9.715 * [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. 0.028 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.029 * [simplify]: Sending expressions to egg_math: (* h3 (sqrt (* h2 (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) 0.030 * * [simplify]: iteration 0 : 24 enodes (cost 8 ) 0.032 * * [simplify]: iteration 1 : 30 enodes (cost 8 ) 0.033 * * [simplify]: iteration 2 : 33 enodes (cost 8 ) 0.034 * * [simplify]: iteration 3 : 33 enodes (cost 8 ) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.046 * * * [progress]: generating rewritten candidates 0.046 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.054 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.086 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.113 * * * [progress]: generating series expansions 0.113 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.113 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.113 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.113 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.113 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.113 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.113 * [taylor]: Taking taylor expansion of re in im 0.113 * [backup-simplify]: Simplify re into re 0.113 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.113 * [taylor]: Taking taylor expansion of im in im 0.113 * [backup-simplify]: Simplify 0 into 0 0.113 * [backup-simplify]: Simplify 1 into 1 0.113 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.114 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.114 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.114 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.114 * [backup-simplify]: Simplify (+ 0 0) into 0 0.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.114 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.114 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.114 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.114 * [taylor]: Taking taylor expansion of re in re 0.114 * [backup-simplify]: Simplify 0 into 0 0.114 * [backup-simplify]: Simplify 1 into 1 0.114 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.114 * [taylor]: Taking taylor expansion of im in re 0.114 * [backup-simplify]: Simplify im into im 0.114 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.115 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.115 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.115 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.115 * [backup-simplify]: Simplify (+ 0 0) into 0 0.115 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.115 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.115 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.115 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.115 * [taylor]: Taking taylor expansion of re in re 0.115 * [backup-simplify]: Simplify 0 into 0 0.115 * [backup-simplify]: Simplify 1 into 1 0.115 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.115 * [taylor]: Taking taylor expansion of im in re 0.115 * [backup-simplify]: Simplify im into im 0.115 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.115 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.115 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.115 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.116 * [backup-simplify]: Simplify (+ 0 0) into 0 0.116 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.116 * [taylor]: Taking taylor expansion of im in im 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [taylor]: Taking taylor expansion of 0 in im 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 0 into 0 0.116 * [backup-simplify]: Simplify 1 into 1 0.116 * [backup-simplify]: Simplify (* 1 1) into 1 0.116 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.117 * [backup-simplify]: Simplify (+ 1 0) into 1 0.117 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.117 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.117 * [taylor]: Taking taylor expansion of 1/2 in im 0.117 * [backup-simplify]: Simplify 1/2 into 1/2 0.117 * [taylor]: Taking taylor expansion of im in im 0.117 * [backup-simplify]: Simplify 0 into 0 0.117 * [backup-simplify]: Simplify 1 into 1 0.118 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.118 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify 0 into 0 0.118 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.119 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.119 * [backup-simplify]: Simplify (+ 0 0) into 0 0.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.119 * [taylor]: Taking taylor expansion of 0 in im 0.119 * [backup-simplify]: Simplify 0 into 0 0.119 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify 0 into 0 0.120 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.120 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.120 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.120 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.120 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.120 * [taylor]: Taking taylor expansion of im in im 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 0.121 * [backup-simplify]: Simplify (/ 1 1) into 1 0.121 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.121 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.121 * [taylor]: Taking taylor expansion of re in im 0.121 * [backup-simplify]: Simplify re into re 0.121 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.121 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.121 * [backup-simplify]: Simplify (+ 1 0) into 1 0.121 * [backup-simplify]: Simplify (sqrt 1) into 1 0.122 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.122 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.123 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.123 * [taylor]: Taking taylor expansion of im in re 0.123 * [backup-simplify]: Simplify im into im 0.123 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.123 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.123 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.123 * [taylor]: Taking taylor expansion of re in re 0.123 * [backup-simplify]: Simplify 0 into 0 0.123 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify (* 1 1) into 1 0.124 * [backup-simplify]: Simplify (/ 1 1) into 1 0.124 * [backup-simplify]: Simplify (+ 0 1) into 1 0.124 * [backup-simplify]: Simplify (sqrt 1) into 1 0.125 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.125 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.125 * [backup-simplify]: Simplify (+ 0 0) into 0 0.126 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.126 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.126 * [taylor]: Taking taylor expansion of im in re 0.126 * [backup-simplify]: Simplify im into im 0.126 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.126 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.126 * [taylor]: Taking taylor expansion of re in re 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (* 1 1) into 1 0.126 * [backup-simplify]: Simplify (/ 1 1) into 1 0.127 * [backup-simplify]: Simplify (+ 0 1) into 1 0.127 * [backup-simplify]: Simplify (sqrt 1) into 1 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.128 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.128 * [taylor]: Taking taylor expansion of 1 in im 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [taylor]: Taking taylor expansion of 0 in im 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.129 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.130 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.130 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.130 * [taylor]: Taking taylor expansion of 1/2 in im 0.130 * [backup-simplify]: Simplify 1/2 into 1/2 0.130 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.130 * [taylor]: Taking taylor expansion of im in im 0.130 * [backup-simplify]: Simplify 0 into 0 0.130 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (* 1 1) into 1 0.131 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.134 * [taylor]: Taking taylor expansion of 0 in im 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.135 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.135 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.135 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.135 * [taylor]: Taking taylor expansion of im in im 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (/ 1 1) into 1 0.136 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.136 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.136 * [taylor]: Taking taylor expansion of re in im 0.136 * [backup-simplify]: Simplify re into re 0.136 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.136 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.136 * [backup-simplify]: Simplify (+ 1 0) into 1 0.136 * [backup-simplify]: Simplify (sqrt 1) into 1 0.137 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.137 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.137 * [backup-simplify]: Simplify (+ 0 0) into 0 0.138 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.138 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.138 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.138 * [taylor]: Taking taylor expansion of im in re 0.138 * [backup-simplify]: Simplify im into im 0.138 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.138 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.138 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.138 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.138 * [taylor]: Taking taylor expansion of re in re 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (* 1 1) into 1 0.138 * [backup-simplify]: Simplify (/ 1 1) into 1 0.139 * [backup-simplify]: Simplify (+ 0 1) into 1 0.139 * [backup-simplify]: Simplify (sqrt 1) into 1 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.140 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.140 * [taylor]: Taking taylor expansion of im in re 0.140 * [backup-simplify]: Simplify im into im 0.140 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.140 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.140 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.140 * [taylor]: Taking taylor expansion of re in re 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [backup-simplify]: Simplify (+ 0 1) into 1 0.141 * [backup-simplify]: Simplify (sqrt 1) into 1 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.143 * [taylor]: Taking taylor expansion of 1 in im 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [taylor]: Taking taylor expansion of 0 in im 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.143 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.144 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.144 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.145 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.145 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.145 * [taylor]: Taking taylor expansion of 1/2 in im 0.145 * [backup-simplify]: Simplify 1/2 into 1/2 0.145 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.145 * [taylor]: Taking taylor expansion of im in im 0.145 * [backup-simplify]: Simplify 0 into 0 0.145 * [backup-simplify]: Simplify 1 into 1 0.145 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.146 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.146 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.146 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.148 * [taylor]: Taking taylor expansion of 0 in im 0.148 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.149 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.149 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.149 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.149 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.149 * [taylor]: Taking taylor expansion of re in im 0.149 * [backup-simplify]: Simplify re into re 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.150 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.150 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.150 * [taylor]: Taking taylor expansion of re in im 0.150 * [backup-simplify]: Simplify re into re 0.150 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.150 * [taylor]: Taking taylor expansion of im in im 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.150 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.150 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.150 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.150 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.150 * [taylor]: Taking taylor expansion of re in re 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.150 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.150 * [taylor]: Taking taylor expansion of re in re 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.150 * [taylor]: Taking taylor expansion of im in re 0.150 * [backup-simplify]: Simplify im into im 0.150 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.151 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.151 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.151 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.151 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.151 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.151 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.151 * [taylor]: Taking taylor expansion of re in re 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.151 * [taylor]: Taking taylor expansion of im in re 0.151 * [backup-simplify]: Simplify im into im 0.151 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.151 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.151 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.151 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.152 * [backup-simplify]: Simplify (+ 0 0) into 0 0.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.152 * [backup-simplify]: Simplify (+ 0 im) into im 0.152 * [taylor]: Taking taylor expansion of im in im 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [taylor]: Taking taylor expansion of 1 in im 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.153 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.153 * [backup-simplify]: Simplify (+ 1 0) into 1 0.153 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.153 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.154 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.154 * [taylor]: Taking taylor expansion of 1/2 in im 0.154 * [backup-simplify]: Simplify 1/2 into 1/2 0.154 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.154 * [taylor]: Taking taylor expansion of im in im 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.154 * [backup-simplify]: Simplify (/ 1 1) into 1 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.155 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.156 * [taylor]: Taking taylor expansion of 0 in im 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.157 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.157 * [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))))) 0.157 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.157 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.157 * [taylor]: Taking taylor expansion of re in im 0.157 * [backup-simplify]: Simplify re into re 0.158 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.158 * [taylor]: Taking taylor expansion of im in im 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.158 * [taylor]: Taking taylor expansion of re in im 0.158 * [backup-simplify]: Simplify re into re 0.158 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.158 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.159 * [backup-simplify]: Simplify (+ 1 0) into 1 0.159 * [backup-simplify]: Simplify (sqrt 1) into 1 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.160 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.160 * [taylor]: Taking taylor expansion of re in re 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.161 * [backup-simplify]: Simplify im into im 0.161 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.161 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [backup-simplify]: Simplify (+ 0 1) into 1 0.162 * [backup-simplify]: Simplify (sqrt 1) into 1 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.162 * [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) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.163 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.163 * [taylor]: Taking taylor expansion of re in re 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.163 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.163 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.163 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.163 * [taylor]: Taking taylor expansion of im in re 0.163 * [backup-simplify]: Simplify im into im 0.164 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.164 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.164 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) 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 1) into 1 0.164 * [backup-simplify]: Simplify (+ 0 1) into 1 0.165 * [backup-simplify]: Simplify (sqrt 1) into 1 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.166 * [backup-simplify]: Simplify (+ 1 1) into 2 0.166 * [taylor]: Taking taylor expansion of 2 in im 0.166 * [backup-simplify]: Simplify 2 into 2 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.167 * [taylor]: Taking taylor expansion of 0 in im 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 2 into 2 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.174 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.174 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.174 * [taylor]: Taking taylor expansion of 1/2 in im 0.174 * [backup-simplify]: Simplify 1/2 into 1/2 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.177 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.177 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [taylor]: Taking taylor expansion of 0 in im 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.181 * [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)) 0.181 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.181 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.181 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.181 * [taylor]: Taking taylor expansion of im in im 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (* 1 1) into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.181 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.181 * [taylor]: Taking taylor expansion of re in im 0.181 * [backup-simplify]: Simplify re into re 0.181 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.182 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.182 * [backup-simplify]: Simplify (+ 1 0) into 1 0.182 * [backup-simplify]: Simplify (sqrt 1) into 1 0.182 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.183 * [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 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.183 * [taylor]: Taking taylor expansion of re in im 0.183 * [backup-simplify]: Simplify re into re 0.183 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.183 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.184 * [taylor]: Taking taylor expansion of im in re 0.184 * [backup-simplify]: Simplify im into im 0.184 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.184 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.184 * [taylor]: Taking taylor expansion of re in re 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [backup-simplify]: Simplify (+ 0 1) into 1 0.185 * [backup-simplify]: Simplify (sqrt 1) into 1 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.185 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.186 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.186 * [taylor]: Taking taylor expansion of re in re 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.186 * [backup-simplify]: Simplify (/ 1 1) into 1 0.186 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.186 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.186 * [taylor]: Taking taylor expansion of im in re 0.186 * [backup-simplify]: Simplify im into im 0.187 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.187 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.187 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.187 * [taylor]: Taking taylor expansion of re in re 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 (+ 0 1) into 1 0.188 * [backup-simplify]: Simplify (sqrt 1) into 1 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.189 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.189 * [taylor]: Taking taylor expansion of re in re 0.189 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [backup-simplify]: Simplify (- 1) into -1 0.190 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.190 * [taylor]: Taking taylor expansion of 0 in im 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (- 0) 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 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.193 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (- 0) into 0 0.193 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.193 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.193 * [taylor]: Taking taylor expansion of 1/2 in im 0.193 * [backup-simplify]: Simplify 1/2 into 1/2 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.193 * [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 (* 1 1) into 1 0.194 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.198 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (- 0) 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.200 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) 0.200 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in (re im) around 0 0.200 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.200 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.200 * [taylor]: Taking taylor expansion of 2.0 in im 0.200 * [backup-simplify]: Simplify 2.0 into 2.0 0.200 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.201 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.201 * [taylor]: Taking taylor expansion of re in im 0.201 * [backup-simplify]: Simplify re into re 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.201 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.201 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.201 * [taylor]: Taking taylor expansion of re in im 0.201 * [backup-simplify]: Simplify re into re 0.201 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.201 * [taylor]: Taking taylor expansion of im in im 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.201 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.201 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.201 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.201 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.201 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.202 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.202 * [taylor]: Taking taylor expansion of 2.0 in re 0.202 * [backup-simplify]: Simplify 2.0 into 2.0 0.202 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.202 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.203 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.203 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.203 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.203 * [backup-simplify]: Simplify im into im 0.203 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.203 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.203 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.203 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 im) into im 0.203 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.204 * [backup-simplify]: Simplify (+ 1 0) into 1 0.204 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.204 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.204 * [taylor]: Taking taylor expansion of 2.0 in re 0.204 * [backup-simplify]: Simplify 2.0 into 2.0 0.204 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.204 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.204 * [taylor]: Taking taylor expansion of re in re 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.205 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.205 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.205 * [taylor]: Taking taylor expansion of re in re 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.205 * [taylor]: Taking taylor expansion of im in re 0.205 * [backup-simplify]: Simplify im into im 0.205 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.205 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.205 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.205 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 im) into im 0.205 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.206 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.206 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.206 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.206 * [taylor]: Taking taylor expansion of 2.0 in im 0.206 * [backup-simplify]: Simplify 2.0 into 2.0 0.206 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.207 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (sqrt 0) into 0 0.208 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.208 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.209 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.209 * [taylor]: Taking taylor expansion of 1/2 in im 0.209 * [backup-simplify]: Simplify 1/2 into 1/2 0.209 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.209 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.209 * [taylor]: Taking taylor expansion of 2.0 in im 0.209 * [backup-simplify]: Simplify 2.0 into 2.0 0.209 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.209 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.209 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.209 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.209 * [taylor]: Taking taylor expansion of im in im 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (sqrt 0) into 0 0.211 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.212 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.212 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.214 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.215 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.216 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.217 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.217 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.218 * [backup-simplify]: Simplify (+ 1 0) into 1 0.218 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.218 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.219 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 0.219 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.220 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* 1/8 (sqrt (/ 1 (pow im 3))))) (+ (* 0 (* 1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 0.220 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.220 * [taylor]: Taking taylor expansion of 1/8 in im 0.220 * [backup-simplify]: Simplify 1/8 into 1/8 0.220 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.220 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.220 * [taylor]: Taking taylor expansion of 2.0 in im 0.220 * [backup-simplify]: Simplify 2.0 into 2.0 0.220 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.221 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.221 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.221 * [taylor]: Taking taylor expansion of im in im 0.221 * [backup-simplify]: Simplify 0 into 0 0.221 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify (/ 1 1) into 1 0.222 * [backup-simplify]: Simplify (sqrt 0) into 0 0.222 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.225 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.226 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.227 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.228 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.229 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.231 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.232 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.235 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 0.235 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 0.235 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.235 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.235 * [taylor]: Taking taylor expansion of 2.0 in im 0.235 * [backup-simplify]: Simplify 2.0 into 2.0 0.236 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.236 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.236 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.236 * [taylor]: Taking taylor expansion of re in im 0.236 * [backup-simplify]: Simplify re into re 0.236 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.236 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.236 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.236 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.236 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.236 * [taylor]: Taking taylor expansion of im in im 0.236 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify 1 into 1 0.237 * [backup-simplify]: Simplify (* 1 1) into 1 0.237 * [backup-simplify]: Simplify (/ 1 1) into 1 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.237 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.237 * [taylor]: Taking taylor expansion of re in im 0.237 * [backup-simplify]: Simplify re into re 0.237 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.237 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.237 * [backup-simplify]: Simplify (+ 1 0) into 1 0.237 * [backup-simplify]: Simplify (sqrt 1) into 1 0.238 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.238 * [backup-simplify]: Simplify (+ 0 0) into 0 0.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.239 * [backup-simplify]: Simplify (+ 0 1) into 1 0.239 * [backup-simplify]: Simplify (sqrt 0) into 0 0.240 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.240 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.240 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.240 * [taylor]: Taking taylor expansion of 2.0 in re 0.240 * [backup-simplify]: Simplify 2.0 into 2.0 0.240 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.241 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.241 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.241 * [taylor]: Taking taylor expansion of re in re 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.241 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.241 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.241 * [taylor]: Taking taylor expansion of im in re 0.241 * [backup-simplify]: Simplify im into im 0.241 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.241 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.241 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.241 * [taylor]: Taking taylor expansion of re in re 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.242 * [backup-simplify]: Simplify (* 1 1) into 1 0.242 * [backup-simplify]: Simplify (/ 1 1) into 1 0.242 * [backup-simplify]: Simplify (+ 0 1) into 1 0.242 * [backup-simplify]: Simplify (sqrt 1) into 1 0.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.244 * [backup-simplify]: Simplify (+ 1 1) into 2 0.244 * [backup-simplify]: Simplify (sqrt 0) into 0 0.245 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.245 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.245 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.245 * [taylor]: Taking taylor expansion of 2.0 in re 0.245 * [backup-simplify]: Simplify 2.0 into 2.0 0.245 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.246 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.246 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.246 * [taylor]: Taking taylor expansion of im in re 0.246 * [backup-simplify]: Simplify im into im 0.246 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.246 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.246 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.246 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (* 1 1) into 1 0.247 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [backup-simplify]: Simplify (+ 0 1) into 1 0.247 * [backup-simplify]: Simplify (sqrt 1) into 1 0.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.249 * [backup-simplify]: Simplify (+ 1 1) into 2 0.249 * [backup-simplify]: Simplify (sqrt 0) into 0 0.250 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.250 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.250 * [taylor]: Taking taylor expansion of 0 in im 0.250 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.251 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.251 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.251 * [taylor]: Taking taylor expansion of +nan.0 in im 0.251 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.251 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.251 * [taylor]: Taking taylor expansion of 2.0 in im 0.251 * [backup-simplify]: Simplify 2.0 into 2.0 0.251 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.252 * [backup-simplify]: Simplify 0 into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.252 * [backup-simplify]: Simplify (+ 0 0) into 0 0.254 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.255 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.256 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.256 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.256 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.256 * [taylor]: Taking taylor expansion of +nan.0 in im 0.256 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.256 * [taylor]: Taking taylor expansion of 2.0 in im 0.256 * [backup-simplify]: Simplify 2.0 into 2.0 0.256 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.257 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.258 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.259 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.259 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.261 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.261 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.262 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.263 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.263 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.270 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.270 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.270 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.270 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.270 * [taylor]: Taking taylor expansion of +nan.0 in im 0.270 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.270 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.270 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.270 * [taylor]: Taking taylor expansion of 2.0 in im 0.270 * [backup-simplify]: Simplify 2.0 into 2.0 0.271 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.271 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.271 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.271 * [taylor]: Taking taylor expansion of im in im 0.271 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.272 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.272 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.272 * [taylor]: Taking taylor expansion of +nan.0 in im 0.272 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.272 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.272 * [taylor]: Taking taylor expansion of 2.0 in im 0.272 * [backup-simplify]: Simplify 2.0 into 2.0 0.272 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.274 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.276 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.277 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.277 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.277 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.278 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.282 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.283 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.283 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.283 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.283 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.283 * [taylor]: Taking taylor expansion of +nan.0 in im 0.283 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.283 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.283 * [taylor]: Taking taylor expansion of 2.0 in im 0.284 * [backup-simplify]: Simplify 2.0 into 2.0 0.284 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.284 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.285 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.285 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.285 * [taylor]: Taking taylor expansion of +nan.0 in im 0.285 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.285 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.285 * [taylor]: Taking taylor expansion of 2.0 in im 0.285 * [backup-simplify]: Simplify 2.0 into 2.0 0.285 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.287 * [backup-simplify]: Simplify (+ 0 0) into 0 0.288 * [backup-simplify]: Simplify (- 0) into 0 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.291 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.291 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.293 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.294 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.295 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.297 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.298 * [backup-simplify]: Simplify (sqrt (* 2.0 (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 0.298 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.298 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.298 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.298 * [taylor]: Taking taylor expansion of 2.0 in im 0.298 * [backup-simplify]: Simplify 2.0 into 2.0 0.298 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.299 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.299 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.299 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.299 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.299 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.299 * [taylor]: Taking taylor expansion of im in im 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.299 * [backup-simplify]: Simplify (* 1 1) into 1 0.299 * [backup-simplify]: Simplify (/ 1 1) into 1 0.299 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.299 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.299 * [taylor]: Taking taylor expansion of re in im 0.299 * [backup-simplify]: Simplify re into re 0.299 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.299 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.300 * [backup-simplify]: Simplify (+ 1 0) into 1 0.300 * [backup-simplify]: Simplify (sqrt 1) into 1 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ 0 0) into 0 0.