2.373 * [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)))) 0.030 * [simplify]: Sending expressions to egg_math: (* h3 (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) 0.031 * * [simplify]: iteration 0 : 17 enodes (cost 8 ) 0.032 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.034 * * [simplify]: iteration 2 : 30 enodes (cost 8 ) 0.035 * * [simplify]: iteration 3 : 35 enodes (cost 8 ) 0.036 * * [simplify]: iteration 4 : 35 enodes (cost 8 ) 0.037 * * [progress]: iteration 1 / 4 0.037 * * * [progress]: picking best candidate 0.039 * * * * [pick]: Picked # 0.039 * * * [progress]: localizing error 0.052 * * * [progress]: generating rewritten candidates 0.052 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.059 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.097 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.126 * * * [progress]: generating series expansions 0.126 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.126 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.126 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.126 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.126 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.126 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.126 * [taylor]: Taking taylor expansion of re in im 0.126 * [backup-simplify]: Simplify re into re 0.126 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 0.127 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.127 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.127 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.127 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.127 * [backup-simplify]: Simplify (+ 0 0) into 0 0.127 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.127 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.127 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.127 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.127 * [taylor]: Taking taylor expansion of re in re 0.127 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.128 * [backup-simplify]: Simplify im into im 0.128 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.128 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.128 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.128 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.128 * [backup-simplify]: Simplify (+ 0 0) into 0 0.128 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.128 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.128 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.128 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.128 * [taylor]: Taking taylor expansion of re in re 0.128 * [backup-simplify]: Simplify 0 into 0 0.128 * [backup-simplify]: Simplify 1 into 1 0.128 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.128 * [taylor]: Taking taylor expansion of im in re 0.128 * [backup-simplify]: Simplify im into im 0.128 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.128 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.129 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.129 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.129 * [backup-simplify]: Simplify (+ 0 0) into 0 0.129 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.129 * [taylor]: Taking taylor expansion of im in im 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [backup-simplify]: Simplify 1 into 1 0.129 * [backup-simplify]: Simplify 0 into 0 0.129 * [taylor]: Taking taylor expansion of 0 in im 0.129 * [backup-simplify]: Simplify 0 into 0 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 (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.130 * [backup-simplify]: Simplify (+ 1 0) into 1 0.131 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.131 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.131 * [taylor]: Taking taylor expansion of 1/2 in im 0.131 * [backup-simplify]: Simplify 1/2 into 1/2 0.131 * [taylor]: Taking taylor expansion of im in im 0.131 * [backup-simplify]: Simplify 0 into 0 0.131 * [backup-simplify]: Simplify 1 into 1 0.131 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.132 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify 0 into 0 0.132 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.133 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.133 * [backup-simplify]: Simplify (+ 0 0) into 0 0.133 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.133 * [taylor]: Taking taylor expansion of 0 in im 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.134 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.134 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.134 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.134 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.134 * [taylor]: Taking taylor expansion of im in im 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [backup-simplify]: Simplify (* 1 1) into 1 0.135 * [backup-simplify]: Simplify (/ 1 1) into 1 0.135 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.135 * [taylor]: Taking taylor expansion of re in im 0.135 * [backup-simplify]: Simplify re into re 0.135 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.135 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.135 * [backup-simplify]: Simplify (+ 1 0) into 1 0.135 * [backup-simplify]: Simplify (sqrt 1) into 1 0.136 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.136 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.136 * [backup-simplify]: Simplify (+ 0 0) into 0 0.137 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.137 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.137 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.137 * [taylor]: Taking taylor expansion of im in re 0.137 * [backup-simplify]: Simplify im into im 0.137 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.137 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.137 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.137 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.137 * [taylor]: Taking taylor expansion of re in re 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.137 * [backup-simplify]: Simplify (* 1 1) into 1 0.137 * [backup-simplify]: Simplify (/ 1 1) into 1 0.138 * [backup-simplify]: Simplify (+ 0 1) into 1 0.138 * [backup-simplify]: Simplify (sqrt 1) into 1 0.138 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.139 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.139 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.139 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.139 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.139 * [taylor]: Taking taylor expansion of im in re 0.139 * [backup-simplify]: Simplify im into im 0.140 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.140 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.140 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.140 * [taylor]: Taking taylor expansion of re in re 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.140 * [backup-simplify]: Simplify (* 1 1) into 1 0.140 * [backup-simplify]: Simplify (/ 1 1) into 1 0.140 * [backup-simplify]: Simplify (+ 0 1) into 1 0.141 * [backup-simplify]: Simplify (sqrt 1) into 1 0.141 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.141 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.142 * [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 0.143 * [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 0.148 * [taylor]: Taking taylor expansion of 0 in im 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into 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 0.150 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.150 * [taylor]: Taking taylor expansion of re in im 0.150 * [backup-simplify]: Simplify re into re 0.150 * [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 0.155 * [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 0.160 * [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 0.161 * [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 0.162 * [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 / 3 ] generating series at (2 2 1 2) 0.163 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.163 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.163 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.163 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.163 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.163 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.163 * [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 0.164 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.164 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.164 * [taylor]: Taking taylor expansion of re in re 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.164 * [taylor]: Taking taylor expansion of im in re 0.164 * [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 0.167 * [backup-simplify]: Simplify (- 0) into 0 0.167 * [backup-simplify]: Simplify (+ im 0) into im 0.167 * [taylor]: Taking taylor expansion of im in im 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [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 0.168 * [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) 0.169 * [backup-simplify]: Simplify (- 0) into 0 0.169 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.169 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.169 * [taylor]: Taking taylor expansion of 1/2 in im 0.169 * [backup-simplify]: Simplify 1/2 into 1/2 0.169 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.169 * [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 0.170 * [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 0.172 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [taylor]: Taking taylor expansion of 0 in im 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify 0 into 0 0.173 * [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 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.174 * [taylor]: Taking taylor expansion of re in im 0.174 * [backup-simplify]: Simplify re into re 0.174 * [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 0.175 * [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 0.178 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.178 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.178 * [taylor]: Taking taylor expansion of re in re 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.179 * [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 0.179 * [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 0.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.181 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.181 * [taylor]: Taking taylor expansion of re in re 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [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 0.182 * [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 0.183 * [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)) 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.188 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.188 * [taylor]: Taking taylor expansion of 1/2 in im 0.188 * [backup-simplify]: Simplify 1/2 into 1/2 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.188 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.188 * [taylor]: Taking taylor expansion of im in im 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.189 * [backup-simplify]: Simplify (* 1 1) into 1 0.189 * [backup-simplify]: Simplify (/ 1 1) into 1 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.190 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify (+ 0 0) into 0 0.192 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (- 0) into 0 0.193 * [backup-simplify]: Simplify (+ 0 0) into 0 0.193 * [taylor]: Taking taylor expansion of 0 in im 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [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))))) 0.195 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.195 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.195 * [taylor]: Taking taylor expansion of re in im 0.195 * [backup-simplify]: Simplify re into re 0.195 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.195 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.195 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.195 * [taylor]: Taking taylor expansion of im in im 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.195 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.196 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.196 * [taylor]: Taking taylor expansion of re in im 0.196 * [backup-simplify]: Simplify re into re 0.196 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.196 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.196 * [backup-simplify]: Simplify (+ 1 0) into 1 0.196 * [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 0.197 * [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 0.198 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [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 0.199 * [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 0.200 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.200 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.200 * [taylor]: Taking taylor expansion of re in re 0.200 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.201 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.201 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.201 * [taylor]: Taking taylor expansion of im in re 0.201 * [backup-simplify]: Simplify im into im 0.201 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.201 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.201 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.201 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.201 * [taylor]: Taking taylor expansion of re in re 0.201 * [backup-simplify]: Simplify 0 into 0 0.201 * [backup-simplify]: Simplify 1 into 1 0.201 * [backup-simplify]: Simplify (* 1 1) into 1 0.201 * [backup-simplify]: Simplify (/ 1 1) into 1 0.202 * [backup-simplify]: Simplify (+ 0 1) into 1 0.202 * [backup-simplify]: Simplify (sqrt 1) into 1 0.202 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.203 * [backup-simplify]: Simplify (+ 0 0) into 0 0.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.204 * [backup-simplify]: Simplify (+ 1 1) into 2 0.204 * [taylor]: Taking taylor expansion of 2 in im 0.204 * [backup-simplify]: Simplify 2 into 2 0.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [taylor]: Taking taylor expansion of 0 in im 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 2 into 2 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.207 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.207 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.207 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.207 * [taylor]: Taking taylor expansion of 1/2 in im 0.207 * [backup-simplify]: Simplify 1/2 into 1/2 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.207 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (* 1 1) into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.209 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.209 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.211 * [taylor]: Taking taylor expansion of 0 in im 0.211 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.213 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.213 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) 0.213 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.213 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.213 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.213 * [taylor]: Taking taylor expansion of 2.0 in im 0.213 * [backup-simplify]: Simplify 2.0 into 2.0 0.214 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.214 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.214 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.214 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.214 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.214 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.214 * [taylor]: Taking taylor expansion of re in im 0.214 * [backup-simplify]: Simplify re into re 0.214 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.214 * [taylor]: Taking taylor expansion of im in im 0.214 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify 1 into 1 0.214 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.214 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.214 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.215 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.215 * [taylor]: Taking taylor expansion of re in im 0.215 * [backup-simplify]: Simplify re into re 0.215 * [backup-simplify]: Simplify (- re) into (- re) 0.215 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.215 * [backup-simplify]: Simplify (- 0) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.216 * [backup-simplify]: Simplify (* 1 1) into 1 0.216 * [backup-simplify]: Simplify (+ 0 1) into 1 0.217 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.217 * [backup-simplify]: Simplify (- 0) into 0 0.217 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.217 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.218 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.218 * [backup-simplify]: Simplify (+ 0 0) into 0 0.218 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.218 * [backup-simplify]: Simplify (- 0) into 0 0.219 * [backup-simplify]: Simplify (+ 0 0) into 0 0.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.219 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.219 * [taylor]: Taking taylor expansion of 2.0 in re 0.219 * [backup-simplify]: Simplify 2.0 into 2.0 0.219 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.219 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.219 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.220 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.220 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.220 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.220 * [taylor]: Taking taylor expansion of re in re 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.220 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.220 * [taylor]: Taking taylor expansion of im in re 0.220 * [backup-simplify]: Simplify im into im 0.220 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.220 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.220 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.220 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.220 * [taylor]: Taking taylor expansion of re in re 0.220 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify 1 into 1 0.221 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ im 0) into im 0.221 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.221 * [backup-simplify]: Simplify (- 1) into -1 0.221 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.221 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.221 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.221 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.221 * [taylor]: Taking taylor expansion of 2.0 in re 0.221 * [backup-simplify]: Simplify 2.0 into 2.0 0.221 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.222 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.222 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.222 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.222 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.222 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.222 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.222 * [taylor]: Taking taylor expansion of re in re 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify 1 into 1 0.222 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.222 * [taylor]: Taking taylor expansion of im in re 0.222 * [backup-simplify]: Simplify im into im 0.222 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.222 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.222 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.222 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.223 * [taylor]: Taking taylor expansion of re in re 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 1 into 1 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.223 * [backup-simplify]: Simplify (+ im 0) into im 0.223 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.223 * [backup-simplify]: Simplify (- 1) into -1 0.223 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.224 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.224 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.224 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.224 * [taylor]: Taking taylor expansion of 2.0 in im 0.224 * [backup-simplify]: Simplify 2.0 into 2.0 0.224 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.225 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.225 * [taylor]: Taking taylor expansion of im in im 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (sqrt 0) into 0 0.226 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.227 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.228 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.228 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.228 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.228 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.228 * [taylor]: Taking taylor expansion of 1/2 in im 0.228 * [backup-simplify]: Simplify 1/2 into 1/2 0.228 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.228 * [taylor]: Taking taylor expansion of 2.0 in im 0.228 * [backup-simplify]: Simplify 2.0 into 2.0 0.229 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.229 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.229 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.229 * [taylor]: Taking taylor expansion of im in im 0.229 * [backup-simplify]: Simplify 0 into 0 0.229 * [backup-simplify]: Simplify 1 into 1 0.229 * [backup-simplify]: Simplify (/ 1 1) into 1 0.229 * [backup-simplify]: Simplify (sqrt 0) into 0 0.230 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.231 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.233 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.234 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.235 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.236 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.238 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.240 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.240 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.242 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.243 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.244 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.245 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.248 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* im 1) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* im re)) (* (- (* +nan.0 (sqrt 2.0))) (* im 1)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0.248 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) 0.248 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in (re im) around 0 0.248 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.248 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.248 * [taylor]: Taking taylor expansion of 2.0 in im 0.248 * [backup-simplify]: Simplify 2.0 into 2.0 0.249 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.249 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.249 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.249 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.249 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.249 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.249 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.249 * [taylor]: Taking taylor expansion of im in im 0.249 * [backup-simplify]: Simplify 0 into 0 0.249 * [backup-simplify]: Simplify 1 into 1 0.249 * [backup-simplify]: Simplify (* 1 1) into 1 0.250 * [backup-simplify]: Simplify (/ 1 1) into 1 0.250 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.250 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.250 * [taylor]: Taking taylor expansion of re in im 0.250 * [backup-simplify]: Simplify re into re 0.250 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.250 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.250 * [backup-simplify]: Simplify (+ 1 0) into 1 0.250 * [backup-simplify]: Simplify (sqrt 1) into 1 0.251 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.251 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (+ 0 0) into 0 0.252 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.252 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.252 * [taylor]: Taking taylor expansion of re in im 0.252 * [backup-simplify]: Simplify re into re 0.252 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.252 * [backup-simplify]: Simplify (+ 1 0) into 1 0.252 * [backup-simplify]: Simplify (sqrt 0) into 0 0.253 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.253 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.253 * [taylor]: Taking taylor expansion of 2.0 in re 0.253 * [backup-simplify]: Simplify 2.0 into 2.0 0.253 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.254 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.254 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.254 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.254 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.254 * [taylor]: Taking taylor expansion of im in re 0.254 * [backup-simplify]: Simplify im into im 0.254 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.254 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.254 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.254 * [taylor]: Taking taylor expansion of re in re 0.254 * [backup-simplify]: Simplify 0 into 0 0.254 * [backup-simplify]: Simplify 1 into 1 0.254 * [backup-simplify]: Simplify (* 1 1) into 1 0.255 * [backup-simplify]: Simplify (/ 1 1) into 1 0.255 * [backup-simplify]: Simplify (+ 0 1) into 1 0.255 * [backup-simplify]: Simplify (sqrt 1) into 1 0.256 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.257 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.257 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.257 * [taylor]: Taking taylor expansion of re in re 0.257 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify 1 into 1 0.257 * [backup-simplify]: Simplify (/ 1 1) into 1 0.257 * [backup-simplify]: Simplify (- 1) into -1 0.257 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.258 * [backup-simplify]: Simplify (- 0) into 0 0.258 * [backup-simplify]: Simplify (+ 0 0) into 0 0.259 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.259 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.260 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (- 0) into 0 0.261 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.261 * [backup-simplify]: Simplify (sqrt 0) into 0 0.261 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.261 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.262 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.262 * [taylor]: Taking taylor expansion of 2.0 in re 0.262 * [backup-simplify]: Simplify 2.0 into 2.0 0.262 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.262 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.262 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.262 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.262 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.262 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.262 * [taylor]: Taking taylor expansion of im in re 0.262 * [backup-simplify]: Simplify im into im 0.262 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.263 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.263 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.263 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.263 * [taylor]: Taking taylor expansion of re in re 0.263 * [backup-simplify]: Simplify 0 into 0 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify (* 1 1) into 1 0.263 * [backup-simplify]: Simplify (/ 1 1) into 1 0.263 * [backup-simplify]: Simplify (+ 0 1) into 1 0.263 * [backup-simplify]: Simplify (sqrt 1) into 1 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.265 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.265 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.265 * [taylor]: Taking taylor expansion of re in re 0.265 * [backup-simplify]: Simplify 0 into 0 0.265 * [backup-simplify]: Simplify 1 into 1 0.265 * [backup-simplify]: Simplify (/ 1 1) into 1 0.265 * [backup-simplify]: Simplify (- 1) into -1 0.266 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.266 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.266 * [backup-simplify]: Simplify (- 0) into 0 0.267 * [backup-simplify]: Simplify (+ 0 0) into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.268 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.268 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (- 0) into 0 0.269 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.269 * [backup-simplify]: Simplify (sqrt 0) into 0 0.270 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.270 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.270 * [taylor]: Taking taylor expansion of 0 in im 0.270 * [backup-simplify]: Simplify 0 into 0 0.271 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.271 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.271 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.271 * [taylor]: Taking taylor expansion of +nan.0 in im 0.271 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.271 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.271 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.271 * [taylor]: Taking taylor expansion of 2.0 in im 0.271 * [backup-simplify]: Simplify 2.0 into 2.0 0.271 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.272 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.272 * [taylor]: Taking taylor expansion of im in im 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.272 * [backup-simplify]: Simplify (* 1 1) into 1 0.272 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.273 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.274 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ 0 0) into 0 0.276 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.276 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.278 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.281 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) 0.281 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.281 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.281 * [taylor]: Taking taylor expansion of +nan.0 in im 0.282 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.282 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.282 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.282 * [taylor]: Taking taylor expansion of 2.0 in im 0.282 * [backup-simplify]: Simplify 2.0 into 2.0 0.282 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.282 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.282 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.282 * [taylor]: Taking taylor expansion of im in im 0.282 * [backup-simplify]: Simplify 0 into 0 0.282 * [backup-simplify]: Simplify 1 into 1 0.283 * [backup-simplify]: Simplify (* 1 1) into 1 0.283 * [backup-simplify]: Simplify (* 1 1) into 1 0.283 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.284 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.285 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.287 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.290 * [backup-simplify]: Simplify (- 0) into 0 0.290 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.292 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify (- 0) into 0 0.296 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.297 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow im 4)))) (+ (* 2 (* (/ +nan.0 (pow im 2)) (/ +nan.0 (pow im 4)))))) (* 2 0)) into (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6)))))) 0.298 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.298 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* 1/8 (/ 1 (pow im 4))) (- (* +nan.0 (/ 1 (pow im 6))))))) (+ (* 0 (/ +nan.0 (pow im 4))) (+ (* 0 (/ +nan.0 (pow im 2))) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) 0.299 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.299 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.299 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.299 * [taylor]: Taking taylor expansion of +nan.0 in im 0.299 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.299 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.299 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.299 * [taylor]: Taking taylor expansion of 2.0 in im 0.299 * [backup-simplify]: Simplify 2.0 into 2.0 0.299 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.299 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.299 * [taylor]: Taking taylor expansion of im in im 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 1 into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (* 1 1) into 1 0.300 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.300 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.300 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.300 * [taylor]: Taking taylor expansion of +nan.0 in im 0.300 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.300 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.300 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.300 * [taylor]: Taking taylor expansion of 2.0 in im 0.300 * [backup-simplify]: Simplify 2.0 into 2.0 0.301 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.301 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.301 * [taylor]: Taking taylor expansion of im in im 0.301 * [backup-simplify]: Simplify 0 into 0 0.301 * [backup-simplify]: Simplify 1 into 1 0.301 * [backup-simplify]: Simplify (* 1 1) into 1 0.302 * [backup-simplify]: Simplify (* 1 1) into 1 0.302 * [backup-simplify]: Simplify (* 1 1) into 1 0.302 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.303 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.304 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.305 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.308 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.309 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.311 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.312 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.313 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.315 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.320 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.321 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.323 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify (+ 0 0) into 0 0.324 * [backup-simplify]: Simplify (- 0) into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify 0 into 0 0.324 * [backup-simplify]: Simplify (sqrt (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) 0.324 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in (re im) around 0 0.324 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.324 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.324 * [taylor]: Taking taylor expansion of 2.0 in im 0.324 * [backup-simplify]: Simplify 2.0 into 2.0 0.325 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.325 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.325 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.325 * [taylor]: Taking taylor expansion of re in im 0.325 * [backup-simplify]: Simplify re into re 0.325 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.325 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.325 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.325 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.325 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.325 * [taylor]: Taking taylor expansion of im in im 0.325 * [backup-simplify]: Simplify 0 into 0 0.325 * [backup-simplify]: Simplify 1 into 1 0.325 * [backup-simplify]: Simplify (* 1 1) into 1 0.326 * [backup-simplify]: Simplify (/ 1 1) into 1 0.326 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.326 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.326 * [taylor]: Taking taylor expansion of re in im 0.326 * [backup-simplify]: Simplify re into re 0.326 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.326 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.326 * [backup-simplify]: Simplify (+ 1 0) into 1 0.326 * [backup-simplify]: Simplify (sqrt 1) into 1 0.327 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.327 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.328 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.328 * [backup-simplify]: Simplify (+ 0 1) into 1 0.328 * [backup-simplify]: Simplify (sqrt 0) into 0 0.329 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.329 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.329 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.329 * [taylor]: Taking taylor expansion of 2.0 in re 0.329 * [backup-simplify]: Simplify 2.0 into 2.0 0.329 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.330 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.330 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.330 * [taylor]: Taking taylor expansion of re in re 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.330 * [backup-simplify]: Simplify (/ 1 1) into 1 0.330 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.330 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.330 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.330 * [taylor]: Taking taylor expansion of im in re 0.330 * [backup-simplify]: Simplify im into im 0.330 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.330 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.330 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.330 * [taylor]: Taking taylor expansion of re in re 0.330 * [backup-simplify]: Simplify 0 into 0 0.330 * [backup-simplify]: Simplify 1 into 1 0.331 * [backup-simplify]: Simplify (* 1 1) into 1 0.331 * [backup-simplify]: Simplify (/ 1 1) into 1 0.331 * [backup-simplify]: Simplify (+ 0 1) into 1 0.331 * [backup-simplify]: Simplify (sqrt 1) into 1 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 0) into 0 0.333 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.333 * [backup-simplify]: Simplify (+ 1 1) into 2 0.333 * [backup-simplify]: Simplify (sqrt 0) into 0 0.334 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.334 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.334 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.334 * [taylor]: Taking taylor expansion of 2.0 in re 0.334 * [backup-simplify]: Simplify 2.0 into 2.0 0.334 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.335 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.335 * [taylor]: Taking taylor expansion of re in re 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.335 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.335 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.335 * [taylor]: Taking taylor expansion of im in re 0.335 * [backup-simplify]: Simplify im into im 0.335 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.335 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.335 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.335 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.335 * [taylor]: Taking taylor expansion of re in re 0.335 * [backup-simplify]: Simplify 0 into 0 0.335 * [backup-simplify]: Simplify 1 into 1 0.335 * [backup-simplify]: Simplify (* 1 1) into 1 0.336 * [backup-simplify]: Simplify (/ 1 1) into 1 0.336 * [backup-simplify]: Simplify (+ 0 1) into 1 0.336 * [backup-simplify]: Simplify (sqrt 1) into 1 0.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.337 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ 0 0) into 0 0.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.338 * [backup-simplify]: Simplify (+ 1 1) into 2 0.338 * [backup-simplify]: Simplify (sqrt 0) into 0 0.339 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.339 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.339 * [taylor]: Taking taylor expansion of 0 in im 0.339 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.340 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.340 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.340 * [taylor]: Taking taylor expansion of +nan.0 in im 0.340 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.340 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.340 * [taylor]: Taking taylor expansion of 2.0 in im 0.340 * [backup-simplify]: Simplify 2.0 into 2.0 0.340 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.341 * [backup-simplify]: Simplify 0 into 0 0.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.342 * [backup-simplify]: Simplify (+ 0 0) into 0 0.343 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.344 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.345 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.345 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.345 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.346 * [taylor]: Taking taylor expansion of +nan.0 in im 0.346 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.346 * [taylor]: Taking taylor expansion of 2.0 in im 0.346 * [backup-simplify]: Simplify 2.0 into 2.0 0.346 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.347 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.348 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.349 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.349 * [backup-simplify]: Simplify 0 into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.350 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.350 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.351 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.351 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.352 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow im 2))) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)) 0.