2.352 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.029 * [progress]: [Phase 2 of 3] Improving. 0.029 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.029 * * [simplify]: Extracting # 0 : cost 0 0.029 * * [simplify]: Extracting # 1 : cost 0 0.029 * * [simplify]: Extracting # 2 : cost 0 0.029 * * [simplify]: Extracting # 3 : cost 0 0.029 * * [simplify]: Extracting # 4 : cost 0 0.029 * * [simplify]: Extracting # 5 : cost 0 0.029 * * [simplify]: Extracting # 6 : cost 0 0.030 * * [simplify]: Extracting # 7 : cost 0 0.030 * * [simplify]: Extracting # 8 : cost 0 0.030 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.031 * * [simplify]: Extracting # 0 : cost 0 0.031 * * [simplify]: Extracting # 1 : cost 0 0.031 * * [simplify]: Extracting # 2 : cost 0 0.031 * * [simplify]: iteration 1 : 17 enodes (cost 15 ) 0.034 * * [simplify]: Extracting # 0 : cost 0 0.034 * * [simplify]: Extracting # 1 : cost 0 0.034 * * [simplify]: Extracting # 2 : cost 0 0.034 * * [simplify]: iteration 2 : 24 enodes (cost 15 ) 0.038 * * [simplify]: Extracting # 0 : cost 0 0.038 * * [simplify]: Extracting # 1 : cost 0 0.038 * * [simplify]: Extracting # 2 : cost 0 0.038 * * [simplify]: iteration 3 : 30 enodes (cost 15 ) 0.042 * * [simplify]: Extracting # 0 : cost 0 0.042 * * [simplify]: Extracting # 1 : cost 0 0.042 * * [simplify]: Extracting # 2 : cost 0 0.042 * * [simplify]: iteration 4 : 35 enodes (cost 15 ) 0.047 * * [simplify]: Extracting # 0 : cost 0 0.047 * * [simplify]: iteration done: 35 enodes (cost 15 ) 0.047 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.048 * * [progress]: iteration 1 / 4 0.048 * * * [progress]: picking best candidate 0.050 * * * * [pick]: Picked # 0.050 * * * [progress]: localizing error 0.064 * * * [progress]: generating rewritten candidates 0.064 * * * * [progress]: [ 1 / 2 ] rewriting at (2 2 1 2 1) 0.073 * * * * [progress]: [ 2 / 2 ] rewriting at (2 2 1 2) 0.113 * * * [progress]: generating series expansions 0.113 * * * * [progress]: [ 1 / 2 ] generating series at (2 2 1 2 1) 0.118 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.118 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.120 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.120 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.120 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.120 * [taylor]: Taking taylor expansion of re in im 0.120 * [backup-simplify]: Simplify re into re 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 0.121 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.121 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.121 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.121 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.122 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.122 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.122 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.122 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.122 * [taylor]: Taking taylor expansion of re in re 0.122 * [backup-simplify]: Simplify 0 into 0 0.122 * [backup-simplify]: Simplify 1 into 1 0.122 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.122 * [taylor]: Taking taylor expansion of im in re 0.122 * [backup-simplify]: Simplify im into im 0.122 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.122 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.122 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.122 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.122 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.123 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.123 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 0.123 * [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 (+ 0 (pow im 2)) into (pow im 2) 0.123 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.123 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.123 * [backup-simplify]: Simplify (+ 0 0) into 0 0.123 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.124 * [taylor]: Taking taylor expansion of im in im 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [taylor]: Taking taylor expansion of 0 in im 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 0 into 0 0.124 * [backup-simplify]: Simplify 1 into 1 0.125 * [backup-simplify]: Simplify (* 1 1) into 1 0.125 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.125 * [backup-simplify]: Simplify (+ 1 0) into 1 0.126 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.126 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.126 * [taylor]: Taking taylor expansion of 1/2 in im 0.126 * [backup-simplify]: Simplify 1/2 into 1/2 0.126 * [taylor]: Taking taylor expansion of im in im 0.126 * [backup-simplify]: Simplify 0 into 0 0.126 * [backup-simplify]: Simplify 1 into 1 0.126 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.127 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify 0 into 0 0.127 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.128 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.128 * [taylor]: Taking taylor expansion of 0 in im 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.129 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.129 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.129 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.129 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.129 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.129 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.129 * [taylor]: Taking taylor expansion of im in im 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.130 * [backup-simplify]: Simplify (* 1 1) into 1 0.130 * [backup-simplify]: Simplify (/ 1 1) into 1 0.130 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.130 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.130 * [taylor]: Taking taylor expansion of re in im 0.130 * [backup-simplify]: Simplify re into re 0.130 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.130 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.130 * [backup-simplify]: Simplify (+ 1 0) into 1 0.131 * [backup-simplify]: Simplify (sqrt 1) into 1 0.131 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.132 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify (+ 0 0) into 0 0.132 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.132 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.132 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.132 * [taylor]: Taking taylor expansion of im in re 0.132 * [backup-simplify]: Simplify im into im 0.132 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.132 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.132 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.132 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.132 * [taylor]: Taking taylor expansion of re in re 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (* 1 1) into 1 0.133 * [backup-simplify]: Simplify (/ 1 1) into 1 0.133 * [backup-simplify]: Simplify (+ 0 1) into 1 0.133 * [backup-simplify]: Simplify (sqrt 1) into 1 0.134 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.134 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.135 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.135 * [taylor]: Taking taylor expansion of im in re 0.135 * [backup-simplify]: Simplify im into im 0.135 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.135 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.135 * [taylor]: Taking taylor expansion of re in re 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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.136 * [backup-simplify]: Simplify (sqrt 1) into 1 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.141 * [backup-simplify]: Simplify (+ 0 0) into 0 0.142 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.142 * [taylor]: Taking taylor expansion of 1 in im 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [taylor]: Taking taylor expansion of 0 in im 0.142 * [backup-simplify]: Simplify 0 into 0 0.142 * [backup-simplify]: Simplify 1 into 1 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.143 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.144 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.144 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.144 * [taylor]: Taking taylor expansion of 1/2 in im 0.144 * [backup-simplify]: Simplify 1/2 into 1/2 0.144 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.144 * [taylor]: Taking taylor expansion of im in im 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.145 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [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 0.146 * [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 0.147 * [backup-simplify]: Simplify (+ 0 0) into 0 0.147 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.147 * [taylor]: Taking taylor expansion of 0 in im 0.147 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.148 * [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 re 0.149 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.149 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.149 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.149 * [taylor]: Taking taylor expansion of im in im 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (* 1 1) into 1 0.149 * [backup-simplify]: Simplify (/ 1 1) into 1 0.149 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.149 * [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 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.150 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.150 * [backup-simplify]: Simplify (+ 1 0) into 1 0.150 * [backup-simplify]: Simplify (sqrt 1) into 1 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.151 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.152 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.152 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.152 * [taylor]: Taking taylor expansion of im in re 0.152 * [backup-simplify]: Simplify im into im 0.152 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.152 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.152 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.152 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.152 * [taylor]: Taking taylor expansion of re in re 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1 1) into 1 0.153 * [backup-simplify]: Simplify (+ 0 1) into 1 0.153 * [backup-simplify]: Simplify (sqrt 1) into 1 0.153 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.154 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.154 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.154 * [taylor]: Taking taylor expansion of im in re 0.154 * [backup-simplify]: Simplify im into im 0.154 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.154 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.154 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.154 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.154 * [taylor]: Taking taylor expansion of re in re 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 1 into 1 0.155 * [backup-simplify]: Simplify (* 1 1) into 1 0.155 * [backup-simplify]: Simplify (/ 1 1) into 1 0.155 * [backup-simplify]: Simplify (+ 0 1) into 1 0.156 * [backup-simplify]: Simplify (sqrt 1) into 1 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.156 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify (+ 0 0) into 0 0.157 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.157 * [taylor]: Taking taylor expansion of 1 in im 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [taylor]: Taking taylor expansion of 0 in im 0.157 * [backup-simplify]: Simplify 0 into 0 0.157 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.159 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.159 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.159 * [taylor]: Taking taylor expansion of 1/2 in im 0.159 * [backup-simplify]: Simplify 1/2 into 1/2 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.159 * [taylor]: Taking taylor expansion of im in im 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.162 * [taylor]: Taking taylor expansion of 0 in im 0.162 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.163 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.163 * * * * [progress]: [ 2 / 2 ] generating series at (2 2 1 2) 0.164 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.164 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.164 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.164 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.164 * [taylor]: Taking taylor expansion of re in im 0.164 * [backup-simplify]: Simplify re into re 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.164 * [taylor]: Taking taylor expansion of im in im 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.164 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.164 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.164 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.164 * [taylor]: Taking taylor expansion of re in im 0.164 * [backup-simplify]: Simplify re into re 0.164 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.164 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.165 * [taylor]: Taking taylor expansion of im in re 0.165 * [backup-simplify]: Simplify im into im 0.165 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.165 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.165 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.165 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.165 * [backup-simplify]: Simplify (+ 0 0) into 0 0.165 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.165 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.165 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.165 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.165 * [taylor]: Taking taylor expansion of re in re 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.165 * [taylor]: Taking taylor expansion of im in re 0.165 * [backup-simplify]: Simplify im into im 0.165 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.166 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.166 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.166 * [backup-simplify]: Simplify (+ 0 0) into 0 0.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.166 * [taylor]: Taking taylor expansion of re in re 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (- 0) into 0 0.166 * [backup-simplify]: Simplify (+ im 0) into im 0.166 * [taylor]: Taking taylor expansion of im in im 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify (- 1) into -1 0.167 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.167 * [taylor]: Taking taylor expansion of -1 in im 0.167 * [backup-simplify]: Simplify -1 into -1 0.167 * [backup-simplify]: Simplify -1 into -1 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.168 * [backup-simplify]: Simplify (+ 1 0) into 1 0.168 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.168 * [backup-simplify]: Simplify (- 0) into 0 0.168 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.168 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.168 * [taylor]: Taking taylor expansion of 1/2 in im 0.168 * [backup-simplify]: Simplify 1/2 into 1/2 0.168 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.168 * [taylor]: Taking taylor expansion of im in im 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 1 into 1 0.169 * [backup-simplify]: Simplify (/ 1 1) into 1 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.171 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.171 * [backup-simplify]: Simplify (- 0) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [taylor]: Taking taylor expansion of 0 in im 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.173 * [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)) 0.173 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.173 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.173 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.173 * [taylor]: Taking taylor expansion of im in im 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (* 1 1) into 1 0.173 * [backup-simplify]: Simplify (/ 1 1) into 1 0.173 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.173 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.173 * [taylor]: Taking taylor expansion of re in im 0.173 * [backup-simplify]: Simplify re into re 0.173 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.174 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.174 * [backup-simplify]: Simplify (+ 1 0) into 1 0.174 * [backup-simplify]: Simplify (sqrt 1) into 1 0.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.176 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.176 * [taylor]: Taking taylor expansion of re in im 0.176 * [backup-simplify]: Simplify re into re 0.176 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.176 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.176 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.176 * [taylor]: Taking taylor expansion of im in re 0.176 * [backup-simplify]: Simplify im into im 0.176 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.176 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.176 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.176 * [taylor]: Taking taylor expansion of re in re 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [backup-simplify]: Simplify (* 1 1) into 1 0.176 * [backup-simplify]: Simplify (/ 1 1) into 1 0.177 * [backup-simplify]: Simplify (+ 0 1) into 1 0.177 * [backup-simplify]: Simplify (sqrt 1) into 1 0.177 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.178 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.179 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.179 * [taylor]: Taking taylor expansion of re in re 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.179 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.179 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.179 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.179 * [taylor]: Taking taylor expansion of im in re 0.179 * [backup-simplify]: Simplify im into im 0.179 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.179 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.179 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.179 * [taylor]: Taking taylor expansion of re in re 0.179 * [backup-simplify]: Simplify 0 into 0 0.179 * [backup-simplify]: Simplify 1 into 1 0.179 * [backup-simplify]: Simplify (* 1 1) into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [backup-simplify]: Simplify (+ 0 1) into 1 0.180 * [backup-simplify]: Simplify (sqrt 1) into 1 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.181 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.182 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.182 * [taylor]: Taking taylor expansion of re in re 0.182 * [backup-simplify]: Simplify 0 into 0 0.182 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [backup-simplify]: Simplify (- 1) into -1 0.182 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.182 * [taylor]: Taking taylor expansion of 0 in im 0.182 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [taylor]: Taking taylor expansion of 0 in im 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.185 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (- 0) into 0 0.186 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.186 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.186 * [taylor]: Taking taylor expansion of 1/2 in im 0.186 * [backup-simplify]: Simplify 1/2 into 1/2 0.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.186 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.186 * [taylor]: Taking taylor expansion of im in im 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 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.188 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (- 0) 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 (+ (* 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 (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [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))))) 0.192 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.192 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.192 * [taylor]: Taking taylor expansion of re in im 0.192 * [backup-simplify]: Simplify re into re 0.192 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 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 0.193 * [taylor]: Taking taylor expansion of im in im 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (* 1 1) into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.193 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.193 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.193 * [taylor]: Taking taylor expansion of re in im 0.193 * [backup-simplify]: Simplify re into re 0.193 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.193 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.193 * [backup-simplify]: Simplify (+ 1 0) into 1 0.194 * [backup-simplify]: Simplify (sqrt 1) into 1 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.195 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.195 * [taylor]: Taking taylor expansion of re in re 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.195 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.195 * [taylor]: Taking taylor expansion of im in re 0.195 * [backup-simplify]: Simplify im into im 0.195 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.196 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.196 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.196 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.196 * [taylor]: Taking taylor expansion of re in re 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [backup-simplify]: Simplify (* 1 1) into 1 0.196 * [backup-simplify]: Simplify (/ 1 1) into 1 0.196 * [backup-simplify]: Simplify (+ 0 1) into 1 0.197 * [backup-simplify]: Simplify (sqrt 1) into 1 0.197 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.198 * [backup-simplify]: Simplify (+ 0 0) into 0 0.198 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.198 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.198 * [taylor]: Taking taylor expansion of re in re 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.198 * [taylor]: Taking taylor expansion of im in re 0.198 * [backup-simplify]: Simplify im into im 0.198 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.198 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.198 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.198 * [taylor]: Taking taylor expansion of re in re 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 1 into 1 0.199 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [backup-simplify]: Simplify (/ 1 1) into 1 0.199 * [backup-simplify]: Simplify (+ 0 1) into 1 0.199 * [backup-simplify]: Simplify (sqrt 1) into 1 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.200 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.201 * [backup-simplify]: Simplify (+ 1 1) into 2 0.201 * [taylor]: Taking taylor expansion of 2 in im 0.201 * [backup-simplify]: Simplify 2 into 2 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [taylor]: Taking taylor expansion of 0 in im 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 2 into 2 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.204 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.204 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.204 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.204 * [taylor]: Taking taylor expansion of 1/2 in im 0.204 * [backup-simplify]: Simplify 1/2 into 1/2 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.204 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.204 * [taylor]: Taking taylor expansion of im in im 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (* 1 1) into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.208 * [backup-simplify]: Simplify (+ 0 0) into 0 0.208 * [taylor]: Taking taylor expansion of 0 in im 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.210 * * * [progress]: simplifying candidates 0.211 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) im re (* -1 re) (- im re) 0 (* -2 re) 0.212 * * [simplify]: Extracting # 0 : cost 0 0.212 * * [simplify]: Extracting # 1 : cost 0 0.212 * * [simplify]: Extracting # 2 : cost 0 0.212 * * [simplify]: Extracting # 3 : cost 0 0.212 * * [simplify]: Extracting # 4 : cost 0 0.212 * * [simplify]: Extracting # 5 : cost 0 0.212 * * [simplify]: Extracting # 6 : cost 0 0.212 * * [simplify]: iteration 0 : 64 enodes (cost 481 ) 0.224 * * [simplify]: Extracting # 0 : cost 0 0.224 * * [simplify]: Extracting # 1 : cost 0 0.224 * * [simplify]: Extracting # 2 : cost 0 0.224 * * [simplify]: Extracting # 3 : cost 0 0.224 * * [simplify]: Extracting # 4 : cost 0 0.224 * * [simplify]: iteration 1 : 137 enodes (cost 421 ) 0.254 * * [simplify]: Extracting # 0 : cost 0 0.255 * * [simplify]: Extracting # 1 : cost 0 0.255 * * [simplify]: Extracting # 2 : cost 0 0.256 * * [simplify]: Extracting # 3 : cost 0 0.256 * * [simplify]: Extracting # 4 : cost 0 0.256 * * [simplify]: iteration 2 : 328 enodes (cost 391 ) 0.343 * * [simplify]: Extracting # 0 : cost 0 0.344 * * [simplify]: Extracting # 1 : cost 0 0.345 * * [simplify]: Extracting # 2 : cost 0 0.346 * * [simplify]: Extracting # 3 : cost 0 0.347 * * [simplify]: iteration 3 : 767 enodes (cost 381 ) 0.803 * * [simplify]: Extracting # 0 : cost 0 0.805 * * [simplify]: Extracting # 1 : cost 0 0.807 * * [simplify]: Extracting # 2 : cost 0 0.809 * * [simplify]: Extracting # 3 : cost 0 0.811 * * [simplify]: Extracting # 4 : cost 0 0.813 * * [simplify]: iteration 4 : 1986 enodes (cost 379 ) 1.421 * * [simplify]: Extracting # 0 : cost 0 1.426 * * [simplify]: Extracting # 1 : cost 0 1.432 * * [simplify]: Extracting # 2 : cost 0 1.438 * * [simplify]: Extracting # 3 : cost 0 1.444 * * [simplify]: Extracting # 4 : cost 0 1.449 * * [simplify]: iteration done: 5000 enodes (cost 379 ) 1.450 * [simplify]: Simplified to: (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)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (- (sqrt (+ (* re re) (* im im))) 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)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (+ (+ (sqrt (+ (* re re) (* im im))) re) re)) (* im im)) (- re) (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) im re (- re) (- im re) 0 (* -2 re) 1.450 * * * [progress]: adding candidates to table 1.547 * * [progress]: iteration 2 / 4 1.547 * * * [progress]: picking best candidate 1.558 * * * * [pick]: Picked # 1.559 * * * [progress]: localizing error 1.572 * * * [progress]: generating rewritten candidates 1.572 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.582 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.589 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2) 1.627 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1) 1.685 * * * [progress]: generating series expansions 1.685 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 1.685 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.685 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.685 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.685 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.685 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.685 * [taylor]: Taking taylor expansion of re in im 1.685 * [backup-simplify]: Simplify re into re 1.686 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.686 * [taylor]: Taking taylor expansion of im in im 1.686 * [backup-simplify]: Simplify 0 into 0 1.686 * [backup-simplify]: Simplify 1 into 1 1.686 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.686 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.686 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.686 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.686 * [backup-simplify]: Simplify (+ 0 0) into 0 1.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.686 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.686 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.686 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.687 * [taylor]: Taking taylor expansion of re in re 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 1 into 1 1.687 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.687 * [taylor]: Taking taylor expansion of im in re 1.687 * [backup-simplify]: Simplify im into im 1.687 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.687 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.687 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.687 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.687 * [backup-simplify]: Simplify (+ 0 0) into 0 1.687 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.687 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.687 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.687 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.687 * [taylor]: Taking taylor expansion of re in re 1.687 * [backup-simplify]: Simplify 0 into 0 1.687 * [backup-simplify]: Simplify 1 into 1 1.687 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.687 * [taylor]: Taking taylor expansion of im in re 1.687 * [backup-simplify]: Simplify im into im 1.687 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.687 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.688 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.688 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.688 * [backup-simplify]: Simplify (+ 0 0) into 0 1.688 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.688 * [taylor]: Taking taylor expansion of im in im 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [taylor]: Taking taylor expansion of 0 in im 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 0 into 0 1.688 * [backup-simplify]: Simplify 1 into 1 1.688 * [backup-simplify]: Simplify (* 1 1) into 1 1.689 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.689 * [backup-simplify]: Simplify (+ 1 0) into 1 1.689 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.689 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.689 * [taylor]: Taking taylor expansion of 1/2 in im 1.689 * [backup-simplify]: Simplify 1/2 into 1/2 1.690 * [taylor]: Taking taylor expansion of im in im 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 1 into 1 1.690 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.690 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.690 * [backup-simplify]: Simplify 0 into 0 1.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.691 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.691 * [backup-simplify]: Simplify (+ 0 0) into 0 1.691 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.691 * [taylor]: Taking taylor expansion of 0 in im 1.691 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.692 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.692 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.692 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.692 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.692 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.692 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.692 * [taylor]: Taking taylor expansion of im in im 1.692 * [backup-simplify]: Simplify 0 into 0 1.692 * [backup-simplify]: Simplify 1 into 1 1.693 * [backup-simplify]: Simplify (* 1 1) into 1 1.693 * [backup-simplify]: Simplify (/ 1 1) into 1 1.693 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.693 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.693 * [taylor]: Taking taylor expansion of re in im 1.693 * [backup-simplify]: Simplify re into re 1.693 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.693 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.693 * [backup-simplify]: Simplify (+ 1 0) into 1 1.694 * [backup-simplify]: Simplify (sqrt 1) into 1 1.694 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.694 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.695 * [backup-simplify]: Simplify (+ 0 0) into 0 1.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.695 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.695 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.695 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.695 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.695 * [taylor]: Taking taylor expansion of im in re 1.695 * [backup-simplify]: Simplify im into im 1.695 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.695 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.695 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.695 * [taylor]: Taking taylor expansion of re in re 1.695 * [backup-simplify]: Simplify 0 into 0 1.695 * [backup-simplify]: Simplify 1 into 1 1.695 * [backup-simplify]: Simplify (* 1 1) into 1 1.696 * [backup-simplify]: Simplify (/ 1 1) into 1 1.696 * [backup-simplify]: Simplify (+ 0 1) into 1 1.696 * [backup-simplify]: Simplify (sqrt 1) into 1 1.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.697 * [backup-simplify]: Simplify (+ 0 0) into 0 1.697 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.697 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.698 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.698 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.698 * [taylor]: Taking taylor expansion of im in re 1.698 * [backup-simplify]: Simplify im into im 1.698 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.698 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.698 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.698 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.698 * [taylor]: Taking taylor expansion of re in re 1.698 * [backup-simplify]: Simplify 0 into 0 1.698 * [backup-simplify]: Simplify 1 into 1 1.698 * [backup-simplify]: Simplify (* 1 1) into 1 1.698 * [backup-simplify]: Simplify (/ 1 1) into 1 1.698 * [backup-simplify]: Simplify (+ 0 1) into 1 1.699 * [backup-simplify]: Simplify (sqrt 1) into 1 1.699 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.699 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.700 * [backup-simplify]: Simplify (+ 0 0) into 0 1.700 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.700 * [taylor]: Taking taylor expansion of 1 in im 1.700 * [backup-simplify]: Simplify 1 into 1 1.700 * [taylor]: Taking taylor expansion of 0 in im 1.700 * [backup-simplify]: Simplify 0 into 0 1.700 * [backup-simplify]: Simplify 1 into 1 1.703 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.704 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.705 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.705 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.705 * [taylor]: Taking taylor expansion of 1/2 in im 1.705 * [backup-simplify]: Simplify 1/2 into 1/2 1.705 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.705 * [taylor]: Taking taylor expansion of im in im 1.705 * [backup-simplify]: Simplify 0 into 0 1.705 * [backup-simplify]: Simplify 1 into 1 1.705 * [backup-simplify]: Simplify (* 1 1) into 1 1.706 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.706 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify 0 into 0 1.706 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.707 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.707 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.708 * [backup-simplify]: Simplify (+ 0 0) into 0 1.708 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.708 * [taylor]: Taking taylor expansion of 0 in im 1.708 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.709 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify 0 into 0 1.709 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.710 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.710 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.710 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.710 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.710 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.710 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.710 * [taylor]: Taking taylor expansion of im in im 1.710 * [backup-simplify]: Simplify 0 into 0 1.710 * [backup-simplify]: Simplify 1 into 1 1.710 * [backup-simplify]: Simplify (* 1 1) into 1 1.710 * [backup-simplify]: Simplify (/ 1 1) into 1 1.710 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.710 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.710 * [taylor]: Taking taylor expansion of re in im 1.710 * [backup-simplify]: Simplify re into re 1.710 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.710 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.711 * [backup-simplify]: Simplify (+ 1 0) into 1 1.711 * [backup-simplify]: Simplify (sqrt 1) into 1 1.