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.301 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.301 * [taylor]: Taking taylor expansion of re in im 0.301 * [backup-simplify]: Simplify re into re 0.301 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.302 * [backup-simplify]: Simplify (+ 1 0) into 1 0.302 * [backup-simplify]: Simplify (sqrt 0) into 0 0.303 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.303 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.303 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.303 * [taylor]: Taking taylor expansion of 2.0 in re 0.303 * [backup-simplify]: Simplify 2.0 into 2.0 0.303 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.303 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.303 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.303 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.303 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.303 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.303 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.303 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.303 * [taylor]: Taking taylor expansion of im in re 0.303 * [backup-simplify]: Simplify im into im 0.303 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.304 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.304 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.304 * [taylor]: Taking taylor expansion of re in re 0.304 * [backup-simplify]: Simplify 0 into 0 0.304 * [backup-simplify]: Simplify 1 into 1 0.304 * [backup-simplify]: Simplify (* 1 1) into 1 0.304 * [backup-simplify]: Simplify (/ 1 1) into 1 0.304 * [backup-simplify]: Simplify (+ 0 1) into 1 0.305 * [backup-simplify]: Simplify (sqrt 1) into 1 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ 0 0) into 0 0.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.306 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.306 * [taylor]: Taking taylor expansion of re in re 0.306 * [backup-simplify]: Simplify 0 into 0 0.306 * [backup-simplify]: Simplify 1 into 1 0.306 * [backup-simplify]: Simplify (/ 1 1) into 1 0.306 * [backup-simplify]: Simplify (- 1) into -1 0.307 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify (+ 0 0) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.309 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (- 0) into 0 0.310 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.310 * [backup-simplify]: Simplify (sqrt 0) into 0 0.311 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.311 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.311 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.311 * [taylor]: Taking taylor expansion of 2.0 in re 0.311 * [backup-simplify]: Simplify 2.0 into 2.0 0.311 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.312 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.312 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.312 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.312 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.312 * [taylor]: Taking taylor expansion of im in re 0.312 * [backup-simplify]: Simplify im into im 0.312 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.312 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.312 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.312 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.312 * [taylor]: Taking taylor expansion of re in re 0.312 * [backup-simplify]: Simplify 0 into 0 0.312 * [backup-simplify]: Simplify 1 into 1 0.312 * [backup-simplify]: Simplify (* 1 1) into 1 0.312 * [backup-simplify]: Simplify (/ 1 1) into 1 0.313 * [backup-simplify]: Simplify (+ 0 1) into 1 0.313 * [backup-simplify]: Simplify (sqrt 1) into 1 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ 0 0) into 0 0.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.314 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.314 * [taylor]: Taking taylor expansion of re in re 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.314 * [backup-simplify]: Simplify (/ 1 1) into 1 0.315 * [backup-simplify]: Simplify (- 1) into -1 0.315 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.315 * [backup-simplify]: Simplify (- 0) into 0 0.316 * [backup-simplify]: Simplify (+ 0 0) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.318 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.318 * [backup-simplify]: Simplify (- 0) into 0 0.318 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.319 * [backup-simplify]: Simplify (sqrt 0) into 0 0.319 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.319 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.319 * [taylor]: Taking taylor expansion of 0 in im 0.319 * [backup-simplify]: Simplify 0 into 0 0.320 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.320 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.320 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.320 * [taylor]: Taking taylor expansion of +nan.0 in im 0.320 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.320 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.320 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.320 * [taylor]: Taking taylor expansion of 2.0 in im 0.320 * [backup-simplify]: Simplify 2.0 into 2.0 0.320 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.321 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.321 * [taylor]: Taking taylor expansion of im in im 0.321 * [backup-simplify]: Simplify 0 into 0 0.321 * [backup-simplify]: Simplify 1 into 1 0.321 * [backup-simplify]: Simplify (* 1 1) into 1 0.322 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify 0 into 0 0.323 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.323 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (+ 0 0) into 0 0.325 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- 0) into 0 0.326 * [backup-simplify]: Simplify (+ 0 0) into 0 0.326 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.327 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.328 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.328 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.328 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.328 * [taylor]: Taking taylor expansion of +nan.0 in im 0.328 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.328 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.328 * [taylor]: Taking taylor expansion of 2.0 in im 0.328 * [backup-simplify]: Simplify 2.0 into 2.0 0.328 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.329 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.329 * [taylor]: Taking taylor expansion of im in im 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (* 1 1) into 1 0.329 * [backup-simplify]: Simplify (* 1 1) into 1 0.330 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.330 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.335 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.336 * [backup-simplify]: Simplify (- 0) into 0 0.336 * [backup-simplify]: Simplify 0 into 0 0.337 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.339 * [backup-simplify]: Simplify (- 0) into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.342 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (- 0) into 0 0.342 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.343 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 0.344 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.345 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.345 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.345 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.345 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.345 * [taylor]: Taking taylor expansion of +nan.0 in im 0.345 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.345 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.345 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.345 * [taylor]: Taking taylor expansion of 2.0 in im 0.345 * [backup-simplify]: Simplify 2.0 into 2.0 0.345 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.345 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.346 * [taylor]: Taking taylor expansion of im in im 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.346 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (* 1 1) into 1 0.346 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.347 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.347 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.347 * [taylor]: Taking taylor expansion of +nan.0 in im 0.347 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.347 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.347 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.347 * [taylor]: Taking taylor expansion of 2.0 in im 0.347 * [backup-simplify]: Simplify 2.0 into 2.0 0.347 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.347 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.347 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.347 * [taylor]: Taking taylor expansion of im in im 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.348 * [backup-simplify]: Simplify (* 1 1) into 1 0.348 * [backup-simplify]: Simplify (* 1 1) into 1 0.348 * [backup-simplify]: Simplify (* 1 1) into 1 0.349 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.349 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.350 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.352 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.352 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.355 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.355 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.357 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.369 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.370 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.374 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.375 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.375 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify (+ 0 0) into 0 0.376 * [backup-simplify]: Simplify (- 0) into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * [backup-simplify]: Simplify 0 into 0 0.376 * * * [progress]: simplifying candidates 0.377 * [simplify]: Simplifying: (expm1 (sqrt (+ (* re re) (* im im)))) (log1p (sqrt (+ (* re re) (* im im)))) (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)))) (expm1 (+ (sqrt (+ (* re re) (* im im))) re)) (log1p (+ (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) (expm1 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log1p (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (log (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (+ re im) (* 2 re) 0 (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.377 * [simplify]: Sending expressions to egg_math: (expm1 (sqrt (+ (* h1 h1) (* h0 h0)))) (log1p (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (expm1 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (log1p (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (expm1 (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (log1p (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (log (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (cbrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt h2) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (* h2 (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (sqrt (* h2 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) h0 h1 (* -1 h1) (+ h1 h0) (* 2 h1) 0 (- (+ (* h3 (* (sqrt h2) (pow h1 2))) (- (+ (* h3 (* (sqrt h2) h0)) (- (* h3 (* (sqrt h2) h1))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h1 2))) (- (* h3 (/ (sqrt h2) h1))))))) 0 0.381 * * [simplify]: iteration 0 : 264 enodes (cost 372 ) 0.385 * * [simplify]: iteration 1 : 830 enodes (cost 337 ) 0.399 * * [simplify]: iteration 2 : 2660 enodes (cost 322 ) 0.445 * * [simplify]: iteration 3 : 5002 enodes (cost 320 ) 0.447 * * * [progress]: adding candidates to table 0.612 * * [progress]: iteration 2 / 4 0.613 * * * [progress]: picking best candidate 0.625 * * * * [pick]: Picked # 0.625 * * * [progress]: localizing error 0.633 * * * [progress]: generating rewritten candidates 0.633 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 2) 0.638 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2 2 2) 0.639 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.662 * * * [progress]: generating series expansions 0.662 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 2) 0.662 * [backup-simplify]: Simplify (+ re (hypot re im)) into (+ re (hypot re im)) 0.662 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 0.662 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.662 * [taylor]: Taking taylor expansion of re in im 0.662 * [backup-simplify]: Simplify re into re 0.662 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.662 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.662 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.662 * [taylor]: Taking taylor expansion of (* re re) in im 0.662 * [taylor]: Taking taylor expansion of re in im 0.662 * [backup-simplify]: Simplify re into re 0.662 * [taylor]: Taking taylor expansion of re in im 0.662 * [backup-simplify]: Simplify re into re 0.662 * [taylor]: Taking taylor expansion of (* im im) in im 0.662 * [taylor]: Taking taylor expansion of im in im 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [taylor]: Taking taylor expansion of im in im 0.662 * [backup-simplify]: Simplify 0 into 0 0.662 * [backup-simplify]: Simplify 1 into 1 0.662 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.663 * [backup-simplify]: Simplify (* 0 0) into 0 0.663 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.663 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.663 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.663 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.664 * [backup-simplify]: Simplify (+ 0 0) into 0 0.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.664 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.664 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.664 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.664 * [taylor]: Taking taylor expansion of (* re re) in re 0.664 * [taylor]: Taking taylor expansion of re in re 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [taylor]: Taking taylor expansion of re in re 0.664 * [backup-simplify]: Simplify 0 into 0 0.664 * [backup-simplify]: Simplify 1 into 1 0.664 * [taylor]: Taking taylor expansion of (* im im) in re 0.664 * [taylor]: Taking taylor expansion of im in re 0.664 * [backup-simplify]: Simplify im into im 0.664 * [taylor]: Taking taylor expansion of im in re 0.664 * [backup-simplify]: Simplify im into im 0.664 * [backup-simplify]: Simplify (* 0 0) into 0 0.664 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.664 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.664 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.665 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.665 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.665 * [backup-simplify]: Simplify (+ 0 0) into 0 0.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.665 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.665 * [taylor]: Taking taylor expansion of re in re 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.665 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.665 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.665 * [taylor]: Taking taylor expansion of (* re re) in re 0.665 * [taylor]: Taking taylor expansion of re in re 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [taylor]: Taking taylor expansion of re in re 0.665 * [backup-simplify]: Simplify 0 into 0 0.665 * [backup-simplify]: Simplify 1 into 1 0.665 * [taylor]: Taking taylor expansion of (* im im) in re 0.666 * [taylor]: Taking taylor expansion of im in re 0.666 * [backup-simplify]: Simplify im into im 0.666 * [taylor]: Taking taylor expansion of im in re 0.666 * [backup-simplify]: Simplify im into im 0.666 * [backup-simplify]: Simplify (* 0 0) into 0 0.666 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.666 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.666 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.666 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.666 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.667 * [backup-simplify]: Simplify (+ 0 0) into 0 0.667 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.667 * [backup-simplify]: Simplify (+ 0 im) into im 0.667 * [taylor]: Taking taylor expansion of im in im 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify 0 into 0 0.667 * [backup-simplify]: Simplify (+ 1 0) into 1 0.667 * [taylor]: Taking taylor expansion of 1 in im 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify 1 into 1 0.667 * [backup-simplify]: Simplify 1 into 1 0.668 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.668 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.668 * [backup-simplify]: Simplify (+ 1 0) into 1 0.669 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.669 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.669 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.669 * [taylor]: Taking taylor expansion of 1/2 in im 0.669 * [backup-simplify]: Simplify 1/2 into 1/2 0.669 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.669 * [taylor]: Taking taylor expansion of im in im 0.669 * [backup-simplify]: Simplify 0 into 0 0.669 * [backup-simplify]: Simplify 1 into 1 0.669 * [backup-simplify]: Simplify (/ 1 1) into 1 0.669 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.670 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.670 * [backup-simplify]: Simplify 0 into 0 0.674 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.674 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.674 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.675 * [backup-simplify]: Simplify (+ 0 0) into 0 0.675 * [taylor]: Taking taylor expansion of 0 in im 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify 0 into 0 0.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.676 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify 0 into 0 0.676 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.676 * [backup-simplify]: Simplify (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 0.676 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 0.676 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.676 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.676 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.676 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.676 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.676 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.676 * [taylor]: Taking taylor expansion of re in im 0.676 * [backup-simplify]: Simplify re into re 0.676 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.676 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.676 * [taylor]: Taking taylor expansion of re in im 0.676 * [backup-simplify]: Simplify re into re 0.677 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.677 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.677 * [taylor]: Taking taylor expansion of (/ 1 im) 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 0.677 * [taylor]: Taking taylor expansion of (/ 1 im) 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 0.677 * [backup-simplify]: Simplify (* 1 1) into 1 0.678 * [backup-simplify]: Simplify (+ 0 1) into 1 0.678 * [backup-simplify]: Simplify (sqrt 1) into 1 0.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.679 * [backup-simplify]: Simplify (+ 0 0) into 0 0.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.680 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.680 * [taylor]: Taking taylor expansion of re in im 0.680 * [backup-simplify]: Simplify re into re 0.680 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.680 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.680 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.680 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.680 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.680 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.680 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.680 * [taylor]: Taking taylor expansion of re in re 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (/ 1 1) into 1 0.680 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.680 * [taylor]: Taking taylor expansion of re in re 0.680 * [backup-simplify]: Simplify 0 into 0 0.680 * [backup-simplify]: Simplify 1 into 1 0.680 * [backup-simplify]: Simplify (/ 1 1) into 1 0.680 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.680 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.680 * [taylor]: Taking taylor expansion of im in re 0.680 * [backup-simplify]: Simplify im into im 0.681 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.681 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.681 * [taylor]: Taking taylor expansion of im in re 0.681 * [backup-simplify]: Simplify im into im 0.681 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.681 * [backup-simplify]: Simplify (* 1 1) into 1 0.681 * [backup-simplify]: Simplify (+ 1 0) into 1 0.681 * [backup-simplify]: Simplify (sqrt 1) into 1 0.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.682 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.683 * [backup-simplify]: Simplify (+ 0 0) into 0 0.683 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.683 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.683 * [taylor]: Taking taylor expansion of re in re 0.683 * [backup-simplify]: Simplify 0 into 0 0.683 * [backup-simplify]: Simplify 1 into 1 0.683 * [backup-simplify]: Simplify (/ 1 1) into 1 0.683 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.683 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.683 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.683 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.684 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.684 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.684 * [taylor]: Taking taylor expansion of re in re 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (/ 1 1) into 1 0.684 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.684 * [taylor]: Taking taylor expansion of re in re 0.684 * [backup-simplify]: Simplify 0 into 0 0.684 * [backup-simplify]: Simplify 1 into 1 0.684 * [backup-simplify]: Simplify (/ 1 1) into 1 0.684 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.684 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.684 * [taylor]: Taking taylor expansion of im in re 0.684 * [backup-simplify]: Simplify im into im 0.684 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.684 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.684 * [taylor]: Taking taylor expansion of im in re 0.684 * [backup-simplify]: Simplify im into im 0.684 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.684 * [backup-simplify]: Simplify (* 1 1) into 1 0.685 * [backup-simplify]: Simplify (+ 1 0) into 1 0.685 * [backup-simplify]: Simplify (sqrt 1) into 1 0.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.686 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.686 * [backup-simplify]: Simplify (+ 0 0) into 0 0.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.687 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.687 * [taylor]: Taking taylor expansion of re in re 0.687 * [backup-simplify]: Simplify 0 into 0 0.687 * [backup-simplify]: Simplify 1 into 1 0.687 * [backup-simplify]: Simplify (/ 1 1) into 1 0.687 * [backup-simplify]: Simplify (+ 1 1) into 2 0.687 * [taylor]: Taking taylor expansion of 2 in im 0.687 * [backup-simplify]: Simplify 2 into 2 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.688 * [backup-simplify]: Simplify (+ 0 0) into 0 0.688 * [taylor]: Taking taylor expansion of 0 in im 0.688 * [backup-simplify]: Simplify 0 into 0 0.688 * [backup-simplify]: Simplify 2 into 2 0.688 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.689 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.689 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.690 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.690 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.691 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.691 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.691 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.691 * [taylor]: Taking taylor expansion of 1/2 in im 0.691 * [backup-simplify]: Simplify 1/2 into 1/2 0.691 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.691 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.691 * [taylor]: Taking taylor expansion of im in im 0.691 * [backup-simplify]: Simplify 0 into 0 0.691 * [backup-simplify]: Simplify 1 into 1 0.691 * [backup-simplify]: Simplify (* 1 1) into 1 0.692 * [backup-simplify]: Simplify (/ 1 1) into 1 0.692 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.693 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify 0 into 0 0.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.695 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.695 * [backup-simplify]: Simplify (+ 0 0) into 0 0.695 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.696 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.696 * [backup-simplify]: Simplify (+ 0 0) into 0 0.696 * [taylor]: Taking taylor expansion of 0 in im 0.696 * [backup-simplify]: Simplify 0 into 0 0.697 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.698 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im)))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 0.698 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 0.698 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.698 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.698 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.698 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.698 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.698 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.698 * [taylor]: Taking taylor expansion of -1 in im 0.698 * [backup-simplify]: Simplify -1 into -1 0.698 * [taylor]: Taking taylor expansion of re in im 0.698 * [backup-simplify]: Simplify re into re 0.698 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.698 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.698 * [taylor]: Taking taylor expansion of -1 in im 0.698 * [backup-simplify]: Simplify -1 into -1 0.698 * [taylor]: Taking taylor expansion of re in im 0.698 * [backup-simplify]: Simplify re into re 0.698 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.698 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.698 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.698 * [taylor]: Taking taylor expansion of -1 in im 0.698 * [backup-simplify]: Simplify -1 into -1 0.698 * [taylor]: Taking taylor expansion of im in im 0.698 * [backup-simplify]: Simplify 0 into 0 0.698 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (/ -1 1) into -1 0.699 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.699 * [taylor]: Taking taylor expansion of -1 in im 0.699 * [backup-simplify]: Simplify -1 into -1 0.699 * [taylor]: Taking taylor expansion of im in im 0.699 * [backup-simplify]: Simplify 0 into 0 0.699 * [backup-simplify]: Simplify 1 into 1 0.699 * [backup-simplify]: Simplify (/ -1 1) into -1 0.699 * [backup-simplify]: Simplify (* -1 -1) into 1 0.700 * [backup-simplify]: Simplify (+ 0 1) into 1 0.700 * [backup-simplify]: Simplify (sqrt 1) into 1 0.700 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.701 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.701 * [backup-simplify]: Simplify (+ 0 0) into 0 0.702 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.702 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.702 * [taylor]: Taking taylor expansion of re in im 0.702 * [backup-simplify]: Simplify re into re 0.702 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.702 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.702 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.702 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.702 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.702 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.702 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.702 * [taylor]: Taking taylor expansion of -1 in re 0.702 * [backup-simplify]: Simplify -1 into -1 0.702 * [taylor]: Taking taylor expansion of re in re 0.702 * [backup-simplify]: Simplify 0 into 0 0.702 * [backup-simplify]: Simplify 1 into 1 0.702 * [backup-simplify]: Simplify (/ -1 1) into -1 0.702 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.702 * [taylor]: Taking taylor expansion of -1 in re 0.702 * [backup-simplify]: Simplify -1 into -1 0.703 * [taylor]: Taking taylor expansion of re in re 0.703 * [backup-simplify]: Simplify 0 into 0 0.703 * [backup-simplify]: Simplify 1 into 1 0.703 * [backup-simplify]: Simplify (/ -1 1) into -1 0.703 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.703 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.703 * [taylor]: Taking taylor expansion of -1 in re 0.703 * [backup-simplify]: Simplify -1 into -1 0.703 * [taylor]: Taking taylor expansion of im in re 0.703 * [backup-simplify]: Simplify im into im 0.703 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.703 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.703 * [taylor]: Taking taylor expansion of -1 in re 0.703 * [backup-simplify]: Simplify -1 into -1 0.703 * [taylor]: Taking taylor expansion of im in re 0.703 * [backup-simplify]: Simplify im into im 0.703 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.703 * [backup-simplify]: Simplify (* -1 -1) into 1 0.704 * [backup-simplify]: Simplify (+ 1 0) into 1 0.704 * [backup-simplify]: Simplify (sqrt 1) into 1 0.704 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.705 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.705 * [backup-simplify]: Simplify (+ 0 0) into 0 0.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.706 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.706 * [taylor]: Taking taylor expansion of re in re 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (/ 1 1) into 1 0.706 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.706 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.706 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.706 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.706 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.706 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.706 * [taylor]: Taking taylor expansion of -1 in re 0.706 * [backup-simplify]: Simplify -1 into -1 0.706 * [taylor]: Taking taylor expansion of re in re 0.706 * [backup-simplify]: Simplify 0 into 0 0.706 * [backup-simplify]: Simplify 1 into 1 0.706 * [backup-simplify]: Simplify (/ -1 1) into -1 0.706 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.706 * [taylor]: Taking taylor expansion of -1 in re 0.706 * [backup-simplify]: Simplify -1 into -1 0.706 * [taylor]: Taking taylor expansion of re in re 0.706 * [backup-simplify]: Simplify 0 into 0 0.707 * [backup-simplify]: Simplify 1 into 1 0.707 * [backup-simplify]: Simplify (/ -1 1) into -1 0.707 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.707 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.707 * [taylor]: Taking taylor expansion of -1 in re 0.707 * [backup-simplify]: Simplify -1 into -1 0.707 * [taylor]: Taking taylor expansion of im in re 0.707 * [backup-simplify]: Simplify im into im 0.707 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.707 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.707 * [taylor]: Taking taylor expansion of -1 in re 0.707 * [backup-simplify]: Simplify -1 into -1 0.707 * [taylor]: Taking taylor expansion of im in re 0.707 * [backup-simplify]: Simplify im into im 0.707 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.707 * [backup-simplify]: Simplify (* -1 -1) into 1 0.707 * [backup-simplify]: Simplify (+ 1 0) into 1 0.708 * [backup-simplify]: Simplify (sqrt 1) into 1 0.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.709 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.709 * [backup-simplify]: Simplify (+ 0 0) into 0 0.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.710 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.710 * [taylor]: Taking taylor expansion of re in re 0.710 * [backup-simplify]: Simplify 0 into 0 0.710 * [backup-simplify]: Simplify 1 into 1 0.710 * [backup-simplify]: Simplify (/ 1 1) into 1 0.710 * [backup-simplify]: Simplify (- 1) into -1 0.710 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.710 * [taylor]: Taking taylor expansion of 0 in im 0.710 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.711 * [backup-simplify]: Simplify (- 0) into 0 0.711 * [backup-simplify]: Simplify (+ 0 0) into 0 0.711 * [taylor]: Taking taylor expansion of 0 in im 0.711 * [backup-simplify]: Simplify 0 into 0 0.711 * [backup-simplify]: Simplify 0 into 0 0.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.712 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.713 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.713 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.713 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.714 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.714 * [backup-simplify]: Simplify (- 0) into 0 0.715 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.715 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.715 * [taylor]: Taking taylor expansion of 1/2 in im 0.715 * [backup-simplify]: Simplify 1/2 into 1/2 0.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.715 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.715 * [taylor]: Taking taylor expansion of im in im 0.715 * [backup-simplify]: Simplify 0 into 0 0.715 * [backup-simplify]: Simplify 1 into 1 0.715 * [backup-simplify]: Simplify (* 1 1) into 1 0.715 * [backup-simplify]: Simplify (/ 1 1) into 1 0.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.716 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.716 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.716 * [backup-simplify]: Simplify 0 into 0 0.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.717 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.718 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.718 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.718 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.718 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.718 * [backup-simplify]: Simplify (+ 0 0) into 0 0.719 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.719 * [backup-simplify]: Simplify (- 0) into 0 0.720 * [backup-simplify]: Simplify (+ 0 0) into 0 0.720 * [taylor]: Taking taylor expansion of 0 in im 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.721 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2 2 2) 0.721 * [backup-simplify]: Simplify (hypot re im) into (hypot re im) 0.721 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 0.721 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.721 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.722 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.722 * [taylor]: Taking taylor expansion of (* re re) in im 0.722 * [taylor]: Taking taylor expansion of re in im 0.722 * [backup-simplify]: Simplify re into re 0.722 * [taylor]: Taking taylor expansion of re in im 0.722 * [backup-simplify]: Simplify re into re 0.722 * [taylor]: Taking taylor expansion of (* im im) in im 0.722 * [taylor]: Taking taylor expansion of im in im 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [taylor]: Taking taylor expansion of im in im 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.722 * [backup-simplify]: Simplify (* 0 0) into 0 0.722 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.722 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.722 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.723 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.723 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.723 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.723 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.723 * [taylor]: Taking taylor expansion of (* re re) in re 0.723 * [taylor]: Taking taylor expansion of re in re 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [taylor]: Taking taylor expansion of re in re 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [taylor]: Taking taylor expansion of (* im im) in re 0.723 * [taylor]: Taking taylor expansion of im in re 0.723 * [backup-simplify]: Simplify im into im 0.723 * [taylor]: Taking taylor expansion of im in re 0.723 * [backup-simplify]: Simplify im into im 0.723 * [backup-simplify]: Simplify (* 0 0) into 0 0.723 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.724 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.724 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.724 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.724 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.724 * [backup-simplify]: Simplify (+ 0 0) into 0 0.724 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.724 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.724 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.724 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.724 * [taylor]: Taking taylor expansion of (* re re) in re 0.724 * [taylor]: Taking taylor expansion of re in re 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of re in re 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [taylor]: Taking taylor expansion of (* im im) in re 0.725 * [taylor]: Taking taylor expansion of im in re 0.725 * [backup-simplify]: Simplify im into im 0.725 * [taylor]: Taking taylor expansion of im in re 0.725 * [backup-simplify]: Simplify im into im 0.725 * [backup-simplify]: Simplify (* 0 0) into 0 0.725 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.725 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.725 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.725 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.725 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.726 * [backup-simplify]: Simplify (+ 0 0) into 0 0.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.726 * [taylor]: Taking taylor expansion of im in im 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [taylor]: Taking taylor expansion of 0 in im 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify 1 into 1 0.726 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.727 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.727 * [backup-simplify]: Simplify (+ 1 0) into 1 0.727 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.727 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.727 * [taylor]: Taking taylor expansion of 1/2 in im 0.727 * [backup-simplify]: Simplify 1/2 into 1/2 0.727 * [taylor]: Taking taylor expansion of im in im 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 0 into 0 0.729 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 0.729 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.729 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.730 * [taylor]: Taking taylor expansion of 0 in im 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.730 * [backup-simplify]: Simplify (hypot (/ 1 re) (/ 1 im)) into (hypot (/ 1 re) (/ 1 im)) 0.730 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 0.730 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.730 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.730 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.730 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.730 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.730 * [taylor]: Taking taylor expansion of re in im 0.731 * [backup-simplify]: Simplify re into re 0.731 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.731 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.731 * [taylor]: Taking taylor expansion of re in im 0.731 * [backup-simplify]: Simplify re into re 0.731 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.731 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.731 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.731 * [taylor]: Taking taylor expansion of im in im 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.731 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.731 * [taylor]: Taking taylor expansion of im in im 0.731 * [backup-simplify]: Simplify 0 into 0 0.731 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.732 * [backup-simplify]: Simplify (+ 0 1) into 1 0.732 * [backup-simplify]: Simplify (sqrt 1) into 1 0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.733 * [backup-simplify]: Simplify (+ 0 0) into 0 0.