2.374 * [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: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.029 * [simplify]: Sending expressions to egg_math: (* h0 (sqrt (* h1 (- (sqrt (+ (* h2 h2) (* h3 h3))) h2)))) 0.031 * * [simplify]: iteration 0 : 17 enodes (cost 8 ) 0.032 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.033 * * [simplify]: iteration 2 : 30 enodes (cost 8 ) 0.035 * * [simplify]: iteration 3 : 35 enodes (cost 8 ) 0.036 * * [simplify]: iteration 4 : 35 enodes (cost 8 ) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.048 * * * [progress]: generating rewritten candidates 0.049 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.056 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.097 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.106 * * * [progress]: generating series expansions 0.106 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.106 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.106 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.106 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.106 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.106 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.106 * [taylor]: Taking taylor expansion of re in im 0.106 * [backup-simplify]: Simplify re into re 0.106 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.106 * [taylor]: Taking taylor expansion of im in im 0.106 * [backup-simplify]: Simplify 0 into 0 0.106 * [backup-simplify]: Simplify 1 into 1 0.106 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.107 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.107 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.107 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.107 * [backup-simplify]: Simplify (+ 0 0) into 0 0.107 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.107 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.107 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.107 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.107 * [taylor]: Taking taylor expansion of re in re 0.107 * [backup-simplify]: Simplify 0 into 0 0.107 * [backup-simplify]: Simplify 1 into 1 0.107 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.107 * [taylor]: Taking taylor expansion of im in re 0.107 * [backup-simplify]: Simplify im into im 0.107 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.108 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.108 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.108 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.108 * [backup-simplify]: Simplify (+ 0 0) into 0 0.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.108 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.108 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.108 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.108 * [taylor]: Taking taylor expansion of re in re 0.108 * [backup-simplify]: Simplify 0 into 0 0.108 * [backup-simplify]: Simplify 1 into 1 0.108 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.108 * [taylor]: Taking taylor expansion of im in re 0.108 * [backup-simplify]: Simplify im into im 0.108 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.108 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.108 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.108 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.109 * [backup-simplify]: Simplify (+ 0 0) into 0 0.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.109 * [taylor]: Taking taylor expansion of im in im 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [taylor]: Taking taylor expansion of 0 in im 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 0 into 0 0.109 * [backup-simplify]: Simplify 1 into 1 0.109 * [backup-simplify]: Simplify (* 1 1) into 1 0.110 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.110 * [backup-simplify]: Simplify (+ 1 0) into 1 0.111 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.111 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.111 * [taylor]: Taking taylor expansion of 1/2 in im 0.111 * [backup-simplify]: Simplify 1/2 into 1/2 0.111 * [taylor]: Taking taylor expansion of im in im 0.111 * [backup-simplify]: Simplify 0 into 0 0.111 * [backup-simplify]: Simplify 1 into 1 0.111 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.112 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify 0 into 0 0.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.113 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.113 * [backup-simplify]: Simplify (+ 0 0) into 0 0.113 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.113 * [taylor]: Taking taylor expansion of 0 in im 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.114 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.114 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.114 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.114 * [taylor]: Taking taylor expansion of im in im 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [backup-simplify]: Simplify (* 1 1) into 1 0.114 * [backup-simplify]: Simplify (/ 1 1) into 1 0.114 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.114 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.114 * [taylor]: Taking taylor expansion of re in im 0.114 * [backup-simplify]: Simplify re into re 0.114 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.115 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.115 * [backup-simplify]: Simplify (+ 1 0) into 1 0.115 * [backup-simplify]: Simplify (sqrt 1) into 1 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 (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.116 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.116 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.116 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.116 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.117 * [taylor]: Taking taylor expansion of im in re 0.117 * [backup-simplify]: Simplify im into im 0.117 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.117 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.117 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.117 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.117 * [taylor]: Taking taylor expansion of re in re 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.117 * [backup-simplify]: Simplify (* 1 1) into 1 0.117 * [backup-simplify]: Simplify (/ 1 1) into 1 0.118 * [backup-simplify]: Simplify (+ 0 1) into 1 0.118 * [backup-simplify]: Simplify (sqrt 1) into 1 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.119 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.119 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.119 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.119 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.119 * [taylor]: Taking taylor expansion of im in re 0.119 * [backup-simplify]: Simplify im into im 0.119 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.120 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.120 * [taylor]: Taking taylor expansion of re in re 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 1 into 1 0.120 * [backup-simplify]: Simplify (* 1 1) into 1 0.120 * [backup-simplify]: Simplify (/ 1 1) into 1 0.120 * [backup-simplify]: Simplify (+ 0 1) into 1 0.121 * [backup-simplify]: Simplify (sqrt 1) into 1 0.121 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.121 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.121 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.122 * [taylor]: Taking taylor expansion of 1 in im 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of 0 in im 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.123 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.123 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.123 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.124 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.124 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.124 * [taylor]: Taking taylor expansion of 1/2 in im 0.124 * [backup-simplify]: Simplify 1/2 into 1/2 0.124 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.124 * [taylor]: Taking taylor expansion of im in im 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify 0 into 0 0.125 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.126 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.126 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.127 * [taylor]: Taking taylor expansion of 0 in im 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.128 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.129 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.129 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.129 * [taylor]: Taking taylor expansion of im in im 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (* 1 1) into 1 0.129 * [backup-simplify]: Simplify (/ 1 1) into 1 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.129 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.129 * [taylor]: Taking taylor expansion of re in im 0.129 * [backup-simplify]: Simplify re into re 0.129 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.129 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.130 * [backup-simplify]: Simplify (+ 1 0) into 1 0.130 * [backup-simplify]: Simplify (sqrt 1) into 1 0.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.131 * [backup-simplify]: Simplify (+ 0 0) into 0 0.131 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.131 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.131 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.131 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.131 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.131 * [taylor]: Taking taylor expansion of im in re 0.131 * [backup-simplify]: Simplify im into im 0.131 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.132 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.132 * [taylor]: Taking taylor expansion of re in re 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 1 into 1 0.132 * [backup-simplify]: Simplify (* 1 1) into 1 0.132 * [backup-simplify]: Simplify (/ 1 1) into 1 0.132 * [backup-simplify]: Simplify (+ 0 1) into 1 0.132 * [backup-simplify]: Simplify (sqrt 1) into 1 0.133 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.134 * [taylor]: Taking taylor expansion of im in re 0.134 * [backup-simplify]: Simplify im into im 0.134 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.134 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.134 * [taylor]: Taking taylor expansion of re in re 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [backup-simplify]: Simplify (+ 0 1) into 1 0.135 * [backup-simplify]: Simplify (sqrt 1) into 1 0.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.137 * [taylor]: Taking taylor expansion of 1 in im 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [taylor]: Taking taylor expansion of 0 in im 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.138 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.139 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.139 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.139 * [taylor]: Taking taylor expansion of 1/2 in im 0.139 * [backup-simplify]: Simplify 1/2 into 1/2 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.139 * [taylor]: Taking taylor expansion of im in im 0.139 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify 1 into 1 0.139 * [backup-simplify]: Simplify (* 1 1) into 1 0.139 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.140 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.142 * [taylor]: Taking taylor expansion of 0 in im 0.142 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.143 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.143 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.144 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.144 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.144 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.144 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.144 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.144 * [taylor]: Taking taylor expansion of re in im 0.144 * [backup-simplify]: Simplify re into re 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.144 * [taylor]: Taking taylor expansion of im in im 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.144 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.144 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.144 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.144 * [backup-simplify]: Simplify (+ 0 0) into 0 0.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.144 * [taylor]: Taking taylor expansion of re in im 0.144 * [backup-simplify]: Simplify re into re 0.144 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.144 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.144 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.145 * [taylor]: Taking taylor expansion of im in re 0.145 * [backup-simplify]: Simplify im into im 0.145 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.145 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.145 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.145 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.145 * [taylor]: Taking taylor expansion of re in re 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.145 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.145 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.145 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.145 * [taylor]: Taking taylor expansion of re in re 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.145 * [taylor]: Taking taylor expansion of im in re 0.145 * [backup-simplify]: Simplify im into im 0.145 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.145 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.146 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.146 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.146 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.146 * [taylor]: Taking taylor expansion of re in re 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (- 0) into 0 0.146 * [backup-simplify]: Simplify (+ im 0) into im 0.146 * [taylor]: Taking taylor expansion of im in im 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify 0 into 0 0.147 * [backup-simplify]: Simplify (- 1) into -1 0.147 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.147 * [taylor]: Taking taylor expansion of -1 in im 0.147 * [backup-simplify]: Simplify -1 into -1 0.147 * [backup-simplify]: Simplify -1 into -1 0.147 * [backup-simplify]: Simplify 1 into 1 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.148 * [backup-simplify]: Simplify (+ 1 0) into 1 0.148 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.148 * [backup-simplify]: Simplify (- 0) into 0 0.148 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.148 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.148 * [taylor]: Taking taylor expansion of 1/2 in im 0.148 * [backup-simplify]: Simplify 1/2 into 1/2 0.148 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.148 * [taylor]: Taking taylor expansion of im in im 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.150 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.151 * [backup-simplify]: Simplify (- 0) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.152 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.153 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.153 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.153 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.153 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.153 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.153 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.153 * [taylor]: Taking taylor expansion of im in im 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 1 into 1 0.153 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.153 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.153 * [taylor]: Taking taylor expansion of re in im 0.153 * [backup-simplify]: Simplify re into re 0.153 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.153 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.154 * [backup-simplify]: Simplify (+ 1 0) into 1 0.154 * [backup-simplify]: Simplify (sqrt 1) into 1 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.155 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.155 * [taylor]: Taking taylor expansion of re in im 0.155 * [backup-simplify]: Simplify re into re 0.155 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.155 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.155 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.155 * [taylor]: Taking taylor expansion of im in re 0.155 * [backup-simplify]: Simplify im into im 0.156 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.156 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.156 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.156 * [taylor]: Taking taylor expansion of re in re 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [backup-simplify]: Simplify (+ 0 1) into 1 0.157 * [backup-simplify]: Simplify (sqrt 1) into 1 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 (/ 0 (* 2 (sqrt 1))) into 0 0.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.158 * [taylor]: Taking taylor expansion of im in re 0.158 * [backup-simplify]: Simplify im into im 0.158 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.159 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (+ 0 1) into 1 0.160 * [backup-simplify]: Simplify (sqrt 1) into 1 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (/ 1 1) into 1 0.164 * [backup-simplify]: Simplify (- 1) into -1 0.164 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.164 * [taylor]: Taking taylor expansion of 0 in im 0.164 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (- 0) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [taylor]: Taking taylor expansion of 0 in im 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.167 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.168 * [taylor]: Taking taylor expansion of 1/2 in im 0.168 * [backup-simplify]: Simplify 1/2 into 1/2 0.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.168 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 1 into 1 0.168 * [backup-simplify]: Simplify (* 1 1) into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.170 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.171 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (- 0) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.173 * [taylor]: Taking taylor expansion of 0 in im 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.175 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.175 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.175 * [taylor]: Taking taylor expansion of re in im 0.175 * [backup-simplify]: Simplify re into re 0.175 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.175 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.175 * [taylor]: Taking taylor expansion of im in im 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.175 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.175 * [taylor]: Taking taylor expansion of re in im 0.175 * [backup-simplify]: Simplify re into re 0.175 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.175 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.176 * [backup-simplify]: Simplify (+ 1 0) into 1 0.176 * [backup-simplify]: Simplify (sqrt 1) into 1 0.176 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.177 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.177 * [taylor]: Taking taylor expansion of re in re 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.178 * [taylor]: Taking taylor expansion of im in re 0.178 * [backup-simplify]: Simplify im into im 0.178 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.178 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.178 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (* 1 1) into 1 0.178 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [backup-simplify]: Simplify (+ 0 1) into 1 0.179 * [backup-simplify]: Simplify (sqrt 1) into 1 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.180 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.180 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.180 * [taylor]: Taking taylor expansion of re in 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 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.181 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.181 * [taylor]: Taking taylor expansion of im in re 0.181 * [backup-simplify]: Simplify im into im 0.181 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.181 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.181 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.181 * [taylor]: Taking taylor expansion of re in re 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (* 1 1) into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [backup-simplify]: Simplify (+ 0 1) into 1 0.182 * [backup-simplify]: Simplify (sqrt 1) into 1 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.183 * [backup-simplify]: Simplify (+ 1 1) into 2 0.183 * [taylor]: Taking taylor expansion of 2 in im 0.183 * [backup-simplify]: Simplify 2 into 2 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [taylor]: Taking taylor expansion of 0 in im 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 2 into 2 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.186 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.187 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.187 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.187 * [taylor]: Taking taylor expansion of 1/2 in im 0.187 * [backup-simplify]: Simplify 1/2 into 1/2 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.187 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.187 * [taylor]: Taking taylor expansion of im in im 0.187 * [backup-simplify]: Simplify 0 into 0 0.187 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (* 1 1) into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.190 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.191 * [backup-simplify]: Simplify (+ 0 0) into 0 0.191 * [taylor]: Taking taylor expansion of 0 in im 0.191 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.193 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.193 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.193 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.193 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.193 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.193 * [taylor]: Taking taylor expansion of re in im 0.193 * [backup-simplify]: Simplify re into re 0.193 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.193 * [taylor]: Taking taylor expansion of im in im 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.193 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.193 * [taylor]: Taking taylor expansion of re in re 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.193 * [taylor]: Taking taylor expansion of im in re 0.193 * [backup-simplify]: Simplify im into im 0.193 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.193 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.193 * [taylor]: Taking taylor expansion of re in re 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.193 * [taylor]: Taking taylor expansion of im in re 0.193 * [backup-simplify]: Simplify im into im 0.194 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.194 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.194 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.194 * [taylor]: Taking taylor expansion of im in im 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in im 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (* 1 1) into 1 0.195 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.195 * [backup-simplify]: Simplify (+ 1 0) into 1 0.195 * [taylor]: Taking taylor expansion of 1 in im 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (* 1 1) into 1 0.195 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.196 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [taylor]: Taking taylor expansion of 0 in im 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.198 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [taylor]: Taking taylor expansion of 0 in 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 (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.199 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.199 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.199 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.199 * [taylor]: Taking taylor expansion of im in im 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.199 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.199 * [taylor]: Taking taylor expansion of re in im 0.199 * [backup-simplify]: Simplify re into re 0.199 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.199 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.199 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.199 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.199 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.199 * [taylor]: Taking taylor expansion of im in re 0.199 * [backup-simplify]: Simplify im into im 0.199 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.200 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.200 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (* 1 1) into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.200 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.200 * [taylor]: Taking taylor expansion of im in re 0.200 * [backup-simplify]: Simplify im into im 0.200 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.200 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.200 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [backup-simplify]: Simplify (+ 0 1) into 1 0.201 * [taylor]: Taking taylor expansion of 1 in im 0.201 * [backup-simplify]: Simplify 1 into 1 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [taylor]: Taking taylor expansion of 0 in im 0.202 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.203 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.203 * [taylor]: Taking taylor expansion of im in im 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (* 1 1) into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.204 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [taylor]: Taking taylor expansion of 0 in im 0.205 * [backup-simplify]: Simplify 0 into 0 0.206 * [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 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.207 * [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 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [taylor]: Taking taylor expansion of 0 in im 0.208 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.209 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.210 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.210 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.210 * [taylor]: Taking taylor expansion of im in im 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.210 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.210 * [taylor]: Taking taylor expansion of re in im 0.210 * [backup-simplify]: Simplify re into re 0.210 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.210 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.210 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.210 * [taylor]: Taking taylor expansion of im in re 0.210 * [backup-simplify]: Simplify im into im 0.210 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.211 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.211 * [taylor]: Taking taylor expansion of re in re 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.211 * [taylor]: Taking taylor expansion of im in re 0.211 * [backup-simplify]: Simplify im into im 0.211 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.211 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.211 * [taylor]: Taking taylor expansion of re in re 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (* 1 1) into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify (+ 0 1) into 1 0.212 * [taylor]: Taking taylor expansion of 1 in im 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.213 * [taylor]: Taking taylor expansion of 0 in im 0.213 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.214 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.214 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (* 1 1) into 1 0.215 * [backup-simplify]: Simplify (/ 1 1) into 1 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify 1 into 1 0.215 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [taylor]: Taking taylor expansion of 0 in im 0.216 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.218 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [taylor]: Taking taylor expansion of 0 in im 0.219 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.221 * * * [progress]: simplifying candidates 0.221 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.222 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (exp h0)) (log (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (exp (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (cbrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (cbrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (* (- (sqrt (+ (* h0 h0) (* h1 h1))) h0) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (- (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3)) (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (+ (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (- h0) (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (- (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (+ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (- (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0) (- h0) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) h1 h0 (* -1 h0) (- h1 h0) 0 (* -2 h0) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.225 * * [simplify]: iteration 0 : 172 enodes (cost 305 ) 0.229 * * [simplify]: iteration 1 : 661 enodes (cost 282 ) 0.240 * * [simplify]: iteration 2 : 1936 enodes (cost 278 ) 0.287 * * [simplify]: iteration 3 : 5002 enodes (cost 276 ) 0.289 * * * [progress]: adding candidates to table 0.419 * * [progress]: iteration 2 / 4 0.419 * * * [progress]: picking best candidate 0.428 * * * * [pick]: Picked # 0.429 * * * [progress]: localizing error 0.442 * * * [progress]: generating rewritten candidates 0.443 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 0.450 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.511 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 0.521 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 0.530 * * * [progress]: generating series expansions 0.530 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 0.530 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.530 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.530 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.530 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.530 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.530 * [taylor]: Taking taylor expansion of re in im 0.530 * [backup-simplify]: Simplify re into re 0.530 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.530 * [taylor]: Taking taylor expansion of im in im 0.530 * [backup-simplify]: Simplify 0 into 0 0.530 * [backup-simplify]: Simplify 1 into 1 0.530 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.530 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.530 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.531 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.531 * [backup-simplify]: Simplify (+ 0 0) into 0 0.531 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.531 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.531 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.531 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.531 * [taylor]: Taking taylor expansion of re in re 0.531 * [backup-simplify]: Simplify 0 into 0 0.531 * [backup-simplify]: Simplify 1 into 1 0.531 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.531 * [taylor]: Taking taylor expansion of im in re 0.531 * [backup-simplify]: Simplify im into im 0.531 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.531 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.531 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.531 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.532 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.532 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.532 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.532 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.532 * [taylor]: Taking taylor expansion of re in re 0.532 * [backup-simplify]: Simplify 0 into 0 0.532 * [backup-simplify]: Simplify 1 into 1 0.532 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.532 * [taylor]: Taking taylor expansion of im in re 0.532 * [backup-simplify]: Simplify im into im 0.532 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.532 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.532 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.532 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.532 * [backup-simplify]: Simplify (+ 0 0) into 0 0.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.533 * [taylor]: Taking taylor expansion of im in im 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [taylor]: Taking taylor expansion of 0 in im 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 0 into 0 0.533 * [backup-simplify]: Simplify 1 into 1 0.533 * [backup-simplify]: Simplify (* 1 1) into 1 0.533 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.534 * [backup-simplify]: Simplify (+ 1 0) into 1 0.534 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.534 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.534 * [taylor]: Taking taylor expansion of 1/2 in im 0.534 * [backup-simplify]: Simplify 1/2 into 1/2 0.534 * [taylor]: Taking taylor expansion of im in im 0.534 * [backup-simplify]: Simplify 0 into 0 0.534 * [backup-simplify]: Simplify 1 into 1 0.534 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.535 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify 0 into 0 0.535 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.536 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.536 * [backup-simplify]: Simplify (+ 0 0) into 0 0.536 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.536 * [taylor]: Taking taylor expansion of 0 in im 0.536 * [backup-simplify]: Simplify 0 into 0 0.536 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.537 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.537 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.537 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.537 * [taylor]: Taking taylor expansion of im in im 0.537 * [backup-simplify]: Simplify 0 into 0 0.537 * [backup-simplify]: Simplify 1 into 1 0.537 * [backup-simplify]: Simplify (* 1 1) into 1 0.538 * [backup-simplify]: Simplify (/ 1 1) into 1 0.538 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.538 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.538 * [taylor]: Taking taylor expansion of re in im 0.538 * [backup-simplify]: Simplify re into re 0.538 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.538 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.538 * [backup-simplify]: Simplify (+ 1 0) into 1 0.538 * [backup-simplify]: Simplify (sqrt 1) into 1 0.539 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.539 * [backup-simplify]: Simplify (+ 0 0) into 0 0.