (- (pow y.re 4) (pow y.im 4))) (sqrt (- (* y.re y.re) (* y.im y.im))) 1/2 (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (log (sqrt (+ (* y.re y.re) (* y.im y.im)))) (exp (sqrt (+ (* y.re y.re) (* y.im y.im)))) (* (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (cbrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (pow (sqrt (+ (* y.re y.re) (* y.im y.im))) 3) (fabs (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (cbrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im)))) 1 (sqrt (+ (* y.re y.re) (* y.im y.im))) (sqrt (+ (pow y.im 6) (pow y.re 6))) (sqrt (+ (pow y.im 4) (* (* y.re y.re) (- (* y.re y.re) (* y.im y.im))))) (sqrt (- (pow y.re 4) (pow y.im 4))) (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)) (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))))) (pow (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3) (* (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))))) (pow (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (+ (* y.re y.re) (* y.im y.im)))) 3) (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)))) (fabs (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)))) (/ (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)))) (/ (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 (+ (* y.im x.im) (* y.re x.re))) (fabs (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 (+ (* 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))) (/ (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 (fabs (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 (/ (+ (* 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 (/ (+ (* 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)))))) (/ (+ (* y.im x.im) (* y.re x.re)) (fabs (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))))) (+ (* y.im x.im) (* y.re x.re)) (/ (+ (* x.re y.re) (* x.im y.im)) (sqrt (sqrt (+ (* y.re y.re) (* y.im y.im))))) (+ (* y.im x.im) (* y.re x.re)) (/ (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))) (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (+ (pow y.im 6) (pow y.re 6)))) (/ (+ (* y.im x.im) (* y.re x.re)) (sqrt (- (pow y.re 4) (pow y.im 4)))) (* (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))))) (* (sqrt (+ (* y.re y.re) (* y.im y.im))) (- (* x.re y.re) (* x.im y.im))) (exp (+ (* x.re y.re) (* x.im y.im))) (log (+ (* x.re y.re) (* x.im y.im))) (exp (+ (* x.re y.re) (* x.im y.im))) (* (cbrt (+ (* x.re y.re) (* x.im y.im))) (cbrt (+ (* x.re y.re) (* x.im y.im)))) (cbrt (+ (* x.re y.re) (* x.im y.im))) (pow (+ (* y.im x.im) (* y.re x.re)) 3) (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.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 (- y.re) y.im y.re (- y.re) x.im x.re (- x.re) 0 (+ (* y.im x.im) (* y.re x.re)) (+ (* y.im x.im) (* y.re x.re)) 10.565 * * * [progress]: adding candidates to table 11.360 * [progress]: [Phase 3 of 3] Extracting. 11.360 * * [regime]: Finding splitpoints for: (# # # # # # # # # # # # # #) 11.371 * * * [regime-changes]: Trying 5 branch expressions: ((/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) y.im y.re x.im x.re) 11.371 * * * * [regimes]: Trying to branch on (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) from (# # # # # # # # # # # # # #) 11.453 * * * * [regimes]: Trying to branch on (/ (+ (* x.re y.re) (* x.im y.im)) (+ (* y.re y.re) (* y.im y.im))) from (# #) 11.475 * * * * [regimes]: Trying to branch on y.im from (# # # # # # # # # # # # # #) 11.534 * * * * [regimes]: Trying to branch on y.re from (# # # # # # # # # # # # # #) 11.615 * * * * [regimes]: Trying to branch on x.im from (# # # # # # # # # # # # # #) 11.690 * * * * [regimes]: Trying to branch on x.re from (# # # # # # # # # # # # # #) 11.766 * * * [regime]: Found split indices: #