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.734 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.734 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.734 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.734 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [backup-simplify]: Simplify (/ 1 1) into 1 0.734 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.734 * [taylor]: Taking taylor expansion of re in re 0.734 * [backup-simplify]: Simplify 0 into 0 0.734 * [backup-simplify]: Simplify 1 into 1 0.734 * [backup-simplify]: Simplify (/ 1 1) into 1 0.734 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.734 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.734 * [taylor]: Taking taylor expansion of im in re 0.734 * [backup-simplify]: Simplify im into im 0.734 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.734 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.734 * [taylor]: Taking taylor expansion of im in re 0.735 * [backup-simplify]: Simplify im into im 0.735 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.735 * [backup-simplify]: Simplify (* 1 1) into 1 0.735 * [backup-simplify]: Simplify (+ 1 0) into 1 0.735 * [backup-simplify]: Simplify (sqrt 1) into 1 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.737 * [backup-simplify]: Simplify (+ 0 0) into 0 0.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.737 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.737 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.737 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.737 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.737 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.737 * [taylor]: Taking taylor expansion of re in re 0.737 * [backup-simplify]: Simplify 0 into 0 0.737 * [backup-simplify]: Simplify 1 into 1 0.737 * [backup-simplify]: Simplify (/ 1 1) into 1 0.737 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.737 * [taylor]: Taking taylor expansion of re in re 0.737 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (/ 1 1) into 1 0.738 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.738 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [backup-simplify]: Simplify im into im 0.738 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.738 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.738 * [taylor]: Taking taylor expansion of im in re 0.738 * [backup-simplify]: Simplify im into im 0.738 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.738 * [backup-simplify]: Simplify (* 1 1) into 1 0.738 * [backup-simplify]: Simplify (+ 1 0) into 1 0.739 * [backup-simplify]: Simplify (sqrt 1) into 1 0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.740 * [backup-simplify]: Simplify (+ 0 0) into 0 0.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.740 * [taylor]: Taking taylor expansion of 1 in im 0.740 * [backup-simplify]: Simplify 1 into 1 0.740 * [taylor]: Taking taylor expansion of 0 in im 0.740 * [backup-simplify]: Simplify 0 into 0 0.740 * [backup-simplify]: Simplify 1 into 1 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.742 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.742 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.743 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.743 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.743 * [taylor]: Taking taylor expansion of 1/2 in im 0.743 * [backup-simplify]: Simplify 1/2 into 1/2 0.743 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.743 * [taylor]: Taking taylor expansion of im in im 0.743 * [backup-simplify]: Simplify 0 into 0 0.743 * [backup-simplify]: Simplify 1 into 1 0.743 * [backup-simplify]: Simplify (* 1 1) into 1 0.743 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.746 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.746 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.746 * [backup-simplify]: Simplify (+ 0 0) into 0 0.747 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.747 * [taylor]: Taking taylor expansion of 0 in im 0.747 * [backup-simplify]: Simplify 0 into 0 0.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.748 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.748 * [backup-simplify]: Simplify (hypot (/ 1 (- re)) (/ 1 (- im))) into (hypot (/ -1 re) (/ -1 im)) 0.748 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 0.748 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.748 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.748 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.748 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.748 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.748 * [taylor]: Taking taylor expansion of -1 in im 0.748 * [backup-simplify]: Simplify -1 into -1 0.748 * [taylor]: Taking taylor expansion of re in im 0.748 * [backup-simplify]: Simplify re into re 0.748 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.748 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.748 * [taylor]: Taking taylor expansion of -1 in im 0.748 * [backup-simplify]: Simplify -1 into -1 0.748 * [taylor]: Taking taylor expansion of re in im 0.748 * [backup-simplify]: Simplify re into re 0.748 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.748 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.748 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.748 * [taylor]: Taking taylor expansion of -1 in im 0.749 * [backup-simplify]: Simplify -1 into -1 0.749 * [taylor]: Taking taylor expansion of im in im 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (/ -1 1) into -1 0.749 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.749 * [taylor]: Taking taylor expansion of -1 in im 0.749 * [backup-simplify]: Simplify -1 into -1 0.749 * [taylor]: Taking taylor expansion of im in im 0.749 * [backup-simplify]: Simplify 0 into 0 0.749 * [backup-simplify]: Simplify 1 into 1 0.749 * [backup-simplify]: Simplify (/ -1 1) into -1 0.749 * [backup-simplify]: Simplify (* -1 -1) into 1 0.750 * [backup-simplify]: Simplify (+ 0 1) into 1 0.750 * [backup-simplify]: Simplify (sqrt 1) into 1 0.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.751 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.752 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.752 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.752 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.752 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.752 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.752 * [taylor]: Taking taylor expansion of -1 in re 0.752 * [backup-simplify]: Simplify -1 into -1 0.752 * [taylor]: Taking taylor expansion of re in re 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [backup-simplify]: Simplify (/ -1 1) into -1 0.752 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.752 * [taylor]: Taking taylor expansion of -1 in re 0.752 * [backup-simplify]: Simplify -1 into -1 0.752 * [taylor]: Taking taylor expansion of re in re 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (/ -1 1) into -1 0.753 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.753 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.753 * [taylor]: Taking taylor expansion of -1 in re 0.753 * [backup-simplify]: Simplify -1 into -1 0.753 * [taylor]: Taking taylor expansion of im in re 0.753 * [backup-simplify]: Simplify im into im 0.753 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.753 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.753 * [taylor]: Taking taylor expansion of -1 in re 0.753 * [backup-simplify]: Simplify -1 into -1 0.753 * [taylor]: Taking taylor expansion of im in re 0.753 * [backup-simplify]: Simplify im into im 0.753 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.753 * [backup-simplify]: Simplify (* -1 -1) into 1 0.753 * [backup-simplify]: Simplify (+ 1 0) into 1 0.753 * [backup-simplify]: Simplify (sqrt 1) into 1 0.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.755 * [backup-simplify]: Simplify (+ 0 0) into 0 0.755 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.755 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.755 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.755 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.755 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.755 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.755 * [taylor]: Taking taylor expansion of -1 in re 0.755 * [backup-simplify]: Simplify -1 into -1 0.755 * [taylor]: Taking taylor expansion of re in re 0.755 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (/ -1 1) into -1 0.756 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.756 * [taylor]: Taking taylor expansion of -1 in re 0.756 * [backup-simplify]: Simplify -1 into -1 0.756 * [taylor]: Taking taylor expansion of re in re 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 1 into 1 0.756 * [backup-simplify]: Simplify (/ -1 1) into -1 0.756 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.756 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.756 * [taylor]: Taking taylor expansion of -1 in re 0.756 * [backup-simplify]: Simplify -1 into -1 0.756 * [taylor]: Taking taylor expansion of im in re 0.756 * [backup-simplify]: Simplify im into im 0.756 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.756 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.756 * [taylor]: Taking taylor expansion of -1 in re 0.756 * [backup-simplify]: Simplify -1 into -1 0.756 * [taylor]: Taking taylor expansion of im in re 0.756 * [backup-simplify]: Simplify im into im 0.756 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.757 * [backup-simplify]: Simplify (* -1 -1) into 1 0.757 * [backup-simplify]: Simplify (+ 1 0) into 1 0.757 * [backup-simplify]: Simplify (sqrt 1) into 1 0.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.758 * [backup-simplify]: Simplify (+ 0 0) into 0 0.759 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.759 * [taylor]: Taking taylor expansion of 1 in im 0.759 * [backup-simplify]: Simplify 1 into 1 0.759 * [taylor]: Taking taylor expansion of 0 in im 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify 1 into 1 0.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.761 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.761 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.761 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.762 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.762 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.762 * [taylor]: Taking taylor expansion of 1/2 in im 0.762 * [backup-simplify]: Simplify 1/2 into 1/2 0.762 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.762 * [taylor]: Taking taylor expansion of im in im 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify (* 1 1) into 1 0.762 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.770 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.770 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.770 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.770 * [backup-simplify]: Simplify (+ 0 0) into 0 0.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.771 * [taylor]: Taking taylor expansion of 0 in im 0.771 * [backup-simplify]: Simplify 0 into 0 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.772 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.772 * [backup-simplify]: Simplify (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) into (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) 0.772 * [approximate]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in (re im) around 0 0.772 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in im 0.772 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in im 0.772 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 0.772 * [taylor]: Taking taylor expansion of re in im 0.772 * [backup-simplify]: Simplify re into re 0.772 * [taylor]: Taking taylor expansion of (hypot re im) in im 0.772 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.772 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 0.772 * [taylor]: Taking taylor expansion of (* re re) in im 0.772 * [taylor]: Taking taylor expansion of re in im 0.772 * [backup-simplify]: Simplify re into re 0.772 * [taylor]: Taking taylor expansion of re in im 0.772 * [backup-simplify]: Simplify re into re 0.772 * [taylor]: Taking taylor expansion of (* im im) in im 0.772 * [taylor]: Taking taylor expansion of im in im 0.772 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify 1 into 1 0.772 * [taylor]: Taking taylor expansion of im in im 0.772 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.773 * [backup-simplify]: Simplify (* 0 0) into 0 0.773 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.773 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.773 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.773 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.774 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.774 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.774 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 0.774 * [backup-simplify]: Simplify (+ 0 0) into 0 0.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 0.774 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.774 * [taylor]: Taking taylor expansion of 2.0 in im 0.774 * [backup-simplify]: Simplify 2.0 into 2.0 0.774 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.775 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.775 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.775 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.775 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.775 * [taylor]: Taking taylor expansion of re in re 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.775 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.775 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.775 * [taylor]: Taking taylor expansion of (* re re) in re 0.775 * [taylor]: Taking taylor expansion of re in re 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of re in re 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [taylor]: Taking taylor expansion of (* im im) in re 0.775 * [taylor]: Taking taylor expansion of im in re 0.775 * [backup-simplify]: Simplify im into im 0.775 * [taylor]: Taking taylor expansion of im in re 0.775 * [backup-simplify]: Simplify im into im 0.775 * [backup-simplify]: Simplify (* 0 0) into 0 0.775 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.775 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.776 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.776 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.776 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.776 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.776 * [backup-simplify]: Simplify (+ 0 im) into im 0.776 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.777 * [backup-simplify]: Simplify (+ 1 0) into 1 0.777 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.777 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.777 * [taylor]: Taking taylor expansion of 2.0 in re 0.777 * [backup-simplify]: Simplify 2.0 into 2.0 0.777 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.777 * [taylor]: Taking taylor expansion of (* (sqrt (+ re (hypot re im))) (sqrt 2.0)) in re 0.777 * [taylor]: Taking taylor expansion of (sqrt (+ re (hypot re im))) in re 0.777 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 0.777 * [taylor]: Taking taylor expansion of re in re 0.777 * [backup-simplify]: Simplify 0 into 0 0.777 * [backup-simplify]: Simplify 1 into 1 0.778 * [taylor]: Taking taylor expansion of (hypot re im) in re 0.778 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 0.778 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 0.778 * [taylor]: Taking taylor expansion of (* re re) in re 0.778 * [taylor]: Taking taylor expansion of re in re 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [taylor]: Taking taylor expansion of re in re 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.778 * [taylor]: Taking taylor expansion of (* im im) in re 0.778 * [taylor]: Taking taylor expansion of im in re 0.778 * [backup-simplify]: Simplify im into im 0.778 * [taylor]: Taking taylor expansion of im in re 0.778 * [backup-simplify]: Simplify im into im 0.778 * [backup-simplify]: Simplify (* 0 0) into 0 0.778 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.778 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.778 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.779 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 0.779 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.779 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.779 * [backup-simplify]: Simplify (+ 0 im) into im 0.779 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.779 * [backup-simplify]: Simplify (+ 1 0) into 1 0.779 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt im))) into (* 1/2 (sqrt (/ 1 im))) 0.779 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.779 * [taylor]: Taking taylor expansion of 2.0 in re 0.779 * [backup-simplify]: Simplify 2.0 into 2.0 0.780 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.780 * [backup-simplify]: Simplify (* (sqrt im) (sqrt 2.0)) into (* (sqrt 2.0) (sqrt im)) 0.780 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.780 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.780 * [taylor]: Taking taylor expansion of 2.0 in im 0.780 * [backup-simplify]: Simplify 2.0 into 2.0 0.781 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.781 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.781 * [taylor]: Taking taylor expansion of im in im 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (sqrt 0) into 0 0.782 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.782 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (* (* 1/2 (sqrt (/ 1 im))) (sqrt 2.0))) into (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) 0.783 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.783 * [taylor]: Taking taylor expansion of 1/2 in im 0.783 * [backup-simplify]: Simplify 1/2 into 1/2 0.783 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.783 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.783 * [taylor]: Taking taylor expansion of 2.0 in im 0.783 * [backup-simplify]: Simplify 2.0 into 2.0 0.783 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.784 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.784 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.784 * [taylor]: Taking taylor expansion of im in im 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.784 * [backup-simplify]: Simplify (/ 1 1) into 1 0.784 * [backup-simplify]: Simplify (sqrt 0) into 0 0.785 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.786 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.786 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.788 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.789 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.790 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.791 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.792 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 0.793 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.793 * [backup-simplify]: Simplify (+ 1 0) into 1 0.793 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.793 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.794 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 im)) (pow (* 1/2 (sqrt (/ 1 im))) 2) (+)) (* 2 (sqrt im))) into (* 1/8 (sqrt (/ 1 (pow im 3)))) 0.794 * [backup-simplify]: Simplify (+ (* (sqrt im) 0) (+ (* (* 1/2 (sqrt (/ 1 im))) 0) (* (* 1/8 (sqrt (/ 1 (pow im 3)))) (sqrt 2.0)))) into (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) 0.794 * [taylor]: Taking taylor expansion of (* 1/8 (* (sqrt 2.0) (sqrt (/ 1 (pow im 3))))) in im 0.794 * [taylor]: Taking taylor expansion of 1/8 in im 0.794 * [backup-simplify]: Simplify 1/8 into 1/8 0.794 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 (pow im 3)))) in im 0.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.794 * [taylor]: Taking taylor expansion of 2.0 in im 0.794 * [backup-simplify]: Simplify 2.0 into 2.0 0.795 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 0.795 * [taylor]: Taking taylor expansion of (pow im 3) in im 0.795 * [taylor]: Taking taylor expansion of im in im 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (* 1 1) into 1 0.796 * [backup-simplify]: Simplify (* 1 1) into 1 0.796 * [backup-simplify]: Simplify (/ 1 1) into 1 0.796 * [backup-simplify]: Simplify (sqrt 0) into 0 0.797 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.800 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.802 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.803 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.803 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.806 * [backup-simplify]: Simplify (+ (* 1/8 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.806 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.809 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 re) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im 1)) (* (- (* +nan.0 (sqrt 2.0))) (* 1 re)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) 0.809 * [backup-simplify]: Simplify (sqrt (* 2.0 (* 1 (+ (/ 1 re) (hypot (/ 1 re) (/ 1 im)))))) into (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) 0.809 * [approximate]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in (re im) around 0 0.809 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in im 0.809 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in im 0.809 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 0.809 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 0.810 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.810 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 0.810 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 0.810 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.810 * [taylor]: Taking taylor expansion of re in im 0.810 * [backup-simplify]: Simplify re into re 0.810 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.810 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.810 * [taylor]: Taking taylor expansion of re in im 0.810 * [backup-simplify]: Simplify re into re 0.810 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.810 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 0.810 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.810 * [taylor]: Taking taylor expansion of im in im 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (/ 1 1) into 1 0.810 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.810 * [taylor]: Taking taylor expansion of im in im 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (/ 1 1) into 1 0.811 * [backup-simplify]: Simplify (* 1 1) into 1 0.811 * [backup-simplify]: Simplify (+ 0 1) into 1 0.811 * [backup-simplify]: Simplify (sqrt 1) into 1 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.812 * [backup-simplify]: Simplify (+ 0 0) into 0 0.813 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.813 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.813 * [taylor]: Taking taylor expansion of re in im 0.813 * [backup-simplify]: Simplify re into re 0.813 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.813 * [backup-simplify]: Simplify (+ 1 0) into 1 0.813 * [backup-simplify]: Simplify (sqrt 0) into 0 0.814 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.814 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.814 * [taylor]: Taking taylor expansion of 2.0 in im 0.814 * [backup-simplify]: Simplify 2.0 into 2.0 0.814 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.815 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.815 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.815 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.815 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.815 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.815 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.815 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.815 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.815 * [taylor]: Taking taylor expansion of re in re 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (/ 1 1) into 1 0.815 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.815 * [taylor]: Taking taylor expansion of re in re 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (/ 1 1) into 1 0.816 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.816 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.816 * [taylor]: Taking taylor expansion of im in re 0.816 * [backup-simplify]: Simplify im into im 0.816 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.816 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.816 * [taylor]: Taking taylor expansion of im in re 0.816 * [backup-simplify]: Simplify im into im 0.816 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.816 * [backup-simplify]: Simplify (* 1 1) into 1 0.816 * [backup-simplify]: Simplify (+ 1 0) into 1 0.816 * [backup-simplify]: Simplify (sqrt 1) into 1 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.818 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.818 * [taylor]: Taking taylor expansion of re in re 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (/ 1 1) into 1 0.819 * [backup-simplify]: Simplify (+ 1 1) into 2 0.819 * [backup-simplify]: Simplify (sqrt 0) into 0 0.819 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.819 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.820 * [taylor]: Taking taylor expansion of 2.0 in re 0.820 * [backup-simplify]: Simplify 2.0 into 2.0 0.820 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.820 * [taylor]: Taking taylor expansion of (* (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) (sqrt 2.0)) in re 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re))) in re 0.820 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 0.820 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 0.820 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 0.820 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 0.820 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 0.820 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.820 * [taylor]: Taking taylor expansion of re in re 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (/ 1 1) into 1 0.821 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.821 * [taylor]: Taking taylor expansion of re in re 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (/ 1 1) into 1 0.821 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 0.821 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.821 * [taylor]: Taking taylor expansion of im in re 0.821 * [backup-simplify]: Simplify im into im 0.821 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.821 * [taylor]: Taking taylor expansion of (/ 1 im) in re 0.821 * [taylor]: Taking taylor expansion of im in re 0.821 * [backup-simplify]: Simplify im into im 0.821 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.821 * [backup-simplify]: Simplify (* 1 1) into 1 0.822 * [backup-simplify]: Simplify (+ 1 0) into 1 0.822 * [backup-simplify]: Simplify (sqrt 1) into 1 0.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.824 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.824 * [taylor]: Taking taylor expansion of re in re 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (/ 1 1) into 1 0.824 * [backup-simplify]: Simplify (+ 1 1) into 2 0.824 * [backup-simplify]: Simplify (sqrt 0) into 0 0.825 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.825 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.825 * [taylor]: Taking taylor expansion of 2.0 in re 0.825 * [backup-simplify]: Simplify 2.0 into 2.0 0.825 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.826 * [backup-simplify]: Simplify (* 0 (sqrt 2.0)) into 0 0.826 * [taylor]: Taking taylor expansion of 0 in im 0.826 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify (+ (* 0 0) (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.827 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.827 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.827 * [taylor]: Taking taylor expansion of +nan.0 in im 0.827 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.827 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.827 * [taylor]: Taking taylor expansion of 2.0 in im 0.827 * [backup-simplify]: Simplify 2.0 into 2.0 0.827 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.828 * [backup-simplify]: Simplify 0 into 0 0.829 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.829 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.833 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.833 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.833 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.833 * [taylor]: Taking taylor expansion of +nan.0 in im 0.833 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.833 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.833 * [taylor]: Taking taylor expansion of 2.0 in im 0.833 * [backup-simplify]: Simplify 2.0 into 2.0 0.833 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.834 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.835 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.836 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.838 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 0.838 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.839 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.840 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.842 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.842 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.842 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.842 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.842 * [taylor]: Taking taylor expansion of +nan.0 in im 0.842 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.842 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.842 * [taylor]: Taking taylor expansion of 2.0 in im 0.842 * [backup-simplify]: Simplify 2.0 into 2.0 0.842 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.842 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.842 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.842 * [taylor]: Taking taylor expansion of im in im 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 1 into 1 0.843 * [backup-simplify]: Simplify (* 1 1) into 1 0.843 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.843 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.843 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.843 * [taylor]: Taking taylor expansion of +nan.0 in im 0.843 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.843 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.843 * [taylor]: Taking taylor expansion of 2.0 in im 0.843 * [backup-simplify]: Simplify 2.0 into 2.0 0.844 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.844 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.845 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.845 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.845 * [backup-simplify]: Simplify (+ 0 0) into 0 0.846 * [backup-simplify]: Simplify (- 0) into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.847 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.848 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.849 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.849 * [backup-simplify]: Simplify (- 0) into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.851 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 0.851 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 0.853 * [backup-simplify]: Simplify (+ 0 0) into 0 0.853 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (+ 0 0) into 0 0.855 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.856 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (+ (* +nan.0 0) (+ (* (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0) (* (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) (sqrt 2.0)))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.856 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.856 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.856 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.856 * [taylor]: Taking taylor expansion of +nan.0 in im 0.856 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.856 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.856 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.856 * [taylor]: Taking taylor expansion of 2.0 in im 0.856 * [backup-simplify]: Simplify 2.0 into 2.0 0.857 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.857 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.857 * [taylor]: Taking taylor expansion of im in im 0.857 * [backup-simplify]: Simplify 0 into 0 0.857 * [backup-simplify]: Simplify 1 into 1 0.857 * [backup-simplify]: Simplify (* 1 1) into 1 0.858 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.858 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.858 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.858 * [taylor]: Taking taylor expansion of +nan.0 in im 0.858 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.858 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.858 * [taylor]: Taking taylor expansion of 2.0 in im 0.858 * [backup-simplify]: Simplify 2.0 into 2.0 0.858 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.866 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.866 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.866 * [backup-simplify]: Simplify (+ 0 0) into 0 0.866 * [backup-simplify]: Simplify (- 0) into 0 0.866 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.868 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.868 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.869 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.869 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.870 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.871 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.873 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.873 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.876 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 re)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 re))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.876 * [backup-simplify]: Simplify (sqrt (* 2.0 (* 1 (+ (/ 1 (- re)) (hypot (/ 1 (- re)) (/ 1 (- im))))))) into (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) 0.876 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in (re im) around 0 0.876 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in im 0.876 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.876 * [taylor]: Taking taylor expansion of 2.0 in im 0.876 * [backup-simplify]: Simplify 2.0 into 2.0 0.877 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.877 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.877 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in im 0.877 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 0.877 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 0.877 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.877 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 0.877 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 0.877 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.877 * [taylor]: Taking taylor expansion of -1 in im 0.877 * [backup-simplify]: Simplify -1 into -1 0.877 * [taylor]: Taking taylor expansion of re in im 0.877 * [backup-simplify]: Simplify re into re 0.877 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.877 * [taylor]: Taking taylor expansion of (/ -1 re) in im 0.878 * [taylor]: Taking taylor expansion of -1 in im 0.878 * [backup-simplify]: Simplify -1 into -1 0.878 * [taylor]: Taking taylor expansion of re in im 0.878 * [backup-simplify]: Simplify re into re 0.878 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 0.878 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 0.878 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.878 * [taylor]: Taking taylor expansion of -1 in im 0.878 * [backup-simplify]: Simplify -1 into -1 0.878 * [taylor]: Taking taylor expansion of im in im 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (/ -1 1) into -1 0.878 * [taylor]: Taking taylor expansion of (/ -1 im) in im 0.878 * [taylor]: Taking taylor expansion of -1 in im 0.878 * [backup-simplify]: Simplify -1 into -1 0.878 * [taylor]: Taking taylor expansion of im in im 0.878 * [backup-simplify]: Simplify 0 into 0 0.878 * [backup-simplify]: Simplify 1 into 1 0.878 * [backup-simplify]: Simplify (/ -1 1) into -1 0.878 * [backup-simplify]: Simplify (* -1 -1) into 1 0.879 * [backup-simplify]: Simplify (+ 0 1) into 1 0.879 * [backup-simplify]: Simplify (sqrt 1) into 1 0.879 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.880 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.880 * [backup-simplify]: Simplify (+ 0 0) into 0 0.881 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.881 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.881 * [taylor]: Taking taylor expansion of re in im 0.881 * [backup-simplify]: Simplify re into re 0.881 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.881 * [backup-simplify]: Simplify (+ 1 0) into 1 0.881 * [backup-simplify]: Simplify (sqrt 0) into 0 0.882 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.882 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.882 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.882 * [taylor]: Taking taylor expansion of 2.0 in re 0.882 * [backup-simplify]: Simplify 2.0 into 2.0 0.882 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.883 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.883 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.883 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.883 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.883 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.883 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.883 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.883 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.883 * [taylor]: Taking taylor expansion of -1 in re 0.883 * [backup-simplify]: Simplify -1 into -1 0.883 * [taylor]: Taking taylor expansion of re in re 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.883 * [backup-simplify]: Simplify (/ -1 1) into -1 0.883 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.883 * [taylor]: Taking taylor expansion of -1 in re 0.883 * [backup-simplify]: Simplify -1 into -1 0.883 * [taylor]: Taking taylor expansion of re in re 0.883 * [backup-simplify]: Simplify 0 into 0 0.883 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (/ -1 1) into -1 0.884 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.884 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.884 * [taylor]: Taking taylor expansion of -1 in re 0.884 * [backup-simplify]: Simplify -1 into -1 0.884 * [taylor]: Taking taylor expansion of im in re 0.884 * [backup-simplify]: Simplify im into im 0.884 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.884 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.884 * [taylor]: Taking taylor expansion of -1 in re 0.884 * [backup-simplify]: Simplify -1 into -1 0.884 * [taylor]: Taking taylor expansion of im in re 0.884 * [backup-simplify]: Simplify im into im 0.884 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.884 * [backup-simplify]: Simplify (* -1 -1) into 1 0.884 * [backup-simplify]: Simplify (+ 1 0) into 1 0.885 * [backup-simplify]: Simplify (sqrt 1) into 1 0.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.886 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.886 * [backup-simplify]: Simplify (+ 0 0) into 0 0.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.887 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.887 * [taylor]: Taking taylor expansion of re in re 0.887 * [backup-simplify]: Simplify 0 into 0 0.887 * [backup-simplify]: Simplify 1 into 1 0.887 * [backup-simplify]: Simplify (/ 1 1) into 1 0.887 * [backup-simplify]: Simplify (- 1) into -1 0.887 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.888 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.888 * [backup-simplify]: Simplify (- 0) into 0 0.888 * [backup-simplify]: Simplify (+ 0 0) into 0 0.