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.354 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.354 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.354 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.354 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.354 * [taylor]: Taking taylor expansion of +nan.0 in im 0.354 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.354 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.354 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.354 * [taylor]: Taking taylor expansion of 2.0 in im 0.354 * [backup-simplify]: Simplify 2.0 into 2.0 0.354 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.355 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.355 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.355 * [taylor]: Taking taylor expansion of im in im 0.355 * [backup-simplify]: Simplify 0 into 0 0.355 * [backup-simplify]: Simplify 1 into 1 0.355 * [backup-simplify]: Simplify (* 1 1) into 1 0.355 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.355 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.355 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.355 * [taylor]: Taking taylor expansion of +nan.0 in im 0.355 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.355 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.355 * [taylor]: Taking taylor expansion of 2.0 in im 0.355 * [backup-simplify]: Simplify 2.0 into 2.0 0.356 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.357 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.357 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.358 * [backup-simplify]: Simplify (- 0) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.359 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.360 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.361 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.361 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.362 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.362 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.363 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.363 * [backup-simplify]: Simplify (+ 0 0) into 0 0.364 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+ (* 2 (* +nan.0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0)))))) (* 2 0)) into (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0))) 0.365 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.366 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (* +nan.0 (/ 1 (pow im 2))) (- +nan.0)))) (+ (* 0 (* +nan.0 (- (* 1/2 (/ 1 (pow im 2))) +nan.0))) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) 0.366 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.366 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.366 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.366 * [taylor]: Taking taylor expansion of +nan.0 in im 0.366 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.366 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.366 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.366 * [taylor]: Taking taylor expansion of 2.0 in im 0.366 * [backup-simplify]: Simplify 2.0 into 2.0 0.367 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.370 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.370 * [taylor]: Taking taylor expansion of im in im 0.370 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify 1 into 1 0.370 * [backup-simplify]: Simplify (* 1 1) into 1 0.371 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.371 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.371 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.371 * [taylor]: Taking taylor expansion of +nan.0 in im 0.371 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.371 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.371 * [taylor]: Taking taylor expansion of 2.0 in im 0.371 * [backup-simplify]: Simplify 2.0 into 2.0 0.371 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.372 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.373 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.373 * [backup-simplify]: Simplify (+ 0 0) into 0 0.373 * [backup-simplify]: Simplify (- 0) into 0 0.373 * [backup-simplify]: Simplify 0 into 0 0.374 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.374 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.375 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.376 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.376 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.377 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.378 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.379 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.380 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.383 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- re))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- re)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.383 * * * [progress]: simplifying candidates 0.384 * [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) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.384 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- h1) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- h1) (log (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt h2) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (* h2 (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) (- (+ (* h3 (* (sqrt h2) (pow h0 2))) (- (+ (* h3 (* (sqrt h2) h0)) (- (* h3 (* (sqrt h2) (* h0 h1)))))))) 0 (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h1 2))) (- (* h3 (/ (sqrt h2) h1))))))) 0.388 * * [simplify]: iteration 0 : 232 enodes (cost 382 ) 0.392 * * [simplify]: iteration 1 : 768 enodes (cost 356 ) 0.404 * * [simplify]: iteration 2 : 2506 enodes (cost 346 ) 0.455 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.458 * * * [progress]: adding candidates to table 0.589 * * [progress]: iteration 2 / 4 0.589 * * * [progress]: picking best candidate 0.600 * * * * [pick]: Picked # 0.600 * * * [progress]: localizing error 0.616 * * * [progress]: generating rewritten candidates 0.616 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 0.624 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.664 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.690 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 0.720 * * * [progress]: generating series expansions 0.720 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 0.720 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.720 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.720 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.720 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.720 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.720 * [taylor]: Taking taylor expansion of re in im 0.720 * [backup-simplify]: Simplify re into re 0.720 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.720 * [taylor]: Taking taylor expansion of im in im 0.720 * [backup-simplify]: Simplify 0 into 0 0.720 * [backup-simplify]: Simplify 1 into 1 0.720 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.720 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.721 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.721 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.721 * [backup-simplify]: Simplify (+ 0 0) into 0 0.721 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.721 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.721 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.721 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.721 * [taylor]: Taking taylor expansion of re in re 0.721 * [backup-simplify]: Simplify 0 into 0 0.721 * [backup-simplify]: Simplify 1 into 1 0.721 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.721 * [taylor]: Taking taylor expansion of im in re 0.721 * [backup-simplify]: Simplify im into im 0.721 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.722 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.722 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.722 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.722 * [backup-simplify]: Simplify (+ 0 0) into 0 0.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.722 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.722 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.722 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.722 * [taylor]: Taking taylor expansion of re in re 0.722 * [backup-simplify]: Simplify 0 into 0 0.722 * [backup-simplify]: Simplify 1 into 1 0.722 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.722 * [taylor]: Taking taylor expansion of im in re 0.722 * [backup-simplify]: Simplify im into im 0.722 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.722 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.723 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.723 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.723 * [backup-simplify]: Simplify (+ 0 0) into 0 0.723 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.723 * [taylor]: Taking taylor expansion of im in im 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [taylor]: Taking taylor expansion of 0 in im 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 0 into 0 0.723 * [backup-simplify]: Simplify 1 into 1 0.723 * [backup-simplify]: Simplify (* 1 1) into 1 0.724 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.724 * [backup-simplify]: Simplify (+ 1 0) into 1 0.724 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.725 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.725 * [taylor]: Taking taylor expansion of 1/2 in im 0.725 * [backup-simplify]: Simplify 1/2 into 1/2 0.725 * [taylor]: Taking taylor expansion of im in im 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 1 into 1 0.725 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.725 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.725 * [backup-simplify]: Simplify 0 into 0 0.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.726 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.726 * [backup-simplify]: Simplify (+ 0 0) into 0 0.727 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.727 * [taylor]: Taking taylor expansion of 0 in im 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify 0 into 0 0.727 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.727 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.727 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.727 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.727 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.728 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.728 * [taylor]: Taking taylor expansion of im in im 0.728 * [backup-simplify]: Simplify 0 into 0 0.728 * [backup-simplify]: Simplify 1 into 1 0.728 * [backup-simplify]: Simplify (* 1 1) into 1 0.728 * [backup-simplify]: Simplify (/ 1 1) into 1 0.728 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.728 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.728 * [taylor]: Taking taylor expansion of re in im 0.728 * [backup-simplify]: Simplify re into re 0.728 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.728 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.728 * [backup-simplify]: Simplify (+ 1 0) into 1 0.729 * [backup-simplify]: Simplify (sqrt 1) into 1 0.729 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.730 * [backup-simplify]: Simplify (+ 0 0) into 0 0.730 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.730 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.730 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.730 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.730 * [taylor]: Taking taylor expansion of im in re 0.730 * [backup-simplify]: Simplify im into im 0.730 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.730 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.730 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.730 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.730 * [taylor]: Taking taylor expansion of re in re 0.730 * [backup-simplify]: Simplify 0 into 0 0.730 * [backup-simplify]: Simplify 1 into 1 0.731 * [backup-simplify]: Simplify (* 1 1) into 1 0.731 * [backup-simplify]: Simplify (/ 1 1) into 1 0.731 * [backup-simplify]: Simplify (+ 0 1) into 1 0.731 * [backup-simplify]: Simplify (sqrt 1) into 1 0.732 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.732 * [backup-simplify]: Simplify (+ 0 0) into 0 0.733 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.733 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.733 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.733 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.733 * [taylor]: Taking taylor expansion of im in re 0.733 * [backup-simplify]: Simplify im into im 0.733 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.733 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.733 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.733 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.733 * [taylor]: Taking taylor expansion of re in re 0.733 * [backup-simplify]: Simplify 0 into 0 0.733 * [backup-simplify]: Simplify 1 into 1 0.733 * [backup-simplify]: Simplify (* 1 1) into 1 0.734 * [backup-simplify]: Simplify (/ 1 1) into 1 0.734 * [backup-simplify]: Simplify (+ 0 1) into 1 0.734 * [backup-simplify]: Simplify (sqrt 1) into 1 0.734 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.735 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.735 * [backup-simplify]: Simplify (+ 0 0) into 0 0.735 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.735 * [taylor]: Taking taylor expansion of 1 in im 0.735 * [backup-simplify]: Simplify 1 into 1 0.735 * [taylor]: Taking taylor expansion of 0 in im 0.735 * [backup-simplify]: Simplify 0 into 0 0.736 * [backup-simplify]: Simplify 1 into 1 0.736 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.736 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.737 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.737 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.737 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.737 * [taylor]: Taking taylor expansion of 1/2 in im 0.737 * [backup-simplify]: Simplify 1/2 into 1/2 0.737 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.737 * [taylor]: Taking taylor expansion of im in im 0.738 * [backup-simplify]: Simplify 0 into 0 0.738 * [backup-simplify]: Simplify 1 into 1 0.738 * [backup-simplify]: Simplify (* 1 1) into 1 0.738 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.741 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.741 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify 0 into 0 0.741 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.742 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.743 * [backup-simplify]: Simplify (+ 0 0) into 0 0.743 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.743 * [taylor]: Taking taylor expansion of 0 in im 0.743 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.744 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.744 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.745 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.745 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.745 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.745 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.745 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.745 * [taylor]: Taking taylor expansion of im in im 0.745 * [backup-simplify]: Simplify 0 into 0 0.745 * [backup-simplify]: Simplify 1 into 1 0.745 * [backup-simplify]: Simplify (* 1 1) into 1 0.745 * [backup-simplify]: Simplify (/ 1 1) into 1 0.745 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.745 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.745 * [taylor]: Taking taylor expansion of re in im 0.745 * [backup-simplify]: Simplify re into re 0.746 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.746 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.746 * [backup-simplify]: Simplify (+ 1 0) into 1 0.746 * [backup-simplify]: Simplify (sqrt 1) into 1 0.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.747 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.747 * [backup-simplify]: Simplify (+ 0 0) into 0 0.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.748 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.748 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.748 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.748 * [taylor]: Taking taylor expansion of im in re 0.748 * [backup-simplify]: Simplify im into im 0.748 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.748 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.748 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.748 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.748 * [taylor]: Taking taylor expansion of re in re 0.748 * [backup-simplify]: Simplify 0 into 0 0.748 * [backup-simplify]: Simplify 1 into 1 0.748 * [backup-simplify]: Simplify (* 1 1) into 1 0.748 * [backup-simplify]: Simplify (/ 1 1) into 1 0.749 * [backup-simplify]: Simplify (+ 0 1) into 1 0.749 * [backup-simplify]: Simplify (sqrt 1) into 1 0.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.750 * [backup-simplify]: Simplify (+ 0 0) into 0 0.750 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.750 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.750 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.750 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.750 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.750 * [taylor]: Taking taylor expansion of im in re 0.750 * [backup-simplify]: Simplify im into im 0.750 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.750 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.751 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.751 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.751 * [taylor]: Taking taylor expansion of re in re 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (* 1 1) into 1 0.751 * [backup-simplify]: Simplify (/ 1 1) into 1 0.751 * [backup-simplify]: Simplify (+ 0 1) into 1 0.751 * [backup-simplify]: Simplify (sqrt 1) into 1 0.752 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.752 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.753 * [taylor]: Taking taylor expansion of 1 in im 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [taylor]: Taking taylor expansion of 0 in im 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.754 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.754 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.754 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.755 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.755 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.755 * [taylor]: Taking taylor expansion of 1/2 in im 0.755 * [backup-simplify]: Simplify 1/2 into 1/2 0.755 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.755 * [taylor]: Taking taylor expansion of im in im 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify (* 1 1) into 1 0.756 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.757 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.758 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.758 * [backup-simplify]: Simplify (+ 0 0) into 0 0.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.759 * [taylor]: Taking taylor expansion of 0 in im 0.759 * [backup-simplify]: Simplify 0 into 0 0.759 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.760 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.760 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.760 * [backup-simplify]: Simplify (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) into (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) 0.760 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 0.760 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.760 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.760 * [taylor]: Taking taylor expansion of im in re 0.760 * [backup-simplify]: Simplify im into im 0.760 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.760 * [taylor]: Taking taylor expansion of re in re 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.760 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.760 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.760 * [taylor]: Taking taylor expansion of re in re 0.760 * [backup-simplify]: Simplify 0 into 0 0.760 * [backup-simplify]: Simplify 1 into 1 0.760 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.760 * [taylor]: Taking taylor expansion of im in re 0.760 * [backup-simplify]: Simplify im into im 0.760 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.761 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.761 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.761 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.761 * [backup-simplify]: Simplify (+ 0 0) into 0 0.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.761 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.761 * [backup-simplify]: Simplify (+ 0 im) into im 0.761 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 0.761 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.761 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.761 * [taylor]: Taking taylor expansion of im in im 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.761 * [taylor]: Taking taylor expansion of re in im 0.761 * [backup-simplify]: Simplify re into re 0.761 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.761 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.761 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.761 * [taylor]: Taking taylor expansion of re in im 0.761 * [backup-simplify]: Simplify re into re 0.761 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.761 * [taylor]: Taking taylor expansion of im in im 0.762 * [backup-simplify]: Simplify 0 into 0 0.762 * [backup-simplify]: Simplify 1 into 1 0.762 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.762 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.762 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.762 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.762 * [backup-simplify]: Simplify (+ 0 0) into 0 0.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.762 * [backup-simplify]: Simplify (* 1 1) into 1 0.762 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.762 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 0.762 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.762 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.762 * [taylor]: Taking taylor expansion of im in im 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.763 * [taylor]: Taking taylor expansion of re in im 0.763 * [backup-simplify]: Simplify re into re 0.763 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.763 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.763 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.763 * [taylor]: Taking taylor expansion of re in im 0.763 * [backup-simplify]: Simplify re into re 0.763 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.763 * [taylor]: Taking taylor expansion of im in im 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.763 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.763 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.763 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.763 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.764 * [backup-simplify]: Simplify (* 1 1) into 1 0.764 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.764 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 0.764 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 0.764 * [taylor]: Taking taylor expansion of 1/2 in re 0.764 * [backup-simplify]: Simplify 1/2 into 1/2 0.764 * [taylor]: Taking taylor expansion of re in re 0.764 * [backup-simplify]: Simplify 0 into 0 0.764 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.764 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.764 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.765 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 0.765 * [taylor]: Taking taylor expansion of 0 in re 0.765 * [backup-simplify]: Simplify 0 into 0 0.765 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.767 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.767 * [backup-simplify]: Simplify (* 1 1) into 1 0.767 * [backup-simplify]: Simplify (+ 0 1) into 1 0.767 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.767 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 0.768 * [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)))) 0.768 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 0.768 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 0.768 * [taylor]: Taking taylor expansion of 1/8 in re 0.768 * [backup-simplify]: Simplify 1/8 into 1/8 0.768 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 0.768 * [taylor]: Taking taylor expansion of (pow re 3) in re 0.768 * [taylor]: Taking taylor expansion of re in re 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (* 1 1) into 1 0.768 * [backup-simplify]: Simplify (* 1 1) into 1 0.769 * [backup-simplify]: Simplify (/ 1 1) into 1 0.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.772 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.774 * [backup-simplify]: Simplify (- 0) into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.774 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify (/ (pow (/ 1 im) 2) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) 0.775 * [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 0.775 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 0.775 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.775 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.775 * [taylor]: Taking taylor expansion of re in re 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.775 * [backup-simplify]: Simplify (/ 1 1) into 1 0.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.775 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.775 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.775 * [taylor]: Taking taylor expansion of im in re 0.775 * [backup-simplify]: Simplify im into im 0.775 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.775 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.775 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.775 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.775 * [taylor]: Taking taylor expansion of re in re 0.775 * [backup-simplify]: Simplify 0 into 0 0.775 * [backup-simplify]: Simplify 1 into 1 0.776 * [backup-simplify]: Simplify (* 1 1) into 1 0.776 * [backup-simplify]: Simplify (/ 1 1) into 1 0.776 * [backup-simplify]: Simplify (+ 0 1) into 1 0.776 * [backup-simplify]: Simplify (sqrt 1) into 1 0.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.777 * [backup-simplify]: Simplify (+ 0 0) into 0 0.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.778 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.778 * [taylor]: Taking taylor expansion of im in re 0.778 * [backup-simplify]: Simplify im into im 0.778 * [backup-simplify]: Simplify (+ 1 1) into 2 0.778 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.778 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 0.778 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 0.778 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 0.778 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.778 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.778 * [taylor]: Taking taylor expansion of re in im 0.778 * [backup-simplify]: Simplify re into re 0.778 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.778 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.778 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.778 * [taylor]: Taking taylor expansion of im in im 0.778 * [backup-simplify]: Simplify 0 into 0 0.778 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (* 1 1) into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.779 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.779 * [taylor]: Taking taylor expansion of re in im 0.779 * [backup-simplify]: Simplify re into re 0.779 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.779 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.779 * [backup-simplify]: Simplify (+ 1 0) into 1 0.780 * [backup-simplify]: Simplify (sqrt 1) into 1 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.781 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.781 * [taylor]: Taking taylor expansion of im in im 0.781 * [backup-simplify]: Simplify 0 into 0 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [backup-simplify]: Simplify (+ 0 1) into 1 0.782 * [backup-simplify]: Simplify (* 1 1) into 1 0.782 * [backup-simplify]: Simplify (* 1 1) into 1 0.782 * [backup-simplify]: Simplify (/ 1 1) into 1 0.782 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 0.782 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.782 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.782 * [taylor]: Taking taylor expansion of re in im 0.782 * [backup-simplify]: Simplify re into re 0.782 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.782 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.782 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.782 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.782 * [taylor]: Taking taylor expansion of im in im 0.782 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.783 * [backup-simplify]: Simplify (* 1 1) into 1 0.783 * [backup-simplify]: Simplify (/ 1 1) into 1 0.783 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.783 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.783 * [taylor]: Taking taylor expansion of re in im 0.783 * [backup-simplify]: Simplify re into re 0.783 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.783 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.783 * [backup-simplify]: Simplify (+ 1 0) into 1 0.783 * [backup-simplify]: Simplify (sqrt 1) into 1 0.784 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.784 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.785 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.785 * [taylor]: Taking taylor expansion of im in im 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.785 * [backup-simplify]: Simplify (+ 0 1) into 1 0.785 * [backup-simplify]: Simplify (* 1 1) into 1 0.786 * [backup-simplify]: Simplify (* 1 1) into 1 0.786 * [backup-simplify]: Simplify (/ 1 1) into 1 0.786 * [taylor]: Taking taylor expansion of 1 in re 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.786 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 0.787 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 0.787 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 0.787 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.787 * [taylor]: Taking taylor expansion of re in re 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (/ 1 1) into 1 0.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.788 * [backup-simplify]: Simplify (- 0) into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.789 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.790 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.790 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 0.791 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 0.791 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 0.791 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 0.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 0.791 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.791 * [taylor]: Taking taylor expansion of 1/2 in re 0.791 * [backup-simplify]: Simplify 1/2 into 1/2 0.791 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.791 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.792 * [taylor]: Taking taylor expansion of re in re 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [backup-simplify]: Simplify (* 1 1) into 1 0.792 * [backup-simplify]: Simplify (/ 1 1) into 1 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.793 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.793 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.795 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.795 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.796 * [backup-simplify]: Simplify (- 0) into 0 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify (/ (pow (/ 1 (- im)) 2) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) 0.797 * [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 0.797 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 0.797 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 0.797 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.797 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.797 * [taylor]: Taking taylor expansion of im in re 0.797 * [backup-simplify]: Simplify im into im 0.797 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.797 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.797 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.797 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.797 * [taylor]: Taking taylor expansion of re in re 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 1 into 1 0.797 * [backup-simplify]: Simplify (* 1 1) into 1 0.797 * [backup-simplify]: Simplify (/ 1 1) into 1 0.798 * [backup-simplify]: Simplify (+ 0 1) into 1 0.798 * [backup-simplify]: Simplify (sqrt 1) into 1 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (+ 0 0) into 0 0.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.799 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.799 * [taylor]: Taking taylor expansion of re in re 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 1 into 1 0.800 * [backup-simplify]: Simplify (/ 1 1) into 1 0.800 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.800 * [taylor]: Taking taylor expansion of im in re 0.800 * [backup-simplify]: Simplify im into im 0.800 * [backup-simplify]: Simplify (- 1) into -1 0.800 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.800 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.800 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0 0.800 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify (- 0) into 0 0.801 * [backup-simplify]: Simplify (+ 0 0) into 0 0.801 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0 0.802 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.803 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify (- 0) into 0 0.804 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.805 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2 0.805 * [backup-simplify]: Simplify (/ 1 1/2) into 2 0.805 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 0.805 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 0.805 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.805 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.805 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.805 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.805 * [taylor]: Taking taylor expansion of im in im 0.805 * [backup-simplify]: Simplify 0 into 0 0.805 * [backup-simplify]: Simplify 1 into 1 0.806 * [backup-simplify]: Simplify (* 1 1) into 1 0.806 * [backup-simplify]: Simplify (/ 1 1) into 1 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.806 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.806 * [taylor]: Taking taylor expansion of re in im 0.806 * [backup-simplify]: Simplify re into re 0.806 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.806 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.806 * [backup-simplify]: Simplify (+ 1 0) into 1 0.806 * [backup-simplify]: Simplify (sqrt 1) into 1 0.807 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.808 * [backup-simplify]: Simplify (+ 0 0) into 0 0.808 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.808 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.808 * [taylor]: Taking taylor expansion of re in im 0.808 * [backup-simplify]: Simplify re into re 0.808 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.808 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.808 * [taylor]: Taking taylor expansion of im in im 0.808 * [backup-simplify]: Simplify 0 into 0 0.808 * [backup-simplify]: Simplify 1 into 1 0.808 * [backup-simplify]: Simplify (+ 1 0) into 1 0.809 * [backup-simplify]: Simplify (* 1 1) into 1 0.809 * [backup-simplify]: Simplify (* 1 1) into 1 0.809 * [backup-simplify]: Simplify (/ 1 1) into 1 0.809 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 0.809 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 0.809 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.809 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.809 * [taylor]: Taking taylor expansion of im in im 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify (* 1 1) into 1 0.810 * [backup-simplify]: Simplify (/ 1 1) into 1 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.810 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.810 * [taylor]: Taking taylor expansion of re in im 0.810 * [backup-simplify]: Simplify re into re 0.810 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.810 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.810 * [backup-simplify]: Simplify (+ 1 0) into 1 0.810 * [backup-simplify]: Simplify (sqrt 1) into 1 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.811 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.812 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.812 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.812 * [taylor]: Taking taylor expansion of re in im 0.812 * [backup-simplify]: Simplify re into re 0.812 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.812 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.812 * [taylor]: Taking taylor expansion of im in im 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [backup-simplify]: Simplify (+ 1 0) into 1 0.812 * [backup-simplify]: Simplify (* 1 1) into 1 0.813 * [backup-simplify]: Simplify (* 1 1) into 1 0.813 * [backup-simplify]: Simplify (/ 1 1) into 1 0.813 * [taylor]: Taking taylor expansion of 1 in re 0.813 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.813 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 0.813 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 0.814 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re)) 0.814 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 0.814 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.814 * [taylor]: Taking taylor expansion of re in re 0.814 * [backup-simplify]: Simplify 0 into 0 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [backup-simplify]: Simplify (/ 1 1) into 1 0.814 * [backup-simplify]: Simplify 1 into 1 0.814 * [backup-simplify]: Simplify 1 into 1 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.816 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 0.817 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 0.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.817 * [backup-simplify]: Simplify (- 0) into 0 0.817 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 0.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 0.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 0.818 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 0.818 * [taylor]: Taking taylor expansion of 1/2 in re 0.818 * [backup-simplify]: Simplify 1/2 into 1/2 0.818 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.818 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.818 * [taylor]: Taking taylor expansion of re in re 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 1 into 1 0.818 * [backup-simplify]: Simplify (* 1 1) into 1 0.818 * [backup-simplify]: Simplify (/ 1 1) into 1 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.819 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.819 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.821 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.822 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 0.822 * [backup-simplify]: Simplify (+ 0 0) into 0 0.822 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 0.