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.712 * [backup-simplify]: Simplify (+ 0 0) into 0 1.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.712 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.712 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.712 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.712 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.712 * [taylor]: Taking taylor expansion of im in re 1.712 * [backup-simplify]: Simplify im into im 1.712 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.712 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.712 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.712 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.712 * [taylor]: Taking taylor expansion of re in re 1.712 * [backup-simplify]: Simplify 0 into 0 1.713 * [backup-simplify]: Simplify 1 into 1 1.713 * [backup-simplify]: Simplify (* 1 1) into 1 1.713 * [backup-simplify]: Simplify (/ 1 1) into 1 1.713 * [backup-simplify]: Simplify (+ 0 1) into 1 1.713 * [backup-simplify]: Simplify (sqrt 1) into 1 1.714 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.714 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.714 * [backup-simplify]: Simplify (+ 0 0) into 0 1.715 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.715 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.715 * [taylor]: Taking taylor expansion of im in re 1.715 * [backup-simplify]: Simplify im into im 1.715 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.715 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.715 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.715 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.715 * [taylor]: Taking taylor expansion of re in re 1.715 * [backup-simplify]: Simplify 0 into 0 1.715 * [backup-simplify]: Simplify 1 into 1 1.715 * [backup-simplify]: Simplify (* 1 1) into 1 1.716 * [backup-simplify]: Simplify (/ 1 1) into 1 1.716 * [backup-simplify]: Simplify (+ 0 1) into 1 1.716 * [backup-simplify]: Simplify (sqrt 1) into 1 1.716 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.717 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.717 * [backup-simplify]: Simplify (+ 0 0) into 0 1.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.717 * [taylor]: Taking taylor expansion of 1 in im 1.717 * [backup-simplify]: Simplify 1 into 1 1.717 * [taylor]: Taking taylor expansion of 0 in im 1.717 * [backup-simplify]: Simplify 0 into 0 1.717 * [backup-simplify]: Simplify 1 into 1 1.718 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.719 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.719 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.719 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.719 * [taylor]: Taking taylor expansion of 1/2 in im 1.719 * [backup-simplify]: Simplify 1/2 into 1/2 1.719 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.719 * [taylor]: Taking taylor expansion of im in im 1.719 * [backup-simplify]: Simplify 0 into 0 1.719 * [backup-simplify]: Simplify 1 into 1 1.720 * [backup-simplify]: Simplify (* 1 1) into 1 1.720 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.720 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.721 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify 0 into 0 1.721 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.721 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.722 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.722 * [backup-simplify]: Simplify (+ 0 0) into 0 1.723 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.723 * [taylor]: Taking taylor expansion of 0 in im 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.724 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify 0 into 0 1.724 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.724 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1) 1.724 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.724 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.724 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.724 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.724 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.724 * [taylor]: Taking taylor expansion of re in im 1.724 * [backup-simplify]: Simplify re into re 1.724 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.724 * [taylor]: Taking taylor expansion of im in im 1.724 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.725 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.725 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.725 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.725 * [backup-simplify]: Simplify (+ 0 0) into 0 1.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.725 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.725 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.725 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.725 * [taylor]: Taking taylor expansion of re in re 1.725 * [backup-simplify]: Simplify 0 into 0 1.725 * [backup-simplify]: Simplify 1 into 1 1.725 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.725 * [taylor]: Taking taylor expansion of im in re 1.725 * [backup-simplify]: Simplify im into im 1.725 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.725 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.725 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.725 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.726 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.726 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.726 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.726 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.726 * [taylor]: Taking taylor expansion of re in re 1.726 * [backup-simplify]: Simplify 0 into 0 1.726 * [backup-simplify]: Simplify 1 into 1 1.726 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.726 * [taylor]: Taking taylor expansion of im in re 1.726 * [backup-simplify]: Simplify im into im 1.726 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.726 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.726 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.726 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.727 * [backup-simplify]: Simplify (+ 0 0) into 0 1.727 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.727 * [taylor]: Taking taylor expansion of im in im 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [taylor]: Taking taylor expansion of 0 in im 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 0 into 0 1.727 * [backup-simplify]: Simplify 1 into 1 1.727 * [backup-simplify]: Simplify (* 1 1) into 1 1.727 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.728 * [backup-simplify]: Simplify (+ 1 0) into 1 1.728 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.728 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.728 * [taylor]: Taking taylor expansion of 1/2 in im 1.728 * [backup-simplify]: Simplify 1/2 into 1/2 1.728 * [taylor]: Taking taylor expansion of im in im 1.728 * [backup-simplify]: Simplify 0 into 0 1.728 * [backup-simplify]: Simplify 1 into 1 1.728 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.730 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.730 * [backup-simplify]: Simplify (+ 0 0) into 0 1.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.730 * [taylor]: Taking taylor expansion of 0 in im 1.730 * [backup-simplify]: Simplify 0 into 0 1.730 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.731 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.731 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.731 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.731 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.731 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.731 * [taylor]: Taking taylor expansion of im in im 1.731 * [backup-simplify]: Simplify 0 into 0 1.731 * [backup-simplify]: Simplify 1 into 1 1.731 * [backup-simplify]: Simplify (* 1 1) into 1 1.731 * [backup-simplify]: Simplify (/ 1 1) into 1 1.731 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.732 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.732 * [taylor]: Taking taylor expansion of re in im 1.732 * [backup-simplify]: Simplify re into re 1.732 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.732 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.732 * [backup-simplify]: Simplify (+ 1 0) into 1 1.732 * [backup-simplify]: Simplify (sqrt 1) into 1 1.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.733 * [backup-simplify]: Simplify (+ 0 0) into 0 1.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.734 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.734 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.734 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.734 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.734 * [taylor]: Taking taylor expansion of im in re 1.734 * [backup-simplify]: Simplify im into im 1.734 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.734 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.734 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.734 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.734 * [taylor]: Taking taylor expansion of re in re 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.734 * [backup-simplify]: Simplify (* 1 1) into 1 1.734 * [backup-simplify]: Simplify (/ 1 1) into 1 1.734 * [backup-simplify]: Simplify (+ 0 1) into 1 1.735 * [backup-simplify]: Simplify (sqrt 1) into 1 1.735 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.736 * [backup-simplify]: Simplify (+ 0 0) into 0 1.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.736 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.736 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.736 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.736 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.736 * [taylor]: Taking taylor expansion of im in re 1.736 * [backup-simplify]: Simplify im into im 1.736 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.736 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.736 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.736 * [taylor]: Taking taylor expansion of re in re 1.736 * [backup-simplify]: Simplify 0 into 0 1.736 * [backup-simplify]: Simplify 1 into 1 1.737 * [backup-simplify]: Simplify (* 1 1) into 1 1.737 * [backup-simplify]: Simplify (/ 1 1) into 1 1.737 * [backup-simplify]: Simplify (+ 0 1) into 1 1.737 * [backup-simplify]: Simplify (sqrt 1) into 1 1.738 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.738 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.738 * [backup-simplify]: Simplify (+ 0 0) into 0 1.739 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.739 * [taylor]: Taking taylor expansion of 1 in im 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [taylor]: Taking taylor expansion of 0 in im 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 1 into 1 1.739 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.740 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.741 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.741 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.741 * [taylor]: Taking taylor expansion of 1/2 in im 1.741 * [backup-simplify]: Simplify 1/2 into 1/2 1.741 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.741 * [taylor]: Taking taylor expansion of im in im 1.741 * [backup-simplify]: Simplify 0 into 0 1.741 * [backup-simplify]: Simplify 1 into 1 1.741 * [backup-simplify]: Simplify (* 1 1) into 1 1.741 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.742 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify 0 into 0 1.742 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.743 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.744 * [backup-simplify]: Simplify (+ 0 0) into 0 1.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.744 * [taylor]: Taking taylor expansion of 0 in im 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.745 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.745 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.745 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.745 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.745 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.745 * [taylor]: Taking taylor expansion of im in im 1.745 * [backup-simplify]: Simplify 0 into 0 1.745 * [backup-simplify]: Simplify 1 into 1 1.746 * [backup-simplify]: Simplify (* 1 1) into 1 1.746 * [backup-simplify]: Simplify (/ 1 1) into 1 1.746 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.746 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.746 * [taylor]: Taking taylor expansion of re in im 1.746 * [backup-simplify]: Simplify re into re 1.746 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.746 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.746 * [backup-simplify]: Simplify (+ 1 0) into 1 1.747 * [backup-simplify]: Simplify (sqrt 1) into 1 1.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (+ 0 0) into 0 1.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.748 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.748 * [taylor]: Taking taylor expansion of im in re 1.748 * [backup-simplify]: Simplify im into im 1.748 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.748 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.748 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.748 * [taylor]: Taking taylor expansion of re in re 1.748 * [backup-simplify]: Simplify 0 into 0 1.748 * [backup-simplify]: Simplify 1 into 1 1.748 * [backup-simplify]: Simplify (* 1 1) into 1 1.749 * [backup-simplify]: Simplify (/ 1 1) into 1 1.749 * [backup-simplify]: Simplify (+ 0 1) into 1 1.749 * [backup-simplify]: Simplify (sqrt 1) into 1 1.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.750 * [backup-simplify]: Simplify (+ 0 0) into 0 1.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.751 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.751 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.751 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.751 * [taylor]: Taking taylor expansion of im in re 1.751 * [backup-simplify]: Simplify im into im 1.751 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.751 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.751 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.751 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.751 * [taylor]: Taking taylor expansion of re in re 1.751 * [backup-simplify]: Simplify 0 into 0 1.751 * [backup-simplify]: Simplify 1 into 1 1.751 * [backup-simplify]: Simplify (* 1 1) into 1 1.751 * [backup-simplify]: Simplify (/ 1 1) into 1 1.752 * [backup-simplify]: Simplify (+ 0 1) into 1 1.752 * [backup-simplify]: Simplify (sqrt 1) into 1 1.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.753 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.753 * [backup-simplify]: Simplify (+ 0 0) into 0 1.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.753 * [taylor]: Taking taylor expansion of 1 in im 1.753 * [backup-simplify]: Simplify 1 into 1 1.753 * [taylor]: Taking taylor expansion of 0 in im 1.753 * [backup-simplify]: Simplify 0 into 0 1.753 * [backup-simplify]: Simplify 1 into 1 1.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.754 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.755 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.755 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.755 * [taylor]: Taking taylor expansion of 1/2 in im 1.755 * [backup-simplify]: Simplify 1/2 into 1/2 1.755 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.755 * [taylor]: Taking taylor expansion of im in im 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 1 into 1 1.755 * [backup-simplify]: Simplify (* 1 1) into 1 1.756 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify 0 into 0 1.757 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.757 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.758 * [backup-simplify]: Simplify (+ 0 0) into 0 1.758 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.758 * [taylor]: Taking taylor expansion of 0 in im 1.758 * [backup-simplify]: Simplify 0 into 0 1.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.759 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.760 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2) 1.760 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 1.760 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 1.760 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.760 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.760 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.760 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.760 * [taylor]: Taking taylor expansion of re in im 1.760 * [backup-simplify]: Simplify re into re 1.760 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.760 * [taylor]: Taking taylor expansion of im in im 1.760 * [backup-simplify]: Simplify 0 into 0 1.760 * [backup-simplify]: Simplify 1 into 1 1.760 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.760 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.760 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.760 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.761 * [taylor]: Taking taylor expansion of re in im 1.761 * [backup-simplify]: Simplify re into re 1.761 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.761 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.761 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.761 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.761 * [taylor]: Taking taylor expansion of re in re 1.761 * [backup-simplify]: Simplify 0 into 0 1.761 * [backup-simplify]: Simplify 1 into 1 1.761 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.761 * [taylor]: Taking taylor expansion of im in re 1.761 * [backup-simplify]: Simplify im into im 1.761 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.761 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.761 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.761 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.761 * [backup-simplify]: Simplify (+ 0 0) into 0 1.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.762 * [taylor]: Taking taylor expansion of re in re 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.762 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.762 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.762 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.762 * [taylor]: Taking taylor expansion of re in re 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.762 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.762 * [taylor]: Taking taylor expansion of im in re 1.762 * [backup-simplify]: Simplify im into im 1.762 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.762 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.762 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.762 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.762 * [backup-simplify]: Simplify (+ 0 0) into 0 1.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.762 * [taylor]: Taking taylor expansion of re in re 1.762 * [backup-simplify]: Simplify 0 into 0 1.762 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (- 0) into 0 1.763 * [backup-simplify]: Simplify (+ im 0) into im 1.763 * [taylor]: Taking taylor expansion of im in im 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify 0 into 0 1.763 * [backup-simplify]: Simplify (- 1) into -1 1.763 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.763 * [taylor]: Taking taylor expansion of -1 in im 1.763 * [backup-simplify]: Simplify -1 into -1 1.763 * [backup-simplify]: Simplify -1 into -1 1.763 * [backup-simplify]: Simplify 1 into 1 1.763 * [backup-simplify]: Simplify (* 1 1) into 1 1.764 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.764 * [backup-simplify]: Simplify (+ 1 0) into 1 1.764 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.765 * [backup-simplify]: Simplify (- 0) into 0 1.765 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.765 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.765 * [taylor]: Taking taylor expansion of 1/2 in im 1.765 * [backup-simplify]: Simplify 1/2 into 1/2 1.765 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.765 * [taylor]: Taking taylor expansion of im in im 1.765 * [backup-simplify]: Simplify 0 into 0 1.765 * [backup-simplify]: Simplify 1 into 1 1.765 * [backup-simplify]: Simplify (/ 1 1) into 1 1.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.766 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify 0 into 0 1.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.767 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.767 * [backup-simplify]: Simplify (+ 0 0) into 0 1.767 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.767 * [backup-simplify]: Simplify (- 0) into 0 1.767 * [backup-simplify]: Simplify (+ 0 0) into 0 1.767 * [taylor]: Taking taylor expansion of 0 in im 1.767 * [backup-simplify]: Simplify 0 into 0 1.767 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify 0 into 0 1.768 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.769 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1.769 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.769 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.769 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.769 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.769 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.769 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.769 * [taylor]: Taking taylor expansion of im in im 1.769 * [backup-simplify]: Simplify 0 into 0 1.769 * [backup-simplify]: Simplify 1 into 1 1.769 * [backup-simplify]: Simplify (* 1 1) into 1 1.769 * [backup-simplify]: Simplify (/ 1 1) into 1 1.770 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.770 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.770 * [taylor]: Taking taylor expansion of re in im 1.770 * [backup-simplify]: Simplify re into re 1.770 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.770 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.770 * [backup-simplify]: Simplify (+ 1 0) into 1 1.770 * [backup-simplify]: Simplify (sqrt 1) into 1 1.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.771 * [backup-simplify]: Simplify (+ 0 0) into 0 1.772 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.772 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.772 * [taylor]: Taking taylor expansion of re in im 1.772 * [backup-simplify]: Simplify re into re 1.772 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.772 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.772 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.772 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.772 * [taylor]: Taking taylor expansion of im in re 1.772 * [backup-simplify]: Simplify im into im 1.772 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.772 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.772 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.772 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.772 * [taylor]: Taking taylor expansion of re in re 1.772 * [backup-simplify]: Simplify 0 into 0 1.772 * [backup-simplify]: Simplify 1 into 1 1.772 * [backup-simplify]: Simplify (* 1 1) into 1 1.772 * [backup-simplify]: Simplify (/ 1 1) into 1 1.773 * [backup-simplify]: Simplify (+ 0 1) into 1 1.773 * [backup-simplify]: Simplify (sqrt 1) into 1 1.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.774 * [backup-simplify]: Simplify (+ 0 0) into 0 1.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.774 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.774 * [taylor]: Taking taylor expansion of re in re 1.774 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify (/ 1 1) into 1 1.775 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.775 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.775 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.775 * [taylor]: Taking taylor expansion of im in re 1.775 * [backup-simplify]: Simplify im into im 1.775 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.775 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.775 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.775 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.775 * [taylor]: Taking taylor expansion of re in re 1.775 * [backup-simplify]: Simplify 0 into 0 1.775 * [backup-simplify]: Simplify 1 into 1 1.775 * [backup-simplify]: Simplify (* 1 1) into 1 1.776 * [backup-simplify]: Simplify (/ 1 1) into 1 1.776 * [backup-simplify]: Simplify (+ 0 1) into 1 1.776 * [backup-simplify]: Simplify (sqrt 1) into 1 1.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.777 * [backup-simplify]: Simplify (+ 0 0) into 0 1.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.777 * [taylor]: Taking taylor expansion of re in re 1.777 * [backup-simplify]: Simplify 0 into 0 1.777 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (/ 1 1) into 1 1.778 * [backup-simplify]: Simplify (- 1) into -1 1.778 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.778 * [taylor]: Taking taylor expansion of 0 in im 1.778 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.779 * [backup-simplify]: Simplify (- 0) into 0 1.779 * [backup-simplify]: Simplify (+ 0 0) into 0 1.779 * [taylor]: Taking taylor expansion of 0 in im 1.779 * [backup-simplify]: Simplify 0 into 0 1.779 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.780 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.781 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.782 * [backup-simplify]: Simplify (- 0) into 0 1.782 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.782 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.782 * [taylor]: Taking taylor expansion of 1/2 in im 1.782 * [backup-simplify]: Simplify 1/2 into 1/2 1.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.782 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.782 * [taylor]: Taking taylor expansion of im in im 1.782 * [backup-simplify]: Simplify 0 into 0 1.782 * [backup-simplify]: Simplify 1 into 1 1.782 * [backup-simplify]: Simplify (* 1 1) into 1 1.782 * [backup-simplify]: Simplify (/ 1 1) into 1 1.783 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.783 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify 0 into 0 1.783 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.784 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.784 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.785 * [backup-simplify]: Simplify (+ 0 0) into 0 1.785 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (- 0) into 0 1.786 * [backup-simplify]: Simplify (+ 0 0) into 0 1.786 * [taylor]: Taking taylor expansion of 0 in im 1.786 * [backup-simplify]: Simplify 0 into 0 1.787 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.788 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify (- (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1.788 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.788 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.788 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.788 * [taylor]: Taking taylor expansion of re in im 1.788 * [backup-simplify]: Simplify re into re 1.788 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.788 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.788 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.788 * [taylor]: Taking taylor expansion of im in im 1.788 * [backup-simplify]: Simplify 0 into 0 1.788 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (* 1 1) into 1 1.789 * [backup-simplify]: Simplify (/ 1 1) into 1 1.789 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.789 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.789 * [taylor]: Taking taylor expansion of re in im 1.789 * [backup-simplify]: Simplify re into re 1.789 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.789 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.789 * [backup-simplify]: Simplify (+ 1 0) into 1 1.790 * [backup-simplify]: Simplify (sqrt 1) into 1 1.790 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.790 * [backup-simplify]: Simplify (+ 0 0) into 0 1.791 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.791 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.791 * [taylor]: Taking taylor expansion of re in re 1.791 * [backup-simplify]: Simplify 0 into 0 1.791 * [backup-simplify]: Simplify 1 into 1 1.791 * [backup-simplify]: Simplify (/ 1 1) into 1 1.791 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.791 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.791 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.791 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.791 * [taylor]: Taking taylor expansion of im in re 1.791 * [backup-simplify]: Simplify im into im 1.791 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.791 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.791 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.791 * [taylor]: Taking taylor expansion of re in re 1.792 * [backup-simplify]: Simplify 0 into 0 1.792 * [backup-simplify]: Simplify 1 into 1 1.792 * [backup-simplify]: Simplify (* 1 1) into 1 1.792 * [backup-simplify]: Simplify (/ 1 1) into 1 1.792 * [backup-simplify]: Simplify (+ 0 1) into 1 1.792 * [backup-simplify]: Simplify (sqrt 1) into 1 1.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.793 * [backup-simplify]: Simplify (+ 0 0) into 0 1.796 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.796 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.796 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.796 * [taylor]: Taking taylor expansion of re in re 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (/ 1 1) into 1 1.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.797 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.797 * [taylor]: Taking taylor expansion of im in re 1.797 * [backup-simplify]: Simplify im into im 1.797 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.797 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.797 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.797 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.797 * [taylor]: Taking taylor expansion of re in re 1.797 * [backup-simplify]: Simplify 0 into 0 1.797 * [backup-simplify]: Simplify 1 into 1 1.797 * [backup-simplify]: Simplify (* 1 1) into 1 1.798 * [backup-simplify]: Simplify (/ 1 1) into 1 1.798 * [backup-simplify]: Simplify (+ 0 1) into 1 1.798 * [backup-simplify]: Simplify (sqrt 1) into 1 1.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.799 * [backup-simplify]: Simplify (+ 0 0) into 0 1.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.800 * [backup-simplify]: Simplify (+ 1 1) into 2 1.800 * [taylor]: Taking taylor expansion of 2 in im 1.800 * [backup-simplify]: Simplify 2 into 2 1.800 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.801 * [backup-simplify]: Simplify (+ 0 0) into 0 1.801 * [taylor]: Taking taylor expansion of 0 in im 1.801 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify 2 into 2 1.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.803 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.803 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.803 * [taylor]: Taking taylor expansion of 1/2 in im 1.803 * [backup-simplify]: Simplify 1/2 into 1/2 1.803 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.803 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.803 * [taylor]: Taking taylor expansion of im in im 1.803 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify 1 into 1 1.803 * [backup-simplify]: Simplify (* 1 1) into 1 1.804 * [backup-simplify]: Simplify (/ 1 1) into 1 1.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.805 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify 0 into 0 1.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.806 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.807 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.807 * [backup-simplify]: Simplify (+ 0 0) into 0 1.807 * [taylor]: Taking taylor expansion of 0 in im 1.807 * [backup-simplify]: Simplify 0 into 0 1.808 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.808 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.809 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify 0 into 0 1.809 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.809 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1) 1.809 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 1.809 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.809 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.809 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.809 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.809 * [taylor]: Taking taylor expansion of re in im 1.809 * [backup-simplify]: Simplify re into re 1.809 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.809 * [taylor]: Taking taylor expansion of im in im 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.810 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.810 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.810 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.810 * [backup-simplify]: Simplify (+ 0 0) into 0 1.810 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.810 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.810 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.810 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.810 * [taylor]: Taking taylor expansion of re in re 1.810 * [backup-simplify]: Simplify 0 into 0 1.810 * [backup-simplify]: Simplify 1 into 1 1.810 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.810 * [taylor]: Taking taylor expansion of im in re 1.810 * [backup-simplify]: Simplify im into im 1.810 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.810 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.810 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.810 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.811 * [backup-simplify]: Simplify (+ 0 0) into 0 1.811 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.811 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.811 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.811 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.811 * [taylor]: Taking taylor expansion of re in re 1.811 * [backup-simplify]: Simplify 0 into 0 1.811 * [backup-simplify]: Simplify 1 into 1 1.811 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.811 * [taylor]: Taking taylor expansion of im in re 1.811 * [backup-simplify]: Simplify im into im 1.811 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.811 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.811 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.811 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.811 * [backup-simplify]: Simplify (+ 0 0) into 0 1.