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.540 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.540 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.540 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.540 * [taylor]: Taking taylor expansion of im in re 0.540 * [backup-simplify]: Simplify im into im 0.540 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.540 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.540 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.540 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.540 * [taylor]: Taking taylor expansion of re in re 0.540 * [backup-simplify]: Simplify 0 into 0 0.540 * [backup-simplify]: Simplify 1 into 1 0.540 * [backup-simplify]: Simplify (* 1 1) into 1 0.541 * [backup-simplify]: Simplify (/ 1 1) into 1 0.541 * [backup-simplify]: Simplify (+ 0 1) into 1 0.541 * [backup-simplify]: Simplify (sqrt 1) into 1 0.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.542 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.542 * [backup-simplify]: Simplify (+ 0 0) into 0 0.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.543 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.543 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.543 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.543 * [taylor]: Taking taylor expansion of im in re 0.543 * [backup-simplify]: Simplify im into im 0.543 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.543 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.543 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.543 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.543 * [taylor]: Taking taylor expansion of re in re 0.543 * [backup-simplify]: Simplify 0 into 0 0.543 * [backup-simplify]: Simplify 1 into 1 0.543 * [backup-simplify]: Simplify (* 1 1) into 1 0.543 * [backup-simplify]: Simplify (/ 1 1) into 1 0.544 * [backup-simplify]: Simplify (+ 0 1) into 1 0.544 * [backup-simplify]: Simplify (sqrt 1) into 1 0.544 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.544 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.545 * [backup-simplify]: Simplify (+ 0 0) into 0 0.545 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.545 * [taylor]: Taking taylor expansion of 1 in im 0.545 * [backup-simplify]: Simplify 1 into 1 0.545 * [taylor]: Taking taylor expansion of 0 in im 0.545 * [backup-simplify]: Simplify 0 into 0 0.545 * [backup-simplify]: Simplify 1 into 1 0.546 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.546 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.546 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.547 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.547 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.547 * [taylor]: Taking taylor expansion of 1/2 in im 0.547 * [backup-simplify]: Simplify 1/2 into 1/2 0.547 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.547 * [taylor]: Taking taylor expansion of im in im 0.547 * [backup-simplify]: Simplify 0 into 0 0.547 * [backup-simplify]: Simplify 1 into 1 0.547 * [backup-simplify]: Simplify (* 1 1) into 1 0.548 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.548 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify 0 into 0 0.549 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.549 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.549 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.550 * [backup-simplify]: Simplify (+ 0 0) into 0 0.550 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.551 * [taylor]: Taking taylor expansion of 0 in im 0.551 * [backup-simplify]: Simplify 0 into 0 0.553 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.554 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.554 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.554 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.554 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.554 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.554 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.554 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.554 * [taylor]: Taking taylor expansion of im in im 0.554 * [backup-simplify]: Simplify 0 into 0 0.554 * [backup-simplify]: Simplify 1 into 1 0.555 * [backup-simplify]: Simplify (* 1 1) into 1 0.555 * [backup-simplify]: Simplify (/ 1 1) into 1 0.555 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.555 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.555 * [taylor]: Taking taylor expansion of re in im 0.555 * [backup-simplify]: Simplify re into re 0.555 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.555 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.555 * [backup-simplify]: Simplify (+ 1 0) into 1 0.556 * [backup-simplify]: Simplify (sqrt 1) into 1 0.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.557 * [backup-simplify]: Simplify (+ 0 0) into 0 0.557 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.557 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.557 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.557 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.557 * [taylor]: Taking taylor expansion of im in re 0.557 * [backup-simplify]: Simplify im into im 0.557 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.557 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.557 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.557 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.557 * [taylor]: Taking taylor expansion of re in re 0.557 * [backup-simplify]: Simplify 0 into 0 0.557 * [backup-simplify]: Simplify 1 into 1 0.558 * [backup-simplify]: Simplify (* 1 1) into 1 0.558 * [backup-simplify]: Simplify (/ 1 1) into 1 0.558 * [backup-simplify]: Simplify (+ 0 1) into 1 0.558 * [backup-simplify]: Simplify (sqrt 1) into 1 0.559 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.559 * [backup-simplify]: Simplify (+ 0 0) into 0 0.560 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.560 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.560 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.560 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.560 * [taylor]: Taking taylor expansion of im in re 0.560 * [backup-simplify]: Simplify im into im 0.560 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.560 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.560 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.560 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.560 * [taylor]: Taking taylor expansion of re in re 0.560 * [backup-simplify]: Simplify 0 into 0 0.560 * [backup-simplify]: Simplify 1 into 1 0.560 * [backup-simplify]: Simplify (* 1 1) into 1 0.560 * [backup-simplify]: Simplify (/ 1 1) into 1 0.561 * [backup-simplify]: Simplify (+ 0 1) into 1 0.561 * [backup-simplify]: Simplify (sqrt 1) into 1 0.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.562 * [backup-simplify]: Simplify (+ 0 0) into 0 0.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.562 * [taylor]: Taking taylor expansion of 1 in im 0.562 * [backup-simplify]: Simplify 1 into 1 0.562 * [taylor]: Taking taylor expansion of 0 in im 0.562 * [backup-simplify]: Simplify 0 into 0 0.562 * [backup-simplify]: Simplify 1 into 1 0.563 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.563 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.563 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.564 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.564 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.564 * [taylor]: Taking taylor expansion of 1/2 in im 0.564 * [backup-simplify]: Simplify 1/2 into 1/2 0.564 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.564 * [taylor]: Taking taylor expansion of im in im 0.564 * [backup-simplify]: Simplify 0 into 0 0.564 * [backup-simplify]: Simplify 1 into 1 0.565 * [backup-simplify]: Simplify (* 1 1) into 1 0.565 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.565 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.566 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify 0 into 0 0.566 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.566 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.567 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.567 * [backup-simplify]: Simplify (+ 0 0) into 0 0.568 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.568 * [taylor]: Taking taylor expansion of 0 in im 0.568 * [backup-simplify]: Simplify 0 into 0 0.568 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.569 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.569 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.569 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.569 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.569 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.569 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.569 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.569 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.569 * [taylor]: Taking taylor expansion of re in im 0.569 * [backup-simplify]: Simplify re into re 0.569 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.569 * [taylor]: Taking taylor expansion of im in im 0.569 * [backup-simplify]: Simplify 0 into 0 0.569 * [backup-simplify]: Simplify 1 into 1 0.569 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.569 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.570 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.570 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.570 * [backup-simplify]: Simplify (+ 0 0) into 0 0.570 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.570 * [taylor]: Taking taylor expansion of re in im 0.570 * [backup-simplify]: Simplify re into re 0.570 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.570 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.570 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.570 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.570 * [taylor]: Taking taylor expansion of re in re 0.570 * [backup-simplify]: Simplify 0 into 0 0.570 * [backup-simplify]: Simplify 1 into 1 0.570 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.570 * [taylor]: Taking taylor expansion of im in re 0.570 * [backup-simplify]: Simplify im into im 0.570 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.570 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.570 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.570 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.571 * [taylor]: Taking taylor expansion of re in re 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.571 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.571 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.571 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.571 * [taylor]: Taking taylor expansion of re in re 0.571 * [backup-simplify]: Simplify 0 into 0 0.571 * [backup-simplify]: Simplify 1 into 1 0.571 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.571 * [taylor]: Taking taylor expansion of im in re 0.571 * [backup-simplify]: Simplify im into im 0.571 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.571 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.571 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.571 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.571 * [backup-simplify]: Simplify (+ 0 0) into 0 0.572 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.572 * [taylor]: Taking taylor expansion of re in re 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify (- 0) into 0 0.572 * [backup-simplify]: Simplify (+ im 0) into im 0.572 * [taylor]: Taking taylor expansion of im in im 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify 1 into 1 0.572 * [backup-simplify]: Simplify 0 into 0 0.572 * [backup-simplify]: Simplify (- 1) into -1 0.572 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.572 * [taylor]: Taking taylor expansion of -1 in im 0.572 * [backup-simplify]: Simplify -1 into -1 0.572 * [backup-simplify]: Simplify -1 into -1 0.572 * [backup-simplify]: Simplify 1 into 1 0.573 * [backup-simplify]: Simplify (* 1 1) into 1 0.573 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.573 * [backup-simplify]: Simplify (+ 1 0) into 1 0.574 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.574 * [backup-simplify]: Simplify (- 0) into 0 0.574 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.574 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.574 * [taylor]: Taking taylor expansion of 1/2 in im 0.574 * [backup-simplify]: Simplify 1/2 into 1/2 0.574 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.574 * [taylor]: Taking taylor expansion of im in im 0.574 * [backup-simplify]: Simplify 0 into 0 0.574 * [backup-simplify]: Simplify 1 into 1 0.574 * [backup-simplify]: Simplify (/ 1 1) into 1 0.575 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify 0 into 0 0.575 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.576 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.576 * [backup-simplify]: Simplify (+ 0 0) into 0 0.576 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.577 * [backup-simplify]: Simplify (- 0) into 0 0.577 * [backup-simplify]: Simplify (+ 0 0) into 0 0.577 * [taylor]: Taking taylor expansion of 0 in im 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify 0 into 0 0.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.578 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.578 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.578 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.578 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.578 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.578 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.578 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.578 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.578 * [taylor]: Taking taylor expansion of im in im 0.578 * [backup-simplify]: Simplify 0 into 0 0.578 * [backup-simplify]: Simplify 1 into 1 0.579 * [backup-simplify]: Simplify (* 1 1) into 1 0.579 * [backup-simplify]: Simplify (/ 1 1) into 1 0.579 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.579 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.579 * [taylor]: Taking taylor expansion of re in im 0.579 * [backup-simplify]: Simplify re into re 0.579 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.579 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.579 * [backup-simplify]: Simplify (+ 1 0) into 1 0.580 * [backup-simplify]: Simplify (sqrt 1) into 1 0.580 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.580 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.581 * [backup-simplify]: Simplify (+ 0 0) into 0 0.581 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.581 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.581 * [taylor]: Taking taylor expansion of re in im 0.581 * [backup-simplify]: Simplify re into re 0.581 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.581 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.581 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.581 * [taylor]: Taking taylor expansion of im in re 0.581 * [backup-simplify]: Simplify im into im 0.581 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.581 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.581 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.581 * [taylor]: Taking taylor expansion of re in re 0.581 * [backup-simplify]: Simplify 0 into 0 0.581 * [backup-simplify]: Simplify 1 into 1 0.582 * [backup-simplify]: Simplify (* 1 1) into 1 0.582 * [backup-simplify]: Simplify (/ 1 1) into 1 0.582 * [backup-simplify]: Simplify (+ 0 1) into 1 0.582 * [backup-simplify]: Simplify (sqrt 1) into 1 0.583 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.583 * [backup-simplify]: Simplify (+ 0 0) into 0 0.584 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.584 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.584 * [taylor]: Taking taylor expansion of re in re 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.584 * [backup-simplify]: Simplify (/ 1 1) into 1 0.584 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.584 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.584 * [taylor]: Taking taylor expansion of im in re 0.584 * [backup-simplify]: Simplify im into im 0.584 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.584 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.584 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.584 * [taylor]: Taking taylor expansion of re in re 0.584 * [backup-simplify]: Simplify 0 into 0 0.584 * [backup-simplify]: Simplify 1 into 1 0.585 * [backup-simplify]: Simplify (* 1 1) into 1 0.585 * [backup-simplify]: Simplify (/ 1 1) into 1 0.585 * [backup-simplify]: Simplify (+ 0 1) into 1 0.585 * [backup-simplify]: Simplify (sqrt 1) into 1 0.586 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.586 * [backup-simplify]: Simplify (+ 0 0) into 0 0.587 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.587 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.587 * [taylor]: Taking taylor expansion of re in re 0.587 * [backup-simplify]: Simplify 0 into 0 0.587 * [backup-simplify]: Simplify 1 into 1 0.587 * [backup-simplify]: Simplify (/ 1 1) into 1 0.587 * [backup-simplify]: Simplify (- 1) into -1 0.587 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.587 * [taylor]: Taking taylor expansion of 0 in im 0.587 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.588 * [backup-simplify]: Simplify (- 0) into 0 0.588 * [backup-simplify]: Simplify (+ 0 0) into 0 0.588 * [taylor]: Taking taylor expansion of 0 in im 0.588 * [backup-simplify]: Simplify 0 into 0 0.588 * [backup-simplify]: Simplify 0 into 0 0.589 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.590 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.591 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.591 * [backup-simplify]: Simplify (- 0) into 0 0.591 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.591 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.591 * [taylor]: Taking taylor expansion of 1/2 in im 0.591 * [backup-simplify]: Simplify 1/2 into 1/2 0.592 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.592 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.592 * [taylor]: Taking taylor expansion of im in im 0.592 * [backup-simplify]: Simplify 0 into 0 0.592 * [backup-simplify]: Simplify 1 into 1 0.592 * [backup-simplify]: Simplify (* 1 1) into 1 0.592 * [backup-simplify]: Simplify (/ 1 1) into 1 0.592 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.593 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify 0 into 0 0.593 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.594 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.594 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.595 * [backup-simplify]: Simplify (+ 0 0) into 0 0.595 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.596 * [backup-simplify]: Simplify (- 0) into 0 0.596 * [backup-simplify]: Simplify (+ 0 0) into 0 0.596 * [taylor]: Taking taylor expansion of 0 in im 0.596 * [backup-simplify]: Simplify 0 into 0 0.597 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.598 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.598 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.598 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.598 * [taylor]: Taking taylor expansion of re in im 0.598 * [backup-simplify]: Simplify re into re 0.598 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.598 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.598 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.598 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.598 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.598 * [taylor]: Taking taylor expansion of im in im 0.598 * [backup-simplify]: Simplify 0 into 0 0.598 * [backup-simplify]: Simplify 1 into 1 0.598 * [backup-simplify]: Simplify (* 1 1) into 1 0.599 * [backup-simplify]: Simplify (/ 1 1) into 1 0.599 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.599 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.599 * [taylor]: Taking taylor expansion of re in im 0.599 * [backup-simplify]: Simplify re into re 0.599 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.599 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.599 * [backup-simplify]: Simplify (+ 1 0) into 1 0.600 * [backup-simplify]: Simplify (sqrt 1) into 1 0.600 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.600 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.601 * [backup-simplify]: Simplify (+ 0 0) into 0 0.601 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.601 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.601 * [taylor]: Taking taylor expansion of re in re 0.601 * [backup-simplify]: Simplify 0 into 0 0.601 * [backup-simplify]: Simplify 1 into 1 0.601 * [backup-simplify]: Simplify (/ 1 1) into 1 0.601 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.601 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.601 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.601 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.601 * [taylor]: Taking taylor expansion of im in re 0.601 * [backup-simplify]: Simplify im into im 0.602 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.602 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.602 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.602 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.602 * [taylor]: Taking taylor expansion of re in re 0.602 * [backup-simplify]: Simplify 0 into 0 0.602 * [backup-simplify]: Simplify 1 into 1 0.602 * [backup-simplify]: Simplify (* 1 1) into 1 0.602 * [backup-simplify]: Simplify (/ 1 1) into 1 0.602 * [backup-simplify]: Simplify (+ 0 1) into 1 0.603 * [backup-simplify]: Simplify (sqrt 1) into 1 0.603 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.604 * [backup-simplify]: Simplify (+ 0 0) into 0 0.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.604 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.604 * [taylor]: Taking taylor expansion of re in re 0.604 * [backup-simplify]: Simplify 0 into 0 0.604 * [backup-simplify]: Simplify 1 into 1 0.604 * [backup-simplify]: Simplify (/ 1 1) into 1 0.604 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.604 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.604 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.604 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.604 * [taylor]: Taking taylor expansion of im in re 0.604 * [backup-simplify]: Simplify im into im 0.604 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.605 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.605 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.605 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.605 * [taylor]: Taking taylor expansion of re in re 0.605 * [backup-simplify]: Simplify 0 into 0 0.605 * [backup-simplify]: Simplify 1 into 1 0.605 * [backup-simplify]: Simplify (* 1 1) into 1 0.605 * [backup-simplify]: Simplify (/ 1 1) into 1 0.605 * [backup-simplify]: Simplify (+ 0 1) into 1 0.606 * [backup-simplify]: Simplify (sqrt 1) into 1 0.606 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.606 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.607 * [backup-simplify]: Simplify (+ 0 0) into 0 0.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.607 * [backup-simplify]: Simplify (+ 1 1) into 2 0.607 * [taylor]: Taking taylor expansion of 2 in im 0.607 * [backup-simplify]: Simplify 2 into 2 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.608 * [backup-simplify]: Simplify (+ 0 0) into 0 0.608 * [taylor]: Taking taylor expansion of 0 in im 0.608 * [backup-simplify]: Simplify 0 into 0 0.608 * [backup-simplify]: Simplify 2 into 2 0.608 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.609 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.609 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.610 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.610 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.610 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.610 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.610 * [taylor]: Taking taylor expansion of 1/2 in im 0.611 * [backup-simplify]: Simplify 1/2 into 1/2 0.611 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.611 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.611 * [taylor]: Taking taylor expansion of im in im 0.611 * [backup-simplify]: Simplify 0 into 0 0.611 * [backup-simplify]: Simplify 1 into 1 0.611 * [backup-simplify]: Simplify (* 1 1) into 1 0.611 * [backup-simplify]: Simplify (/ 1 1) into 1 0.611 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.612 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.612 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.612 * [backup-simplify]: Simplify 0 into 0 0.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.613 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.613 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.614 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.614 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.615 * [backup-simplify]: Simplify (+ 0 0) into 0 0.615 * [taylor]: Taking taylor expansion of 0 in im 0.615 * [backup-simplify]: Simplify 0 into 0 0.615 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.616 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.616 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.617 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 0.617 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 0.617 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.617 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.617 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.617 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.617 * [taylor]: Taking taylor expansion of re in im 0.617 * [backup-simplify]: Simplify re into re 0.617 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.617 * [taylor]: Taking taylor expansion of im in im 0.617 * [backup-simplify]: Simplify 0 into 0 0.617 * [backup-simplify]: Simplify 1 into 1 0.617 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.617 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.617 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.617 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.617 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.618 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.618 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.618 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.618 * [taylor]: Taking taylor expansion of re in re 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.618 * [taylor]: Taking taylor expansion of im in re 0.618 * [backup-simplify]: Simplify im into im 0.618 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.618 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.618 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.618 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.618 * [backup-simplify]: Simplify (+ 0 0) into 0 0.618 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.618 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.618 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.618 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.618 * [taylor]: Taking taylor expansion of re in re 0.618 * [backup-simplify]: Simplify 0 into 0 0.618 * [backup-simplify]: Simplify 1 into 1 0.618 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.618 * [taylor]: Taking taylor expansion of im in re 0.618 * [backup-simplify]: Simplify im into im 0.618 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.619 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.619 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.619 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.619 * [backup-simplify]: Simplify (+ 0 0) into 0 0.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.619 * [taylor]: Taking taylor expansion of im in im 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [taylor]: Taking taylor expansion of 0 in im 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 0 into 0 0.619 * [backup-simplify]: Simplify 1 into 1 0.619 * [backup-simplify]: Simplify (* 1 1) into 1 0.620 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.620 * [backup-simplify]: Simplify (+ 1 0) into 1 0.620 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.620 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.620 * [taylor]: Taking taylor expansion of 1/2 in im 0.620 * [backup-simplify]: Simplify 1/2 into 1/2 0.621 * [taylor]: Taking taylor expansion of im in im 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 1 into 1 0.621 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.621 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.621 * [backup-simplify]: Simplify 0 into 0 0.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.622 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.622 * [backup-simplify]: Simplify (+ 0 0) into 0 0.622 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.622 * [taylor]: Taking taylor expansion of 0 in im 0.622 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify 0 into 0 0.623 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.623 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.623 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.623 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.623 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.623 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.624 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.624 * [taylor]: Taking taylor expansion of im in im 0.624 * [backup-simplify]: Simplify 0 into 0 0.624 * [backup-simplify]: Simplify 1 into 1 0.624 * [backup-simplify]: Simplify (* 1 1) into 1 0.624 * [backup-simplify]: Simplify (/ 1 1) into 1 0.624 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.624 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.624 * [taylor]: Taking taylor expansion of re in im 0.624 * [backup-simplify]: Simplify re into re 0.624 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.624 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.624 * [backup-simplify]: Simplify (+ 1 0) into 1 0.625 * [backup-simplify]: Simplify (sqrt 1) into 1 0.625 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.626 * [backup-simplify]: Simplify (+ 0 0) into 0 0.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.626 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.626 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.626 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.626 * [taylor]: Taking taylor expansion of im in re 0.626 * [backup-simplify]: Simplify im into im 0.626 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.626 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.626 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.626 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.626 * [taylor]: Taking taylor expansion of re in re 0.626 * [backup-simplify]: Simplify 0 into 0 0.626 * [backup-simplify]: Simplify 1 into 1 0.627 * [backup-simplify]: Simplify (* 1 1) into 1 0.627 * [backup-simplify]: Simplify (/ 1 1) into 1 0.627 * [backup-simplify]: Simplify (+ 0 1) into 1 0.627 * [backup-simplify]: Simplify (sqrt 1) into 1 0.628 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.628 * [backup-simplify]: Simplify (+ 0 0) into 0 0.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.629 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.629 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.629 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.629 * [taylor]: Taking taylor expansion of im in re 0.629 * [backup-simplify]: Simplify im into im 0.629 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.629 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.629 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.629 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.629 * [taylor]: Taking taylor expansion of re in re 0.629 * [backup-simplify]: Simplify 0 into 0 0.629 * [backup-simplify]: Simplify 1 into 1 0.629 * [backup-simplify]: Simplify (* 1 1) into 1 0.630 * [backup-simplify]: Simplify (/ 1 1) into 1 0.630 * [backup-simplify]: Simplify (+ 0 1) into 1 0.630 * [backup-simplify]: Simplify (sqrt 1) into 1 0.630 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.631 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.631 * [backup-simplify]: Simplify (+ 0 0) into 0 0.631 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.631 * [taylor]: Taking taylor expansion of 1 in im 0.631 * [backup-simplify]: Simplify 1 into 1 0.631 * [taylor]: Taking taylor expansion of 0 in im 0.632 * [backup-simplify]: Simplify 0 into 0 0.632 * [backup-simplify]: Simplify 1 into 1 0.632 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.633 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.633 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.633 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.633 * [taylor]: Taking taylor expansion of 1/2 in im 0.633 * [backup-simplify]: Simplify 1/2 into 1/2 0.633 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.633 * [taylor]: Taking taylor expansion of im in im 0.634 * [backup-simplify]: Simplify 0 into 0 0.634 * [backup-simplify]: Simplify 1 into 1 0.634 * [backup-simplify]: Simplify (* 1 1) into 1 0.634 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.635 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify 0 into 0 0.635 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.635 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.636 * [backup-simplify]: Simplify (+ 0 0) into 0 0.637 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.637 * [taylor]: Taking taylor expansion of 0 in im 0.637 * [backup-simplify]: Simplify 0 into 0 0.