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 0.823 * [backup-simplify]: Simplify (- 0) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0 0.824 * [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 0.824 * [taylor]: Taking taylor expansion of 0 in re 0.824 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 0.826 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.827 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 0.827 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 0.827 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 0.827 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 0.827 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.827 * [taylor]: Taking taylor expansion of 2.0 in re 0.827 * [backup-simplify]: Simplify 2.0 into 2.0 0.827 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.827 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.827 * [taylor]: Taking taylor expansion of im in re 0.827 * [backup-simplify]: Simplify im into im 0.827 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 0.827 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 0.828 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.828 * [taylor]: Taking taylor expansion of re in re 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.828 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.828 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.828 * [taylor]: Taking taylor expansion of re in re 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.828 * [taylor]: Taking taylor expansion of im in re 0.828 * [backup-simplify]: Simplify im into im 0.828 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.828 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.828 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.828 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.828 * [backup-simplify]: Simplify (+ 0 0) into 0 0.828 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.828 * [backup-simplify]: Simplify (+ 0 im) into im 0.828 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 0.828 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 0.829 * [backup-simplify]: Simplify (+ 1 0) into 1 0.829 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 0.829 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 0.829 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 0.829 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 0.829 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.829 * [taylor]: Taking taylor expansion of 2.0 in im 0.829 * [backup-simplify]: Simplify 2.0 into 2.0 0.829 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.830 * [taylor]: Taking taylor expansion of im in im 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.830 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.830 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.830 * [taylor]: Taking taylor expansion of re in im 0.830 * [backup-simplify]: Simplify re into re 0.830 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.830 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.830 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.830 * [taylor]: Taking taylor expansion of re in im 0.830 * [backup-simplify]: Simplify re into re 0.830 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.830 * [taylor]: Taking taylor expansion of im in im 0.830 * [backup-simplify]: Simplify 0 into 0 0.830 * [backup-simplify]: Simplify 1 into 1 0.830 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.830 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.830 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.830 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.831 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.831 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 0.831 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 0.831 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 0.831 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 0.831 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 0.831 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.831 * [taylor]: Taking taylor expansion of 2.0 in im 0.831 * [backup-simplify]: Simplify 2.0 into 2.0 0.831 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.832 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.832 * [taylor]: Taking taylor expansion of im in im 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 0.832 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 0.832 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.832 * [taylor]: Taking taylor expansion of re in im 0.832 * [backup-simplify]: Simplify re into re 0.832 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.832 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.832 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.832 * [taylor]: Taking taylor expansion of re in im 0.832 * [backup-simplify]: Simplify re into re 0.832 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.832 * [taylor]: Taking taylor expansion of im in im 0.832 * [backup-simplify]: Simplify 0 into 0 0.832 * [backup-simplify]: Simplify 1 into 1 0.832 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.832 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.832 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.832 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.833 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 0.833 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 0.833 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.833 * [backup-simplify]: Simplify (+ 0 0) into 0 0.833 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 0.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 0.834 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.837 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 0.837 * [taylor]: Taking taylor expansion of 0 in re 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 0.839 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 0.839 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 0.839 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 0.839 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.839 * [taylor]: Taking taylor expansion of 2.0 in re 0.839 * [backup-simplify]: Simplify 2.0 into 2.0 0.839 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.840 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 0.840 * [taylor]: Taking taylor expansion of 1/2 in re 0.840 * [backup-simplify]: Simplify 1/2 into 1/2 0.840 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.840 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 0.840 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 0.840 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.840 * [taylor]: Taking taylor expansion of re in re 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.841 * [backup-simplify]: Simplify (/ 1 1) into 1 0.841 * [backup-simplify]: Simplify (sqrt 0) into 0 0.842 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.842 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 0.843 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 0.845 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 0.847 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.847 * [backup-simplify]: Simplify (* 1 1) into 1 0.848 * [backup-simplify]: Simplify (+ 0 1) into 1 0.848 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.848 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 0.848 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 0.849 * [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)))) 0.850 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.850 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 0.852 * [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 0.852 * [taylor]: Taking taylor expansion of 0 in re 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.854 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.854 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 0.855 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.856 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 0.858 * [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)))) 0.860 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.861 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.861 * [backup-simplify]: Simplify (+ 0 0) into 0 0.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.861 * [backup-simplify]: Simplify (+ 0 0) into 0 0.862 * [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 0.863 * [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 0.863 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.864 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 0.866 * [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)))))) 0.866 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 0.866 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 0.866 * [taylor]: Taking taylor expansion of 1/16 in re 0.866 * [backup-simplify]: Simplify 1/16 into 1/16 0.866 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 0.866 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 0.866 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.866 * [taylor]: Taking taylor expansion of 2.0 in re 0.866 * [backup-simplify]: Simplify 2.0 into 2.0 0.866 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.866 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 0.866 * [taylor]: Taking taylor expansion of 1/2 in re 0.866 * [backup-simplify]: Simplify 1/2 into 1/2 0.867 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 0.867 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 0.868 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 0.868 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 0.868 * [taylor]: Taking taylor expansion of (pow re 5) in re 0.868 * [taylor]: Taking taylor expansion of re in re 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.868 * [backup-simplify]: Simplify (* 1 1) into 1 0.868 * [backup-simplify]: Simplify (* 1 1) into 1 0.869 * [backup-simplify]: Simplify (* 1 1) into 1 0.869 * [backup-simplify]: Simplify (/ 1 1) into 1 0.869 * [backup-simplify]: Simplify (sqrt 0) into 0 0.870 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.871 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.872 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.875 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.877 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 0.878 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 0.878 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.879 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 0.880 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 0.880 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.881 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 0.882 * [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 0.884 * [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)))) 0.887 * [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)))) 0.889 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 0.889 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 0.894 * [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)))) 0.896 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 0.898 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 0.904 * [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)))))))) 0.905 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow (/ 1 im) 2) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 0.905 * [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 0.905 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.905 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 0.905 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.905 * [taylor]: Taking taylor expansion of 2.0 in re 0.905 * [backup-simplify]: Simplify 2.0 into 2.0 0.905 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.905 * [taylor]: Taking taylor expansion of im in re 0.905 * [backup-simplify]: Simplify im into im 0.906 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 0.906 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.906 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.906 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.906 * [taylor]: Taking taylor expansion of re in re 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.906 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.906 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.906 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.906 * [taylor]: Taking taylor expansion of im in re 0.906 * [backup-simplify]: Simplify im into im 0.906 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.906 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.906 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.906 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.906 * [taylor]: Taking taylor expansion of re in re 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.907 * [backup-simplify]: Simplify (* 1 1) into 1 0.907 * [backup-simplify]: Simplify (/ 1 1) into 1 0.907 * [backup-simplify]: Simplify (+ 0 1) into 1 0.907 * [backup-simplify]: Simplify (sqrt 1) into 1 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.908 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ 0 0) into 0 0.909 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.909 * [backup-simplify]: Simplify (+ 1 1) into 2 0.909 * [backup-simplify]: Simplify (/ 1 2) into 1/2 0.910 * [backup-simplify]: Simplify (sqrt 0) into 0 0.910 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 0.910 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.910 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.910 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.910 * [taylor]: Taking taylor expansion of 2.0 in im 0.911 * [backup-simplify]: Simplify 2.0 into 2.0 0.911 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.911 * [taylor]: Taking taylor expansion of im in im 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.912 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.912 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.912 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.912 * [taylor]: Taking taylor expansion of re in im 0.912 * [backup-simplify]: Simplify re into re 0.912 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.912 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.912 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.912 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.912 * [taylor]: Taking taylor expansion of im in im 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify (* 1 1) into 1 0.912 * [backup-simplify]: Simplify (/ 1 1) into 1 0.912 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.912 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.913 * [taylor]: Taking taylor expansion of re in im 0.913 * [backup-simplify]: Simplify re into re 0.913 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.913 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.913 * [backup-simplify]: Simplify (+ 1 0) into 1 0.913 * [backup-simplify]: Simplify (sqrt 1) into 1 0.914 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.914 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.915 * [backup-simplify]: Simplify (+ 0 1) into 1 0.915 * [backup-simplify]: Simplify (/ 1 1) into 1 0.915 * [backup-simplify]: Simplify (sqrt 0) into 0 0.916 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.916 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.916 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.916 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.916 * [taylor]: Taking taylor expansion of 2.0 in im 0.916 * [backup-simplify]: Simplify 2.0 into 2.0 0.916 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.917 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.917 * [taylor]: Taking taylor expansion of im in im 0.917 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify 1 into 1 0.917 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.917 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.917 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.917 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.917 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.917 * [taylor]: Taking taylor expansion of re in im 0.917 * [backup-simplify]: Simplify re into re 0.917 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.917 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.917 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.917 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.917 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.917 * [taylor]: Taking taylor expansion of im in im 0.917 * [backup-simplify]: Simplify 0 into 0 0.918 * [backup-simplify]: Simplify 1 into 1 0.918 * [backup-simplify]: Simplify (* 1 1) into 1 0.918 * [backup-simplify]: Simplify (/ 1 1) into 1 0.918 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.918 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.918 * [taylor]: Taking taylor expansion of re in im 0.918 * [backup-simplify]: Simplify re into re 0.918 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.918 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.918 * [backup-simplify]: Simplify (+ 1 0) into 1 0.919 * [backup-simplify]: Simplify (sqrt 1) into 1 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.920 * [backup-simplify]: Simplify (+ 0 0) into 0 0.920 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.920 * [backup-simplify]: Simplify (+ 0 1) into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.921 * [backup-simplify]: Simplify (sqrt 0) into 0 0.921 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.922 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.922 * [taylor]: Taking taylor expansion of 0 in re 0.922 * [backup-simplify]: Simplify 0 into 0 0.922 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.926 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 0.926 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.927 * [taylor]: Taking taylor expansion of +nan.0 in re 0.927 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.927 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.927 * [taylor]: Taking taylor expansion of 2.0 in re 0.927 * [backup-simplify]: Simplify 2.0 into 2.0 0.927 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.927 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.928 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.929 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.929 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 0.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 0.930 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 0.931 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.932 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.933 * [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))))) 0.933 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.933 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.933 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.933 * [taylor]: Taking taylor expansion of +nan.0 in re 0.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.933 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.933 * [taylor]: Taking taylor expansion of 2.0 in re 0.933 * [backup-simplify]: Simplify 2.0 into 2.0 0.933 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.933 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.933 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.933 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.933 * [taylor]: Taking taylor expansion of +nan.0 in re 0.933 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.934 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.934 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.934 * [taylor]: Taking taylor expansion of 2.0 in re 0.934 * [backup-simplify]: Simplify 2.0 into 2.0 0.934 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.934 * [taylor]: Taking taylor expansion of re in re 0.934 * [backup-simplify]: Simplify 0 into 0 0.934 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.935 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.936 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.936 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.937 * [backup-simplify]: Simplify (- 0) into 0 0.937 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.939 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.939 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.940 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.940 * [backup-simplify]: Simplify (- 0) into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify 0 into 0 0.940 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.941 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 0.942 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 0.942 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 0.943 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 0.943 * [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)))) 0.944 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.945 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.946 * [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))))))) 0.946 * [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 0.946 * [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 0.946 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.946 * [taylor]: Taking taylor expansion of +nan.0 in re 0.946 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.946 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.946 * [taylor]: Taking taylor expansion of 2.0 in re 0.946 * [backup-simplify]: Simplify 2.0 into 2.0 0.946 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.947 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.947 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.947 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.947 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 0.947 * [taylor]: Taking taylor expansion of +nan.0 in re 0.947 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.947 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 0.947 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.947 * [taylor]: Taking taylor expansion of 2.0 in re 0.947 * [backup-simplify]: Simplify 2.0 into 2.0 0.947 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.948 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.948 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.948 * [taylor]: Taking taylor expansion of re in re 0.948 * [backup-simplify]: Simplify 0 into 0 0.948 * [backup-simplify]: Simplify 1 into 1 0.948 * [backup-simplify]: Simplify (* 1 1) into 1 0.948 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.948 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.948 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.948 * [taylor]: Taking taylor expansion of +nan.0 in re 0.948 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.948 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.948 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.948 * [taylor]: Taking taylor expansion of 2.0 in re 0.948 * [backup-simplify]: Simplify 2.0 into 2.0 0.949 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.949 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.949 * [taylor]: Taking taylor expansion of re in re 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 1 into 1 0.950 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.950 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.951 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.952 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.952 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.953 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.954 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.954 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.955 * [backup-simplify]: Simplify (- 0) into 0 0.955 * [backup-simplify]: Simplify (+ 0 0) into 0 0.955 * [backup-simplify]: Simplify (- 0) into 0 0.956 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 0.957 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.958 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.961 * [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))))))) 0.962 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (pow (/ 1 (- im)) 2) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 0.962 * [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 0.962 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 0.962 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 0.962 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.962 * [taylor]: Taking taylor expansion of 2.0 in re 0.962 * [backup-simplify]: Simplify 2.0 into 2.0 0.962 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.962 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.962 * [taylor]: Taking taylor expansion of im in re 0.962 * [backup-simplify]: Simplify im into im 0.963 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 0.963 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.963 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.963 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.963 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.963 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.963 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.963 * [taylor]: Taking taylor expansion of im in re 0.963 * [backup-simplify]: Simplify im into im 0.963 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.963 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.963 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.963 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.963 * [taylor]: Taking taylor expansion of re in re 0.963 * [backup-simplify]: Simplify 0 into 0 0.963 * [backup-simplify]: Simplify 1 into 1 0.963 * [backup-simplify]: Simplify (* 1 1) into 1 0.964 * [backup-simplify]: Simplify (/ 1 1) into 1 0.964 * [backup-simplify]: Simplify (+ 0 1) into 1 0.964 * [backup-simplify]: Simplify (sqrt 1) into 1 0.964 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.965 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.965 * [backup-simplify]: Simplify (+ 0 0) into 0 0.965 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.965 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.965 * [taylor]: Taking taylor expansion of re in re 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.966 * [backup-simplify]: Simplify (/ 1 1) into 1 0.966 * [backup-simplify]: Simplify (- 1) into -1 0.966 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.967 * [backup-simplify]: Simplify (- 0) into 0 0.967 * [backup-simplify]: Simplify (+ 0 0) into 0 0.967 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.968 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.968 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.969 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.969 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.970 * [backup-simplify]: Simplify (- 0) into 0 0.970 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.970 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 0.970 * [backup-simplify]: Simplify (sqrt 0) into 0 0.970 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 0.970 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 0.971 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.971 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.971 * [taylor]: Taking taylor expansion of 2.0 in im 0.971 * [backup-simplify]: Simplify 2.0 into 2.0 0.971 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.971 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.971 * [taylor]: Taking taylor expansion of im in im 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.972 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.972 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.972 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.972 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.972 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.972 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.972 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.972 * [taylor]: Taking taylor expansion of im in im 0.972 * [backup-simplify]: Simplify 0 into 0 0.972 * [backup-simplify]: Simplify 1 into 1 0.972 * [backup-simplify]: Simplify (* 1 1) into 1 0.972 * [backup-simplify]: Simplify (/ 1 1) into 1 0.972 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.972 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.972 * [taylor]: Taking taylor expansion of re in im 0.973 * [backup-simplify]: Simplify re into re 0.973 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.973 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.973 * [backup-simplify]: Simplify (+ 1 0) into 1 0.973 * [backup-simplify]: Simplify (sqrt 1) into 1 0.973 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.974 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.974 * [backup-simplify]: Simplify (+ 0 0) into 0 0.974 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.974 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.975 * [taylor]: Taking taylor expansion of re in im 0.975 * [backup-simplify]: Simplify re into re 0.975 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.975 * [backup-simplify]: Simplify (+ 1 0) into 1 0.975 * [backup-simplify]: Simplify (/ 1 1) into 1 0.975 * [backup-simplify]: Simplify (sqrt 0) into 0 0.976 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.976 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 0.976 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 0.976 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.976 * [taylor]: Taking taylor expansion of 2.0 in im 0.976 * [backup-simplify]: Simplify 2.0 into 2.0 0.976 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.977 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.977 * [taylor]: Taking taylor expansion of im in im 0.977 * [backup-simplify]: Simplify 0 into 0 0.977 * [backup-simplify]: Simplify 1 into 1 0.977 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.977 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.977 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.977 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.977 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.977 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.978 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.978 * [taylor]: Taking taylor expansion of im in im 0.978 * [backup-simplify]: Simplify 0 into 0 0.978 * [backup-simplify]: Simplify 1 into 1 0.978 * [backup-simplify]: Simplify (* 1 1) into 1 0.978 * [backup-simplify]: Simplify (/ 1 1) into 1 0.978 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.978 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.978 * [taylor]: Taking taylor expansion of re in im 0.978 * [backup-simplify]: Simplify re into re 0.978 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.978 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.979 * [backup-simplify]: Simplify (+ 1 0) into 1 0.979 * [backup-simplify]: Simplify (sqrt 1) into 1 0.979 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.979 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.980 * [backup-simplify]: Simplify (+ 0 0) into 0 0.980 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.980 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.980 * [taylor]: Taking taylor expansion of re in im 0.980 * [backup-simplify]: Simplify re into re 0.980 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.980 * [backup-simplify]: Simplify (+ 1 0) into 1 0.981 * [backup-simplify]: Simplify (/ 1 1) into 1 0.981 * [backup-simplify]: Simplify (sqrt 0) into 0 0.982 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.982 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.982 * [taylor]: Taking taylor expansion of 0 in re 0.982 * [backup-simplify]: Simplify 0 into 0 0.982 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.984 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.984 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 0.984 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.984 * [taylor]: Taking taylor expansion of +nan.0 in re 0.984 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.984 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.984 * [taylor]: Taking taylor expansion of 2.0 in re 0.984 * [backup-simplify]: Simplify 2.0 into 2.0 0.984 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.984 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.984 * [backup-simplify]: Simplify 0 into 0 0.985 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 0.985 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 0.985 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 0.985 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 0.986 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.987 * [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))))) 0.987 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 0.987 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 0.987 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 0.987 * [taylor]: Taking taylor expansion of +nan.0 in re 0.987 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.987 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.987 * [taylor]: Taking taylor expansion of 2.0 in re 0.987 * [backup-simplify]: Simplify 2.0 into 2.0 0.988 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.988 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 0.988 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 0.988 * [taylor]: Taking taylor expansion of +nan.0 in re 0.988 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.988 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 0.988 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.988 * [taylor]: Taking taylor expansion of 2.0 in re 0.988 * [backup-simplify]: Simplify 2.0 into 2.0 0.989 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.989 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.989 * [taylor]: Taking taylor expansion of re in re 0.989 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify 1 into 1 0.990 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.990 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.991 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.992 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.993 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.994 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.995 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.996 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.997 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.997 * [backup-simplify]: Simplify 0 into 0 0.997 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.998 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.998 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 0.998 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 0.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 0.999 * [backup-simplify]: Simplify (- 0) into 0 0.999 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 0.999 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.000 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 1.000 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.001 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.002 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 1.002 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.002 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.002 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.002 * [taylor]: Taking taylor expansion of +nan.0 in re 1.002 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.002 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.002 * [taylor]: Taking taylor expansion of 2.0 in re 1.002 * [backup-simplify]: Simplify 2.0 into 2.0 1.002 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.003 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.003 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.003 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.003 * [taylor]: Taking taylor expansion of +nan.0 in re 1.003 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.003 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.003 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.003 * [taylor]: Taking taylor expansion of 2.0 in re 1.003 * [backup-simplify]: Simplify 2.0 into 2.0 1.003 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.004 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.004 * [taylor]: Taking taylor expansion of re in re 1.004 * [backup-simplify]: Simplify 0 into 0 1.004 * [backup-simplify]: Simplify 1 into 1 1.004 * [backup-simplify]: Simplify (* 1 1) into 1 1.005 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.005 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.005 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.005 * [taylor]: Taking taylor expansion of +nan.0 in re 1.005 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.005 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.005 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.005 * [taylor]: Taking taylor expansion of 2.0 in re 1.005 * [backup-simplify]: Simplify 2.0 into 2.0 1.005 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.005 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.005 * [taylor]: Taking taylor expansion of re in re 1.005 * [backup-simplify]: Simplify 0 into 0 1.005 * [backup-simplify]: Simplify 1 into 1 1.006 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.006 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.007 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.008 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.009 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.010 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.011 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.013 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.017 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.018 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.021 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 1.021 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 1.021 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1.021 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.021 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.021 * [taylor]: Taking taylor expansion of re in im 1.021 * [backup-simplify]: Simplify re into re 1.021 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.021 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.021 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.021 * [taylor]: Taking taylor expansion of re in im 1.021 * [backup-simplify]: Simplify re into re 1.021 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.021 * [taylor]: Taking taylor expansion of im in im 1.021 * [backup-simplify]: Simplify 0 into 0 1.021 * [backup-simplify]: Simplify 1 into 1 1.021 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.021 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.021 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.021 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.022 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.022 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.022 * [taylor]: Taking taylor expansion of re in re 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 1 into 1 1.022 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.022 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.022 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.022 * [taylor]: Taking taylor expansion of re in re 1.022 * [backup-simplify]: Simplify 0 into 0 1.022 * [backup-simplify]: Simplify 1 into 1 1.022 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.022 * [taylor]: Taking taylor expansion of im in re 1.022 * [backup-simplify]: Simplify im into im 1.022 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.022 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.022 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.022 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.022 * [backup-simplify]: Simplify (+ 0 0) into 0 1.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.023 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.023 * [taylor]: Taking taylor expansion of re in re 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.023 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.023 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.023 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.023 * [taylor]: Taking taylor expansion of re in re 1.023 * [backup-simplify]: Simplify 0 into 0 1.023 * [backup-simplify]: Simplify 1 into 1 1.023 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.023 * [taylor]: Taking taylor expansion of im in re 1.023 * [backup-simplify]: Simplify im into im 1.023 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.023 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.023 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.023 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.023 * [backup-simplify]: Simplify (+ 0 0) into 0 1.024 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.024 * [backup-simplify]: Simplify (+ 0 im) into im 1.024 * [taylor]: Taking taylor expansion of im in im 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify 1 into 1 1.024 * [backup-simplify]: Simplify 0 into 0 1.024 * [backup-simplify]: Simplify (+ 1 0) into 1 1.024 * [taylor]: Taking taylor expansion of 1 in im 1.024 * [backup-simplify]: Simplify 1 into 1 1.024 * [backup-simplify]: Simplify 1 into 1 1.024 * [backup-simplify]: Simplify 1 into 1 1.024 * [backup-simplify]: Simplify (* 1 1) into 1 1.025 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.025 * [backup-simplify]: Simplify (+ 1 0) into 1 1.025 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.025 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.025 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.025 * [taylor]: Taking taylor expansion of 1/2 in im 1.025 * [backup-simplify]: Simplify 1/2 into 1/2 1.025 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.025 * [taylor]: Taking taylor expansion of im in im 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 1 into 1 1.026 * [backup-simplify]: Simplify (/ 1 1) into 1 1.