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.889 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.890 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.890 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.891 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (- 0) into 0 0.891 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.892 * [backup-simplify]: Simplify (sqrt 0) into 0 0.892 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.892 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)))) in re 0.892 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.892 * [taylor]: Taking taylor expansion of 2.0 in re 0.892 * [backup-simplify]: Simplify 2.0 into 2.0 0.892 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.893 * [taylor]: Taking taylor expansion of (sqrt (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re))) in re 0.893 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 0.893 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 0.893 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 0.893 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 0.893 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 0.893 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.893 * [taylor]: Taking taylor expansion of -1 in re 0.893 * [backup-simplify]: Simplify -1 into -1 0.893 * [taylor]: Taking taylor expansion of re in re 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.893 * [backup-simplify]: Simplify (/ -1 1) into -1 0.893 * [taylor]: Taking taylor expansion of (/ -1 re) in re 0.893 * [taylor]: Taking taylor expansion of -1 in re 0.893 * [backup-simplify]: Simplify -1 into -1 0.893 * [taylor]: Taking taylor expansion of re in re 0.893 * [backup-simplify]: Simplify 0 into 0 0.893 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (/ -1 1) into -1 0.894 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 0.894 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.894 * [taylor]: Taking taylor expansion of -1 in re 0.894 * [backup-simplify]: Simplify -1 into -1 0.894 * [taylor]: Taking taylor expansion of im in re 0.894 * [backup-simplify]: Simplify im into im 0.894 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.894 * [taylor]: Taking taylor expansion of (/ -1 im) in re 0.894 * [taylor]: Taking taylor expansion of -1 in re 0.894 * [backup-simplify]: Simplify -1 into -1 0.894 * [taylor]: Taking taylor expansion of im in re 0.894 * [backup-simplify]: Simplify im into im 0.894 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 0.894 * [backup-simplify]: Simplify (* -1 -1) into 1 0.894 * [backup-simplify]: Simplify (+ 1 0) into 1 0.894 * [backup-simplify]: Simplify (sqrt 1) into 1 0.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.895 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 0.896 * [backup-simplify]: Simplify (+ 0 0) into 0 0.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.896 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.896 * [taylor]: Taking taylor expansion of re in re 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (/ 1 1) into 1 0.897 * [backup-simplify]: Simplify (- 1) into -1 0.897 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (- 0) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.899 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 0.900 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 0.900 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 0.900 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (- 0) into 0 0.901 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.902 * [backup-simplify]: Simplify (sqrt 0) into 0 0.902 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.902 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.902 * [taylor]: Taking taylor expansion of 0 in im 0.902 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.903 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.903 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.903 * [taylor]: Taking taylor expansion of +nan.0 in im 0.903 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.903 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.903 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.903 * [taylor]: Taking taylor expansion of 2.0 in im 0.903 * [backup-simplify]: Simplify 2.0 into 2.0 0.903 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.904 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.904 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.904 * [taylor]: Taking taylor expansion of im in im 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (* 1 1) into 1 0.904 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.905 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.906 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.906 * [backup-simplify]: Simplify (- 0) into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.908 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 0.908 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.908 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 0.908 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (- 0) into 0 0.909 * [backup-simplify]: Simplify (+ 0 0) into 0 0.910 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.911 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.911 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.911 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.911 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.911 * [taylor]: Taking taylor expansion of +nan.0 in im 0.911 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.911 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.911 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.911 * [taylor]: Taking taylor expansion of 2.0 in im 0.911 * [backup-simplify]: Simplify 2.0 into 2.0 0.912 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.912 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.912 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.912 * [taylor]: Taking taylor expansion of im in im 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify (* 1 1) into 1 0.913 * [backup-simplify]: Simplify (* 1 1) into 1 0.913 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.914 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.914 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.917 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.919 * [backup-simplify]: Simplify (- 0) into 0 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.921 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.921 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.922 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.922 * [backup-simplify]: Simplify (- 0) into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 0.924 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.924 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)) (* 0 (/ 0 im)))) into 0 0.924 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (+ (* 0 0) (* 0 (/ -1 im)))) into 0 0.924 * [backup-simplify]: Simplify (+ 0 0) into 0 0.925 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (- 0) into 0 0.926 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.927 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 0.927 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.928 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.928 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.928 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.928 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.928 * [taylor]: Taking taylor expansion of +nan.0 in im 0.928 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.928 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.928 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.928 * [taylor]: Taking taylor expansion of 2.0 in im 0.928 * [backup-simplify]: Simplify 2.0 into 2.0 0.929 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.929 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.929 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.929 * [taylor]: Taking taylor expansion of im in im 0.929 * [backup-simplify]: Simplify 0 into 0 0.929 * [backup-simplify]: Simplify 1 into 1 0.929 * [backup-simplify]: Simplify (* 1 1) into 1 0.930 * [backup-simplify]: Simplify (* 1 1) into 1 0.930 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.930 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.930 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.930 * [taylor]: Taking taylor expansion of +nan.0 in im 0.930 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.930 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.930 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.930 * [taylor]: Taking taylor expansion of 2.0 in im 0.930 * [backup-simplify]: Simplify 2.0 into 2.0 0.930 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.931 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.931 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.931 * [taylor]: Taking taylor expansion of im in im 0.931 * [backup-simplify]: Simplify 0 into 0 0.931 * [backup-simplify]: Simplify 1 into 1 0.931 * [backup-simplify]: Simplify (* 1 1) into 1 0.931 * [backup-simplify]: Simplify (* 1 1) into 1 0.932 * [backup-simplify]: Simplify (* 1 1) into 1 0.932 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.933 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.933 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.934 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.934 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.935 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.939 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.939 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.940 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.941 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.942 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.943 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.944 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.947 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.949 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.956 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.959 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.959 * [backup-simplify]: Simplify (- 0) into 0 0.960 * [backup-simplify]: Simplify (+ 0 0) into 0 0.960 * [backup-simplify]: Simplify (- 0) into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * [backup-simplify]: Simplify 0 into 0 0.960 * * * [progress]: simplifying candidates 0.961 * [simplify]: Simplifying: (expm1 (+ re (hypot re im))) (log1p (+ re (hypot re im))) (* (exp re) (exp (hypot re im))) (log (+ re (hypot re im))) (exp (+ re (hypot re im))) (* (cbrt (+ re (hypot re im))) (cbrt (+ re (hypot re im)))) (cbrt (+ re (hypot re im))) (* (* (+ re (hypot re im)) (+ re (hypot re im))) (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (sqrt (+ re (hypot re im))) (+ (pow re 3) (pow (hypot re im) 3)) (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im)))) (- (* re re) (* (hypot re im) (hypot re im))) (- re (hypot re im)) (+ re (hypot re im)) (expm1 (hypot re im)) (log1p (hypot re im)) (+ (* re re) (* im im)) (log (hypot re im)) (exp (hypot re im)) (* (cbrt (hypot re im)) (cbrt (hypot re im))) (cbrt (hypot re im)) (* (* (hypot re im) (hypot re im)) (hypot re im)) (sqrt (hypot re im)) (sqrt (hypot re im)) (expm1 (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log1p (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (log (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (exp (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im))))))) (cbrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (* (* (sqrt (* 2.0 (* 1 (+ re (hypot re im))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt 2.0) (sqrt (* 1 (+ re (hypot re im)))) (sqrt (* 2.0 (* 1 (+ (pow re 3) (pow (hypot re im) 3))))) (sqrt (+ (* re re) (- (* (hypot re im) (hypot re im)) (* re (hypot re im))))) (sqrt (* 2.0 (* 1 (- (* re re) (* (hypot re im) (hypot re im)))))) (sqrt (- re (hypot re im))) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (sqrt (sqrt (* 2.0 (* 1 (+ re (hypot re im)))))) (+ re im) (* 2 re) 0 im re (* -1 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow re 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) re))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0 0.961 * [simplify]: Sending expressions to egg_math: (expm1 (+ h1 (hypot h1 h0))) (log1p (+ h1 (hypot h1 h0))) (* (exp h1) (exp (hypot h1 h0))) (log (+ h1 (hypot h1 h0))) (exp (+ h1 (hypot h1 h0))) (* (cbrt (+ h1 (hypot h1 h0))) (cbrt (+ h1 (hypot h1 h0)))) (cbrt (+ h1 (hypot h1 h0))) (* (* (+ h1 (hypot h1 h0)) (+ h1 (hypot h1 h0))) (+ h1 (hypot h1 h0))) (sqrt (+ h1 (hypot h1 h0))) (sqrt (+ h1 (hypot h1 h0))) (+ (pow h1 3) (pow (hypot h1 h0) 3)) (+ (* h1 h1) (- (* (hypot h1 h0) (hypot h1 h0)) (* h1 (hypot h1 h0)))) (- (* h1 h1) (* (hypot h1 h0) (hypot h1 h0))) (- h1 (hypot h1 h0)) (+ h1 (hypot h1 h0)) (expm1 (hypot h1 h0)) (log1p (hypot h1 h0)) (+ (* h1 h1) (* h0 h0)) (log (hypot h1 h0)) (exp (hypot h1 h0)) (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))) (cbrt (hypot h1 h0)) (* (* (hypot h1 h0) (hypot h1 h0)) (hypot h1 h0)) (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)) (expm1 (sqrt (* h2 (* 1 (+ h1 (hypot h1 h0)))))) (log1p (sqrt (* h2 (* 1 (+ h1 (hypot h1 h0)))))) (log (sqrt (* h2 (* 1 (+ h1 (hypot h1 h0)))))) (exp (sqrt (* h2 (* 1 (+ h1 (hypot h1 h0)))))) (* (cbrt (sqrt (* h2 (* 1 (+ h1 (hypot h1 h0)))))) (cbrt (sqrt (* h2 (* 1 (+ h1 (hypot h1 h0))))))) (cbrt (sqrt (* h2 (* 1 (+ h1 (hypot h1 h0)))))) (* (* (sqrt (* h2 (* 1 (+ h1 (hypot h1 h0))))) (sqrt (* h2 (* 1 (+ h1 (hypot h1 h0)))))) (sqrt (* h2 (* 1 (+ h1 (hypot h1 h0)))))) (sqrt h2) (sqrt (* 1 (+ h1 (hypot h1 h0)))) (sqrt (* h2 (* 1 (+ (pow h1 3) (pow (hypot h1 h0) 3))))) (sqrt (+ (* h1 h1) (- (* (hypot h1 h0) (hypot h1 h0)) (* h1 (hypot h1 h0))))) (sqrt (* h2 (* 1 (- (* h1 h1) (* (hypot h1 h0) (hypot h1 h0)))))) (sqrt (- h1 (hypot h1 h0))) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (* 1 (+ h1 (hypot h1 h0)))))) (sqrt (sqrt (* h2 (* 1 (+ h1 (hypot h1 h0)))))) (+ h1 h0) (* 2 h1) 0 h0 h1 (* -1 h1) (- (+ (* h3 (* (sqrt h2) (pow h1 2))) (- (+ (* h3 (* (sqrt h2) h0)) (- (* h3 (* (sqrt h2) h1))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h1 2))) (- (* h3 (/ (sqrt h2) h1))))))) 0 0.964 * * [simplify]: iteration 0 : 208 enodes (cost 209 ) 0.968 * * [simplify]: iteration 1 : 808 enodes (cost 191 ) 0.982 * * [simplify]: iteration 2 : 3269 enodes (cost 185 ) 1.039 * * [simplify]: iteration 3 : 5001 enodes (cost 185 ) 1.040 * * * [progress]: adding candidates to table 1.171 * * [progress]: iteration 3 / 4 1.171 * * * [progress]: picking best candidate 1.188 * * * * [pick]: Picked # 1.188 * * * [progress]: localizing error 1.198 * * * [progress]: generating rewritten candidates 1.199 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 1.208 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 2) 1.221 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 2 2) 1.222 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2 1) 1.226 * * * [progress]: generating series expansions 1.226 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 1.226 * [backup-simplify]: Simplify (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) into (+ re (hypot re im)) 1.226 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.226 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.226 * [taylor]: Taking taylor expansion of re in im 1.226 * [backup-simplify]: Simplify re into re 1.226 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.226 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.226 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.226 * [taylor]: Taking taylor expansion of (* re re) in im 1.226 * [taylor]: Taking taylor expansion of re in im 1.226 * [backup-simplify]: Simplify re into re 1.226 * [taylor]: Taking taylor expansion of re in im 1.226 * [backup-simplify]: Simplify re into re 1.226 * [taylor]: Taking taylor expansion of (* im im) in im 1.226 * [taylor]: Taking taylor expansion of im in im 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [taylor]: Taking taylor expansion of im in im 1.226 * [backup-simplify]: Simplify 0 into 0 1.226 * [backup-simplify]: Simplify 1 into 1 1.226 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.227 * [backup-simplify]: Simplify (* 0 0) into 0 1.227 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.227 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.227 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.227 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.228 * [backup-simplify]: Simplify (+ 0 0) into 0 1.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.228 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.228 * [taylor]: Taking taylor expansion of re in re 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.228 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.228 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.228 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.228 * [taylor]: Taking taylor expansion of (* re re) in re 1.228 * [taylor]: Taking taylor expansion of re in re 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.228 * [taylor]: Taking taylor expansion of re in re 1.228 * [backup-simplify]: Simplify 0 into 0 1.228 * [backup-simplify]: Simplify 1 into 1 1.228 * [taylor]: Taking taylor expansion of (* im im) in re 1.228 * [taylor]: Taking taylor expansion of im in re 1.228 * [backup-simplify]: Simplify im into im 1.228 * [taylor]: Taking taylor expansion of im in re 1.228 * [backup-simplify]: Simplify im into im 1.228 * [backup-simplify]: Simplify (* 0 0) into 0 1.228 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.228 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.229 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.229 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.229 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.229 * [backup-simplify]: Simplify (+ 0 0) into 0 1.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.229 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) 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 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.229 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.229 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.229 * [taylor]: Taking taylor expansion of (* re re) in re 1.230 * [taylor]: Taking taylor expansion of re in re 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [taylor]: Taking taylor expansion of re in re 1.230 * [backup-simplify]: Simplify 0 into 0 1.230 * [backup-simplify]: Simplify 1 into 1 1.230 * [taylor]: Taking taylor expansion of (* im im) in re 1.230 * [taylor]: Taking taylor expansion of im in re 1.230 * [backup-simplify]: Simplify im into im 1.230 * [taylor]: Taking taylor expansion of im in re 1.230 * [backup-simplify]: Simplify im into im 1.230 * [backup-simplify]: Simplify (* 0 0) into 0 1.230 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.230 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.230 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.230 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.230 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.231 * [backup-simplify]: Simplify (+ 0 0) into 0 1.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.231 * [backup-simplify]: Simplify (+ 0 im) into im 1.231 * [taylor]: Taking taylor expansion of im in im 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify 0 into 0 1.231 * [backup-simplify]: Simplify (+ 1 0) into 1 1.231 * [taylor]: Taking taylor expansion of 1 in im 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify 1 into 1 1.231 * [backup-simplify]: Simplify 1 into 1 1.232 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.232 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.232 * [backup-simplify]: Simplify (+ 1 0) into 1 1.233 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.233 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.233 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.233 * [taylor]: Taking taylor expansion of 1/2 in im 1.233 * [backup-simplify]: Simplify 1/2 into 1/2 1.233 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.233 * [taylor]: Taking taylor expansion of im in im 1.233 * [backup-simplify]: Simplify 0 into 0 1.233 * [backup-simplify]: Simplify 1 into 1 1.233 * [backup-simplify]: Simplify (/ 1 1) into 1 1.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.234 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify 0 into 0 1.234 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.235 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.235 * [backup-simplify]: Simplify (+ 0 0) into 0 1.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.235 * [backup-simplify]: Simplify (+ 0 0) into 0 1.235 * [taylor]: Taking taylor expansion of 0 in im 1.235 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify 0 into 0 1.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.236 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.237 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1.237 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.237 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.237 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.237 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.237 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.237 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.237 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.237 * [taylor]: Taking taylor expansion of re in im 1.237 * [backup-simplify]: Simplify re into re 1.237 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.237 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.237 * [taylor]: Taking taylor expansion of re in im 1.237 * [backup-simplify]: Simplify re into re 1.237 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.237 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.237 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.237 * [taylor]: Taking taylor expansion of im in im 1.237 * [backup-simplify]: Simplify 0 into 0 1.237 * [backup-simplify]: Simplify 1 into 1 1.237 * [backup-simplify]: Simplify (/ 1 1) into 1 1.238 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.238 * [taylor]: Taking taylor expansion of im in im 1.238 * [backup-simplify]: Simplify 0 into 0 1.238 * [backup-simplify]: Simplify 1 into 1 1.238 * [backup-simplify]: Simplify (/ 1 1) into 1 1.238 * [backup-simplify]: Simplify (* 1 1) into 1 1.238 * [backup-simplify]: Simplify (+ 0 1) into 1 1.238 * [backup-simplify]: Simplify (sqrt 1) into 1 1.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.240 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.240 * [backup-simplify]: Simplify (+ 0 0) into 0 1.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.240 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.240 * [taylor]: Taking taylor expansion of re in im 1.240 * [backup-simplify]: Simplify re into re 1.240 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.240 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.240 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.240 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.241 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.241 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.241 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.241 * [taylor]: Taking taylor expansion of re in re 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (/ 1 1) into 1 1.241 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.241 * [taylor]: Taking taylor expansion of re in re 1.241 * [backup-simplify]: Simplify 0 into 0 1.241 * [backup-simplify]: Simplify 1 into 1 1.241 * [backup-simplify]: Simplify (/ 1 1) into 1 1.241 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.241 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.241 * [taylor]: Taking taylor expansion of im in re 1.241 * [backup-simplify]: Simplify im into im 1.241 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.241 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.241 * [taylor]: Taking taylor expansion of im in re 1.241 * [backup-simplify]: Simplify im into im 1.241 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.241 * [backup-simplify]: Simplify (* 1 1) into 1 1.242 * [backup-simplify]: Simplify (+ 1 0) into 1 1.242 * [backup-simplify]: Simplify (sqrt 1) into 1 1.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.243 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.243 * [backup-simplify]: Simplify (+ 0 0) into 0 1.244 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.244 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.244 * [taylor]: Taking taylor expansion of re in re 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (/ 1 1) into 1 1.244 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.244 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.244 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.244 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.244 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.244 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.244 * [taylor]: Taking taylor expansion of re in re 1.244 * [backup-simplify]: Simplify 0 into 0 1.244 * [backup-simplify]: Simplify 1 into 1 1.244 * [backup-simplify]: Simplify (/ 1 1) into 1 1.245 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.245 * [taylor]: Taking taylor expansion of re in re 1.245 * [backup-simplify]: Simplify 0 into 0 1.245 * [backup-simplify]: Simplify 1 into 1 1.245 * [backup-simplify]: Simplify (/ 1 1) into 1 1.245 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.245 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.245 * [taylor]: Taking taylor expansion of im in re 1.245 * [backup-simplify]: Simplify im into im 1.245 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.245 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.245 * [taylor]: Taking taylor expansion of im in re 1.245 * [backup-simplify]: Simplify im into im 1.245 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.245 * [backup-simplify]: Simplify (* 1 1) into 1 1.245 * [backup-simplify]: Simplify (+ 1 0) into 1 1.246 * [backup-simplify]: Simplify (sqrt 1) into 1 1.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.247 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.247 * [backup-simplify]: Simplify (+ 0 0) into 0 1.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.247 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.247 * [taylor]: Taking taylor expansion of re in re 1.247 * [backup-simplify]: Simplify 0 into 0 1.247 * [backup-simplify]: Simplify 1 into 1 1.248 * [backup-simplify]: Simplify (/ 1 1) into 1 1.248 * [backup-simplify]: Simplify (+ 1 1) into 2 1.248 * [taylor]: Taking taylor expansion of 2 in im 1.248 * [backup-simplify]: Simplify 2 into 2 1.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.249 * [backup-simplify]: Simplify (+ 0 0) into 0 1.249 * [taylor]: Taking taylor expansion of 0 in im 1.249 * [backup-simplify]: Simplify 0 into 0 1.249 * [backup-simplify]: Simplify 2 into 2 1.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.250 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.250 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.251 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.252 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.252 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.252 * [taylor]: Taking taylor expansion of 1/2 in im 1.252 * [backup-simplify]: Simplify 1/2 into 1/2 1.252 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.252 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.252 * [taylor]: Taking taylor expansion of im in im 1.252 * [backup-simplify]: Simplify 0 into 0 1.252 * [backup-simplify]: Simplify 1 into 1 1.252 * [backup-simplify]: Simplify (* 1 1) into 1 1.252 * [backup-simplify]: Simplify (/ 1 1) into 1 1.253 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify 0 into 0 1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.255 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.255 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.255 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.255 * [backup-simplify]: Simplify (+ 0 0) into 0 1.256 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.257 * [backup-simplify]: Simplify (+ 0 0) into 0 1.257 * [taylor]: Taking taylor expansion of 0 in im 1.257 * [backup-simplify]: Simplify 0 into 0 1.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.258 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify 0 into 0 1.258 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.258 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1.258 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.258 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.258 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.259 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.259 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.259 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.259 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.259 * [taylor]: Taking taylor expansion of -1 in im 1.259 * [backup-simplify]: Simplify -1 into -1 1.259 * [taylor]: Taking taylor expansion of re in im 1.259 * [backup-simplify]: Simplify re into re 1.259 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.259 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.259 * [taylor]: Taking taylor expansion of -1 in im 1.259 * [backup-simplify]: Simplify -1 into -1 1.259 * [taylor]: Taking taylor expansion of re in im 1.259 * [backup-simplify]: Simplify re into re 1.259 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.259 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.259 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.259 * [taylor]: Taking taylor expansion of -1 in im 1.259 * [backup-simplify]: Simplify -1 into -1 1.259 * [taylor]: Taking taylor expansion of im in im 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.259 * [backup-simplify]: Simplify (/ -1 1) into -1 1.259 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.259 * [taylor]: Taking taylor expansion of -1 in im 1.259 * [backup-simplify]: Simplify -1 into -1 1.259 * [taylor]: Taking taylor expansion of im in im 1.259 * [backup-simplify]: Simplify 0 into 0 1.259 * [backup-simplify]: Simplify 1 into 1 1.260 * [backup-simplify]: Simplify (/ -1 1) into -1 1.260 * [backup-simplify]: Simplify (* -1 -1) into 1 1.260 * [backup-simplify]: Simplify (+ 0 1) into 1 1.260 * [backup-simplify]: Simplify (sqrt 1) into 1 1.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.261 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.262 * [backup-simplify]: Simplify (+ 0 0) into 0 1.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.262 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.262 * [taylor]: Taking taylor expansion of re in im 1.262 * [backup-simplify]: Simplify re into re 1.262 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.262 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.262 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.262 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.262 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.262 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.262 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.262 * [taylor]: Taking taylor expansion of -1 in re 1.262 * [backup-simplify]: Simplify -1 into -1 1.262 * [taylor]: Taking taylor expansion of re in re 1.262 * [backup-simplify]: Simplify 0 into 0 1.262 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (/ -1 1) into -1 1.263 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.263 * [taylor]: Taking taylor expansion of -1 in re 1.263 * [backup-simplify]: Simplify -1 into -1 1.263 * [taylor]: Taking taylor expansion of re in re 1.263 * [backup-simplify]: Simplify 0 into 0 1.263 * [backup-simplify]: Simplify 1 into 1 1.263 * [backup-simplify]: Simplify (/ -1 1) into -1 1.263 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.263 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.263 * [taylor]: Taking taylor expansion of -1 in re 1.263 * [backup-simplify]: Simplify -1 into -1 1.263 * [taylor]: Taking taylor expansion of im in re 1.263 * [backup-simplify]: Simplify im into im 1.263 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.263 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.263 * [taylor]: Taking taylor expansion of -1 in re 1.263 * [backup-simplify]: Simplify -1 into -1 1.263 * [taylor]: Taking taylor expansion of im in re 1.263 * [backup-simplify]: Simplify im into im 1.263 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.263 * [backup-simplify]: Simplify (* -1 -1) into 1 1.264 * [backup-simplify]: Simplify (+ 1 0) into 1 1.264 * [backup-simplify]: Simplify (sqrt 1) into 1 1.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.265 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.265 * [backup-simplify]: Simplify (+ 0 0) into 0 1.266 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.266 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.266 * [taylor]: Taking taylor expansion of re in re 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.266 * [backup-simplify]: Simplify (/ 1 1) into 1 1.266 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.266 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.266 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.266 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.266 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.266 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.266 * [taylor]: Taking taylor expansion of -1 in re 1.266 * [backup-simplify]: Simplify -1 into -1 1.266 * [taylor]: Taking taylor expansion of re in re 1.266 * [backup-simplify]: Simplify 0 into 0 1.266 * [backup-simplify]: Simplify 1 into 1 1.267 * [backup-simplify]: Simplify (/ -1 1) into -1 1.267 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.267 * [taylor]: Taking taylor expansion of -1 in re 1.267 * [backup-simplify]: Simplify -1 into -1 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 (* (/ -1 im) (/ -1 im)) in re 1.267 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.267 * [taylor]: Taking taylor expansion of -1 in re 1.267 * [backup-simplify]: Simplify -1 into -1 1.267 * [taylor]: Taking taylor expansion of im in re 1.267 * [backup-simplify]: Simplify im into im 1.267 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.267 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.267 * [taylor]: Taking taylor expansion of -1 in re 1.267 * [backup-simplify]: Simplify -1 into -1 1.267 * [taylor]: Taking taylor expansion of im in re 1.267 * [backup-simplify]: Simplify im into im 1.267 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.267 * [backup-simplify]: Simplify (* -1 -1) into 1 1.268 * [backup-simplify]: Simplify (+ 1 0) into 1 1.268 * [backup-simplify]: Simplify (sqrt 1) into 1 1.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.269 * [backup-simplify]: Simplify (+ (* -1 0) (* 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 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.270 * [taylor]: Taking taylor expansion of re in re 1.270 * [backup-simplify]: Simplify 0 into 0 1.270 * [backup-simplify]: Simplify 1 into 1 1.270 * [backup-simplify]: Simplify (/ 1 1) into 1 1.270 * [backup-simplify]: Simplify (- 1) into -1 1.270 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.270 * [taylor]: Taking taylor expansion of 0 in im 1.270 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.271 * [backup-simplify]: Simplify (- 0) into 0 1.271 * [backup-simplify]: Simplify (+ 0 0) into 0 1.271 * [taylor]: Taking taylor expansion of 0 in im 1.271 * [backup-simplify]: Simplify 0 into 0 1.271 * [backup-simplify]: Simplify 0 into 0 1.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.272 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.273 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.273 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.273 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.274 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.274 * [backup-simplify]: Simplify (- 0) into 0 1.275 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.275 * [taylor]: Taking taylor expansion of 1/2 in im 1.275 * [backup-simplify]: Simplify 1/2 into 1/2 1.275 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.275 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.275 * [taylor]: Taking taylor expansion of im in im 1.275 * [backup-simplify]: Simplify 0 into 0 1.275 * [backup-simplify]: Simplify 1 into 1 1.275 * [backup-simplify]: Simplify (* 1 1) into 1 1.275 * [backup-simplify]: Simplify (/ 1 1) into 1 1.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.276 * [backup-simplify]: Simplify 0 into 0 1.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.277 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.278 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.278 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.278 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.278 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.278 * [backup-simplify]: Simplify (+ 0 0) into 0 1.279 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.279 * [backup-simplify]: Simplify (- 0) into 0 1.280 * [backup-simplify]: Simplify (+ 0 0) into 0 1.280 * [taylor]: Taking taylor expansion of 0 in im 1.280 * [backup-simplify]: Simplify 0 into 0 1.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.281 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * [backup-simplify]: Simplify 0 into 0 1.281 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 2) 1.281 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 1.281 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 1.281 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.282 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.282 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.282 * [taylor]: Taking taylor expansion of (* re re) in im 1.282 * [taylor]: Taking taylor expansion of re in im 1.282 * [backup-simplify]: Simplify re into re 1.282 * [taylor]: Taking taylor expansion of re in im 1.282 * [backup-simplify]: Simplify re into re 1.282 * [taylor]: Taking taylor expansion of (* im im) in im 1.282 * [taylor]: Taking taylor expansion of im in im 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [taylor]: Taking taylor expansion of im in im 1.282 * [backup-simplify]: Simplify 0 into 0 1.282 * [backup-simplify]: Simplify 1 into 1 1.282 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.282 * [backup-simplify]: Simplify (* 0 0) into 0 1.282 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.282 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.282 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.283 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.283 * [backup-simplify]: Simplify (+ 0 0) into 0 1.283 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.283 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.283 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.283 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.283 * [taylor]: Taking taylor expansion of (* re re) in re 1.283 * [taylor]: Taking taylor expansion of re in re 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 1 into 1 1.283 * [taylor]: Taking taylor expansion of re in re 1.283 * [backup-simplify]: Simplify 0 into 0 1.283 * [backup-simplify]: Simplify 1 into 1 1.283 * [taylor]: Taking taylor expansion of (* im im) in re 1.283 * [taylor]: Taking taylor expansion of im in re 1.283 * [backup-simplify]: Simplify im into im 1.283 * [taylor]: Taking taylor expansion of im in re 1.283 * [backup-simplify]: Simplify im into im 1.283 * [backup-simplify]: Simplify (* 0 0) into 0 1.284 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.284 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.284 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.284 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.284 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.284 * [backup-simplify]: Simplify (+ 0 0) into 0 1.