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.638 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.638 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.638 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.638 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.638 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.638 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.638 * [taylor]: Taking taylor expansion of im in im 0.638 * [backup-simplify]: Simplify 0 into 0 0.638 * [backup-simplify]: Simplify 1 into 1 0.639 * [backup-simplify]: Simplify (* 1 1) into 1 0.639 * [backup-simplify]: Simplify (/ 1 1) into 1 0.639 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.639 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.639 * [taylor]: Taking taylor expansion of re in im 0.639 * [backup-simplify]: Simplify re into re 0.639 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.639 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.640 * [backup-simplify]: Simplify (+ 1 0) into 1 0.640 * [backup-simplify]: Simplify (sqrt 1) into 1 0.640 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.641 * [backup-simplify]: Simplify (+ 0 0) into 0 0.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.641 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.641 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.641 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.641 * [taylor]: Taking taylor expansion of im in re 0.641 * [backup-simplify]: Simplify im into im 0.641 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.641 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.641 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.641 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.641 * [taylor]: Taking taylor expansion of re in re 0.641 * [backup-simplify]: Simplify 0 into 0 0.641 * [backup-simplify]: Simplify 1 into 1 0.642 * [backup-simplify]: Simplify (* 1 1) into 1 0.642 * [backup-simplify]: Simplify (/ 1 1) into 1 0.642 * [backup-simplify]: Simplify (+ 0 1) into 1 0.642 * [backup-simplify]: Simplify (sqrt 1) into 1 0.643 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.643 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.643 * [backup-simplify]: Simplify (+ 0 0) into 0 0.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.644 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.644 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.644 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.644 * [taylor]: Taking taylor expansion of im in re 0.644 * [backup-simplify]: Simplify im into im 0.644 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.644 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.644 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.644 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.644 * [taylor]: Taking taylor expansion of re in re 0.644 * [backup-simplify]: Simplify 0 into 0 0.644 * [backup-simplify]: Simplify 1 into 1 0.644 * [backup-simplify]: Simplify (* 1 1) into 1 0.645 * [backup-simplify]: Simplify (/ 1 1) into 1 0.645 * [backup-simplify]: Simplify (+ 0 1) into 1 0.645 * [backup-simplify]: Simplify (sqrt 1) into 1 0.645 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.646 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.646 * [backup-simplify]: Simplify (+ 0 0) into 0 0.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.649 * [taylor]: Taking taylor expansion of 1 in im 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [taylor]: Taking taylor expansion of 0 in im 0.649 * [backup-simplify]: Simplify 0 into 0 0.649 * [backup-simplify]: Simplify 1 into 1 0.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.650 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.650 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.651 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.651 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.651 * [taylor]: Taking taylor expansion of 1/2 in im 0.651 * [backup-simplify]: Simplify 1/2 into 1/2 0.651 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.651 * [taylor]: Taking taylor expansion of im in im 0.651 * [backup-simplify]: Simplify 0 into 0 0.651 * [backup-simplify]: Simplify 1 into 1 0.651 * [backup-simplify]: Simplify (* 1 1) into 1 0.651 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.652 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.652 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify 0 into 0 0.652 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.652 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.653 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.653 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.654 * [backup-simplify]: Simplify (+ 0 0) into 0 0.654 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.654 * [taylor]: Taking taylor expansion of 0 in im 0.654 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.655 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify 0 into 0 0.655 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.655 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 0.655 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.655 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.656 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.656 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.656 * [taylor]: Taking taylor expansion of re in im 0.656 * [backup-simplify]: Simplify re into re 0.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.656 * [taylor]: Taking taylor expansion of im in im 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.656 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.656 * [taylor]: Taking taylor expansion of re in re 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.656 * [taylor]: Taking taylor expansion of im in re 0.656 * [backup-simplify]: Simplify im into im 0.656 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.656 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.656 * [taylor]: Taking taylor expansion of re in re 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.656 * [taylor]: Taking taylor expansion of im in re 0.656 * [backup-simplify]: Simplify im into im 0.656 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.656 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.656 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.656 * [taylor]: Taking taylor expansion of im in im 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 1 into 1 0.656 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.656 * [backup-simplify]: Simplify (+ 0 0) into 0 0.656 * [taylor]: Taking taylor expansion of 0 in im 0.656 * [backup-simplify]: Simplify 0 into 0 0.656 * [backup-simplify]: Simplify 0 into 0 0.657 * [backup-simplify]: Simplify (* 1 1) into 1 0.657 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.657 * [backup-simplify]: Simplify (+ 1 0) into 1 0.657 * [taylor]: Taking taylor expansion of 1 in im 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify 1 into 1 0.657 * [backup-simplify]: Simplify 0 into 0 0.658 * [backup-simplify]: Simplify (* 1 1) into 1 0.658 * [backup-simplify]: Simplify 1 into 1 0.658 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.658 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.659 * [backup-simplify]: Simplify (+ 0 0) into 0 0.659 * [taylor]: Taking taylor expansion of 0 in im 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify 0 into 0 0.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.659 * [backup-simplify]: Simplify 0 into 0 0.660 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.660 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.660 * [backup-simplify]: Simplify (+ 0 0) into 0 0.660 * [taylor]: Taking taylor expansion of 0 in im 0.660 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.661 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.661 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.661 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.661 * [taylor]: Taking taylor expansion of im in im 0.661 * [backup-simplify]: Simplify 0 into 0 0.661 * [backup-simplify]: Simplify 1 into 1 0.661 * [backup-simplify]: Simplify (* 1 1) into 1 0.662 * [backup-simplify]: Simplify (/ 1 1) into 1 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.662 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.662 * [taylor]: Taking taylor expansion of re in im 0.662 * [backup-simplify]: Simplify re into re 0.662 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.662 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.662 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.662 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.662 * [taylor]: Taking taylor expansion of im in re 0.662 * [backup-simplify]: Simplify im into im 0.662 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.662 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.662 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.662 * [taylor]: Taking taylor expansion of re in re 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (* 1 1) into 1 0.663 * [backup-simplify]: Simplify (/ 1 1) into 1 0.663 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.663 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.663 * [taylor]: Taking taylor expansion of im in re 0.663 * [backup-simplify]: Simplify im into im 0.663 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.663 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.663 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.663 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.663 * [taylor]: Taking taylor expansion of re in re 0.663 * [backup-simplify]: Simplify 0 into 0 0.663 * [backup-simplify]: Simplify 1 into 1 0.663 * [backup-simplify]: Simplify (* 1 1) into 1 0.663 * [backup-simplify]: Simplify (/ 1 1) into 1 0.664 * [backup-simplify]: Simplify (+ 0 1) into 1 0.664 * [taylor]: Taking taylor expansion of 1 in im 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.664 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.665 * [taylor]: Taking taylor expansion of 0 in im 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.666 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.666 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.666 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.666 * [taylor]: Taking taylor expansion of im in im 0.666 * [backup-simplify]: Simplify 0 into 0 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (* 1 1) into 1 0.666 * [backup-simplify]: Simplify (/ 1 1) into 1 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify 1 into 1 0.666 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.667 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.668 * [backup-simplify]: Simplify (+ 0 0) into 0 0.668 * [taylor]: Taking taylor expansion of 0 in im 0.668 * [backup-simplify]: Simplify 0 into 0 0.668 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.669 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.671 * [backup-simplify]: Simplify (+ 0 0) into 0 0.671 * [taylor]: Taking taylor expansion of 0 in im 0.671 * [backup-simplify]: Simplify 0 into 0 0.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.672 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.672 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.672 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.672 * [taylor]: Taking taylor expansion of im in im 0.672 * [backup-simplify]: Simplify 0 into 0 0.672 * [backup-simplify]: Simplify 1 into 1 0.673 * [backup-simplify]: Simplify (* 1 1) into 1 0.673 * [backup-simplify]: Simplify (/ 1 1) into 1 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.673 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.673 * [taylor]: Taking taylor expansion of re in im 0.673 * [backup-simplify]: Simplify re into re 0.673 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.673 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.673 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.673 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.673 * [taylor]: Taking taylor expansion of im in re 0.673 * [backup-simplify]: Simplify im into im 0.673 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.673 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.673 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.673 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.673 * [taylor]: Taking taylor expansion of re in re 0.673 * [backup-simplify]: Simplify 0 into 0 0.673 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (* 1 1) into 1 0.674 * [backup-simplify]: Simplify (/ 1 1) into 1 0.674 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.674 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.674 * [taylor]: Taking taylor expansion of im in re 0.674 * [backup-simplify]: Simplify im into im 0.674 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.674 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.674 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.674 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.674 * [taylor]: Taking taylor expansion of re in re 0.674 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify 1 into 1 0.674 * [backup-simplify]: Simplify (* 1 1) into 1 0.675 * [backup-simplify]: Simplify (/ 1 1) into 1 0.675 * [backup-simplify]: Simplify (+ 0 1) into 1 0.675 * [taylor]: Taking taylor expansion of 1 in im 0.675 * [backup-simplify]: Simplify 1 into 1 0.675 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.676 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (+ 0 0) into 0 0.676 * [taylor]: Taking taylor expansion of 0 in im 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.677 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.677 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.677 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.677 * [taylor]: Taking taylor expansion of im in im 0.677 * [backup-simplify]: Simplify 0 into 0 0.677 * [backup-simplify]: Simplify 1 into 1 0.677 * [backup-simplify]: Simplify (* 1 1) into 1 0.678 * [backup-simplify]: Simplify (/ 1 1) into 1 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify 1 into 1 0.678 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.678 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.679 * [taylor]: Taking taylor expansion of 0 in im 0.679 * [backup-simplify]: Simplify 0 into 0 0.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.680 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.682 * [backup-simplify]: Simplify (+ 0 0) into 0 0.682 * [taylor]: Taking taylor expansion of 0 in im 0.682 * [backup-simplify]: Simplify 0 into 0 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.683 * * * [progress]: simplifying candidates 0.684 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (- re) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.685 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (exp (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp h0)) (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (exp (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (* (cbrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (cbrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (cbrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (* (* (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (sqrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (sqrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (- (pow (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) 3) (pow h0 3)) (+ (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (+ (* h0 h0) (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (- h0) (- (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* h0 h0)) (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (+ (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (- (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (+ (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (- (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (+ (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (- (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (- h0) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (exp (sqrt (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (exp (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))))) (exp (log (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log 1)) (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))) (exp (log (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))))) (exp (log (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))) (exp (log (sqrt (- (* h0 h0) (* h1 h1))))) (log (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) h1 h0 (* -1 h0) (- h1 h0) 0 (* -2 h0) h1 h0 (* -1 h0) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.689 * * [simplify]: iteration 0 : 223 enodes (cost 519 ) 0.693 * * [simplify]: iteration 1 : 737 enodes (cost 467 ) 0.704 * * [simplify]: iteration 2 : 2078 enodes (cost 451 ) 0.753 * * [simplify]: iteration 3 : 5001 enodes (cost 442 ) 0.755 * * * [progress]: adding candidates to table 0.941 * * [progress]: iteration 3 / 4 0.941 * * * [progress]: picking best candidate 0.957 * * * * [pick]: Picked # 0.957 * * * [progress]: localizing error 0.970 * * * [progress]: generating rewritten candidates 0.970 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 0.978 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.022 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.048 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 1.078 * * * [progress]: generating series expansions 1.079 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 1.079 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.079 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.079 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.079 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.079 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.079 * [taylor]: Taking taylor expansion of re in im 1.079 * [backup-simplify]: Simplify re into re 1.079 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.079 * [taylor]: Taking taylor expansion of im in im 1.079 * [backup-simplify]: Simplify 0 into 0 1.079 * [backup-simplify]: Simplify 1 into 1 1.079 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.079 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.079 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.079 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.080 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.080 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.080 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.080 * [taylor]: Taking taylor expansion of re in re 1.080 * [backup-simplify]: Simplify 0 into 0 1.080 * [backup-simplify]: Simplify 1 into 1 1.080 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.080 * [taylor]: Taking taylor expansion of im in re 1.080 * [backup-simplify]: Simplify im into im 1.080 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.080 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.080 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.080 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.080 * [backup-simplify]: Simplify (+ 0 0) into 0 1.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.081 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.081 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.081 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.081 * [taylor]: Taking taylor expansion of re in re 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.081 * [taylor]: Taking taylor expansion of im in re 1.081 * [backup-simplify]: Simplify im into im 1.081 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.081 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.081 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.081 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.081 * [backup-simplify]: Simplify (+ 0 0) into 0 1.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.081 * [taylor]: Taking taylor expansion of im in im 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [taylor]: Taking taylor expansion of 0 in im 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 0 into 0 1.081 * [backup-simplify]: Simplify 1 into 1 1.082 * [backup-simplify]: Simplify (* 1 1) into 1 1.082 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.082 * [backup-simplify]: Simplify (+ 1 0) into 1 1.083 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.083 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.083 * [taylor]: Taking taylor expansion of 1/2 in im 1.083 * [backup-simplify]: Simplify 1/2 into 1/2 1.083 * [taylor]: Taking taylor expansion of im in im 1.083 * [backup-simplify]: Simplify 0 into 0 1.083 * [backup-simplify]: Simplify 1 into 1 1.083 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.084 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify 0 into 0 1.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.084 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.085 * [backup-simplify]: Simplify (+ 0 0) into 0 1.085 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.085 * [taylor]: Taking taylor expansion of 0 in im 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify 0 into 0 1.085 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.086 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.086 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.086 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.086 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.086 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.086 * [taylor]: Taking taylor expansion of im in im 1.086 * [backup-simplify]: Simplify 0 into 0 1.086 * [backup-simplify]: Simplify 1 into 1 1.086 * [backup-simplify]: Simplify (* 1 1) into 1 1.086 * [backup-simplify]: Simplify (/ 1 1) into 1 1.086 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.086 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.086 * [taylor]: Taking taylor expansion of re in im 1.086 * [backup-simplify]: Simplify re into re 1.086 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.087 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.087 * [backup-simplify]: Simplify (+ 1 0) into 1 1.087 * [backup-simplify]: Simplify (sqrt 1) into 1 1.087 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.088 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.088 * [backup-simplify]: Simplify (+ 0 0) into 0 1.088 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.088 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.088 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.088 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.089 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.089 * [taylor]: Taking taylor expansion of im in re 1.089 * [backup-simplify]: Simplify im into im 1.089 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.089 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.089 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.089 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.089 * [taylor]: Taking taylor expansion of re in re 1.089 * [backup-simplify]: Simplify 0 into 0 1.089 * [backup-simplify]: Simplify 1 into 1 1.089 * [backup-simplify]: Simplify (* 1 1) into 1 1.089 * [backup-simplify]: Simplify (/ 1 1) into 1 1.089 * [backup-simplify]: Simplify (+ 0 1) into 1 1.090 * [backup-simplify]: Simplify (sqrt 1) into 1 1.090 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.090 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.091 * [backup-simplify]: Simplify (+ 0 0) into 0 1.091 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.091 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.091 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.091 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.091 * [taylor]: Taking taylor expansion of im in re 1.091 * [backup-simplify]: Simplify im into im 1.091 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.091 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.091 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.091 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.091 * [taylor]: Taking taylor expansion of re in re 1.091 * [backup-simplify]: Simplify 0 into 0 1.091 * [backup-simplify]: Simplify 1 into 1 1.092 * [backup-simplify]: Simplify (* 1 1) into 1 1.092 * [backup-simplify]: Simplify (/ 1 1) into 1 1.092 * [backup-simplify]: Simplify (+ 0 1) into 1 1.092 * [backup-simplify]: Simplify (sqrt 1) into 1 1.093 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.093 * [backup-simplify]: Simplify (+ 0 0) into 0 1.094 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.094 * [taylor]: Taking taylor expansion of 1 in im 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [taylor]: Taking taylor expansion of 0 in im 1.094 * [backup-simplify]: Simplify 0 into 0 1.094 * [backup-simplify]: Simplify 1 into 1 1.094 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.095 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.096 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.096 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.096 * [taylor]: Taking taylor expansion of 1/2 in im 1.096 * [backup-simplify]: Simplify 1/2 into 1/2 1.096 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.096 * [taylor]: Taking taylor expansion of im in im 1.096 * [backup-simplify]: Simplify 0 into 0 1.096 * [backup-simplify]: Simplify 1 into 1 1.096 * [backup-simplify]: Simplify (* 1 1) into 1 1.096 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.097 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.097 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify 0 into 0 1.097 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.097 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.098 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.098 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.099 * [backup-simplify]: Simplify (+ 0 0) into 0 1.099 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.099 * [taylor]: Taking taylor expansion of 0 in im 1.099 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.100 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify 0 into 0 1.100 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.101 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.101 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.101 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.101 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.101 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.101 * [taylor]: Taking taylor expansion of im in im 1.101 * [backup-simplify]: Simplify 0 into 0 1.101 * [backup-simplify]: Simplify 1 into 1 1.101 * [backup-simplify]: Simplify (* 1 1) into 1 1.101 * [backup-simplify]: Simplify (/ 1 1) into 1 1.101 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.101 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.101 * [taylor]: Taking taylor expansion of re in im 1.101 * [backup-simplify]: Simplify re into re 1.101 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.101 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.102 * [backup-simplify]: Simplify (+ 1 0) into 1 1.102 * [backup-simplify]: Simplify (sqrt 1) into 1 1.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.103 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.103 * [backup-simplify]: Simplify (+ 0 0) into 0 1.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.103 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.103 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.103 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.103 * [taylor]: Taking taylor expansion of im in re 1.103 * [backup-simplify]: Simplify im into im 1.103 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.103 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.103 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.103 * [taylor]: Taking taylor expansion of re in re 1.103 * [backup-simplify]: Simplify 0 into 0 1.104 * [backup-simplify]: Simplify 1 into 1 1.104 * [backup-simplify]: Simplify (* 1 1) into 1 1.104 * [backup-simplify]: Simplify (/ 1 1) into 1 1.104 * [backup-simplify]: Simplify (+ 0 1) into 1 1.104 * [backup-simplify]: Simplify (sqrt 1) into 1 1.105 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.106 * [backup-simplify]: Simplify (+ 0 0) into 0 1.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.106 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.106 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.106 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.106 * [taylor]: Taking taylor expansion of im in re 1.106 * [backup-simplify]: Simplify im into im 1.106 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.106 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.106 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.106 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.106 * [taylor]: Taking taylor expansion of re in re 1.106 * [backup-simplify]: Simplify 0 into 0 1.106 * [backup-simplify]: Simplify 1 into 1 1.107 * [backup-simplify]: Simplify (* 1 1) into 1 1.107 * [backup-simplify]: Simplify (/ 1 1) into 1 1.107 * [backup-simplify]: Simplify (+ 0 1) into 1 1.107 * [backup-simplify]: Simplify (sqrt 1) into 1 1.108 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.108 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.108 * [backup-simplify]: Simplify (+ 0 0) into 0 1.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.109 * [taylor]: Taking taylor expansion of 1 in im 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [taylor]: Taking taylor expansion of 0 in im 1.109 * [backup-simplify]: Simplify 0 into 0 1.109 * [backup-simplify]: Simplify 1 into 1 1.109 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.110 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.110 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.111 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.111 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.111 * [taylor]: Taking taylor expansion of 1/2 in im 1.111 * [backup-simplify]: Simplify 1/2 into 1/2 1.111 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.111 * [taylor]: Taking taylor expansion of im in im 1.111 * [backup-simplify]: Simplify 0 into 0 1.111 * [backup-simplify]: Simplify 1 into 1 1.111 * [backup-simplify]: Simplify (* 1 1) into 1 1.111 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.115 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify 0 into 0 1.115 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.115 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.116 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.117 * [backup-simplify]: Simplify (+ 0 0) into 0 1.117 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.117 * [taylor]: Taking taylor expansion of 0 in im 1.117 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify 0 into 0 1.118 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.118 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.119 * [backup-simplify]: Simplify (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) into (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) 1.119 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 1.119 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.119 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.119 * [taylor]: Taking taylor expansion of im in re 1.119 * [backup-simplify]: Simplify im into im 1.119 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.119 * [taylor]: Taking taylor expansion of re in re 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.119 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.119 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.119 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.119 * [taylor]: Taking taylor expansion of re in re 1.119 * [backup-simplify]: Simplify 0 into 0 1.119 * [backup-simplify]: Simplify 1 into 1 1.119 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.119 * [taylor]: Taking taylor expansion of im in re 1.119 * [backup-simplify]: Simplify im into im 1.119 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.119 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.119 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.119 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.120 * [backup-simplify]: Simplify (+ 0 0) into 0 1.120 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.120 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.120 * [backup-simplify]: Simplify (+ 0 im) into im 1.120 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 1.120 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.120 * [taylor]: Taking taylor expansion of im in im 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.120 * [taylor]: Taking taylor expansion of re in im 1.120 * [backup-simplify]: Simplify re into re 1.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.120 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.120 * [taylor]: Taking taylor expansion of re in im 1.120 * [backup-simplify]: Simplify re into re 1.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.120 * [taylor]: Taking taylor expansion of im in im 1.120 * [backup-simplify]: Simplify 0 into 0 1.120 * [backup-simplify]: Simplify 1 into 1 1.120 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.120 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.120 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.120 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.121 * [backup-simplify]: Simplify (+ 0 0) into 0 1.121 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.121 * [backup-simplify]: Simplify (* 1 1) into 1 1.121 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.121 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 1.121 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.121 * [taylor]: Taking taylor expansion of im in im 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 1 into 1 1.121 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.121 * [taylor]: Taking taylor expansion of re in im 1.121 * [backup-simplify]: Simplify re into re 1.121 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.121 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.121 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.121 * [taylor]: Taking taylor expansion of re in im 1.121 * [backup-simplify]: Simplify re into re 1.121 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.121 * [taylor]: Taking taylor expansion of im in im 1.121 * [backup-simplify]: Simplify 0 into 0 1.121 * [backup-simplify]: Simplify 1 into 1 1.121 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.121 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.121 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.122 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.122 * [backup-simplify]: Simplify (+ 0 0) into 0 1.