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.026 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.026 * [backup-simplify]: Simplify 0 into 0 1.027 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.027 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.027 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.028 * [backup-simplify]: Simplify (+ 0 0) into 0 1.028 * [taylor]: Taking taylor expansion of 0 in im 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify 0 into 0 1.028 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.029 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify 0 into 0 1.029 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.029 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1.029 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.029 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.029 * [taylor]: Taking taylor expansion of re in im 1.029 * [backup-simplify]: Simplify re into re 1.029 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.029 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.029 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.029 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.029 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.029 * [taylor]: Taking taylor expansion of im in im 1.029 * [backup-simplify]: Simplify 0 into 0 1.030 * [backup-simplify]: Simplify 1 into 1 1.030 * [backup-simplify]: Simplify (* 1 1) into 1 1.030 * [backup-simplify]: Simplify (/ 1 1) into 1 1.030 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.030 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.030 * [taylor]: Taking taylor expansion of re in im 1.030 * [backup-simplify]: Simplify re into re 1.030 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.030 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.030 * [backup-simplify]: Simplify (+ 1 0) into 1 1.031 * [backup-simplify]: Simplify (sqrt 1) into 1 1.031 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.031 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.032 * [backup-simplify]: Simplify (+ 0 0) into 0 1.032 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.032 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.032 * [taylor]: Taking taylor expansion of re in re 1.032 * [backup-simplify]: Simplify 0 into 0 1.032 * [backup-simplify]: Simplify 1 into 1 1.032 * [backup-simplify]: Simplify (/ 1 1) into 1 1.032 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.032 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.032 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.032 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.032 * [taylor]: Taking taylor expansion of im in re 1.032 * [backup-simplify]: Simplify im into im 1.033 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.033 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.033 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.033 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.033 * [taylor]: Taking taylor expansion of re in re 1.033 * [backup-simplify]: Simplify 0 into 0 1.033 * [backup-simplify]: Simplify 1 into 1 1.033 * [backup-simplify]: Simplify (* 1 1) into 1 1.033 * [backup-simplify]: Simplify (/ 1 1) into 1 1.033 * [backup-simplify]: Simplify (+ 0 1) into 1 1.034 * [backup-simplify]: Simplify (sqrt 1) into 1 1.034 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.034 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.035 * [backup-simplify]: Simplify (+ 0 0) into 0 1.035 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.035 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.035 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.035 * [taylor]: Taking taylor expansion of re in re 1.035 * [backup-simplify]: Simplify 0 into 0 1.035 * [backup-simplify]: Simplify 1 into 1 1.035 * [backup-simplify]: Simplify (/ 1 1) into 1 1.035 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.035 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.035 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.035 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.035 * [taylor]: Taking taylor expansion of im in re 1.035 * [backup-simplify]: Simplify im into im 1.035 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.036 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.036 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.036 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.036 * [taylor]: Taking taylor expansion of re in re 1.036 * [backup-simplify]: Simplify 0 into 0 1.036 * [backup-simplify]: Simplify 1 into 1 1.036 * [backup-simplify]: Simplify (* 1 1) into 1 1.036 * [backup-simplify]: Simplify (/ 1 1) into 1 1.036 * [backup-simplify]: Simplify (+ 0 1) into 1 1.037 * [backup-simplify]: Simplify (sqrt 1) into 1 1.037 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.037 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.038 * [backup-simplify]: Simplify (+ 0 0) into 0 1.038 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.038 * [backup-simplify]: Simplify (+ 1 1) into 2 1.038 * [taylor]: Taking taylor expansion of 2 in im 1.038 * [backup-simplify]: Simplify 2 into 2 1.039 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.039 * [backup-simplify]: Simplify (+ 0 0) into 0 1.039 * [taylor]: Taking taylor expansion of 0 in im 1.039 * [backup-simplify]: Simplify 0 into 0 1.039 * [backup-simplify]: Simplify 2 into 2 1.040 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.040 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.041 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.041 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.041 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.042 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.042 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.042 * [taylor]: Taking taylor expansion of 1/2 in im 1.042 * [backup-simplify]: Simplify 1/2 into 1/2 1.042 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.042 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.042 * [taylor]: Taking taylor expansion of im in im 1.042 * [backup-simplify]: Simplify 0 into 0 1.042 * [backup-simplify]: Simplify 1 into 1 1.042 * [backup-simplify]: Simplify (* 1 1) into 1 1.042 * [backup-simplify]: Simplify (/ 1 1) into 1 1.043 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.043 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.043 * [backup-simplify]: Simplify 0 into 0 1.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.044 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.044 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.045 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.046 * [backup-simplify]: Simplify (+ 0 0) into 0 1.046 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.046 * [backup-simplify]: Simplify (+ 0 0) into 0 1.046 * [taylor]: Taking taylor expansion of 0 in im 1.046 * [backup-simplify]: Simplify 0 into 0 1.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.048 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.048 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1.048 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.048 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.048 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.048 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.048 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.048 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.048 * [taylor]: Taking taylor expansion of im in im 1.048 * [backup-simplify]: Simplify 0 into 0 1.048 * [backup-simplify]: Simplify 1 into 1 1.049 * [backup-simplify]: Simplify (* 1 1) into 1 1.049 * [backup-simplify]: Simplify (/ 1 1) into 1 1.049 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.049 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.049 * [taylor]: Taking taylor expansion of re in im 1.049 * [backup-simplify]: Simplify re into re 1.049 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.049 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.049 * [backup-simplify]: Simplify (+ 1 0) into 1 1.049 * [backup-simplify]: Simplify (sqrt 1) into 1 1.050 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.050 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.050 * [backup-simplify]: Simplify (+ 0 0) into 0 1.051 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.051 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.051 * [taylor]: Taking taylor expansion of re in im 1.051 * [backup-simplify]: Simplify re into re 1.051 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.051 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.051 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.051 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.051 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.051 * [taylor]: Taking taylor expansion of im in re 1.051 * [backup-simplify]: Simplify im into im 1.051 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.051 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.051 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.051 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.051 * [taylor]: Taking taylor expansion of re in re 1.051 * [backup-simplify]: Simplify 0 into 0 1.051 * [backup-simplify]: Simplify 1 into 1 1.052 * [backup-simplify]: Simplify (* 1 1) into 1 1.052 * [backup-simplify]: Simplify (/ 1 1) into 1 1.052 * [backup-simplify]: Simplify (+ 0 1) into 1 1.052 * [backup-simplify]: Simplify (sqrt 1) into 1 1.053 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.053 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.053 * [backup-simplify]: Simplify (+ 0 0) into 0 1.054 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.054 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.054 * [taylor]: Taking taylor expansion of re in re 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 1 into 1 1.054 * [backup-simplify]: Simplify (/ 1 1) into 1 1.054 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.054 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.054 * [taylor]: Taking taylor expansion of im in re 1.054 * [backup-simplify]: Simplify im into im 1.054 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.054 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.054 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.054 * [taylor]: Taking taylor expansion of re in re 1.054 * [backup-simplify]: Simplify 0 into 0 1.054 * [backup-simplify]: Simplify 1 into 1 1.054 * [backup-simplify]: Simplify (* 1 1) into 1 1.055 * [backup-simplify]: Simplify (/ 1 1) into 1 1.055 * [backup-simplify]: Simplify (+ 0 1) into 1 1.055 * [backup-simplify]: Simplify (sqrt 1) into 1 1.056 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.056 * [backup-simplify]: Simplify (+ 0 0) into 0 1.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.057 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.057 * [taylor]: Taking taylor expansion of re in re 1.057 * [backup-simplify]: Simplify 0 into 0 1.057 * [backup-simplify]: Simplify 1 into 1 1.057 * [backup-simplify]: Simplify (/ 1 1) into 1 1.057 * [backup-simplify]: Simplify (- 1) into -1 1.057 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.057 * [taylor]: Taking taylor expansion of 0 in im 1.057 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.058 * [backup-simplify]: Simplify (- 0) into 0 1.058 * [backup-simplify]: Simplify (+ 0 0) into 0 1.058 * [taylor]: Taking taylor expansion of 0 in im 1.058 * [backup-simplify]: Simplify 0 into 0 1.058 * [backup-simplify]: Simplify 0 into 0 1.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.059 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.060 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.060 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.061 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.061 * [backup-simplify]: Simplify (- 0) into 0 1.061 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.061 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.061 * [taylor]: Taking taylor expansion of 1/2 in im 1.061 * [backup-simplify]: Simplify 1/2 into 1/2 1.061 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.061 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.061 * [taylor]: Taking taylor expansion of im in im 1.061 * [backup-simplify]: Simplify 0 into 0 1.061 * [backup-simplify]: Simplify 1 into 1 1.062 * [backup-simplify]: Simplify (* 1 1) into 1 1.062 * [backup-simplify]: Simplify (/ 1 1) into 1 1.062 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.063 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify 0 into 0 1.063 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.063 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.064 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.065 * [backup-simplify]: Simplify (+ 0 0) into 0 1.065 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.065 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.066 * [backup-simplify]: Simplify (- 0) into 0 1.066 * [backup-simplify]: Simplify (+ 0 0) into 0 1.066 * [taylor]: Taking taylor expansion of 0 in im 1.066 * [backup-simplify]: Simplify 0 into 0 1.066 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.067 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.067 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * [backup-simplify]: Simplify 0 into 0 1.067 * * * [progress]: simplifying candidates 1.069 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (* (log im) 2) (log (+ (sqrt (+ (* re re) (* im im))) re))) (- (* (log im) 2) (log (+ (sqrt (+ (* re re) (* im im))) re))) (- (log (pow im 2)) (log (+ (sqrt (+ (* re re) (* im im))) re))) (log (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (exp (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (pow im 2) (pow im 2)) (pow im 2)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (- (pow im 2)) (- (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (* (cbrt im) (cbrt im)) 2) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow (cbrt im) 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (* (cbrt im) (cbrt im)) 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (cbrt im) 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (* (cbrt im) (cbrt im)) 2) 1) (/ (pow (cbrt im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (* (cbrt im) (cbrt im)) 2) 1) (/ (pow (cbrt im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (sqrt im) 2) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow (sqrt im) 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (sqrt im) 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (sqrt im) 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow (sqrt im) 2) 1) (/ (pow (sqrt im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow (sqrt im) 2) 1) (/ (pow (sqrt im) 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow 1 2) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow 1 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow 1 2) 1) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow 1 2) 1) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ im (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ im (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im 1) (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ im 1) (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (pow im 2)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (pow im 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1) (/ (cbrt (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) 1) (/ (cbrt (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (sqrt (pow im 2)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (pow im 2)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (pow im 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (pow im 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (pow im 2)) 1) (/ (sqrt (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (sqrt (pow im 2)) 1) (/ (sqrt (pow im 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im 2) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 1) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 1) (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow im (/ 2 2)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im (/ 2 2)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im (/ 2 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im (/ 2 2)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im (/ 2 2)) 1) (/ (pow im (/ 2 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ (pow im (/ 2 2)) 1) (/ (pow im (/ 2 2)) (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 (+ (sqrt (+ (* re re) (* im im))) re)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (pow im 2) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im 2) (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) 1) (/ (pow im 2) 1) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow (cbrt im) 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow (sqrt im) 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) im) (/ (+ (sqrt (+ (* re re) (* im im))) re) (cbrt (pow im 2))) (/ (+ (sqrt (+ (* re re) (* im im))) re) (sqrt (pow im 2))) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (+ (sqrt (+ (* re re) (* im im))) re) (pow im (/ 2 2))) (/ (pow im 2) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (pow im 2) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (log (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (* (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt 2.0) (sqrt (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (pow im 2))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re))))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) 0 0 (- (+ re im)) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (+ re im) (* 2 re) 0 1.070 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) 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(/ (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (sqrt (pow h0 2))) (/ (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (pow h0 2)) (/ (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (pow h0 (/ 2 2))) (/ (pow h0 2) (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3))) (/ (pow h0 2) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1))) (log (sqrt (* h2 (/ (pow h0 2) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (exp (sqrt (* h2 (/ (pow h0 2) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (* (cbrt (sqrt (* h2 (/ (pow h0 2) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (sqrt (* h2 (/ (pow h0 2) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (cbrt (sqrt (* h2 (/ (pow h0 2) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (* (* (sqrt (* h2 (/ (pow h0 2) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (/ (pow h0 2) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (sqrt (* h2 (/ (pow h0 2) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (sqrt h2) (sqrt (/ (pow h0 2) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* h2 (pow h0 2))) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (/ (pow h0 2) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (sqrt (sqrt (* h2 (/ (pow h0 2) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (* (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) h0 h1 (* -1 h1) 0 0 (- (+ h1 h0)) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) (* h0 h1)))) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) h0))) (- (* h3 (/ (* (sqrt h2) (pow h0 3)) (sqrt 1/2)))))))) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (+ (* h3 (/ (sqrt h2) h0)) (- (* h3 (sqrt h2))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (* (sqrt h2) h1) h0)) (- (* h3 (/ (* (sqrt h2) h1) (pow h0 2)))))))) (+ h1 h0) (* 2 h1) 0 1.075 * * [simplify]: iteration 0 : 417 enodes (cost 1078 ) 1.082 * * [simplify]: iteration 1 : 1461 enodes (cost 985 ) 1.113 * * [simplify]: iteration 2 : 5001 enodes (cost 978 ) 1.118 * * * [progress]: adding candidates to table 1.383 * * [progress]: iteration 3 / 4 1.383 * * * [progress]: picking best candidate 1.403 * * * * [pick]: Picked # 1.403 * * * [progress]: localizing error 1.414 * * * [progress]: generating rewritten candidates 1.415 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1) 1.422 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 1.493 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 2) 1.520 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.604 * * * [progress]: generating series expansions 1.604 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1) 1.605 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.605 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.605 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.605 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.605 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.605 * [taylor]: Taking taylor expansion of re in im 1.605 * [backup-simplify]: Simplify re into re 1.605 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.605 * [taylor]: Taking taylor expansion of im in im 1.605 * [backup-simplify]: Simplify 0 into 0 1.605 * [backup-simplify]: Simplify 1 into 1 1.605 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.605 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.605 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.605 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.606 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.606 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.606 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.606 * [taylor]: Taking taylor expansion of re in re 1.606 * [backup-simplify]: Simplify 0 into 0 1.606 * [backup-simplify]: Simplify 1 into 1 1.606 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.606 * [taylor]: Taking taylor expansion of im in re 1.606 * [backup-simplify]: Simplify im into im 1.606 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.606 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.606 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.606 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.606 * [backup-simplify]: Simplify (+ 0 0) into 0 1.606 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.607 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.607 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.607 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.607 * [taylor]: Taking taylor expansion of re in re 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.607 * [taylor]: Taking taylor expansion of im in re 1.607 * [backup-simplify]: Simplify im into im 1.607 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.607 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.607 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.607 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.607 * [backup-simplify]: Simplify (+ 0 0) into 0 1.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.607 * [taylor]: Taking taylor expansion of im in im 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [taylor]: Taking taylor expansion of 0 in im 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 0 into 0 1.607 * [backup-simplify]: Simplify 1 into 1 1.608 * [backup-simplify]: Simplify (* 1 1) into 1 1.608 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.608 * [backup-simplify]: Simplify (+ 1 0) into 1 1.609 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.609 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.609 * [taylor]: Taking taylor expansion of 1/2 in im 1.609 * [backup-simplify]: Simplify 1/2 into 1/2 1.609 * [taylor]: Taking taylor expansion of im in im 1.609 * [backup-simplify]: Simplify 0 into 0 1.609 * [backup-simplify]: Simplify 1 into 1 1.609 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.610 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify 0 into 0 1.610 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.611 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.611 * [backup-simplify]: Simplify (+ 0 0) into 0 1.611 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.611 * [taylor]: Taking taylor expansion of 0 in im 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify 0 into 0 1.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.612 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.612 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.612 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.612 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.612 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.612 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.612 * [taylor]: Taking taylor expansion of im in im 1.612 * [backup-simplify]: Simplify 0 into 0 1.612 * [backup-simplify]: Simplify 1 into 1 1.612 * [backup-simplify]: Simplify (* 1 1) into 1 1.612 * [backup-simplify]: Simplify (/ 1 1) into 1 1.612 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.612 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.612 * [taylor]: Taking taylor expansion of re in im 1.613 * [backup-simplify]: Simplify re into re 1.613 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.613 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.613 * [backup-simplify]: Simplify (+ 1 0) into 1 1.613 * [backup-simplify]: Simplify (sqrt 1) into 1 1.614 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.614 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.614 * [backup-simplify]: Simplify (+ 0 0) into 0 1.615 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.615 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.615 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.615 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.615 * [taylor]: Taking taylor expansion of im in re 1.615 * [backup-simplify]: Simplify im into im 1.615 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.615 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.615 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.615 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.615 * [taylor]: Taking taylor expansion of re in re 1.615 * [backup-simplify]: Simplify 0 into 0 1.615 * [backup-simplify]: Simplify 1 into 1 1.615 * [backup-simplify]: Simplify (* 1 1) into 1 1.616 * [backup-simplify]: Simplify (/ 1 1) into 1 1.616 * [backup-simplify]: Simplify (+ 0 1) into 1 1.616 * [backup-simplify]: Simplify (sqrt 1) into 1 1.616 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.617 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.617 * [backup-simplify]: Simplify (+ 0 0) into 0 1.617 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.617 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.617 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.618 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.618 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.618 * [taylor]: Taking taylor expansion of im in re 1.618 * [backup-simplify]: Simplify im into im 1.618 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.618 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.618 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.618 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.618 * [taylor]: Taking taylor expansion of re in re 1.618 * [backup-simplify]: Simplify 0 into 0 1.618 * [backup-simplify]: Simplify 1 into 1 1.618 * [backup-simplify]: Simplify (* 1 1) into 1 1.618 * [backup-simplify]: Simplify (/ 1 1) into 1 1.618 * [backup-simplify]: Simplify (+ 0 1) into 1 1.619 * [backup-simplify]: Simplify (sqrt 1) into 1 1.619 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.619 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.620 * [backup-simplify]: Simplify (+ 0 0) into 0 1.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.620 * [taylor]: Taking taylor expansion of 1 in im 1.620 * [backup-simplify]: Simplify 1 into 1 1.620 * [taylor]: Taking taylor expansion of 0 in im 1.620 * [backup-simplify]: Simplify 0 into 0 1.620 * [backup-simplify]: Simplify 1 into 1 1.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.621 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.622 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.622 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.622 * [taylor]: Taking taylor expansion of 1/2 in im 1.622 * [backup-simplify]: Simplify 1/2 into 1/2 1.622 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.622 * [taylor]: Taking taylor expansion of im in im 1.622 * [backup-simplify]: Simplify 0 into 0 1.622 * [backup-simplify]: Simplify 1 into 1 1.622 * [backup-simplify]: Simplify (* 1 1) into 1 1.623 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.623 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify 0 into 0 1.624 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.624 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.624 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.625 * [backup-simplify]: Simplify (+ 0 0) into 0 1.626 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.626 * [taylor]: Taking taylor expansion of 0 in im 1.626 * [backup-simplify]: Simplify 0 into 0 1.626 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.627 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.627 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.627 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.627 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.627 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.627 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.627 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.627 * [taylor]: Taking taylor expansion of im in im 1.627 * [backup-simplify]: Simplify 0 into 0 1.627 * [backup-simplify]: Simplify 1 into 1 1.628 * [backup-simplify]: Simplify (* 1 1) into 1 1.628 * [backup-simplify]: Simplify (/ 1 1) into 1 1.628 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.628 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.628 * [taylor]: Taking taylor expansion of re in im 1.628 * [backup-simplify]: Simplify re into re 1.628 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.628 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.628 * [backup-simplify]: Simplify (+ 1 0) into 1 1.628 * [backup-simplify]: Simplify (sqrt 1) into 1 1.629 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.629 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.629 * [backup-simplify]: Simplify (+ 0 0) into 0 1.630 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.630 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.630 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.630 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.630 * [taylor]: Taking taylor expansion of im in re 1.630 * [backup-simplify]: Simplify im into im 1.630 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.630 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.630 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.630 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.630 * [taylor]: Taking taylor expansion of re in re 1.630 * [backup-simplify]: Simplify 0 into 0 1.630 * [backup-simplify]: Simplify 1 into 1 1.630 * [backup-simplify]: Simplify (* 1 1) into 1 1.631 * [backup-simplify]: Simplify (/ 1 1) into 1 1.631 * [backup-simplify]: Simplify (+ 0 1) into 1 1.631 * [backup-simplify]: Simplify (sqrt 1) into 1 1.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.632 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.632 * [backup-simplify]: Simplify (+ 0 0) into 0 1.632 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.632 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.632 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.632 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.633 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.633 * [taylor]: Taking taylor expansion of im in re 1.633 * [backup-simplify]: Simplify im into im 1.633 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.633 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.633 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.633 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.633 * [taylor]: Taking taylor expansion of re in re 1.633 * [backup-simplify]: Simplify 0 into 0 1.633 * [backup-simplify]: Simplify 1 into 1 1.633 * [backup-simplify]: Simplify (* 1 1) into 1 1.633 * [backup-simplify]: Simplify (/ 1 1) into 1 1.633 * [backup-simplify]: Simplify (+ 0 1) into 1 1.634 * [backup-simplify]: Simplify (sqrt 1) into 1 1.634 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.634 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.635 * [backup-simplify]: Simplify (+ 0 0) into 0 1.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.635 * [taylor]: Taking taylor expansion of 1 in im 1.635 * [backup-simplify]: Simplify 1 into 1 1.635 * [taylor]: Taking taylor expansion of 0 in im 1.635 * [backup-simplify]: Simplify 0 into 0 1.635 * [backup-simplify]: Simplify 1 into 1 1.636 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.636 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.636 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.637 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.637 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.637 * [taylor]: Taking taylor expansion of 1/2 in im 1.637 * [backup-simplify]: Simplify 1/2 into 1/2 1.637 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.637 * [taylor]: Taking taylor expansion of im in im 1.637 * [backup-simplify]: Simplify 0 into 0 1.637 * [backup-simplify]: Simplify 1 into 1 1.637 * [backup-simplify]: Simplify (* 1 1) into 1 1.638 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.638 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.638 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify 0 into 0 1.639 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.639 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.639 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.640 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.640 * [backup-simplify]: Simplify (+ 0 0) into 0 1.640 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.640 * [taylor]: Taking taylor expansion of 0 in im 1.640 * [backup-simplify]: Simplify 0 into 0 1.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.641 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify 0 into 0 1.642 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.642 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 1.642 * [backup-simplify]: Simplify (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 1.642 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 1.642 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 1.642 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 1.642 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.642 * [taylor]: Taking taylor expansion of 2.0 in re 1.642 * [backup-simplify]: Simplify 2.0 into 2.0 1.642 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.643 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.643 * [taylor]: Taking taylor expansion of im in re 1.643 * [backup-simplify]: Simplify im into im 1.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 1.643 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.643 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.643 * [taylor]: Taking taylor expansion of re in re 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.643 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.643 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.643 * [taylor]: Taking taylor expansion of re in re 1.643 * [backup-simplify]: Simplify 0 into 0 1.643 * [backup-simplify]: Simplify 1 into 1 1.643 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.643 * [taylor]: Taking taylor expansion of im in re 1.643 * [backup-simplify]: Simplify im into im 1.643 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.643 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.643 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.643 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.644 * [backup-simplify]: Simplify (+ 0 0) into 0 1.644 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.644 * [backup-simplify]: Simplify (+ 0 im) into im 1.644 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 1.644 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 1.644 * [backup-simplify]: Simplify (+ 1 0) into 1 1.644 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 1.644 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 1.644 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.644 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.644 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.644 * [taylor]: Taking taylor expansion of 2.0 in im 1.644 * [backup-simplify]: Simplify 2.0 into 2.0 1.645 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.645 * [taylor]: Taking taylor expansion of im in im 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.645 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.645 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.645 * [taylor]: Taking taylor expansion of re in im 1.645 * [backup-simplify]: Simplify re into re 1.645 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.645 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.645 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.645 * [taylor]: Taking taylor expansion of re in im 1.645 * [backup-simplify]: Simplify re into re 1.645 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.645 * [taylor]: Taking taylor expansion of im in im 1.645 * [backup-simplify]: Simplify 0 into 0 1.645 * [backup-simplify]: Simplify 1 into 1 1.645 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.646 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.646 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.646 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.646 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.646 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.646 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 1.646 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 1.646 * [backup-simplify]: Simplify (+ 0 0) into 0 1.646 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 1.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 1.647 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 1.647 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 1.647 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.647 * [taylor]: Taking taylor expansion of 2.0 in im 1.647 * [backup-simplify]: Simplify 2.0 into 2.0 1.647 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.647 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.647 * [taylor]: Taking taylor expansion of im in im 1.647 * [backup-simplify]: Simplify 0 into 0 1.647 * [backup-simplify]: Simplify 1 into 1 1.647 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 1.647 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.647 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.647 * [taylor]: Taking taylor expansion of re in im 1.647 * [backup-simplify]: Simplify re into re 1.647 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.647 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.647 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.647 * [taylor]: Taking taylor expansion of re in im 1.647 * [backup-simplify]: Simplify re into re 1.647 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.648 * [taylor]: Taking taylor expansion of im in im 1.648 * [backup-simplify]: Simplify 0 into 0 1.648 * [backup-simplify]: Simplify 1 into 1 1.648 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.648 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.648 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.648 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.648 * [backup-simplify]: Simplify (+ 0 0) into 0 1.648 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.648 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.648 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 1.648 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 1.648 * [backup-simplify]: Simplify (+ 0 0) into 0 1.649 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 1.649 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 1.649 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.649 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 1.649 * [taylor]: Taking taylor expansion of 0 in re 1.649 * [backup-simplify]: Simplify 0 into 0 1.649 * [backup-simplify]: Simplify 0 into 0 1.651 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 1.651 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 1.651 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 1.651 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 1.651 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.651 * [taylor]: Taking taylor expansion of 2.0 in re 1.651 * [backup-simplify]: Simplify 2.0 into 2.0 1.652 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.652 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.652 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.652 * [taylor]: Taking taylor expansion of 1/2 in re 1.652 * [backup-simplify]: Simplify 1/2 into 1/2 1.652 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.653 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.653 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 1.653 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.653 * [taylor]: Taking taylor expansion of re in re 1.653 * [backup-simplify]: Simplify 0 into 0 1.653 * [backup-simplify]: Simplify 1 into 1 1.653 * [backup-simplify]: Simplify (/ 1 1) into 1 1.653 * [backup-simplify]: Simplify (sqrt 0) into 0 1.654 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.655 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 1.656 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 1.658 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.659 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.659 * [backup-simplify]: Simplify 0 into 0 1.660 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.660 * [backup-simplify]: Simplify (* 1 1) into 1 1.660 * [backup-simplify]: Simplify (+ 0 1) into 1 1.661 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.661 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 1.661 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 1.662 * [backup-simplify]: Simplify (/ (- (- (* 1/8 (/ 1 (pow re 3)))) (pow 0 2) (+)) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))) 1.662 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.663 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 1.664 * [backup-simplify]: Simplify (+ (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))))) into 0 1.664 * [taylor]: Taking taylor expansion of 0 in re 1.664 * [backup-simplify]: Simplify 0 into 0 1.664 * [backup-simplify]: Simplify 0 into 0 1.