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.812 * [taylor]: Taking taylor expansion of im in im 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [taylor]: Taking taylor expansion of 0 in im 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 0 into 0 1.812 * [backup-simplify]: Simplify 1 into 1 1.812 * [backup-simplify]: Simplify (* 1 1) into 1 1.812 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.812 * [backup-simplify]: Simplify (+ 1 0) into 1 1.813 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.813 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.813 * [taylor]: Taking taylor expansion of 1/2 in im 1.813 * [backup-simplify]: Simplify 1/2 into 1/2 1.813 * [taylor]: Taking taylor expansion of im in im 1.813 * [backup-simplify]: Simplify 0 into 0 1.813 * [backup-simplify]: Simplify 1 into 1 1.813 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify 0 into 0 1.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.815 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.815 * [backup-simplify]: Simplify (+ 0 0) into 0 1.815 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.815 * [taylor]: Taking taylor expansion of 0 in im 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.816 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (sqrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.816 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.816 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.816 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.816 * [taylor]: Taking taylor expansion of im in im 1.816 * [backup-simplify]: Simplify 0 into 0 1.816 * [backup-simplify]: Simplify 1 into 1 1.816 * [backup-simplify]: Simplify (* 1 1) into 1 1.816 * [backup-simplify]: Simplify (/ 1 1) into 1 1.816 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.816 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.817 * [taylor]: Taking taylor expansion of re in im 1.817 * [backup-simplify]: Simplify re into re 1.817 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.817 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.817 * [backup-simplify]: Simplify (+ 1 0) into 1 1.817 * [backup-simplify]: Simplify (sqrt 1) into 1 1.817 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.818 * [backup-simplify]: Simplify (+ 0 0) into 0 1.818 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.818 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.819 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.819 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.819 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.819 * [taylor]: Taking taylor expansion of im in re 1.819 * [backup-simplify]: Simplify im into im 1.819 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.819 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.819 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.819 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.819 * [taylor]: Taking taylor expansion of re in re 1.819 * [backup-simplify]: Simplify 0 into 0 1.819 * [backup-simplify]: Simplify 1 into 1 1.819 * [backup-simplify]: Simplify (* 1 1) into 1 1.819 * [backup-simplify]: Simplify (/ 1 1) into 1 1.819 * [backup-simplify]: Simplify (+ 0 1) into 1 1.820 * [backup-simplify]: Simplify (sqrt 1) into 1 1.820 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.821 * [backup-simplify]: Simplify (+ 0 0) into 0 1.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.821 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.821 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.821 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.821 * [taylor]: Taking taylor expansion of im in re 1.821 * [backup-simplify]: Simplify im into im 1.821 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.821 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.821 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.821 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.821 * [taylor]: Taking taylor expansion of re in re 1.821 * [backup-simplify]: Simplify 0 into 0 1.821 * [backup-simplify]: Simplify 1 into 1 1.822 * [backup-simplify]: Simplify (* 1 1) into 1 1.822 * [backup-simplify]: Simplify (/ 1 1) into 1 1.822 * [backup-simplify]: Simplify (+ 0 1) into 1 1.822 * [backup-simplify]: Simplify (sqrt 1) into 1 1.823 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.823 * [backup-simplify]: Simplify (+ 0 0) into 0 1.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.824 * [taylor]: Taking taylor expansion of 1 in im 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [taylor]: Taking taylor expansion of 0 in im 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.825 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.826 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.826 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.826 * [taylor]: Taking taylor expansion of 1/2 in im 1.826 * [backup-simplify]: Simplify 1/2 into 1/2 1.826 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.826 * [taylor]: Taking taylor expansion of im in im 1.826 * [backup-simplify]: Simplify 0 into 0 1.826 * [backup-simplify]: Simplify 1 into 1 1.826 * [backup-simplify]: Simplify (* 1 1) into 1 1.826 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.827 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.827 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify 0 into 0 1.827 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.827 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.828 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.828 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.829 * [backup-simplify]: Simplify (+ 0 0) into 0 1.829 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.829 * [taylor]: Taking taylor expansion of 0 in im 1.829 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify 0 into 0 1.830 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.831 * [backup-simplify]: Simplify (* (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (sqrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.831 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.831 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.831 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.831 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.831 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.831 * [taylor]: Taking taylor expansion of im in im 1.831 * [backup-simplify]: Simplify 0 into 0 1.831 * [backup-simplify]: Simplify 1 into 1 1.831 * [backup-simplify]: Simplify (* 1 1) into 1 1.831 * [backup-simplify]: Simplify (/ 1 1) into 1 1.831 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.831 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.831 * [taylor]: Taking taylor expansion of re in im 1.831 * [backup-simplify]: Simplify re into re 1.831 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.831 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.832 * [backup-simplify]: Simplify (+ 1 0) into 1 1.832 * [backup-simplify]: Simplify (sqrt 1) into 1 1.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.833 * [backup-simplify]: Simplify (+ 0 0) into 0 1.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.833 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.833 * [taylor]: Taking taylor expansion of im in re 1.833 * [backup-simplify]: Simplify im into im 1.833 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.833 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.833 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.833 * [taylor]: Taking taylor expansion of re in re 1.833 * [backup-simplify]: Simplify 0 into 0 1.833 * [backup-simplify]: Simplify 1 into 1 1.834 * [backup-simplify]: Simplify (* 1 1) into 1 1.834 * [backup-simplify]: Simplify (/ 1 1) into 1 1.834 * [backup-simplify]: Simplify (+ 0 1) into 1 1.834 * [backup-simplify]: Simplify (sqrt 1) into 1 1.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.835 * [backup-simplify]: Simplify (+ 0 0) into 0 1.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.836 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.836 * [taylor]: Taking taylor expansion of im in re 1.836 * [backup-simplify]: Simplify im into im 1.836 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.836 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.836 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.836 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.836 * [taylor]: Taking taylor expansion of re in re 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.836 * [backup-simplify]: Simplify (* 1 1) into 1 1.836 * [backup-simplify]: Simplify (/ 1 1) into 1 1.837 * [backup-simplify]: Simplify (+ 0 1) into 1 1.837 * [backup-simplify]: Simplify (sqrt 1) into 1 1.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.838 * [taylor]: Taking taylor expansion of 1 in im 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [taylor]: Taking taylor expansion of 0 in im 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.839 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.840 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.840 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.840 * [taylor]: Taking taylor expansion of 1/2 in im 1.840 * [backup-simplify]: Simplify 1/2 into 1/2 1.840 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.840 * [taylor]: Taking taylor expansion of im in im 1.840 * [backup-simplify]: Simplify 0 into 0 1.840 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (* 1 1) into 1 1.841 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.842 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify 0 into 0 1.842 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.842 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.843 * [taylor]: Taking taylor expansion of 0 in im 1.843 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.844 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.845 * * * [progress]: simplifying candidates 1.847 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) 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im im))) (cbrt (+ (* re re) (* im im))))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt 1))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1)) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (sqrt (+ (* re re) (* im im)))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) 1) (* (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (* (sqrt (sqrt (+ (pow (* re re) 3) (pow (* im im) 3)))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) 1.850 * * [simplify]: Extracting # 0 : cost 0 1.850 * * [simplify]: Extracting # 1 : cost 0 1.850 * * [simplify]: Extracting # 2 : cost 0 1.851 * * [simplify]: Extracting # 3 : cost 0 1.851 * * [simplify]: Extracting # 4 : cost 0 1.851 * * [simplify]: Extracting # 5 : cost 0 1.851 * * [simplify]: Extracting # 6 : cost 0 1.851 * * [simplify]: Extracting # 7 : cost 0 1.851 * * [simplify]: iteration 0 : 138 enodes (cost 3069 ) 1.886 * * [simplify]: Extracting # 0 : cost 0 1.886 * * [simplify]: Extracting # 1 : cost 0 1.887 * * [simplify]: Extracting # 2 : cost 0 1.887 * * [simplify]: Extracting # 3 : cost 0 1.887 * * [simplify]: Extracting # 4 : cost 0 1.887 * * [simplify]: Extracting # 5 : cost 0 1.888 * * [simplify]: iteration 1 : 259 enodes (cost 1761 ) 1.938 * * [simplify]: Extracting # 0 : cost 0 1.939 * * [simplify]: Extracting # 1 : cost 0 1.942 * * [simplify]: Extracting # 2 : cost 0 1.943 * * [simplify]: Extracting # 3 : cost 0 1.944 * * [simplify]: Extracting # 4 : cost 0 1.944 * * [simplify]: Extracting # 5 : cost 0 1.945 * * [simplify]: iteration 2 : 665 enodes (cost 1607 ) 2.250 * * [simplify]: Extracting # 0 : cost 0 2.252 * * [simplify]: Extracting # 1 : cost 0 2.254 * * [simplify]: Extracting # 2 : cost 0 2.256 * * [simplify]: Extracting # 3 : cost 0 2.258 * * [simplify]: Extracting # 4 : cost 0 2.260 * * [simplify]: Extracting # 5 : cost 0 2.261 * * [simplify]: iteration 3 : 1934 enodes (cost 1548 ) 3.191 * * [simplify]: Extracting # 0 : cost 0 3.197 * * [simplify]: Extracting # 1 : cost 0 3.206 * * [simplify]: Extracting # 2 : cost 0 3.212 * * [simplify]: Extracting # 3 : cost 0 3.217 * * [simplify]: Extracting # 4 : cost 0 3.222 * * [simplify]: iteration done: 5000 enodes (cost 1507 ) 3.223 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (pow (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) 4) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re 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(sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 2 1/2 1 1/2 (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 5) (* (fabs (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (fabs (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (pow (cbrt (sqrt (sqrt (+ (* re re) (* im im))))) 4) (* (sqrt (cbrt (sqrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (* (sqrt (sqrt (cbrt (+ (* re re) (* im im))))) (sqrt (sqrt (+ (* re re) (* im im))))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (pow (sqrt (sqrt (sqrt (+ (* re re) (* im im))))) 3) (sqrt (+ (* re re) (* im im))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (pow im 6) (pow re 6))))) (* (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (- (pow re 4) (pow im 4))))) im re (- re) im re (- re) (- im re) 0 (* -2 re) im re (- re) 3.224 * * * [progress]: adding candidates to table 3.490 * * [progress]: iteration 3 / 4 3.490 * * * [progress]: picking best candidate 3.506 * * * * [pick]: Picked # 3.506 * * * [progress]: localizing error 3.517 * * * [progress]: generating rewritten candidates 3.517 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2) 3.525 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 3.562 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 3.585 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 3.600 * * * [progress]: generating series expansions 3.600 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2) 3.602 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 3.602 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 3.602 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.602 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.602 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.602 * [taylor]: Taking taylor expansion of re in im 3.602 * [backup-simplify]: Simplify re into re 3.602 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.602 * [taylor]: Taking taylor expansion of im in im 3.602 * [backup-simplify]: Simplify 0 into 0 3.602 * [backup-simplify]: Simplify 1 into 1 3.602 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.602 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.602 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.602 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.603 * [backup-simplify]: Simplify (+ 0 0) into 0 3.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.603 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.603 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.603 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.603 * [taylor]: Taking taylor expansion of re in re 3.603 * [backup-simplify]: Simplify 0 into 0 3.603 * [backup-simplify]: Simplify 1 into 1 3.603 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.603 * [taylor]: Taking taylor expansion of im in re 3.603 * [backup-simplify]: Simplify im into im 3.603 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.603 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.603 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.603 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.603 * [backup-simplify]: Simplify (+ 0 0) into 0 3.603 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.603 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.603 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.604 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.604 * [taylor]: Taking taylor expansion of re in re 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.604 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.604 * [taylor]: Taking taylor expansion of im in re 3.604 * [backup-simplify]: Simplify im into im 3.604 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.604 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.604 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.604 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.604 * [backup-simplify]: Simplify (+ 0 0) into 0 3.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.604 * [taylor]: Taking taylor expansion of im in im 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [backup-simplify]: Simplify 1 into 1 3.604 * [backup-simplify]: Simplify 0 into 0 3.604 * [taylor]: Taking taylor expansion of 0 in im 3.604 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 0 into 0 3.605 * [backup-simplify]: Simplify 1 into 1 3.605 * [backup-simplify]: Simplify (* 1 1) into 1 3.605 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.605 * [backup-simplify]: Simplify (+ 1 0) into 1 3.606 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.606 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 3.606 * [taylor]: Taking taylor expansion of 1/2 in im 3.606 * [backup-simplify]: Simplify 1/2 into 1/2 3.606 * [taylor]: Taking taylor expansion of im in im 3.606 * [backup-simplify]: Simplify 0 into 0 3.606 * [backup-simplify]: Simplify 1 into 1 3.606 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.607 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify 0 into 0 3.607 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.607 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.608 * [backup-simplify]: Simplify (+ 0 0) into 0 3.608 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.608 * [taylor]: Taking taylor expansion of 0 in im 3.608 * [backup-simplify]: Simplify 0 into 0 3.608 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 3.611 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.611 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.611 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.611 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.611 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.611 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.611 * [taylor]: Taking taylor expansion of im in im 3.611 * [backup-simplify]: Simplify 0 into 0 3.611 * [backup-simplify]: Simplify 1 into 1 3.611 * [backup-simplify]: Simplify (* 1 1) into 1 3.612 * [backup-simplify]: Simplify (/ 1 1) into 1 3.612 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.612 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.612 * [taylor]: Taking taylor expansion of re in im 3.612 * [backup-simplify]: Simplify re into re 3.612 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.612 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.612 * [backup-simplify]: Simplify (+ 1 0) into 1 3.612 * [backup-simplify]: Simplify (sqrt 1) into 1 3.613 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.613 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.613 * [backup-simplify]: Simplify (+ 0 0) into 0 3.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.614 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.614 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.614 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.614 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.614 * [taylor]: Taking taylor expansion of im in re 3.614 * [backup-simplify]: Simplify im into im 3.614 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.614 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.614 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.614 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.614 * [taylor]: Taking taylor expansion of re in re 3.614 * [backup-simplify]: Simplify 0 into 0 3.614 * [backup-simplify]: Simplify 1 into 1 3.614 * [backup-simplify]: Simplify (* 1 1) into 1 3.614 * [backup-simplify]: Simplify (/ 1 1) into 1 3.615 * [backup-simplify]: Simplify (+ 0 1) into 1 3.615 * [backup-simplify]: Simplify (sqrt 1) into 1 3.615 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.616 * [backup-simplify]: Simplify (+ 0 0) into 0 3.616 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.616 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.616 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.616 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.616 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.616 * [taylor]: Taking taylor expansion of im in re 3.616 * [backup-simplify]: Simplify im into im 3.616 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.616 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.617 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.617 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.617 * [taylor]: Taking taylor expansion of re in re 3.617 * [backup-simplify]: Simplify 0 into 0 3.617 * [backup-simplify]: Simplify 1 into 1 3.617 * [backup-simplify]: Simplify (* 1 1) into 1 3.617 * [backup-simplify]: Simplify (/ 1 1) into 1 3.617 * [backup-simplify]: Simplify (+ 0 1) into 1 3.617 * [backup-simplify]: Simplify (sqrt 1) into 1 3.618 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.618 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.618 * [backup-simplify]: Simplify (+ 0 0) into 0 3.619 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.619 * [taylor]: Taking taylor expansion of 1 in im 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [taylor]: Taking taylor expansion of 0 in im 3.619 * [backup-simplify]: Simplify 0 into 0 3.619 * [backup-simplify]: Simplify 1 into 1 3.619 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.620 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.620 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.621 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.621 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.621 * [taylor]: Taking taylor expansion of 1/2 in im 3.621 * [backup-simplify]: Simplify 1/2 into 1/2 3.621 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.621 * [taylor]: Taking taylor expansion of im in im 3.621 * [backup-simplify]: Simplify 0 into 0 3.621 * [backup-simplify]: Simplify 1 into 1 3.621 * [backup-simplify]: Simplify (* 1 1) into 1 3.621 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.622 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify 0 into 0 3.622 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.622 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.623 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.623 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.624 * [backup-simplify]: Simplify (+ 0 0) into 0 3.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.624 * [taylor]: Taking taylor expansion of 0 in im 3.624 * [backup-simplify]: Simplify 0 into 0 3.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.625 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.625 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 3.625 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 3.625 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 3.625 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.625 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.625 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.625 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.625 * [taylor]: Taking taylor expansion of im in im 3.625 * [backup-simplify]: Simplify 0 into 0 3.625 * [backup-simplify]: Simplify 1 into 1 3.626 * [backup-simplify]: Simplify (* 1 1) into 1 3.626 * [backup-simplify]: Simplify (/ 1 1) into 1 3.626 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.626 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.626 * [taylor]: Taking taylor expansion of re in im 3.626 * [backup-simplify]: Simplify re into re 3.626 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.626 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.626 * [backup-simplify]: Simplify (+ 1 0) into 1 3.627 * [backup-simplify]: Simplify (sqrt 1) into 1 3.627 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.628 * [backup-simplify]: Simplify (+ 0 0) into 0 3.628 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.628 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.628 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.628 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.628 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.628 * [taylor]: Taking taylor expansion of im in re 3.628 * [backup-simplify]: Simplify im into im 3.628 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.628 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.628 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.628 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.628 * [taylor]: Taking taylor expansion of re in re 3.628 * [backup-simplify]: Simplify 0 into 0 3.628 * [backup-simplify]: Simplify 1 into 1 3.628 * [backup-simplify]: Simplify (* 1 1) into 1 3.629 * [backup-simplify]: Simplify (/ 1 1) into 1 3.629 * [backup-simplify]: Simplify (+ 0 1) into 1 3.629 * [backup-simplify]: Simplify (sqrt 1) into 1 3.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.630 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.630 * [backup-simplify]: Simplify (+ 0 0) into 0 3.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.630 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.631 * [taylor]: Taking taylor expansion of im in re 3.631 * [backup-simplify]: Simplify im into im 3.631 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.631 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.631 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.631 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.631 * [taylor]: Taking taylor expansion of re in re 3.631 * [backup-simplify]: Simplify 0 into 0 3.631 * [backup-simplify]: Simplify 1 into 1 3.631 * [backup-simplify]: Simplify (* 1 1) into 1 3.631 * [backup-simplify]: Simplify (/ 1 1) into 1 3.631 * [backup-simplify]: Simplify (+ 0 1) into 1 3.632 * [backup-simplify]: Simplify (sqrt 1) into 1 3.632 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.633 * [backup-simplify]: Simplify (+ 0 0) into 0 3.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.633 * [taylor]: Taking taylor expansion of 1 in im 3.633 * [backup-simplify]: Simplify 1 into 1 3.633 * [taylor]: Taking taylor expansion of 0 in im 3.633 * [backup-simplify]: Simplify 0 into 0 3.633 * [backup-simplify]: Simplify 1 into 1 3.634 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.634 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.635 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.635 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 3.635 * [taylor]: Taking taylor expansion of 1/2 in im 3.635 * [backup-simplify]: Simplify 1/2 into 1/2 3.635 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.635 * [taylor]: Taking taylor expansion of im in im 3.635 * [backup-simplify]: Simplify 0 into 0 3.635 * [backup-simplify]: Simplify 1 into 1 3.635 * [backup-simplify]: Simplify (* 1 1) into 1 3.636 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.636 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.636 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 0 into 0 3.636 * [backup-simplify]: Simplify 0 into 0 3.637 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.637 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.637 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.638 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.638 * [backup-simplify]: Simplify (+ 0 0) into 0 3.638 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.638 * [taylor]: Taking taylor expansion of 0 in im 3.638 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.639 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify 0 into 0 3.639 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 3.639 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 3.640 * [backup-simplify]: Simplify (/ (* im im) (+ re (sqrt (+ (* re re) (* im im))))) into (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) 3.640 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 3.640 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 3.640 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.640 * [taylor]: Taking taylor expansion of im in re 3.640 * [backup-simplify]: Simplify im into im 3.640 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 3.640 * [taylor]: Taking taylor expansion of re in re 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify 1 into 1 3.640 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.640 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.640 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.640 * [taylor]: Taking taylor expansion of re in re 3.640 * [backup-simplify]: Simplify 0 into 0 3.640 * [backup-simplify]: Simplify 1 into 1 3.640 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.640 * [taylor]: Taking taylor expansion of im in re 3.640 * [backup-simplify]: Simplify im into im 3.640 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.640 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.640 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.640 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.640 * [backup-simplify]: Simplify (+ 0 0) into 0 3.641 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.641 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.641 * [backup-simplify]: Simplify (+ 0 im) into im 3.641 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 3.641 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 3.641 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.641 * [taylor]: Taking taylor expansion of im in im 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 3.641 * [taylor]: Taking taylor expansion of re in im 3.641 * [backup-simplify]: Simplify re into re 3.641 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.641 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.641 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.641 * [taylor]: Taking taylor expansion of re in im 3.641 * [backup-simplify]: Simplify re into re 3.641 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.641 * [taylor]: Taking taylor expansion of im in im 3.641 * [backup-simplify]: Simplify 0 into 0 3.641 * [backup-simplify]: Simplify 1 into 1 3.641 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.641 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.641 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.641 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.641 * [backup-simplify]: Simplify (+ 0 0) into 0 3.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.642 * [backup-simplify]: Simplify (* 1 1) into 1 3.642 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 3.642 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 3.642 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 3.642 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.642 * [taylor]: Taking taylor expansion of im in im 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.642 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 3.642 * [taylor]: Taking taylor expansion of re in im 3.642 * [backup-simplify]: Simplify re into re 3.642 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.642 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.642 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.642 * [taylor]: Taking taylor expansion of re in im 3.642 * [backup-simplify]: Simplify re into re 3.642 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.642 * [taylor]: Taking taylor expansion of im in im 3.642 * [backup-simplify]: Simplify 0 into 0 3.642 * [backup-simplify]: Simplify 1 into 1 3.642 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.642 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.642 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.642 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.643 * [backup-simplify]: Simplify (+ 0 0) into 0 3.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.643 * [backup-simplify]: Simplify (* 1 1) into 1 3.643 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 3.643 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 3.643 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 3.643 * [taylor]: Taking taylor expansion of 1/2 in re 3.643 * [backup-simplify]: Simplify 1/2 into 1/2 3.643 * [taylor]: Taking taylor expansion of re in re 3.643 * [backup-simplify]: Simplify 0 into 0 3.643 * [backup-simplify]: Simplify 1 into 1 3.643 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 3.644 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 3.644 * [backup-simplify]: Simplify 0 into 0 3.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.644 * [backup-simplify]: Simplify (+ 0 0) into 0 3.644 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 3.644 * [taylor]: Taking taylor expansion of 0 in re 3.645 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify 0 into 0 3.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.645 * [backup-simplify]: Simplify 0 into 0 3.646 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.646 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.646 * [backup-simplify]: Simplify (* 1 1) into 1 3.646 * [backup-simplify]: Simplify (+ 0 1) into 1 3.647 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 3.647 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 3.647 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 3.647 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 3.647 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 3.647 * [taylor]: Taking taylor expansion of 1/8 in re 3.647 * [backup-simplify]: Simplify 1/8 into 1/8 3.647 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 3.647 * [taylor]: Taking taylor expansion of (pow re 3) in re 3.647 * [taylor]: Taking taylor expansion of re in re 3.647 * [backup-simplify]: Simplify 0 into 0 3.647 * [backup-simplify]: Simplify 1 into 1 3.648 * [backup-simplify]: Simplify (* 1 1) into 1 3.648 * [backup-simplify]: Simplify (* 1 1) into 1 3.648 * [backup-simplify]: Simplify (/ 1 1) into 1 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.649 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.650 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.650 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.651 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.651 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.652 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.653 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.653 * [backup-simplify]: Simplify (- 0) into 0 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.653 * [backup-simplify]: Simplify 0 into 0 3.653 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify (/ (* (/ 1 im) (/ 1 im)) (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) 3.654 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 3.654 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 3.654 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 3.654 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.654 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.654 * [taylor]: Taking taylor expansion of re in re 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 1 into 1 3.654 * [backup-simplify]: Simplify (/ 1 1) into 1 3.654 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.654 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.654 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.654 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.654 * [taylor]: Taking taylor expansion of im in re 3.654 * [backup-simplify]: Simplify im into im 3.654 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.654 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.654 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.654 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.654 * [taylor]: Taking taylor expansion of re in re 3.654 * [backup-simplify]: Simplify 0 into 0 3.654 * [backup-simplify]: Simplify 1 into 1 3.655 * [backup-simplify]: Simplify (* 1 1) into 1 3.655 * [backup-simplify]: Simplify (/ 1 1) into 1 3.655 * [backup-simplify]: Simplify (+ 0 1) into 1 3.656 * [backup-simplify]: Simplify (sqrt 1) into 1 3.656 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.656 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.657 * [backup-simplify]: Simplify (+ 0 0) into 0 3.