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.284 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.284 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.285 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.285 * [taylor]: Taking taylor expansion of (* re re) in re 1.285 * [taylor]: Taking taylor expansion of re in re 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 1 into 1 1.285 * [taylor]: Taking taylor expansion of re in re 1.285 * [backup-simplify]: Simplify 0 into 0 1.285 * [backup-simplify]: Simplify 1 into 1 1.285 * [taylor]: Taking taylor expansion of (* im im) in re 1.285 * [taylor]: Taking taylor expansion of im in re 1.285 * [backup-simplify]: Simplify im into im 1.285 * [taylor]: Taking taylor expansion of im in re 1.285 * [backup-simplify]: Simplify im into im 1.285 * [backup-simplify]: Simplify (* 0 0) into 0 1.285 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.285 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.285 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.285 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.286 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.286 * [backup-simplify]: Simplify (+ 0 0) into 0 1.286 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.286 * [taylor]: Taking taylor expansion of im in im 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 1 into 1 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [taylor]: Taking taylor expansion of 0 in im 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 0 into 0 1.286 * [backup-simplify]: Simplify 1 into 1 1.286 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.287 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.287 * [backup-simplify]: Simplify (+ 1 0) into 1 1.287 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.287 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.287 * [taylor]: Taking taylor expansion of 1/2 in im 1.287 * [backup-simplify]: Simplify 1/2 into 1/2 1.287 * [taylor]: Taking taylor expansion of im in im 1.287 * [backup-simplify]: Simplify 0 into 0 1.287 * [backup-simplify]: Simplify 1 into 1 1.288 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.288 * [backup-simplify]: Simplify 0 into 0 1.294 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.294 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.295 * [backup-simplify]: Simplify (+ 0 0) into 0 1.295 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.295 * [taylor]: Taking taylor expansion of 0 in im 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify 0 into 0 1.295 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.296 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 1.296 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 1.296 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.296 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.296 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.296 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.296 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.296 * [taylor]: Taking taylor expansion of re in im 1.296 * [backup-simplify]: Simplify re into re 1.296 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.296 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.296 * [taylor]: Taking taylor expansion of re in im 1.296 * [backup-simplify]: Simplify re into re 1.296 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.296 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.296 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.296 * [taylor]: Taking taylor expansion of im in im 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.296 * [backup-simplify]: Simplify (/ 1 1) into 1 1.296 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.296 * [taylor]: Taking taylor expansion of im in im 1.296 * [backup-simplify]: Simplify 0 into 0 1.296 * [backup-simplify]: Simplify 1 into 1 1.297 * [backup-simplify]: Simplify (/ 1 1) into 1 1.297 * [backup-simplify]: Simplify (* 1 1) into 1 1.297 * [backup-simplify]: Simplify (+ 0 1) into 1 1.297 * [backup-simplify]: Simplify (sqrt 1) into 1 1.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.298 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.299 * [backup-simplify]: Simplify (+ 0 0) into 0 1.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.299 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.299 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.299 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.299 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.299 * [taylor]: Taking taylor expansion of re in re 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 1 into 1 1.299 * [backup-simplify]: Simplify (/ 1 1) into 1 1.299 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.299 * [taylor]: Taking taylor expansion of re in re 1.299 * [backup-simplify]: Simplify 0 into 0 1.299 * [backup-simplify]: Simplify 1 into 1 1.300 * [backup-simplify]: Simplify (/ 1 1) into 1 1.300 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.300 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.300 * [taylor]: Taking taylor expansion of im in re 1.300 * [backup-simplify]: Simplify im into im 1.300 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.300 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.300 * [taylor]: Taking taylor expansion of im in re 1.300 * [backup-simplify]: Simplify im into im 1.300 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.300 * [backup-simplify]: Simplify (* 1 1) into 1 1.300 * [backup-simplify]: Simplify (+ 1 0) into 1 1.301 * [backup-simplify]: Simplify (sqrt 1) into 1 1.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.302 * [backup-simplify]: Simplify (+ 0 0) into 0 1.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.302 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.303 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.303 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.303 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.303 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.303 * [taylor]: Taking taylor expansion of re in re 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (/ 1 1) into 1 1.303 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.303 * [taylor]: Taking taylor expansion of re in re 1.303 * [backup-simplify]: Simplify 0 into 0 1.303 * [backup-simplify]: Simplify 1 into 1 1.303 * [backup-simplify]: Simplify (/ 1 1) into 1 1.303 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.303 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.303 * [taylor]: Taking taylor expansion of im in re 1.303 * [backup-simplify]: Simplify im into im 1.303 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.303 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.303 * [taylor]: Taking taylor expansion of im in re 1.303 * [backup-simplify]: Simplify im into im 1.303 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.304 * [backup-simplify]: Simplify (* 1 1) into 1 1.304 * [backup-simplify]: Simplify (+ 1 0) into 1 1.304 * [backup-simplify]: Simplify (sqrt 1) into 1 1.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.305 * [backup-simplify]: Simplify (+ 0 0) into 0 1.306 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.306 * [taylor]: Taking taylor expansion of 1 in im 1.306 * [backup-simplify]: Simplify 1 into 1 1.306 * [taylor]: Taking taylor expansion of 0 in im 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.307 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.308 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.308 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.308 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.308 * [taylor]: Taking taylor expansion of 1/2 in im 1.308 * [backup-simplify]: Simplify 1/2 into 1/2 1.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.308 * [taylor]: Taking taylor expansion of im in im 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.309 * [backup-simplify]: Simplify (* 1 1) into 1 1.309 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.311 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.311 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.312 * [backup-simplify]: Simplify (+ 0 0) into 0 1.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.312 * [taylor]: Taking taylor expansion of 0 in im 1.312 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.313 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify 0 into 0 1.313 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.313 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 1.313 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 1.314 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.314 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.314 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.314 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.314 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.314 * [taylor]: Taking taylor expansion of -1 in im 1.314 * [backup-simplify]: Simplify -1 into -1 1.314 * [taylor]: Taking taylor expansion of re in im 1.314 * [backup-simplify]: Simplify re into re 1.314 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.314 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.314 * [taylor]: Taking taylor expansion of -1 in im 1.314 * [backup-simplify]: Simplify -1 into -1 1.314 * [taylor]: Taking taylor expansion of re in im 1.314 * [backup-simplify]: Simplify re into re 1.314 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.314 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.314 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.314 * [taylor]: Taking taylor expansion of -1 in im 1.314 * [backup-simplify]: Simplify -1 into -1 1.314 * [taylor]: Taking taylor expansion of im in im 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.314 * [backup-simplify]: Simplify (/ -1 1) into -1 1.314 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.314 * [taylor]: Taking taylor expansion of -1 in im 1.314 * [backup-simplify]: Simplify -1 into -1 1.314 * [taylor]: Taking taylor expansion of im in im 1.314 * [backup-simplify]: Simplify 0 into 0 1.314 * [backup-simplify]: Simplify 1 into 1 1.315 * [backup-simplify]: Simplify (/ -1 1) into -1 1.315 * [backup-simplify]: Simplify (* -1 -1) into 1 1.315 * [backup-simplify]: Simplify (+ 0 1) into 1 1.315 * [backup-simplify]: Simplify (sqrt 1) into 1 1.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.316 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.316 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.317 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.317 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.317 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.317 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.317 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.317 * [taylor]: Taking taylor expansion of -1 in re 1.317 * [backup-simplify]: Simplify -1 into -1 1.317 * [taylor]: Taking taylor expansion of re in re 1.317 * [backup-simplify]: Simplify 0 into 0 1.317 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify (/ -1 1) into -1 1.318 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.318 * [taylor]: Taking taylor expansion of -1 in re 1.318 * [backup-simplify]: Simplify -1 into -1 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.318 * [backup-simplify]: Simplify (/ -1 1) into -1 1.318 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.318 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.318 * [taylor]: Taking taylor expansion of -1 in re 1.318 * [backup-simplify]: Simplify -1 into -1 1.318 * [taylor]: Taking taylor expansion of im in re 1.318 * [backup-simplify]: Simplify im into im 1.318 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.318 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.318 * [taylor]: Taking taylor expansion of -1 in re 1.318 * [backup-simplify]: Simplify -1 into -1 1.318 * [taylor]: Taking taylor expansion of im in re 1.318 * [backup-simplify]: Simplify im into im 1.318 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.318 * [backup-simplify]: Simplify (* -1 -1) into 1 1.319 * [backup-simplify]: Simplify (+ 1 0) into 1 1.319 * [backup-simplify]: Simplify (sqrt 1) into 1 1.319 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.320 * [backup-simplify]: Simplify (+ 0 0) into 0 1.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.321 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.321 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.321 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.321 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.321 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.321 * [taylor]: Taking taylor expansion of -1 in re 1.321 * [backup-simplify]: Simplify -1 into -1 1.321 * [taylor]: Taking taylor expansion of re in re 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (/ -1 1) into -1 1.321 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.321 * [taylor]: Taking taylor expansion of -1 in re 1.321 * [backup-simplify]: Simplify -1 into -1 1.321 * [taylor]: Taking taylor expansion of re in re 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (/ -1 1) into -1 1.321 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.321 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.322 * [taylor]: Taking taylor expansion of -1 in re 1.322 * [backup-simplify]: Simplify -1 into -1 1.322 * [taylor]: Taking taylor expansion of im in re 1.322 * [backup-simplify]: Simplify im into im 1.322 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.322 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.322 * [taylor]: Taking taylor expansion of -1 in re 1.322 * [backup-simplify]: Simplify -1 into -1 1.322 * [taylor]: Taking taylor expansion of im in re 1.322 * [backup-simplify]: Simplify im into im 1.322 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.322 * [backup-simplify]: Simplify (* -1 -1) into 1 1.322 * [backup-simplify]: Simplify (+ 1 0) into 1 1.322 * [backup-simplify]: Simplify (sqrt 1) into 1 1.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.324 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.324 * [backup-simplify]: Simplify (+ 0 0) into 0 1.324 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.324 * [taylor]: Taking taylor expansion of 1 in im 1.324 * [backup-simplify]: Simplify 1 into 1 1.324 * [taylor]: Taking taylor expansion of 0 in im 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 1 into 1 1.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.326 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.326 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.327 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.327 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.327 * [taylor]: Taking taylor expansion of 1/2 in im 1.327 * [backup-simplify]: Simplify 1/2 into 1/2 1.327 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.327 * [taylor]: Taking taylor expansion of im in im 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 (/ 1/2 1) into 1/2 1.328 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.328 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 0 into 0 1.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.329 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.330 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.330 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.330 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.331 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.331 * [taylor]: Taking taylor expansion of 0 in im 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.332 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 2 2) 1.332 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im)) 1.332 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 1.332 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.332 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.332 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.332 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.332 * [taylor]: Taking taylor expansion of (* re re) in im 1.332 * [taylor]: Taking taylor expansion of re in im 1.332 * [backup-simplify]: Simplify re into re 1.332 * [taylor]: Taking taylor expansion of re in im 1.332 * [backup-simplify]: Simplify re into re 1.332 * [taylor]: Taking taylor expansion of (* im im) in im 1.332 * [taylor]: Taking taylor expansion of im in im 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 1 into 1 1.332 * [taylor]: Taking taylor expansion of im in im 1.332 * [backup-simplify]: Simplify 0 into 0 1.332 * [backup-simplify]: Simplify 1 into 1 1.332 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.333 * [backup-simplify]: Simplify (* 0 0) into 0 1.333 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.333 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.333 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.333 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.333 * [backup-simplify]: Simplify (+ 0 0) into 0 1.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.334 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 1.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 1.334 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.334 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.334 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.334 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.334 * [taylor]: Taking taylor expansion of (* re re) in re 1.334 * [taylor]: Taking taylor expansion of re in re 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [taylor]: Taking taylor expansion of re in re 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [taylor]: Taking taylor expansion of (* im im) in re 1.334 * [taylor]: Taking taylor expansion of im in re 1.334 * [backup-simplify]: Simplify im into im 1.334 * [taylor]: Taking taylor expansion of im in re 1.334 * [backup-simplify]: Simplify im into im 1.334 * [backup-simplify]: Simplify (* 0 0) into 0 1.334 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.334 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.334 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.335 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.335 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.335 * [backup-simplify]: Simplify (+ 0 0) into 0 1.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.335 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 1.335 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.335 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.335 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.335 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.335 * [taylor]: Taking taylor expansion of (* re re) in re 1.335 * [taylor]: Taking taylor expansion of re in re 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [taylor]: Taking taylor expansion of re in re 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [taylor]: Taking taylor expansion of (* im im) in re 1.335 * [taylor]: Taking taylor expansion of im in re 1.335 * [backup-simplify]: Simplify im into im 1.335 * [taylor]: Taking taylor expansion of im in re 1.335 * [backup-simplify]: Simplify im into im 1.336 * [backup-simplify]: Simplify (* 0 0) into 0 1.336 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.336 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.336 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.336 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.336 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.337 * [backup-simplify]: Simplify (+ 0 0) into 0 1.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.337 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 1.337 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.337 * [taylor]: Taking taylor expansion of im in im 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [backup-simplify]: Simplify (sqrt 0) into 0 1.338 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [taylor]: Taking taylor expansion of 0 in im 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.338 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.339 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.339 * [backup-simplify]: Simplify (+ 1 0) into 1 1.339 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.340 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 1.340 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 1.340 * [taylor]: Taking taylor expansion of 1/4 in im 1.340 * [backup-simplify]: Simplify 1/4 into 1/4 1.340 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.340 * [taylor]: Taking taylor expansion of (pow im 3) in im 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 1.340 * [backup-simplify]: Simplify (* 1 1) into 1 1.340 * [backup-simplify]: Simplify (* 1 1) into 1 1.341 * [backup-simplify]: Simplify (/ 1 1) into 1 1.341 * [backup-simplify]: Simplify (sqrt 0) into 0 1.342 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.342 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.343 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.344 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.345 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.346 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.346 * [backup-simplify]: Simplify 0 into 0 1.347 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.347 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.348 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2))))))) 1.348 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im))) 1.348 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.348 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.348 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.348 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.348 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.348 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.348 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.348 * [taylor]: Taking taylor expansion of re in im 1.348 * [backup-simplify]: Simplify re into re 1.348 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.348 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.348 * [taylor]: Taking taylor expansion of re in im 1.348 * [backup-simplify]: Simplify re into re 1.348 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.348 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.348 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.348 * [taylor]: Taking taylor expansion of im in im 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify (/ 1 1) into 1 1.349 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.349 * [taylor]: Taking taylor expansion of im in im 1.349 * [backup-simplify]: Simplify 0 into 0 1.349 * [backup-simplify]: Simplify 1 into 1 1.349 * [backup-simplify]: Simplify (/ 1 1) into 1 1.349 * [backup-simplify]: Simplify (* 1 1) into 1 1.349 * [backup-simplify]: Simplify (+ 0 1) into 1 1.349 * [backup-simplify]: Simplify (sqrt 1) into 1 1.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.351 * [backup-simplify]: Simplify (+ 0 0) into 0 1.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.352 * [backup-simplify]: Simplify (sqrt 0) into 0 1.352 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.352 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.352 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.353 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.353 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.353 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 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 (/ 1 1) into 1 1.353 * [taylor]: Taking taylor expansion of (/ 1 re) in re 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 (/ 1 1) into 1 1.353 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.353 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.353 * [taylor]: Taking taylor expansion of im in re 1.353 * [backup-simplify]: Simplify im into im 1.353 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.353 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.353 * [taylor]: Taking taylor expansion of im in re 1.353 * [backup-simplify]: Simplify im into im 1.353 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.354 * [backup-simplify]: Simplify (* 1 1) into 1 1.354 * [backup-simplify]: Simplify (+ 1 0) into 1 1.354 * [backup-simplify]: Simplify (sqrt 1) into 1 1.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.355 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.355 * [backup-simplify]: Simplify (+ 0 0) into 0 1.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.356 * [backup-simplify]: Simplify (sqrt 0) into 0 1.357 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.357 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.357 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.357 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.357 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.357 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (/ 1 1) into 1 1.357 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [backup-simplify]: Simplify (/ 1 1) into 1 1.357 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [backup-simplify]: Simplify im into im 1.358 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.358 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.358 * [taylor]: Taking taylor expansion of im in re 1.358 * [backup-simplify]: Simplify im into im 1.358 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.358 * [backup-simplify]: Simplify (* 1 1) into 1 1.358 * [backup-simplify]: Simplify (+ 1 0) into 1 1.358 * [backup-simplify]: Simplify (sqrt 1) into 1 1.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.360 * [backup-simplify]: Simplify (+ 0 0) into 0 1.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.360 * [backup-simplify]: Simplify (sqrt 0) into 0 1.361 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.361 * [taylor]: Taking taylor expansion of 0 in im 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [taylor]: Taking taylor expansion of +nan.0 in im 1.361 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.361 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.363 * [taylor]: Taking taylor expansion of +nan.0 in im 1.363 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.363 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.364 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.364 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.364 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.365 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.366 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 1.366 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.366 * [taylor]: Taking taylor expansion of +nan.0 in im 1.366 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.366 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.366 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.366 * [taylor]: Taking taylor expansion of 1/2 in im 1.366 * [backup-simplify]: Simplify 1/2 into 1/2 1.366 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.366 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.366 * [taylor]: Taking taylor expansion of im in im 1.366 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (* 1 1) into 1 1.367 * [backup-simplify]: Simplify (/ 1 1) into 1 1.367 * [taylor]: Taking taylor expansion of +nan.0 in im 1.367 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.367 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.368 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.368 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.368 * [backup-simplify]: Simplify (+ 0 0) into 0 1.369 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.369 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.369 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.371 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.371 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.371 * [backup-simplify]: Simplify (+ 0 0) into 0 1.372 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.372 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 1.372 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.372 * [taylor]: Taking taylor expansion of +nan.0 in im 1.372 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.372 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.372 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.372 * [taylor]: Taking taylor expansion of +nan.0 in im 1.372 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.373 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.373 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.373 * [taylor]: Taking taylor expansion of im in im 1.373 * [backup-simplify]: Simplify 0 into 0 1.373 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (* 1 1) into 1 1.373 * [backup-simplify]: Simplify (/ 1 1) into 1 1.373 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.373 * [taylor]: Taking taylor expansion of +nan.0 in im 1.373 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.374 * [backup-simplify]: Simplify (+ 0 0) into 0 1.375 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 1.375 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.375 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.376 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.377 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.377 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.377 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.379 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 1.379 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.379 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 1.379 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im))) 1.380 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.380 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.380 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.380 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.380 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.380 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.380 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.380 * [taylor]: Taking taylor expansion of -1 in im 1.380 * [backup-simplify]: Simplify -1 into -1 1.380 * [taylor]: Taking taylor expansion of re in im 1.380 * [backup-simplify]: Simplify re into re 1.380 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.380 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.380 * [taylor]: Taking taylor expansion of -1 in im 1.380 * [backup-simplify]: Simplify -1 into -1 1.380 * [taylor]: Taking taylor expansion of re in im 1.380 * [backup-simplify]: Simplify re into re 1.380 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.380 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.380 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.380 * [taylor]: Taking taylor expansion of -1 in im 1.380 * [backup-simplify]: Simplify -1 into -1 1.380 * [taylor]: Taking taylor expansion of im in im 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.380 * [backup-simplify]: Simplify (/ -1 1) into -1 1.380 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.380 * [taylor]: Taking taylor expansion of -1 in im 1.380 * [backup-simplify]: Simplify -1 into -1 1.380 * [taylor]: Taking taylor expansion of im in im 1.380 * [backup-simplify]: Simplify 0 into 0 1.380 * [backup-simplify]: Simplify 1 into 1 1.381 * [backup-simplify]: Simplify (/ -1 1) into -1 1.381 * [backup-simplify]: Simplify (* -1 -1) into 1 1.381 * [backup-simplify]: Simplify (+ 0 1) into 1 1.381 * [backup-simplify]: Simplify (sqrt 1) into 1 1.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.389 * [backup-simplify]: Simplify (sqrt 0) into 0 1.389 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.389 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.389 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.390 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.390 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.390 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.390 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.390 * [taylor]: Taking taylor expansion of -1 in re 1.390 * [backup-simplify]: Simplify -1 into -1 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [backup-simplify]: Simplify (/ -1 1) into -1 1.390 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.390 * [taylor]: Taking taylor expansion of -1 in re 1.390 * [backup-simplify]: Simplify -1 into -1 1.390 * [taylor]: Taking taylor expansion of re in re 1.390 * [backup-simplify]: Simplify 0 into 0 1.390 * [backup-simplify]: Simplify 1 into 1 1.390 * [backup-simplify]: Simplify (/ -1 1) into -1 1.390 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.390 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.390 * [taylor]: Taking taylor expansion of -1 in re 1.390 * [backup-simplify]: Simplify -1 into -1 1.390 * [taylor]: Taking taylor expansion of im in re 1.390 * [backup-simplify]: Simplify im into im 1.390 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.390 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.390 * [taylor]: Taking taylor expansion of -1 in re 1.390 * [backup-simplify]: Simplify -1 into -1 1.390 * [taylor]: Taking taylor expansion of im in re 1.391 * [backup-simplify]: Simplify im into im 1.391 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.391 * [backup-simplify]: Simplify (* -1 -1) into 1 1.391 * [backup-simplify]: Simplify (+ 1 0) into 1 1.391 * [backup-simplify]: Simplify (sqrt 1) into 1 1.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify (+ (* -1 0) (* 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 * [backup-simplify]: Simplify (sqrt 0) into 0 1.394 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.394 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.394 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.394 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.394 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.394 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.394 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.394 * [taylor]: Taking taylor expansion of -1 in re 1.394 * [backup-simplify]: Simplify -1 into -1 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 1.395 * [backup-simplify]: Simplify (/ -1 1) into -1 1.395 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.395 * [taylor]: Taking taylor expansion of -1 in re 1.395 * [backup-simplify]: Simplify -1 into -1 1.395 * [taylor]: Taking taylor expansion of re in re 1.395 * [backup-simplify]: Simplify 0 into 0 1.395 * [backup-simplify]: Simplify 1 into 1 1.395 * [backup-simplify]: Simplify (/ -1 1) into -1 1.395 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.395 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.395 * [taylor]: Taking taylor expansion of -1 in re 1.395 * [backup-simplify]: Simplify -1 into -1 1.395 * [taylor]: Taking taylor expansion of im in re 1.395 * [backup-simplify]: Simplify im into im 1.395 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.395 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.395 * [taylor]: Taking taylor expansion of -1 in re 1.395 * [backup-simplify]: Simplify -1 into -1 1.395 * [taylor]: Taking taylor expansion of im in re 1.395 * [backup-simplify]: Simplify im into im 1.395 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.395 * [backup-simplify]: Simplify (* -1 -1) into 1 1.396 * [backup-simplify]: Simplify (+ 1 0) into 1 1.396 * [backup-simplify]: Simplify (sqrt 1) into 1 1.396 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.397 * [backup-simplify]: Simplify (+ 0 0) into 0 1.398 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.398 * [backup-simplify]: Simplify (sqrt 0) into 0 1.399 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.399 * [taylor]: Taking taylor expansion of 0 in im 1.399 * [backup-simplify]: Simplify 0 into 0 1.399 * [taylor]: Taking taylor expansion of +nan.0 in im 1.399 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.399 * [backup-simplify]: Simplify 0 into 0 1.400 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.400 * [taylor]: Taking taylor expansion of +nan.0 in im 1.400 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.400 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.400 * [backup-simplify]: Simplify 0 into 0 1.401 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.402 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.402 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.402 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.403 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.404 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 1.404 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.404 * [taylor]: Taking taylor expansion of +nan.0 in im 1.404 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.404 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.404 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.404 * [taylor]: Taking taylor expansion of 1/2 in im 1.404 * [backup-simplify]: Simplify 1/2 into 1/2 1.404 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.404 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.404 * [taylor]: Taking taylor expansion of im in im 1.404 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify 1 into 1 1.405 * [backup-simplify]: Simplify (* 1 1) into 1 1.405 * [backup-simplify]: Simplify (/ 1 1) into 1 1.405 * [taylor]: Taking taylor expansion of +nan.0 in im 1.405 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.406 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.406 * [backup-simplify]: Simplify (+ 0 0) into 0 1.406 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.407 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.407 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.407 * [backup-simplify]: Simplify 0 into 0 1.407 * [backup-simplify]: Simplify 0 into 0 1.