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.666 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.667 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1.668 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.668 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 1.671 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.672 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 1.673 * [backup-simplify]: Simplify 0 into 0 1.673 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 1.673 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.674 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 1.674 * [backup-simplify]: Simplify (+ 0 0) into 0 1.674 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))) (* 0 (/ (* 1/2 (/ 1 re)) (* 2 re))) (* (- (* 1/8 (/ 1 (pow re 3)))) (/ 0 (* 2 re))))) into 0 1.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2)))))))) (* 2 (* (sqrt (/ 1 re)) (sqrt 1/2)))) into 0 1.676 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.677 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 1.679 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 1.679 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 1.679 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 1.679 * [taylor]: Taking taylor expansion of 1/16 in re 1.679 * [backup-simplify]: Simplify 1/16 into 1/16 1.679 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 1.679 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 1.679 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.679 * [taylor]: Taking taylor expansion of 2.0 in re 1.679 * [backup-simplify]: Simplify 2.0 into 2.0 1.679 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.679 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.679 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 1.679 * [taylor]: Taking taylor expansion of 1/2 in re 1.679 * [backup-simplify]: Simplify 1/2 into 1/2 1.680 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 1.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 1.681 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 1.681 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 1.681 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 1.681 * [taylor]: Taking taylor expansion of (pow re 5) in re 1.681 * [taylor]: Taking taylor expansion of re in re 1.681 * [backup-simplify]: Simplify 0 into 0 1.681 * [backup-simplify]: Simplify 1 into 1 1.681 * [backup-simplify]: Simplify (* 1 1) into 1 1.681 * [backup-simplify]: Simplify (* 1 1) into 1 1.682 * [backup-simplify]: Simplify (* 1 1) into 1 1.682 * [backup-simplify]: Simplify (/ 1 1) into 1 1.682 * [backup-simplify]: Simplify (sqrt 0) into 0 1.683 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.683 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.685 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.686 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.688 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 1.690 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 1.694 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 1.695 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.695 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 1.696 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 1.697 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.698 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 1.698 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 1.701 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.704 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.706 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.706 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 1.711 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.713 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.715 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 1.721 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 1.721 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 im) (/ (/ 1 im) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 1.721 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 1.722 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 1.722 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.722 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.722 * [taylor]: Taking taylor expansion of 2.0 in re 1.722 * [backup-simplify]: Simplify 2.0 into 2.0 1.722 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.722 * [taylor]: Taking taylor expansion of im in re 1.722 * [backup-simplify]: Simplify im into im 1.723 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 1.723 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 1.723 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 1.723 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.723 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.723 * [taylor]: Taking taylor expansion of re in re 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 1 into 1 1.723 * [backup-simplify]: Simplify (/ 1 1) into 1 1.723 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.723 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.723 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.723 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.723 * [taylor]: Taking taylor expansion of im in re 1.723 * [backup-simplify]: Simplify im into im 1.723 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.723 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.723 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.723 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.723 * [taylor]: Taking taylor expansion of re in re 1.723 * [backup-simplify]: Simplify 0 into 0 1.723 * [backup-simplify]: Simplify 1 into 1 1.724 * [backup-simplify]: Simplify (* 1 1) into 1 1.724 * [backup-simplify]: Simplify (/ 1 1) into 1 1.724 * [backup-simplify]: Simplify (+ 0 1) into 1 1.724 * [backup-simplify]: Simplify (sqrt 1) into 1 1.725 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.725 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.725 * [backup-simplify]: Simplify (+ 0 0) into 0 1.726 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.726 * [backup-simplify]: Simplify (+ 1 1) into 2 1.726 * [backup-simplify]: Simplify (/ 1 2) into 1/2 1.727 * [backup-simplify]: Simplify (sqrt 0) into 0 1.727 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 1.727 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.727 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.727 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.728 * [taylor]: Taking taylor expansion of 2.0 in im 1.728 * [backup-simplify]: Simplify 2.0 into 2.0 1.728 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.728 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 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 1.729 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.729 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.729 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.729 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.729 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.729 * [taylor]: Taking taylor expansion of re in im 1.729 * [backup-simplify]: Simplify re into re 1.729 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.729 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.729 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.729 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.729 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.729 * [taylor]: Taking taylor expansion of im in im 1.729 * [backup-simplify]: Simplify 0 into 0 1.729 * [backup-simplify]: Simplify 1 into 1 1.729 * [backup-simplify]: Simplify (* 1 1) into 1 1.729 * [backup-simplify]: Simplify (/ 1 1) into 1 1.729 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.730 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.730 * [taylor]: Taking taylor expansion of re in im 1.730 * [backup-simplify]: Simplify re into re 1.730 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.730 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.730 * [backup-simplify]: Simplify (+ 1 0) into 1 1.730 * [backup-simplify]: Simplify (sqrt 1) into 1 1.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.731 * [backup-simplify]: Simplify (+ 0 0) into 0 1.732 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.732 * [backup-simplify]: Simplify (+ 0 1) into 1 1.732 * [backup-simplify]: Simplify (/ 1 1) into 1 1.732 * [backup-simplify]: Simplify (sqrt 0) into 0 1.733 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.733 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 1.733 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.733 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.733 * [taylor]: Taking taylor expansion of 2.0 in im 1.733 * [backup-simplify]: Simplify 2.0 into 2.0 1.734 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.734 * [taylor]: Taking taylor expansion of im in im 1.734 * [backup-simplify]: Simplify 0 into 0 1.734 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.735 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 1.735 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 1.735 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.735 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.735 * [taylor]: Taking taylor expansion of re in im 1.735 * [backup-simplify]: Simplify re into re 1.735 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.735 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.735 * [taylor]: Taking taylor expansion of im in im 1.735 * [backup-simplify]: Simplify 0 into 0 1.735 * [backup-simplify]: Simplify 1 into 1 1.735 * [backup-simplify]: Simplify (* 1 1) into 1 1.735 * [backup-simplify]: Simplify (/ 1 1) into 1 1.735 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.735 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.735 * [taylor]: Taking taylor expansion of re in im 1.735 * [backup-simplify]: Simplify re into re 1.735 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.736 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.736 * [backup-simplify]: Simplify (+ 1 0) into 1 1.736 * [backup-simplify]: Simplify (sqrt 1) into 1 1.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.737 * [backup-simplify]: Simplify (+ 0 0) into 0 1.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.738 * [backup-simplify]: Simplify (+ 0 1) into 1 1.738 * [backup-simplify]: Simplify (/ 1 1) into 1 1.738 * [backup-simplify]: Simplify (sqrt 0) into 0 1.739 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.739 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.739 * [taylor]: Taking taylor expansion of 0 in re 1.739 * [backup-simplify]: Simplify 0 into 0 1.739 * [backup-simplify]: Simplify 0 into 0 1.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.741 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.741 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.741 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.741 * [taylor]: Taking taylor expansion of +nan.0 in re 1.741 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.741 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.741 * [taylor]: Taking taylor expansion of 2.0 in re 1.741 * [backup-simplify]: Simplify 2.0 into 2.0 1.741 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.742 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.742 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.743 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.744 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.744 * [backup-simplify]: Simplify 0 into 0 1.744 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 1.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 1.745 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 1.746 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.746 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.747 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 1.747 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.747 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.747 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.747 * [taylor]: Taking taylor expansion of +nan.0 in re 1.747 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.747 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.747 * [taylor]: Taking taylor expansion of 2.0 in re 1.747 * [backup-simplify]: Simplify 2.0 into 2.0 1.748 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.748 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.748 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.748 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.748 * [taylor]: Taking taylor expansion of +nan.0 in re 1.748 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.748 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.748 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.748 * [taylor]: Taking taylor expansion of 2.0 in re 1.748 * [backup-simplify]: Simplify 2.0 into 2.0 1.748 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.749 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.749 * [taylor]: Taking taylor expansion of re in re 1.749 * [backup-simplify]: Simplify 0 into 0 1.749 * [backup-simplify]: Simplify 1 into 1 1.749 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.750 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.750 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.751 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.751 * [backup-simplify]: Simplify (- 0) into 0 1.752 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 1.753 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.754 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.755 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.755 * [backup-simplify]: Simplify (- 0) into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify 0 into 0 1.755 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.756 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.756 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.756 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.757 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.757 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 1.757 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.758 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 1.759 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.759 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.761 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 1.761 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 1.761 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 1.761 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.761 * [taylor]: Taking taylor expansion of +nan.0 in re 1.761 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.761 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.761 * [taylor]: Taking taylor expansion of 2.0 in re 1.761 * [backup-simplify]: Simplify 2.0 into 2.0 1.761 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.761 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.761 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.762 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.762 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.762 * [taylor]: Taking taylor expansion of +nan.0 in re 1.762 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.762 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.762 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.762 * [taylor]: Taking taylor expansion of 2.0 in re 1.762 * [backup-simplify]: Simplify 2.0 into 2.0 1.762 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.762 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 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 1.763 * [backup-simplify]: Simplify (* 1 1) into 1 1.763 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.763 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.763 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.763 * [taylor]: Taking taylor expansion of +nan.0 in re 1.763 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.763 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.763 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.763 * [taylor]: Taking taylor expansion of 2.0 in re 1.763 * [backup-simplify]: Simplify 2.0 into 2.0 1.763 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.764 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.764 * [taylor]: Taking taylor expansion of re in re 1.764 * [backup-simplify]: Simplify 0 into 0 1.764 * [backup-simplify]: Simplify 1 into 1 1.764 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.765 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.766 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.767 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.768 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 1.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.769 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.769 * [backup-simplify]: Simplify (- 0) into 0 1.770 * [backup-simplify]: Simplify (+ 0 0) into 0 1.770 * [backup-simplify]: Simplify (- 0) into 0 1.771 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 1.772 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.773 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.776 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 1.776 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ 1 (- im)) (/ (/ 1 (- im)) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 1.776 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 1.776 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 1.776 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 1.776 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.776 * [taylor]: Taking taylor expansion of 2.0 in re 1.776 * [backup-simplify]: Simplify 2.0 into 2.0 1.776 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.777 * [taylor]: Taking taylor expansion of im in re 1.777 * [backup-simplify]: Simplify im into im 1.777 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 1.777 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 1.777 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 1.777 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.778 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.778 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.778 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.778 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.778 * [taylor]: Taking taylor expansion of im in re 1.778 * [backup-simplify]: Simplify im into im 1.778 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.778 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.778 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.778 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.778 * [taylor]: Taking taylor expansion of re in re 1.778 * [backup-simplify]: Simplify 0 into 0 1.778 * [backup-simplify]: Simplify 1 into 1 1.778 * [backup-simplify]: Simplify (* 1 1) into 1 1.778 * [backup-simplify]: Simplify (/ 1 1) into 1 1.779 * [backup-simplify]: Simplify (+ 0 1) into 1 1.779 * [backup-simplify]: Simplify (sqrt 1) into 1 1.779 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.780 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.780 * [backup-simplify]: Simplify (+ 0 0) into 0 1.780 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.780 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.780 * [taylor]: Taking taylor expansion of re in re 1.780 * [backup-simplify]: Simplify 0 into 0 1.780 * [backup-simplify]: Simplify 1 into 1 1.780 * [backup-simplify]: Simplify (/ 1 1) into 1 1.781 * [backup-simplify]: Simplify (- 1) into -1 1.781 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.781 * [backup-simplify]: Simplify (- 0) into 0 1.782 * [backup-simplify]: Simplify (+ 0 0) into 0 1.785 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.785 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.786 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.786 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.787 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.787 * [backup-simplify]: Simplify (- 0) into 0 1.787 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.787 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 1.788 * [backup-simplify]: Simplify (sqrt 0) into 0 1.788 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 1.788 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.788 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.788 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.788 * [taylor]: Taking taylor expansion of 2.0 in im 1.788 * [backup-simplify]: Simplify 2.0 into 2.0 1.788 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.789 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.789 * [taylor]: Taking taylor expansion of im in im 1.789 * [backup-simplify]: Simplify 0 into 0 1.789 * [backup-simplify]: Simplify 1 into 1 1.789 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.789 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.789 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.789 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.789 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.790 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.790 * [taylor]: Taking taylor expansion of im in im 1.790 * [backup-simplify]: Simplify 0 into 0 1.790 * [backup-simplify]: Simplify 1 into 1 1.790 * [backup-simplify]: Simplify (* 1 1) into 1 1.790 * [backup-simplify]: Simplify (/ 1 1) into 1 1.790 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.790 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.790 * [taylor]: Taking taylor expansion of re in im 1.790 * [backup-simplify]: Simplify re into re 1.790 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.790 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.791 * [backup-simplify]: Simplify (+ 1 0) into 1 1.791 * [backup-simplify]: Simplify (sqrt 1) into 1 1.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.792 * [backup-simplify]: Simplify (+ 0 0) into 0 1.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.792 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.792 * [taylor]: Taking taylor expansion of re in im 1.792 * [backup-simplify]: Simplify re into re 1.792 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.792 * [backup-simplify]: Simplify (+ 1 0) into 1 1.793 * [backup-simplify]: Simplify (/ 1 1) into 1 1.793 * [backup-simplify]: Simplify (sqrt 0) into 0 1.794 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.794 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 1.794 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 1.794 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 1.794 * [taylor]: Taking taylor expansion of 2.0 in im 1.794 * [backup-simplify]: Simplify 2.0 into 2.0 1.794 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.795 * [taylor]: Taking taylor expansion of im in im 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.795 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.795 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 1.795 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 1.795 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.795 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.795 * [taylor]: Taking taylor expansion of im in im 1.795 * [backup-simplify]: Simplify 0 into 0 1.795 * [backup-simplify]: Simplify 1 into 1 1.796 * [backup-simplify]: Simplify (* 1 1) into 1 1.796 * [backup-simplify]: Simplify (/ 1 1) into 1 1.796 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.796 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.796 * [taylor]: Taking taylor expansion of re in im 1.796 * [backup-simplify]: Simplify re into re 1.796 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.796 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.796 * [backup-simplify]: Simplify (+ 1 0) into 1 1.797 * [backup-simplify]: Simplify (sqrt 1) into 1 1.797 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.798 * [backup-simplify]: Simplify (+ 0 0) into 0 1.798 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.798 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.798 * [taylor]: Taking taylor expansion of re in im 1.798 * [backup-simplify]: Simplify re into re 1.798 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.798 * [backup-simplify]: Simplify (+ 1 0) into 1 1.799 * [backup-simplify]: Simplify (/ 1 1) into 1 1.799 * [backup-simplify]: Simplify (sqrt 0) into 0 1.800 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 1.800 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 1.800 * [taylor]: Taking taylor expansion of 0 in re 1.800 * [backup-simplify]: Simplify 0 into 0 1.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.802 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 1.802 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 1.802 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.802 * [taylor]: Taking taylor expansion of +nan.0 in re 1.802 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.802 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.802 * [taylor]: Taking taylor expansion of 2.0 in re 1.802 * [backup-simplify]: Simplify 2.0 into 2.0 1.802 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.802 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.802 * [backup-simplify]: Simplify 0 into 0 1.803 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 1.803 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 1.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 1.803 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 1.804 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 1.805 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.805 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 1.805 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.805 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.805 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.805 * [taylor]: Taking taylor expansion of +nan.0 in re 1.805 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.806 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.806 * [taylor]: Taking taylor expansion of 2.0 in re 1.806 * [backup-simplify]: Simplify 2.0 into 2.0 1.806 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.806 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.806 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.806 * [taylor]: Taking taylor expansion of +nan.0 in re 1.806 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.806 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.806 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.806 * [taylor]: Taking taylor expansion of 2.0 in re 1.806 * [backup-simplify]: Simplify 2.0 into 2.0 1.807 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.807 * [taylor]: Taking taylor expansion of re in re 1.807 * [backup-simplify]: Simplify 0 into 0 1.807 * [backup-simplify]: Simplify 1 into 1 1.808 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.808 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.809 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.810 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.812 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.812 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.813 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.814 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.815 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.815 * [backup-simplify]: Simplify 0 into 0 1.815 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.816 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.816 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.817 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.817 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.817 * [backup-simplify]: Simplify (- 0) into 0 1.817 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 1.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.818 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 1.819 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 1.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.820 * [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))))))) 1.820 * [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 1.820 * [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 1.820 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 1.820 * [taylor]: Taking taylor expansion of +nan.0 in re 1.820 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.820 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.820 * [taylor]: Taking taylor expansion of 2.0 in re 1.821 * [backup-simplify]: Simplify 2.0 into 2.0 1.821 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.821 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 1.821 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 1.821 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 1.821 * [taylor]: Taking taylor expansion of +nan.0 in re 1.821 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.821 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 1.821 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.821 * [taylor]: Taking taylor expansion of 2.0 in re 1.821 * [backup-simplify]: Simplify 2.0 into 2.0 1.822 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.822 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.822 * [taylor]: Taking taylor expansion of re in re 1.822 * [backup-simplify]: Simplify 0 into 0 1.822 * [backup-simplify]: Simplify 1 into 1 1.822 * [backup-simplify]: Simplify (* 1 1) into 1 1.823 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.823 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 1.823 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 1.823 * [taylor]: Taking taylor expansion of +nan.0 in re 1.823 * [backup-simplify]: Simplify +nan.0 into +nan.0 1.823 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 1.823 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 1.823 * [taylor]: Taking taylor expansion of 2.0 in re 1.823 * [backup-simplify]: Simplify 2.0 into 2.0 1.823 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 1.824 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 1.824 * [taylor]: Taking taylor expansion of re in re 1.824 * [backup-simplify]: Simplify 0 into 0 1.824 * [backup-simplify]: Simplify 1 into 1 1.824 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 1.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.825 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 1.826 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 1.826 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 1.827 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.828 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.830 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.831 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.832 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 1.833 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 1.836 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 1.836 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 2) 1.836 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1.836 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.836 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.836 * [taylor]: Taking taylor expansion of re in im 1.836 * [backup-simplify]: Simplify re into re 1.836 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.836 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.836 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.836 * [taylor]: Taking taylor expansion of re in im 1.836 * [backup-simplify]: Simplify re into re 1.836 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.836 * [taylor]: Taking taylor expansion of im in im 1.836 * [backup-simplify]: Simplify 0 into 0 1.836 * [backup-simplify]: Simplify 1 into 1 1.837 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.837 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.837 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.837 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.837 * [backup-simplify]: Simplify (+ 0 0) into 0 1.837 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.837 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.837 * [taylor]: Taking taylor expansion of re in re 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.837 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.837 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.837 * [taylor]: Taking taylor expansion of re in re 1.837 * [backup-simplify]: Simplify 0 into 0 1.837 * [backup-simplify]: Simplify 1 into 1 1.837 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.837 * [taylor]: Taking taylor expansion of im in re 1.837 * [backup-simplify]: Simplify im into im 1.837 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.837 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.838 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.838 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.838 * [backup-simplify]: Simplify (+ 0 0) into 0 1.838 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.838 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.838 * [taylor]: Taking taylor expansion of re in re 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.838 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.838 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.838 * [taylor]: Taking taylor expansion of re in re 1.838 * [backup-simplify]: Simplify 0 into 0 1.838 * [backup-simplify]: Simplify 1 into 1 1.838 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.838 * [taylor]: Taking taylor expansion of im in re 1.838 * [backup-simplify]: Simplify im into im 1.838 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.838 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.838 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.838 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.839 * [backup-simplify]: Simplify (+ 0 0) into 0 1.839 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.839 * [backup-simplify]: Simplify (+ 0 im) into im 1.839 * [taylor]: Taking taylor expansion of im in im 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify 0 into 0 1.839 * [backup-simplify]: Simplify (+ 1 0) into 1 1.839 * [taylor]: Taking taylor expansion of 1 in im 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify 1 into 1 1.839 * [backup-simplify]: Simplify (* 1 1) into 1 1.840 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.840 * [backup-simplify]: Simplify (+ 1 0) into 1 1.840 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.840 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.841 * [taylor]: Taking taylor expansion of 1/2 in im 1.841 * [backup-simplify]: Simplify 1/2 into 1/2 1.841 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.841 * [taylor]: Taking taylor expansion of im in im 1.841 * [backup-simplify]: Simplify 0 into 0 1.841 * [backup-simplify]: Simplify 1 into 1 1.841 * [backup-simplify]: Simplify (/ 1 1) into 1 1.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 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 (+ (* 1 0) (* 0 1)) into 0 1.842 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.843 * [backup-simplify]: Simplify (+ 0 0) into 0 1.843 * [taylor]: Taking taylor expansion of 0 in im 1.843 * [backup-simplify]: Simplify 0 into 0 1.843 * [backup-simplify]: Simplify 0 into 0 1.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.844 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 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 (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.844 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1.844 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.844 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.844 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.845 * [taylor]: Taking taylor expansion of re in im 1.845 * [backup-simplify]: Simplify re into re 1.845 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.845 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.845 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.845 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.845 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.845 * [taylor]: Taking taylor expansion of im in im 1.845 * [backup-simplify]: Simplify 0 into 0 1.845 * [backup-simplify]: Simplify 1 into 1 1.845 * [backup-simplify]: Simplify (* 1 1) into 1 1.845 * [backup-simplify]: Simplify (/ 1 1) into 1 1.845 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.845 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.845 * [taylor]: Taking taylor expansion of re in im 1.845 * [backup-simplify]: Simplify re into re 1.845 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.845 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.846 * [backup-simplify]: Simplify (+ 1 0) into 1 1.846 * [backup-simplify]: Simplify (sqrt 1) into 1 1.846 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.847 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.847 * [backup-simplify]: Simplify (+ 0 0) into 0 1.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.847 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.847 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.847 * [taylor]: Taking taylor expansion of re in re 1.847 * [backup-simplify]: Simplify 0 into 0 1.847 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (/ 1 1) into 1 1.848 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.848 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.848 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.848 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.848 * [taylor]: Taking taylor expansion of im in re 1.848 * [backup-simplify]: Simplify im into im 1.848 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.848 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.848 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.848 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.848 * [taylor]: Taking taylor expansion of re in re 1.848 * [backup-simplify]: Simplify 0 into 0 1.848 * [backup-simplify]: Simplify 1 into 1 1.848 * [backup-simplify]: Simplify (* 1 1) into 1 1.848 * [backup-simplify]: Simplify (/ 1 1) into 1 1.849 * [backup-simplify]: Simplify (+ 0 1) into 1 1.849 * [backup-simplify]: Simplify (sqrt 1) into 1 1.849 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.850 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.850 * [backup-simplify]: Simplify (+ 0 0) into 0 1.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.850 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.850 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.850 * [taylor]: Taking taylor expansion of re in re 1.850 * [backup-simplify]: Simplify 0 into 0 1.850 * [backup-simplify]: Simplify 1 into 1 1.850 * [backup-simplify]: Simplify (/ 1 1) into 1 1.850 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.850 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.850 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.851 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.851 * [taylor]: Taking taylor expansion of im in re 1.851 * [backup-simplify]: Simplify im into im 1.851 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.851 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.851 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.851 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.851 * [taylor]: Taking taylor expansion of re in re 1.851 * [backup-simplify]: Simplify 0 into 0 1.851 * [backup-simplify]: Simplify 1 into 1 1.851 * [backup-simplify]: Simplify (* 1 1) into 1 1.851 * [backup-simplify]: Simplify (/ 1 1) into 1 1.851 * [backup-simplify]: Simplify (+ 0 1) into 1 1.852 * [backup-simplify]: Simplify (sqrt 1) into 1 1.852 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.852 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.853 * [backup-simplify]: Simplify (+ 0 0) into 0 1.853 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.853 * [backup-simplify]: Simplify (+ 1 1) into 2 1.853 * [taylor]: Taking taylor expansion of 2 in im 1.853 * [backup-simplify]: Simplify 2 into 2 1.