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.122 * [backup-simplify]: Simplify (* 1 1) into 1 1.122 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.122 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 1.122 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 1.122 * [taylor]: Taking taylor expansion of 1/2 in re 1.122 * [backup-simplify]: Simplify 1/2 into 1/2 1.122 * [taylor]: Taking taylor expansion of re in re 1.122 * [backup-simplify]: Simplify 0 into 0 1.122 * [backup-simplify]: Simplify 1 into 1 1.123 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.123 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.123 * [backup-simplify]: Simplify 0 into 0 1.123 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.124 * [backup-simplify]: Simplify (+ 0 0) into 0 1.124 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 1.124 * [taylor]: Taking taylor expansion of 0 in re 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.124 * [backup-simplify]: Simplify 0 into 0 1.125 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.125 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.125 * [backup-simplify]: Simplify (* 1 1) into 1 1.126 * [backup-simplify]: Simplify (+ 0 1) into 1 1.126 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.126 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 1.126 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 1.126 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 1.126 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 1.126 * [taylor]: Taking taylor expansion of 1/8 in re 1.126 * [backup-simplify]: Simplify 1/8 into 1/8 1.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 1.126 * [taylor]: Taking taylor expansion of (pow re 3) in re 1.127 * [taylor]: Taking taylor expansion of re in re 1.127 * [backup-simplify]: Simplify 0 into 0 1.127 * [backup-simplify]: Simplify 1 into 1 1.127 * [backup-simplify]: Simplify (* 1 1) into 1 1.127 * [backup-simplify]: Simplify (* 1 1) into 1 1.128 * [backup-simplify]: Simplify (/ 1 1) into 1 1.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.130 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.131 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.132 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.132 * [backup-simplify]: Simplify (- 0) into 0 1.132 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify 0 into 0 1.133 * [backup-simplify]: Simplify (/ (pow (/ 1 im) 2) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) 1.133 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 1.134 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 1.134 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.134 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.134 * [taylor]: Taking taylor expansion of re in re 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [backup-simplify]: Simplify (/ 1 1) into 1 1.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.134 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.134 * [taylor]: Taking taylor expansion of im in re 1.134 * [backup-simplify]: Simplify im into im 1.134 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.134 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.134 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.134 * [taylor]: Taking taylor expansion of re in re 1.134 * [backup-simplify]: Simplify 0 into 0 1.134 * [backup-simplify]: Simplify 1 into 1 1.134 * [backup-simplify]: Simplify (* 1 1) into 1 1.135 * [backup-simplify]: Simplify (/ 1 1) into 1 1.135 * [backup-simplify]: Simplify (+ 0 1) into 1 1.135 * [backup-simplify]: Simplify (sqrt 1) into 1 1.135 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.136 * [backup-simplify]: Simplify (+ 0 0) into 0 1.136 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.137 * [taylor]: Taking taylor expansion of im in re 1.137 * [backup-simplify]: Simplify im into im 1.137 * [backup-simplify]: Simplify (+ 1 1) into 2 1.137 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.137 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 1.137 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 1.137 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 1.137 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 1.137 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.137 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.137 * [taylor]: Taking taylor expansion of re in im 1.137 * [backup-simplify]: Simplify re into re 1.137 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.137 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.137 * [taylor]: Taking taylor expansion of im in im 1.137 * [backup-simplify]: Simplify 0 into 0 1.137 * [backup-simplify]: Simplify 1 into 1 1.138 * [backup-simplify]: Simplify (* 1 1) into 1 1.138 * [backup-simplify]: Simplify (/ 1 1) into 1 1.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.138 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.138 * [taylor]: Taking taylor expansion of re in im 1.138 * [backup-simplify]: Simplify re into re 1.138 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.138 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.138 * [backup-simplify]: Simplify (+ 1 0) into 1 1.138 * [backup-simplify]: Simplify (sqrt 1) into 1 1.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.139 * [backup-simplify]: Simplify (+ 0 0) into 0 1.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.140 * [taylor]: Taking taylor expansion of im in im 1.140 * [backup-simplify]: Simplify 0 into 0 1.140 * [backup-simplify]: Simplify 1 into 1 1.140 * [backup-simplify]: Simplify (+ 0 1) into 1 1.140 * [backup-simplify]: Simplify (* 1 1) into 1 1.141 * [backup-simplify]: Simplify (* 1 1) into 1 1.141 * [backup-simplify]: Simplify (/ 1 1) into 1 1.141 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 1.141 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 1.141 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.141 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.141 * [taylor]: Taking taylor expansion of re in im 1.141 * [backup-simplify]: Simplify re into re 1.141 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.141 * [taylor]: Taking taylor expansion of im in im 1.141 * [backup-simplify]: Simplify 0 into 0 1.141 * [backup-simplify]: Simplify 1 into 1 1.141 * [backup-simplify]: Simplify (* 1 1) into 1 1.141 * [backup-simplify]: Simplify (/ 1 1) into 1 1.142 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.142 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.142 * [taylor]: Taking taylor expansion of re in im 1.142 * [backup-simplify]: Simplify re into re 1.142 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.142 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.142 * [backup-simplify]: Simplify (+ 1 0) into 1 1.142 * [backup-simplify]: Simplify (sqrt 1) into 1 1.143 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.143 * [backup-simplify]: Simplify (+ 0 0) into 0 1.144 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.144 * [taylor]: Taking taylor expansion of im in im 1.144 * [backup-simplify]: Simplify 0 into 0 1.144 * [backup-simplify]: Simplify 1 into 1 1.144 * [backup-simplify]: Simplify (+ 0 1) into 1 1.144 * [backup-simplify]: Simplify (* 1 1) into 1 1.144 * [backup-simplify]: Simplify (* 1 1) into 1 1.145 * [backup-simplify]: Simplify (/ 1 1) into 1 1.145 * [taylor]: Taking taylor expansion of 1 in re 1.145 * [backup-simplify]: Simplify 1 into 1 1.145 * [backup-simplify]: Simplify 0 into 0 1.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.145 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 1.146 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 1.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 1.146 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.146 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.146 * [taylor]: Taking taylor expansion of re in re 1.146 * [backup-simplify]: Simplify 0 into 0 1.146 * [backup-simplify]: Simplify 1 into 1 1.146 * [backup-simplify]: Simplify (/ 1 1) into 1 1.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.147 * [backup-simplify]: Simplify (- 0) into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.147 * [backup-simplify]: Simplify 0 into 0 1.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.149 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.149 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.150 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 1.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 1.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.150 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.150 * [taylor]: Taking taylor expansion of 1/2 in re 1.150 * [backup-simplify]: Simplify 1/2 into 1/2 1.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.150 * [taylor]: Taking taylor expansion of re in re 1.150 * [backup-simplify]: Simplify 0 into 0 1.150 * [backup-simplify]: Simplify 1 into 1 1.151 * [backup-simplify]: Simplify (* 1 1) into 1 1.151 * [backup-simplify]: Simplify (/ 1 1) into 1 1.151 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.153 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.154 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.154 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.155 * [backup-simplify]: Simplify (- 0) into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.155 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify (/ (pow (/ 1 (- im)) 2) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) 1.156 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 1.156 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 1.156 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 1.156 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.156 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.156 * [taylor]: Taking taylor expansion of im in re 1.156 * [backup-simplify]: Simplify im into im 1.156 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.156 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.156 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.156 * [taylor]: Taking taylor expansion of re in re 1.156 * [backup-simplify]: Simplify 0 into 0 1.156 * [backup-simplify]: Simplify 1 into 1 1.156 * [backup-simplify]: Simplify (* 1 1) into 1 1.157 * [backup-simplify]: Simplify (/ 1 1) into 1 1.157 * [backup-simplify]: Simplify (+ 0 1) into 1 1.157 * [backup-simplify]: Simplify (sqrt 1) into 1 1.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.158 * [backup-simplify]: Simplify (+ 0 0) into 0 1.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.158 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.158 * [taylor]: Taking taylor expansion of re in re 1.158 * [backup-simplify]: Simplify 0 into 0 1.158 * [backup-simplify]: Simplify 1 into 1 1.159 * [backup-simplify]: Simplify (/ 1 1) into 1 1.159 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.159 * [taylor]: Taking taylor expansion of im in re 1.159 * [backup-simplify]: Simplify im into im 1.159 * [backup-simplify]: Simplify (- 1) into -1 1.159 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.159 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.159 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0 1.159 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.160 * [backup-simplify]: Simplify (- 0) into 0 1.160 * [backup-simplify]: Simplify (+ 0 0) into 0 1.161 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0 1.161 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.162 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.163 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.163 * [backup-simplify]: Simplify (- 0) into 0 1.163 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.164 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2 1.164 * [backup-simplify]: Simplify (/ 1 1/2) into 2 1.164 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 1.164 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 1.164 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.164 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.164 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.164 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.164 * [taylor]: Taking taylor expansion of im in im 1.164 * [backup-simplify]: Simplify 0 into 0 1.164 * [backup-simplify]: Simplify 1 into 1 1.165 * [backup-simplify]: Simplify (* 1 1) into 1 1.165 * [backup-simplify]: Simplify (/ 1 1) into 1 1.165 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.165 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.165 * [taylor]: Taking taylor expansion of re in im 1.165 * [backup-simplify]: Simplify re into re 1.165 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.165 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.165 * [backup-simplify]: Simplify (+ 1 0) into 1 1.166 * [backup-simplify]: Simplify (sqrt 1) into 1 1.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.167 * [backup-simplify]: Simplify (+ 0 0) into 0 1.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.167 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.167 * [taylor]: Taking taylor expansion of re in im 1.167 * [backup-simplify]: Simplify re into re 1.167 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.167 * [taylor]: Taking taylor expansion of im in im 1.167 * [backup-simplify]: Simplify 0 into 0 1.167 * [backup-simplify]: Simplify 1 into 1 1.167 * [backup-simplify]: Simplify (+ 1 0) into 1 1.168 * [backup-simplify]: Simplify (* 1 1) into 1 1.168 * [backup-simplify]: Simplify (* 1 1) into 1 1.168 * [backup-simplify]: Simplify (/ 1 1) into 1 1.168 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 1.168 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 1.168 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.168 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.168 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.168 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.168 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.168 * [taylor]: Taking taylor expansion of im in im 1.168 * [backup-simplify]: Simplify 0 into 0 1.168 * [backup-simplify]: Simplify 1 into 1 1.168 * [backup-simplify]: Simplify (* 1 1) into 1 1.169 * [backup-simplify]: Simplify (/ 1 1) into 1 1.169 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.169 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.169 * [taylor]: Taking taylor expansion of re in im 1.169 * [backup-simplify]: Simplify re into re 1.169 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.169 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.169 * [backup-simplify]: Simplify (+ 1 0) into 1 1.169 * [backup-simplify]: Simplify (sqrt 1) into 1 1.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.170 * [backup-simplify]: Simplify (+ 0 0) into 0 1.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.171 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.171 * [taylor]: Taking taylor expansion of re in im 1.171 * [backup-simplify]: Simplify re into re 1.171 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.171 * [taylor]: Taking taylor expansion of im in im 1.171 * [backup-simplify]: Simplify 0 into 0 1.171 * [backup-simplify]: Simplify 1 into 1 1.171 * [backup-simplify]: Simplify (+ 1 0) into 1 1.171 * [backup-simplify]: Simplify (* 1 1) into 1 1.172 * [backup-simplify]: Simplify (* 1 1) into 1 1.172 * [backup-simplify]: Simplify (/ 1 1) into 1 1.172 * [taylor]: Taking taylor expansion of 1 in re 1.172 * [backup-simplify]: Simplify 1 into 1 1.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.172 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 1.172 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 1.173 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re)) 1.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 1.173 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.173 * [taylor]: Taking taylor expansion of re in re 1.173 * [backup-simplify]: Simplify 0 into 0 1.173 * [backup-simplify]: Simplify 1 into 1 1.173 * [backup-simplify]: Simplify (/ 1 1) into 1 1.173 * [backup-simplify]: Simplify 1 into 1 1.173 * [backup-simplify]: Simplify 1 into 1 1.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.174 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.175 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.176 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.176 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.176 * [backup-simplify]: Simplify (- 0) into 0 1.176 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 1.176 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 1.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.177 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.177 * [taylor]: Taking taylor expansion of 1/2 in re 1.177 * [backup-simplify]: Simplify 1/2 into 1/2 1.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.177 * [taylor]: Taking taylor expansion of re in re 1.177 * [backup-simplify]: Simplify 0 into 0 1.177 * [backup-simplify]: Simplify 1 into 1 1.177 * [backup-simplify]: Simplify (* 1 1) into 1 1.177 * [backup-simplify]: Simplify (/ 1 1) into 1 1.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.178 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify 0 into 0 1.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.181 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.181 * [backup-simplify]: Simplify (+ 0 0) into 0 1.181 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 1.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.182 * [backup-simplify]: Simplify (- 0) into 0 1.182 * [backup-simplify]: Simplify (+ 0 0) into 0 1.183 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0 1.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 1.183 * [taylor]: Taking taylor expansion of 0 in re 1.183 * [backup-simplify]: Simplify 0 into 0 1.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.185 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify 0 into 0 1.185 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 1.185 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.186 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 1.186 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 1.186 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 1.186 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.186 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.186 * [taylor]: Taking taylor expansion of 2.0 in re 1.186 * [backup-simplify]: Simplify 2.0 into 2.0 1.186 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.187 * [taylor]: Taking taylor expansion of im in re 1.187 * [backup-simplify]: Simplify im into im 1.187 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.187 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.187 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.187 * [taylor]: Taking taylor expansion of re in re 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.187 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.187 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.187 * [taylor]: Taking taylor expansion of re in re 1.187 * [backup-simplify]: Simplify 0 into 0 1.187 * [backup-simplify]: Simplify 1 into 1 1.187 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.187 * [taylor]: Taking taylor expansion of im in re 1.187 * [backup-simplify]: Simplify im into im 1.187 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.187 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.187 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.187 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.187 * [backup-simplify]: Simplify (+ 0 0) into 0 1.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.187 * [backup-simplify]: Simplify (+ 0 im) into im 1.188 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.188 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 1.188 * [backup-simplify]: Simplify (+ 1 0) into 1 1.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 1.188 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 1.188 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.188 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.188 * [taylor]: Taking taylor expansion of 2.0 in im 1.188 * [backup-simplify]: Simplify 2.0 into 2.0 1.188 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.189 * [taylor]: Taking taylor expansion of im in im 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.189 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.189 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.189 * [taylor]: Taking taylor expansion of re in im 1.189 * [backup-simplify]: Simplify re into re 1.189 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.189 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.189 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.189 * [taylor]: Taking taylor expansion of re in im 1.189 * [backup-simplify]: Simplify re into re 1.189 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.189 * [taylor]: Taking taylor expansion of im in im 1.189 * [backup-simplify]: Simplify 0 into 0 1.189 * [backup-simplify]: Simplify 1 into 1 1.189 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.189 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.189 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.189 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.190 * [backup-simplify]: Simplify (+ 0 0) into 0 1.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.190 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.190 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 1.190 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 1.190 * [backup-simplify]: Simplify (+ 0 0) into 0 1.190 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 1.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 1.190 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.190 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.190 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.190 * [taylor]: Taking taylor expansion of 2.0 in im 1.190 * [backup-simplify]: Simplify 2.0 into 2.0 1.191 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.191 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.191 * [taylor]: Taking taylor expansion of im in im 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify 1 into 1 1.191 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.191 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.191 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.191 * [taylor]: Taking taylor expansion of re in im 1.191 * [backup-simplify]: Simplify re into re 1.191 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.191 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.191 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.191 * [taylor]: Taking taylor expansion of re in im 1.191 * [backup-simplify]: Simplify re into re 1.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.191 * [taylor]: Taking taylor expansion of im in im 1.191 * [backup-simplify]: Simplify 0 into 0 1.191 * [backup-simplify]: Simplify 1 into 1 1.191 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.191 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.192 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.192 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.192 * [backup-simplify]: Simplify (+ 0 0) into 0 1.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.192 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.192 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 1.192 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 1.192 * [backup-simplify]: Simplify (+ 0 0) into 0 1.192 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 1.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 1.193 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.193 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 1.193 * [taylor]: Taking taylor expansion of 0 in re 1.193 * [backup-simplify]: Simplify 0 into 0 1.193 * [backup-simplify]: Simplify 0 into 0 1.194 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 1.195 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 1.195 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 1.195 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 1.195 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.195 * [taylor]: Taking taylor expansion of 2.0 in re 1.195 * [backup-simplify]: Simplify 2.0 into 2.0 1.195 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.196 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.196 * [taylor]: Taking taylor expansion of 1/2 in re 1.196 * [backup-simplify]: Simplify 1/2 into 1/2 1.196 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.196 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 1.197 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.197 * [taylor]: Taking taylor expansion of re in re 1.197 * [backup-simplify]: Simplify 0 into 0 1.197 * [backup-simplify]: Simplify 1 into 1 1.197 * [backup-simplify]: Simplify (/ 1 1) into 1 1.197 * [backup-simplify]: Simplify (sqrt 0) into 0 1.198 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.199 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 1.199 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 1.201 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.203 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.203 * [backup-simplify]: Simplify 0 into 0 1.204 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.204 * [backup-simplify]: Simplify (* 1 1) into 1 1.204 * [backup-simplify]: Simplify (+ 0 1) into 1 1.204 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.205 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 1.205 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 1.206 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 1.206 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.207 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 1.213 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 1.213 * [taylor]: Taking taylor expansion of 0 in re 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify 0 into 0 1.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.215 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.216 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1.216 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.217 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 1.219 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.221 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.221 * [backup-simplify]: Simplify 0 into 0 1.222 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.222 * [backup-simplify]: Simplify (+ 0 0) into 0 1.222 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 1.222 * [backup-simplify]: Simplify (+ 0 0) into 0 1.223 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 1.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 1.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.225 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.227 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 1.227 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 1.227 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 1.227 * [taylor]: Taking taylor expansion of 1/16 in re 1.227 * [backup-simplify]: Simplify 1/16 into 1/16 1.227 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 1.227 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 1.227 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.227 * [taylor]: Taking taylor expansion of 2.0 in re 1.227 * [backup-simplify]: Simplify 2.0 into 2.0 1.227 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.228 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.228 * [taylor]: Taking taylor expansion of 1/2 in re 1.228 * [backup-simplify]: Simplify 1/2 into 1/2 1.228 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.229 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 1.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 1.229 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 1.229 * [taylor]: Taking taylor expansion of (pow re 5) in re 1.229 * [taylor]: Taking taylor expansion of re in re 1.229 * [backup-simplify]: Simplify 0 into 0 1.229 * [backup-simplify]: Simplify 1 into 1 1.229 * [backup-simplify]: Simplify (* 1 1) into 1 1.230 * [backup-simplify]: Simplify (* 1 1) into 1 1.230 * [backup-simplify]: Simplify (* 1 1) into 1 1.230 * [backup-simplify]: Simplify (/ 1 1) into 1 1.230 * [backup-simplify]: Simplify (sqrt 0) into 0 1.231 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.231 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.232 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.233 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.236 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.238 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.239 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 1.239 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.240 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1.241 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 1.241 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.242 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 1.243 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 1.245 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.248 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.250 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.250 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 1.254 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.257 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.259 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.265 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 1.266 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow (/ 1 im) 2) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 1.266 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 1.266 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 1.266 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.266 * [taylor]: Taking taylor expansion of 2.0 in re 1.266 * [backup-simplify]: Simplify 2.0 into 2.0 1.266 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.266 * [taylor]: Taking taylor expansion of im in re 1.266 * [backup-simplify]: Simplify im into im 1.267 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 1.267 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.267 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.267 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.267 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.267 * [taylor]: Taking taylor expansion of re in re 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify 1 into 1 1.267 * [backup-simplify]: Simplify (/ 1 1) into 1 1.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.267 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.267 * [taylor]: Taking taylor expansion of im in re 1.267 * [backup-simplify]: Simplify im into im 1.267 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.267 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.267 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.267 * [taylor]: Taking taylor expansion of re in re 1.267 * [backup-simplify]: Simplify 0 into 0 1.267 * [backup-simplify]: Simplify 1 into 1 1.268 * [backup-simplify]: Simplify (* 1 1) into 1 1.268 * [backup-simplify]: Simplify (/ 1 1) into 1 1.268 * [backup-simplify]: Simplify (+ 0 1) into 1 1.268 * [backup-simplify]: Simplify (sqrt 1) into 1 1.269 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.269 * [backup-simplify]: Simplify (+ 0 0) into 0 1.270 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.270 * [backup-simplify]: Simplify (+ 1 1) into 2 1.270 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.270 * [backup-simplify]: Simplify (sqrt 0) into 0 1.271 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 1.271 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.271 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.271 * [taylor]: Taking taylor expansion of 2.0 in im 1.271 * [backup-simplify]: Simplify 2.0 into 2.0 1.272 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.272 * [taylor]: Taking taylor expansion of im in im 1.272 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify 1 into 1 1.273 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.273 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.273 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.273 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.273 * [taylor]: Taking taylor expansion of re in im 1.273 * [backup-simplify]: Simplify re into re 1.273 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.273 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.273 * [taylor]: Taking taylor expansion of im in im 1.273 * [backup-simplify]: Simplify 0 into 0 1.273 * [backup-simplify]: Simplify 1 into 1 1.273 * [backup-simplify]: Simplify (* 1 1) into 1 1.273 * [backup-simplify]: Simplify (/ 1 1) into 1 1.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.273 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.273 * [taylor]: Taking taylor expansion of re in im 1.273 * [backup-simplify]: Simplify re into re 1.273 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.273 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.274 * [backup-simplify]: Simplify (+ 1 0) into 1 1.274 * [backup-simplify]: Simplify (sqrt 1) into 1 1.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.275 * [backup-simplify]: Simplify (+ 0 0) into 0 1.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.276 * [backup-simplify]: Simplify (+ 0 1) into 1 1.276 * [backup-simplify]: Simplify (/ 1 1) into 1 1.276 * [backup-simplify]: Simplify (sqrt 0) into 0 1.277 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.277 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.277 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.277 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.277 * [taylor]: Taking taylor expansion of 2.0 in im 1.277 * [backup-simplify]: Simplify 2.0 into 2.0 1.277 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.277 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.277 * [taylor]: Taking taylor expansion of im in im 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.278 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.278 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.278 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.278 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.278 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.278 * [taylor]: Taking taylor expansion of re in im 1.278 * [backup-simplify]: Simplify re into re 1.278 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.278 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.278 * [taylor]: Taking taylor expansion of im in im 1.278 * [backup-simplify]: Simplify 0 into 0 1.278 * [backup-simplify]: Simplify 1 into 1 1.279 * [backup-simplify]: Simplify (* 1 1) into 1 1.279 * [backup-simplify]: Simplify (/ 1 1) into 1 1.