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.409 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.409 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.409 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.409 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.409 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.411 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 1.411 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.411 * [taylor]: Taking taylor expansion of +nan.0 in im 1.411 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.411 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.411 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.411 * [taylor]: Taking taylor expansion of +nan.0 in im 1.411 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.411 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.411 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.411 * [taylor]: Taking taylor expansion of im in im 1.411 * [backup-simplify]: Simplify 0 into 0 1.411 * [backup-simplify]: Simplify 1 into 1 1.411 * [backup-simplify]: Simplify (* 1 1) into 1 1.411 * [backup-simplify]: Simplify (/ 1 1) into 1 1.411 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.411 * [taylor]: Taking taylor expansion of +nan.0 in im 1.411 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.412 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.412 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.413 * [backup-simplify]: Simplify (+ 0 0) into 0 1.413 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 1.413 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.413 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.415 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.416 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.417 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 1.417 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.418 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 1.418 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2 1) 1.418 * [backup-simplify]: Simplify (sqrt (hypot re im)) into (sqrt (hypot re im)) 1.418 * [approximate]: Taking taylor expansion of (sqrt (hypot re im)) in (re im) around 0 1.418 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in im 1.418 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.418 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.418 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.418 * [taylor]: Taking taylor expansion of (* re re) in im 1.418 * [taylor]: Taking taylor expansion of re in im 1.418 * [backup-simplify]: Simplify re into re 1.418 * [taylor]: Taking taylor expansion of re in im 1.418 * [backup-simplify]: Simplify re into re 1.418 * [taylor]: Taking taylor expansion of (* im im) in im 1.418 * [taylor]: Taking taylor expansion of im in im 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [taylor]: Taking taylor expansion of im in im 1.418 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify 1 into 1 1.418 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.418 * [backup-simplify]: Simplify (* 0 0) into 0 1.418 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.419 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.419 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.419 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.419 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.419 * [backup-simplify]: Simplify (sqrt re) into (sqrt re) 1.419 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt re))) into 0 1.419 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.419 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.419 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.419 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.419 * [taylor]: Taking taylor expansion of (* re re) 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 * [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 * [taylor]: Taking taylor expansion of (* im im) in re 1.420 * [taylor]: Taking taylor expansion of im in re 1.420 * [backup-simplify]: Simplify im into im 1.420 * [taylor]: Taking taylor expansion of im in re 1.420 * [backup-simplify]: Simplify im into im 1.420 * [backup-simplify]: Simplify (* 0 0) into 0 1.420 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.420 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.420 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.420 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.420 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.421 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.421 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 1.421 * [taylor]: Taking taylor expansion of (sqrt (hypot re im)) in re 1.421 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.421 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.421 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.421 * [taylor]: Taking taylor expansion of (* re re) in re 1.421 * [taylor]: Taking taylor expansion of re in re 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [taylor]: Taking taylor expansion of re in re 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [taylor]: Taking taylor expansion of (* im im) in re 1.421 * [taylor]: Taking taylor expansion of im in re 1.421 * [backup-simplify]: Simplify im into im 1.421 * [taylor]: Taking taylor expansion of im in re 1.421 * [backup-simplify]: Simplify im into im 1.421 * [backup-simplify]: Simplify (* 0 0) into 0 1.421 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.422 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.422 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.422 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.422 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.422 * [backup-simplify]: Simplify (+ 0 0) into 0 1.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.422 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 1.422 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt im))) into 0 1.422 * [taylor]: Taking taylor expansion of (sqrt im) in im 1.423 * [taylor]: Taking taylor expansion of im in im 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [backup-simplify]: Simplify (sqrt 0) into 0 1.424 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.424 * [backup-simplify]: Simplify 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 +nan.0 into +nan.0 1.424 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.424 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.425 * [backup-simplify]: Simplify (+ 1 0) into 1 1.425 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.426 * [backup-simplify]: Simplify (/ (- (/ 1/2 im) (pow 0 2) (+)) (* 2 (sqrt im))) into (* 1/4 (sqrt (/ 1 (pow im 3)))) 1.426 * [taylor]: Taking taylor expansion of (* 1/4 (sqrt (/ 1 (pow im 3)))) in im 1.426 * [taylor]: Taking taylor expansion of 1/4 in im 1.426 * [backup-simplify]: Simplify 1/4 into 1/4 1.426 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow im 3))) in im 1.426 * [taylor]: Taking taylor expansion of (/ 1 (pow im 3)) in im 1.426 * [taylor]: Taking taylor expansion of (pow im 3) in im 1.426 * [taylor]: Taking taylor expansion of im in im 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (* 1 1) into 1 1.426 * [backup-simplify]: Simplify (* 1 1) into 1 1.426 * [backup-simplify]: Simplify (/ 1 1) into 1 1.427 * [backup-simplify]: Simplify (sqrt 0) into 0 1.427 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.428 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.430 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.431 * [backup-simplify]: Simplify (+ (* 1/4 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 1.431 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.431 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.433 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.433 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* im 1) 2)) (+ (* (- +nan.0) (pow (* 1 re) 2)) (* +nan.0 (* im 1)))) into (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2))))))) 1.434 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 re) (/ 1 im))) into (sqrt (hypot (/ 1 re) (/ 1 im))) 1.434 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in (re im) around 0 1.434 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in im 1.434 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.434 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.434 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.434 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.434 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.434 * [taylor]: Taking taylor expansion of re in im 1.434 * [backup-simplify]: Simplify re into re 1.434 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.434 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.434 * [taylor]: Taking taylor expansion of re in im 1.434 * [backup-simplify]: Simplify re into re 1.434 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.434 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.434 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.434 * [taylor]: Taking taylor expansion of im in im 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify (/ 1 1) into 1 1.434 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.434 * [taylor]: Taking taylor expansion of im in im 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify (/ 1 1) into 1 1.435 * [backup-simplify]: Simplify (* 1 1) into 1 1.435 * [backup-simplify]: Simplify (+ 0 1) into 1 1.435 * [backup-simplify]: Simplify (sqrt 1) into 1 1.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.437 * [backup-simplify]: Simplify (+ 0 0) into 0 1.437 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.437 * [backup-simplify]: Simplify (sqrt 0) into 0 1.438 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.438 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.438 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.438 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.438 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.438 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.438 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.438 * [taylor]: Taking taylor expansion of re in re 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.438 * [backup-simplify]: Simplify (/ 1 1) into 1 1.438 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.438 * [taylor]: Taking taylor expansion of re in re 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify (/ 1 1) into 1 1.439 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.439 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.439 * [taylor]: Taking taylor expansion of im in re 1.439 * [backup-simplify]: Simplify im into im 1.439 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.439 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.439 * [taylor]: Taking taylor expansion of im in re 1.439 * [backup-simplify]: Simplify im into im 1.439 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.439 * [backup-simplify]: Simplify (* 1 1) into 1 1.439 * [backup-simplify]: Simplify (+ 1 0) into 1 1.439 * [backup-simplify]: Simplify (sqrt 1) into 1 1.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.441 * [backup-simplify]: Simplify (sqrt 0) into 0 1.442 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.442 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ 1 re) (/ 1 im))) in re 1.442 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.442 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.442 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.442 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.442 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.442 * [taylor]: Taking taylor expansion of re in re 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 1 into 1 1.443 * [backup-simplify]: Simplify (/ 1 1) into 1 1.443 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.443 * [taylor]: Taking taylor expansion of re in re 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 1 into 1 1.443 * [backup-simplify]: Simplify (/ 1 1) into 1 1.443 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.443 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.443 * [taylor]: Taking taylor expansion of im in re 1.443 * [backup-simplify]: Simplify im into im 1.443 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.443 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.443 * [taylor]: Taking taylor expansion of im in re 1.443 * [backup-simplify]: Simplify im into im 1.443 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.443 * [backup-simplify]: Simplify (* 1 1) into 1 1.443 * [backup-simplify]: Simplify (+ 1 0) into 1 1.444 * [backup-simplify]: Simplify (sqrt 1) into 1 1.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.445 * [backup-simplify]: Simplify (+ 0 0) into 0 1.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.446 * [backup-simplify]: Simplify (sqrt 0) into 0 1.446 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.446 * [taylor]: Taking taylor expansion of 0 in im 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [taylor]: Taking taylor expansion of +nan.0 in im 1.447 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.447 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.448 * [taylor]: Taking taylor expansion of +nan.0 in im 1.448 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.448 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.448 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.450 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.450 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.450 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.451 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.452 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 1.452 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.452 * [taylor]: Taking taylor expansion of +nan.0 in im 1.452 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.452 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.452 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.452 * [taylor]: Taking taylor expansion of 1/2 in im 1.452 * [backup-simplify]: Simplify 1/2 into 1/2 1.452 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.452 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.452 * [taylor]: Taking taylor expansion of im in im 1.452 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify 1 into 1 1.452 * [backup-simplify]: Simplify (* 1 1) into 1 1.453 * [backup-simplify]: Simplify (/ 1 1) into 1 1.453 * [taylor]: Taking taylor expansion of +nan.0 in im 1.453 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.453 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.454 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.454 * [backup-simplify]: Simplify (+ 0 0) into 0 1.454 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.455 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.455 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.457 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.457 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.457 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.458 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 1.458 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.458 * [taylor]: Taking taylor expansion of +nan.0 in im 1.458 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.458 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.458 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.458 * [taylor]: Taking taylor expansion of +nan.0 in im 1.458 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.458 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.458 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.458 * [taylor]: Taking taylor expansion of im in im 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.459 * [backup-simplify]: Simplify (* 1 1) into 1 1.459 * [backup-simplify]: Simplify (/ 1 1) into 1 1.459 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.459 * [taylor]: Taking taylor expansion of +nan.0 in im 1.459 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.460 * [backup-simplify]: Simplify (+ 0 0) into 0 1.460 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 1.461 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.461 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.463 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.463 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.463 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.465 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 1.465 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.465 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 re)) 2)) (+ (* +nan.0 (* 1 (/ 1 re))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 1.465 * [backup-simplify]: Simplify (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) into (sqrt (hypot (/ -1 re) (/ -1 im))) 1.465 * [approximate]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in (re im) around 0 1.465 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in im 1.465 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.465 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.466 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.466 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.466 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.466 * [taylor]: Taking taylor expansion of -1 in im 1.466 * [backup-simplify]: Simplify -1 into -1 1.466 * [taylor]: Taking taylor expansion of re in im 1.466 * [backup-simplify]: Simplify re into re 1.466 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.466 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.466 * [taylor]: Taking taylor expansion of -1 in im 1.466 * [backup-simplify]: Simplify -1 into -1 1.466 * [taylor]: Taking taylor expansion of re in im 1.466 * [backup-simplify]: Simplify re into re 1.466 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.466 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.466 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.466 * [taylor]: Taking taylor expansion of -1 in im 1.466 * [backup-simplify]: Simplify -1 into -1 1.466 * [taylor]: Taking taylor expansion of im in im 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (/ -1 1) into -1 1.466 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.466 * [taylor]: Taking taylor expansion of -1 in im 1.466 * [backup-simplify]: Simplify -1 into -1 1.466 * [taylor]: Taking taylor expansion of im in im 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 1 into 1 1.466 * [backup-simplify]: Simplify (/ -1 1) into -1 1.467 * [backup-simplify]: Simplify (* -1 -1) into 1 1.467 * [backup-simplify]: Simplify (+ 0 1) into 1 1.467 * [backup-simplify]: Simplify (sqrt 1) into 1 1.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.468 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.468 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.469 * [backup-simplify]: Simplify (sqrt 0) into 0 1.470 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.470 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.470 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.470 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.470 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.470 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.470 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.470 * [taylor]: Taking taylor expansion of -1 in re 1.470 * [backup-simplify]: Simplify -1 into -1 1.470 * [taylor]: Taking taylor expansion of re in re 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.471 * [backup-simplify]: Simplify (/ -1 1) into -1 1.471 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.471 * [taylor]: Taking taylor expansion of -1 in re 1.471 * [backup-simplify]: Simplify -1 into -1 1.471 * [taylor]: Taking taylor expansion of re in re 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [backup-simplify]: Simplify (/ -1 1) into -1 1.471 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.471 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.471 * [taylor]: Taking taylor expansion of -1 in re 1.471 * [backup-simplify]: Simplify -1 into -1 1.471 * [taylor]: Taking taylor expansion of im in re 1.471 * [backup-simplify]: Simplify im into im 1.471 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.471 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.471 * [taylor]: Taking taylor expansion of -1 in re 1.471 * [backup-simplify]: Simplify -1 into -1 1.471 * [taylor]: Taking taylor expansion of im in re 1.471 * [backup-simplify]: Simplify im into im 1.471 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.471 * [backup-simplify]: Simplify (* -1 -1) into 1 1.472 * [backup-simplify]: Simplify (+ 1 0) into 1 1.472 * [backup-simplify]: Simplify (sqrt 1) into 1 1.472 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.473 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.473 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.473 * [backup-simplify]: Simplify (+ 0 0) into 0 1.474 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.474 * [backup-simplify]: Simplify (sqrt 0) into 0 1.475 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.475 * [taylor]: Taking taylor expansion of (sqrt (hypot (/ -1 re) (/ -1 im))) in re 1.475 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.475 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.475 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.475 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.475 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.475 * [taylor]: Taking taylor expansion of -1 in re 1.475 * [backup-simplify]: Simplify -1 into -1 1.475 * [taylor]: Taking taylor expansion of re in re 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [backup-simplify]: Simplify (/ -1 1) into -1 1.475 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.475 * [taylor]: Taking taylor expansion of -1 in re 1.475 * [backup-simplify]: Simplify -1 into -1 1.475 * [taylor]: Taking taylor expansion of re in re 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 1 into 1 1.475 * [backup-simplify]: Simplify (/ -1 1) into -1 1.475 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.475 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.475 * [taylor]: Taking taylor expansion of -1 in re 1.475 * [backup-simplify]: Simplify -1 into -1 1.475 * [taylor]: Taking taylor expansion of im in re 1.475 * [backup-simplify]: Simplify im into im 1.476 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.476 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.476 * [taylor]: Taking taylor expansion of -1 in re 1.476 * [backup-simplify]: Simplify -1 into -1 1.476 * [taylor]: Taking taylor expansion of im in re 1.476 * [backup-simplify]: Simplify im into im 1.476 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.476 * [backup-simplify]: Simplify (* -1 -1) into 1 1.476 * [backup-simplify]: Simplify (+ 1 0) into 1 1.476 * [backup-simplify]: Simplify (sqrt 1) into 1 1.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.478 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.483 * [backup-simplify]: Simplify (+ 0 0) into 0 1.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.484 * [backup-simplify]: Simplify (sqrt 0) into 0 1.485 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.485 * [taylor]: Taking taylor expansion of 0 in im 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [taylor]: Taking taylor expansion of +nan.0 in im 1.485 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.485 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.486 * [taylor]: Taking taylor expansion of +nan.0 in im 1.486 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.486 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.486 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.487 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.488 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.488 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.489 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.490 * [backup-simplify]: Simplify (/ (- (/ 1/2 (pow im 2)) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 1.490 * [taylor]: Taking taylor expansion of (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) in im 1.490 * [taylor]: Taking taylor expansion of +nan.0 in im 1.490 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.490 * [taylor]: Taking taylor expansion of (- (* 1/2 (/ 1 (pow im 2))) +nan.0) in im 1.490 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.490 * [taylor]: Taking taylor expansion of 1/2 in im 1.490 * [backup-simplify]: Simplify 1/2 into 1/2 1.490 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.490 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.490 * [taylor]: Taking taylor expansion of im in im 1.490 * [backup-simplify]: Simplify 0 into 0 1.490 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (* 1 1) into 1 1.491 * [backup-simplify]: Simplify (/ 1 1) into 1 1.491 * [taylor]: Taking taylor expansion of +nan.0 in im 1.491 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.492 * [backup-simplify]: Simplify (+ 0 0) into 0 1.492 * [backup-simplify]: Simplify (* 1/2 1) into 1/2 1.493 * [backup-simplify]: Simplify (+ 1/2 0) into 1/2 1.493 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1/2)) into 0 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 0 into 0 1.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.495 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.495 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.495 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.496 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 1.496 * [taylor]: Taking taylor expansion of (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) in im 1.496 * [taylor]: Taking taylor expansion of +nan.0 in im 1.496 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.496 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)) in im 1.496 * [taylor]: Taking taylor expansion of (* +nan.0 (/ 1 (pow im 2))) in im 1.496 * [taylor]: Taking taylor expansion of +nan.0 in im 1.496 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.496 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.496 * [taylor]: Taking taylor expansion of im in im 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 1 into 1 1.497 * [backup-simplify]: Simplify (* 1 1) into 1 1.497 * [backup-simplify]: Simplify (/ 1 1) into 1 1.497 * [taylor]: Taking taylor expansion of (- +nan.0) in im 1.497 * [taylor]: Taking taylor expansion of +nan.0 in im 1.497 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 1)) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.499 * [backup-simplify]: Simplify (* +nan.0 1) into +nan.0 1.499 * [backup-simplify]: Simplify (+ +nan.0 0) into (- +nan.0) 1.499 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (- +nan.0))) into 0 1.499 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.501 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.501 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.501 * [backup-simplify]: Simplify (+ 0 (- +nan.0)) into (- +nan.0) 1.503 * [backup-simplify]: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* 0 0) (* 0 1/2))) into (- +nan.0) 1.503 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 1.504 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 (/ 1 (- re))) 2)) (+ (* +nan.0 (* 1 (/ 1 (- re)))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 1.504 * * * [progress]: simplifying candidates 1.505 * [simplify]: Simplifying: (expm1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (exp re) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (exp (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3)) (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (- re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt 1) (sqrt (hypot re im)) (/ 1 2) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (expm1 (sqrt (hypot re im))) (log1p (sqrt (hypot re im))) (log (sqrt (hypot re im))) (exp (sqrt (hypot re im))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (cbrt (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (cbrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (sqrt 1) (sqrt (hypot re im)) (/ 1 2) (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im))) (+ re im) (* 2 re) 0 im re (* -1 re) (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2))))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (- (+ (* +nan.0 (pow re 2)) (- (+ (* +nan.0 im) (- (* +nan.0 (pow im 2))))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (- (+ (* +nan.0 (/ 1 (pow re 2))) (- (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) 1.505 * [simplify]: Sending expressions to egg_math: (expm1 (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (log1p (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (exp h1) (exp (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (log (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (exp (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))))) (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (* (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (sqrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (sqrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (+ (pow h1 3) (pow (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) 3)) (+ (* h1 h1) (- (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))))) (- (* h1 h1) (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (- h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (expm1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (log1p (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot h1 h0) (hypot h1 h0)) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (hypot h1 h0) (hypot h1 h0)) (+ 1 1) (+ (log (sqrt (hypot h1 h0))) (log (sqrt (hypot h1 h0)))) (log (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (exp (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0)))) (* (cbrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (cbrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (cbrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (hypot h1 h0) (hypot h1 h0)) (sqrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (sqrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (* (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0)))) (* (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0))))) (* (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0)))) (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (cbrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* 1 1) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot h1 h0)) (* (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0))))) (* (sqrt (hypot h1 h0)) (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))))) (* (sqrt (hypot h1 h0)) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (hypot h1 h0)) (sqrt 1)) (* (sqrt (hypot h1 h0)) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (hypot h1 h0)) 1) (* (cbrt (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (expm1 (sqrt (hypot h1 h0))) (log1p (sqrt (hypot h1 h0))) (log (sqrt (hypot h1 h0))) (exp (sqrt (hypot h1 h0))) (* (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0)))) (cbrt (sqrt (hypot h1 h0))) (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (sqrt (cbrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0))) (sqrt 1) (sqrt (hypot h1 h0)) (/ 1 2) (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0))) (expm1 (sqrt (hypot h1 h0))) (log1p (sqrt (hypot h1 h0))) (log (sqrt (hypot h1 h0))) (exp (sqrt (hypot h1 h0))) (* (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0)))) (cbrt (sqrt (hypot h1 h0))) (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (sqrt (cbrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0))) (sqrt 1) (sqrt (hypot h1 h0)) (/ 1 2) (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0))) (+ h1 h0) (* 2 h1) 0 h0 h1 (* -1 h1) (- (+ (* h2 (pow h1 2)) (- (+ (* h2 h0) (- (* h2 (pow h0 2))))))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))) (- (+ (* h2 (pow h1 2)) (- (+ (* h2 h0) (- (* h2 (pow h0 2))))))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))) (- (+ (* h2 (/ 1 (pow h1 2))) (- (+ (* h2 (/ 1 h1)) (- h2))))) 1.509 * * [simplify]: iteration 0 : 224 enodes (cost 457 ) 1.514 * * [simplify]: iteration 1 : 848 enodes (cost 384 ) 1.536 * * [simplify]: iteration 2 : 5001 enodes (cost 355 ) 1.539 * * * [progress]: adding candidates to table 1.773 * * [progress]: iteration 4 / 4 1.773 * * * [progress]: picking best candidate 1.793 * * * * [pick]: Picked # 1.793 * * * [progress]: localizing error 1.809 * * * [progress]: generating rewritten candidates 1.809 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1) 1.819 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 2 1 2 1) 1.825 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1 1 1) 1.830 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2 1 2) 1.845 * * * [progress]: generating series expansions 1.845 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1) 1.846 * [backup-simplify]: Simplify (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) into (+ re (hypot re im)) 1.846 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.846 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.846 * [taylor]: Taking taylor expansion of re in im 1.846 * [backup-simplify]: Simplify re into re 1.846 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.846 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.846 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.846 * [taylor]: Taking taylor expansion of (* re re) in im 1.846 * [taylor]: Taking taylor expansion of re in im 1.846 * [backup-simplify]: Simplify re into re 1.846 * [taylor]: Taking taylor expansion of re in im 1.846 * [backup-simplify]: Simplify re into re 1.846 * [taylor]: Taking taylor expansion of (* im im) in im 1.846 * [taylor]: Taking taylor expansion of im in im 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [taylor]: Taking taylor expansion of im in im 1.846 * [backup-simplify]: Simplify 0 into 0 1.846 * [backup-simplify]: Simplify 1 into 1 1.846 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.847 * [backup-simplify]: Simplify (* 0 0) into 0 1.847 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.847 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.847 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.847 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.847 * [backup-simplify]: Simplify (+ 0 0) into 0 1.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.847 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.847 * [taylor]: Taking taylor expansion of re in re 1.847 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.848 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.848 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.848 * [taylor]: Taking taylor expansion of (* re re) in re 1.848 * [taylor]: Taking taylor expansion of re in re 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [taylor]: Taking taylor expansion of re in re 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [taylor]: Taking taylor expansion of (* im im) in re 1.848 * [taylor]: Taking taylor expansion of im in re 1.848 * [backup-simplify]: Simplify im into im 1.848 * [taylor]: Taking taylor expansion of im in re 1.848 * [backup-simplify]: Simplify im into im 1.848 * [backup-simplify]: Simplify (* 0 0) into 0 1.848 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.848 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.848 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.849 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.849 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.849 * [backup-simplify]: Simplify (+ 0 0) into 0 1.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.849 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.849 * [taylor]: Taking taylor expansion of re in re 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.849 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.849 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.849 * [taylor]: Taking taylor expansion of (* re re) in re 1.849 * [taylor]: Taking taylor expansion of re in re 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [taylor]: Taking taylor expansion of re in re 1.849 * [backup-simplify]: Simplify 0 into 0 1.849 * [backup-simplify]: Simplify 1 into 1 1.849 * [taylor]: Taking taylor expansion of (* im im) in re 1.849 * [taylor]: Taking taylor expansion of im in re 1.849 * [backup-simplify]: Simplify im into im 1.849 * [taylor]: Taking taylor expansion of im in re 1.849 * [backup-simplify]: Simplify im into im 1.850 * [backup-simplify]: Simplify (* 0 0) into 0 1.850 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.850 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.850 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.850 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.850 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.850 * [backup-simplify]: Simplify (+ 0 0) into 0 1.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.851 * [backup-simplify]: Simplify (+ 0 im) into im 1.851 * [taylor]: Taking taylor expansion of im in im 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify (+ 1 0) into 1 1.851 * [taylor]: Taking taylor expansion of 1 in im 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.852 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.852 * [backup-simplify]: Simplify (+ 1 0) into 1 1.852 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.852 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.852 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.853 * [taylor]: Taking taylor expansion of 1/2 in im 1.853 * [backup-simplify]: Simplify 1/2 into 1/2 1.853 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.853 * [taylor]: Taking taylor expansion of im in im 1.853 * [backup-simplify]: Simplify 0 into 0 1.853 * [backup-simplify]: Simplify 1 into 1 1.853 * [backup-simplify]: Simplify (/ 1 1) into 1 1.853 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.855 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.855 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.855 * [backup-simplify]: Simplify (+ 0 0) into 0 1.855 * [taylor]: Taking taylor expansion of 0 in im 1.855 * [backup-simplify]: Simplify 0 into 0 1.855 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.856 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify 0 into 0 1.856 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.857 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1.857 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.857 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.857 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.857 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.857 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.857 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.857 * [taylor]: Taking taylor expansion of re in im 1.857 * [backup-simplify]: Simplify re into re 1.857 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.857 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.857 * [taylor]: Taking taylor expansion of re in im 1.857 * [backup-simplify]: Simplify re into re 1.857 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.857 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.857 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.857 * [taylor]: Taking taylor expansion of im in im 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.857 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.857 * [taylor]: Taking taylor expansion of im in im 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.858 * [backup-simplify]: Simplify (* 1 1) into 1 1.858 * [backup-simplify]: Simplify (+ 0 1) into 1 1.858 * [backup-simplify]: Simplify (sqrt 1) into 1 1.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.860 * [backup-simplify]: Simplify (+ 0 0) into 0 1.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.860 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.860 * [taylor]: Taking taylor expansion of re in im 1.860 * [backup-simplify]: Simplify re into re 1.860 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.860 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.860 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.860 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.860 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.860 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.861 * [taylor]: Taking taylor expansion of re in re 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.861 * [backup-simplify]: Simplify (/ 1 1) into 1 1.861 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.861 * [taylor]: Taking taylor expansion of re in re 1.861 * [backup-simplify]: Simplify 0 into 0 1.861 * [backup-simplify]: Simplify 1 into 1 1.861 * [backup-simplify]: Simplify (/ 1 1) into 1 1.861 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.861 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.861 * [taylor]: Taking taylor expansion of im in re 1.861 * [backup-simplify]: Simplify im into im 1.861 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.861 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.861 * [taylor]: Taking taylor expansion of im in re 1.861 * [backup-simplify]: Simplify im into im 1.861 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.861 * [backup-simplify]: Simplify (* 1 1) into 1 1.862 * [backup-simplify]: Simplify (+ 1 0) into 1 1.862 * [backup-simplify]: Simplify (sqrt 1) into 1 1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.863 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.863 * [backup-simplify]: Simplify (+ 0 0) into 0 1.864 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.864 * [taylor]: Taking taylor expansion of re in re 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (/ 1 1) into 1 1.864 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.864 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.864 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.864 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.864 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.864 * [taylor]: Taking taylor expansion of re in re 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.864 * [backup-simplify]: Simplify (/ 1 1) into 1 1.864 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.864 * [taylor]: Taking taylor expansion of re in re 1.864 * [backup-simplify]: Simplify 0 into 0 1.864 * [backup-simplify]: Simplify 1 into 1 1.865 * [backup-simplify]: Simplify (/ 1 1) into 1 1.865 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.865 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.865 * [taylor]: Taking taylor expansion of im in re 1.865 * [backup-simplify]: Simplify im into im 1.865 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.865 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.865 * [taylor]: Taking taylor expansion of im in re 1.865 * [backup-simplify]: Simplify im into im 1.865 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.865 * [backup-simplify]: Simplify (* 1 1) into 1 1.865 * [backup-simplify]: Simplify (+ 1 0) into 1 1.866 * [backup-simplify]: Simplify (sqrt 1) into 1 1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.867 * [backup-simplify]: Simplify (+ 0 0) into 0 1.