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.657 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.657 * [taylor]: Taking taylor expansion of im in re 3.657 * [backup-simplify]: Simplify im into im 3.657 * [backup-simplify]: Simplify (+ 1 1) into 2 3.657 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.657 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 3.657 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 3.657 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 3.658 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 3.658 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.658 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.658 * [taylor]: Taking taylor expansion of re in im 3.658 * [backup-simplify]: Simplify re into re 3.658 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.658 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.658 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.658 * [taylor]: Taking taylor expansion of im in im 3.658 * [backup-simplify]: Simplify 0 into 0 3.658 * [backup-simplify]: Simplify 1 into 1 3.658 * [backup-simplify]: Simplify (* 1 1) into 1 3.658 * [backup-simplify]: Simplify (/ 1 1) into 1 3.658 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.658 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.658 * [taylor]: Taking taylor expansion of re in im 3.658 * [backup-simplify]: Simplify re into re 3.658 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.658 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.659 * [backup-simplify]: Simplify (+ 1 0) into 1 3.659 * [backup-simplify]: Simplify (sqrt 1) into 1 3.659 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.660 * [backup-simplify]: Simplify (+ 0 0) into 0 3.660 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.660 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.660 * [taylor]: Taking taylor expansion of im in im 3.660 * [backup-simplify]: Simplify 0 into 0 3.660 * [backup-simplify]: Simplify 1 into 1 3.660 * [backup-simplify]: Simplify (+ 0 1) into 1 3.661 * [backup-simplify]: Simplify (* 1 1) into 1 3.661 * [backup-simplify]: Simplify (* 1 1) into 1 3.661 * [backup-simplify]: Simplify (/ 1 1) into 1 3.661 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 3.661 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 3.661 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.661 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.661 * [taylor]: Taking taylor expansion of re in im 3.661 * [backup-simplify]: Simplify re into re 3.661 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.661 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.661 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.661 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.661 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.661 * [taylor]: Taking taylor expansion of im in im 3.661 * [backup-simplify]: Simplify 0 into 0 3.661 * [backup-simplify]: Simplify 1 into 1 3.662 * [backup-simplify]: Simplify (* 1 1) into 1 3.662 * [backup-simplify]: Simplify (/ 1 1) into 1 3.662 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.662 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.662 * [taylor]: Taking taylor expansion of re in im 3.662 * [backup-simplify]: Simplify re into re 3.662 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.662 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.662 * [backup-simplify]: Simplify (+ 1 0) into 1 3.662 * [backup-simplify]: Simplify (sqrt 1) into 1 3.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.663 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.663 * [backup-simplify]: Simplify (+ 0 0) into 0 3.664 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.664 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.664 * [taylor]: Taking taylor expansion of im in im 3.664 * [backup-simplify]: Simplify 0 into 0 3.664 * [backup-simplify]: Simplify 1 into 1 3.664 * [backup-simplify]: Simplify (+ 0 1) into 1 3.664 * [backup-simplify]: Simplify (* 1 1) into 1 3.664 * [backup-simplify]: Simplify (* 1 1) into 1 3.665 * [backup-simplify]: Simplify (/ 1 1) into 1 3.665 * [taylor]: Taking taylor expansion of 1 in re 3.665 * [backup-simplify]: Simplify 1 into 1 3.665 * [backup-simplify]: Simplify 0 into 0 3.665 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.665 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 3.665 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 3.666 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 3.666 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.666 * [taylor]: Taking taylor expansion of re in re 3.666 * [backup-simplify]: Simplify 0 into 0 3.666 * [backup-simplify]: Simplify 1 into 1 3.666 * [backup-simplify]: Simplify (/ 1 1) into 1 3.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.667 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.667 * [backup-simplify]: Simplify (- 0) into 0 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify 0 into 0 3.667 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.668 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.668 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.668 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.669 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 3.669 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.669 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 3.670 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 3.670 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 3.670 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 3.670 * [taylor]: Taking taylor expansion of 1/2 in re 3.670 * [backup-simplify]: Simplify 1/2 into 1/2 3.670 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.670 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.670 * [taylor]: Taking taylor expansion of re in re 3.670 * [backup-simplify]: Simplify 0 into 0 3.670 * [backup-simplify]: Simplify 1 into 1 3.670 * [backup-simplify]: Simplify (* 1 1) into 1 3.671 * [backup-simplify]: Simplify (/ 1 1) into 1 3.671 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.672 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.672 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.672 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.673 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.674 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.674 * [backup-simplify]: Simplify 0 into 0 3.674 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.675 * [backup-simplify]: Simplify (- 0) into 0 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify (/ (* (/ 1 (- im)) (/ 1 (- im))) (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) 3.675 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 3.675 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 3.675 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 3.675 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.675 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.675 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.675 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.675 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.675 * [taylor]: Taking taylor expansion of im in re 3.675 * [backup-simplify]: Simplify im into im 3.675 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.675 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.675 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.675 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.675 * [taylor]: Taking taylor expansion of re in re 3.675 * [backup-simplify]: Simplify 0 into 0 3.675 * [backup-simplify]: Simplify 1 into 1 3.676 * [backup-simplify]: Simplify (* 1 1) into 1 3.676 * [backup-simplify]: Simplify (/ 1 1) into 1 3.676 * [backup-simplify]: Simplify (+ 0 1) into 1 3.676 * [backup-simplify]: Simplify (sqrt 1) into 1 3.677 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.677 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.677 * [backup-simplify]: Simplify (+ 0 0) into 0 3.678 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.678 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.678 * [taylor]: Taking taylor expansion of re in re 3.678 * [backup-simplify]: Simplify 0 into 0 3.678 * [backup-simplify]: Simplify 1 into 1 3.678 * [backup-simplify]: Simplify (/ 1 1) into 1 3.678 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.678 * [taylor]: Taking taylor expansion of im in re 3.678 * [backup-simplify]: Simplify im into im 3.678 * [backup-simplify]: Simplify (- 1) into -1 3.678 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.678 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.679 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0 3.679 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.679 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.679 * [backup-simplify]: Simplify (- 0) into 0 3.680 * [backup-simplify]: Simplify (+ 0 0) into 0 3.680 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0 3.680 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.681 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.681 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.681 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.682 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.682 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.682 * [backup-simplify]: Simplify (- 0) into 0 3.683 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.683 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2 3.683 * [backup-simplify]: Simplify (/ 1 1/2) into 2 3.683 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 3.683 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 3.683 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.683 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.684 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.684 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.684 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.684 * [taylor]: Taking taylor expansion of im in im 3.684 * [backup-simplify]: Simplify 0 into 0 3.684 * [backup-simplify]: Simplify 1 into 1 3.684 * [backup-simplify]: Simplify (* 1 1) into 1 3.684 * [backup-simplify]: Simplify (/ 1 1) into 1 3.684 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.684 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.684 * [taylor]: Taking taylor expansion of re in im 3.684 * [backup-simplify]: Simplify re into re 3.684 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.684 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.684 * [backup-simplify]: Simplify (+ 1 0) into 1 3.685 * [backup-simplify]: Simplify (sqrt 1) into 1 3.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.686 * [backup-simplify]: Simplify (+ 0 0) into 0 3.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.686 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.686 * [taylor]: Taking taylor expansion of re in im 3.686 * [backup-simplify]: Simplify re into re 3.686 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.686 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.686 * [taylor]: Taking taylor expansion of im in im 3.686 * [backup-simplify]: Simplify 0 into 0 3.686 * [backup-simplify]: Simplify 1 into 1 3.686 * [backup-simplify]: Simplify (+ 1 0) into 1 3.687 * [backup-simplify]: Simplify (* 1 1) into 1 3.687 * [backup-simplify]: Simplify (* 1 1) into 1 3.687 * [backup-simplify]: Simplify (/ 1 1) into 1 3.687 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 3.687 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 3.687 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.687 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.687 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.687 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.687 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.687 * [taylor]: Taking taylor expansion of im in im 3.687 * [backup-simplify]: Simplify 0 into 0 3.687 * [backup-simplify]: Simplify 1 into 1 3.687 * [backup-simplify]: Simplify (* 1 1) into 1 3.688 * [backup-simplify]: Simplify (/ 1 1) into 1 3.688 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.688 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.688 * [taylor]: Taking taylor expansion of re in im 3.688 * [backup-simplify]: Simplify re into re 3.688 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.688 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.688 * [backup-simplify]: Simplify (+ 1 0) into 1 3.688 * [backup-simplify]: Simplify (sqrt 1) into 1 3.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.689 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.689 * [backup-simplify]: Simplify (+ 0 0) into 0 3.690 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.690 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.690 * [taylor]: Taking taylor expansion of re in im 3.690 * [backup-simplify]: Simplify re into re 3.690 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.690 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.690 * [taylor]: Taking taylor expansion of im in im 3.690 * [backup-simplify]: Simplify 0 into 0 3.690 * [backup-simplify]: Simplify 1 into 1 3.690 * [backup-simplify]: Simplify (+ 1 0) into 1 3.690 * [backup-simplify]: Simplify (* 1 1) into 1 3.691 * [backup-simplify]: Simplify (* 1 1) into 1 3.691 * [backup-simplify]: Simplify (/ 1 1) into 1 3.691 * [taylor]: Taking taylor expansion of 1 in re 3.691 * [backup-simplify]: Simplify 1 into 1 3.691 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.691 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 3.691 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re)) 3.692 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 3.692 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.692 * [taylor]: Taking taylor expansion of re in re 3.692 * [backup-simplify]: Simplify 0 into 0 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify (/ 1 1) into 1 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify 1 into 1 3.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.693 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.694 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 3.694 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.694 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.695 * [backup-simplify]: Simplify (- 0) into 0 3.695 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 3.695 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 3.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 3.695 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 3.695 * [taylor]: Taking taylor expansion of 1/2 in re 3.695 * [backup-simplify]: Simplify 1/2 into 1/2 3.695 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.695 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.695 * [taylor]: Taking taylor expansion of re in re 3.695 * [backup-simplify]: Simplify 0 into 0 3.695 * [backup-simplify]: Simplify 1 into 1 3.696 * [backup-simplify]: Simplify (* 1 1) into 1 3.696 * [backup-simplify]: Simplify (/ 1 1) into 1 3.696 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.697 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.697 * [backup-simplify]: Simplify 0 into 0 3.697 * [backup-simplify]: Simplify 0 into 0 3.698 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.699 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.701 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.702 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 3.702 * [backup-simplify]: Simplify (+ 0 0) into 0 3.702 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 3.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 3.703 * [backup-simplify]: Simplify (- 0) into 0 3.703 * [backup-simplify]: Simplify (+ 0 0) into 0 3.704 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0 3.704 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 3.704 * [taylor]: Taking taylor expansion of 0 in re 3.704 * [backup-simplify]: Simplify 0 into 0 3.705 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.706 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.706 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.706 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify 0 into 0 3.707 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 3.707 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 3.707 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im))))))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 3.707 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 3.707 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 3.707 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 3.707 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.707 * [taylor]: Taking taylor expansion of 2.0 in re 3.707 * [backup-simplify]: Simplify 2.0 into 2.0 3.708 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.708 * [taylor]: Taking taylor expansion of im in re 3.708 * [backup-simplify]: Simplify im into im 3.708 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 3.708 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 3.708 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 3.708 * [taylor]: Taking taylor expansion of re in re 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 1 into 1 3.708 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.708 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.708 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.708 * [taylor]: Taking taylor expansion of re in re 3.708 * [backup-simplify]: Simplify 0 into 0 3.708 * [backup-simplify]: Simplify 1 into 1 3.708 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.708 * [taylor]: Taking taylor expansion of im in re 3.708 * [backup-simplify]: Simplify im into im 3.708 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.708 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.708 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.708 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.709 * [backup-simplify]: Simplify (+ 0 0) into 0 3.709 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.709 * [backup-simplify]: Simplify (+ 0 im) into im 3.709 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 3.709 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 3.709 * [backup-simplify]: Simplify (+ 1 0) into 1 3.709 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 3.709 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 3.709 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 3.709 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 3.709 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.709 * [taylor]: Taking taylor expansion of 2.0 in im 3.710 * [backup-simplify]: Simplify 2.0 into 2.0 3.710 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.710 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.710 * [taylor]: Taking taylor expansion of im in im 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 3.710 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 3.710 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 3.710 * [taylor]: Taking taylor expansion of re in im 3.710 * [backup-simplify]: Simplify re into re 3.710 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.710 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.710 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.710 * [taylor]: Taking taylor expansion of re in im 3.710 * [backup-simplify]: Simplify re into re 3.710 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.710 * [taylor]: Taking taylor expansion of im in im 3.710 * [backup-simplify]: Simplify 0 into 0 3.710 * [backup-simplify]: Simplify 1 into 1 3.710 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.711 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.711 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.711 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.711 * [backup-simplify]: Simplify (+ 0 0) into 0 3.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.711 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 3.711 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 3.711 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 3.711 * [backup-simplify]: Simplify (+ 0 0) into 0 3.711 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 3.711 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 3.712 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 3.712 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 3.712 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.712 * [taylor]: Taking taylor expansion of 2.0 in im 3.712 * [backup-simplify]: Simplify 2.0 into 2.0 3.712 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.712 * [taylor]: Taking taylor expansion of im in im 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 1 into 1 3.712 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 3.712 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 3.712 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 3.712 * [taylor]: Taking taylor expansion of re in im 3.712 * [backup-simplify]: Simplify re into re 3.712 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.712 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.712 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.712 * [taylor]: Taking taylor expansion of re in im 3.712 * [backup-simplify]: Simplify re into re 3.712 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.712 * [taylor]: Taking taylor expansion of im in im 3.712 * [backup-simplify]: Simplify 0 into 0 3.712 * [backup-simplify]: Simplify 1 into 1 3.712 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.713 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.713 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.713 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.713 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.713 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 3.713 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 3.713 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 3.713 * [backup-simplify]: Simplify (+ 0 0) into 0 3.713 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 3.714 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 3.714 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.714 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 3.714 * [taylor]: Taking taylor expansion of 0 in re 3.714 * [backup-simplify]: Simplify 0 into 0 3.714 * [backup-simplify]: Simplify 0 into 0 3.715 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 3.716 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 3.716 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 3.716 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 3.716 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.716 * [taylor]: Taking taylor expansion of 2.0 in re 3.716 * [backup-simplify]: Simplify 2.0 into 2.0 3.716 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.717 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 3.717 * [taylor]: Taking taylor expansion of 1/2 in re 3.717 * [backup-simplify]: Simplify 1/2 into 1/2 3.717 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.717 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 3.718 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 3.718 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.718 * [taylor]: Taking taylor expansion of re in re 3.718 * [backup-simplify]: Simplify 0 into 0 3.718 * [backup-simplify]: Simplify 1 into 1 3.718 * [backup-simplify]: Simplify (/ 1 1) into 1 3.718 * [backup-simplify]: Simplify (sqrt 0) into 0 3.719 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.720 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 3.720 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 3.722 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 3.724 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 3.724 * [backup-simplify]: Simplify 0 into 0 3.724 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 3.725 * [backup-simplify]: Simplify (* 1 1) into 1 3.725 * [backup-simplify]: Simplify (+ 0 1) into 1 3.725 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 3.725 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 3.725 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 3.726 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 3.727 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.727 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 3.729 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 3.729 * [taylor]: Taking taylor expansion of 0 in re 3.729 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify 0 into 0 3.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.731 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.731 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 3.732 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.733 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 3.735 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 3.736 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 3.737 * [backup-simplify]: Simplify 0 into 0 3.737 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 3.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.738 * [backup-simplify]: Simplify (+ 0 0) into 0 3.738 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 3.738 * [backup-simplify]: Simplify (+ 0 0) into 0 3.738 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 3.739 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 3.740 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.740 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 3.742 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 3.742 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 3.742 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 3.742 * [taylor]: Taking taylor expansion of 1/16 in re 3.742 * [backup-simplify]: Simplify 1/16 into 1/16 3.742 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 3.742 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 3.742 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.742 * [taylor]: Taking taylor expansion of 2.0 in re 3.742 * [backup-simplify]: Simplify 2.0 into 2.0 3.743 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.743 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 3.743 * [taylor]: Taking taylor expansion of 1/2 in re 3.743 * [backup-simplify]: Simplify 1/2 into 1/2 3.743 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 3.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 3.744 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 3.744 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 3.744 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 3.744 * [taylor]: Taking taylor expansion of (pow re 5) in re 3.744 * [taylor]: Taking taylor expansion of re in re 3.744 * [backup-simplify]: Simplify 0 into 0 3.744 * [backup-simplify]: Simplify 1 into 1 3.745 * [backup-simplify]: Simplify (* 1 1) into 1 3.745 * [backup-simplify]: Simplify (* 1 1) into 1 3.745 * [backup-simplify]: Simplify (* 1 1) into 1 3.745 * [backup-simplify]: Simplify (/ 1 1) into 1 3.745 * [backup-simplify]: Simplify (sqrt 0) into 0 3.746 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.748 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.751 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 3.753 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 3.754 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 3.754 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.755 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 3.756 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 3.756 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 3.758 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 3.760 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 3.762 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 3.764 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 3.765 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 3.769 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 3.771 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 3.773 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 3.779 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 3.780 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* (/ 1 im) (/ 1 im)) (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 3.780 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 3.780 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 3.780 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 3.780 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.780 * [taylor]: Taking taylor expansion of 2.0 in re 3.780 * [backup-simplify]: Simplify 2.0 into 2.0 3.780 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.780 * [taylor]: Taking taylor expansion of im in re 3.780 * [backup-simplify]: Simplify im into im 3.781 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 3.781 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 3.781 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.781 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.781 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.781 * [taylor]: Taking taylor expansion of re in re 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [backup-simplify]: Simplify (/ 1 1) into 1 3.781 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.781 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.781 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.781 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.781 * [taylor]: Taking taylor expansion of im in re 3.781 * [backup-simplify]: Simplify im into im 3.781 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.781 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.781 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.781 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.781 * [taylor]: Taking taylor expansion of re in re 3.781 * [backup-simplify]: Simplify 0 into 0 3.781 * [backup-simplify]: Simplify 1 into 1 3.781 * [backup-simplify]: Simplify (* 1 1) into 1 3.782 * [backup-simplify]: Simplify (/ 1 1) into 1 3.782 * [backup-simplify]: Simplify (+ 0 1) into 1 3.782 * [backup-simplify]: Simplify (sqrt 1) into 1 3.782 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.783 * [backup-simplify]: Simplify (+ 0 0) into 0 3.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.784 * [backup-simplify]: Simplify (+ 1 1) into 2 3.784 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.784 * [backup-simplify]: Simplify (sqrt 0) into 0 3.785 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 3.785 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 3.785 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.785 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.785 * [taylor]: Taking taylor expansion of 2.0 in im 3.785 * [backup-simplify]: Simplify 2.0 into 2.0 3.788 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.789 * [taylor]: Taking taylor expansion of im in im 3.789 * [backup-simplify]: Simplify 0 into 0 3.789 * [backup-simplify]: Simplify 1 into 1 3.789 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.789 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 3.789 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.789 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.789 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.789 * [taylor]: Taking taylor expansion of re in im 3.789 * [backup-simplify]: Simplify re into re 3.789 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.789 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.789 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.790 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.790 * [taylor]: Taking taylor expansion of im in im 3.790 * [backup-simplify]: Simplify 0 into 0 3.790 * [backup-simplify]: Simplify 1 into 1 3.790 * [backup-simplify]: Simplify (* 1 1) into 1 3.790 * [backup-simplify]: Simplify (/ 1 1) into 1 3.790 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.790 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.790 * [taylor]: Taking taylor expansion of re in im 3.790 * [backup-simplify]: Simplify re into re 3.790 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.790 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.790 * [backup-simplify]: Simplify (+ 1 0) into 1 3.791 * [backup-simplify]: Simplify (sqrt 1) into 1 3.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.792 * [backup-simplify]: Simplify (+ 0 0) into 0 3.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.792 * [backup-simplify]: Simplify (+ 0 1) into 1 3.792 * [backup-simplify]: Simplify (/ 1 1) into 1 3.793 * [backup-simplify]: Simplify (sqrt 0) into 0 3.793 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.793 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 3.793 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.793 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.793 * [taylor]: Taking taylor expansion of 2.0 in im 3.793 * [backup-simplify]: Simplify 2.0 into 2.0 3.794 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.794 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.794 * [taylor]: Taking taylor expansion of im in im 3.794 * [backup-simplify]: Simplify 0 into 0 3.794 * [backup-simplify]: Simplify 1 into 1 3.795 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 3.795 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.795 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.795 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.795 * [taylor]: Taking taylor expansion of re in im 3.795 * [backup-simplify]: Simplify re into re 3.795 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.795 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.795 * [taylor]: Taking taylor expansion of im in im 3.795 * [backup-simplify]: Simplify 0 into 0 3.795 * [backup-simplify]: Simplify 1 into 1 3.795 * [backup-simplify]: Simplify (* 1 1) into 1 3.795 * [backup-simplify]: Simplify (/ 1 1) into 1 3.795 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.795 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.795 * [taylor]: Taking taylor expansion of re in im 3.795 * [backup-simplify]: Simplify re into re 3.795 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.796 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.796 * [backup-simplify]: Simplify (+ 1 0) into 1 3.796 * [backup-simplify]: Simplify (sqrt 1) into 1 3.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.797 * [backup-simplify]: Simplify (+ 0 0) into 0 3.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.798 * [backup-simplify]: Simplify (+ 0 1) into 1 3.798 * [backup-simplify]: Simplify (/ 1 1) into 1 3.798 * [backup-simplify]: Simplify (sqrt 0) into 0 3.799 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.799 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.799 * [taylor]: Taking taylor expansion of 0 in re 3.799 * [backup-simplify]: Simplify 0 into 0 3.799 * [backup-simplify]: Simplify 0 into 0 3.800 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.801 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.801 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 3.801 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.801 * [taylor]: Taking taylor expansion of +nan.0 in re 3.801 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.801 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.801 * [taylor]: Taking taylor expansion of 2.0 in re 3.801 * [backup-simplify]: Simplify 2.0 into 2.0 3.801 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.802 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.803 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.804 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.804 * [backup-simplify]: Simplify 0 into 0 3.804 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 3.