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.854 * [backup-simplify]: Simplify (+ 0 0) into 0 1.854 * [taylor]: Taking taylor expansion of 0 in im 1.854 * [backup-simplify]: Simplify 0 into 0 1.854 * [backup-simplify]: Simplify 2 into 2 1.855 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.855 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.856 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.857 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.857 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.857 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.857 * [taylor]: Taking taylor expansion of 1/2 in im 1.857 * [backup-simplify]: Simplify 1/2 into 1/2 1.857 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.857 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.857 * [taylor]: Taking taylor expansion of im in im 1.857 * [backup-simplify]: Simplify 0 into 0 1.857 * [backup-simplify]: Simplify 1 into 1 1.857 * [backup-simplify]: Simplify (* 1 1) into 1 1.857 * [backup-simplify]: Simplify (/ 1 1) into 1 1.858 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.858 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.858 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.858 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify 0 into 0 1.859 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.859 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.859 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.860 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.861 * [backup-simplify]: Simplify (+ 0 0) into 0 1.861 * [taylor]: Taking taylor expansion of 0 in im 1.861 * [backup-simplify]: Simplify 0 into 0 1.862 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.863 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.863 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1.863 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.863 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.863 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.863 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.863 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.863 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.863 * [taylor]: Taking taylor expansion of im in im 1.863 * [backup-simplify]: Simplify 0 into 0 1.863 * [backup-simplify]: Simplify 1 into 1 1.863 * [backup-simplify]: Simplify (* 1 1) into 1 1.864 * [backup-simplify]: Simplify (/ 1 1) into 1 1.864 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.864 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.864 * [taylor]: Taking taylor expansion of re in im 1.864 * [backup-simplify]: Simplify re into re 1.864 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.864 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.864 * [backup-simplify]: Simplify (+ 1 0) into 1 1.864 * [backup-simplify]: Simplify (sqrt 1) into 1 1.865 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.865 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.865 * [backup-simplify]: Simplify (+ 0 0) into 0 1.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.866 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.866 * [taylor]: Taking taylor expansion of re in im 1.866 * [backup-simplify]: Simplify re into re 1.866 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.866 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.866 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.866 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.866 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.866 * [taylor]: Taking taylor expansion of im in re 1.866 * [backup-simplify]: Simplify im into im 1.866 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.866 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.866 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.866 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.866 * [taylor]: Taking taylor expansion of re in re 1.866 * [backup-simplify]: Simplify 0 into 0 1.866 * [backup-simplify]: Simplify 1 into 1 1.866 * [backup-simplify]: Simplify (* 1 1) into 1 1.867 * [backup-simplify]: Simplify (/ 1 1) into 1 1.867 * [backup-simplify]: Simplify (+ 0 1) into 1 1.867 * [backup-simplify]: Simplify (sqrt 1) into 1 1.867 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.868 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.868 * [backup-simplify]: Simplify (+ 0 0) into 0 1.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.868 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.868 * [taylor]: Taking taylor expansion of re in re 1.868 * [backup-simplify]: Simplify 0 into 0 1.868 * [backup-simplify]: Simplify 1 into 1 1.869 * [backup-simplify]: Simplify (/ 1 1) into 1 1.869 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.869 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.869 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.869 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.869 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.869 * [taylor]: Taking taylor expansion of im in re 1.869 * [backup-simplify]: Simplify im into im 1.869 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.869 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.869 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.869 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.869 * [taylor]: Taking taylor expansion of re in re 1.869 * [backup-simplify]: Simplify 0 into 0 1.869 * [backup-simplify]: Simplify 1 into 1 1.869 * [backup-simplify]: Simplify (* 1 1) into 1 1.870 * [backup-simplify]: Simplify (/ 1 1) into 1 1.870 * [backup-simplify]: Simplify (+ 0 1) into 1 1.870 * [backup-simplify]: Simplify (sqrt 1) into 1 1.870 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.871 * [backup-simplify]: Simplify (+ 0 0) into 0 1.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.871 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.871 * [taylor]: Taking taylor expansion of re in re 1.871 * [backup-simplify]: Simplify 0 into 0 1.871 * [backup-simplify]: Simplify 1 into 1 1.872 * [backup-simplify]: Simplify (/ 1 1) into 1 1.872 * [backup-simplify]: Simplify (- 1) into -1 1.872 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.872 * [taylor]: Taking taylor expansion of 0 in im 1.872 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.873 * [backup-simplify]: Simplify (- 0) into 0 1.873 * [backup-simplify]: Simplify (+ 0 0) into 0 1.873 * [taylor]: Taking taylor expansion of 0 in im 1.873 * [backup-simplify]: Simplify 0 into 0 1.873 * [backup-simplify]: Simplify 0 into 0 1.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.874 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.874 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.875 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.875 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.876 * [backup-simplify]: Simplify (- 0) into 0 1.876 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.876 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.876 * [taylor]: Taking taylor expansion of 1/2 in im 1.876 * [backup-simplify]: Simplify 1/2 into 1/2 1.876 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.876 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.876 * [taylor]: Taking taylor expansion of im in im 1.876 * [backup-simplify]: Simplify 0 into 0 1.876 * [backup-simplify]: Simplify 1 into 1 1.876 * [backup-simplify]: Simplify (* 1 1) into 1 1.879 * [backup-simplify]: Simplify (/ 1 1) into 1 1.880 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.880 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.881 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify 0 into 0 1.881 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.881 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.882 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.883 * [backup-simplify]: Simplify (+ 0 0) into 0 1.883 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.884 * [backup-simplify]: Simplify (- 0) into 0 1.884 * [backup-simplify]: Simplify (+ 0 0) into 0 1.884 * [taylor]: Taking taylor expansion of 0 in im 1.884 * [backup-simplify]: Simplify 0 into 0 1.884 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.885 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.885 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.885 * [backup-simplify]: Simplify 0 into 0 1.886 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.886 * [backup-simplify]: Simplify (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))) into (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) 1.886 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 1.886 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 1.886 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.886 * [taylor]: Taking taylor expansion of im in re 1.886 * [backup-simplify]: Simplify im into im 1.886 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.886 * [taylor]: Taking taylor expansion of re in re 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.886 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.886 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.886 * [taylor]: Taking taylor expansion of re in re 1.886 * [backup-simplify]: Simplify 0 into 0 1.886 * [backup-simplify]: Simplify 1 into 1 1.886 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.886 * [taylor]: Taking taylor expansion of im in re 1.886 * [backup-simplify]: Simplify im into im 1.886 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.886 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.886 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.886 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.887 * [backup-simplify]: Simplify (+ 0 0) into 0 1.887 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.887 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.887 * [backup-simplify]: Simplify (+ 0 im) into im 1.887 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 1.887 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.887 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.887 * [taylor]: Taking taylor expansion of im in im 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.887 * [taylor]: Taking taylor expansion of re in im 1.887 * [backup-simplify]: Simplify re into re 1.887 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.887 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.887 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.887 * [taylor]: Taking taylor expansion of re in im 1.887 * [backup-simplify]: Simplify re into re 1.887 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.887 * [taylor]: Taking taylor expansion of im in im 1.887 * [backup-simplify]: Simplify 0 into 0 1.887 * [backup-simplify]: Simplify 1 into 1 1.887 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.887 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.887 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.887 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.888 * [backup-simplify]: Simplify (+ 0 0) into 0 1.888 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.888 * [backup-simplify]: Simplify (* 1 1) into 1 1.888 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.888 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 1.888 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 1.888 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.888 * [taylor]: Taking taylor expansion of im in im 1.888 * [backup-simplify]: Simplify 0 into 0 1.888 * [backup-simplify]: Simplify 1 into 1 1.888 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.888 * [taylor]: Taking taylor expansion of re in im 1.888 * [backup-simplify]: Simplify re into re 1.888 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.889 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.889 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.889 * [taylor]: Taking taylor expansion of re in im 1.889 * [backup-simplify]: Simplify re into re 1.889 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.889 * [taylor]: Taking taylor expansion of im in im 1.889 * [backup-simplify]: Simplify 0 into 0 1.889 * [backup-simplify]: Simplify 1 into 1 1.889 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.889 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.889 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.889 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.889 * [backup-simplify]: Simplify (+ 0 0) into 0 1.889 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.889 * [backup-simplify]: Simplify (* 1 1) into 1 1.890 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 1.890 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 1.890 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 1.890 * [taylor]: Taking taylor expansion of 1/2 in re 1.890 * [backup-simplify]: Simplify 1/2 into 1/2 1.890 * [taylor]: Taking taylor expansion of re in re 1.890 * [backup-simplify]: Simplify 0 into 0 1.890 * [backup-simplify]: Simplify 1 into 1 1.890 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.890 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.890 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.891 * [backup-simplify]: Simplify (+ 0 0) into 0 1.891 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 1.891 * [taylor]: Taking taylor expansion of 0 in re 1.891 * [backup-simplify]: Simplify 0 into 0 1.891 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.892 * [backup-simplify]: Simplify 0 into 0 1.892 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.893 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 1.893 * [backup-simplify]: Simplify (* 1 1) into 1 1.893 * [backup-simplify]: Simplify (+ 0 1) into 1 1.893 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 1.893 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 1.894 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 1.894 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 1.894 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 1.894 * [taylor]: Taking taylor expansion of 1/8 in re 1.894 * [backup-simplify]: Simplify 1/8 into 1/8 1.894 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 1.894 * [taylor]: Taking taylor expansion of (pow re 3) in re 1.894 * [taylor]: Taking taylor expansion of re in re 1.894 * [backup-simplify]: Simplify 0 into 0 1.894 * [backup-simplify]: Simplify 1 into 1 1.894 * [backup-simplify]: Simplify (* 1 1) into 1 1.894 * [backup-simplify]: Simplify (* 1 1) into 1 1.895 * [backup-simplify]: Simplify (/ 1 1) into 1 1.895 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.896 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.897 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.897 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.899 * [backup-simplify]: Simplify (- 0) into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.899 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify 0 into 0 1.900 * [backup-simplify]: Simplify (* (/ 1 im) (/ (/ 1 im) (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) 1.900 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 1.900 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 1.900 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 1.901 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.901 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.901 * [taylor]: Taking taylor expansion of re in re 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify (/ 1 1) into 1 1.901 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.901 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.901 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.901 * [taylor]: Taking taylor expansion of im in re 1.901 * [backup-simplify]: Simplify im into im 1.901 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.901 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.901 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.901 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.901 * [taylor]: Taking taylor expansion of re in re 1.901 * [backup-simplify]: Simplify 0 into 0 1.901 * [backup-simplify]: Simplify 1 into 1 1.901 * [backup-simplify]: Simplify (* 1 1) into 1 1.902 * [backup-simplify]: Simplify (/ 1 1) into 1 1.902 * [backup-simplify]: Simplify (+ 0 1) into 1 1.902 * [backup-simplify]: Simplify (sqrt 1) into 1 1.902 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.903 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.903 * [backup-simplify]: Simplify (+ 0 0) into 0 1.903 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.903 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.903 * [taylor]: Taking taylor expansion of im in re 1.903 * [backup-simplify]: Simplify im into im 1.904 * [backup-simplify]: Simplify (+ 1 1) into 2 1.904 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.904 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 1.904 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 1.904 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 1.904 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 1.904 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.904 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.904 * [taylor]: Taking taylor expansion of re in im 1.904 * [backup-simplify]: Simplify re into re 1.904 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.904 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.904 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.904 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.904 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.904 * [taylor]: Taking taylor expansion of im in im 1.904 * [backup-simplify]: Simplify 0 into 0 1.904 * [backup-simplify]: Simplify 1 into 1 1.904 * [backup-simplify]: Simplify (* 1 1) into 1 1.905 * [backup-simplify]: Simplify (/ 1 1) into 1 1.905 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.905 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.905 * [taylor]: Taking taylor expansion of re in im 1.905 * [backup-simplify]: Simplify re into re 1.905 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.905 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.905 * [backup-simplify]: Simplify (+ 1 0) into 1 1.905 * [backup-simplify]: Simplify (sqrt 1) into 1 1.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.906 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.907 * [backup-simplify]: Simplify (+ 0 0) into 0 1.907 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.907 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.907 * [taylor]: Taking taylor expansion of im in im 1.907 * [backup-simplify]: Simplify 0 into 0 1.907 * [backup-simplify]: Simplify 1 into 1 1.907 * [backup-simplify]: Simplify (+ 0 1) into 1 1.907 * [backup-simplify]: Simplify (* 1 1) into 1 1.908 * [backup-simplify]: Simplify (* 1 1) into 1 1.908 * [backup-simplify]: Simplify (/ 1 1) into 1 1.908 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 1.908 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 1.908 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.908 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.908 * [taylor]: Taking taylor expansion of re in im 1.908 * [backup-simplify]: Simplify re into re 1.908 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.908 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.908 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.908 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.908 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.908 * [taylor]: Taking taylor expansion of im in im 1.908 * [backup-simplify]: Simplify 0 into 0 1.908 * [backup-simplify]: Simplify 1 into 1 1.908 * [backup-simplify]: Simplify (* 1 1) into 1 1.909 * [backup-simplify]: Simplify (/ 1 1) into 1 1.909 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.909 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.909 * [taylor]: Taking taylor expansion of re in im 1.909 * [backup-simplify]: Simplify re into re 1.909 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.909 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.909 * [backup-simplify]: Simplify (+ 1 0) into 1 1.909 * [backup-simplify]: Simplify (sqrt 1) into 1 1.910 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.910 * [backup-simplify]: Simplify (+ 0 0) into 0 1.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.911 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.911 * [taylor]: Taking taylor expansion of im in im 1.911 * [backup-simplify]: Simplify 0 into 0 1.911 * [backup-simplify]: Simplify 1 into 1 1.911 * [backup-simplify]: Simplify (+ 0 1) into 1 1.911 * [backup-simplify]: Simplify (* 1 1) into 1 1.911 * [backup-simplify]: Simplify (* 1 1) into 1 1.912 * [backup-simplify]: Simplify (/ 1 1) into 1 1.912 * [taylor]: Taking taylor expansion of 1 in re 1.912 * [backup-simplify]: Simplify 1 into 1 1.912 * [backup-simplify]: Simplify 0 into 0 1.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.912 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 1.912 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 1.913 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 1.913 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.913 * [taylor]: Taking taylor expansion of re in re 1.913 * [backup-simplify]: Simplify 0 into 0 1.913 * [backup-simplify]: Simplify 1 into 1 1.913 * [backup-simplify]: Simplify (/ 1 1) into 1 1.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.914 * [backup-simplify]: Simplify (- 0) into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.914 * [backup-simplify]: Simplify 0 into 0 1.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.916 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.916 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.917 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 1.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 1.917 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.917 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.917 * [taylor]: Taking taylor expansion of 1/2 in re 1.917 * [backup-simplify]: Simplify 1/2 into 1/2 1.917 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.917 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.918 * [taylor]: Taking taylor expansion of re in re 1.918 * [backup-simplify]: Simplify 0 into 0 1.918 * [backup-simplify]: Simplify 1 into 1 1.918 * [backup-simplify]: Simplify (* 1 1) into 1 1.918 * [backup-simplify]: Simplify (/ 1 1) into 1 1.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.919 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.920 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.920 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.921 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.921 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.922 * [backup-simplify]: Simplify (- 0) into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify 0 into 0 1.922 * [backup-simplify]: Simplify (* (/ 1 (- im)) (/ (/ 1 (- im)) (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) 1.923 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 1.923 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 1.923 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 1.923 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.923 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.923 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.923 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.923 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.923 * [taylor]: Taking taylor expansion of im in re 1.923 * [backup-simplify]: Simplify im into im 1.923 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.923 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.923 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.923 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.923 * [taylor]: Taking taylor expansion of re in re 1.923 * [backup-simplify]: Simplify 0 into 0 1.923 * [backup-simplify]: Simplify 1 into 1 1.923 * [backup-simplify]: Simplify (* 1 1) into 1 1.923 * [backup-simplify]: Simplify (/ 1 1) into 1 1.924 * [backup-simplify]: Simplify (+ 0 1) into 1 1.924 * [backup-simplify]: Simplify (sqrt 1) into 1 1.924 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.925 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.925 * [backup-simplify]: Simplify (+ 0 0) into 0 1.925 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.925 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.925 * [taylor]: Taking taylor expansion of re in re 1.925 * [backup-simplify]: Simplify 0 into 0 1.925 * [backup-simplify]: Simplify 1 into 1 1.926 * [backup-simplify]: Simplify (/ 1 1) into 1 1.926 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.926 * [taylor]: Taking taylor expansion of im in re 1.926 * [backup-simplify]: Simplify im into im 1.926 * [backup-simplify]: Simplify (- 1) into -1 1.926 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.926 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.926 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0 1.926 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.927 * [backup-simplify]: Simplify (- 0) into 0 1.927 * [backup-simplify]: Simplify (+ 0 0) into 0 1.927 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0 1.928 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.929 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.930 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.930 * [backup-simplify]: Simplify (- 0) into 0 1.930 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.931 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2 1.931 * [backup-simplify]: Simplify (/ 1 1/2) into 2 1.931 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 1.931 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 1.931 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.931 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.931 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.931 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.931 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.931 * [taylor]: Taking taylor expansion of im in im 1.931 * [backup-simplify]: Simplify 0 into 0 1.931 * [backup-simplify]: Simplify 1 into 1 1.932 * [backup-simplify]: Simplify (* 1 1) into 1 1.932 * [backup-simplify]: Simplify (/ 1 1) into 1 1.932 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.932 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.932 * [taylor]: Taking taylor expansion of re in im 1.932 * [backup-simplify]: Simplify re into re 1.932 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.932 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.932 * [backup-simplify]: Simplify (+ 1 0) into 1 1.933 * [backup-simplify]: Simplify (sqrt 1) into 1 1.933 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.933 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.933 * [backup-simplify]: Simplify (+ 0 0) into 0 1.934 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.934 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.934 * [taylor]: Taking taylor expansion of re in im 1.934 * [backup-simplify]: Simplify re into re 1.934 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.934 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.934 * [taylor]: Taking taylor expansion of im in im 1.934 * [backup-simplify]: Simplify 0 into 0 1.934 * [backup-simplify]: Simplify 1 into 1 1.934 * [backup-simplify]: Simplify (+ 1 0) into 1 1.935 * [backup-simplify]: Simplify (* 1 1) into 1 1.935 * [backup-simplify]: Simplify (* 1 1) into 1 1.935 * [backup-simplify]: Simplify (/ 1 1) into 1 1.935 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 1.935 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 1.935 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.935 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.935 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.935 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.935 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.935 * [taylor]: Taking taylor expansion of im in im 1.935 * [backup-simplify]: Simplify 0 into 0 1.935 * [backup-simplify]: Simplify 1 into 1 1.935 * [backup-simplify]: Simplify (* 1 1) into 1 1.936 * [backup-simplify]: Simplify (/ 1 1) into 1 1.936 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.936 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.936 * [taylor]: Taking taylor expansion of re in im 1.936 * [backup-simplify]: Simplify re into re 1.936 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.936 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.936 * [backup-simplify]: Simplify (+ 1 0) into 1 1.936 * [backup-simplify]: Simplify (sqrt 1) into 1 1.937 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.937 * [backup-simplify]: Simplify (+ 0 0) into 0 1.938 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.938 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.938 * [taylor]: Taking taylor expansion of re in im 1.938 * [backup-simplify]: Simplify re into re 1.938 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.938 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.938 * [taylor]: Taking taylor expansion of im in im 1.938 * [backup-simplify]: Simplify 0 into 0 1.938 * [backup-simplify]: Simplify 1 into 1 1.938 * [backup-simplify]: Simplify (+ 1 0) into 1 1.939 * [backup-simplify]: Simplify (* 1 1) into 1 1.939 * [backup-simplify]: Simplify (* 1 1) into 1 1.939 * [backup-simplify]: Simplify (/ 1 1) into 1 1.939 * [taylor]: Taking taylor expansion of 1 in re 1.939 * [backup-simplify]: Simplify 1 into 1 1.939 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.940 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 1.940 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 1.940 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re)) 1.940 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 1.940 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.940 * [taylor]: Taking taylor expansion of re in re 1.940 * [backup-simplify]: Simplify 0 into 0 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify (/ 1 1) into 1 1.940 * [backup-simplify]: Simplify 1 into 1 1.940 * [backup-simplify]: Simplify 1 into 1 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.941 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.942 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.942 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 1.943 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 1.943 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 1.943 * [backup-simplify]: Simplify (- 0) into 0 1.943 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 1.944 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 1.944 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 1.944 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 1.944 * [taylor]: Taking taylor expansion of 1/2 in re 1.944 * [backup-simplify]: Simplify 1/2 into 1/2 1.944 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.944 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.944 * [taylor]: Taking taylor expansion of re in re 1.944 * [backup-simplify]: Simplify 0 into 0 1.944 * [backup-simplify]: Simplify 1 into 1 1.944 * [backup-simplify]: Simplify (* 1 1) into 1 1.944 * [backup-simplify]: Simplify (/ 1 1) into 1 1.945 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.945 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.946 * [backup-simplify]: Simplify 0 into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.947 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.948 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.948 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 1.948 * [backup-simplify]: Simplify (+ 0 0) into 0 1.949 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 1.949 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 1.949 * [backup-simplify]: Simplify (- 0) into 0 1.949 * [backup-simplify]: Simplify (+ 0 0) into 0 1.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0 1.950 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 1.950 * [taylor]: Taking taylor expansion of 0 in re 1.950 * [backup-simplify]: Simplify 0 into 0 1.951 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.951 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.952 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.952 * [backup-simplify]: Simplify 0 into 0 1.952 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify 0 into 0 1.953 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 1.953 * * * [progress]: simplifying candidates 1.954 * [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 (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (exp (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (* (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt 2.0) (sqrt (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* im im))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))) (+ (log im) (- (log im) (log (+ (sqrt (+ (* re re) (* im im))) re)))) (+ (log im) (log (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (log (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (exp (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (* im im) im) (/ (* (* im im) im) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (* im im) im) (* (* (/ im (+ (sqrt (+ (* re re) (* im im))) re)) (/ im (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* (* (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))) (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt im) (sqrt (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt im) (sqrt (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt im) (/ (sqrt im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt im) (/ (sqrt im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* im (* (cbrt (/ im (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ im (+ (sqrt (+ (* re re) (* im im))) re))))) (* im (sqrt (/ im (+ (sqrt (+ (* re re) (* im im))) re)))) (* im (/ (* (cbrt im) (cbrt im)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* im (/ (* (cbrt im) (cbrt im)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* im (/ (* (cbrt im) (cbrt im)) 1)) (* im (/ (* (cbrt im) (cbrt im)) 1)) (* im (/ (sqrt im) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* im (/ (sqrt im) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* im (/ (sqrt im) 1)) (* im (/ (sqrt im) 1)) (* im (/ 1 (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))))) (* im (/ 1 (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (* im (/ 1 1)) (* im (/ 1 1)) (* im 1) (* im im) (* im (/ im (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (* im (/ im (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (* (cbrt im) (/ im (+ (sqrt (+ (* re re) (* im im))) re))) (* (sqrt im) (/ im (+ (sqrt (+ (* re re) (* im im))) re))) (* im (/ im (+ (sqrt (+ (* re re) (* im im))) re))) (* im im) im re (* -1 re) (- (+ (* +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 0 0 (- (+ re im)) 1.955 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (exp (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (* (cbrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (cbrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))) (cbrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (* (* (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (sqrt h2) (sqrt (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (* h0 h0))) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (sqrt (sqrt (* h2 (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (* (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (+ (log h0) (- (log h0) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (+ (log h0) (log (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (log (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (* h0 h0) h0) (/ (* (* h0 h0) h0) (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (* h0 h0) h0) (* (* (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (cbrt (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (sqrt h0) (sqrt (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (sqrt h0) (sqrt (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (sqrt h0) (/ (sqrt h0) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (sqrt h0) (/ (sqrt h0) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* h0 (* (cbrt (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (* h0 (sqrt (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* h0 (/ (* (cbrt h0) (cbrt h0)) (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (* h0 (/ (* (cbrt h0) (cbrt h0)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* h0 (/ (* (cbrt h0) (cbrt h0)) 1)) (* h0 (/ (* (cbrt h0) (cbrt h0)) 1)) (* h0 (/ (sqrt h0) (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (* h0 (/ (sqrt h0) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* h0 (/ (sqrt h0) 1)) (* h0 (/ (sqrt h0) 1)) (* h0 (/ 1 (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (* h0 (/ 1 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* h0 (/ 1 1)) (* h0 (/ 1 1)) (* h0 1) (* h0 h0) (* h0 (/ h0 (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) (* h0 (/ h0 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) (* (cbrt h0) (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (* (sqrt h0) (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (* h0 (/ h0 (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (* h0 h0) h0 h1 (* -1 h1) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) (* h0 h1)))) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) h0))) (- (* h3 (/ (* (sqrt h2) (pow h0 3)) (sqrt 1/2)))))))) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (+ (* h3 (/ (sqrt h2) h0)) (- (* h3 (sqrt h2))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (* (sqrt h2) h1) h0)) (- (* h3 (/ (* (sqrt h2) h1) (pow h0 2)))))))) (+ h1 h0) (* 2 h1) 0 0 0 (- (+ h1 h0)) 1.959 * * [simplify]: iteration 0 : 428 enodes (cost 701 ) 1.967 * * [simplify]: iteration 1 : 1831 enodes (cost 618 ) 2.002 * * [simplify]: iteration 2 : 5002 enodes (cost 614 ) 2.005 * * * [progress]: adding candidates to table 2.217 * * [progress]: iteration 4 / 4 2.217 * * * [progress]: picking best candidate 2.232 * * * * [pick]: Picked # 2.232 * * * [progress]: localizing error 2.246 * * * [progress]: generating rewritten candidates 2.246 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1 1) 2.256 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2 1 1) 2.263 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.402 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2 2 1) 2.432 * * * [progress]: generating series expansions 2.432 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1 1) 2.432 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.432 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.432 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.432 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.432 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.432 * [taylor]: Taking taylor expansion of re in im 2.432 * [backup-simplify]: Simplify re into re 2.432 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.432 * [taylor]: Taking taylor expansion of im in im 2.432 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify 1 into 1 2.432 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.432 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.433 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.433 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.433 * [backup-simplify]: Simplify (+ 0 0) into 0 2.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.433 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.433 * [taylor]: Taking taylor expansion of re in re 2.433 * [backup-simplify]: Simplify 0 into 0 2.433 * [backup-simplify]: Simplify 1 into 1 2.433 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.433 * [taylor]: Taking taylor expansion of im in re 2.433 * [backup-simplify]: Simplify im into im 2.433 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.433 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.434 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.434 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.434 * [backup-simplify]: Simplify (+ 0 0) into 0 2.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.434 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.434 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.434 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.434 * [taylor]: Taking taylor expansion of re in re 2.434 * [backup-simplify]: Simplify 0 into 0 2.434 * [backup-simplify]: Simplify 1 into 1 2.434 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.434 * [taylor]: Taking taylor expansion of im in re 2.434 * [backup-simplify]: Simplify im into im 2.434 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.434 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.434 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.434 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.435 * [backup-simplify]: Simplify (+ 0 0) into 0 2.435 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.435 * [taylor]: Taking taylor expansion of im in im 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 1 into 1 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [taylor]: Taking taylor expansion of 0 in im 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify 1 into 1 2.435 * [backup-simplify]: Simplify (* 1 1) into 1 2.435 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.436 * [backup-simplify]: Simplify (+ 1 0) into 1 2.436 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.436 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.436 * [taylor]: Taking taylor expansion of 1/2 in im 2.436 * [backup-simplify]: Simplify 1/2 into 1/2 2.436 * [taylor]: Taking taylor expansion of im in im 2.436 * [backup-simplify]: Simplify 0 into 0 2.436 * [backup-simplify]: Simplify 1 into 1 2.437 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 0 into 0 2.437 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.438 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.438 * [backup-simplify]: Simplify (+ 0 0) into 0 2.