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.279 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.279 * [taylor]: Taking taylor expansion of re in im 1.279 * [backup-simplify]: Simplify re into re 1.279 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.279 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.279 * [backup-simplify]: Simplify (+ 1 0) into 1 1.280 * [backup-simplify]: Simplify (sqrt 1) into 1 1.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.280 * [backup-simplify]: Simplify (+ 0 0) into 0 1.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.281 * [backup-simplify]: Simplify (+ 0 1) into 1 1.281 * [backup-simplify]: Simplify (/ 1 1) into 1 1.282 * [backup-simplify]: Simplify (sqrt 0) into 0 1.282 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.283 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.283 * [taylor]: Taking taylor expansion of 0 in re 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.284 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.284 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.284 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.284 * [taylor]: Taking taylor expansion of +nan.0 in re 1.284 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.285 * [taylor]: Taking taylor expansion of 2.0 in re 1.285 * [backup-simplify]: Simplify 2.0 into 2.0 1.285 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.286 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.287 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.288 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 1.288 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 1.289 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 1.289 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.291 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 1.291 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.291 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.291 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.291 * [taylor]: Taking taylor expansion of +nan.0 in re 1.291 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.291 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.291 * [taylor]: Taking taylor expansion of 2.0 in re 1.291 * [backup-simplify]: Simplify 2.0 into 2.0 1.291 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.292 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.292 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.292 * [taylor]: Taking taylor expansion of +nan.0 in re 1.292 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.292 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.292 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.292 * [taylor]: Taking taylor expansion of 2.0 in re 1.292 * [backup-simplify]: Simplify 2.0 into 2.0 1.292 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.292 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.292 * [taylor]: Taking taylor expansion of re in re 1.293 * [backup-simplify]: Simplify 0 into 0 1.293 * [backup-simplify]: Simplify 1 into 1 1.293 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.294 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.295 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.295 * [backup-simplify]: Simplify (- 0) into 0 1.296 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 1.297 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.298 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.298 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.299 * [backup-simplify]: Simplify (- 0) into 0 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.305 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.306 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.306 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 1.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.307 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 1.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.309 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.310 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 1.310 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.310 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.310 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.310 * [taylor]: Taking taylor expansion of +nan.0 in re 1.310 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.310 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.310 * [taylor]: Taking taylor expansion of 2.0 in re 1.310 * [backup-simplify]: Simplify 2.0 into 2.0 1.310 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.311 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.311 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.311 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.311 * [taylor]: Taking taylor expansion of +nan.0 in re 1.311 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.311 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.311 * [taylor]: Taking taylor expansion of 2.0 in re 1.311 * [backup-simplify]: Simplify 2.0 into 2.0 1.311 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.312 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.312 * [taylor]: Taking taylor expansion of re in re 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 1 into 1 1.312 * [backup-simplify]: Simplify (* 1 1) into 1 1.312 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.312 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.312 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.312 * [taylor]: Taking taylor expansion of +nan.0 in re 1.312 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.312 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.312 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.312 * [taylor]: Taking taylor expansion of 2.0 in re 1.313 * [backup-simplify]: Simplify 2.0 into 2.0 1.313 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.313 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.313 * [taylor]: Taking taylor expansion of re in re 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.314 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.315 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.318 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.319 * [backup-simplify]: Simplify (- 0) into 0 1.319 * [backup-simplify]: Simplify (+ 0 0) into 0 1.319 * [backup-simplify]: Simplify (- 0) into 0 1.320 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 1.321 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.322 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.325 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 1.325 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow (/ 1 (- im)) 2) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 1.325 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 1.325 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 1.325 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.325 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.325 * [taylor]: Taking taylor expansion of 2.0 in re 1.325 * [backup-simplify]: Simplify 2.0 into 2.0 1.326 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.326 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.326 * [taylor]: Taking taylor expansion of im in re 1.326 * [backup-simplify]: Simplify im into im 1.326 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 1.326 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.326 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.326 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.326 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.326 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.326 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.326 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.326 * [taylor]: Taking taylor expansion of im in re 1.327 * [backup-simplify]: Simplify im into im 1.327 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.327 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.327 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.327 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.327 * [taylor]: Taking taylor expansion of re in re 1.327 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify 1 into 1 1.327 * [backup-simplify]: Simplify (* 1 1) into 1 1.327 * [backup-simplify]: Simplify (/ 1 1) into 1 1.327 * [backup-simplify]: Simplify (+ 0 1) into 1 1.328 * [backup-simplify]: Simplify (sqrt 1) into 1 1.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify (+ 0 0) into 0 1.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.329 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.329 * [taylor]: Taking taylor expansion of re in re 1.329 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify 1 into 1 1.329 * [backup-simplify]: Simplify (/ 1 1) into 1 1.330 * [backup-simplify]: Simplify (- 1) into -1 1.330 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (- 0) into 0 1.331 * [backup-simplify]: Simplify (+ 0 0) into 0 1.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.332 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.332 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (- 0) into 0 1.333 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.333 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 1.334 * [backup-simplify]: Simplify (sqrt 0) into 0 1.334 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 1.334 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.334 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.334 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.334 * [taylor]: Taking taylor expansion of 2.0 in im 1.334 * [backup-simplify]: Simplify 2.0 into 2.0 1.334 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.335 * [taylor]: Taking taylor expansion of im in im 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.335 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.335 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.335 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.336 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.336 * [taylor]: Taking taylor expansion of im in im 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (* 1 1) into 1 1.336 * [backup-simplify]: Simplify (/ 1 1) into 1 1.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.336 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.336 * [taylor]: Taking taylor expansion of re in im 1.336 * [backup-simplify]: Simplify re into re 1.336 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.336 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.336 * [backup-simplify]: Simplify (+ 1 0) into 1 1.337 * [backup-simplify]: Simplify (sqrt 1) into 1 1.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify (+ 0 0) into 0 1.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.338 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.338 * [taylor]: Taking taylor expansion of re in im 1.338 * [backup-simplify]: Simplify re into re 1.338 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.338 * [backup-simplify]: Simplify (+ 1 0) into 1 1.339 * [backup-simplify]: Simplify (/ 1 1) into 1 1.339 * [backup-simplify]: Simplify (sqrt 0) into 0 1.340 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.340 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.340 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.340 * [taylor]: Taking taylor expansion of 2.0 in im 1.340 * [backup-simplify]: Simplify 2.0 into 2.0 1.340 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.340 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.340 * [taylor]: Taking taylor expansion of im in im 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.341 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.341 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.341 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.341 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.341 * [taylor]: Taking taylor expansion of im in im 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.341 * [backup-simplify]: Simplify (* 1 1) into 1 1.342 * [backup-simplify]: Simplify (/ 1 1) into 1 1.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.342 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.342 * [taylor]: Taking taylor expansion of re in im 1.342 * [backup-simplify]: Simplify re into re 1.342 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.342 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.342 * [backup-simplify]: Simplify (+ 1 0) into 1 1.342 * [backup-simplify]: Simplify (sqrt 1) into 1 1.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.343 * [backup-simplify]: Simplify (+ 0 0) into 0 1.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.344 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.344 * [taylor]: Taking taylor expansion of re in im 1.344 * [backup-simplify]: Simplify re into re 1.344 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.344 * [backup-simplify]: Simplify (+ 1 0) into 1 1.344 * [backup-simplify]: Simplify (/ 1 1) into 1 1.345 * [backup-simplify]: Simplify (sqrt 0) into 0 1.345 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.346 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.346 * [taylor]: Taking taylor expansion of 0 in re 1.346 * [backup-simplify]: Simplify 0 into 0 1.346 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.347 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.347 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.347 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.347 * [taylor]: Taking taylor expansion of +nan.0 in re 1.347 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.348 * [taylor]: Taking taylor expansion of 2.0 in re 1.348 * [backup-simplify]: Simplify 2.0 into 2.0 1.348 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 1.348 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 1.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 1.349 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 1.350 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.351 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 1.351 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.351 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.351 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.351 * [taylor]: Taking taylor expansion of +nan.0 in re 1.351 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.351 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.351 * [taylor]: Taking taylor expansion of 2.0 in re 1.351 * [backup-simplify]: Simplify 2.0 into 2.0 1.351 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.352 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.352 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.352 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.352 * [taylor]: Taking taylor expansion of +nan.0 in re 1.352 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.352 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.352 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.352 * [taylor]: Taking taylor expansion of 2.0 in re 1.352 * [backup-simplify]: Simplify 2.0 into 2.0 1.352 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.353 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.353 * [taylor]: Taking taylor expansion of re in re 1.353 * [backup-simplify]: Simplify 0 into 0 1.353 * [backup-simplify]: Simplify 1 into 1 1.353 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.354 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.355 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.356 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.357 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.358 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.359 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.360 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.360 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.362 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.362 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.363 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.363 * [backup-simplify]: Simplify (- 0) into 0 1.363 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 1.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.364 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 1.364 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.366 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 1.366 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.366 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.366 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.366 * [taylor]: Taking taylor expansion of +nan.0 in re 1.366 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.366 * [taylor]: Taking taylor expansion of 2.0 in re 1.366 * [backup-simplify]: Simplify 2.0 into 2.0 1.366 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.367 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.367 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.367 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.367 * [taylor]: Taking taylor expansion of +nan.0 in re 1.367 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.367 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.367 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.367 * [taylor]: Taking taylor expansion of 2.0 in re 1.367 * [backup-simplify]: Simplify 2.0 into 2.0 1.367 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.368 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.368 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.368 * [taylor]: Taking taylor expansion of re in re 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify 1 into 1 1.368 * [backup-simplify]: Simplify (* 1 1) into 1 1.368 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.369 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.369 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.369 * [taylor]: Taking taylor expansion of +nan.0 in re 1.369 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.369 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.369 * [taylor]: Taking taylor expansion of 2.0 in re 1.369 * [backup-simplify]: Simplify 2.0 into 2.0 1.369 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.369 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.369 * [taylor]: Taking taylor expansion of re in re 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.370 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.371 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.372 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.373 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.374 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.375 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.377 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.378 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.379 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.382 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 1.382 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 1.382 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1.382 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.382 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.382 * [taylor]: Taking taylor expansion of re in im 1.382 * [backup-simplify]: Simplify re into re 1.382 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.382 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.382 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.382 * [taylor]: Taking taylor expansion of re in im 1.382 * [backup-simplify]: Simplify re into re 1.382 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.382 * [taylor]: Taking taylor expansion of im in im 1.382 * [backup-simplify]: Simplify 0 into 0 1.382 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.382 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.382 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.383 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.383 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.383 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.383 * [taylor]: Taking taylor expansion of re in re 1.383 * [backup-simplify]: Simplify 0 into 0 1.383 * [backup-simplify]: Simplify 1 into 1 1.383 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.383 * [taylor]: Taking taylor expansion of im in re 1.383 * [backup-simplify]: Simplify im into im 1.383 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.383 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.383 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.383 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.384 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.384 * [taylor]: Taking taylor expansion of re in re 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.384 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.384 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.384 * [taylor]: Taking taylor expansion of re in re 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.384 * [taylor]: Taking taylor expansion of im in re 1.384 * [backup-simplify]: Simplify im into im 1.384 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.384 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.384 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.384 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.384 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.385 * [backup-simplify]: Simplify (+ 0 im) into im 1.385 * [taylor]: Taking taylor expansion of im in im 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify 0 into 0 1.385 * [backup-simplify]: Simplify (+ 1 0) into 1 1.385 * [taylor]: Taking taylor expansion of 1 in im 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (* 1 1) into 1 1.385 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.386 * [backup-simplify]: Simplify (+ 1 0) into 1 1.386 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.386 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.386 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.386 * [taylor]: Taking taylor expansion of 1/2 in im 1.386 * [backup-simplify]: Simplify 1/2 into 1/2 1.386 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.386 * [taylor]: Taking taylor expansion of im in im 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (/ 1 1) into 1 1.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.387 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.388 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.389 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.389 * [backup-simplify]: Simplify (+ 0 0) into 0 1.389 * [taylor]: Taking taylor expansion of 0 in im 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.390 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.390 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1.390 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.390 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.390 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.390 * [taylor]: Taking taylor expansion of re in im 1.390 * [backup-simplify]: Simplify re into re 1.390 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.390 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.390 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.390 * [taylor]: Taking taylor expansion of im in im 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (* 1 1) into 1 1.391 * [backup-simplify]: Simplify (/ 1 1) into 1 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.391 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.391 * [taylor]: Taking taylor expansion of re in im 1.391 * [backup-simplify]: Simplify re into re 1.391 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.391 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.391 * [backup-simplify]: Simplify (+ 1 0) into 1 1.392 * [backup-simplify]: Simplify (sqrt 1) into 1 1.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify (+ 0 0) into 0 1.393 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.393 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.393 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.393 * [taylor]: Taking taylor expansion of re in re 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify (/ 1 1) into 1 1.393 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.393 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.393 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.393 * [taylor]: Taking taylor expansion of im in re 1.393 * [backup-simplify]: Simplify im into im 1.393 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.394 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.394 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.394 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.394 * [taylor]: Taking taylor expansion of re in re 1.394 * [backup-simplify]: Simplify 0 into 0 1.394 * [backup-simplify]: Simplify 1 into 1 1.394 * [backup-simplify]: Simplify (* 1 1) into 1 1.394 * [backup-simplify]: Simplify (/ 1 1) into 1 1.399 * [backup-simplify]: Simplify (+ 0 1) into 1 1.399 * [backup-simplify]: Simplify (sqrt 1) into 1 1.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (+ 0 0) into 0 1.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.401 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.401 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.401 * [taylor]: Taking taylor expansion of re in re 1.401 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify 1 into 1 1.401 * [backup-simplify]: Simplify (/ 1 1) into 1 1.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.401 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.401 * [taylor]: Taking taylor expansion of im in re 1.401 * [backup-simplify]: Simplify im into im 1.401 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.401 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.401 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.401 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.401 * [taylor]: Taking taylor expansion of re in re 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (* 1 1) into 1 1.402 * [backup-simplify]: Simplify (/ 1 1) into 1 1.402 * [backup-simplify]: Simplify (+ 0 1) into 1 1.402 * [backup-simplify]: Simplify (sqrt 1) into 1 1.403 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.403 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.403 * [backup-simplify]: Simplify (+ 0 0) into 0 1.404 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.404 * [backup-simplify]: Simplify (+ 1 1) into 2 1.404 * [taylor]: Taking taylor expansion of 2 in im 1.404 * [backup-simplify]: Simplify 2 into 2 1.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.405 * [backup-simplify]: Simplify (+ 0 0) into 0 1.405 * [taylor]: Taking taylor expansion of 0 in im 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 2 into 2 1.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.407 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.407 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.408 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.408 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.408 * [taylor]: Taking taylor expansion of 1/2 in im 1.408 * [backup-simplify]: Simplify 1/2 into 1/2 1.408 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.408 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.408 * [taylor]: Taking taylor expansion of im in im 1.408 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify 1 into 1 1.408 * [backup-simplify]: Simplify (* 1 1) into 1 1.408 * [backup-simplify]: Simplify (/ 1 1) into 1 1.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify 0 into 0 1.409 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.411 * [backup-simplify]: Simplify (+ 0 0) into 0 1.412 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.412 * [backup-simplify]: Simplify (+ 0 0) into 0 1.412 * [taylor]: Taking taylor expansion of 0 in im 1.412 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.414 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1.414 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.414 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.414 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.414 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.414 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.414 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.414 * [taylor]: Taking taylor expansion of im in im 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 1 into 1 1.414 * [backup-simplify]: Simplify (* 1 1) into 1 1.415 * [backup-simplify]: Simplify (/ 1 1) into 1 1.415 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.415 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.415 * [taylor]: Taking taylor expansion of re in im 1.415 * [backup-simplify]: Simplify re into re 1.415 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.415 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.415 * [backup-simplify]: Simplify (+ 1 0) into 1 1.415 * [backup-simplify]: Simplify (sqrt 1) into 1 1.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.417 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.417 * [taylor]: Taking taylor expansion of re in im 1.417 * [backup-simplify]: Simplify re into re 1.417 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.417 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.417 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.417 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.417 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.417 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.417 * [taylor]: Taking taylor expansion of im in re 1.417 * [backup-simplify]: Simplify im into im 1.417 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.417 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.417 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.417 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.417 * [taylor]: Taking taylor expansion of re in re 1.417 * [backup-simplify]: Simplify 0 into 0 1.417 * [backup-simplify]: Simplify 1 into 1 1.417 * [backup-simplify]: Simplify (* 1 1) into 1 1.417 * [backup-simplify]: Simplify (/ 1 1) into 1 1.418 * [backup-simplify]: Simplify (+ 0 1) into 1 1.418 * [backup-simplify]: Simplify (sqrt 1) into 1 1.418 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.419 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.419 * [taylor]: Taking taylor expansion of re in re 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.420 * [backup-simplify]: Simplify (/ 1 1) into 1 1.420 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.420 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.420 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.420 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.420 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.420 * [taylor]: Taking taylor expansion of im in re 1.420 * [backup-simplify]: Simplify im into im 1.420 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.420 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.420 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.420 * [taylor]: Taking taylor expansion of re in re 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.420 * [backup-simplify]: Simplify (* 1 1) into 1 1.420 * [backup-simplify]: Simplify (/ 1 1) into 1 1.421 * [backup-simplify]: Simplify (+ 0 1) into 1 1.421 * [backup-simplify]: Simplify (sqrt 1) into 1 1.421 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.422 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.422 * [backup-simplify]: Simplify (+ 0 0) into 0 1.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.422 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.422 * [taylor]: Taking taylor expansion of re in re 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 1 into 1 1.423 * [backup-simplify]: Simplify (/ 1 1) into 1 1.423 * [backup-simplify]: Simplify (- 1) into -1 1.423 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.423 * [taylor]: Taking taylor expansion of 0 in im 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.424 * [backup-simplify]: Simplify (- 0) into 0 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.424 * [taylor]: Taking taylor expansion of 0 in im 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.425 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.426 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.427 * [backup-simplify]: Simplify (- 0) into 0 1.427 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.427 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.427 * [taylor]: Taking taylor expansion of 1/2 in im 1.427 * [backup-simplify]: Simplify 1/2 into 1/2 1.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.427 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.427 * [taylor]: Taking taylor expansion of im in im 1.427 * [backup-simplify]: Simplify 0 into 0 1.427 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (* 1 1) into 1 1.427 * [backup-simplify]: Simplify (/ 1 1) into 1 1.