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 3.805 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 3.805 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.806 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.807 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 3.807 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.807 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.807 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.807 * [taylor]: Taking taylor expansion of +nan.0 in re 3.807 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.807 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.807 * [taylor]: Taking taylor expansion of 2.0 in re 3.807 * [backup-simplify]: Simplify 2.0 into 2.0 3.807 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.808 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.808 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.808 * [taylor]: Taking taylor expansion of +nan.0 in re 3.808 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.808 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.808 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.808 * [taylor]: Taking taylor expansion of 2.0 in re 3.808 * [backup-simplify]: Simplify 2.0 into 2.0 3.808 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.808 * [taylor]: Taking taylor expansion of re in re 3.809 * [backup-simplify]: Simplify 0 into 0 3.809 * [backup-simplify]: Simplify 1 into 1 3.809 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.810 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.810 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.811 * [backup-simplify]: Simplify (- 0) into 0 3.812 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.813 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.813 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.814 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.814 * [backup-simplify]: Simplify (- 0) into 0 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify 0 into 0 3.814 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.815 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 3.816 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.816 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 3.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 3.817 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 3.818 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.820 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 3.820 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 3.820 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 3.820 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.820 * [taylor]: Taking taylor expansion of +nan.0 in re 3.820 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.820 * [taylor]: Taking taylor expansion of 2.0 in re 3.820 * [backup-simplify]: Simplify 2.0 into 2.0 3.820 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.821 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.821 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.821 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 3.821 * [taylor]: Taking taylor expansion of +nan.0 in re 3.821 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.821 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 3.821 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.821 * [taylor]: Taking taylor expansion of 2.0 in re 3.821 * [backup-simplify]: Simplify 2.0 into 2.0 3.821 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.821 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.821 * [taylor]: Taking taylor expansion of re in re 3.821 * [backup-simplify]: Simplify 0 into 0 3.821 * [backup-simplify]: Simplify 1 into 1 3.822 * [backup-simplify]: Simplify (* 1 1) into 1 3.822 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.822 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.822 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.822 * [taylor]: Taking taylor expansion of +nan.0 in re 3.822 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.822 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.822 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.822 * [taylor]: Taking taylor expansion of 2.0 in re 3.822 * [backup-simplify]: Simplify 2.0 into 2.0 3.822 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.823 * [taylor]: Taking taylor expansion of re in re 3.823 * [backup-simplify]: Simplify 0 into 0 3.823 * [backup-simplify]: Simplify 1 into 1 3.823 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.824 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.824 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.826 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.827 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 3.828 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.828 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.828 * [backup-simplify]: Simplify (- 0) into 0 3.828 * [backup-simplify]: Simplify (+ 0 0) into 0 3.829 * [backup-simplify]: Simplify (- 0) into 0 3.829 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.831 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.832 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.834 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 3.835 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (* (/ 1 (- im)) (/ 1 (- im))) (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 3.835 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 3.835 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 3.835 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 3.835 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.835 * [taylor]: Taking taylor expansion of 2.0 in re 3.835 * [backup-simplify]: Simplify 2.0 into 2.0 3.835 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.835 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.835 * [taylor]: Taking taylor expansion of im in re 3.835 * [backup-simplify]: Simplify im into im 3.836 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 3.836 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 3.836 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 3.836 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.836 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.836 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.836 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.836 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.836 * [taylor]: Taking taylor expansion of im in re 3.836 * [backup-simplify]: Simplify im into im 3.836 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.836 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.836 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.836 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.836 * [taylor]: Taking taylor expansion of re in re 3.836 * [backup-simplify]: Simplify 0 into 0 3.836 * [backup-simplify]: Simplify 1 into 1 3.836 * [backup-simplify]: Simplify (* 1 1) into 1 3.836 * [backup-simplify]: Simplify (/ 1 1) into 1 3.837 * [backup-simplify]: Simplify (+ 0 1) into 1 3.837 * [backup-simplify]: Simplify (sqrt 1) into 1 3.837 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.838 * [backup-simplify]: Simplify (+ 0 0) into 0 3.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.838 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.838 * [taylor]: Taking taylor expansion of re in re 3.838 * [backup-simplify]: Simplify 0 into 0 3.838 * [backup-simplify]: Simplify 1 into 1 3.839 * [backup-simplify]: Simplify (/ 1 1) into 1 3.839 * [backup-simplify]: Simplify (- 1) into -1 3.839 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.840 * [backup-simplify]: Simplify (- 0) into 0 3.840 * [backup-simplify]: Simplify (+ 0 0) into 0 3.840 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.841 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.842 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.842 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.842 * [backup-simplify]: Simplify (- 0) into 0 3.842 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.842 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 3.843 * [backup-simplify]: Simplify (sqrt 0) into 0 3.843 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 3.843 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 3.843 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.843 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.843 * [taylor]: Taking taylor expansion of 2.0 in im 3.843 * [backup-simplify]: Simplify 2.0 into 2.0 3.843 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.844 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.844 * [taylor]: Taking taylor expansion of im in im 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.844 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.844 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 3.844 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 3.844 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.844 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.844 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.844 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.844 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.844 * [taylor]: Taking taylor expansion of im in im 3.844 * [backup-simplify]: Simplify 0 into 0 3.844 * [backup-simplify]: Simplify 1 into 1 3.845 * [backup-simplify]: Simplify (* 1 1) into 1 3.845 * [backup-simplify]: Simplify (/ 1 1) into 1 3.845 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.845 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.845 * [taylor]: Taking taylor expansion of re in im 3.845 * [backup-simplify]: Simplify re into re 3.845 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.845 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.845 * [backup-simplify]: Simplify (+ 1 0) into 1 3.846 * [backup-simplify]: Simplify (sqrt 1) into 1 3.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.846 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.847 * [backup-simplify]: Simplify (+ 0 0) into 0 3.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.847 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.847 * [taylor]: Taking taylor expansion of re in im 3.847 * [backup-simplify]: Simplify re into re 3.847 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.847 * [backup-simplify]: Simplify (+ 1 0) into 1 3.847 * [backup-simplify]: Simplify (/ 1 1) into 1 3.848 * [backup-simplify]: Simplify (sqrt 0) into 0 3.848 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.848 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 3.849 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.849 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.849 * [taylor]: Taking taylor expansion of 2.0 in im 3.849 * [backup-simplify]: Simplify 2.0 into 2.0 3.849 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.849 * [taylor]: Taking taylor expansion of im in im 3.849 * [backup-simplify]: Simplify 0 into 0 3.849 * [backup-simplify]: Simplify 1 into 1 3.850 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.850 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 3.850 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 3.850 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.850 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.850 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.850 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.850 * [taylor]: Taking taylor expansion of im in im 3.850 * [backup-simplify]: Simplify 0 into 0 3.850 * [backup-simplify]: Simplify 1 into 1 3.850 * [backup-simplify]: Simplify (* 1 1) into 1 3.850 * [backup-simplify]: Simplify (/ 1 1) into 1 3.850 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.850 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.850 * [taylor]: Taking taylor expansion of re in im 3.850 * [backup-simplify]: Simplify re into re 3.850 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.851 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.851 * [backup-simplify]: Simplify (+ 1 0) into 1 3.851 * [backup-simplify]: Simplify (sqrt 1) into 1 3.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.852 * [backup-simplify]: Simplify (+ 0 0) into 0 3.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.852 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.852 * [taylor]: Taking taylor expansion of re in im 3.852 * [backup-simplify]: Simplify re into re 3.853 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.853 * [backup-simplify]: Simplify (+ 1 0) into 1 3.853 * [backup-simplify]: Simplify (/ 1 1) into 1 3.853 * [backup-simplify]: Simplify (sqrt 0) into 0 3.854 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.854 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.854 * [taylor]: Taking taylor expansion of 0 in re 3.854 * [backup-simplify]: Simplify 0 into 0 3.855 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.856 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.856 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 3.856 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.856 * [taylor]: Taking taylor expansion of +nan.0 in re 3.856 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.856 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.856 * [taylor]: Taking taylor expansion of 2.0 in re 3.856 * [backup-simplify]: Simplify 2.0 into 2.0 3.856 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.857 * [backup-simplify]: Simplify 0 into 0 3.857 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 3.857 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 3.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 3.858 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 3.858 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.859 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.860 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 3.860 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.860 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.860 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.860 * [taylor]: Taking taylor expansion of +nan.0 in re 3.860 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.860 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.860 * [taylor]: Taking taylor expansion of 2.0 in re 3.860 * [backup-simplify]: Simplify 2.0 into 2.0 3.860 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.860 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.860 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.860 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.860 * [taylor]: Taking taylor expansion of +nan.0 in re 3.860 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.860 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.861 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.861 * [taylor]: Taking taylor expansion of 2.0 in re 3.861 * [backup-simplify]: Simplify 2.0 into 2.0 3.861 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.861 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.861 * [taylor]: Taking taylor expansion of re in re 3.861 * [backup-simplify]: Simplify 0 into 0 3.861 * [backup-simplify]: Simplify 1 into 1 3.862 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.862 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.863 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.864 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.866 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.866 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.867 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.868 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.869 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.869 * [backup-simplify]: Simplify 0 into 0 3.869 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.870 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.870 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 3.870 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.871 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.871 * [backup-simplify]: Simplify (- 0) into 0 3.871 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 3.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 3.872 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 3.872 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.874 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 3.874 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 3.874 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 3.874 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.874 * [taylor]: Taking taylor expansion of +nan.0 in re 3.874 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.874 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.874 * [taylor]: Taking taylor expansion of 2.0 in re 3.874 * [backup-simplify]: Simplify 2.0 into 2.0 3.874 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.878 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.878 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.878 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.878 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 3.878 * [taylor]: Taking taylor expansion of +nan.0 in re 3.878 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.878 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 3.878 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.878 * [taylor]: Taking taylor expansion of 2.0 in re 3.878 * [backup-simplify]: Simplify 2.0 into 2.0 3.878 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.879 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.879 * [taylor]: Taking taylor expansion of re in re 3.879 * [backup-simplify]: Simplify 0 into 0 3.879 * [backup-simplify]: Simplify 1 into 1 3.879 * [backup-simplify]: Simplify (* 1 1) into 1 3.879 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.879 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.879 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.879 * [taylor]: Taking taylor expansion of +nan.0 in re 3.879 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.879 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.879 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.879 * [taylor]: Taking taylor expansion of 2.0 in re 3.879 * [backup-simplify]: Simplify 2.0 into 2.0 3.880 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.880 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.880 * [taylor]: Taking taylor expansion of re in re 3.880 * [backup-simplify]: Simplify 0 into 0 3.880 * [backup-simplify]: Simplify 1 into 1 3.881 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.882 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.882 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.882 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.883 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.885 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.886 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.887 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.888 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.889 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.892 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 3.892 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 3.892 * [backup-simplify]: Simplify (+ re (sqrt (+ (* re re) (* im im)))) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 3.892 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 3.892 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 3.892 * [taylor]: Taking taylor expansion of re in im 3.892 * [backup-simplify]: Simplify re into re 3.892 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.892 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.892 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.892 * [taylor]: Taking taylor expansion of re in im 3.892 * [backup-simplify]: Simplify re into re 3.892 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.892 * [taylor]: Taking taylor expansion of im in im 3.892 * [backup-simplify]: Simplify 0 into 0 3.892 * [backup-simplify]: Simplify 1 into 1 3.892 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.892 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.893 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.893 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.893 * [backup-simplify]: Simplify (+ 0 0) into 0 3.893 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.893 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 3.893 * [taylor]: Taking taylor expansion of re in re 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.893 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.893 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.893 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.893 * [taylor]: Taking taylor expansion of re in re 3.893 * [backup-simplify]: Simplify 0 into 0 3.893 * [backup-simplify]: Simplify 1 into 1 3.893 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.893 * [taylor]: Taking taylor expansion of im in re 3.893 * [backup-simplify]: Simplify im into im 3.893 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.893 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.893 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.893 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.894 * [backup-simplify]: Simplify (+ 0 0) into 0 3.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.894 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 3.894 * [taylor]: Taking taylor expansion of re in re 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 1 into 1 3.894 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.894 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.894 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.894 * [taylor]: Taking taylor expansion of re in re 3.894 * [backup-simplify]: Simplify 0 into 0 3.894 * [backup-simplify]: Simplify 1 into 1 3.894 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.894 * [taylor]: Taking taylor expansion of im in re 3.894 * [backup-simplify]: Simplify im into im 3.894 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.894 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.894 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.894 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.894 * [backup-simplify]: Simplify (+ 0 0) into 0 3.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.894 * [backup-simplify]: Simplify (+ 0 im) into im 3.895 * [taylor]: Taking taylor expansion of im in im 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify 0 into 0 3.895 * [backup-simplify]: Simplify (+ 1 0) into 1 3.895 * [taylor]: Taking taylor expansion of 1 in im 3.895 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify 1 into 1 3.895 * [backup-simplify]: Simplify (* 1 1) into 1 3.895 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.896 * [backup-simplify]: Simplify (+ 1 0) into 1 3.896 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.896 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 3.896 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.896 * [taylor]: Taking taylor expansion of 1/2 in im 3.896 * [backup-simplify]: Simplify 1/2 into 1/2 3.896 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.896 * [taylor]: Taking taylor expansion of im in im 3.896 * [backup-simplify]: Simplify 0 into 0 3.896 * [backup-simplify]: Simplify 1 into 1 3.896 * [backup-simplify]: Simplify (/ 1 1) into 1 3.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.897 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 0 into 0 3.897 * [backup-simplify]: Simplify 0 into 0 3.898 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.898 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.898 * [backup-simplify]: Simplify (+ 0 0) into 0 3.898 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.899 * [backup-simplify]: Simplify (+ 0 0) into 0 3.899 * [taylor]: Taking taylor expansion of 0 in im 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify 0 into 0 3.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.900 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 3.900 * [backup-simplify]: Simplify (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 3.900 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 3.900 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.900 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.900 * [taylor]: Taking taylor expansion of re in im 3.900 * [backup-simplify]: Simplify re into re 3.900 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.900 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.900 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.900 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.900 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.900 * [taylor]: Taking taylor expansion of im in im 3.900 * [backup-simplify]: Simplify 0 into 0 3.900 * [backup-simplify]: Simplify 1 into 1 3.900 * [backup-simplify]: Simplify (* 1 1) into 1 3.901 * [backup-simplify]: Simplify (/ 1 1) into 1 3.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.901 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.901 * [taylor]: Taking taylor expansion of re in im 3.901 * [backup-simplify]: Simplify re into re 3.901 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.901 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.901 * [backup-simplify]: Simplify (+ 1 0) into 1 3.901 * [backup-simplify]: Simplify (sqrt 1) into 1 3.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.902 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.902 * [backup-simplify]: Simplify (+ 0 0) into 0 3.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.903 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.903 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.903 * [taylor]: Taking taylor expansion of re in re 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [backup-simplify]: Simplify (/ 1 1) into 1 3.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.903 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.903 * [taylor]: Taking taylor expansion of im in re 3.903 * [backup-simplify]: Simplify im into im 3.903 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.903 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.903 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.903 * [taylor]: Taking taylor expansion of re in re 3.903 * [backup-simplify]: Simplify 0 into 0 3.903 * [backup-simplify]: Simplify 1 into 1 3.903 * [backup-simplify]: Simplify (* 1 1) into 1 3.904 * [backup-simplify]: Simplify (/ 1 1) into 1 3.904 * [backup-simplify]: Simplify (+ 0 1) into 1 3.904 * [backup-simplify]: Simplify (sqrt 1) into 1 3.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.905 * [backup-simplify]: Simplify (+ 0 0) into 0 3.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.905 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.905 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.905 * [taylor]: Taking taylor expansion of re in re 3.905 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (/ 1 1) into 1 3.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.906 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.906 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.906 * [taylor]: Taking taylor expansion of im in re 3.906 * [backup-simplify]: Simplify im into im 3.906 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.906 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.906 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.906 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.906 * [taylor]: Taking taylor expansion of re in re 3.906 * [backup-simplify]: Simplify 0 into 0 3.906 * [backup-simplify]: Simplify 1 into 1 3.906 * [backup-simplify]: Simplify (* 1 1) into 1 3.907 * [backup-simplify]: Simplify (/ 1 1) into 1 3.907 * [backup-simplify]: Simplify (+ 0 1) into 1 3.907 * [backup-simplify]: Simplify (sqrt 1) into 1 3.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.908 * [backup-simplify]: Simplify (+ 0 0) into 0 3.908 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.909 * [backup-simplify]: Simplify (+ 1 1) into 2 3.909 * [taylor]: Taking taylor expansion of 2 in im 3.909 * [backup-simplify]: Simplify 2 into 2 3.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.909 * [backup-simplify]: Simplify (+ 0 0) into 0 3.909 * [taylor]: Taking taylor expansion of 0 in im 3.909 * [backup-simplify]: Simplify 0 into 0 3.909 * [backup-simplify]: Simplify 2 into 2 3.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.910 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.911 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.911 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.912 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.912 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.912 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.912 * [taylor]: Taking taylor expansion of 1/2 in im 3.912 * [backup-simplify]: Simplify 1/2 into 1/2 3.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.912 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.912 * [taylor]: Taking taylor expansion of im in im 3.912 * [backup-simplify]: Simplify 0 into 0 3.912 * [backup-simplify]: Simplify 1 into 1 3.912 * [backup-simplify]: Simplify (* 1 1) into 1 3.912 * [backup-simplify]: Simplify (/ 1 1) into 1 3.913 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify 0 into 0 3.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.914 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.916 * [backup-simplify]: Simplify (+ 0 0) into 0 3.916 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.916 * [backup-simplify]: Simplify (+ 0 0) into 0 3.916 * [taylor]: Taking taylor expansion of 0 in im 3.916 * [backup-simplify]: Simplify 0 into 0 3.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.918 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 3.918 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 3.918 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 3.918 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.918 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.918 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.918 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.918 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.918 * [taylor]: Taking taylor expansion of im in im 3.918 * [backup-simplify]: Simplify 0 into 0 3.918 * [backup-simplify]: Simplify 1 into 1 3.918 * [backup-simplify]: Simplify (* 1 1) into 1 3.919 * [backup-simplify]: Simplify (/ 1 1) into 1 3.919 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.919 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.919 * [taylor]: Taking taylor expansion of re in im 3.919 * [backup-simplify]: Simplify re into re 3.919 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.919 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.919 * [backup-simplify]: Simplify (+ 1 0) into 1 3.919 * [backup-simplify]: Simplify (sqrt 1) into 1 3.920 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.920 * [backup-simplify]: Simplify (+ 0 0) into 0 3.921 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.921 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.921 * [taylor]: Taking taylor expansion of re in im 3.921 * [backup-simplify]: Simplify re into re 3.921 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.921 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.921 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.921 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.921 * [taylor]: Taking taylor expansion of im in re 3.921 * [backup-simplify]: Simplify im into im 3.921 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.921 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.921 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.921 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.921 * [taylor]: Taking taylor expansion of re in re 3.921 * [backup-simplify]: Simplify 0 into 0 3.921 * [backup-simplify]: Simplify 1 into 1 3.921 * [backup-simplify]: Simplify (* 1 1) into 1 3.921 * [backup-simplify]: Simplify (/ 1 1) into 1 3.922 * [backup-simplify]: Simplify (+ 0 1) into 1 3.922 * [backup-simplify]: Simplify (sqrt 1) into 1 3.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.923 * [backup-simplify]: Simplify (+ 0 0) into 0 3.923 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.923 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.923 * [taylor]: Taking taylor expansion of re in re 3.923 * [backup-simplify]: Simplify 0 into 0 3.923 * [backup-simplify]: Simplify 1 into 1 3.923 * [backup-simplify]: Simplify (/ 1 1) into 1 3.923 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.923 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.924 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.924 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.924 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.924 * [taylor]: Taking taylor expansion of im in re 3.924 * [backup-simplify]: Simplify im into im 3.924 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.924 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.924 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.924 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.924 * [taylor]: Taking taylor expansion of re in re 3.924 * [backup-simplify]: Simplify 0 into 0 3.924 * [backup-simplify]: Simplify 1 into 1 3.924 * [backup-simplify]: Simplify (* 1 1) into 1 3.924 * [backup-simplify]: Simplify (/ 1 1) into 1 3.924 * [backup-simplify]: Simplify (+ 0 1) into 1 3.925 * [backup-simplify]: Simplify (sqrt 1) into 1 3.925 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.926 * [backup-simplify]: Simplify (+ 0 0) into 0 3.926 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.926 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.926 * [taylor]: Taking taylor expansion of re in re 3.926 * [backup-simplify]: Simplify 0 into 0 3.926 * [backup-simplify]: Simplify 1 into 1 3.926 * [backup-simplify]: Simplify (/ 1 1) into 1 3.927 * [backup-simplify]: Simplify (- 1) into -1 3.927 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.927 * [taylor]: Taking taylor expansion of 0 in im 3.927 * [backup-simplify]: Simplify 0 into 0 3.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.927 * [backup-simplify]: Simplify (- 0) into 0 3.928 * [backup-simplify]: Simplify (+ 0 0) into 0 3.928 * [taylor]: Taking taylor expansion of 0 in im 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify 0 into 0 3.