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.438 * [taylor]: Taking taylor expansion of 0 in im 2.438 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.439 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.439 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.439 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.439 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.439 * [taylor]: Taking taylor expansion of im in im 2.439 * [backup-simplify]: Simplify 0 into 0 2.439 * [backup-simplify]: Simplify 1 into 1 2.440 * [backup-simplify]: Simplify (* 1 1) into 1 2.440 * [backup-simplify]: Simplify (/ 1 1) into 1 2.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.440 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.440 * [taylor]: Taking taylor expansion of re in im 2.440 * [backup-simplify]: Simplify re into re 2.440 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.440 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.440 * [backup-simplify]: Simplify (+ 1 0) into 1 2.441 * [backup-simplify]: Simplify (sqrt 1) into 1 2.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.442 * [backup-simplify]: Simplify (+ 0 0) into 0 2.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.442 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.442 * [taylor]: Taking taylor expansion of im in re 2.442 * [backup-simplify]: Simplify im into im 2.442 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.442 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.442 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.442 * [taylor]: Taking taylor expansion of re in re 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 1 into 1 2.443 * [backup-simplify]: Simplify (* 1 1) into 1 2.443 * [backup-simplify]: Simplify (/ 1 1) into 1 2.443 * [backup-simplify]: Simplify (+ 0 1) into 1 2.443 * [backup-simplify]: Simplify (sqrt 1) into 1 2.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.444 * [backup-simplify]: Simplify (+ 0 0) into 0 2.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.445 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.445 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.445 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.445 * [taylor]: Taking taylor expansion of im in re 2.445 * [backup-simplify]: Simplify im into im 2.445 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.445 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.445 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.445 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.445 * [taylor]: Taking taylor expansion of re in re 2.445 * [backup-simplify]: Simplify 0 into 0 2.445 * [backup-simplify]: Simplify 1 into 1 2.445 * [backup-simplify]: Simplify (* 1 1) into 1 2.445 * [backup-simplify]: Simplify (/ 1 1) into 1 2.446 * [backup-simplify]: Simplify (+ 0 1) into 1 2.446 * [backup-simplify]: Simplify (sqrt 1) into 1 2.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.447 * [backup-simplify]: Simplify (+ 0 0) into 0 2.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.447 * [taylor]: Taking taylor expansion of 1 in im 2.447 * [backup-simplify]: Simplify 1 into 1 2.447 * [taylor]: Taking taylor expansion of 0 in im 2.448 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify 1 into 1 2.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.449 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.449 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.449 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.449 * [taylor]: Taking taylor expansion of 1/2 in im 2.449 * [backup-simplify]: Simplify 1/2 into 1/2 2.450 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.450 * [taylor]: Taking taylor expansion of im in im 2.450 * [backup-simplify]: Simplify 0 into 0 2.450 * [backup-simplify]: Simplify 1 into 1 2.450 * [backup-simplify]: Simplify (* 1 1) into 1 2.450 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.451 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.452 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.452 * [backup-simplify]: Simplify (+ 0 0) into 0 2.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.453 * [taylor]: Taking taylor expansion of 0 in im 2.453 * [backup-simplify]: Simplify 0 into 0 2.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify 0 into 0 2.454 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.454 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.454 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.454 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.455 * [taylor]: Taking taylor expansion of im in im 2.455 * [backup-simplify]: Simplify 0 into 0 2.455 * [backup-simplify]: Simplify 1 into 1 2.455 * [backup-simplify]: Simplify (* 1 1) into 1 2.455 * [backup-simplify]: Simplify (/ 1 1) into 1 2.455 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.455 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.455 * [taylor]: Taking taylor expansion of re in im 2.455 * [backup-simplify]: Simplify re into re 2.455 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.455 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.456 * [backup-simplify]: Simplify (+ 1 0) into 1 2.456 * [backup-simplify]: Simplify (sqrt 1) into 1 2.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.457 * [backup-simplify]: Simplify (+ 0 0) into 0 2.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.457 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.457 * [taylor]: Taking taylor expansion of im in re 2.457 * [backup-simplify]: Simplify im into im 2.457 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.457 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.457 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.457 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.458 * [taylor]: Taking taylor expansion of re in re 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify 1 into 1 2.458 * [backup-simplify]: Simplify (* 1 1) into 1 2.458 * [backup-simplify]: Simplify (/ 1 1) into 1 2.458 * [backup-simplify]: Simplify (+ 0 1) into 1 2.458 * [backup-simplify]: Simplify (sqrt 1) into 1 2.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.459 * [backup-simplify]: Simplify (+ 0 0) into 0 2.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.460 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.460 * [taylor]: Taking taylor expansion of im in re 2.460 * [backup-simplify]: Simplify im into im 2.460 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.460 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.460 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.460 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.460 * [taylor]: Taking taylor expansion of re in re 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (* 1 1) into 1 2.461 * [backup-simplify]: Simplify (/ 1 1) into 1 2.461 * [backup-simplify]: Simplify (+ 0 1) into 1 2.461 * [backup-simplify]: Simplify (sqrt 1) into 1 2.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.462 * [backup-simplify]: Simplify (+ 0 0) into 0 2.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.463 * [taylor]: Taking taylor expansion of 1 in im 2.463 * [backup-simplify]: Simplify 1 into 1 2.463 * [taylor]: Taking taylor expansion of 0 in im 2.463 * [backup-simplify]: Simplify 0 into 0 2.463 * [backup-simplify]: Simplify 1 into 1 2.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.464 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.465 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.465 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.465 * [taylor]: Taking taylor expansion of 1/2 in im 2.465 * [backup-simplify]: Simplify 1/2 into 1/2 2.465 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.465 * [taylor]: Taking taylor expansion of im in im 2.465 * [backup-simplify]: Simplify 0 into 0 2.465 * [backup-simplify]: Simplify 1 into 1 2.465 * [backup-simplify]: Simplify (* 1 1) into 1 2.465 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify 0 into 0 2.466 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.468 * [backup-simplify]: Simplify (+ 0 0) into 0 2.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.468 * [taylor]: Taking taylor expansion of 0 in im 2.468 * [backup-simplify]: Simplify 0 into 0 2.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify 0 into 0 2.469 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.469 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2 1 1) 2.469 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.469 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.469 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.469 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.469 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.469 * [taylor]: Taking taylor expansion of re in im 2.469 * [backup-simplify]: Simplify re into re 2.469 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.469 * [taylor]: Taking taylor expansion of im in im 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 1 into 1 2.470 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.470 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.470 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.470 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.470 * [backup-simplify]: Simplify (+ 0 0) into 0 2.470 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.470 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.470 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.470 * [taylor]: Taking taylor expansion of re in re 2.470 * [backup-simplify]: Simplify 0 into 0 2.470 * [backup-simplify]: Simplify 1 into 1 2.470 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.470 * [taylor]: Taking taylor expansion of im in re 2.470 * [backup-simplify]: Simplify im into im 2.470 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.470 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.471 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.471 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.471 * [backup-simplify]: Simplify (+ 0 0) into 0 2.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.471 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.471 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.471 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.471 * [taylor]: Taking taylor expansion of re in re 2.471 * [backup-simplify]: Simplify 0 into 0 2.471 * [backup-simplify]: Simplify 1 into 1 2.471 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.471 * [taylor]: Taking taylor expansion of im in re 2.471 * [backup-simplify]: Simplify im into im 2.471 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.471 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.471 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.471 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.472 * [backup-simplify]: Simplify (+ 0 0) into 0 2.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.472 * [taylor]: Taking taylor expansion of im in im 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 1 into 1 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [taylor]: Taking taylor expansion of 0 in im 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 0 into 0 2.472 * [backup-simplify]: Simplify 1 into 1 2.472 * [backup-simplify]: Simplify (* 1 1) into 1 2.472 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.473 * [backup-simplify]: Simplify (+ 1 0) into 1 2.473 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.473 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.473 * [taylor]: Taking taylor expansion of 1/2 in im 2.473 * [backup-simplify]: Simplify 1/2 into 1/2 2.473 * [taylor]: Taking taylor expansion of im in im 2.473 * [backup-simplify]: Simplify 0 into 0 2.473 * [backup-simplify]: Simplify 1 into 1 2.473 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.474 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.475 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.475 * [backup-simplify]: Simplify (+ 0 0) into 0 2.475 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.475 * [taylor]: Taking taylor expansion of 0 in im 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.476 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.476 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.476 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.476 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.476 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.476 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.476 * [taylor]: Taking taylor expansion of im in im 2.476 * [backup-simplify]: Simplify 0 into 0 2.476 * [backup-simplify]: Simplify 1 into 1 2.476 * [backup-simplify]: Simplify (* 1 1) into 1 2.477 * [backup-simplify]: Simplify (/ 1 1) into 1 2.477 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.477 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.477 * [taylor]: Taking taylor expansion of re in im 2.477 * [backup-simplify]: Simplify re into re 2.477 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.477 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.477 * [backup-simplify]: Simplify (+ 1 0) into 1 2.477 * [backup-simplify]: Simplify (sqrt 1) into 1 2.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.478 * [backup-simplify]: Simplify (+ 0 0) into 0 2.479 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.479 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.479 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.479 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.479 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.479 * [taylor]: Taking taylor expansion of im in re 2.479 * [backup-simplify]: Simplify im into im 2.479 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.479 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.479 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.479 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.479 * [taylor]: Taking taylor expansion of re in re 2.479 * [backup-simplify]: Simplify 0 into 0 2.479 * [backup-simplify]: Simplify 1 into 1 2.479 * [backup-simplify]: Simplify (* 1 1) into 1 2.480 * [backup-simplify]: Simplify (/ 1 1) into 1 2.480 * [backup-simplify]: Simplify (+ 0 1) into 1 2.480 * [backup-simplify]: Simplify (sqrt 1) into 1 2.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.481 * [backup-simplify]: Simplify (+ 0 0) into 0 2.481 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.482 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.482 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.482 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.482 * [taylor]: Taking taylor expansion of im in re 2.482 * [backup-simplify]: Simplify im into im 2.482 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.482 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.482 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.482 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.482 * [taylor]: Taking taylor expansion of re in re 2.482 * [backup-simplify]: Simplify 0 into 0 2.482 * [backup-simplify]: Simplify 1 into 1 2.482 * [backup-simplify]: Simplify (* 1 1) into 1 2.482 * [backup-simplify]: Simplify (/ 1 1) into 1 2.483 * [backup-simplify]: Simplify (+ 0 1) into 1 2.483 * [backup-simplify]: Simplify (sqrt 1) into 1 2.483 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.484 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.484 * [backup-simplify]: Simplify (+ 0 0) into 0 2.484 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.484 * [taylor]: Taking taylor expansion of 1 in im 2.484 * [backup-simplify]: Simplify 1 into 1 2.484 * [taylor]: Taking taylor expansion of 0 in im 2.484 * [backup-simplify]: Simplify 0 into 0 2.484 * [backup-simplify]: Simplify 1 into 1 2.485 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.485 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.486 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.486 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.486 * [taylor]: Taking taylor expansion of 1/2 in im 2.486 * [backup-simplify]: Simplify 1/2 into 1/2 2.486 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.486 * [taylor]: Taking taylor expansion of im in im 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 1 into 1 2.487 * [backup-simplify]: Simplify (* 1 1) into 1 2.487 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.487 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.488 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify 0 into 0 2.488 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.488 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.489 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.489 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.489 * [backup-simplify]: Simplify (+ 0 0) into 0 2.490 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.490 * [taylor]: Taking taylor expansion of 0 in im 2.490 * [backup-simplify]: Simplify 0 into 0 2.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.491 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.491 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.491 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.491 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.491 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.491 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.491 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.491 * [taylor]: Taking taylor expansion of im in im 2.491 * [backup-simplify]: Simplify 0 into 0 2.491 * [backup-simplify]: Simplify 1 into 1 2.491 * [backup-simplify]: Simplify (* 1 1) into 1 2.492 * [backup-simplify]: Simplify (/ 1 1) into 1 2.492 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.492 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.492 * [taylor]: Taking taylor expansion of re in im 2.492 * [backup-simplify]: Simplify re into re 2.492 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.492 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.492 * [backup-simplify]: Simplify (+ 1 0) into 1 2.492 * [backup-simplify]: Simplify (sqrt 1) into 1 2.493 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.493 * [backup-simplify]: Simplify (+ 0 0) into 0 2.494 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.494 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.494 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.494 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.494 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.494 * [taylor]: Taking taylor expansion of im in re 2.494 * [backup-simplify]: Simplify im into im 2.494 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.494 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.494 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.494 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.494 * [taylor]: Taking taylor expansion of re in re 2.494 * [backup-simplify]: Simplify 0 into 0 2.494 * [backup-simplify]: Simplify 1 into 1 2.494 * [backup-simplify]: Simplify (* 1 1) into 1 2.494 * [backup-simplify]: Simplify (/ 1 1) into 1 2.495 * [backup-simplify]: Simplify (+ 0 1) into 1 2.495 * [backup-simplify]: Simplify (sqrt 1) into 1 2.495 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.496 * [backup-simplify]: Simplify (+ 0 0) into 0 2.496 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.496 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.496 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.496 * [taylor]: Taking taylor expansion of im in re 2.496 * [backup-simplify]: Simplify im into im 2.496 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.497 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.497 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.497 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.497 * [taylor]: Taking taylor expansion of re in re 2.497 * [backup-simplify]: Simplify 0 into 0 2.497 * [backup-simplify]: Simplify 1 into 1 2.497 * [backup-simplify]: Simplify (* 1 1) into 1 2.497 * [backup-simplify]: Simplify (/ 1 1) into 1 2.497 * [backup-simplify]: Simplify (+ 0 1) into 1 2.498 * [backup-simplify]: Simplify (sqrt 1) into 1 2.498 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.498 * [backup-simplify]: Simplify (+ 0 0) into 0 2.499 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.499 * [taylor]: Taking taylor expansion of 1 in im 2.499 * [backup-simplify]: Simplify 1 into 1 2.499 * [taylor]: Taking taylor expansion of 0 in im 2.499 * [backup-simplify]: Simplify 0 into 0 2.499 * [backup-simplify]: Simplify 1 into 1 2.500 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.500 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.501 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.501 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.501 * [taylor]: Taking taylor expansion of 1/2 in im 2.501 * [backup-simplify]: Simplify 1/2 into 1/2 2.501 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.501 * [taylor]: Taking taylor expansion of im in im 2.501 * [backup-simplify]: Simplify 0 into 0 2.501 * [backup-simplify]: Simplify 1 into 1 2.501 * [backup-simplify]: Simplify (* 1 1) into 1 2.502 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.503 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify 0 into 0 2.503 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.503 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.504 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.504 * [backup-simplify]: Simplify (+ 0 0) into 0 2.505 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.505 * [taylor]: Taking taylor expansion of 0 in im 2.505 * [backup-simplify]: Simplify 0 into 0 2.505 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.506 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify 0 into 0 2.506 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.506 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.507 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) 2.507 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 2.507 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 2.507 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 2.507 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.507 * [taylor]: Taking taylor expansion of 2.0 in re 2.507 * [backup-simplify]: Simplify 2.0 into 2.0 2.507 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.507 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.507 * [taylor]: Taking taylor expansion of im in re 2.507 * [backup-simplify]: Simplify im into im 2.507 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 2.507 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 2.507 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.507 * [taylor]: Taking taylor expansion of re in re 2.507 * [backup-simplify]: Simplify 0 into 0 2.507 * [backup-simplify]: Simplify 1 into 1 2.507 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.507 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.507 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.508 * [taylor]: Taking taylor expansion of re in re 2.508 * [backup-simplify]: Simplify 0 into 0 2.508 * [backup-simplify]: Simplify 1 into 1 2.508 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.508 * [taylor]: Taking taylor expansion of im in re 2.508 * [backup-simplify]: Simplify im into im 2.508 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.508 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.508 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.508 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.508 * [backup-simplify]: Simplify (+ 0 0) into 0 2.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.508 * [backup-simplify]: Simplify (+ 0 im) into im 2.508 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.508 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 2.509 * [backup-simplify]: Simplify (+ 1 0) into 1 2.509 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 2.509 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 2.509 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 2.509 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.509 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.509 * [taylor]: Taking taylor expansion of 2.0 in im 2.509 * [backup-simplify]: Simplify 2.0 into 2.0 2.509 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.510 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.510 * [taylor]: Taking taylor expansion of im in im 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 2.510 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.510 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.510 * [taylor]: Taking taylor expansion of re in im 2.510 * [backup-simplify]: Simplify re into re 2.510 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.510 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.510 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.510 * [taylor]: Taking taylor expansion of re in im 2.510 * [backup-simplify]: Simplify re into re 2.510 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.510 * [taylor]: Taking taylor expansion of im in im 2.510 * [backup-simplify]: Simplify 0 into 0 2.510 * [backup-simplify]: Simplify 1 into 1 2.510 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.510 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.510 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.510 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.510 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.511 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.511 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 2.511 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 2.511 * [backup-simplify]: Simplify (+ 0 0) into 0 2.511 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 2.511 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 2.511 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 2.511 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.511 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.511 * [taylor]: Taking taylor expansion of 2.0 in im 2.511 * [backup-simplify]: Simplify 2.0 into 2.0 2.511 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.512 * [taylor]: Taking taylor expansion of im in im 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 1 into 1 2.512 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 2.512 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.512 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.512 * [taylor]: Taking taylor expansion of re in im 2.512 * [backup-simplify]: Simplify re into re 2.512 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.512 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.512 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.512 * [taylor]: Taking taylor expansion of re in im 2.512 * [backup-simplify]: Simplify re into re 2.512 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.512 * [taylor]: Taking taylor expansion of im in im 2.512 * [backup-simplify]: Simplify 0 into 0 2.512 * [backup-simplify]: Simplify 1 into 1 2.512 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.512 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.512 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.512 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.515 * [backup-simplify]: Simplify (+ 0 0) into 0 2.515 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.515 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.515 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 2.515 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 2.516 * [backup-simplify]: Simplify (+ 0 0) into 0 2.516 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 2.516 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 2.516 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.517 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 2.517 * [taylor]: Taking taylor expansion of 0 in re 2.517 * [backup-simplify]: Simplify 0 into 0 2.517 * [backup-simplify]: Simplify 0 into 0 2.518 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 2.519 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 2.519 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 2.519 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 2.519 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.519 * [taylor]: Taking taylor expansion of 2.0 in re 2.519 * [backup-simplify]: Simplify 2.0 into 2.0 2.519 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.519 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 2.519 * [taylor]: Taking taylor expansion of 1/2 in re 2.519 * [backup-simplify]: Simplify 1/2 into 1/2 2.520 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.520 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.520 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 2.520 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.520 * [taylor]: Taking taylor expansion of re in re 2.520 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [backup-simplify]: Simplify (/ 1 1) into 1 2.521 * [backup-simplify]: Simplify (sqrt 0) into 0 2.521 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.522 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 2.523 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 2.525 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.527 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.528 * [backup-simplify]: Simplify (* 1 1) into 1 2.528 * [backup-simplify]: Simplify (+ 0 1) into 1 2.528 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.528 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 2.528 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 2.529 * [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)))) 2.530 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.531 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 2.532 * [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 2.532 * [taylor]: Taking taylor expansion of 0 in re 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify 0 into 0 2.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.534 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.535 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 2.535 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.536 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 2.538 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.540 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.540 * [backup-simplify]: Simplify 0 into 0 2.541 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.541 * [backup-simplify]: Simplify (+ 0 0) into 0 2.541 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.541 * [backup-simplify]: Simplify (+ 0 0) into 0 2.542 * [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 2.543 * [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 2.543 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.544 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.546 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* -1/16 (* (sqrt (/ 1 (pow re 5))) (/ 1 (sqrt 1/2))))) (+ (* 0 0) (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2)))))) into (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) 2.546 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 2.546 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 2.546 * [taylor]: Taking taylor expansion of 1/16 in re 2.546 * [backup-simplify]: Simplify 1/16 into 1/16 2.546 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 2.546 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 2.546 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.546 * [taylor]: Taking taylor expansion of 2.0 in re 2.546 * [backup-simplify]: Simplify 2.0 into 2.0 2.546 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.547 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 2.547 * [taylor]: Taking taylor expansion of 1/2 in re 2.547 * [backup-simplify]: Simplify 1/2 into 1/2 2.547 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.548 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 2.548 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 2.548 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 2.548 * [taylor]: Taking taylor expansion of (pow re 5) in re 2.548 * [taylor]: Taking taylor expansion of re in re 2.548 * [backup-simplify]: Simplify 0 into 0 2.548 * [backup-simplify]: Simplify 1 into 1 2.548 * [backup-simplify]: Simplify (* 1 1) into 1 2.549 * [backup-simplify]: Simplify (* 1 1) into 1 2.549 * [backup-simplify]: Simplify (* 1 1) into 1 2.549 * [backup-simplify]: Simplify (/ 1 1) into 1 2.549 * [backup-simplify]: Simplify (sqrt 0) into 0 2.550 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.551 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.551 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.552 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.552 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.553 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.553 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.554 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.555 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.558 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 2.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.559 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 2.560 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 2.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.562 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 2.562 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 2.565 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.567 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.569 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.570 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 2.574 * [backup-simplify]: Simplify (+ (* 1/16 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) (* 0 0)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.576 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.578 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.584 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) (pow (* 1 im) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* re im)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) (* 1 im)))) into (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) (* im re)))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 1/2) im))) (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 3)) (sqrt 1/2)))))))) 2.584 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ (/ 1 im) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) (/ (/ 1 im) (sqrt (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 2.584 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 2.584 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 2.584 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.584 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.584 * [taylor]: Taking taylor expansion of 2.0 in re 2.584 * [backup-simplify]: Simplify 2.0 into 2.0 2.585 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.585 * [taylor]: Taking taylor expansion of im in re 2.585 * [backup-simplify]: Simplify im into im 2.585 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.585 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 2.585 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.585 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.585 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.585 * [taylor]: Taking taylor expansion of re in re 2.585 * [backup-simplify]: Simplify 0 into 0 2.585 * [backup-simplify]: Simplify 1 into 1 2.586 * [backup-simplify]: Simplify (/ 1 1) into 1 2.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.586 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.586 * [taylor]: Taking taylor expansion of im in re 2.586 * [backup-simplify]: Simplify im into im 2.586 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.586 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.586 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.586 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.586 * [taylor]: Taking taylor expansion of re in re 2.586 * [backup-simplify]: Simplify 0 into 0 2.586 * [backup-simplify]: Simplify 1 into 1 2.586 * [backup-simplify]: Simplify (* 1 1) into 1 2.586 * [backup-simplify]: Simplify (/ 1 1) into 1 2.587 * [backup-simplify]: Simplify (+ 0 1) into 1 2.587 * [backup-simplify]: Simplify (sqrt 1) into 1 2.587 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.588 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.588 * [backup-simplify]: Simplify (+ 0 0) into 0 2.588 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.588 * [backup-simplify]: Simplify (+ 1 1) into 2 2.589 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.589 * [backup-simplify]: Simplify (sqrt 0) into 0 2.590 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 2.590 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.590 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.590 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.590 * [taylor]: Taking taylor expansion of 2.0 in im 2.590 * [backup-simplify]: Simplify 2.0 into 2.0 2.590 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.590 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.590 * [taylor]: Taking taylor expansion of im in im 2.590 * [backup-simplify]: Simplify 0 into 0 2.590 * [backup-simplify]: Simplify 1 into 1 2.591 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.591 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.591 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.591 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.591 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.591 * [taylor]: Taking taylor expansion of re in im 2.591 * [backup-simplify]: Simplify re into re 2.591 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.591 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.591 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.591 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.591 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.591 * [taylor]: Taking taylor expansion of im in im 2.591 * [backup-simplify]: Simplify 0 into 0 2.591 * [backup-simplify]: Simplify 1 into 1 2.591 * [backup-simplify]: Simplify (* 1 1) into 1 2.592 * [backup-simplify]: Simplify (/ 1 1) into 1 2.592 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.592 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.592 * [taylor]: Taking taylor expansion of re in im 2.592 * [backup-simplify]: Simplify re into re 2.592 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.592 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.592 * [backup-simplify]: Simplify (+ 1 0) into 1 2.592 * [backup-simplify]: Simplify (sqrt 1) into 1 2.593 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.593 * [backup-simplify]: Simplify (+ 0 0) into 0 2.594 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.594 * [backup-simplify]: Simplify (+ 0 1) into 1 2.594 * [backup-simplify]: Simplify (/ 1 1) into 1 2.594 * [backup-simplify]: Simplify (sqrt 0) into 0 2.595 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.595 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.595 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.595 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.595 * [taylor]: Taking taylor expansion of 2.0 in im 2.595 * [backup-simplify]: Simplify 2.0 into 2.0 2.596 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.596 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.596 * [taylor]: Taking taylor expansion of im in im 2.596 * [backup-simplify]: Simplify 0 into 0 2.596 * [backup-simplify]: Simplify 1 into 1 2.597 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.597 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.597 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.597 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.597 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.597 * [taylor]: Taking taylor expansion of re in im 2.597 * [backup-simplify]: Simplify re into re 2.597 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.597 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.597 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.597 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.597 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.597 * [taylor]: Taking taylor expansion of im in im 2.597 * [backup-simplify]: Simplify 0 into 0 2.597 * [backup-simplify]: Simplify 1 into 1 2.597 * [backup-simplify]: Simplify (* 1 1) into 1 2.598 * [backup-simplify]: Simplify (/ 1 1) into 1 2.598 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.598 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.598 * [taylor]: Taking taylor expansion of re in im 2.598 * [backup-simplify]: Simplify re into re 2.598 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.598 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.598 * [backup-simplify]: Simplify (+ 1 0) into 1 2.598 * [backup-simplify]: Simplify (sqrt 1) into 1 2.599 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.599 * [backup-simplify]: Simplify (+ 0 0) into 0 2.600 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.600 * [backup-simplify]: Simplify (+ 0 1) into 1 2.600 * [backup-simplify]: Simplify (/ 1 1) into 1 2.600 * [backup-simplify]: Simplify (sqrt 0) into 0 2.604 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.604 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.604 * [taylor]: Taking taylor expansion of 0 in re 2.604 * [backup-simplify]: Simplify 0 into 0 2.604 * [backup-simplify]: Simplify 0 into 0 2.605 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.606 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.606 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.606 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.606 * [taylor]: Taking taylor expansion of +nan.0 in re 2.606 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.606 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.606 * [taylor]: Taking taylor expansion of 2.0 in re 2.606 * [backup-simplify]: Simplify 2.0 into 2.0 2.607 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.608 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.608 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.609 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 2.