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.428 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.428 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.429 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.429 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.430 * [backup-simplify]: Simplify (+ 0 0) into 0 1.430 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.431 * [backup-simplify]: Simplify (- 0) into 0 1.431 * [backup-simplify]: Simplify (+ 0 0) into 0 1.431 * [taylor]: Taking taylor expansion of 0 in im 1.431 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.432 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * * * [progress]: simplifying candidates 1.434 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (log im) 2) (log (+ (sqrt (+ (* re re) (* im im))) re))) (- (* (log im) 2) (log (+ (sqrt (+ (* re re) (* im im))) re))) (- (log (pow im 2)) (log (+ (sqrt (+ (* re re) (* im im))) re))) (log (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (exp (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (pow im 2) (pow im 2)) (pow im 2)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (- (pow im 2)) (- (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (* (cbrt im) (cbrt im)) 2) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow (cbrt im) 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (* (cbrt im) (cbrt im)) 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (cbrt im) 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (* (cbrt im) (cbrt im)) 2) 1) (/ (pow (cbrt im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (* (cbrt im) (cbrt im)) 2) 1) (/ (pow (cbrt im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (sqrt im) 2) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow (sqrt im) 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (sqrt im) 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (sqrt im) 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (sqrt im) 2) 1) (/ (pow (sqrt im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (sqrt im) 2) 1) (/ (pow (sqrt im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow 1 2) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow 1 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow 1 2) 1) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow 1 2) 1) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im 1) (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ im 1) (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (pow im 2)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (pow im 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1) (/ (cbrt (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1) (/ (cbrt (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (sqrt (pow im 2)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (pow im 2)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (pow im 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (pow im 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (pow im 2)) 1) (/ (sqrt (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (sqrt (pow im 2)) 1) (/ (sqrt (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 1) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 1) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow im (/ 2 2)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im (/ 2 2)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im (/ 2 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im (/ 2 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im (/ 2 2)) 1) (/ (pow im (/ 2 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow im (/ 2 2)) 1) (/ (pow im (/ 2 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (pow im 2) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) 1) (/ (pow im 2) 1) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow (cbrt im) 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow (sqrt im) 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im) (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt (pow im 2))) (/ (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (pow im 2))) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im (/ 2 2))) (/ (pow im 2) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (pow im 2) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (log (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt 2.0) (sqrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (pow im 2))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) 0 0 (- (+ re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (+ re im) (* 2 re) 0 1.435 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* 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2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (cbrt (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (* (* (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (sqrt (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (sqrt (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (- (pow h1 2)) (- (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (pow (* (cbrt h1) (cbrt h1)) 2) (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (/ (pow (cbrt h1) 2) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow (* (cbrt h1) (cbrt h1)) 2) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow (cbrt h1) 2) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow (* (cbrt h1) (cbrt h1)) 2) 1) (/ (pow (cbrt h1) 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (pow (* (cbrt h1) (cbrt h1)) 2) 1) (/ (pow (cbrt h1) 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (pow (sqrt h1) 2) (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (/ (pow (sqrt h1) 2) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow (sqrt h1) 2) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow (sqrt h1) 2) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow (sqrt h1) 2) 1) (/ (pow (sqrt h1) 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (pow (sqrt h1) 2) 1) (/ (pow (sqrt h1) 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (pow 1 2) (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (/ (pow h1 2) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow 1 2) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow h1 2) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow 1 2) 1) (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (pow 1 2) 1) (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ h1 (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (/ h1 (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ h1 (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ h1 (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ h1 1) (/ h1 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ h1 1) (/ h1 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (* (cbrt (pow h1 2)) (cbrt (pow h1 2))) (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (/ (cbrt (pow h1 2)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (* (cbrt (pow h1 2)) (cbrt (pow h1 2))) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (cbrt (pow h1 2)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (* (cbrt (pow h1 2)) (cbrt (pow h1 2))) 1) (/ (cbrt (pow h1 2)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (* (cbrt (pow h1 2)) (cbrt (pow h1 2))) 1) (/ (cbrt (pow h1 2)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (sqrt (pow h1 2)) (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (/ (sqrt (pow h1 2)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (sqrt (pow h1 2)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (sqrt (pow h1 2)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (sqrt (pow h1 2)) 1) (/ (sqrt (pow h1 2)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (sqrt (pow h1 2)) 1) (/ (sqrt (pow h1 2)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ 1 (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (/ (pow h1 2) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ 1 (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow h1 2) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ 1 1) (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ 1 1) (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (pow h1 (/ 2 2)) (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (/ (pow h1 (/ 2 2)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow h1 (/ 2 2)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow h1 (/ 2 2)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow h1 (/ 2 2)) 1) (/ (pow h1 (/ 2 2)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (pow h1 (/ 2 2)) 1) (/ (pow h1 (/ 2 2)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ 1 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (pow h1 2)) (/ (pow h1 2) (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (/ (pow h1 2) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow h1 2) 1) (/ (pow h1 2) 1) (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (pow (cbrt h1) 2)) (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (pow (sqrt h1) 2)) (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (pow h1 2)) (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1) (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (cbrt (pow h1 2))) (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (sqrt (pow h1 2))) (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (pow h1 2)) (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (pow h1 (/ 2 2))) (/ (pow h1 2) (+ (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3))) (/ (pow h1 2) (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0))) (log (sqrt (* h2 (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))) (exp (sqrt (* h2 (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))) (* (cbrt (sqrt (* h2 (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))) (cbrt (sqrt (* h2 (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))))) (cbrt (sqrt (* h2 (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))) (* (* (sqrt (* h2 (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (sqrt (* h2 (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))) (sqrt (* h2 (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))) (sqrt h2) (sqrt (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (sqrt (* h2 (pow h1 2))) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))) (sqrt (sqrt (* h2 (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))))) (* (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (exp h0)) (log (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (exp (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (* (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3)) (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0)) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1 h0 (* -1 h0) 0 0 (- (+ h0 h1)) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) (* h1 h0)))) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) h1))) (- (* h3 (/ (* (sqrt h2) (pow h1 3)) (sqrt 1/2)))))))) (- (+ (* h3 (/ (sqrt h2) (pow h1 2))) (- (+ (* h3 (/ (sqrt h2) h1)) (- (* h3 (sqrt h2))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (* (sqrt h2) h0) h1)) (- (* h3 (/ (* (sqrt h2) h0) (pow h1 2)))))))) (+ h0 h1) (* 2 h0) 0 1.441 * * [simplify]: iteration 0 : 417 enodes (cost 1078 ) 1.449 * * [simplify]: iteration 1 : 1461 enodes (cost 985 ) 1.483 * * [simplify]: iteration 2 : 5001 enodes (cost 978 ) 1.487 * * * [progress]: adding candidates to table 1.761 * * [progress]: iteration 4 / 4 1.761 * * * [progress]: picking best candidate 1.784 * * * * [pick]: Picked # 1.785 * * * [progress]: localizing error 1.799 * * * [progress]: generating rewritten candidates 1.799 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 1) 1.807 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.839 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1) 1.866 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.922 * * * [progress]: generating series expansions 1.922 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 1) 1.922 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.922 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.922 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.922 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.922 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.922 * [taylor]: Taking taylor expansion of re in im 1.922 * [backup-simplify]: Simplify re into re 1.922 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.922 * [taylor]: Taking taylor expansion of im in im 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 1 into 1 1.922 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.922 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.922 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.922 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.923 * [backup-simplify]: Simplify (+ 0 0) into 0 1.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.923 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.923 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.923 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.923 * [taylor]: Taking taylor expansion of re in re 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.923 * [taylor]: Taking taylor expansion of im in re 1.923 * [backup-simplify]: Simplify im into im 1.923 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.923 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.923 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.923 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.924 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.924 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.924 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.924 * [taylor]: Taking taylor expansion of re in re 1.924 * [backup-simplify]: Simplify 0 into 0 1.924 * [backup-simplify]: Simplify 1 into 1 1.924 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.924 * [taylor]: Taking taylor expansion of im in re 1.924 * [backup-simplify]: Simplify im into im 1.924 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.924 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.924 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.924 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.925 * [taylor]: Taking taylor expansion of im in im 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [taylor]: Taking taylor expansion of 0 in im 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.925 * [backup-simplify]: Simplify (* 1 1) into 1 1.925 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.925 * [backup-simplify]: Simplify (+ 1 0) into 1 1.926 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.926 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.926 * [taylor]: Taking taylor expansion of 1/2 in im 1.926 * [backup-simplify]: Simplify 1/2 into 1/2 1.926 * [taylor]: Taking taylor expansion of im in im 1.926 * [backup-simplify]: Simplify 0 into 0 1.926 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify 0 into 0 1.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.928 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.928 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.928 * [taylor]: Taking taylor expansion of 0 in im 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.929 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.929 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.929 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.929 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.929 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.929 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.929 * [taylor]: Taking taylor expansion of im in im 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 1 into 1 1.929 * [backup-simplify]: Simplify (* 1 1) into 1 1.930 * [backup-simplify]: Simplify (/ 1 1) into 1 1.930 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.930 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.930 * [taylor]: Taking taylor expansion of re in im 1.930 * [backup-simplify]: Simplify re into re 1.930 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.930 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.930 * [backup-simplify]: Simplify (+ 1 0) into 1 1.930 * [backup-simplify]: Simplify (sqrt 1) into 1 1.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.931 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.931 * [backup-simplify]: Simplify (+ 0 0) into 0 1.932 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.932 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.932 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.932 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.932 * [taylor]: Taking taylor expansion of im in re 1.932 * [backup-simplify]: Simplify im into im 1.932 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.932 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.932 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.932 * [taylor]: Taking taylor expansion of re in re 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.933 * [backup-simplify]: Simplify (* 1 1) into 1 1.933 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [backup-simplify]: Simplify (+ 0 1) into 1 1.933 * [backup-simplify]: Simplify (sqrt 1) into 1 1.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (+ 0 0) into 0 1.935 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.935 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.935 * [taylor]: Taking taylor expansion of im in re 1.935 * [backup-simplify]: Simplify im into im 1.935 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.935 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.935 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.935 * [taylor]: Taking taylor expansion of re in re 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.936 * [backup-simplify]: Simplify (* 1 1) into 1 1.936 * [backup-simplify]: Simplify (/ 1 1) into 1 1.936 * [backup-simplify]: Simplify (+ 0 1) into 1 1.936 * [backup-simplify]: Simplify (sqrt 1) into 1 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.938 * [taylor]: Taking taylor expansion of 1 in im 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [taylor]: Taking taylor expansion of 0 in im 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.939 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.939 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.940 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.940 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.940 * [taylor]: Taking taylor expansion of 1/2 in im 1.940 * [backup-simplify]: Simplify 1/2 into 1/2 1.940 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.940 * [taylor]: Taking taylor expansion of im in im 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (* 1 1) into 1 1.940 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify 0 into 0 1.941 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.941 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.943 * [backup-simplify]: Simplify (+ 0 0) into 0 1.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.943 * [taylor]: Taking taylor expansion of 0 in im 1.943 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.945 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.945 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.945 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.945 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.945 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.945 * [taylor]: Taking taylor expansion of im in im 1.945 * [backup-simplify]: Simplify 0 into 0 1.945 * [backup-simplify]: Simplify 1 into 1 1.945 * [backup-simplify]: Simplify (* 1 1) into 1 1.945 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.945 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.945 * [taylor]: Taking taylor expansion of re in im 1.945 * [backup-simplify]: Simplify re into re 1.945 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.945 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.946 * [backup-simplify]: Simplify (+ 1 0) into 1 1.946 * [backup-simplify]: Simplify (sqrt 1) into 1 1.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.947 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (+ 0 0) into 0 1.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.947 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.947 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.947 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.947 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.947 * [taylor]: Taking taylor expansion of im in re 1.947 * [backup-simplify]: Simplify im into im 1.947 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.947 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.948 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.948 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.948 * [taylor]: Taking taylor expansion of re in re 1.948 * [backup-simplify]: Simplify 0 into 0 1.948 * [backup-simplify]: Simplify 1 into 1 1.948 * [backup-simplify]: Simplify (* 1 1) into 1 1.948 * [backup-simplify]: Simplify (/ 1 1) into 1 1.948 * [backup-simplify]: Simplify (+ 0 1) into 1 1.948 * [backup-simplify]: Simplify (sqrt 1) into 1 1.949 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.949 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.950 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.950 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.950 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.950 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.950 * [taylor]: Taking taylor expansion of im in re 1.950 * [backup-simplify]: Simplify im into im 1.950 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.950 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.950 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.950 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.950 * [taylor]: Taking taylor expansion of re in re 1.950 * [backup-simplify]: Simplify 0 into 0 1.950 * [backup-simplify]: Simplify 1 into 1 1.950 * [backup-simplify]: Simplify (* 1 1) into 1 1.951 * [backup-simplify]: Simplify (/ 1 1) into 1 1.951 * [backup-simplify]: Simplify (+ 0 1) into 1 1.951 * [backup-simplify]: Simplify (sqrt 1) into 1 1.951 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (+ 0 0) into 0 1.952 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.952 * [taylor]: Taking taylor expansion of 1 in im 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [taylor]: Taking taylor expansion of 0 in im 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 1 into 1 1.953 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.959 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.959 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.959 * [taylor]: Taking taylor expansion of 1/2 in im 1.959 * [backup-simplify]: Simplify 1/2 into 1/2 1.959 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.959 * [taylor]: Taking taylor expansion of im in im 1.959 * [backup-simplify]: Simplify 0 into 0 1.959 * [backup-simplify]: Simplify 1 into 1 1.959 * [backup-simplify]: Simplify (* 1 1) into 1 1.960 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.960 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.961 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.962 * [backup-simplify]: Simplify (+ 0 0) into 0 1.962 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.963 * [taylor]: Taking taylor expansion of 0 in im 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.964 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify 0 into 0 1.964 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.964 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.964 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 1.964 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 1.964 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 1.964 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.964 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.964 * [taylor]: Taking taylor expansion of 2.0 in re 1.964 * [backup-simplify]: Simplify 2.0 into 2.0 1.965 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.965 * [taylor]: Taking taylor expansion of im in re 1.965 * [backup-simplify]: Simplify im into im 1.965 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.965 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.965 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.965 * [taylor]: Taking taylor expansion of re in re 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.965 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.965 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.965 * [taylor]: Taking taylor expansion of re in re 1.965 * [backup-simplify]: Simplify 0 into 0 1.965 * [backup-simplify]: Simplify 1 into 1 1.965 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.965 * [taylor]: Taking taylor expansion of im in re 1.965 * [backup-simplify]: Simplify im into im 1.965 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.966 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.966 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.966 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.966 * [backup-simplify]: Simplify (+ 0 0) into 0 1.966 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.966 * [backup-simplify]: Simplify (+ 0 im) into im 1.966 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.966 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 1.966 * [backup-simplify]: Simplify (+ 1 0) into 1 1.966 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 1.967 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 1.967 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.967 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.967 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.967 * [taylor]: Taking taylor expansion of 2.0 in im 1.967 * [backup-simplify]: Simplify 2.0 into 2.0 1.967 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.967 * [taylor]: Taking taylor expansion of im in im 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.967 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.967 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.968 * [taylor]: Taking taylor expansion of re in im 1.968 * [backup-simplify]: Simplify re into re 1.968 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.968 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.968 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.968 * [taylor]: Taking taylor expansion of re in im 1.968 * [backup-simplify]: Simplify re into re 1.968 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.968 * [taylor]: Taking taylor expansion of im in im 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.968 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.968 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.968 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.968 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.968 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 1.968 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 1.969 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 1.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 1.969 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.969 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.969 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.969 * [taylor]: Taking taylor expansion of 2.0 in im 1.969 * [backup-simplify]: Simplify 2.0 into 2.0 1.969 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.970 * [taylor]: Taking taylor expansion of im in im 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.970 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.970 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.970 * [taylor]: Taking taylor expansion of re in im 1.970 * [backup-simplify]: Simplify re into re 1.970 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.970 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.970 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.970 * [taylor]: Taking taylor expansion of re in im 1.970 * [backup-simplify]: Simplify re into re 1.970 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.970 * [taylor]: Taking taylor expansion of im in im 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.970 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.970 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.970 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.970 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.970 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.971 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 1.971 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 1.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 1.971 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.972 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 1.972 * [taylor]: Taking taylor expansion of 0 in re 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 1.974 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 1.974 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 1.974 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 1.974 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.974 * [taylor]: Taking taylor expansion of 2.0 in re 1.974 * [backup-simplify]: Simplify 2.0 into 2.0 1.974 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.974 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.974 * [taylor]: Taking taylor expansion of 1/2 in re 1.974 * [backup-simplify]: Simplify 1/2 into 1/2 1.975 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.975 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 1.975 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.975 * [taylor]: Taking taylor expansion of re in re 1.975 * [backup-simplify]: Simplify 0 into 0 1.975 * [backup-simplify]: Simplify 1 into 1 1.975 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [backup-simplify]: Simplify (sqrt 0) into 0 1.976 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.977 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 1.978 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 1.980 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.982 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.982 * [backup-simplify]: Simplify 0 into 0 1.982 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.983 * [backup-simplify]: Simplify (* 1 1) into 1 1.983 * [backup-simplify]: Simplify (+ 0 1) into 1 1.983 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.983 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 1.983 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 1.984 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 1.985 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.986 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 1.987 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 1.987 * [taylor]: Taking taylor expansion of 0 in re 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.990 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1.991 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.991 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 1.994 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.995 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.995 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 1.998 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 1.999 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.999 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.001 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 2.001 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 2.001 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 2.001 * [taylor]: Taking taylor expansion of 1/16 in re 2.001 * [backup-simplify]: Simplify 1/16 into 1/16 2.001 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 2.001 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 2.001 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.001 * [taylor]: Taking taylor expansion of 2.0 in re 2.001 * [backup-simplify]: Simplify 2.0 into 2.0 2.002 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.002 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.002 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 2.002 * [taylor]: Taking taylor expansion of 1/2 in re 2.002 * [backup-simplify]: Simplify 1/2 into 1/2 2.002 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.003 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 2.003 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 2.003 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 2.003 * [taylor]: Taking taylor expansion of (pow re 5) in re 2.003 * [taylor]: Taking taylor expansion of re in re 2.003 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (* 1 1) into 1 2.004 * [backup-simplify]: Simplify (* 1 1) into 1 2.004 * [backup-simplify]: Simplify (* 1 1) into 1 2.004 * [backup-simplify]: Simplify (/ 1 1) into 1 2.005 * [backup-simplify]: Simplify (sqrt 0) into 0 2.005 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.008 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.008 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.009 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.012 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.013 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 2.014 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.014 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 2.015 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 2.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.016 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 2.017 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 2.020 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.022 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.024 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.025 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 2.029 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.031 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.033 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.039 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 2.040 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow (/ 1 im) (/ 2 2)) (/ (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) (/ 1 im))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 2.040 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 2.040 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 2.040 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.040 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.040 * [taylor]: Taking taylor expansion of 2.0 in re 2.040 * [backup-simplify]: Simplify 2.0 into 2.0 2.040 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.040 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.040 * [taylor]: Taking taylor expansion of im in re 2.040 * [backup-simplify]: Simplify im into im 2.041 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.041 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 2.041 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.041 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.041 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.041 * [taylor]: Taking taylor expansion of re in re 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.041 * [backup-simplify]: Simplify (/ 1 1) into 1 2.041 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.041 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.041 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.041 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.041 * [taylor]: Taking taylor expansion of im in re 2.041 * [backup-simplify]: Simplify im into im 2.041 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.041 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.041 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.041 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.041 * [taylor]: Taking taylor expansion of re in re 2.041 * [backup-simplify]: Simplify 0 into 0 2.041 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (* 1 1) into 1 2.042 * [backup-simplify]: Simplify (/ 1 1) into 1 2.042 * [backup-simplify]: Simplify (+ 0 1) into 1 2.042 * [backup-simplify]: Simplify (sqrt 1) into 1 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.044 * [backup-simplify]: Simplify (+ 1 1) into 2 2.044 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.044 * [backup-simplify]: Simplify (sqrt 0) into 0 2.050 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 2.050 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.050 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.050 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.050 * [taylor]: Taking taylor expansion of 2.0 in im 2.050 * [backup-simplify]: Simplify 2.0 into 2.0 2.050 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.051 * [taylor]: Taking taylor expansion of im in im 2.051 * [backup-simplify]: Simplify 0 into 0 2.051 * [backup-simplify]: Simplify 1 into 1 2.051 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.051 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.051 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.051 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.051 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.051 * [taylor]: Taking taylor expansion of re in im 2.051 * [backup-simplify]: Simplify re into re 2.051 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.052 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.052 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.052 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.052 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.052 * [taylor]: Taking taylor expansion of im in im 2.052 * [backup-simplify]: Simplify 0 into 0 2.052 * [backup-simplify]: Simplify 1 into 1 2.052 * [backup-simplify]: Simplify (* 1 1) into 1 2.052 * [backup-simplify]: Simplify (/ 1 1) into 1 2.052 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.052 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.052 * [taylor]: Taking taylor expansion of re in im 2.052 * [backup-simplify]: Simplify re into re 2.052 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.052 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.053 * [backup-simplify]: Simplify (+ 1 0) into 1 2.053 * [backup-simplify]: Simplify (sqrt 1) into 1 2.