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.929 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.929 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.930 * [backup-simplify]: Simplify (- 0) into 0 3.930 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.930 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.930 * [taylor]: Taking taylor expansion of 1/2 in im 3.930 * [backup-simplify]: Simplify 1/2 into 1/2 3.930 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.930 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.930 * [taylor]: Taking taylor expansion of im in im 3.930 * [backup-simplify]: Simplify 0 into 0 3.930 * [backup-simplify]: Simplify 1 into 1 3.931 * [backup-simplify]: Simplify (* 1 1) into 1 3.931 * [backup-simplify]: Simplify (/ 1 1) into 1 3.931 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.932 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.932 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify 0 into 0 3.932 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.932 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.933 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.934 * [backup-simplify]: Simplify (+ 0 0) into 0 3.934 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.934 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.935 * [backup-simplify]: Simplify (- 0) into 0 3.935 * [backup-simplify]: Simplify (+ 0 0) into 0 3.935 * [taylor]: Taking taylor expansion of 0 in im 3.935 * [backup-simplify]: Simplify 0 into 0 3.935 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.936 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.936 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.936 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify 0 into 0 3.936 * [backup-simplify]: Simplify 0 into 0 3.937 * * * [progress]: simplifying candidates 3.938 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (+ (log im) (log im)) (log (+ re (sqrt (+ (* re re) (* im im)))))) (- (log (* im im)) (log (+ re (sqrt (+ (* re re) (* im im)))))) (log (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (exp (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (* (* im im) im) (* (* im im) im)) (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* (* (* im im) (* im im)) (* im im)) (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im)))))) (* (cbrt (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (/ (* im im) (+ re (sqrt (+ (* re re) (* im im))))))) (cbrt (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (* (* (/ (* im im) (+ re (sqrt (+ (* re re) (* im im))))) (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (- (* im im)) (- (+ re (sqrt (+ (* re re) (* im im))))) (/ im (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im 1) (/ im (+ re (sqrt (+ (* re re) (* im im))))) (/ im 1) (/ im (+ re (sqrt (+ (* re re) (* im im))))) (/ 1 (+ re (sqrt (+ (* re re) (* im im))))) (/ (+ re (sqrt (+ (* re re) (* im im)))) (* im im)) (/ (* im im) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (* im im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ (* im im) 1) (/ (* im im) 1) (/ (+ re (sqrt (+ (* re re) (* im im)))) im) (/ (* im im) (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3))) (/ (* im im) (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))))) (log (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))) (exp (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))) (* (cbrt (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))) (* (* (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im))))))) (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))) (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))) (sqrt 2.0) (sqrt (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (* 2.0 (* im im))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))) (* (exp re) (exp (sqrt (+ (* re re) (* im im))))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3)) (+ (* re re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))) (- re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im)))) im re (* -1 re) 0 0 (- (+ re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (+ re im) (* 2 re) 0 3.940 * * [simplify]: Extracting # 0 : cost 0 3.940 * * [simplify]: Extracting # 1 : cost 0 3.940 * * [simplify]: Extracting # 2 : cost 0 3.940 * * [simplify]: Extracting # 3 : cost 0 3.940 * * [simplify]: Extracting # 4 : cost 0 3.940 * * [simplify]: Extracting # 5 : cost 0 3.940 * * [simplify]: Extracting # 6 : cost 0 3.941 * * [simplify]: Extracting # 7 : cost 0 3.941 * * [simplify]: Extracting # 8 : cost 0 3.941 * * [simplify]: Extracting # 9 : cost 0 3.941 * * [simplify]: Extracting # 10 : cost 0 3.941 * * [simplify]: Extracting # 11 : cost 0 3.941 * * [simplify]: Extracting # 12 : cost 0 3.942 * * [simplify]: Extracting # 13 : cost 0 3.942 * * [simplify]: Extracting # 14 : cost 0 3.942 * * [simplify]: Extracting # 15 : cost 0 3.942 * * [simplify]: Extracting # 16 : cost 0 3.942 * * [simplify]: Extracting # 17 : cost 0 3.942 * * [simplify]: iteration 0 : 146 enodes (cost 1254 ) 3.977 * * [simplify]: Extracting # 0 : cost 0 3.977 * * [simplify]: Extracting # 1 : cost 0 3.977 * * [simplify]: Extracting # 2 : cost 0 3.978 * * [simplify]: Extracting # 3 : cost 0 3.978 * * [simplify]: Extracting # 4 : cost 0 3.978 * * [simplify]: iteration 1 : 357 enodes (cost 1132 ) 4.095 * * [simplify]: Extracting # 0 : cost 0 4.096 * * [simplify]: Extracting # 1 : cost 0 4.098 * * [simplify]: Extracting # 2 : cost 0 4.099 * * [simplify]: Extracting # 3 : cost 0 4.100 * * [simplify]: Extracting # 4 : cost 0 4.101 * * [simplify]: iteration 2 : 1084 enodes (cost 1009 ) 4.696 * * [simplify]: Extracting # 0 : cost 0 4.700 * * [simplify]: Extracting # 1 : cost 0 4.704 * * [simplify]: Extracting # 2 : cost 0 4.708 * * [simplify]: Extracting # 3 : cost 0 4.712 * * [simplify]: Extracting # 4 : cost 0 4.715 * * [simplify]: iteration 3 : 3719 enodes (cost 979 ) 5.725 * * [simplify]: Extracting # 0 : cost 0 5.731 * * [simplify]: Extracting # 1 : cost 0 5.737 * * [simplify]: Extracting # 2 : cost 0 5.745 * * [simplify]: Extracting # 3 : cost 0 5.750 * * [simplify]: iteration done: 5000 enodes (cost 979 ) 5.751 * [simplify]: Simplified to: (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)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (log (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (log (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (exp (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (pow (/ (* im im) (+ re (sqrt (+ (* re re) (* im im))))) 3) (pow (/ (* im im) (+ re (sqrt (+ (* re re) (* im im))))) 3) (* (cbrt (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (/ (* im im) (+ re (sqrt (+ (* re re) (* im im))))))) (cbrt (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (pow (/ (* im im) (+ re (sqrt (+ (* re re) (* im im))))) 3) (sqrt (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (- (* im im)) (- (+ re (sqrt (+ (* re re) (* im im))))) (/ im (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) im (/ im (+ re (sqrt (+ (* re re) (* im im))))) im (/ im (+ re (sqrt (+ (* re re) (* im im))))) (/ 1 (+ re (sqrt (+ (* re re) (* im im))))) (/ (+ re (sqrt (+ (* re re) (* im im)))) (* im im)) (/ (* im im) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (* im im) (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* im im) (* im im) (/ (+ re (sqrt (+ (* re re) (* im im)))) im) (/ (* im im) (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3))) (/ im (/ (- 0 (* im im)) im)) (log (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))) (exp (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))) (* (cbrt (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im))))))))) (cbrt (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))) (pow (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im))))))) 3) (sqrt 2.0) (sqrt (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt (* 2.0 (* im im))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) 1/2 1/2 (sqrt (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))) (sqrt (sqrt (* 2.0 (/ (* im im) (+ re (sqrt (+ (* re re) (* im im)))))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (pow (+ re (sqrt (+ (* re re) (* im im)))) 3) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3)) (+ (+ (* re re) (* im im)) (* re (- re (sqrt (+ (* re re) (* im im)))))) (- 0 (* im im)) (- re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im)))) im re (- re) 0 0 (- (+ re im)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2))) (* (* (* +nan.0 (sqrt 2.0)) (sqrt 1/2)) (- (* im re) im)))) (- (+ (* +nan.0 (sqrt 2.0)) (* (/ (sqrt 2.0) im) (- (/ +nan.0 im) +nan.0)))) (* +nan.0 (+ (- (sqrt 2.0)) (* (/ (sqrt 2.0) im) (- re (/ re im))))) (+ re im) (* 2 re) 0 5.751 * * * [progress]: adding candidates to table 5.921 * * [progress]: iteration 4 / 4 5.921 * * * [progress]: picking best candidate 5.939 * * * * [pick]: Picked # 5.939 * * * [progress]: localizing error 5.951 * * * [progress]: generating rewritten candidates 5.951 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1 2) 5.961 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 5.982 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 1) 5.996 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 6.035 * * * [progress]: generating series expansions 6.035 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1 2) 6.035 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 6.035 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 6.035 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.035 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.035 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.036 * [taylor]: Taking taylor expansion of re in im 6.036 * [backup-simplify]: Simplify re into re 6.036 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.036 * [taylor]: Taking taylor expansion of im in im 6.036 * [backup-simplify]: Simplify 0 into 0 6.036 * [backup-simplify]: Simplify 1 into 1 6.036 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.036 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.036 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.036 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.036 * [backup-simplify]: Simplify (+ 0 0) into 0 6.036 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.036 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.036 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.036 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.036 * [taylor]: Taking taylor expansion of re in re 6.036 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.037 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.037 * [taylor]: Taking taylor expansion of im in re 6.037 * [backup-simplify]: Simplify im into im 6.037 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.037 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.037 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.037 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.037 * [backup-simplify]: Simplify (+ 0 0) into 0 6.037 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.037 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.037 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.037 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.037 * [taylor]: Taking taylor expansion of re in re 6.037 * [backup-simplify]: Simplify 0 into 0 6.037 * [backup-simplify]: Simplify 1 into 1 6.037 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.037 * [taylor]: Taking taylor expansion of im in re 6.037 * [backup-simplify]: Simplify im into im 6.037 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.037 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.037 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.037 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.038 * [backup-simplify]: Simplify (+ 0 0) into 0 6.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.038 * [taylor]: Taking taylor expansion of im in im 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 1 into 1 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [taylor]: Taking taylor expansion of 0 in im 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 0 into 0 6.038 * [backup-simplify]: Simplify 1 into 1 6.038 * [backup-simplify]: Simplify (* 1 1) into 1 6.038 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.039 * [backup-simplify]: Simplify (+ 1 0) into 1 6.039 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.039 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.039 * [taylor]: Taking taylor expansion of 1/2 in im 6.039 * [backup-simplify]: Simplify 1/2 into 1/2 6.039 * [taylor]: Taking taylor expansion of im in im 6.039 * [backup-simplify]: Simplify 0 into 0 6.039 * [backup-simplify]: Simplify 1 into 1 6.040 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.040 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.040 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify 0 into 0 6.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.041 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.041 * [backup-simplify]: Simplify (+ 0 0) into 0 6.041 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.041 * [taylor]: Taking taylor expansion of 0 in im 6.041 * [backup-simplify]: Simplify 0 into 0 6.041 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.042 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.042 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.042 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.042 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.042 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.042 * [taylor]: Taking taylor expansion of im in im 6.042 * [backup-simplify]: Simplify 0 into 0 6.042 * [backup-simplify]: Simplify 1 into 1 6.042 * [backup-simplify]: Simplify (* 1 1) into 1 6.042 * [backup-simplify]: Simplify (/ 1 1) into 1 6.043 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.043 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.043 * [taylor]: Taking taylor expansion of re in im 6.043 * [backup-simplify]: Simplify re into re 6.043 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.043 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.043 * [backup-simplify]: Simplify (+ 1 0) into 1 6.043 * [backup-simplify]: Simplify (sqrt 1) into 1 6.044 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.044 * [backup-simplify]: Simplify (+ 0 0) into 0 6.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.044 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.045 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.045 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.045 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.045 * [taylor]: Taking taylor expansion of im in re 6.045 * [backup-simplify]: Simplify im into im 6.045 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.045 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.045 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.045 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.045 * [taylor]: Taking taylor expansion of re in re 6.045 * [backup-simplify]: Simplify 0 into 0 6.045 * [backup-simplify]: Simplify 1 into 1 6.045 * [backup-simplify]: Simplify (* 1 1) into 1 6.045 * [backup-simplify]: Simplify (/ 1 1) into 1 6.045 * [backup-simplify]: Simplify (+ 0 1) into 1 6.046 * [backup-simplify]: Simplify (sqrt 1) into 1 6.046 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.046 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.047 * [backup-simplify]: Simplify (+ 0 0) into 0 6.047 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.047 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.047 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.047 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.047 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.047 * [taylor]: Taking taylor expansion of im in re 6.047 * [backup-simplify]: Simplify im into im 6.047 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.047 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.047 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.047 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.047 * [taylor]: Taking taylor expansion of re in re 6.047 * [backup-simplify]: Simplify 0 into 0 6.047 * [backup-simplify]: Simplify 1 into 1 6.047 * [backup-simplify]: Simplify (* 1 1) into 1 6.048 * [backup-simplify]: Simplify (/ 1 1) into 1 6.048 * [backup-simplify]: Simplify (+ 0 1) into 1 6.048 * [backup-simplify]: Simplify (sqrt 1) into 1 6.048 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.049 * [backup-simplify]: Simplify (+ 0 0) into 0 6.049 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.049 * [taylor]: Taking taylor expansion of 1 in im 6.049 * [backup-simplify]: Simplify 1 into 1 6.049 * [taylor]: Taking taylor expansion of 0 in im 6.049 * [backup-simplify]: Simplify 0 into 0 6.050 * [backup-simplify]: Simplify 1 into 1 6.050 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.051 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.051 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.051 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.051 * [taylor]: Taking taylor expansion of 1/2 in im 6.051 * [backup-simplify]: Simplify 1/2 into 1/2 6.051 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.051 * [taylor]: Taking taylor expansion of im in im 6.051 * [backup-simplify]: Simplify 0 into 0 6.051 * [backup-simplify]: Simplify 1 into 1 6.052 * [backup-simplify]: Simplify (* 1 1) into 1 6.052 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.053 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.053 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify 0 into 0 6.053 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.053 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.053 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.054 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.054 * [backup-simplify]: Simplify (+ 0 0) into 0 6.054 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.054 * [taylor]: Taking taylor expansion of 0 in im 6.054 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.055 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.055 * [backup-simplify]: Simplify 0 into 0 6.055 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.056 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.056 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.056 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.056 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.056 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.056 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.056 * [taylor]: Taking taylor expansion of im in im 6.056 * [backup-simplify]: Simplify 0 into 0 6.056 * [backup-simplify]: Simplify 1 into 1 6.056 * [backup-simplify]: Simplify (* 1 1) into 1 6.056 * [backup-simplify]: Simplify (/ 1 1) into 1 6.056 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.056 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.056 * [taylor]: Taking taylor expansion of re in im 6.056 * [backup-simplify]: Simplify re into re 6.056 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.057 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.057 * [backup-simplify]: Simplify (+ 1 0) into 1 6.057 * [backup-simplify]: Simplify (sqrt 1) into 1 6.057 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.058 * [backup-simplify]: Simplify (+ 0 0) into 0 6.058 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.058 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.058 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.058 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.058 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.058 * [taylor]: Taking taylor expansion of im in re 6.058 * [backup-simplify]: Simplify im into im 6.058 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.058 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.059 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.059 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.059 * [taylor]: Taking taylor expansion of re in re 6.059 * [backup-simplify]: Simplify 0 into 0 6.059 * [backup-simplify]: Simplify 1 into 1 6.059 * [backup-simplify]: Simplify (* 1 1) into 1 6.059 * [backup-simplify]: Simplify (/ 1 1) into 1 6.059 * [backup-simplify]: Simplify (+ 0 1) into 1 6.059 * [backup-simplify]: Simplify (sqrt 1) into 1 6.060 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.060 * [backup-simplify]: Simplify (+ 0 0) into 0 6.061 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.061 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.061 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.061 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.061 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.061 * [taylor]: Taking taylor expansion of im in re 6.061 * [backup-simplify]: Simplify im into im 6.061 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.061 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.061 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.061 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.061 * [taylor]: Taking taylor expansion of re in re 6.061 * [backup-simplify]: Simplify 0 into 0 6.061 * [backup-simplify]: Simplify 1 into 1 6.061 * [backup-simplify]: Simplify (* 1 1) into 1 6.061 * [backup-simplify]: Simplify (/ 1 1) into 1 6.062 * [backup-simplify]: Simplify (+ 0 1) into 1 6.062 * [backup-simplify]: Simplify (sqrt 1) into 1 6.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.063 * [backup-simplify]: Simplify (+ 0 0) into 0 6.063 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.063 * [taylor]: Taking taylor expansion of 1 in im 6.063 * [backup-simplify]: Simplify 1 into 1 6.063 * [taylor]: Taking taylor expansion of 0 in im 6.063 * [backup-simplify]: Simplify 0 into 0 6.063 * [backup-simplify]: Simplify 1 into 1 6.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.064 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.065 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.065 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.065 * [taylor]: Taking taylor expansion of 1/2 in im 6.065 * [backup-simplify]: Simplify 1/2 into 1/2 6.065 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.065 * [taylor]: Taking taylor expansion of im in im 6.065 * [backup-simplify]: Simplify 0 into 0 6.065 * [backup-simplify]: Simplify 1 into 1 6.065 * [backup-simplify]: Simplify (* 1 1) into 1 6.066 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.066 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.066 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.066 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify 0 into 0 6.067 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.067 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.068 * [backup-simplify]: Simplify (+ 0 0) into 0 6.068 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.068 * [taylor]: Taking taylor expansion of 0 in im 6.068 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.069 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 0 into 0 6.069 * [backup-simplify]: Simplify 0 into 0 6.070 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.070 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 6.070 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ im (/ (+ re (sqrt (+ (* re re) (* im im)))) im)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 6.070 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 6.070 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 6.070 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 6.070 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.070 * [taylor]: Taking taylor expansion of 2.0 in re 6.070 * [backup-simplify]: Simplify 2.0 into 2.0 6.070 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.071 * [taylor]: Taking taylor expansion of im in re 6.071 * [backup-simplify]: Simplify im into im 6.071 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 6.071 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 6.071 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 6.071 * [taylor]: Taking taylor expansion of re in re 6.071 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify 1 into 1 6.071 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.071 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.071 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.071 * [taylor]: Taking taylor expansion of re in re 6.071 * [backup-simplify]: Simplify 0 into 0 6.071 * [backup-simplify]: Simplify 1 into 1 6.071 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.071 * [taylor]: Taking taylor expansion of im in re 6.071 * [backup-simplify]: Simplify im into im 6.071 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.071 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.071 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.071 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.071 * [backup-simplify]: Simplify (+ 0 0) into 0 6.071 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.071 * [backup-simplify]: Simplify (+ 0 im) into im 6.071 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.071 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 6.072 * [backup-simplify]: Simplify (+ 1 0) into 1 6.072 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 6.072 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 6.072 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 6.072 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 6.072 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.072 * [taylor]: Taking taylor expansion of 2.0 in im 6.072 * [backup-simplify]: Simplify 2.0 into 2.0 6.072 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.073 * [taylor]: Taking taylor expansion of im in im 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 1 into 1 6.073 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 6.073 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 6.073 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 6.073 * [taylor]: Taking taylor expansion of re in im 6.073 * [backup-simplify]: Simplify re into re 6.073 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.073 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.073 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.073 * [taylor]: Taking taylor expansion of re in im 6.073 * [backup-simplify]: Simplify re into re 6.073 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.073 * [taylor]: Taking taylor expansion of im in im 6.073 * [backup-simplify]: Simplify 0 into 0 6.073 * [backup-simplify]: Simplify 1 into 1 6.073 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.073 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.073 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.073 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.073 * [backup-simplify]: Simplify (+ 0 0) into 0 6.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.074 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 6.074 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 6.074 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 6.074 * [backup-simplify]: Simplify (+ 0 0) into 0 6.074 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 6.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 6.074 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 6.074 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 6.074 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.074 * [taylor]: Taking taylor expansion of 2.0 in im 6.074 * [backup-simplify]: Simplify 2.0 into 2.0 6.074 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.075 * [taylor]: Taking taylor expansion of im in im 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.075 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 6.075 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 6.075 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 6.075 * [taylor]: Taking taylor expansion of re in im 6.075 * [backup-simplify]: Simplify re into re 6.075 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.075 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.075 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.075 * [taylor]: Taking taylor expansion of re in im 6.075 * [backup-simplify]: Simplify re into re 6.075 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.075 * [taylor]: Taking taylor expansion of im in im 6.075 * [backup-simplify]: Simplify 0 into 0 6.075 * [backup-simplify]: Simplify 1 into 1 6.075 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.075 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.075 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.075 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.076 * [backup-simplify]: Simplify (+ 0 0) into 0 6.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.076 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 6.076 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 6.076 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 6.076 * [backup-simplify]: Simplify (+ 0 0) into 0 6.077 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 6.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 6.077 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 6.078 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 6.078 * [taylor]: Taking taylor expansion of 0 in re 6.078 * [backup-simplify]: Simplify 0 into 0 6.078 * [backup-simplify]: Simplify 0 into 0 6.080 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 6.081 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 6.081 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 6.081 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 6.081 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.081 * [taylor]: Taking taylor expansion of 2.0 in re 6.081 * [backup-simplify]: Simplify 2.0 into 2.0 6.081 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.082 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.082 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 6.082 * [taylor]: Taking taylor expansion of 1/2 in re 6.082 * [backup-simplify]: Simplify 1/2 into 1/2 6.082 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.083 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 6.083 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 6.083 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.083 * [taylor]: Taking taylor expansion of re in re 6.083 * [backup-simplify]: Simplify 0 into 0 6.083 * [backup-simplify]: Simplify 1 into 1 6.083 * [backup-simplify]: Simplify (/ 1 1) into 1 6.084 * [backup-simplify]: Simplify (sqrt 0) into 0 6.085 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.086 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 6.087 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 6.090 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 6.093 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 6.093 * [backup-simplify]: Simplify 0 into 0 6.093 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.094 * [backup-simplify]: Simplify (* 1 1) into 1 6.094 * [backup-simplify]: Simplify (+ 0 1) into 1 6.095 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 6.095 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 6.095 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 6.096 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 6.097 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.098 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 6.100 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 6.100 * [taylor]: Taking taylor expansion of 0 in re 6.100 * [backup-simplify]: Simplify 0 into 0 6.100 * [backup-simplify]: Simplify 0 into 0 6.101 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.104 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.105 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 6.106 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.111 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 6.115 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 6.118 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 6.118 * [backup-simplify]: Simplify 0 into 0 6.119 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 6.119 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.119 * [backup-simplify]: Simplify (+ 0 0) into 0 6.119 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 6.119 * [backup-simplify]: Simplify (+ 0 0) into 0 6.120 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 6.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 6.121 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.122 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 6.124 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 6.124 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 6.124 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 6.124 * [taylor]: Taking taylor expansion of 1/16 in re 6.124 * [backup-simplify]: Simplify 1/16 into 1/16 6.124 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 6.124 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 6.124 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.124 * [taylor]: Taking taylor expansion of 2.0 in re 6.124 * [backup-simplify]: Simplify 2.0 into 2.0 6.124 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.124 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 6.124 * [taylor]: Taking taylor expansion of 1/2 in re 6.124 * [backup-simplify]: Simplify 1/2 into 1/2 6.125 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 6.125 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 6.126 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 6.126 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 6.126 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 6.126 * [taylor]: Taking taylor expansion of (pow re 5) in re 6.126 * [taylor]: Taking taylor expansion of re in re 6.126 * [backup-simplify]: Simplify 0 into 0 6.126 * [backup-simplify]: Simplify 1 into 1 6.126 * [backup-simplify]: Simplify (* 1 1) into 1 6.126 * [backup-simplify]: Simplify (* 1 1) into 1 6.127 * [backup-simplify]: Simplify (* 1 1) into 1 6.127 * [backup-simplify]: Simplify (/ 1 1) into 1 6.127 * [backup-simplify]: Simplify (sqrt 0) into 0 6.128 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.128 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.129 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.129 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.130 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.130 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.131 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.133 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.135 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 6.135 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 6.136 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.137 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 6.137 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 6.138 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 6.139 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 6.142 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 6.144 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 6.146 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 6.147 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 6.151 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 6.153 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 6.155 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 6.160 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 6.161 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (/ 1 im) (/ (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (/ 1 im))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 6.161 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 6.161 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 6.161 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 6.161 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.161 * [taylor]: Taking taylor expansion of 2.0 in re 6.161 * [backup-simplify]: Simplify 2.0 into 2.0 6.161 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.161 * [taylor]: Taking taylor expansion of im in re 6.161 * [backup-simplify]: Simplify im into im 6.162 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 6.162 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 6.162 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.162 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.162 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.162 * [taylor]: Taking taylor expansion of re in re 6.162 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify 1 into 1 6.162 * [backup-simplify]: Simplify (/ 1 1) into 1 6.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.162 * [taylor]: Taking taylor expansion of im in re 6.162 * [backup-simplify]: Simplify im into im 6.162 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.162 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.162 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.162 * [taylor]: Taking taylor expansion of re in re 6.162 * [backup-simplify]: Simplify 0 into 0 6.162 * [backup-simplify]: Simplify 1 into 1 6.162 * [backup-simplify]: Simplify (* 1 1) into 1 6.163 * [backup-simplify]: Simplify (/ 1 1) into 1 6.163 * [backup-simplify]: Simplify (+ 0 1) into 1 6.163 * [backup-simplify]: Simplify (sqrt 1) into 1 6.