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.867 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.867 * [taylor]: Taking taylor expansion of re in re 1.867 * [backup-simplify]: Simplify 0 into 0 1.867 * [backup-simplify]: Simplify 1 into 1 1.868 * [backup-simplify]: Simplify (/ 1 1) into 1 1.868 * [backup-simplify]: Simplify (+ 1 1) into 2 1.868 * [taylor]: Taking taylor expansion of 2 in im 1.868 * [backup-simplify]: Simplify 2 into 2 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.869 * [backup-simplify]: Simplify (+ 0 0) into 0 1.869 * [taylor]: Taking taylor expansion of 0 in im 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 2 into 2 1.869 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.870 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.870 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.871 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.872 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.872 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.872 * [taylor]: Taking taylor expansion of 1/2 in im 1.872 * [backup-simplify]: Simplify 1/2 into 1/2 1.872 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.872 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.872 * [taylor]: Taking taylor expansion of im in im 1.872 * [backup-simplify]: Simplify 0 into 0 1.872 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (* 1 1) into 1 1.872 * [backup-simplify]: Simplify (/ 1 1) into 1 1.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.875 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.875 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.875 * [backup-simplify]: Simplify (+ 0 0) into 0 1.876 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (+ 0 0) into 0 1.876 * [taylor]: Taking taylor expansion of 0 in im 1.876 * [backup-simplify]: Simplify 0 into 0 1.877 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.877 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.878 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify 0 into 0 1.878 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.878 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1.878 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.878 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.878 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.878 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.878 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.878 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.878 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.878 * [taylor]: Taking taylor expansion of -1 in im 1.878 * [backup-simplify]: Simplify -1 into -1 1.878 * [taylor]: Taking taylor expansion of re in im 1.878 * [backup-simplify]: Simplify re into re 1.879 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.879 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.879 * [taylor]: Taking taylor expansion of -1 in im 1.879 * [backup-simplify]: Simplify -1 into -1 1.879 * [taylor]: Taking taylor expansion of re in im 1.879 * [backup-simplify]: Simplify re into re 1.879 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.879 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.879 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.879 * [taylor]: Taking taylor expansion of -1 in im 1.879 * [backup-simplify]: Simplify -1 into -1 1.879 * [taylor]: Taking taylor expansion of im in im 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (/ -1 1) into -1 1.879 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.879 * [taylor]: Taking taylor expansion of -1 in im 1.879 * [backup-simplify]: Simplify -1 into -1 1.879 * [taylor]: Taking taylor expansion of im in im 1.879 * [backup-simplify]: Simplify 0 into 0 1.879 * [backup-simplify]: Simplify 1 into 1 1.879 * [backup-simplify]: Simplify (/ -1 1) into -1 1.880 * [backup-simplify]: Simplify (* -1 -1) into 1 1.880 * [backup-simplify]: Simplify (+ 0 1) into 1 1.880 * [backup-simplify]: Simplify (sqrt 1) into 1 1.880 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.881 * [backup-simplify]: Simplify (+ 0 0) into 0 1.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.882 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.882 * [taylor]: Taking taylor expansion of re in im 1.882 * [backup-simplify]: Simplify re into re 1.882 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.882 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.882 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.882 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.882 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.882 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.882 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.882 * [taylor]: Taking taylor expansion of -1 in re 1.882 * [backup-simplify]: Simplify -1 into -1 1.882 * [taylor]: Taking taylor expansion of re in re 1.882 * [backup-simplify]: Simplify 0 into 0 1.882 * [backup-simplify]: Simplify 1 into 1 1.882 * [backup-simplify]: Simplify (/ -1 1) into -1 1.882 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.883 * [taylor]: Taking taylor expansion of -1 in re 1.883 * [backup-simplify]: Simplify -1 into -1 1.883 * [taylor]: Taking taylor expansion of re in re 1.883 * [backup-simplify]: Simplify 0 into 0 1.883 * [backup-simplify]: Simplify 1 into 1 1.883 * [backup-simplify]: Simplify (/ -1 1) into -1 1.883 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.883 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.883 * [taylor]: Taking taylor expansion of -1 in re 1.883 * [backup-simplify]: Simplify -1 into -1 1.883 * [taylor]: Taking taylor expansion of im in re 1.883 * [backup-simplify]: Simplify im into im 1.883 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.883 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.883 * [taylor]: Taking taylor expansion of -1 in re 1.883 * [backup-simplify]: Simplify -1 into -1 1.883 * [taylor]: Taking taylor expansion of im in re 1.883 * [backup-simplify]: Simplify im into im 1.883 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.883 * [backup-simplify]: Simplify (* -1 -1) into 1 1.884 * [backup-simplify]: Simplify (+ 1 0) into 1 1.884 * [backup-simplify]: Simplify (sqrt 1) into 1 1.884 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.885 * [backup-simplify]: Simplify (+ 0 0) into 0 1.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.886 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.886 * [taylor]: Taking taylor expansion of re in re 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (/ 1 1) into 1 1.886 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.886 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.886 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.886 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.886 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.886 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.886 * [taylor]: Taking taylor expansion of -1 in re 1.886 * [backup-simplify]: Simplify -1 into -1 1.886 * [taylor]: Taking taylor expansion of re in re 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [backup-simplify]: Simplify (/ -1 1) into -1 1.886 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.886 * [taylor]: Taking taylor expansion of -1 in re 1.886 * [backup-simplify]: Simplify -1 into -1 1.887 * [taylor]: Taking taylor expansion of re in re 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (/ -1 1) into -1 1.887 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.887 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.887 * [taylor]: Taking taylor expansion of -1 in re 1.887 * [backup-simplify]: Simplify -1 into -1 1.887 * [taylor]: Taking taylor expansion of im in re 1.887 * [backup-simplify]: Simplify im into im 1.887 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.887 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.887 * [taylor]: Taking taylor expansion of -1 in re 1.887 * [backup-simplify]: Simplify -1 into -1 1.887 * [taylor]: Taking taylor expansion of im in re 1.887 * [backup-simplify]: Simplify im into im 1.887 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.887 * [backup-simplify]: Simplify (* -1 -1) into 1 1.887 * [backup-simplify]: Simplify (+ 1 0) into 1 1.888 * [backup-simplify]: Simplify (sqrt 1) into 1 1.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.893 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.894 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.894 * [backup-simplify]: Simplify (+ 0 0) into 0 1.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.894 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.894 * [taylor]: Taking taylor expansion of re in re 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.895 * [backup-simplify]: Simplify (- 1) into -1 1.895 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.895 * [taylor]: Taking taylor expansion of 0 in im 1.895 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (- 0) into 0 1.896 * [backup-simplify]: Simplify (+ 0 0) into 0 1.896 * [taylor]: Taking taylor expansion of 0 in im 1.896 * [backup-simplify]: Simplify 0 into 0 1.896 * [backup-simplify]: Simplify 0 into 0 1.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.898 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.898 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.899 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (- 0) into 0 1.899 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.900 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.900 * [taylor]: Taking taylor expansion of 1/2 in im 1.900 * [backup-simplify]: Simplify 1/2 into 1/2 1.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.900 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.900 * [taylor]: Taking taylor expansion of im in im 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 1 into 1 1.900 * [backup-simplify]: Simplify (* 1 1) into 1 1.900 * [backup-simplify]: Simplify (/ 1 1) into 1 1.900 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.901 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 0 into 0 1.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.903 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.903 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.903 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.903 * [backup-simplify]: Simplify (+ 0 0) into 0 1.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.904 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.904 * [backup-simplify]: Simplify (- 0) into 0 1.905 * [backup-simplify]: Simplify (+ 0 0) into 0 1.905 * [taylor]: Taking taylor expansion of 0 in im 1.905 * [backup-simplify]: Simplify 0 into 0 1.905 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.906 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * [backup-simplify]: Simplify 0 into 0 1.906 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 2 1 2 1) 1.906 * [backup-simplify]: Simplify (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) into (+ re (hypot re im)) 1.906 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.906 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.906 * [taylor]: Taking taylor expansion of re in im 1.906 * [backup-simplify]: Simplify re into re 1.906 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.907 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.907 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.907 * [taylor]: Taking taylor expansion of (* re re) in im 1.907 * [taylor]: Taking taylor expansion of re in im 1.907 * [backup-simplify]: Simplify re into re 1.907 * [taylor]: Taking taylor expansion of re in im 1.907 * [backup-simplify]: Simplify re into re 1.907 * [taylor]: Taking taylor expansion of (* im im) in im 1.907 * [taylor]: Taking taylor expansion of im in im 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [taylor]: Taking taylor expansion of im in im 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.907 * [backup-simplify]: Simplify (* 0 0) into 0 1.907 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.907 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.907 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.908 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.908 * [backup-simplify]: Simplify (+ 0 0) into 0 1.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.908 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.908 * [taylor]: Taking taylor expansion of re in re 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.908 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.908 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.908 * [taylor]: Taking taylor expansion of (* re re) in re 1.908 * [taylor]: Taking taylor expansion of re in re 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [taylor]: Taking taylor expansion of re in re 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [taylor]: Taking taylor expansion of (* im im) in re 1.908 * [taylor]: Taking taylor expansion of im in re 1.908 * [backup-simplify]: Simplify im into im 1.908 * [taylor]: Taking taylor expansion of im in re 1.908 * [backup-simplify]: Simplify im into im 1.908 * [backup-simplify]: Simplify (* 0 0) into 0 1.909 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.909 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.909 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.909 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.909 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.910 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.910 * [taylor]: Taking taylor expansion of re in re 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.910 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.910 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.910 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.910 * [taylor]: Taking taylor expansion of (* re re) in re 1.910 * [taylor]: Taking taylor expansion of re in re 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.910 * [taylor]: Taking taylor expansion of re in re 1.910 * [backup-simplify]: Simplify 0 into 0 1.910 * [backup-simplify]: Simplify 1 into 1 1.910 * [taylor]: Taking taylor expansion of (* im im) in re 1.910 * [taylor]: Taking taylor expansion of im in re 1.910 * [backup-simplify]: Simplify im into im 1.910 * [taylor]: Taking taylor expansion of im in re 1.910 * [backup-simplify]: Simplify im into im 1.910 * [backup-simplify]: Simplify (* 0 0) into 0 1.910 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.910 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.910 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.911 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.911 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.911 * [backup-simplify]: Simplify (+ 0 0) into 0 1.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.911 * [backup-simplify]: Simplify (+ 0 im) into im 1.911 * [taylor]: Taking taylor expansion of im in im 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify (+ 1 0) into 1 1.912 * [taylor]: Taking taylor expansion of 1 in im 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.912 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.913 * [backup-simplify]: Simplify (+ 1 0) into 1 1.913 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.913 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.913 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.913 * [taylor]: Taking taylor expansion of 1/2 in im 1.913 * [backup-simplify]: Simplify 1/2 into 1/2 1.913 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.913 * [taylor]: Taking taylor expansion of im in im 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (/ 1 1) into 1 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.915 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.915 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.916 * [backup-simplify]: Simplify (+ 0 0) into 0 1.916 * [taylor]: Taking taylor expansion of 0 in im 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify 0 into 0 1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.917 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify 0 into 0 1.917 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.917 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1.917 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.917 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.917 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.917 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.917 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.917 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.917 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.917 * [taylor]: Taking taylor expansion of re in im 1.917 * [backup-simplify]: Simplify re into re 1.917 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.917 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.917 * [taylor]: Taking taylor expansion of re in im 1.917 * [backup-simplify]: Simplify re into re 1.917 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.918 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.918 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.918 * [taylor]: Taking taylor expansion of im in im 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.918 * [taylor]: Taking taylor expansion of im in im 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.918 * [backup-simplify]: Simplify (* 1 1) into 1 1.919 * [backup-simplify]: Simplify (+ 0 1) into 1 1.919 * [backup-simplify]: Simplify (sqrt 1) into 1 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.920 * [backup-simplify]: Simplify (+ 0 0) into 0 1.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.921 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.921 * [taylor]: Taking taylor expansion of re in im 1.921 * [backup-simplify]: Simplify re into re 1.921 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.921 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.921 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.921 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.921 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.921 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.921 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.921 * [taylor]: Taking taylor expansion of re in re 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (/ 1 1) into 1 1.921 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.921 * [taylor]: Taking taylor expansion of re in re 1.921 * [backup-simplify]: Simplify 0 into 0 1.921 * [backup-simplify]: Simplify 1 into 1 1.921 * [backup-simplify]: Simplify (/ 1 1) into 1 1.921 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.921 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.921 * [taylor]: Taking taylor expansion of im in re 1.921 * [backup-simplify]: Simplify im into im 1.921 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.921 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.921 * [taylor]: Taking taylor expansion of im in re 1.921 * [backup-simplify]: Simplify im into im 1.922 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.922 * [backup-simplify]: Simplify (* 1 1) into 1 1.922 * [backup-simplify]: Simplify (+ 1 0) into 1 1.922 * [backup-simplify]: Simplify (sqrt 1) into 1 1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.924 * [backup-simplify]: Simplify (+ 0 0) into 0 1.924 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.924 * [taylor]: Taking taylor expansion of (/ 1 re) 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 * [backup-simplify]: Simplify (/ 1 1) into 1 1.924 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.924 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.924 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.924 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.924 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.924 * [taylor]: Taking taylor expansion of (/ 1 re) 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 1.925 * [backup-simplify]: Simplify (/ 1 1) into 1 1.925 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.925 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.925 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.925 * [taylor]: Taking taylor expansion of im in re 1.925 * [backup-simplify]: Simplify im into im 1.925 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.925 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.925 * [taylor]: Taking taylor expansion of im in re 1.925 * [backup-simplify]: Simplify im into im 1.925 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.925 * [backup-simplify]: Simplify (* 1 1) into 1 1.926 * [backup-simplify]: Simplify (+ 1 0) into 1 1.926 * [backup-simplify]: Simplify (sqrt 1) into 1 1.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.928 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.928 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.928 * [taylor]: Taking taylor expansion of re in re 1.928 * [backup-simplify]: Simplify 0 into 0 1.928 * [backup-simplify]: Simplify 1 into 1 1.928 * [backup-simplify]: Simplify (/ 1 1) into 1 1.928 * [backup-simplify]: Simplify (+ 1 1) into 2 1.928 * [taylor]: Taking taylor expansion of 2 in im 1.928 * [backup-simplify]: Simplify 2 into 2 1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (+ 0 0) into 0 1.929 * [taylor]: Taking taylor expansion of 0 in im 1.929 * [backup-simplify]: Simplify 0 into 0 1.929 * [backup-simplify]: Simplify 2 into 2 1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.930 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.930 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.931 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.932 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.932 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.932 * [taylor]: Taking taylor expansion of 1/2 in im 1.932 * [backup-simplify]: Simplify 1/2 into 1/2 1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.932 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.932 * [taylor]: Taking taylor expansion of im in im 1.932 * [backup-simplify]: Simplify 0 into 0 1.932 * [backup-simplify]: Simplify 1 into 1 1.932 * [backup-simplify]: Simplify (* 1 1) into 1 1.932 * [backup-simplify]: Simplify (/ 1 1) into 1 1.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.933 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.935 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.935 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.935 * [backup-simplify]: Simplify (+ 0 0) into 0 1.936 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.937 * [taylor]: Taking taylor expansion of 0 in im 1.937 * [backup-simplify]: Simplify 0 into 0 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.938 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.938 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1.938 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.938 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.938 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.939 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.939 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.939 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.939 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.939 * [taylor]: Taking taylor expansion of -1 in im 1.939 * [backup-simplify]: Simplify -1 into -1 1.939 * [taylor]: Taking taylor expansion of re in im 1.939 * [backup-simplify]: Simplify re into re 1.939 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.939 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.939 * [taylor]: Taking taylor expansion of -1 in im 1.939 * [backup-simplify]: Simplify -1 into -1 1.939 * [taylor]: Taking taylor expansion of re in im 1.939 * [backup-simplify]: Simplify re into re 1.939 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.939 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 1.939 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.939 * [taylor]: Taking taylor expansion of -1 in im 1.939 * [backup-simplify]: Simplify -1 into -1 1.939 * [taylor]: Taking taylor expansion of im in im 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (/ -1 1) into -1 1.939 * [taylor]: Taking taylor expansion of (/ -1 im) in im 1.939 * [taylor]: Taking taylor expansion of -1 in im 1.939 * [backup-simplify]: Simplify -1 into -1 1.939 * [taylor]: Taking taylor expansion of im in im 1.939 * [backup-simplify]: Simplify 0 into 0 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (/ -1 1) into -1 1.940 * [backup-simplify]: Simplify (* -1 -1) into 1 1.940 * [backup-simplify]: Simplify (+ 0 1) into 1 1.940 * [backup-simplify]: Simplify (sqrt 1) into 1 1.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.941 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.942 * [backup-simplify]: Simplify (+ 0 0) into 0 1.942 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.942 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.942 * [taylor]: Taking taylor expansion of re in im 1.942 * [backup-simplify]: Simplify re into re 1.942 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.942 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.942 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.942 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.942 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.942 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.942 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.942 * [taylor]: Taking taylor expansion of -1 in re 1.942 * [backup-simplify]: Simplify -1 into -1 1.942 * [taylor]: Taking taylor expansion of re in re 1.942 * [backup-simplify]: Simplify 0 into 0 1.942 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (/ -1 1) into -1 1.943 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.943 * [taylor]: Taking taylor expansion of -1 in re 1.943 * [backup-simplify]: Simplify -1 into -1 1.943 * [taylor]: Taking taylor expansion of re in re 1.943 * [backup-simplify]: Simplify 0 into 0 1.943 * [backup-simplify]: Simplify 1 into 1 1.943 * [backup-simplify]: Simplify (/ -1 1) into -1 1.943 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.943 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.943 * [taylor]: Taking taylor expansion of -1 in re 1.943 * [backup-simplify]: Simplify -1 into -1 1.943 * [taylor]: Taking taylor expansion of im in re 1.943 * [backup-simplify]: Simplify im into im 1.943 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.943 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.943 * [taylor]: Taking taylor expansion of -1 in re 1.943 * [backup-simplify]: Simplify -1 into -1 1.943 * [taylor]: Taking taylor expansion of im in re 1.943 * [backup-simplify]: Simplify im into im 1.943 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.943 * [backup-simplify]: Simplify (* -1 -1) into 1 1.944 * [backup-simplify]: Simplify (+ 1 0) into 1 1.944 * [backup-simplify]: Simplify (sqrt 1) into 1 1.944 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.945 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 1.945 * [backup-simplify]: Simplify (+ 0 0) into 0 1.946 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.946 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.946 * [taylor]: Taking taylor expansion of re in re 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (/ 1 1) into 1 1.946 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 1.946 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 1.946 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.946 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 1.946 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 1.946 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.946 * [taylor]: Taking taylor expansion of -1 in re 1.946 * [backup-simplify]: Simplify -1 into -1 1.946 * [taylor]: Taking taylor expansion of re in re 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 1 into 1 1.946 * [backup-simplify]: Simplify (/ -1 1) into -1 1.947 * [taylor]: Taking taylor expansion of (/ -1 re) in re 1.947 * [taylor]: Taking taylor expansion of -1 in re 1.947 * [backup-simplify]: Simplify -1 into -1 1.947 * [taylor]: Taking taylor expansion of re in re 1.947 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify 1 into 1 1.947 * [backup-simplify]: Simplify (/ -1 1) into -1 1.947 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 1.947 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.947 * [taylor]: Taking taylor expansion of -1 in re 1.947 * [backup-simplify]: Simplify -1 into -1 1.947 * [taylor]: Taking taylor expansion of im in re 1.947 * [backup-simplify]: Simplify im into im 1.947 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.947 * [taylor]: Taking taylor expansion of (/ -1 im) in re 1.947 * [taylor]: Taking taylor expansion of -1 in re 1.947 * [backup-simplify]: Simplify -1 into -1 1.947 * [taylor]: Taking taylor expansion of im in re 1.947 * [backup-simplify]: Simplify im into im 1.947 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 1.947 * [backup-simplify]: Simplify (* -1 -1) into 1 1.948 * [backup-simplify]: Simplify (+ 1 0) into 1 1.948 * [backup-simplify]: Simplify (sqrt 1) into 1 1.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 1.949 * [backup-simplify]: Simplify (+ (* -1 0) (* 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 (/ 1 re) 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 1.950 * [backup-simplify]: Simplify (- 1) into -1 1.950 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.950 * [taylor]: Taking taylor expansion of 0 in im 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.951 * [backup-simplify]: Simplify (- 0) into 0 1.951 * [backup-simplify]: Simplify (+ 0 0) into 0 1.951 * [taylor]: Taking taylor expansion of 0 in im 1.951 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 1.953 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 1.953 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.954 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.954 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.954 * [backup-simplify]: Simplify (- 0) into 0 1.955 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.955 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.955 * [taylor]: Taking taylor expansion of 1/2 in im 1.955 * [backup-simplify]: Simplify 1/2 into 1/2 1.955 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.955 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.955 * [taylor]: Taking taylor expansion of im in im 1.955 * [backup-simplify]: Simplify 0 into 0 1.955 * [backup-simplify]: Simplify 1 into 1 1.955 * [backup-simplify]: Simplify (* 1 1) into 1 1.955 * [backup-simplify]: Simplify (/ 1 1) into 1 1.955 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.956 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.956 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.956 * [backup-simplify]: Simplify 0 into 0 1.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.957 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.958 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 1.958 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.958 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 1.958 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 1.958 * [backup-simplify]: Simplify (+ 0 0) into 0 1.959 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.959 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.960 * [backup-simplify]: Simplify (- 0) into 0 1.960 * [backup-simplify]: Simplify (+ 0 0) into 0 1.960 * [taylor]: Taking taylor expansion of 0 in im 1.960 * [backup-simplify]: Simplify 0 into 0 1.960 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.961 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.961 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * [backup-simplify]: Simplify 0 into 0 1.961 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1 1 1) 1.962 * [backup-simplify]: Simplify (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) into (+ re (hypot re im)) 1.962 * [approximate]: Taking taylor expansion of (+ re (hypot re im)) in (re im) around 0 1.962 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in im 1.962 * [taylor]: Taking taylor expansion of re in im 1.962 * [backup-simplify]: Simplify re into re 1.962 * [taylor]: Taking taylor expansion of (hypot re im) in im 1.962 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.962 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 1.962 * [taylor]: Taking taylor expansion of (* re re) in im 1.962 * [taylor]: Taking taylor expansion of re in im 1.962 * [backup-simplify]: Simplify re into re 1.962 * [taylor]: Taking taylor expansion of re in im 1.962 * [backup-simplify]: Simplify re into re 1.962 * [taylor]: Taking taylor expansion of (* im im) in im 1.962 * [taylor]: Taking taylor expansion of im in im 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [taylor]: Taking taylor expansion of im in im 1.962 * [backup-simplify]: Simplify 0 into 0 1.962 * [backup-simplify]: Simplify 1 into 1 1.962 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.962 * [backup-simplify]: Simplify (* 0 0) into 0 1.962 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.962 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.962 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.963 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.963 * [backup-simplify]: Simplify (+ 0 0) into 0 1.963 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.963 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) in re 1.963 * [taylor]: Taking taylor expansion of re in re 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [taylor]: Taking taylor expansion of (hypot re im) in re 1.963 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.963 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.963 * [taylor]: Taking taylor expansion of (* re re) in re 1.963 * [taylor]: Taking taylor expansion of re in re 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [taylor]: Taking taylor expansion of re in re 1.963 * [backup-simplify]: Simplify 0 into 0 1.963 * [backup-simplify]: Simplify 1 into 1 1.963 * [taylor]: Taking taylor expansion of (* im im) in re 1.963 * [taylor]: Taking taylor expansion of im in re 1.963 * [backup-simplify]: Simplify im into im 1.963 * [taylor]: Taking taylor expansion of im in re 1.963 * [backup-simplify]: Simplify im into im 1.964 * [backup-simplify]: Simplify (* 0 0) into 0 1.964 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.964 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.964 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.964 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 1.964 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.964 * [backup-simplify]: Simplify (+ 0 0) into 0 1.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.965 * [taylor]: Taking taylor expansion of (+ re (hypot re im)) 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 (hypot re im) in re 1.965 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 1.965 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 1.965 * [taylor]: Taking taylor expansion of (* re re) 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 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 (* im im) in re 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 im in re 1.965 * [backup-simplify]: Simplify im into im 1.965 * [backup-simplify]: Simplify (* 0 0) into 0 1.965 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.965 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.965 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.966 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 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 * [taylor]: Taking taylor expansion of im in im 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify (+ 1 0) into 1 1.967 * [taylor]: Taking taylor expansion of 1 in im 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 1.967 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.968 * [backup-simplify]: Simplify (+ 1 0) into 1 1.968 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.968 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.968 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.968 * [taylor]: Taking taylor expansion of 1/2 in im 1.968 * [backup-simplify]: Simplify 1/2 into 1/2 1.968 * [taylor]: Taking taylor expansion of (/ 1 im) 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 (/ 1 1) into 1 1.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.969 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 1.970 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.970 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.971 * [backup-simplify]: Simplify (+ 0 0) into 0 1.971 * [taylor]: Taking taylor expansion of 0 in im 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.972 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.972 * [backup-simplify]: Simplify (+ (/ 1 re) (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im))))) into (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) 1.972 * [approximate]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in (re im) around 0 1.972 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in im 1.972 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 1.972 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.972 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 1.972 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 1.972 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.972 * [taylor]: Taking taylor expansion of re in im 1.972 * [backup-simplify]: Simplify re into re 1.972 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.972 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.972 * [taylor]: Taking taylor expansion of re in im 1.972 * [backup-simplify]: Simplify re into re 1.973 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.973 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 1.973 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.973 * [taylor]: Taking taylor expansion of im in im 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.973 * [taylor]: Taking taylor expansion of im in im 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (/ 1 1) into 1 1.973 * [backup-simplify]: Simplify (* 1 1) into 1 1.974 * [backup-simplify]: Simplify (+ 0 1) into 1 1.974 * [backup-simplify]: Simplify (sqrt 1) into 1 1.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.975 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.976 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.976 * [taylor]: Taking taylor expansion of re in im 1.976 * [backup-simplify]: Simplify re into re 1.976 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.976 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.976 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.976 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.976 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.976 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.976 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.976 * [taylor]: Taking taylor expansion of re in re 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.976 * [taylor]: Taking taylor expansion of re in re 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (/ 1 1) into 1 1.976 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.976 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.976 * [taylor]: Taking taylor expansion of im in re 1.976 * [backup-simplify]: Simplify im into im 1.976 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.976 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.976 * [taylor]: Taking taylor expansion of im in re 1.976 * [backup-simplify]: Simplify im into im 1.977 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.977 * [backup-simplify]: Simplify (* 1 1) into 1 1.977 * [backup-simplify]: Simplify (+ 1 0) into 1 1.977 * [backup-simplify]: Simplify (sqrt 1) into 1 1.