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.054 * [backup-simplify]: Simplify (+ 0 0) into 0 2.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.054 * [backup-simplify]: Simplify (+ 0 1) into 1 2.055 * [backup-simplify]: Simplify (/ 1 1) into 1 2.055 * [backup-simplify]: Simplify (sqrt 0) into 0 2.056 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.056 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.056 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.056 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.056 * [taylor]: Taking taylor expansion of 2.0 in im 2.056 * [backup-simplify]: Simplify 2.0 into 2.0 2.056 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.056 * [taylor]: Taking taylor expansion of im in im 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.057 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.057 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.057 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.057 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.057 * [taylor]: Taking taylor expansion of re in im 2.057 * [backup-simplify]: Simplify re into re 2.057 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.057 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.057 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.057 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.057 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.057 * [taylor]: Taking taylor expansion of im in im 2.057 * [backup-simplify]: Simplify 0 into 0 2.057 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (* 1 1) into 1 2.058 * [backup-simplify]: Simplify (/ 1 1) into 1 2.058 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.058 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.058 * [taylor]: Taking taylor expansion of re in im 2.058 * [backup-simplify]: Simplify re into re 2.058 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.058 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.058 * [backup-simplify]: Simplify (+ 1 0) into 1 2.058 * [backup-simplify]: Simplify (sqrt 1) into 1 2.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (+ 0 0) into 0 2.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.060 * [backup-simplify]: Simplify (+ 0 1) into 1 2.060 * [backup-simplify]: Simplify (/ 1 1) into 1 2.060 * [backup-simplify]: Simplify (sqrt 0) into 0 2.061 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.062 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.062 * [taylor]: Taking taylor expansion of 0 in re 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.063 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.063 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.063 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.063 * [taylor]: Taking taylor expansion of +nan.0 in re 2.063 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.063 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.063 * [taylor]: Taking taylor expansion of 2.0 in re 2.063 * [backup-simplify]: Simplify 2.0 into 2.0 2.064 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.064 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.065 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.066 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.067 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 2.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 2.068 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 2.068 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 2.070 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.070 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.070 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.070 * [taylor]: Taking taylor expansion of +nan.0 in re 2.070 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.070 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.070 * [taylor]: Taking taylor expansion of 2.0 in re 2.070 * [backup-simplify]: Simplify 2.0 into 2.0 2.070 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.071 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.071 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.071 * [taylor]: Taking taylor expansion of +nan.0 in re 2.071 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.071 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.071 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.071 * [taylor]: Taking taylor expansion of 2.0 in re 2.071 * [backup-simplify]: Simplify 2.0 into 2.0 2.071 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.071 * [taylor]: Taking taylor expansion of re in re 2.071 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify 1 into 1 2.072 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.072 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.073 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.073 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.074 * [backup-simplify]: Simplify (- 0) into 0 2.075 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.076 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.077 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.077 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.077 * [backup-simplify]: Simplify (- 0) into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify 0 into 0 2.077 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.078 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.078 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.079 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.079 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.079 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 2.080 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.080 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 2.081 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.082 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.083 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 2.083 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.083 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.083 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.083 * [taylor]: Taking taylor expansion of +nan.0 in re 2.083 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.083 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.083 * [taylor]: Taking taylor expansion of 2.0 in re 2.083 * [backup-simplify]: Simplify 2.0 into 2.0 2.083 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.084 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.084 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.084 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.084 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.084 * [taylor]: Taking taylor expansion of +nan.0 in re 2.084 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.084 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.084 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.084 * [taylor]: Taking taylor expansion of 2.0 in re 2.084 * [backup-simplify]: Simplify 2.0 into 2.0 2.084 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.085 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.085 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.085 * [taylor]: Taking taylor expansion of re in re 2.085 * [backup-simplify]: Simplify 0 into 0 2.085 * [backup-simplify]: Simplify 1 into 1 2.085 * [backup-simplify]: Simplify (* 1 1) into 1 2.085 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.085 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.085 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.085 * [taylor]: Taking taylor expansion of +nan.0 in re 2.086 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.086 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.086 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.086 * [taylor]: Taking taylor expansion of 2.0 in re 2.086 * [backup-simplify]: Simplify 2.0 into 2.0 2.086 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.086 * [taylor]: Taking taylor expansion of re in re 2.086 * [backup-simplify]: Simplify 0 into 0 2.086 * [backup-simplify]: Simplify 1 into 1 2.087 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.088 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.088 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.089 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.089 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.090 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.091 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.091 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.092 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.092 * [backup-simplify]: Simplify (- 0) into 0 2.092 * [backup-simplify]: Simplify (+ 0 0) into 0 2.092 * [backup-simplify]: Simplify (- 0) into 0 2.093 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.094 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.095 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.098 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 2.099 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow (/ 1 (- im)) (/ 2 2)) (/ (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) (/ 1 (- im)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 2.099 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 2.099 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 2.099 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.099 * [taylor]: Taking taylor expansion of 2.0 in re 2.099 * [backup-simplify]: Simplify 2.0 into 2.0 2.099 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.100 * [taylor]: Taking taylor expansion of im in re 2.100 * [backup-simplify]: Simplify im into im 2.100 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.100 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 2.100 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 2.100 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.100 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.100 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.100 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.100 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.100 * [taylor]: Taking taylor expansion of im in re 2.100 * [backup-simplify]: Simplify im into im 2.100 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.100 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.100 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.100 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.100 * [taylor]: Taking taylor expansion of re in re 2.100 * [backup-simplify]: Simplify 0 into 0 2.100 * [backup-simplify]: Simplify 1 into 1 2.101 * [backup-simplify]: Simplify (* 1 1) into 1 2.101 * [backup-simplify]: Simplify (/ 1 1) into 1 2.101 * [backup-simplify]: Simplify (+ 0 1) into 1 2.101 * [backup-simplify]: Simplify (sqrt 1) into 1 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.102 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.102 * [backup-simplify]: Simplify (+ 0 0) into 0 2.103 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.103 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.103 * [taylor]: Taking taylor expansion of re in re 2.103 * [backup-simplify]: Simplify 0 into 0 2.103 * [backup-simplify]: Simplify 1 into 1 2.103 * [backup-simplify]: Simplify (/ 1 1) into 1 2.103 * [backup-simplify]: Simplify (- 1) into -1 2.104 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.104 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.104 * [backup-simplify]: Simplify (- 0) into 0 2.104 * [backup-simplify]: Simplify (+ 0 0) into 0 2.105 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.105 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.106 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.107 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.107 * [backup-simplify]: Simplify (- 0) into 0 2.107 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.107 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 2.107 * [backup-simplify]: Simplify (sqrt 0) into 0 2.108 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 2.108 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.108 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.108 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.108 * [taylor]: Taking taylor expansion of 2.0 in im 2.108 * [backup-simplify]: Simplify 2.0 into 2.0 2.108 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.109 * [taylor]: Taking taylor expansion of im in im 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.109 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.109 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.109 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.109 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.109 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.109 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.109 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.109 * [taylor]: Taking taylor expansion of im in im 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.110 * [backup-simplify]: Simplify (/ 1 1) into 1 2.110 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.110 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.110 * [taylor]: Taking taylor expansion of re in im 2.110 * [backup-simplify]: Simplify re into re 2.110 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.110 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.110 * [backup-simplify]: Simplify (+ 1 0) into 1 2.110 * [backup-simplify]: Simplify (sqrt 1) into 1 2.111 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.111 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.111 * [backup-simplify]: Simplify (+ 0 0) into 0 2.112 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.112 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.112 * [taylor]: Taking taylor expansion of re in im 2.112 * [backup-simplify]: Simplify re into re 2.112 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.112 * [backup-simplify]: Simplify (+ 1 0) into 1 2.112 * [backup-simplify]: Simplify (/ 1 1) into 1 2.113 * [backup-simplify]: Simplify (sqrt 0) into 0 2.113 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.113 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.114 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.114 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.114 * [taylor]: Taking taylor expansion of 2.0 in im 2.114 * [backup-simplify]: Simplify 2.0 into 2.0 2.114 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.114 * [taylor]: Taking taylor expansion of im in im 2.114 * [backup-simplify]: Simplify 0 into 0 2.114 * [backup-simplify]: Simplify 1 into 1 2.115 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.115 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.115 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.115 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.115 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.115 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.115 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.115 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.115 * [taylor]: Taking taylor expansion of im in 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 2.115 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.115 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.115 * [taylor]: Taking taylor expansion of re in im 2.115 * [backup-simplify]: Simplify re into re 2.116 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.116 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.116 * [backup-simplify]: Simplify (+ 1 0) into 1 2.116 * [backup-simplify]: Simplify (sqrt 1) into 1 2.116 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.117 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.117 * [backup-simplify]: Simplify (+ 0 0) into 0 2.117 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.118 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.118 * [taylor]: Taking taylor expansion of re in im 2.118 * [backup-simplify]: Simplify re into re 2.118 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.118 * [backup-simplify]: Simplify (+ 1 0) into 1 2.118 * [backup-simplify]: Simplify (/ 1 1) into 1 2.118 * [backup-simplify]: Simplify (sqrt 0) into 0 2.119 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.119 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.119 * [taylor]: Taking taylor expansion of 0 in re 2.119 * [backup-simplify]: Simplify 0 into 0 2.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.121 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.121 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.121 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.121 * [taylor]: Taking taylor expansion of +nan.0 in re 2.121 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.121 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.121 * [taylor]: Taking taylor expansion of 2.0 in re 2.121 * [backup-simplify]: Simplify 2.0 into 2.0 2.121 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.122 * [backup-simplify]: Simplify 0 into 0 2.122 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 2.122 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 2.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 2.123 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 2.124 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.124 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.125 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 2.125 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.125 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.125 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.125 * [taylor]: Taking taylor expansion of +nan.0 in re 2.125 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.125 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.125 * [taylor]: Taking taylor expansion of 2.0 in re 2.125 * [backup-simplify]: Simplify 2.0 into 2.0 2.125 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.126 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.126 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.126 * [taylor]: Taking taylor expansion of +nan.0 in re 2.126 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.126 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.126 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.126 * [taylor]: Taking taylor expansion of 2.0 in re 2.126 * [backup-simplify]: Simplify 2.0 into 2.0 2.126 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.126 * [taylor]: Taking taylor expansion of re in re 2.126 * [backup-simplify]: Simplify 0 into 0 2.127 * [backup-simplify]: Simplify 1 into 1 2.127 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.128 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.128 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.130 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.131 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.132 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.132 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.133 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.134 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.134 * [backup-simplify]: Simplify 0 into 0 2.135 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.135 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.135 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.136 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.136 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.136 * [backup-simplify]: Simplify (- 0) into 0 2.136 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 2.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.137 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 2.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.139 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.144 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 2.144 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.144 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.144 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.145 * [taylor]: Taking taylor expansion of +nan.0 in re 2.145 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.145 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.145 * [taylor]: Taking taylor expansion of 2.0 in re 2.145 * [backup-simplify]: Simplify 2.0 into 2.0 2.145 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.145 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.145 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.145 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.145 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.145 * [taylor]: Taking taylor expansion of +nan.0 in re 2.145 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.145 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.145 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.145 * [taylor]: Taking taylor expansion of 2.0 in re 2.146 * [backup-simplify]: Simplify 2.0 into 2.0 2.146 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.146 * [taylor]: Taking taylor expansion of re in re 2.146 * [backup-simplify]: Simplify 0 into 0 2.146 * [backup-simplify]: Simplify 1 into 1 2.146 * [backup-simplify]: Simplify (* 1 1) into 1 2.147 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.147 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.147 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.147 * [taylor]: Taking taylor expansion of +nan.0 in re 2.147 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.147 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.147 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.147 * [taylor]: Taking taylor expansion of 2.0 in re 2.147 * [backup-simplify]: Simplify 2.0 into 2.0 2.147 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.148 * [taylor]: Taking taylor expansion of re in re 2.148 * [backup-simplify]: Simplify 0 into 0 2.148 * [backup-simplify]: Simplify 1 into 1 2.148 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.149 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.150 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.150 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.151 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.153 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.154 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.155 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.156 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.157 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.160 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 2.160 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1) 2.161 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 2.161 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 2.161 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.161 * [taylor]: Taking taylor expansion of re in im 2.161 * [backup-simplify]: Simplify re into re 2.161 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.161 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.161 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.161 * [taylor]: Taking taylor expansion of re in im 2.161 * [backup-simplify]: Simplify re into re 2.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.161 * [taylor]: Taking taylor expansion of im in im 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.161 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.161 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.161 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.161 * [backup-simplify]: Simplify (+ 0 0) into 0 2.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.161 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.161 * [taylor]: Taking taylor expansion of re in re 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.161 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.161 * [taylor]: Taking taylor expansion of re in re 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.162 * [taylor]: Taking taylor expansion of im in re 2.162 * [backup-simplify]: Simplify im into im 2.162 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.162 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.162 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.162 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.162 * [backup-simplify]: Simplify (+ 0 0) into 0 2.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.162 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.162 * [taylor]: Taking taylor expansion of re in re 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.162 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.162 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.162 * [taylor]: Taking taylor expansion of re in re 2.162 * [backup-simplify]: Simplify 0 into 0 2.162 * [backup-simplify]: Simplify 1 into 1 2.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.162 * [taylor]: Taking taylor expansion of im in re 2.162 * [backup-simplify]: Simplify im into im 2.162 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.163 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.163 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.163 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.163 * [backup-simplify]: Simplify (+ 0 0) into 0 2.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.163 * [backup-simplify]: Simplify (+ 0 im) into im 2.163 * [taylor]: Taking taylor expansion of im in im 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify 0 into 0 2.163 * [backup-simplify]: Simplify (+ 1 0) into 1 2.163 * [taylor]: Taking taylor expansion of 1 in im 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify 1 into 1 2.163 * [backup-simplify]: Simplify 1 into 1 2.164 * [backup-simplify]: Simplify (* 1 1) into 1 2.164 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.164 * [backup-simplify]: Simplify (+ 1 0) into 1 2.165 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.165 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 2.165 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.165 * [taylor]: Taking taylor expansion of 1/2 in im 2.165 * [backup-simplify]: Simplify 1/2 into 1/2 2.165 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.165 * [taylor]: Taking taylor expansion of im in im 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 1 into 1 2.165 * [backup-simplify]: Simplify (/ 1 1) into 1 2.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.166 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.167 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.167 * [backup-simplify]: Simplify (+ 0 0) into 0 2.167 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.167 * [backup-simplify]: Simplify (+ 0 0) into 0 2.167 * [taylor]: Taking taylor expansion of 0 in im 2.167 * [backup-simplify]: Simplify 0 into 0 2.167 * [backup-simplify]: Simplify 0 into 0 2.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.168 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 2.169 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2.169 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.169 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.169 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.169 * [taylor]: Taking taylor expansion of re in im 2.169 * [backup-simplify]: Simplify re into re 2.169 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.169 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.169 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.169 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.169 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.169 * [taylor]: Taking taylor expansion of im in im 2.169 * [backup-simplify]: Simplify 0 into 0 2.169 * [backup-simplify]: Simplify 1 into 1 2.169 * [backup-simplify]: Simplify (* 1 1) into 1 2.170 * [backup-simplify]: Simplify (/ 1 1) into 1 2.170 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.170 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.170 * [taylor]: Taking taylor expansion of re in im 2.170 * [backup-simplify]: Simplify re into re 2.170 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.170 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.170 * [backup-simplify]: Simplify (+ 1 0) into 1 2.170 * [backup-simplify]: Simplify (sqrt 1) into 1 2.171 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.171 * [backup-simplify]: Simplify (+ 0 0) into 0 2.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.172 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.172 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.172 * [taylor]: Taking taylor expansion of re in re 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 1 into 1 2.172 * [backup-simplify]: Simplify (/ 1 1) into 1 2.172 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.172 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.172 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.172 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.172 * [taylor]: Taking taylor expansion of im in re 2.172 * [backup-simplify]: Simplify im into im 2.172 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.172 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.172 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.172 * [taylor]: Taking taylor expansion of re in re 2.172 * [backup-simplify]: Simplify 0 into 0 2.172 * [backup-simplify]: Simplify 1 into 1 2.173 * [backup-simplify]: Simplify (* 1 1) into 1 2.173 * [backup-simplify]: Simplify (/ 1 1) into 1 2.173 * [backup-simplify]: Simplify (+ 0 1) into 1 2.173 * [backup-simplify]: Simplify (sqrt 1) into 1 2.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.174 * [backup-simplify]: Simplify (+ 0 0) into 0 2.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.175 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.175 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.175 * [taylor]: Taking taylor expansion of re in re 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.175 * [backup-simplify]: Simplify (/ 1 1) into 1 2.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.175 * [taylor]: Taking taylor expansion of im in re 2.175 * [backup-simplify]: Simplify im into im 2.175 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.175 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.175 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.175 * [taylor]: Taking taylor expansion of re in re 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.176 * [backup-simplify]: Simplify (* 1 1) into 1 2.176 * [backup-simplify]: Simplify (/ 1 1) into 1 2.176 * [backup-simplify]: Simplify (+ 0 1) into 1 2.176 * [backup-simplify]: Simplify (sqrt 1) into 1 2.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (+ 0 0) into 0 2.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.178 * [backup-simplify]: Simplify (+ 1 1) into 2 2.178 * [taylor]: Taking taylor expansion of 2 in im 2.178 * [backup-simplify]: Simplify 2 into 2 2.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.179 * [backup-simplify]: Simplify (+ 0 0) into 0 2.179 * [taylor]: Taking taylor expansion of 0 in im 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 2 into 2 2.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.180 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.181 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.181 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.181 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.181 * [taylor]: Taking taylor expansion of 1/2 in im 2.181 * [backup-simplify]: Simplify 1/2 into 1/2 2.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.181 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.181 * [taylor]: Taking taylor expansion of im in im 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.181 * [backup-simplify]: Simplify (* 1 1) into 1 2.182 * [backup-simplify]: Simplify (/ 1 1) into 1 2.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.183 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.183 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.184 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.185 * [backup-simplify]: Simplify (+ 0 0) into 0 2.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.185 * [backup-simplify]: Simplify (+ 0 0) into 0 2.186 * [taylor]: Taking taylor expansion of 0 in im 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.187 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify 0 into 0 2.187 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 2.188 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 2.188 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.188 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.188 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.188 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.188 * [taylor]: Taking taylor expansion of im in im 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.188 * [backup-simplify]: Simplify (* 1 1) into 1 2.188 * [backup-simplify]: Simplify (/ 1 1) into 1 2.188 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.188 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.188 * [taylor]: Taking taylor expansion of re in im 2.188 * [backup-simplify]: Simplify re into re 2.188 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.188 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.189 * [backup-simplify]: Simplify (+ 1 0) into 1 2.189 * [backup-simplify]: Simplify (sqrt 1) into 1 2.