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.164 * [backup-simplify]: Simplify (+ 0 0) into 0 6.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.165 * [backup-simplify]: Simplify (+ 1 1) into 2 6.165 * [backup-simplify]: Simplify (/ 1 2) into 1/2 6.165 * [backup-simplify]: Simplify (sqrt 0) into 0 6.166 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 6.166 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 6.166 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 6.166 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.166 * [taylor]: Taking taylor expansion of 2.0 in im 6.166 * [backup-simplify]: Simplify 2.0 into 2.0 6.166 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.167 * [taylor]: Taking taylor expansion of im in im 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 1 into 1 6.167 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.167 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 6.167 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 6.167 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.167 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.167 * [taylor]: Taking taylor expansion of re in im 6.167 * [backup-simplify]: Simplify re into re 6.167 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.167 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.167 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.167 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.167 * [taylor]: Taking taylor expansion of im in im 6.167 * [backup-simplify]: Simplify 0 into 0 6.167 * [backup-simplify]: Simplify 1 into 1 6.168 * [backup-simplify]: Simplify (* 1 1) into 1 6.168 * [backup-simplify]: Simplify (/ 1 1) into 1 6.168 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.168 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.168 * [taylor]: Taking taylor expansion of re in im 6.168 * [backup-simplify]: Simplify re into re 6.168 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.168 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.168 * [backup-simplify]: Simplify (+ 1 0) into 1 6.168 * [backup-simplify]: Simplify (sqrt 1) into 1 6.169 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.169 * [backup-simplify]: Simplify (+ 0 0) into 0 6.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.170 * [backup-simplify]: Simplify (+ 0 1) into 1 6.170 * [backup-simplify]: Simplify (/ 1 1) into 1 6.170 * [backup-simplify]: Simplify (sqrt 0) into 0 6.171 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.171 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 6.171 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 6.171 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.171 * [taylor]: Taking taylor expansion of 2.0 in im 6.171 * [backup-simplify]: Simplify 2.0 into 2.0 6.171 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.172 * [taylor]: Taking taylor expansion of im in im 6.172 * [backup-simplify]: Simplify 0 into 0 6.172 * [backup-simplify]: Simplify 1 into 1 6.172 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.172 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 6.172 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 6.172 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.172 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.173 * [taylor]: Taking taylor expansion of re in im 6.173 * [backup-simplify]: Simplify re into re 6.173 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.173 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.173 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.173 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.173 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.173 * [taylor]: Taking taylor expansion of im in im 6.173 * [backup-simplify]: Simplify 0 into 0 6.173 * [backup-simplify]: Simplify 1 into 1 6.173 * [backup-simplify]: Simplify (* 1 1) into 1 6.173 * [backup-simplify]: Simplify (/ 1 1) into 1 6.173 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.173 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.173 * [taylor]: Taking taylor expansion of re in im 6.173 * [backup-simplify]: Simplify re into re 6.173 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.173 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.174 * [backup-simplify]: Simplify (+ 1 0) into 1 6.174 * [backup-simplify]: Simplify (sqrt 1) into 1 6.174 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.175 * [backup-simplify]: Simplify (+ 0 0) into 0 6.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.175 * [backup-simplify]: Simplify (+ 0 1) into 1 6.176 * [backup-simplify]: Simplify (/ 1 1) into 1 6.176 * [backup-simplify]: Simplify (sqrt 0) into 0 6.176 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.177 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 6.177 * [taylor]: Taking taylor expansion of 0 in re 6.177 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify 0 into 0 6.177 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.179 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 6.179 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 6.179 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 6.179 * [taylor]: Taking taylor expansion of +nan.0 in re 6.179 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.179 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.179 * [taylor]: Taking taylor expansion of 2.0 in re 6.179 * [backup-simplify]: Simplify 2.0 into 2.0 6.179 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.180 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 6.181 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.182 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.182 * [backup-simplify]: Simplify 0 into 0 6.182 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 6.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 6.183 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 6.183 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.185 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 6.185 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 6.185 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 6.185 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 6.185 * [taylor]: Taking taylor expansion of +nan.0 in re 6.185 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.185 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.185 * [taylor]: Taking taylor expansion of 2.0 in re 6.185 * [backup-simplify]: Simplify 2.0 into 2.0 6.185 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.186 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 6.186 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 6.186 * [taylor]: Taking taylor expansion of +nan.0 in re 6.186 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.186 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 6.186 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.186 * [taylor]: Taking taylor expansion of 2.0 in re 6.186 * [backup-simplify]: Simplify 2.0 into 2.0 6.186 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.186 * [taylor]: Taking taylor expansion of re in re 6.186 * [backup-simplify]: Simplify 0 into 0 6.186 * [backup-simplify]: Simplify 1 into 1 6.187 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.187 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 6.188 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.188 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 6.189 * [backup-simplify]: Simplify (- 0) into 0 6.190 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 6.191 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 6.192 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.192 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 6.192 * [backup-simplify]: Simplify (- 0) into 0 6.193 * [backup-simplify]: Simplify 0 into 0 6.193 * [backup-simplify]: Simplify 0 into 0 6.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.194 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 6.194 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 6.195 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 6.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 6.195 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 6.196 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.200 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.201 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 6.201 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 6.201 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 6.201 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 6.201 * [taylor]: Taking taylor expansion of +nan.0 in re 6.201 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.201 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.201 * [taylor]: Taking taylor expansion of 2.0 in re 6.202 * [backup-simplify]: Simplify 2.0 into 2.0 6.202 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.202 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.202 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 6.202 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 6.202 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 6.202 * [taylor]: Taking taylor expansion of +nan.0 in re 6.202 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.202 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 6.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.202 * [taylor]: Taking taylor expansion of 2.0 in re 6.202 * [backup-simplify]: Simplify 2.0 into 2.0 6.203 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.203 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.203 * [taylor]: Taking taylor expansion of re in re 6.203 * [backup-simplify]: Simplify 0 into 0 6.203 * [backup-simplify]: Simplify 1 into 1 6.203 * [backup-simplify]: Simplify (* 1 1) into 1 6.204 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.204 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 6.204 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 6.204 * [taylor]: Taking taylor expansion of +nan.0 in re 6.204 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.204 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 6.204 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.204 * [taylor]: Taking taylor expansion of 2.0 in re 6.204 * [backup-simplify]: Simplify 2.0 into 2.0 6.204 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.204 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.204 * [taylor]: Taking taylor expansion of re in re 6.204 * [backup-simplify]: Simplify 0 into 0 6.205 * [backup-simplify]: Simplify 1 into 1 6.205 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.206 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 6.206 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.207 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.207 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.208 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.209 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 6.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.210 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 6.210 * [backup-simplify]: Simplify (- 0) into 0 6.210 * [backup-simplify]: Simplify (+ 0 0) into 0 6.210 * [backup-simplify]: Simplify (- 0) into 0 6.211 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 6.212 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 6.213 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.216 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 6.216 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (/ 1 (- im)) (/ (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (/ 1 (- im)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 6.216 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 6.216 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 6.216 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 6.216 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.216 * [taylor]: Taking taylor expansion of 2.0 in re 6.216 * [backup-simplify]: Simplify 2.0 into 2.0 6.217 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.217 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.217 * [taylor]: Taking taylor expansion of im in re 6.217 * [backup-simplify]: Simplify im into im 6.217 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 6.217 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 6.217 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 6.217 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 6.217 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.217 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.217 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.217 * [taylor]: Taking taylor expansion of im in re 6.217 * [backup-simplify]: Simplify im into im 6.217 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.218 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.218 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.218 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.218 * [taylor]: Taking taylor expansion of re in re 6.218 * [backup-simplify]: Simplify 0 into 0 6.218 * [backup-simplify]: Simplify 1 into 1 6.218 * [backup-simplify]: Simplify (* 1 1) into 1 6.218 * [backup-simplify]: Simplify (/ 1 1) into 1 6.218 * [backup-simplify]: Simplify (+ 0 1) into 1 6.218 * [backup-simplify]: Simplify (sqrt 1) into 1 6.219 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.219 * [backup-simplify]: Simplify (+ 0 0) into 0 6.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.220 * [taylor]: Taking taylor expansion of re in re 6.220 * [backup-simplify]: Simplify 0 into 0 6.220 * [backup-simplify]: Simplify 1 into 1 6.220 * [backup-simplify]: Simplify (/ 1 1) into 1 6.220 * [backup-simplify]: Simplify (- 1) into -1 6.221 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.221 * [backup-simplify]: Simplify (- 0) into 0 6.221 * [backup-simplify]: Simplify (+ 0 0) into 0 6.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.222 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.222 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.223 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.224 * [backup-simplify]: Simplify (- 0) into 0 6.224 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.224 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 6.224 * [backup-simplify]: Simplify (sqrt 0) into 0 6.225 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 6.225 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 6.225 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 6.225 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.225 * [taylor]: Taking taylor expansion of 2.0 in im 6.225 * [backup-simplify]: Simplify 2.0 into 2.0 6.225 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.225 * [taylor]: Taking taylor expansion of im in im 6.225 * [backup-simplify]: Simplify 0 into 0 6.225 * [backup-simplify]: Simplify 1 into 1 6.226 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.226 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 6.226 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 6.226 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 6.226 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.226 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.226 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.226 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.226 * [taylor]: Taking taylor expansion of im in im 6.226 * [backup-simplify]: Simplify 0 into 0 6.226 * [backup-simplify]: Simplify 1 into 1 6.226 * [backup-simplify]: Simplify (* 1 1) into 1 6.227 * [backup-simplify]: Simplify (/ 1 1) into 1 6.227 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.227 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.227 * [taylor]: Taking taylor expansion of re in im 6.227 * [backup-simplify]: Simplify re into re 6.227 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.227 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.227 * [backup-simplify]: Simplify (+ 1 0) into 1 6.227 * [backup-simplify]: Simplify (sqrt 1) into 1 6.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.228 * [backup-simplify]: Simplify (+ 0 0) into 0 6.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.229 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.229 * [taylor]: Taking taylor expansion of re in im 6.229 * [backup-simplify]: Simplify re into re 6.229 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.229 * [backup-simplify]: Simplify (+ 1 0) into 1 6.229 * [backup-simplify]: Simplify (/ 1 1) into 1 6.229 * [backup-simplify]: Simplify (sqrt 0) into 0 6.230 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.230 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 6.230 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 6.230 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.230 * [taylor]: Taking taylor expansion of 2.0 in im 6.230 * [backup-simplify]: Simplify 2.0 into 2.0 6.231 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.231 * [taylor]: Taking taylor expansion of im in im 6.231 * [backup-simplify]: Simplify 0 into 0 6.231 * [backup-simplify]: Simplify 1 into 1 6.232 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.232 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 6.232 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 6.232 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 6.232 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.232 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.232 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.232 * [taylor]: Taking taylor expansion of im in im 6.232 * [backup-simplify]: Simplify 0 into 0 6.232 * [backup-simplify]: Simplify 1 into 1 6.232 * [backup-simplify]: Simplify (* 1 1) into 1 6.232 * [backup-simplify]: Simplify (/ 1 1) into 1 6.232 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.232 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.232 * [taylor]: Taking taylor expansion of re in im 6.232 * [backup-simplify]: Simplify re into re 6.232 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.232 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.233 * [backup-simplify]: Simplify (+ 1 0) into 1 6.233 * [backup-simplify]: Simplify (sqrt 1) into 1 6.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.234 * [backup-simplify]: Simplify (+ 0 0) into 0 6.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.234 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.234 * [taylor]: Taking taylor expansion of re in im 6.234 * [backup-simplify]: Simplify re into re 6.234 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.235 * [backup-simplify]: Simplify (+ 1 0) into 1 6.235 * [backup-simplify]: Simplify (/ 1 1) into 1 6.235 * [backup-simplify]: Simplify (sqrt 0) into 0 6.236 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.236 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 6.236 * [taylor]: Taking taylor expansion of 0 in re 6.236 * [backup-simplify]: Simplify 0 into 0 6.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.238 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 6.238 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 6.238 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 6.238 * [taylor]: Taking taylor expansion of +nan.0 in re 6.238 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.238 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.238 * [taylor]: Taking taylor expansion of 2.0 in re 6.238 * [backup-simplify]: Simplify 2.0 into 2.0 6.238 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.239 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.239 * [backup-simplify]: Simplify 0 into 0 6.239 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 6.239 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 6.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 6.240 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 6.240 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.241 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.241 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 6.241 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 6.241 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 6.241 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 6.241 * [taylor]: Taking taylor expansion of +nan.0 in re 6.242 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.242 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.242 * [taylor]: Taking taylor expansion of 2.0 in re 6.242 * [backup-simplify]: Simplify 2.0 into 2.0 6.242 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.242 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.242 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 6.242 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 6.242 * [taylor]: Taking taylor expansion of +nan.0 in re 6.242 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.242 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 6.242 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.242 * [taylor]: Taking taylor expansion of 2.0 in re 6.242 * [backup-simplify]: Simplify 2.0 into 2.0 6.243 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.243 * [taylor]: Taking taylor expansion of re in re 6.243 * [backup-simplify]: Simplify 0 into 0 6.243 * [backup-simplify]: Simplify 1 into 1 6.243 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.244 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 6.245 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.246 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 6.247 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 6.248 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.249 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 6.250 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.250 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.250 * [backup-simplify]: Simplify 0 into 0 6.251 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.252 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 6.252 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 6.252 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.253 * [backup-simplify]: Simplify (- 0) into 0 6.253 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 6.253 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 6.253 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 6.254 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.256 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 6.256 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 6.256 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 6.256 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 6.256 * [taylor]: Taking taylor expansion of +nan.0 in re 6.256 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.256 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.256 * [taylor]: Taking taylor expansion of 2.0 in re 6.256 * [backup-simplify]: Simplify 2.0 into 2.0 6.256 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.257 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 6.257 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 6.257 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 6.257 * [taylor]: Taking taylor expansion of +nan.0 in re 6.257 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.257 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 6.257 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.257 * [taylor]: Taking taylor expansion of 2.0 in re 6.257 * [backup-simplify]: Simplify 2.0 into 2.0 6.257 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.257 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.257 * [taylor]: Taking taylor expansion of re in re 6.257 * [backup-simplify]: Simplify 0 into 0 6.257 * [backup-simplify]: Simplify 1 into 1 6.258 * [backup-simplify]: Simplify (* 1 1) into 1 6.258 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.258 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 6.258 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 6.258 * [taylor]: Taking taylor expansion of +nan.0 in re 6.258 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.258 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 6.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.258 * [taylor]: Taking taylor expansion of 2.0 in re 6.258 * [backup-simplify]: Simplify 2.0 into 2.0 6.259 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.259 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.259 * [taylor]: Taking taylor expansion of re in re 6.259 * [backup-simplify]: Simplify 0 into 0 6.259 * [backup-simplify]: Simplify 1 into 1 6.259 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 6.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 6.261 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 6.261 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 6.262 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.263 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 6.265 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 6.266 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 6.267 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 6.268 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 6.271 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 6.271 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 1) 6.271 * [backup-simplify]: Simplify (+ re (sqrt (+ (* re re) (* im im)))) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 6.271 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 6.271 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 6.271 * [taylor]: Taking taylor expansion of re in im 6.271 * [backup-simplify]: Simplify re into re 6.271 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.271 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.271 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.271 * [taylor]: Taking taylor expansion of re in im 6.271 * [backup-simplify]: Simplify re into re 6.271 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.271 * [taylor]: Taking taylor expansion of im in im 6.271 * [backup-simplify]: Simplify 0 into 0 6.271 * [backup-simplify]: Simplify 1 into 1 6.271 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.271 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.271 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.271 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.272 * [backup-simplify]: Simplify (+ 0 0) into 0 6.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.272 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 6.272 * [taylor]: Taking taylor expansion of re in re 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify 1 into 1 6.272 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.272 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.272 * [taylor]: Taking taylor expansion of re in re 6.272 * [backup-simplify]: Simplify 0 into 0 6.272 * [backup-simplify]: Simplify 1 into 1 6.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.272 * [taylor]: Taking taylor expansion of im in re 6.272 * [backup-simplify]: Simplify im into im 6.272 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.272 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.272 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.272 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.272 * [backup-simplify]: Simplify (+ 0 0) into 0 6.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.273 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 6.273 * [taylor]: Taking taylor expansion of re in re 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 1 into 1 6.273 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.273 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.273 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.273 * [taylor]: Taking taylor expansion of re in re 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 1 into 1 6.273 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.273 * [taylor]: Taking taylor expansion of im in re 6.273 * [backup-simplify]: Simplify im into im 6.273 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.273 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.273 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.273 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.273 * [backup-simplify]: Simplify (+ 0 0) into 0 6.273 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.273 * [backup-simplify]: Simplify (+ 0 im) into im 6.273 * [taylor]: Taking taylor expansion of im in im 6.273 * [backup-simplify]: Simplify 0 into 0 6.273 * [backup-simplify]: Simplify 1 into 1 6.273 * [backup-simplify]: Simplify 0 into 0 6.274 * [backup-simplify]: Simplify (+ 1 0) into 1 6.274 * [taylor]: Taking taylor expansion of 1 in im 6.274 * [backup-simplify]: Simplify 1 into 1 6.274 * [backup-simplify]: Simplify 1 into 1 6.274 * [backup-simplify]: Simplify 1 into 1 6.274 * [backup-simplify]: Simplify (* 1 1) into 1 6.274 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.275 * [backup-simplify]: Simplify (+ 1 0) into 1 6.275 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.275 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 6.275 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 6.275 * [taylor]: Taking taylor expansion of 1/2 in im 6.275 * [backup-simplify]: Simplify 1/2 into 1/2 6.275 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.275 * [taylor]: Taking taylor expansion of im in im 6.275 * [backup-simplify]: Simplify 0 into 0 6.275 * [backup-simplify]: Simplify 1 into 1 6.275 * [backup-simplify]: Simplify (/ 1 1) into 1 6.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.276 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify 0 into 0 6.276 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.277 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.277 * [backup-simplify]: Simplify (+ 0 0) into 0 6.277 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.277 * [backup-simplify]: Simplify (+ 0 0) into 0 6.277 * [taylor]: Taking taylor expansion of 0 in im 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify 0 into 0 6.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.278 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.278 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 6.279 * [backup-simplify]: Simplify (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 6.279 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 6.279 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.279 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.279 * [taylor]: Taking taylor expansion of re in im 6.279 * [backup-simplify]: Simplify re into re 6.279 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.279 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.279 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.279 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.279 * [taylor]: Taking taylor expansion of im in im 6.279 * [backup-simplify]: Simplify 0 into 0 6.279 * [backup-simplify]: Simplify 1 into 1 6.279 * [backup-simplify]: Simplify (* 1 1) into 1 6.279 * [backup-simplify]: Simplify (/ 1 1) into 1 6.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.279 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.280 * [taylor]: Taking taylor expansion of re in im 6.280 * [backup-simplify]: Simplify re into re 6.280 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.280 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.280 * [backup-simplify]: Simplify (+ 1 0) into 1 6.280 * [backup-simplify]: Simplify (sqrt 1) into 1 6.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.281 * [backup-simplify]: Simplify (+ 0 0) into 0 6.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.281 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.282 * [taylor]: Taking taylor expansion of re in re 6.282 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify 1 into 1 6.282 * [backup-simplify]: Simplify (/ 1 1) into 1 6.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.282 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.282 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.282 * [taylor]: Taking taylor expansion of im in re 6.282 * [backup-simplify]: Simplify im into im 6.282 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.282 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.282 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.282 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.282 * [taylor]: Taking taylor expansion of re in re 6.282 * [backup-simplify]: Simplify 0 into 0 6.282 * [backup-simplify]: Simplify 1 into 1 6.282 * [backup-simplify]: Simplify (* 1 1) into 1 6.282 * [backup-simplify]: Simplify (/ 1 1) into 1 6.283 * [backup-simplify]: Simplify (+ 0 1) into 1 6.283 * [backup-simplify]: Simplify (sqrt 1) into 1 6.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.284 * [backup-simplify]: Simplify (+ 0 0) into 0 6.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.284 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.284 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.284 * [taylor]: Taking taylor expansion of re in re 6.284 * [backup-simplify]: Simplify 0 into 0 6.284 * [backup-simplify]: Simplify 1 into 1 6.285 * [backup-simplify]: Simplify (/ 1 1) into 1 6.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.285 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.285 * [taylor]: Taking taylor expansion of im in re 6.285 * [backup-simplify]: Simplify im into im 6.285 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.285 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.285 * [taylor]: Taking taylor expansion of re in re 6.285 * [backup-simplify]: Simplify 0 into 0 6.285 * [backup-simplify]: Simplify 1 into 1 6.285 * [backup-simplify]: Simplify (* 1 1) into 1 6.285 * [backup-simplify]: Simplify (/ 1 1) into 1 6.286 * [backup-simplify]: Simplify (+ 0 1) into 1 6.286 * [backup-simplify]: Simplify (sqrt 1) into 1 6.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.290 * [backup-simplify]: Simplify (+ 0 0) into 0 6.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.291 * [backup-simplify]: Simplify (+ 1 1) into 2 6.291 * [taylor]: Taking taylor expansion of 2 in im 6.291 * [backup-simplify]: Simplify 2 into 2 6.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.292 * [backup-simplify]: Simplify (+ 0 0) into 0 6.292 * [taylor]: Taking taylor expansion of 0 in im 6.292 * [backup-simplify]: Simplify 0 into 0 6.292 * [backup-simplify]: Simplify 2 into 2 6.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.294 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.294 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.295 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 6.295 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.295 * [taylor]: Taking taylor expansion of 1/2 in im 6.295 * [backup-simplify]: Simplify 1/2 into 1/2 6.295 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.295 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.295 * [taylor]: Taking taylor expansion of im in im 6.295 * [backup-simplify]: Simplify 0 into 0 6.295 * [backup-simplify]: Simplify 1 into 1 6.295 * [backup-simplify]: Simplify (* 1 1) into 1 6.295 * [backup-simplify]: Simplify (/ 1 1) into 1 6.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.296 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.296 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify 0 into 0 6.296 * [backup-simplify]: Simplify 0 into 0 6.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.297 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.297 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.299 * [backup-simplify]: Simplify (+ 0 0) into 0 6.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.299 * [backup-simplify]: Simplify (+ 0 0) into 0 6.299 * [taylor]: Taking taylor expansion of 0 in im 6.299 * [backup-simplify]: Simplify 0 into 0 6.