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.979 * [backup-simplify]: Simplify (+ 0 0) into 0 1.979 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.979 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.979 * [taylor]: Taking taylor expansion of re in re 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (/ 1 1) into 1 1.979 * [taylor]: Taking taylor expansion of (+ (hypot (/ 1 re) (/ 1 im)) (/ 1 re)) in re 1.979 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 1.979 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 1.979 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 1.979 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 1.979 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.979 * [taylor]: Taking taylor expansion of re in re 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (/ 1 1) into 1 1.980 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.980 * [taylor]: Taking taylor expansion of re in re 1.980 * [backup-simplify]: Simplify 0 into 0 1.980 * [backup-simplify]: Simplify 1 into 1 1.980 * [backup-simplify]: Simplify (/ 1 1) into 1 1.980 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 1.980 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.980 * [taylor]: Taking taylor expansion of im in re 1.980 * [backup-simplify]: Simplify im into im 1.980 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.980 * [taylor]: Taking taylor expansion of (/ 1 im) in re 1.980 * [taylor]: Taking taylor expansion of im in re 1.980 * [backup-simplify]: Simplify im into im 1.980 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.980 * [backup-simplify]: Simplify (* 1 1) into 1 1.981 * [backup-simplify]: Simplify (+ 1 0) into 1 1.981 * [backup-simplify]: Simplify (sqrt 1) into 1 1.981 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.982 * [backup-simplify]: Simplify (+ 0 0) into 0 1.982 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.983 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.983 * [taylor]: Taking taylor expansion of re in re 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (/ 1 1) into 1 1.983 * [backup-simplify]: Simplify (+ 1 1) into 2 1.983 * [taylor]: Taking taylor expansion of 2 in im 1.983 * [backup-simplify]: Simplify 2 into 2 1.989 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.989 * [backup-simplify]: Simplify (+ 0 0) into 0 1.989 * [taylor]: Taking taylor expansion of 0 in im 1.989 * [backup-simplify]: Simplify 0 into 0 1.989 * [backup-simplify]: Simplify 2 into 2 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.991 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.991 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 1.991 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 1.992 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.992 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.992 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.992 * [taylor]: Taking taylor expansion of 1/2 in im 1.992 * [backup-simplify]: Simplify 1/2 into 1/2 1.992 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.992 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.992 * [taylor]: Taking taylor expansion of im in im 1.992 * [backup-simplify]: Simplify 0 into 0 1.992 * [backup-simplify]: Simplify 1 into 1 1.993 * [backup-simplify]: Simplify (* 1 1) into 1 1.993 * [backup-simplify]: Simplify (/ 1 1) into 1 1.993 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.994 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.994 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.994 * [backup-simplify]: Simplify 0 into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.996 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 1.996 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 1.996 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (+ 0 0) into 0 1.997 * [taylor]: Taking taylor expansion of 0 in im 1.997 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.999 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))))) into (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) 1.999 * [approximate]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in (re im) around 0 1.999 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in im 1.999 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 1.999 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 1.999 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 1.999 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 1.999 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.999 * [taylor]: Taking taylor expansion of -1 in im 1.999 * [backup-simplify]: Simplify -1 into -1 1.999 * [taylor]: Taking taylor expansion of re in im 1.999 * [backup-simplify]: Simplify re into re 1.999 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.999 * [taylor]: Taking taylor expansion of (/ -1 re) in im 1.999 * [taylor]: Taking taylor expansion of -1 in im 1.999 * [backup-simplify]: Simplify -1 into -1 1.999 * [taylor]: Taking taylor expansion of re in im 1.999 * [backup-simplify]: Simplify re into re 1.999 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 1.999 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.000 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.000 * [taylor]: Taking taylor expansion of -1 in im 2.000 * [backup-simplify]: Simplify -1 into -1 2.000 * [taylor]: Taking taylor expansion of im in im 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (/ -1 1) into -1 2.000 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.000 * [taylor]: Taking taylor expansion of -1 in im 2.000 * [backup-simplify]: Simplify -1 into -1 2.000 * [taylor]: Taking taylor expansion of im in im 2.000 * [backup-simplify]: Simplify 0 into 0 2.000 * [backup-simplify]: Simplify 1 into 1 2.000 * [backup-simplify]: Simplify (/ -1 1) into -1 2.000 * [backup-simplify]: Simplify (* -1 -1) into 1 2.001 * [backup-simplify]: Simplify (+ 0 1) into 1 2.001 * [backup-simplify]: Simplify (sqrt 1) into 1 2.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.002 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.002 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.003 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.003 * [taylor]: Taking taylor expansion of re in im 2.003 * [backup-simplify]: Simplify re into re 2.003 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.003 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.003 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.003 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.003 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.003 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.003 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.003 * [taylor]: Taking taylor expansion of -1 in re 2.003 * [backup-simplify]: Simplify -1 into -1 2.003 * [taylor]: Taking taylor expansion of re in re 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [backup-simplify]: Simplify (/ -1 1) into -1 2.003 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.003 * [taylor]: Taking taylor expansion of -1 in re 2.003 * [backup-simplify]: Simplify -1 into -1 2.003 * [taylor]: Taking taylor expansion of re in re 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (/ -1 1) into -1 2.004 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.004 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.004 * [taylor]: Taking taylor expansion of -1 in re 2.004 * [backup-simplify]: Simplify -1 into -1 2.004 * [taylor]: Taking taylor expansion of im in re 2.004 * [backup-simplify]: Simplify im into im 2.004 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.004 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.004 * [taylor]: Taking taylor expansion of -1 in re 2.004 * [backup-simplify]: Simplify -1 into -1 2.004 * [taylor]: Taking taylor expansion of im in re 2.004 * [backup-simplify]: Simplify im into im 2.004 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.004 * [backup-simplify]: Simplify (* -1 -1) into 1 2.004 * [backup-simplify]: Simplify (+ 1 0) into 1 2.005 * [backup-simplify]: Simplify (sqrt 1) into 1 2.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.005 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.006 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.006 * [backup-simplify]: Simplify (+ 0 0) into 0 2.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.006 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.006 * [taylor]: Taking taylor expansion of re in re 2.006 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (/ 1 1) into 1 2.007 * [taylor]: Taking taylor expansion of (- (hypot (/ -1 re) (/ -1 im)) (/ 1 re)) in re 2.007 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.007 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.007 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.007 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.007 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.007 * [taylor]: Taking taylor expansion of -1 in re 2.007 * [backup-simplify]: Simplify -1 into -1 2.007 * [taylor]: Taking taylor expansion of re in re 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.007 * [backup-simplify]: Simplify (/ -1 1) into -1 2.007 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.007 * [taylor]: Taking taylor expansion of -1 in re 2.007 * [backup-simplify]: Simplify -1 into -1 2.007 * [taylor]: Taking taylor expansion of re in re 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 1 into 1 2.008 * [backup-simplify]: Simplify (/ -1 1) into -1 2.008 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.008 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.008 * [taylor]: Taking taylor expansion of -1 in re 2.008 * [backup-simplify]: Simplify -1 into -1 2.008 * [taylor]: Taking taylor expansion of im in re 2.008 * [backup-simplify]: Simplify im into im 2.008 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.008 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.008 * [taylor]: Taking taylor expansion of -1 in re 2.008 * [backup-simplify]: Simplify -1 into -1 2.008 * [taylor]: Taking taylor expansion of im in re 2.008 * [backup-simplify]: Simplify im into im 2.008 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.008 * [backup-simplify]: Simplify (* -1 -1) into 1 2.008 * [backup-simplify]: Simplify (+ 1 0) into 1 2.009 * [backup-simplify]: Simplify (sqrt 1) into 1 2.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.010 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.010 * [backup-simplify]: Simplify (+ 0 0) into 0 2.011 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.011 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.011 * [taylor]: Taking taylor expansion of re in re 2.011 * [backup-simplify]: Simplify 0 into 0 2.011 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify (/ 1 1) into 1 2.011 * [backup-simplify]: Simplify (- 1) into -1 2.011 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.011 * [taylor]: Taking taylor expansion of 0 in im 2.011 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (- 0) into 0 2.012 * [backup-simplify]: Simplify (+ 0 0) into 0 2.012 * [taylor]: Taking taylor expansion of 0 in im 2.012 * [backup-simplify]: Simplify 0 into 0 2.012 * [backup-simplify]: Simplify 0 into 0 2.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.014 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.014 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.014 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.015 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify (- 0) into 0 2.016 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.016 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.016 * [taylor]: Taking taylor expansion of 1/2 in im 2.016 * [backup-simplify]: Simplify 1/2 into 1/2 2.016 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.016 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.016 * [taylor]: Taking taylor expansion of im in im 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 1 into 1 2.016 * [backup-simplify]: Simplify (* 1 1) into 1 2.016 * [backup-simplify]: Simplify (/ 1 1) into 1 2.016 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.017 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.018 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.019 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.019 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.019 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.020 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.020 * [backup-simplify]: Simplify (- 0) into 0 2.021 * [backup-simplify]: Simplify (+ 0 0) into 0 2.021 * [taylor]: Taking taylor expansion of 0 in im 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.022 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * [backup-simplify]: Simplify 0 into 0 2.022 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2 1 2) 2.022 * [backup-simplify]: Simplify (* (sqrt (hypot re im)) (sqrt (hypot re im))) into (hypot re im) 2.022 * [approximate]: Taking taylor expansion of (hypot re im) in (re im) around 0 2.022 * [taylor]: Taking taylor expansion of (hypot re im) in im 2.023 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.023 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in im 2.023 * [taylor]: Taking taylor expansion of (* re re) in im 2.023 * [taylor]: Taking taylor expansion of re in im 2.023 * [backup-simplify]: Simplify re into re 2.023 * [taylor]: Taking taylor expansion of re in im 2.023 * [backup-simplify]: Simplify re into re 2.023 * [taylor]: Taking taylor expansion of (* im im) in im 2.023 * [taylor]: Taking taylor expansion of im in im 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [taylor]: Taking taylor expansion of im in im 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.023 * [backup-simplify]: Simplify (* 0 0) into 0 2.023 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.023 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.023 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.024 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.024 * [backup-simplify]: Simplify (+ 0 0) into 0 2.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.024 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.024 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.024 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.024 * [taylor]: Taking taylor expansion of (* re re) in re 2.024 * [taylor]: Taking taylor expansion of re in re 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [taylor]: Taking taylor expansion of re in re 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.024 * [taylor]: Taking taylor expansion of (* im im) in re 2.024 * [taylor]: Taking taylor expansion of im in re 2.024 * [backup-simplify]: Simplify im into im 2.024 * [taylor]: Taking taylor expansion of im in re 2.024 * [backup-simplify]: Simplify im into im 2.024 * [backup-simplify]: Simplify (* 0 0) into 0 2.024 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.025 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.025 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.025 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.025 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.025 * [backup-simplify]: Simplify (+ 0 0) into 0 2.025 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.025 * [taylor]: Taking taylor expansion of (hypot re im) in re 2.025 * [taylor]: Rewrote expression to (sqrt (+ (* re re) (* im im))) 2.025 * [taylor]: Taking taylor expansion of (+ (* re re) (* im im)) in re 2.025 * [taylor]: Taking taylor expansion of (* re re) in re 2.025 * [taylor]: Taking taylor expansion of re in re 2.025 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [taylor]: Taking taylor expansion of re in re 2.026 * [backup-simplify]: Simplify 0 into 0 2.026 * [backup-simplify]: Simplify 1 into 1 2.026 * [taylor]: Taking taylor expansion of (* im im) in re 2.026 * [taylor]: Taking taylor expansion of im in re 2.026 * [backup-simplify]: Simplify im into im 2.026 * [taylor]: Taking taylor expansion of im in re 2.026 * [backup-simplify]: Simplify im into im 2.026 * [backup-simplify]: Simplify (* 0 0) into 0 2.026 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.026 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.026 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.026 * [backup-simplify]: Simplify (+ (* 0 1) (* 1 0)) into 0 2.027 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.027 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.027 * [taylor]: Taking taylor expansion of im in im 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [taylor]: Taking taylor expansion of 0 in im 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 2.028 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.028 * [backup-simplify]: Simplify (+ 1 0) into 1 2.028 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.028 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.028 * [taylor]: Taking taylor expansion of 1/2 in im 2.028 * [backup-simplify]: Simplify 1/2 into 1/2 2.028 * [taylor]: Taking taylor expansion of im in im 2.028 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.029 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 2.030 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.030 * [backup-simplify]: Simplify (+ 0 0) into 0 2.031 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.031 * [taylor]: Taking taylor expansion of 0 in im 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.031 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 re) (/ 1 im))) (sqrt (hypot (/ 1 re) (/ 1 im)))) into (hypot (/ 1 re) (/ 1 im)) 2.031 * [approximate]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in (re im) around 0 2.031 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in im 2.032 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.032 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in im 2.032 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in im 2.032 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.032 * [taylor]: Taking taylor expansion of re in im 2.032 * [backup-simplify]: Simplify re into re 2.032 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.032 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.032 * [taylor]: Taking taylor expansion of re in im 2.032 * [backup-simplify]: Simplify re into re 2.032 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.032 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in im 2.032 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.032 * [taylor]: Taking taylor expansion of im in im 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.032 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.032 * [taylor]: Taking taylor expansion of im in im 2.032 * [backup-simplify]: Simplify 0 into 0 2.032 * [backup-simplify]: Simplify 1 into 1 2.032 * [backup-simplify]: Simplify (/ 1 1) into 1 2.033 * [backup-simplify]: Simplify (* 1 1) into 1 2.033 * [backup-simplify]: Simplify (+ 0 1) into 1 2.033 * [backup-simplify]: Simplify (sqrt 1) into 1 2.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.034 * [backup-simplify]: Simplify (+ 0 0) into 0 2.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.035 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.035 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.035 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.035 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.035 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.035 * [taylor]: Taking taylor expansion of re in re 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.035 * [taylor]: Taking taylor expansion of re in re 2.035 * [backup-simplify]: Simplify 0 into 0 2.035 * [backup-simplify]: Simplify 1 into 1 2.035 * [backup-simplify]: Simplify (/ 1 1) into 1 2.035 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.035 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.036 * [taylor]: Taking taylor expansion of im in re 2.036 * [backup-simplify]: Simplify im into im 2.036 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.036 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.036 * [taylor]: Taking taylor expansion of im in re 2.036 * [backup-simplify]: Simplify im into im 2.036 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.036 * [backup-simplify]: Simplify (* 1 1) into 1 2.036 * [backup-simplify]: Simplify (+ 1 0) into 1 2.036 * [backup-simplify]: Simplify (sqrt 1) into 1 2.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.038 * [backup-simplify]: Simplify (+ 0 0) into 0 2.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.038 * [taylor]: Taking taylor expansion of (hypot (/ 1 re) (/ 1 im)) in re 2.038 * [taylor]: Rewrote expression to (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) 2.038 * [taylor]: Taking taylor expansion of (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) in re 2.038 * [taylor]: Taking taylor expansion of (* (/ 1 re) (/ 1 re)) in re 2.038 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.038 * [taylor]: Taking taylor expansion of re in re 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (/ 1 1) into 1 2.039 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.039 * [taylor]: Taking taylor expansion of re in re 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (/ 1 1) into 1 2.039 * [taylor]: Taking taylor expansion of (* (/ 1 im) (/ 1 im)) in re 2.039 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.039 * [taylor]: Taking taylor expansion of im in re 2.039 * [backup-simplify]: Simplify im into im 2.039 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.039 * [taylor]: Taking taylor expansion of (/ 1 im) in re 2.039 * [taylor]: Taking taylor expansion of im in re 2.039 * [backup-simplify]: Simplify im into im 2.039 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.039 * [backup-simplify]: Simplify (* 1 1) into 1 2.039 * [backup-simplify]: Simplify (+ 1 0) into 1 2.040 * [backup-simplify]: Simplify (sqrt 1) into 1 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.041 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.041 * [backup-simplify]: Simplify (+ 0 0) into 0 2.041 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.041 * [taylor]: Taking taylor expansion of 1 in im 2.041 * [backup-simplify]: Simplify 1 into 1 2.042 * [taylor]: Taking taylor expansion of 0 in im 2.042 * [backup-simplify]: Simplify 0 into 0 2.042 * [backup-simplify]: Simplify 1 into 1 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.042 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.043 * [backup-simplify]: Simplify (* (/ 1 im) (/ 1 im)) into (/ 1 (pow im 2)) 2.043 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.044 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.044 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.044 * [taylor]: Taking taylor expansion of 1/2 in im 2.044 * [backup-simplify]: Simplify 1/2 into 1/2 2.044 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.044 * [taylor]: Taking taylor expansion of im in im 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (* 1 1) into 1 2.045 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.045 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.045 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.045 * [backup-simplify]: Simplify 0 into 0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.047 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 0 im)))) into 0 2.047 * [backup-simplify]: Simplify (+ (* (/ 1 im) 0) (* 0 (/ 1 im))) into 0 2.047 * [backup-simplify]: Simplify (+ 0 0) into 0 2.048 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.048 * [taylor]: Taking taylor expansion of 0 in im 2.048 * [backup-simplify]: Simplify 0 into 0 2.048 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.049 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify 0 into 0 2.049 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.049 * [backup-simplify]: Simplify (* (sqrt (hypot (/ 1 (- re)) (/ 1 (- im)))) (sqrt (hypot (/ 1 (- re)) (/ 1 (- im))))) into (hypot (/ -1 re) (/ -1 im)) 2.049 * [approximate]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in (re im) around 0 2.049 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in im 2.049 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.049 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in im 2.049 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in im 2.049 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.049 * [taylor]: Taking taylor expansion of -1 in im 2.049 * [backup-simplify]: Simplify -1 into -1 2.049 * [taylor]: Taking taylor expansion of re in im 2.049 * [backup-simplify]: Simplify re into re 2.049 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.049 * [taylor]: Taking taylor expansion of (/ -1 re) in im 2.049 * [taylor]: Taking taylor expansion of -1 in im 2.049 * [backup-simplify]: Simplify -1 into -1 2.049 * [taylor]: Taking taylor expansion of re in im 2.049 * [backup-simplify]: Simplify re into re 2.049 * [backup-simplify]: Simplify (/ -1 re) into (/ -1 re) 2.050 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in im 2.050 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.050 * [taylor]: Taking taylor expansion of -1 in im 2.050 * [backup-simplify]: Simplify -1 into -1 2.050 * [taylor]: Taking taylor expansion of im in im 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [backup-simplify]: Simplify (/ -1 1) into -1 2.050 * [taylor]: Taking taylor expansion of (/ -1 im) in im 2.050 * [taylor]: Taking taylor expansion of -1 in im 2.050 * [backup-simplify]: Simplify -1 into -1 2.050 * [taylor]: Taking taylor expansion of im in im 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [backup-simplify]: Simplify (/ -1 1) into -1 2.050 * [backup-simplify]: Simplify (* -1 -1) into 1 2.051 * [backup-simplify]: Simplify (+ 0 1) into 1 2.051 * [backup-simplify]: Simplify (sqrt 1) into 1 2.051 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.052 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.053 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.053 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.053 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.053 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.053 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.053 * [taylor]: Taking taylor expansion of -1 in re 2.053 * [backup-simplify]: Simplify -1 into -1 2.053 * [taylor]: Taking taylor expansion of re in re 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (/ -1 1) into -1 2.053 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.053 * [taylor]: Taking taylor expansion of -1 in re 2.053 * [backup-simplify]: Simplify -1 into -1 2.053 * [taylor]: Taking taylor expansion of re in re 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (/ -1 1) into -1 2.054 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.054 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.054 * [taylor]: Taking taylor expansion of -1 in re 2.054 * [backup-simplify]: Simplify -1 into -1 2.054 * [taylor]: Taking taylor expansion of im in re 2.054 * [backup-simplify]: Simplify im into im 2.054 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.054 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.054 * [taylor]: Taking taylor expansion of -1 in re 2.054 * [backup-simplify]: Simplify -1 into -1 2.054 * [taylor]: Taking taylor expansion of im in re 2.054 * [backup-simplify]: Simplify im into im 2.054 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.054 * [backup-simplify]: Simplify (* -1 -1) into 1 2.054 * [backup-simplify]: Simplify (+ 1 0) into 1 2.054 * [backup-simplify]: Simplify (sqrt 1) into 1 2.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.056 * [backup-simplify]: Simplify (+ 0 0) into 0 2.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.056 * [taylor]: Taking taylor expansion of (hypot (/ -1 re) (/ -1 im)) in re 2.056 * [taylor]: Rewrote expression to (sqrt (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im)))) 2.056 * [taylor]: Taking taylor expansion of (+ (* (/ -1 re) (/ -1 re)) (* (/ -1 im) (/ -1 im))) in re 2.056 * [taylor]: Taking taylor expansion of (* (/ -1 re) (/ -1 re)) in re 2.056 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.056 * [taylor]: Taking taylor expansion of -1 in re 2.056 * [backup-simplify]: Simplify -1 into -1 2.056 * [taylor]: Taking taylor expansion of re in re 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 2.057 * [taylor]: Taking taylor expansion of (/ -1 re) in re 2.057 * [taylor]: Taking taylor expansion of -1 in re 2.057 * [backup-simplify]: Simplify -1 into -1 2.057 * [taylor]: Taking taylor expansion of re in re 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 2.057 * [taylor]: Taking taylor expansion of (* (/ -1 im) (/ -1 im)) in re 2.057 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.057 * [taylor]: Taking taylor expansion of -1 in re 2.057 * [backup-simplify]: Simplify -1 into -1 2.057 * [taylor]: Taking taylor expansion of im in re 2.057 * [backup-simplify]: Simplify im into im 2.057 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.057 * [taylor]: Taking taylor expansion of (/ -1 im) in re 2.057 * [taylor]: Taking taylor expansion of -1 in re 2.057 * [backup-simplify]: Simplify -1 into -1 2.057 * [taylor]: Taking taylor expansion of im in re 2.057 * [backup-simplify]: Simplify im into im 2.057 * [backup-simplify]: Simplify (/ -1 im) into (/ -1 im) 2.058 * [backup-simplify]: Simplify (* -1 -1) into 1 2.058 * [backup-simplify]: Simplify (+ 1 0) into 1 2.058 * [backup-simplify]: Simplify (sqrt 1) into 1 2.058 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.059 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 -1)) into 0 2.060 * [backup-simplify]: Simplify (+ 0 0) into 0 2.060 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.060 * [taylor]: Taking taylor expansion of 1 in im 2.060 * [backup-simplify]: Simplify 1 into 1 2.060 * [taylor]: Taking taylor expansion of 0 in im 2.060 * [backup-simplify]: Simplify 0 into 0 2.060 * [backup-simplify]: Simplify 1 into 1 2.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.061 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.062 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 2.062 * [backup-simplify]: Simplify (* (/ -1 im) (/ -1 im)) into (/ 1 (pow im 2)) 2.062 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow im 2))) into (/ 1 (pow im 2)) 2.063 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.063 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.063 * [taylor]: Taking taylor expansion of 1/2 in im 2.063 * [backup-simplify]: Simplify 1/2 into 1/2 2.063 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.063 * [taylor]: Taking taylor expansion of im in im 2.063 * [backup-simplify]: Simplify 0 into 0 2.063 * [backup-simplify]: Simplify 1 into 1 2.063 * [backup-simplify]: Simplify (* 1 1) into 1 2.063 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.064 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.064 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 2.066 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.066 * [backup-simplify]: Simplify (- (/ 0 im) (+ (* (/ -1 im) (/ 0 im)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* (/ -1 im) 0) (* 0 (/ -1 im))) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.067 * [taylor]: Taking taylor expansion of 0 in im 2.067 * [backup-simplify]: Simplify 0 into 0 2.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.068 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify 0 into 0 2.068 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.068 * * * [progress]: simplifying candidates 2.069 * [simplify]: Simplifying: (expm1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (exp re) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (exp (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3)) (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (- re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (expm1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (exp re) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (exp (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3)) (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (- re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (expm1 (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log1p (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (exp re) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (log (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (exp (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (cbrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (* (* (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (sqrt (+ re (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (+ (pow re 3) (pow (* (sqrt (hypot re im)) (sqrt (hypot re im))) 3)) (+ (* re re) (- (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* re (* (sqrt (hypot re im)) (sqrt (hypot re im)))))) (- (* re re) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (- re (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (expm1 (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (log1p (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot re im) (hypot re im)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (hypot re im) (hypot re im)) (+ 1 1) (+ (log (sqrt (hypot re im))) (log (sqrt (hypot re im)))) (log (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (exp (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im))) (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (sqrt (hypot re im)))) (* (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im))))) (cbrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (hypot re im) (hypot re im)) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (sqrt (* (sqrt (hypot re im)) (sqrt (hypot re im)))) (* (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im)))) (* (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im)))) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (cbrt (hypot re im))) (sqrt (cbrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 1 1) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* (sqrt (sqrt (hypot re im))) (sqrt (sqrt (hypot re im)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot re im)) (* (cbrt (sqrt (hypot re im))) (cbrt (sqrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (* (cbrt (hypot re im)) (cbrt (hypot re im))))) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) (sqrt 1)) (* (sqrt (hypot re im)) (sqrt (sqrt (hypot re im)))) (* (sqrt (hypot re im)) 1) (* (cbrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (cbrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (* (sqrt (sqrt (hypot re im))) (sqrt (hypot re im))) (* (sqrt (hypot re im)) (sqrt (hypot re im))) (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 (+ re im) (* 2 re) 0 im re (* -1 re) 2.070 * [simplify]: Sending expressions to egg_math: (expm1 (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (log1p (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (exp h1) (exp (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (log (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (exp (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))))) (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (* (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (sqrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (sqrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (+ (pow h1 3) (pow (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) 3)) (+ (* h1 h1) (- (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))))) (- (* h1 h1) (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (- h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (expm1 (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (log1p (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (exp h1) (exp (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (log (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (exp (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))))) (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (* (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (sqrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (sqrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (+ (pow h1 3) (pow (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) 3)) (+ (* h1 h1) (- (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))))) (- (* h1 h1) (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (- h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (expm1 (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (log1p (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (exp h1) (exp (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (log (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (exp (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))))) (cbrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (* (* (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (sqrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (sqrt (+ h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (+ (pow h1 3) (pow (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) 3)) (+ (* h1 h1) (- (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))))) (- (* h1 h1) (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (- h1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (expm1 (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (log1p (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (+ 1/2 1/2) (+ 1/2 (/ 1 2)) (+ 1 1) (+ (/ 1 2) 1/2) (+ (/ 1 2) (/ 1 2)) (* (hypot h1 h0) (hypot h1 h0)) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (hypot h1 h0) (hypot h1 h0)) (+ 1 1) (+ (log (sqrt (hypot h1 h0))) (log (sqrt (hypot h1 h0)))) (log (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (exp (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0)))) (* (cbrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (cbrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))))) (cbrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (* (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (hypot h1 h0) (hypot h1 h0)) (sqrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (sqrt (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0)))) (* (* (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0)))) (* (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0))))) (* (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0)))) (* (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0)))) (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (cbrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt 1) (sqrt 1)) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* 1 1) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (sqrt (hypot h1 h0)))) (* 2 1/2) (* 2 1) (* 2 (/ 1 2)) (* (sqrt (hypot h1 h0)) (* (cbrt (sqrt (hypot h1 h0))) (cbrt (sqrt (hypot h1 h0))))) (* (sqrt (hypot h1 h0)) (sqrt (* (cbrt (hypot h1 h0)) (cbrt (hypot h1 h0))))) (* (sqrt (hypot h1 h0)) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (hypot h1 h0)) (sqrt 1)) (* (sqrt (hypot h1 h0)) (sqrt (sqrt (hypot h1 h0)))) (* (sqrt (hypot h1 h0)) 1) (* (cbrt (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (sqrt (cbrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (* (sqrt (sqrt (hypot h1 h0))) (sqrt (hypot h1 h0))) (* (sqrt (hypot h1 h0)) (sqrt (hypot h1 h0))) (+ h1 h0) (* 2 h1) 0 (+ h1 h0) (* 2 h1) 0 (+ h1 h0) (* 2 h1) 0 h0 h1 (* -1 h1) 2.074 * * [simplify]: iteration 0 : 161 enodes (cost 547 ) 2.077 * * [simplify]: iteration 1 : 592 enodes (cost 446 ) 2.093 * * [simplify]: iteration 2 : 3637 enodes (cost 426 ) 2.235 * * [simplify]: iteration 3 : 5001 enodes (cost 426 ) 2.237 * * * [progress]: adding candidates to table 2.582 * [progress]: [Phase 3 of 3] Extracting. 2.582 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.585 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 2.585 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 2.639 * * * * [regimes]: Trying to branch on (* im im) from (# #) 2.652 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 2.689 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 2.732 * * * [regime]: Found split indices: #