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.190 * [backup-simplify]: Simplify (+ 0 0) into 0 2.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.190 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.190 * [taylor]: Taking taylor expansion of re in im 2.190 * [backup-simplify]: Simplify re into re 2.190 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.190 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.191 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.191 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.191 * [taylor]: Taking taylor expansion of im in re 2.191 * [backup-simplify]: Simplify im into im 2.191 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.191 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.191 * [taylor]: Taking taylor expansion of re in re 2.191 * [backup-simplify]: Simplify 0 into 0 2.191 * [backup-simplify]: Simplify 1 into 1 2.191 * [backup-simplify]: Simplify (* 1 1) into 1 2.191 * [backup-simplify]: Simplify (/ 1 1) into 1 2.191 * [backup-simplify]: Simplify (+ 0 1) into 1 2.192 * [backup-simplify]: Simplify (sqrt 1) into 1 2.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.193 * [backup-simplify]: Simplify (+ 0 0) into 0 2.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.193 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.193 * [taylor]: Taking taylor expansion of re in re 2.193 * [backup-simplify]: Simplify 0 into 0 2.193 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (/ 1 1) into 1 2.193 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.193 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.193 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.193 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.193 * [taylor]: Taking taylor expansion of im in re 2.194 * [backup-simplify]: Simplify im into im 2.194 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.194 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.194 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.194 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.194 * [taylor]: Taking taylor expansion of re in re 2.194 * [backup-simplify]: Simplify 0 into 0 2.194 * [backup-simplify]: Simplify 1 into 1 2.194 * [backup-simplify]: Simplify (* 1 1) into 1 2.194 * [backup-simplify]: Simplify (/ 1 1) into 1 2.194 * [backup-simplify]: Simplify (+ 0 1) into 1 2.195 * [backup-simplify]: Simplify (sqrt 1) into 1 2.195 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.196 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.196 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.196 * [taylor]: Taking taylor expansion of re in re 2.196 * [backup-simplify]: Simplify 0 into 0 2.196 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify (/ 1 1) into 1 2.197 * [backup-simplify]: Simplify (- 1) into -1 2.197 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.197 * [taylor]: Taking taylor expansion of 0 in im 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.198 * [backup-simplify]: Simplify (- 0) into 0 2.198 * [backup-simplify]: Simplify (+ 0 0) into 0 2.198 * [taylor]: Taking taylor expansion of 0 in im 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify 0 into 0 2.198 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.199 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.200 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (- 0) into 0 2.201 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.201 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.201 * [taylor]: Taking taylor expansion of 1/2 in im 2.201 * [backup-simplify]: Simplify 1/2 into 1/2 2.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.201 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.201 * [taylor]: Taking taylor expansion of im in im 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify 1 into 1 2.201 * [backup-simplify]: Simplify (* 1 1) into 1 2.201 * [backup-simplify]: Simplify (/ 1 1) into 1 2.201 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.203 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.204 * [backup-simplify]: Simplify (+ 0 0) into 0 2.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.205 * [backup-simplify]: Simplify (- 0) into 0 2.205 * [backup-simplify]: Simplify (+ 0 0) into 0 2.205 * [taylor]: Taking taylor expansion of 0 in im 2.205 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.207 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 2.207 * [backup-simplify]: Simplify (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) into (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) 2.207 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 2.207 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 2.207 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.207 * [taylor]: Taking taylor expansion of im in re 2.207 * [backup-simplify]: Simplify im into im 2.207 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.207 * [taylor]: Taking taylor expansion of re in re 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 1 into 1 2.207 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.207 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.207 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.208 * [taylor]: Taking taylor expansion of re in re 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.208 * [taylor]: Taking taylor expansion of im in re 2.208 * [backup-simplify]: Simplify im into im 2.208 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.208 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.208 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.208 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.208 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.208 * [backup-simplify]: Simplify (+ 0 im) into im 2.208 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 2.208 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.208 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.208 * [taylor]: Taking taylor expansion of im in im 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.208 * [taylor]: Taking taylor expansion of re in im 2.208 * [backup-simplify]: Simplify re into re 2.209 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.209 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.209 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.209 * [taylor]: Taking taylor expansion of re in im 2.209 * [backup-simplify]: Simplify re into re 2.209 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.209 * [taylor]: Taking taylor expansion of im in im 2.209 * [backup-simplify]: Simplify 0 into 0 2.209 * [backup-simplify]: Simplify 1 into 1 2.209 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.209 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.209 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.209 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.209 * [backup-simplify]: Simplify (+ 0 0) into 0 2.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.209 * [backup-simplify]: Simplify (* 1 1) into 1 2.209 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.210 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 2.210 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.210 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.210 * [taylor]: Taking taylor expansion of im in im 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 1 into 1 2.210 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.210 * [taylor]: Taking taylor expansion of re in im 2.210 * [backup-simplify]: Simplify re into re 2.210 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.210 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.210 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.210 * [taylor]: Taking taylor expansion of re in im 2.210 * [backup-simplify]: Simplify re into re 2.210 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.210 * [taylor]: Taking taylor expansion of im in im 2.210 * [backup-simplify]: Simplify 0 into 0 2.210 * [backup-simplify]: Simplify 1 into 1 2.210 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.210 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.210 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.210 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.210 * [backup-simplify]: Simplify (+ 0 0) into 0 2.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.211 * [backup-simplify]: Simplify (* 1 1) into 1 2.211 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.211 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 2.211 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 2.211 * [taylor]: Taking taylor expansion of 1/2 in re 2.211 * [backup-simplify]: Simplify 1/2 into 1/2 2.211 * [taylor]: Taking taylor expansion of re in re 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.212 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.212 * [backup-simplify]: Simplify (+ 0 0) into 0 2.212 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 2.212 * [taylor]: Taking taylor expansion of 0 in re 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.214 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.214 * [backup-simplify]: Simplify (* 1 1) into 1 2.214 * [backup-simplify]: Simplify (+ 0 1) into 1 2.215 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.215 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 2.215 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 2.215 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 2.215 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 2.215 * [taylor]: Taking taylor expansion of 1/8 in re 2.215 * [backup-simplify]: Simplify 1/8 into 1/8 2.215 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 2.215 * [taylor]: Taking taylor expansion of (pow re 3) in re 2.215 * [taylor]: Taking taylor expansion of re in re 2.215 * [backup-simplify]: Simplify 0 into 0 2.215 * [backup-simplify]: Simplify 1 into 1 2.215 * [backup-simplify]: Simplify (* 1 1) into 1 2.215 * [backup-simplify]: Simplify (* 1 1) into 1 2.216 * [backup-simplify]: Simplify (/ 1 1) into 1 2.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.218 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.218 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.219 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.220 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.221 * [backup-simplify]: Simplify (- 0) into 0 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.221 * [backup-simplify]: Simplify 0 into 0 2.221 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify (/ (pow (/ 1 im) (/ 2 2)) (/ (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) (/ 1 im))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) 2.222 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 2.222 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 2.222 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 2.222 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.222 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.222 * [taylor]: Taking taylor expansion of re in re 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (/ 1 1) into 1 2.222 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.222 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.222 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.222 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.222 * [taylor]: Taking taylor expansion of im in re 2.222 * [backup-simplify]: Simplify im into im 2.222 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.222 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.223 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.223 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.223 * [taylor]: Taking taylor expansion of re in re 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 1 into 1 2.223 * [backup-simplify]: Simplify (* 1 1) into 1 2.223 * [backup-simplify]: Simplify (/ 1 1) into 1 2.223 * [backup-simplify]: Simplify (+ 0 1) into 1 2.223 * [backup-simplify]: Simplify (sqrt 1) into 1 2.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify (+ 0 0) into 0 2.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.225 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.225 * [taylor]: Taking taylor expansion of im in re 2.225 * [backup-simplify]: Simplify im into im 2.225 * [backup-simplify]: Simplify (+ 1 1) into 2 2.225 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.225 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 2.225 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 2.225 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 2.225 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 2.225 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.225 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.225 * [taylor]: Taking taylor expansion of re in im 2.226 * [backup-simplify]: Simplify re into re 2.226 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.226 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.226 * [taylor]: Taking taylor expansion of im in im 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify 1 into 1 2.226 * [backup-simplify]: Simplify (* 1 1) into 1 2.226 * [backup-simplify]: Simplify (/ 1 1) into 1 2.226 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.226 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.226 * [taylor]: Taking taylor expansion of re in im 2.226 * [backup-simplify]: Simplify re into re 2.226 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.226 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.227 * [backup-simplify]: Simplify (+ 1 0) into 1 2.227 * [backup-simplify]: Simplify (sqrt 1) into 1 2.227 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.228 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.228 * [taylor]: Taking taylor expansion of im in im 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify 1 into 1 2.229 * [backup-simplify]: Simplify (+ 0 1) into 1 2.229 * [backup-simplify]: Simplify (* 1 1) into 1 2.229 * [backup-simplify]: Simplify (* 1 1) into 1 2.229 * [backup-simplify]: Simplify (/ 1 1) into 1 2.229 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 2.229 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 2.229 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.229 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.229 * [taylor]: Taking taylor expansion of re in im 2.229 * [backup-simplify]: Simplify re into re 2.229 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.229 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.229 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.229 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.229 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.229 * [taylor]: Taking taylor expansion of im in im 2.229 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify 1 into 1 2.230 * [backup-simplify]: Simplify (* 1 1) into 1 2.230 * [backup-simplify]: Simplify (/ 1 1) into 1 2.230 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.230 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.230 * [taylor]: Taking taylor expansion of re in im 2.230 * [backup-simplify]: Simplify re into re 2.230 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.230 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.230 * [backup-simplify]: Simplify (+ 1 0) into 1 2.231 * [backup-simplify]: Simplify (sqrt 1) into 1 2.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.232 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.232 * [taylor]: Taking taylor expansion of im in im 2.232 * [backup-simplify]: Simplify 0 into 0 2.232 * [backup-simplify]: Simplify 1 into 1 2.232 * [backup-simplify]: Simplify (+ 0 1) into 1 2.233 * [backup-simplify]: Simplify (* 1 1) into 1 2.233 * [backup-simplify]: Simplify (* 1 1) into 1 2.233 * [backup-simplify]: Simplify (/ 1 1) into 1 2.233 * [taylor]: Taking taylor expansion of 1 in re 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.234 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 2.234 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 2.234 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 2.234 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.234 * [taylor]: Taking taylor expansion of re in re 2.234 * [backup-simplify]: Simplify 0 into 0 2.234 * [backup-simplify]: Simplify 1 into 1 2.234 * [backup-simplify]: Simplify (/ 1 1) into 1 2.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (- 0) into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 0 into 0 2.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.236 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.243 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.243 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 2.243 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 2.244 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.244 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.244 * [taylor]: Taking taylor expansion of 1/2 in re 2.244 * [backup-simplify]: Simplify 1/2 into 1/2 2.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.244 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.244 * [taylor]: Taking taylor expansion of re in re 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [backup-simplify]: Simplify (* 1 1) into 1 2.244 * [backup-simplify]: Simplify (/ 1 1) into 1 2.245 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.248 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (- 0) into 0 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify (/ (pow (/ 1 (- im)) (/ 2 2)) (/ (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) (/ 1 (- im)))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) 2.249 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 2.249 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 2.249 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 2.249 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.249 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.250 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.250 * [taylor]: Taking taylor expansion of im in re 2.250 * [backup-simplify]: Simplify im into im 2.250 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.250 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.250 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.250 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.250 * [taylor]: Taking taylor expansion of re in re 2.250 * [backup-simplify]: Simplify 0 into 0 2.250 * [backup-simplify]: Simplify 1 into 1 2.250 * [backup-simplify]: Simplify (* 1 1) into 1 2.250 * [backup-simplify]: Simplify (/ 1 1) into 1 2.250 * [backup-simplify]: Simplify (+ 0 1) into 1 2.251 * [backup-simplify]: Simplify (sqrt 1) into 1 2.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.252 * [backup-simplify]: Simplify (+ 0 0) into 0 2.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.252 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.252 * [taylor]: Taking taylor expansion of re in re 2.252 * [backup-simplify]: Simplify 0 into 0 2.252 * [backup-simplify]: Simplify 1 into 1 2.252 * [backup-simplify]: Simplify (/ 1 1) into 1 2.252 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.252 * [taylor]: Taking taylor expansion of im in re 2.252 * [backup-simplify]: Simplify im into im 2.253 * [backup-simplify]: Simplify (- 1) into -1 2.253 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.253 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.253 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0 2.253 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.254 * [backup-simplify]: Simplify (- 0) into 0 2.254 * [backup-simplify]: Simplify (+ 0 0) into 0 2.254 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0 2.255 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.256 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.257 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (- 0) into 0 2.257 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.258 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2 2.258 * [backup-simplify]: Simplify (/ 1 1/2) into 2 2.258 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 2.258 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 2.258 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.258 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.258 * [taylor]: Taking taylor expansion of im in im 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify 1 into 1 2.259 * [backup-simplify]: Simplify (* 1 1) into 1 2.259 * [backup-simplify]: Simplify (/ 1 1) into 1 2.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.259 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.259 * [taylor]: Taking taylor expansion of re in im 2.259 * [backup-simplify]: Simplify re into re 2.259 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.259 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.259 * [backup-simplify]: Simplify (+ 1 0) into 1 2.260 * [backup-simplify]: Simplify (sqrt 1) into 1 2.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.261 * [backup-simplify]: Simplify (+ 0 0) into 0 2.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.261 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.261 * [taylor]: Taking taylor expansion of re in im 2.261 * [backup-simplify]: Simplify re into re 2.261 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.261 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.261 * [taylor]: Taking taylor expansion of im in im 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [backup-simplify]: Simplify (+ 1 0) into 1 2.262 * [backup-simplify]: Simplify (* 1 1) into 1 2.262 * [backup-simplify]: Simplify (* 1 1) into 1 2.262 * [backup-simplify]: Simplify (/ 1 1) into 1 2.262 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 2.262 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 2.262 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.262 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.262 * [taylor]: Taking taylor expansion of im in im 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 1 into 1 2.262 * [backup-simplify]: Simplify (* 1 1) into 1 2.263 * [backup-simplify]: Simplify (/ 1 1) into 1 2.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.263 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.263 * [taylor]: Taking taylor expansion of re in im 2.263 * [backup-simplify]: Simplify re into re 2.263 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.263 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.263 * [backup-simplify]: Simplify (+ 1 0) into 1 2.263 * [backup-simplify]: Simplify (sqrt 1) into 1 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.264 * [backup-simplify]: Simplify (+ 0 0) into 0 2.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.265 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.265 * [taylor]: Taking taylor expansion of re in im 2.265 * [backup-simplify]: Simplify re into re 2.265 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.265 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.265 * [taylor]: Taking taylor expansion of im in im 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (+ 1 0) into 1 2.265 * [backup-simplify]: Simplify (* 1 1) into 1 2.266 * [backup-simplify]: Simplify (* 1 1) into 1 2.266 * [backup-simplify]: Simplify (/ 1 1) into 1 2.266 * [taylor]: Taking taylor expansion of 1 in re 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.266 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 2.266 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 2.267 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re)) 2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 2.267 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.267 * [taylor]: Taking taylor expansion of re in re 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [backup-simplify]: Simplify (/ 1 1) into 1 2.267 * [backup-simplify]: Simplify 1 into 1 2.267 * [backup-simplify]: Simplify 1 into 1 2.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.269 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.270 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.270 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.270 * [backup-simplify]: Simplify (- 0) into 0 2.270 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 2.270 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 2.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.271 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.271 * [taylor]: Taking taylor expansion of 1/2 in re 2.271 * [backup-simplify]: Simplify 1/2 into 1/2 2.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.271 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.271 * [taylor]: Taking taylor expansion of re in re 2.271 * [backup-simplify]: Simplify 0 into 0 2.271 * [backup-simplify]: Simplify 1 into 1 2.271 * [backup-simplify]: Simplify (* 1 1) into 1 2.271 * [backup-simplify]: Simplify (/ 1 1) into 1 2.272 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.272 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.275 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.275 * [backup-simplify]: Simplify (+ 0 0) into 0 2.275 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 2.276 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.276 * [backup-simplify]: Simplify (- 0) into 0 2.276 * [backup-simplify]: Simplify (+ 0 0) into 0 2.277 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0 2.277 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 2.277 * [taylor]: Taking taylor expansion of 0 in re 2.277 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 2.280 * * * [progress]: simplifying candidates 2.283 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))))) (exp (sqrt (* 2.0 (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))))) (* (cbrt (sqrt (* 2.0 (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))))) (cbrt (sqrt (* 2.0 (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))))) (cbrt (sqrt (* 2.0 (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))))) (* (* (sqrt (* 2.0 (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))) (sqrt (* 2.0 (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))))) (sqrt (* 2.0 (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))))) (sqrt 2.0) (sqrt (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (sqrt (* 2.0 (pow im (/ 2 2)))) (sqrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))))) (sqrt (sqrt (* 2.0 (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (- (* (log im) (/ 2 2)) (- (log (+ (sqrt (+ (* re re) (* im im))) re)) (log im))) (- (* (log im) (/ 2 2)) (log (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (- (* (log im) (/ 2 2)) (- (log (+ (sqrt (+ (* re re) (* im im))) re)) (log im))) (- (* (log im) (/ 2 2)) (log (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (- (log (pow im (/ 2 2))) (- (log (+ (sqrt (+ (* re re) (* im im))) re)) (log im))) (- (log (pow im (/ 2 2))) (log (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (log (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (exp (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (/ (* (* (pow im (/ 2 2)) (pow im (/ 2 2))) (pow im (/ 2 2))) (/ (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (* (* im im) im))) (/ (* (* (pow im (/ 2 2)) (pow im (/ 2 2))) (pow im (/ 2 2))) (* (* (/ (+ (sqrt (+ (* re re) (* im im))) re) im) (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (* (cbrt (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (cbrt (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))) (cbrt (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (* (* (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (sqrt (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (sqrt (/ (pow im (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (- (pow im (/ 2 2))) (- (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (* (cbrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (cbrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))) (/ (pow (cbrt im) (/ 2 2)) (cbrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (sqrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (/ (pow (cbrt im) (/ 2 2)) (sqrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (/ (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt im) (cbrt im)))) (/ (pow (cbrt im) (/ 2 2)) (/ (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt im))) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (/ (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt im))) (/ (pow (cbrt im) (/ 2 2)) (/ (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt im))) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (/ (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) 1)) (/ (pow (cbrt im) (/ 2 2)) (/ (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) im)) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt im) (cbrt im)))) (/ (pow (cbrt im) (/ 2 2)) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt im))) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt im))) (/ (pow (cbrt im) (/ 2 2)) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt im))) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) 1)) (/ (pow (cbrt im) (/ 2 2)) (/ (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) im)) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (/ 1 (* (cbrt im) (cbrt im)))) (/ (pow (cbrt im) (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt im))) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (/ 1 (sqrt im))) (/ (pow (cbrt im) (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (sqrt im))) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (/ 1 1)) (/ (pow (cbrt im) (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (/ 1 (* (cbrt im) (cbrt im)))) (/ (pow (cbrt im) (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt im))) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (/ 1 (sqrt im))) (/ (pow (cbrt im) (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (sqrt im))) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (/ 1 1)) (/ (pow (cbrt im) (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) 1) (/ (pow (cbrt im) (/ 2 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (/ (pow (* (cbrt im) (cbrt im)) (/ 2 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (cbrt im) (/ 2 2)) (/ 1 im)) (/ (pow (sqrt im) (/ 2 2)) (* (cbrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im)) (cbrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im)))) (/ (pow (sqrt im) (/ 2 2)) (cbrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (/ (pow (sqrt im) (/ 2 2)) (sqrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (/ (pow (sqrt im) (/ 2 2)) (sqrt (/ (+ (sqrt (+ (* re re) (* im im))) re) im))) (/ (pow (sqrt im) (/ 2 2)) (/ (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt im) (cbrt im)))) (/ (pow (sqrt im) (/ 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(/ 2 2) 2)) (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (cbrt h1))) (/ (pow h1 (/ (/ 2 2) 2)) (/ 1 (sqrt h1))) (/ (pow h1 (/ (/ 2 2) 2)) (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (sqrt h1))) (/ (pow h1 (/ (/ 2 2) 2)) (/ 1 1)) (/ (pow h1 (/ (/ 2 2) 2)) (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1)) (/ (pow h1 (/ (/ 2 2) 2)) 1) (/ (pow h1 (/ (/ 2 2) 2)) (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1)) (/ (pow h1 (/ (/ 2 2) 2)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (pow h1 (/ (/ 2 2) 2)) (/ 1 h1)) (/ 1 (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1)) (/ (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1) (pow h1 (/ 2 2))) (/ (pow h1 (/ 2 2)) (* (cbrt (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1)) (cbrt (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1)))) (/ (pow h1 (/ 2 2)) (sqrt (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1))) (/ (pow h1 (/ 2 2)) (/ (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (* (cbrt h1) (cbrt h1)))) (/ (pow h1 (/ 2 2)) (/ (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (sqrt h1))) (/ (pow h1 (/ 2 2)) (/ (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) 1)) (/ (pow h1 (/ 2 2)) (/ (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (cbrt h1) (cbrt h1)))) (/ (pow h1 (/ 2 2)) (/ (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt h1))) (/ (pow h1 (/ 2 2)) (/ (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) 1)) (/ (pow h1 (/ 2 2)) (/ 1 (* (cbrt h1) (cbrt h1)))) (/ (pow h1 (/ 2 2)) (/ 1 (sqrt h1))) (/ (pow h1 (/ 2 2)) (/ 1 1)) (/ (pow h1 (/ 2 2)) (/ 1 (* (cbrt h1) (cbrt h1)))) (/ (pow h1 (/ 2 2)) (/ 1 (sqrt h1))) (/ (pow h1 (/ 2 2)) (/ 1 1)) (/ (pow h1 (/ 2 2)) 1) (/ (pow h1 (/ 2 2)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1) (pow (cbrt h1) (/ 2 2))) (/ (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1) (pow (sqrt h1) (/ 2 2))) (/ (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1) (pow h1 (/ 2 2))) (/ (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1) (cbrt (pow h1 (/ 2 2)))) (/ (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1) (sqrt (pow h1 (/ 2 2)))) (/ (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1) (pow h1 (/ 2 2))) (/ (/ (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1) (pow h1 (/ (/ 2 2) 2))) (/ (pow h1 (/ 2 2)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) h1 h0 (* -1 h0) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) (* h1 h0)))) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) h1))) (- (* h3 (/ (* (sqrt h2) (pow h1 3)) (sqrt 1/2)))))))) (- (+ (* h3 (/ (sqrt h2) (pow h1 2))) (- (+ (* h3 (/ (sqrt h2) h1)) (- (* h3 (sqrt h2))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (* (sqrt h2) h0) h1)) (- (* h3 (/ (* (sqrt h2) h0) (pow h1 2)))))))) (+ h0 h1) (* 2 h0) 0 0 0 (- (+ h0 h1)) 2.298 * * [simplify]: iteration 0 : 788 enodes (cost 2657 ) 2.312 * * [simplify]: iteration 1 : 3660 enodes (cost 2402 ) 2.406 * * [simplify]: iteration 2 : 5001 enodes (cost 2402 ) 2.417 * * * [progress]: adding candidates to table 2.794 * [progress]: [Phase 3 of 3] Extracting. 2.794 * * [regime]: Finding splitpoints for: (# # # # # # #) 2.796 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re) 2.796 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # #) 2.831 * * * * [regimes]: Trying to branch on (* im im) from (# #) 2.850 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # #) 2.888 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # #) 2.926 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # #) 2.967 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # #) 3.010 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 3.061 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 3.117 * * * [regime]: Found split indices: #