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.300 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.301 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 6.301 * [backup-simplify]: Simplify (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 6.301 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 6.301 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 6.301 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.301 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.301 * [taylor]: Taking taylor expansion of im in im 6.301 * [backup-simplify]: Simplify 0 into 0 6.301 * [backup-simplify]: Simplify 1 into 1 6.302 * [backup-simplify]: Simplify (* 1 1) into 1 6.302 * [backup-simplify]: Simplify (/ 1 1) into 1 6.302 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.302 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.302 * [taylor]: Taking taylor expansion of re in im 6.302 * [backup-simplify]: Simplify re into re 6.302 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.302 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.302 * [backup-simplify]: Simplify (+ 1 0) into 1 6.303 * [backup-simplify]: Simplify (sqrt 1) into 1 6.303 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.303 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.303 * [backup-simplify]: Simplify (+ 0 0) into 0 6.304 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.304 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.304 * [taylor]: Taking taylor expansion of re in im 6.304 * [backup-simplify]: Simplify re into re 6.304 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.304 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 6.304 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.304 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.304 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.304 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.304 * [taylor]: Taking taylor expansion of im in re 6.304 * [backup-simplify]: Simplify im into im 6.304 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.304 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.304 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.304 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.304 * [taylor]: Taking taylor expansion of re in re 6.304 * [backup-simplify]: Simplify 0 into 0 6.304 * [backup-simplify]: Simplify 1 into 1 6.305 * [backup-simplify]: Simplify (* 1 1) into 1 6.305 * [backup-simplify]: Simplify (/ 1 1) into 1 6.305 * [backup-simplify]: Simplify (+ 0 1) into 1 6.305 * [backup-simplify]: Simplify (sqrt 1) into 1 6.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.306 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.306 * [backup-simplify]: Simplify (+ 0 0) into 0 6.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.307 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.307 * [taylor]: Taking taylor expansion of re in re 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 1 into 1 6.307 * [backup-simplify]: Simplify (/ 1 1) into 1 6.307 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 6.307 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.307 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.307 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.307 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.307 * [taylor]: Taking taylor expansion of im in re 6.307 * [backup-simplify]: Simplify im into im 6.307 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.307 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.307 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.307 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.307 * [taylor]: Taking taylor expansion of re in re 6.307 * [backup-simplify]: Simplify 0 into 0 6.307 * [backup-simplify]: Simplify 1 into 1 6.308 * [backup-simplify]: Simplify (* 1 1) into 1 6.308 * [backup-simplify]: Simplify (/ 1 1) into 1 6.308 * [backup-simplify]: Simplify (+ 0 1) into 1 6.308 * [backup-simplify]: Simplify (sqrt 1) into 1 6.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.309 * [backup-simplify]: Simplify (+ 0 0) into 0 6.310 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.310 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.310 * [taylor]: Taking taylor expansion of re in re 6.310 * [backup-simplify]: Simplify 0 into 0 6.310 * [backup-simplify]: Simplify 1 into 1 6.310 * [backup-simplify]: Simplify (/ 1 1) into 1 6.310 * [backup-simplify]: Simplify (- 1) into -1 6.310 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.310 * [taylor]: Taking taylor expansion of 0 in im 6.310 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.311 * [backup-simplify]: Simplify (- 0) into 0 6.311 * [backup-simplify]: Simplify (+ 0 0) into 0 6.311 * [taylor]: Taking taylor expansion of 0 in im 6.311 * [backup-simplify]: Simplify 0 into 0 6.311 * [backup-simplify]: Simplify 0 into 0 6.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.312 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.312 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.313 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.314 * [backup-simplify]: Simplify (- 0) into 0 6.314 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.314 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.314 * [taylor]: Taking taylor expansion of 1/2 in im 6.314 * [backup-simplify]: Simplify 1/2 into 1/2 6.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.314 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.314 * [taylor]: Taking taylor expansion of im in im 6.314 * [backup-simplify]: Simplify 0 into 0 6.314 * [backup-simplify]: Simplify 1 into 1 6.314 * [backup-simplify]: Simplify (* 1 1) into 1 6.315 * [backup-simplify]: Simplify (/ 1 1) into 1 6.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.315 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.316 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify 0 into 0 6.316 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.316 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.317 * [backup-simplify]: Simplify (+ 0 0) into 0 6.318 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.318 * [backup-simplify]: Simplify (- 0) into 0 6.319 * [backup-simplify]: Simplify (+ 0 0) into 0 6.319 * [taylor]: Taking taylor expansion of 0 in im 6.319 * [backup-simplify]: Simplify 0 into 0 6.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.319 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.320 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 6.320 * [backup-simplify]: Simplify (/ im (/ (+ re (sqrt (+ (* re re) (* im im)))) im)) into (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) 6.320 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 6.320 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 6.320 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.320 * [taylor]: Taking taylor expansion of im in re 6.320 * [backup-simplify]: Simplify im into im 6.320 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 6.320 * [taylor]: Taking taylor expansion of re in re 6.320 * [backup-simplify]: Simplify 0 into 0 6.320 * [backup-simplify]: Simplify 1 into 1 6.321 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.321 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.321 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.321 * [taylor]: Taking taylor expansion of re in re 6.321 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify 1 into 1 6.321 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.321 * [taylor]: Taking taylor expansion of im in re 6.321 * [backup-simplify]: Simplify im into im 6.321 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.321 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.321 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.321 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.321 * [backup-simplify]: Simplify (+ 0 0) into 0 6.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.321 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.321 * [backup-simplify]: Simplify (+ 0 im) into im 6.321 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 6.321 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 6.321 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.321 * [taylor]: Taking taylor expansion of im in im 6.321 * [backup-simplify]: Simplify 0 into 0 6.321 * [backup-simplify]: Simplify 1 into 1 6.321 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 6.322 * [taylor]: Taking taylor expansion of re in im 6.322 * [backup-simplify]: Simplify re into re 6.322 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.322 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.322 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.322 * [taylor]: Taking taylor expansion of re in im 6.322 * [backup-simplify]: Simplify re into re 6.322 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.322 * [taylor]: Taking taylor expansion of im in im 6.322 * [backup-simplify]: Simplify 0 into 0 6.322 * [backup-simplify]: Simplify 1 into 1 6.322 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.322 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.322 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.322 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.322 * [backup-simplify]: Simplify (+ 0 0) into 0 6.322 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.322 * [backup-simplify]: Simplify (* 1 1) into 1 6.322 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 6.323 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 6.323 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 6.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.323 * [taylor]: Taking taylor expansion of im in im 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 1 into 1 6.323 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 6.323 * [taylor]: Taking taylor expansion of re in im 6.323 * [backup-simplify]: Simplify re into re 6.323 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.323 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.323 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.323 * [taylor]: Taking taylor expansion of re in im 6.323 * [backup-simplify]: Simplify re into re 6.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.323 * [taylor]: Taking taylor expansion of im in im 6.323 * [backup-simplify]: Simplify 0 into 0 6.323 * [backup-simplify]: Simplify 1 into 1 6.323 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.323 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.323 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.323 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.323 * [backup-simplify]: Simplify (+ 0 0) into 0 6.323 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.324 * [backup-simplify]: Simplify (* 1 1) into 1 6.324 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 6.324 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 6.324 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 6.324 * [taylor]: Taking taylor expansion of 1/2 in re 6.324 * [backup-simplify]: Simplify 1/2 into 1/2 6.324 * [taylor]: Taking taylor expansion of re in re 6.324 * [backup-simplify]: Simplify 0 into 0 6.324 * [backup-simplify]: Simplify 1 into 1 6.324 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.325 * [backup-simplify]: Simplify (+ 0 0) into 0 6.325 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 6.325 * [taylor]: Taking taylor expansion of 0 in re 6.325 * [backup-simplify]: Simplify 0 into 0 6.325 * [backup-simplify]: Simplify 0 into 0 6.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.326 * [backup-simplify]: Simplify 0 into 0 6.326 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.327 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.327 * [backup-simplify]: Simplify (* 1 1) into 1 6.327 * [backup-simplify]: Simplify (+ 0 1) into 1 6.328 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 6.328 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 6.328 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 6.328 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 6.328 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 6.328 * [taylor]: Taking taylor expansion of 1/8 in re 6.328 * [backup-simplify]: Simplify 1/8 into 1/8 6.328 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 6.328 * [taylor]: Taking taylor expansion of (pow re 3) in re 6.328 * [taylor]: Taking taylor expansion of re in re 6.328 * [backup-simplify]: Simplify 0 into 0 6.328 * [backup-simplify]: Simplify 1 into 1 6.328 * [backup-simplify]: Simplify (* 1 1) into 1 6.328 * [backup-simplify]: Simplify (* 1 1) into 1 6.329 * [backup-simplify]: Simplify (/ 1 1) into 1 6.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.333 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.333 * [backup-simplify]: Simplify (- 0) into 0 6.333 * [backup-simplify]: Simplify 0 into 0 6.333 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.334 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify (/ (/ 1 im) (/ (+ (/ 1 re) (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (/ 1 im))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) 6.334 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 6.334 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 6.334 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 6.334 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.334 * [taylor]: Taking taylor expansion of re in re 6.334 * [backup-simplify]: Simplify 0 into 0 6.334 * [backup-simplify]: Simplify 1 into 1 6.335 * [backup-simplify]: Simplify (/ 1 1) into 1 6.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.335 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.335 * [taylor]: Taking taylor expansion of im in re 6.335 * [backup-simplify]: Simplify im into im 6.335 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.335 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.335 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.335 * [taylor]: Taking taylor expansion of re in re 6.335 * [backup-simplify]: Simplify 0 into 0 6.335 * [backup-simplify]: Simplify 1 into 1 6.335 * [backup-simplify]: Simplify (* 1 1) into 1 6.335 * [backup-simplify]: Simplify (/ 1 1) into 1 6.336 * [backup-simplify]: Simplify (+ 0 1) into 1 6.336 * [backup-simplify]: Simplify (sqrt 1) into 1 6.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.337 * [backup-simplify]: Simplify (+ 0 0) into 0 6.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.337 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.337 * [taylor]: Taking taylor expansion of im in re 6.337 * [backup-simplify]: Simplify im into im 6.338 * [backup-simplify]: Simplify (+ 1 1) into 2 6.338 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.338 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 6.338 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 6.338 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 6.338 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 6.338 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.338 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.338 * [taylor]: Taking taylor expansion of re in im 6.338 * [backup-simplify]: Simplify re into re 6.338 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.338 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.338 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.338 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.338 * [taylor]: Taking taylor expansion of im in im 6.338 * [backup-simplify]: Simplify 0 into 0 6.338 * [backup-simplify]: Simplify 1 into 1 6.338 * [backup-simplify]: Simplify (* 1 1) into 1 6.339 * [backup-simplify]: Simplify (/ 1 1) into 1 6.339 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.339 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.339 * [taylor]: Taking taylor expansion of re in im 6.339 * [backup-simplify]: Simplify re into re 6.339 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.339 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.339 * [backup-simplify]: Simplify (+ 1 0) into 1 6.339 * [backup-simplify]: Simplify (sqrt 1) into 1 6.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.341 * [backup-simplify]: Simplify (+ 0 0) into 0 6.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.341 * [taylor]: Taking taylor expansion of im in im 6.341 * [backup-simplify]: Simplify 0 into 0 6.341 * [backup-simplify]: Simplify 1 into 1 6.341 * [backup-simplify]: Simplify (+ 0 1) into 1 6.342 * [backup-simplify]: Simplify (* 1 1) into 1 6.342 * [backup-simplify]: Simplify (* 1 1) into 1 6.342 * [backup-simplify]: Simplify (/ 1 1) into 1 6.342 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 6.342 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 6.342 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.342 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.342 * [taylor]: Taking taylor expansion of re in im 6.342 * [backup-simplify]: Simplify re into re 6.342 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.342 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.342 * [taylor]: Taking taylor expansion of im in im 6.342 * [backup-simplify]: Simplify 0 into 0 6.342 * [backup-simplify]: Simplify 1 into 1 6.342 * [backup-simplify]: Simplify (* 1 1) into 1 6.343 * [backup-simplify]: Simplify (/ 1 1) into 1 6.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.343 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.343 * [taylor]: Taking taylor expansion of re in im 6.343 * [backup-simplify]: Simplify re into re 6.343 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.343 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.343 * [backup-simplify]: Simplify (+ 1 0) into 1 6.343 * [backup-simplify]: Simplify (sqrt 1) into 1 6.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.344 * [backup-simplify]: Simplify (+ 0 0) into 0 6.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.345 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.345 * [taylor]: Taking taylor expansion of im in im 6.345 * [backup-simplify]: Simplify 0 into 0 6.345 * [backup-simplify]: Simplify 1 into 1 6.345 * [backup-simplify]: Simplify (+ 0 1) into 1 6.345 * [backup-simplify]: Simplify (* 1 1) into 1 6.345 * [backup-simplify]: Simplify (* 1 1) into 1 6.346 * [backup-simplify]: Simplify (/ 1 1) into 1 6.346 * [taylor]: Taking taylor expansion of 1 in re 6.346 * [backup-simplify]: Simplify 1 into 1 6.346 * [backup-simplify]: Simplify 0 into 0 6.346 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.346 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 6.347 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 6.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 6.347 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 6.347 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.347 * [taylor]: Taking taylor expansion of re in re 6.347 * [backup-simplify]: Simplify 0 into 0 6.347 * [backup-simplify]: Simplify 1 into 1 6.347 * [backup-simplify]: Simplify (/ 1 1) into 1 6.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.348 * [backup-simplify]: Simplify (- 0) into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify 0 into 0 6.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.349 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.349 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.350 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 6.350 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 6.351 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 6.351 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 6.351 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 6.351 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 6.351 * [taylor]: Taking taylor expansion of 1/2 in re 6.351 * [backup-simplify]: Simplify 1/2 into 1/2 6.351 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.351 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.351 * [taylor]: Taking taylor expansion of re in re 6.351 * [backup-simplify]: Simplify 0 into 0 6.351 * [backup-simplify]: Simplify 1 into 1 6.352 * [backup-simplify]: Simplify (* 1 1) into 1 6.352 * [backup-simplify]: Simplify (/ 1 1) into 1 6.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.355 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.355 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.355 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.356 * [backup-simplify]: Simplify (- 0) into 0 6.356 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify 0 into 0 6.356 * [backup-simplify]: Simplify (/ (/ 1 (- im)) (/ (+ (/ 1 (- re)) (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (/ 1 (- im)))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) 6.356 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 6.356 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 6.356 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 6.356 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 6.356 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.356 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.356 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.356 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.356 * [taylor]: Taking taylor expansion of im in re 6.356 * [backup-simplify]: Simplify im into im 6.356 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.357 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.357 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.357 * [taylor]: Taking taylor expansion of re in re 6.357 * [backup-simplify]: Simplify 0 into 0 6.357 * [backup-simplify]: Simplify 1 into 1 6.357 * [backup-simplify]: Simplify (* 1 1) into 1 6.357 * [backup-simplify]: Simplify (/ 1 1) into 1 6.357 * [backup-simplify]: Simplify (+ 0 1) into 1 6.358 * [backup-simplify]: Simplify (sqrt 1) into 1 6.358 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.359 * [backup-simplify]: Simplify (+ 0 0) into 0 6.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.359 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.359 * [taylor]: Taking taylor expansion of re in re 6.359 * [backup-simplify]: Simplify 0 into 0 6.359 * [backup-simplify]: Simplify 1 into 1 6.359 * [backup-simplify]: Simplify (/ 1 1) into 1 6.359 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.359 * [taylor]: Taking taylor expansion of im in re 6.359 * [backup-simplify]: Simplify im into im 6.359 * [backup-simplify]: Simplify (- 1) into -1 6.360 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.360 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.360 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0 6.360 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.361 * [backup-simplify]: Simplify (- 0) into 0 6.361 * [backup-simplify]: Simplify (+ 0 0) into 0 6.361 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0 6.361 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.362 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.363 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.364 * [backup-simplify]: Simplify (- 0) into 0 6.364 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.365 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2 6.365 * [backup-simplify]: Simplify (/ 1 1/2) into 2 6.365 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 6.365 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 6.365 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 6.365 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.365 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.365 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.365 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.365 * [taylor]: Taking taylor expansion of im in im 6.365 * [backup-simplify]: Simplify 0 into 0 6.365 * [backup-simplify]: Simplify 1 into 1 6.365 * [backup-simplify]: Simplify (* 1 1) into 1 6.365 * [backup-simplify]: Simplify (/ 1 1) into 1 6.365 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.365 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.365 * [taylor]: Taking taylor expansion of re in im 6.366 * [backup-simplify]: Simplify re into re 6.366 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.366 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.366 * [backup-simplify]: Simplify (+ 1 0) into 1 6.366 * [backup-simplify]: Simplify (sqrt 1) into 1 6.366 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.367 * [backup-simplify]: Simplify (+ 0 0) into 0 6.367 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.367 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.368 * [taylor]: Taking taylor expansion of re in im 6.368 * [backup-simplify]: Simplify re into re 6.368 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.368 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.368 * [taylor]: Taking taylor expansion of im in im 6.368 * [backup-simplify]: Simplify 0 into 0 6.368 * [backup-simplify]: Simplify 1 into 1 6.368 * [backup-simplify]: Simplify (+ 1 0) into 1 6.368 * [backup-simplify]: Simplify (* 1 1) into 1 6.368 * [backup-simplify]: Simplify (* 1 1) into 1 6.369 * [backup-simplify]: Simplify (/ 1 1) into 1 6.369 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 6.369 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 6.369 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 6.369 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.369 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.369 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.369 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.369 * [taylor]: Taking taylor expansion of im in im 6.369 * [backup-simplify]: Simplify 0 into 0 6.369 * [backup-simplify]: Simplify 1 into 1 6.369 * [backup-simplify]: Simplify (* 1 1) into 1 6.369 * [backup-simplify]: Simplify (/ 1 1) into 1 6.369 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.369 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.369 * [taylor]: Taking taylor expansion of re in im 6.369 * [backup-simplify]: Simplify re into re 6.369 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.369 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.370 * [backup-simplify]: Simplify (+ 1 0) into 1 6.370 * [backup-simplify]: Simplify (sqrt 1) into 1 6.370 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.371 * [backup-simplify]: Simplify (+ 0 0) into 0 6.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.371 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.371 * [taylor]: Taking taylor expansion of re in im 6.371 * [backup-simplify]: Simplify re into re 6.371 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.371 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.371 * [taylor]: Taking taylor expansion of im in im 6.371 * [backup-simplify]: Simplify 0 into 0 6.371 * [backup-simplify]: Simplify 1 into 1 6.372 * [backup-simplify]: Simplify (+ 1 0) into 1 6.372 * [backup-simplify]: Simplify (* 1 1) into 1 6.372 * [backup-simplify]: Simplify (* 1 1) into 1 6.372 * [backup-simplify]: Simplify (/ 1 1) into 1 6.372 * [taylor]: Taking taylor expansion of 1 in re 6.372 * [backup-simplify]: Simplify 1 into 1 6.373 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.373 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 6.373 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 6.373 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re)) 6.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 6.373 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.373 * [taylor]: Taking taylor expansion of re in re 6.373 * [backup-simplify]: Simplify 0 into 0 6.373 * [backup-simplify]: Simplify 1 into 1 6.373 * [backup-simplify]: Simplify (/ 1 1) into 1 6.374 * [backup-simplify]: Simplify 1 into 1 6.374 * [backup-simplify]: Simplify 1 into 1 6.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.375 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 6.376 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 6.376 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.376 * [backup-simplify]: Simplify (- 0) into 0 6.376 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 6.377 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 6.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 6.377 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 6.377 * [taylor]: Taking taylor expansion of 1/2 in re 6.377 * [backup-simplify]: Simplify 1/2 into 1/2 6.377 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.377 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.377 * [taylor]: Taking taylor expansion of re in re 6.377 * [backup-simplify]: Simplify 0 into 0 6.377 * [backup-simplify]: Simplify 1 into 1 6.377 * [backup-simplify]: Simplify (* 1 1) into 1 6.378 * [backup-simplify]: Simplify (/ 1 1) into 1 6.378 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.379 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.379 * [backup-simplify]: Simplify 0 into 0 6.379 * [backup-simplify]: Simplify 0 into 0 6.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.384 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.384 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 6.384 * [backup-simplify]: Simplify (+ 0 0) into 0 6.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 6.385 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 6.385 * [backup-simplify]: Simplify (- 0) into 0 6.385 * [backup-simplify]: Simplify (+ 0 0) into 0 6.386 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0 6.387 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 6.387 * [taylor]: Taking taylor expansion of 0 in re 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.388 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.388 * [backup-simplify]: Simplify 0 into 0 6.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.389 * [backup-simplify]: Simplify 0 into 0 6.389 * [backup-simplify]: Simplify 0 into 0 6.389 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 6.389 * * * [progress]: simplifying candidates 6.392 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (/ im (/ (+ re (sqrt (+ (* re re) (* im im)))) im))))) (exp (sqrt (* 2.0 (/ im (/ (+ re (sqrt (+ (* re re) (* im im)))) im))))) (* (cbrt (sqrt (* 2.0 (/ im (/ (+ re (sqrt (+ (* re re) (* im im)))) im))))) (cbrt (sqrt (* 2.0 (/ im (/ (+ re (sqrt (+ (* re re) (* im im)))) im)))))) (cbrt (sqrt (* 2.0 (/ im (/ (+ re (sqrt (+ (* re re) (* im im)))) im))))) (* (* (sqrt (* 2.0 (/ im (/ (+ re (sqrt (+ (* re re) (* im im)))) im)))) (sqrt (* 2.0 (/ im (/ (+ re (sqrt (+ (* re re) (* im im)))) im))))) (sqrt (* 2.0 (/ im (/ (+ re (sqrt (+ (* re re) (* im im)))) im))))) (sqrt 2.0) (sqrt (/ im (/ (+ re (sqrt (+ (* re re) (* im im)))) im))) (sqrt (* 2.0 im)) (sqrt (/ (+ re (sqrt (+ (* re re) (* im im)))) im)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ im (/ (+ re (sqrt (+ (* re re) (* im im)))) im))))) (sqrt (sqrt (* 2.0 (/ im (/ (+ re (sqrt (+ (* re re) (* im im)))) im))))) (* (exp re) (exp (sqrt (+ (* re re) (* im im))))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (* (* (+ re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im))))) (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (+ (pow re 3) (pow (sqrt (+ (* re re) (* im im))) 3)) (+ (* re re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))))) (- re (sqrt (+ (* re re) (* im im)))) (+ re (sqrt (+ (* re re) (* im im)))) (- (log im) (- (log (+ re (sqrt (+ (* re re) (* im im))))) (log im))) (- (log im) (log (/ (+ re (sqrt (+ (* re re) (* im im)))) im))) (log (/ im (/ 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Extracting # 3 : cost 0 6.396 * * [simplify]: Extracting # 4 : cost 0 6.397 * * [simplify]: Extracting # 5 : cost 0 6.397 * * [simplify]: Extracting # 6 : cost 0 6.397 * * [simplify]: Extracting # 7 : cost 0 6.397 * * [simplify]: Extracting # 8 : cost 0 6.398 * * [simplify]: Extracting # 9 : cost 0 6.398 * * [simplify]: Extracting # 10 : cost 0 6.398 * * [simplify]: Extracting # 11 : cost 0 6.399 * * [simplify]: Extracting # 12 : cost 0 6.399 * * [simplify]: Extracting # 13 : cost 0 6.399 * * [simplify]: Extracting # 14 : cost 0 6.399 * * [simplify]: iteration 0 : 244 enodes (cost 2856 ) 6.457 * * [simplify]: Extracting # 0 : cost 0 6.458 * * [simplify]: Extracting # 1 : cost 0 6.459 * * [simplify]: Extracting # 2 : cost 0 6.459 * * [simplify]: Extracting # 3 : cost 0 6.460 * * [simplify]: Extracting # 4 : cost 0 6.461 * * [simplify]: iteration 1 : 556 enodes (cost 2658 ) 6.667 * * [simplify]: Extracting # 0 : cost 0 6.669 * * [simplify]: Extracting # 1 : cost 0 6.672 * * [simplify]: Extracting # 2 : cost 0 6.674 * * [simplify]: Extracting # 3 : cost 0 6.679 * * [simplify]: Extracting # 4 : cost 0 6.681 * * [simplify]: iteration 2 : 1826 enodes (cost 2485 ) 7.462 * * [simplify]: Extracting # 0 : cost 0 7.469 * * [simplify]: Extracting # 1 : cost 0 7.474 * * [simplify]: Extracting # 2 : cost 0 7.480 * * [simplify]: Extracting # 3 : cost 0 7.485 * * [simplify]: Extracting # 4 : cost 0 7.490 * * [simplify]: iteration done: 5000 enodes (cost 2445 ) 7.491 * [simplify]: Simplified to: (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)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) 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im))) im (/ im (+ re (sqrt (+ (* re re) (* im im))))) (sqrt im) (/ (sqrt im) (/ (+ re (sqrt (+ (* re re) (* im im)))) im)) (sqrt im) (/ (sqrt im) (/ (+ re (sqrt (+ (* re re) (* im im)))) im)) (/ (sqrt im) (+ (sqrt (+ (* re re) (* im im))) re)) (* im (sqrt im)) (/ 1 (* (cbrt (/ (+ re (sqrt (+ (* re re) (* im im)))) im)) (cbrt (/ (+ re (sqrt (+ (* re re) (* im im)))) im)))) (/ im (cbrt (/ (+ re (sqrt (+ (* re re) (* im im)))) im))) (/ 1 (sqrt (/ (+ re (sqrt (+ (* re re) (* im im)))) im))) (/ im (sqrt (/ (+ re (sqrt (+ (* re re) (* im im)))) im))) (/ (cbrt im) (/ (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt im))) (/ im (/ (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt im))) (/ (sqrt im) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ (sqrt im) (/ (cbrt (+ re (sqrt (+ (* re re) (* im im))))) im)) (/ 1 (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* 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im im))))) (/ (/ (+ re (sqrt (+ (* re re) (* im im)))) im) im) (/ im (* (cbrt (/ (+ re (sqrt (+ (* re re) (* im im)))) im)) (cbrt (/ (+ re (sqrt (+ (* re re) (* im im)))) im)))) (/ im (sqrt (/ (+ re (sqrt (+ (* re re) (* im im)))) im))) (/ im (/ (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (* (cbrt im) (cbrt im)))) (/ im (/ (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (sqrt im))) (/ im (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))))) (/ im (/ (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt im) (cbrt im)))) (/ (sqrt im) (/ (sqrt (+ re (sqrt (+ (* re re) (* im im))))) im)) (/ im (sqrt (+ re (sqrt (+ (* re re) (* im im)))))) (* im (* (cbrt im) (cbrt im))) (* im (sqrt im)) im (* im (* (cbrt im) (cbrt im))) (* im (sqrt im)) im im (/ im (+ re (sqrt (+ (* re re) (* im im))))) (/ (/ (+ re (sqrt (+ (* re re) (* im im)))) im) (cbrt im)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (* im (sqrt im))) (/ (/ (+ re (sqrt (+ (* re re) (* im im)))) im) im) (/ im (+ re (sqrt (+ (* re re) (* im im))))) im re (- re) (- (+ (* (* (* +nan.0 (sqrt 2.0)) (sqrt 1/2)) (- (* im re) im)) (/ (* +nan.0 (sqrt 2.0)) (/ (sqrt 1/2) (pow im 3))))) (- (+ (* (/ (sqrt 2.0) im) (- (/ +nan.0 im) +nan.0)) (* +nan.0 (sqrt 2.0)))) (* +nan.0 (+ (- (sqrt 2.0)) (* (/ (sqrt 2.0) im) (- re (/ re im))))) (+ re im) (* 2 re) 0 0 0 (- (+ re im)) 7.492 * * * [progress]: adding candidates to table 7.792 * [progress]: [Phase 3 of 3] Extracting. 7.792 * * [regime]: Finding splitpoints for: (# # # # # # # # # #) 7.795 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 7.795 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # #) 7.858 * * * * [regimes]: Trying to branch on (* im im) from (# # # #) 7.898 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # #) 7.994 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # #) 8.065 * * * [regime]: Found split indices: #