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 2.610 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 2.611 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.611 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.612 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 2.612 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.612 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.612 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.612 * [taylor]: Taking taylor expansion of +nan.0 in re 2.612 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.613 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.613 * [taylor]: Taking taylor expansion of 2.0 in re 2.613 * [backup-simplify]: Simplify 2.0 into 2.0 2.613 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.613 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.613 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.613 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.613 * [taylor]: Taking taylor expansion of +nan.0 in re 2.613 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.613 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.613 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.613 * [taylor]: Taking taylor expansion of 2.0 in re 2.613 * [backup-simplify]: Simplify 2.0 into 2.0 2.614 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.614 * [taylor]: Taking taylor expansion of re in re 2.614 * [backup-simplify]: Simplify 0 into 0 2.614 * [backup-simplify]: Simplify 1 into 1 2.615 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.615 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.616 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.616 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.616 * [backup-simplify]: Simplify (- 0) into 0 2.617 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.618 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.619 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.620 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.620 * [backup-simplify]: Simplify (- 0) into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify 0 into 0 2.620 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.621 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.621 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.621 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.622 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.622 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 2.622 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.623 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 2.624 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.624 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.626 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 2.626 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.626 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.626 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.626 * [taylor]: Taking taylor expansion of +nan.0 in re 2.626 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.626 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.626 * [taylor]: Taking taylor expansion of 2.0 in re 2.626 * [backup-simplify]: Simplify 2.0 into 2.0 2.626 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.626 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.626 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.626 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.626 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.627 * [taylor]: Taking taylor expansion of +nan.0 in re 2.627 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.627 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.627 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.627 * [taylor]: Taking taylor expansion of 2.0 in re 2.627 * [backup-simplify]: Simplify 2.0 into 2.0 2.627 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.627 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.627 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.627 * [taylor]: Taking taylor expansion of re in re 2.627 * [backup-simplify]: Simplify 0 into 0 2.627 * [backup-simplify]: Simplify 1 into 1 2.628 * [backup-simplify]: Simplify (* 1 1) into 1 2.628 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.628 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.628 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.628 * [taylor]: Taking taylor expansion of +nan.0 in re 2.628 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.628 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.628 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.628 * [taylor]: Taking taylor expansion of 2.0 in re 2.628 * [backup-simplify]: Simplify 2.0 into 2.0 2.628 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.629 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.629 * [taylor]: Taking taylor expansion of re in re 2.629 * [backup-simplify]: Simplify 0 into 0 2.629 * [backup-simplify]: Simplify 1 into 1 2.629 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.630 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.630 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.631 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.631 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.632 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.633 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.634 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.634 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.634 * [backup-simplify]: Simplify (- 0) into 0 2.635 * [backup-simplify]: Simplify (+ 0 0) into 0 2.635 * [backup-simplify]: Simplify (- 0) into 0 2.636 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.637 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.638 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.641 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 im)) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 im))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 2.642 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (/ (/ 1 (- im)) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) (/ (/ 1 (- im)) (sqrt (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 2.642 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 2.642 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 2.642 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.642 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.642 * [taylor]: Taking taylor expansion of 2.0 in re 2.642 * [backup-simplify]: Simplify 2.0 into 2.0 2.642 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.642 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.642 * [taylor]: Taking taylor expansion of im in re 2.642 * [backup-simplify]: Simplify im into im 2.643 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.643 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 2.643 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 2.643 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.643 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.643 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.643 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.643 * [taylor]: Taking taylor expansion of im in re 2.643 * [backup-simplify]: Simplify im into im 2.643 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.643 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.643 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.643 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.643 * [taylor]: Taking taylor expansion of re in re 2.643 * [backup-simplify]: Simplify 0 into 0 2.643 * [backup-simplify]: Simplify 1 into 1 2.643 * [backup-simplify]: Simplify (* 1 1) into 1 2.644 * [backup-simplify]: Simplify (/ 1 1) into 1 2.644 * [backup-simplify]: Simplify (+ 0 1) into 1 2.644 * [backup-simplify]: Simplify (sqrt 1) into 1 2.644 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.645 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.645 * [backup-simplify]: Simplify (+ 0 0) into 0 2.645 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.645 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.645 * [taylor]: Taking taylor expansion of re in re 2.645 * [backup-simplify]: Simplify 0 into 0 2.646 * [backup-simplify]: Simplify 1 into 1 2.646 * [backup-simplify]: Simplify (/ 1 1) into 1 2.646 * [backup-simplify]: Simplify (- 1) into -1 2.646 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.647 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.647 * [backup-simplify]: Simplify (- 0) into 0 2.647 * [backup-simplify]: Simplify (+ 0 0) into 0 2.647 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.648 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.648 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.649 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.649 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.650 * [backup-simplify]: Simplify (- 0) into 0 2.650 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.650 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 2.650 * [backup-simplify]: Simplify (sqrt 0) into 0 2.651 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 2.651 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.651 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.651 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.651 * [taylor]: Taking taylor expansion of 2.0 in im 2.651 * [backup-simplify]: Simplify 2.0 into 2.0 2.651 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.651 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.651 * [taylor]: Taking taylor expansion of im in im 2.651 * [backup-simplify]: Simplify 0 into 0 2.651 * [backup-simplify]: Simplify 1 into 1 2.652 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.652 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.652 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.652 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.652 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.652 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.652 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.652 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.652 * [taylor]: Taking taylor expansion of im in im 2.652 * [backup-simplify]: Simplify 0 into 0 2.652 * [backup-simplify]: Simplify 1 into 1 2.652 * [backup-simplify]: Simplify (* 1 1) into 1 2.653 * [backup-simplify]: Simplify (/ 1 1) into 1 2.653 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.653 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.653 * [taylor]: Taking taylor expansion of re in im 2.653 * [backup-simplify]: Simplify re into re 2.653 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.653 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.653 * [backup-simplify]: Simplify (+ 1 0) into 1 2.653 * [backup-simplify]: Simplify (sqrt 1) into 1 2.654 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.654 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.654 * [backup-simplify]: Simplify (+ 0 0) into 0 2.655 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.655 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.655 * [taylor]: Taking taylor expansion of re in im 2.655 * [backup-simplify]: Simplify re into re 2.655 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.655 * [backup-simplify]: Simplify (+ 1 0) into 1 2.655 * [backup-simplify]: Simplify (/ 1 1) into 1 2.655 * [backup-simplify]: Simplify (sqrt 0) into 0 2.656 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.656 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.657 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.657 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.657 * [taylor]: Taking taylor expansion of 2.0 in im 2.657 * [backup-simplify]: Simplify 2.0 into 2.0 2.657 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.657 * [taylor]: Taking taylor expansion of im in im 2.657 * [backup-simplify]: Simplify 0 into 0 2.657 * [backup-simplify]: Simplify 1 into 1 2.658 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.658 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.658 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.658 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.658 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.658 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.658 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.658 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.658 * [taylor]: Taking taylor expansion of im in im 2.658 * [backup-simplify]: Simplify 0 into 0 2.658 * [backup-simplify]: Simplify 1 into 1 2.658 * [backup-simplify]: Simplify (* 1 1) into 1 2.658 * [backup-simplify]: Simplify (/ 1 1) into 1 2.658 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.659 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.659 * [taylor]: Taking taylor expansion of re in im 2.659 * [backup-simplify]: Simplify re into re 2.659 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.659 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.659 * [backup-simplify]: Simplify (+ 1 0) into 1 2.659 * [backup-simplify]: Simplify (sqrt 1) into 1 2.660 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.660 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.660 * [backup-simplify]: Simplify (+ 0 0) into 0 2.661 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.661 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.661 * [taylor]: Taking taylor expansion of re in im 2.661 * [backup-simplify]: Simplify re into re 2.661 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.661 * [backup-simplify]: Simplify (+ 1 0) into 1 2.661 * [backup-simplify]: Simplify (/ 1 1) into 1 2.661 * [backup-simplify]: Simplify (sqrt 0) into 0 2.662 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.662 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.662 * [taylor]: Taking taylor expansion of 0 in re 2.662 * [backup-simplify]: Simplify 0 into 0 2.663 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.664 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.664 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.664 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.664 * [taylor]: Taking taylor expansion of +nan.0 in re 2.664 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.664 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.664 * [taylor]: Taking taylor expansion of 2.0 in re 2.664 * [backup-simplify]: Simplify 2.0 into 2.0 2.664 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.665 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.665 * [backup-simplify]: Simplify 0 into 0 2.665 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 2.665 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 2.665 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 2.666 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 2.666 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.668 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 2.668 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.668 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.668 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.668 * [taylor]: Taking taylor expansion of +nan.0 in re 2.668 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.668 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.668 * [taylor]: Taking taylor expansion of 2.0 in re 2.668 * [backup-simplify]: Simplify 2.0 into 2.0 2.668 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.669 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.669 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.669 * [taylor]: Taking taylor expansion of +nan.0 in re 2.669 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.669 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.669 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.669 * [taylor]: Taking taylor expansion of 2.0 in re 2.669 * [backup-simplify]: Simplify 2.0 into 2.0 2.669 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.669 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.669 * [taylor]: Taking taylor expansion of re in re 2.669 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 1 into 1 2.670 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.671 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.671 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.673 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.674 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.675 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.675 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.676 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.677 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.677 * [backup-simplify]: Simplify 0 into 0 2.678 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.678 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.678 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.679 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.679 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.679 * [backup-simplify]: Simplify (- 0) into 0 2.680 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 2.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.680 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 2.681 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.682 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.683 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 2.683 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 2.683 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 2.683 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.683 * [taylor]: Taking taylor expansion of +nan.0 in re 2.683 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.683 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.683 * [taylor]: Taking taylor expansion of 2.0 in re 2.683 * [backup-simplify]: Simplify 2.0 into 2.0 2.683 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.684 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.684 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.684 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.684 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.684 * [taylor]: Taking taylor expansion of +nan.0 in re 2.684 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.684 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.684 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.684 * [taylor]: Taking taylor expansion of 2.0 in re 2.684 * [backup-simplify]: Simplify 2.0 into 2.0 2.684 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.685 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.685 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.685 * [taylor]: Taking taylor expansion of re in re 2.685 * [backup-simplify]: Simplify 0 into 0 2.685 * [backup-simplify]: Simplify 1 into 1 2.685 * [backup-simplify]: Simplify (* 1 1) into 1 2.685 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.685 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.685 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.686 * [taylor]: Taking taylor expansion of +nan.0 in re 2.686 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.686 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.686 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.686 * [taylor]: Taking taylor expansion of 2.0 in re 2.686 * [backup-simplify]: Simplify 2.0 into 2.0 2.686 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.686 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.686 * [taylor]: Taking taylor expansion of re in re 2.686 * [backup-simplify]: Simplify 0 into 0 2.686 * [backup-simplify]: Simplify 1 into 1 2.687 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.687 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.688 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.688 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.689 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.690 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.691 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.692 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.699 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.701 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.702 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.704 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (pow (/ 1 (- im)) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 (- re))) (/ 1 (- im)))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 2.705 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2 2 1) 2.705 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 2.705 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 2.705 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.705 * [taylor]: Taking taylor expansion of re in im 2.705 * [backup-simplify]: Simplify re into re 2.705 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.705 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.705 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.705 * [taylor]: Taking taylor expansion of re in im 2.705 * [backup-simplify]: Simplify re into re 2.705 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.705 * [taylor]: Taking taylor expansion of im in im 2.705 * [backup-simplify]: Simplify 0 into 0 2.705 * [backup-simplify]: Simplify 1 into 1 2.705 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.705 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.705 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.705 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.706 * [backup-simplify]: Simplify (+ 0 0) into 0 2.706 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.706 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.706 * [taylor]: Taking taylor expansion of re in re 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify 1 into 1 2.706 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.706 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.706 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.706 * [taylor]: Taking taylor expansion of re in re 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify 1 into 1 2.706 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.706 * [taylor]: Taking taylor expansion of im in re 2.706 * [backup-simplify]: Simplify im into im 2.706 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.706 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.706 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.706 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.707 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.707 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.707 * [taylor]: Taking taylor expansion of re in re 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 1 into 1 2.707 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.707 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.707 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.707 * [taylor]: Taking taylor expansion of re in re 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 1 into 1 2.707 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.707 * [taylor]: Taking taylor expansion of im in re 2.707 * [backup-simplify]: Simplify im into im 2.707 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.707 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.707 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.707 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.707 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.708 * [backup-simplify]: Simplify (+ 0 im) into im 2.708 * [taylor]: Taking taylor expansion of im in im 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify (+ 1 0) into 1 2.708 * [taylor]: Taking taylor expansion of 1 in im 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify (* 1 1) into 1 2.708 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.709 * [backup-simplify]: Simplify (+ 1 0) into 1 2.709 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.709 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 2.709 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.709 * [taylor]: Taking taylor expansion of 1/2 in im 2.709 * [backup-simplify]: Simplify 1/2 into 1/2 2.709 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.709 * [taylor]: Taking taylor expansion of im in im 2.709 * [backup-simplify]: Simplify 0 into 0 2.709 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (/ 1 1) into 1 2.710 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.710 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.711 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.711 * [backup-simplify]: Simplify (+ 0 0) into 0 2.712 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.712 * [backup-simplify]: Simplify (+ 0 0) into 0 2.712 * [taylor]: Taking taylor expansion of 0 in im 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.713 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 2.713 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2.713 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.713 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.713 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.713 * [taylor]: Taking taylor expansion of re in im 2.713 * [backup-simplify]: Simplify re into re 2.713 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.713 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.713 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.713 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.713 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.713 * [taylor]: Taking taylor expansion of im in im 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 1 into 1 2.714 * [backup-simplify]: Simplify (* 1 1) into 1 2.714 * [backup-simplify]: Simplify (/ 1 1) into 1 2.714 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.714 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.714 * [taylor]: Taking taylor expansion of re in im 2.714 * [backup-simplify]: Simplify re into re 2.714 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.714 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.714 * [backup-simplify]: Simplify (+ 1 0) into 1 2.715 * [backup-simplify]: Simplify (sqrt 1) into 1 2.715 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.715 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.716 * [backup-simplify]: Simplify (+ 0 0) into 0 2.716 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.716 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.716 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.716 * [taylor]: Taking taylor expansion of re in re 2.716 * [backup-simplify]: Simplify 0 into 0 2.716 * [backup-simplify]: Simplify 1 into 1 2.716 * [backup-simplify]: Simplify (/ 1 1) into 1 2.716 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.716 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.716 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.716 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.716 * [taylor]: Taking taylor expansion of im in re 2.716 * [backup-simplify]: Simplify im into im 2.716 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.717 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.717 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.717 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.717 * [taylor]: Taking taylor expansion of re in re 2.717 * [backup-simplify]: Simplify 0 into 0 2.717 * [backup-simplify]: Simplify 1 into 1 2.717 * [backup-simplify]: Simplify (* 1 1) into 1 2.717 * [backup-simplify]: Simplify (/ 1 1) into 1 2.717 * [backup-simplify]: Simplify (+ 0 1) into 1 2.718 * [backup-simplify]: Simplify (sqrt 1) into 1 2.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (+ 0 0) into 0 2.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.719 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.719 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.719 * [taylor]: Taking taylor expansion of re in re 2.719 * [backup-simplify]: Simplify 0 into 0 2.719 * [backup-simplify]: Simplify 1 into 1 2.719 * [backup-simplify]: Simplify (/ 1 1) into 1 2.719 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.719 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.719 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.719 * [taylor]: Taking taylor expansion of im in re 2.719 * [backup-simplify]: Simplify im into im 2.719 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.719 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.720 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.720 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.720 * [taylor]: Taking taylor expansion of re in re 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 1 into 1 2.720 * [backup-simplify]: Simplify (* 1 1) into 1 2.720 * [backup-simplify]: Simplify (/ 1 1) into 1 2.720 * [backup-simplify]: Simplify (+ 0 1) into 1 2.720 * [backup-simplify]: Simplify (sqrt 1) into 1 2.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.721 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.721 * [backup-simplify]: Simplify (+ 0 0) into 0 2.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.722 * [backup-simplify]: Simplify (+ 1 1) into 2 2.722 * [taylor]: Taking taylor expansion of 2 in im 2.722 * [backup-simplify]: Simplify 2 into 2 2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.723 * [backup-simplify]: Simplify (+ 0 0) into 0 2.723 * [taylor]: Taking taylor expansion of 0 in im 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 2 into 2 2.723 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.724 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.725 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.725 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.726 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.726 * [taylor]: Taking taylor expansion of 1/2 in im 2.726 * [backup-simplify]: Simplify 1/2 into 1/2 2.726 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.726 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.726 * [taylor]: Taking taylor expansion of im in im 2.726 * [backup-simplify]: Simplify 0 into 0 2.726 * [backup-simplify]: Simplify 1 into 1 2.726 * [backup-simplify]: Simplify (* 1 1) into 1 2.726 * [backup-simplify]: Simplify (/ 1 1) into 1 2.726 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.727 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.727 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.727 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.728 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.728 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.729 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.729 * [backup-simplify]: Simplify (+ 0 0) into 0 2.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.730 * [backup-simplify]: Simplify (+ 0 0) into 0 2.730 * [taylor]: Taking taylor expansion of 0 in im 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.731 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.731 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.731 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 2.732 * [backup-simplify]: Simplify (+ (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 2.732 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.732 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.732 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.732 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.732 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.732 * [taylor]: Taking taylor expansion of im in im 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 1 into 1 2.732 * [backup-simplify]: Simplify (* 1 1) into 1 2.732 * [backup-simplify]: Simplify (/ 1 1) into 1 2.732 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.732 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.732 * [taylor]: Taking taylor expansion of re in im 2.733 * [backup-simplify]: Simplify re into re 2.733 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.733 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.733 * [backup-simplify]: Simplify (+ 1 0) into 1 2.733 * [backup-simplify]: Simplify (sqrt 1) into 1 2.733 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.734 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.734 * [backup-simplify]: Simplify (+ 0 0) into 0 2.734 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.735 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.735 * [taylor]: Taking taylor expansion of re in im 2.735 * [backup-simplify]: Simplify re into re 2.735 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.735 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.735 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.735 * [taylor]: Taking taylor expansion of im in re 2.735 * [backup-simplify]: Simplify im into im 2.735 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.735 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.735 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.735 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.735 * [taylor]: Taking taylor expansion of re in re 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.735 * [backup-simplify]: Simplify (* 1 1) into 1 2.735 * [backup-simplify]: Simplify (/ 1 1) into 1 2.736 * [backup-simplify]: Simplify (+ 0 1) into 1 2.736 * [backup-simplify]: Simplify (sqrt 1) into 1 2.736 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.737 * [backup-simplify]: Simplify (+ 0 0) into 0 2.737 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.737 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.737 * [taylor]: Taking taylor expansion of re in re 2.737 * [backup-simplify]: Simplify 0 into 0 2.737 * [backup-simplify]: Simplify 1 into 1 2.737 * [backup-simplify]: Simplify (/ 1 1) into 1 2.738 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.738 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.738 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.738 * [taylor]: Taking taylor expansion of im in re 2.738 * [backup-simplify]: Simplify im into im 2.738 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.738 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.738 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.738 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.738 * [taylor]: Taking taylor expansion of re in re 2.738 * [backup-simplify]: Simplify 0 into 0 2.738 * [backup-simplify]: Simplify 1 into 1 2.738 * [backup-simplify]: Simplify (* 1 1) into 1 2.738 * [backup-simplify]: Simplify (/ 1 1) into 1 2.739 * [backup-simplify]: Simplify (+ 0 1) into 1 2.739 * [backup-simplify]: Simplify (sqrt 1) into 1 2.739 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.739 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.740 * [backup-simplify]: Simplify (+ 0 0) into 0 2.740 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.740 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.740 * [taylor]: Taking taylor expansion of re in re 2.740 * [backup-simplify]: Simplify 0 into 0 2.740 * [backup-simplify]: Simplify 1 into 1 2.740 * [backup-simplify]: Simplify (/ 1 1) into 1 2.741 * [backup-simplify]: Simplify (- 1) into -1 2.741 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.741 * [taylor]: Taking taylor expansion of 0 in im 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.742 * [backup-simplify]: Simplify (- 0) into 0 2.742 * [backup-simplify]: Simplify (+ 0 0) into 0 2.742 * [taylor]: Taking taylor expansion of 0 in im 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify 0 into 0 2.742 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.744 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.744 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.745 * [backup-simplify]: Simplify (- 0) into 0 2.745 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.745 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.745 * [taylor]: Taking taylor expansion of 1/2 in im 2.745 * [backup-simplify]: Simplify 1/2 into 1/2 2.745 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.745 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.745 * [taylor]: Taking taylor expansion of im in im 2.745 * [backup-simplify]: Simplify 0 into 0 2.745 * [backup-simplify]: Simplify 1 into 1 2.745 * [backup-simplify]: Simplify (* 1 1) into 1 2.745 * [backup-simplify]: Simplify (/ 1 1) into 1 2.746 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.746 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.746 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.747 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.747 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.748 * [backup-simplify]: Simplify (+ 0 0) into 0 2.748 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (- 0) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.749 * [taylor]: Taking taylor expansion of 0 in im 2.749 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.750 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * * * [progress]: simplifying candidates 2.752 * [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)))) (log (sqrt (* 2.0 (* (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (exp (sqrt (* 2.0 (* (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (cbrt (sqrt (* 2.0 (* (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* 2.0 (* (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))))) (cbrt (sqrt (* 2.0 (* (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (* (sqrt (* 2.0 (* (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* 2.0 (* (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (* 2.0 (* (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (sqrt 2.0) (sqrt (* (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (* im im))) (sqrt (* (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) im))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (* im (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (sqrt (sqrt (* 2.0 (* (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))) (/ im (sqrt (+ (sqrt (+ (* re re) (* im im))) re))))))) (* (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (* (* (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re)) (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (- (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) im re (* -1 re) im re (* -1 re) (- (+ (* +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 2.752 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (* h2 (* (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))) (exp (sqrt (* h2 (* (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))) (* (cbrt (sqrt (* h2 (* (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))) (cbrt (sqrt (* h2 (* (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))))) (cbrt (sqrt (* h2 (* (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))) (* (* (sqrt (* h2 (* (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (sqrt (* h2 (* (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))) (sqrt (* h2 (* (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))) (sqrt h2) (sqrt (* (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (sqrt (* h2 (* h0 h0))) (sqrt (* (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (* (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) h0))) (sqrt (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* h2 (* h0 (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)))))) (sqrt (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (* (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))) (sqrt (sqrt (* h2 (* (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (/ h0 (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))))))) (* (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (+ (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (- (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) (* h0 h1)))) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) h0))) (- (* h3 (/ (* (sqrt h2) (pow h0 3)) (sqrt 1/2)))))))) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (+ (* h3 (/ (sqrt h2) h0)) (- (* h3 (sqrt h2))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (* (sqrt h2) h1) h0)) (- (* h3 (/ (* (sqrt h2) h1) (pow h0 2)))))))) (+ h1 h0) (* 2 h1) 0 2.757 * * [simplify]: iteration 0 : 301 enodes (cost 560 ) 2.762 * * [simplify]: iteration 1 : 959 enodes (cost 523 ) 2.778 * * [simplify]: iteration 2 : 3254 enodes (cost 513 ) 2.840 * * [simplify]: iteration 3 : 5001 enodes (cost 510 ) 2.842 * * * [progress]: adding candidates to table 3.069 * [progress]: [Phase 3 of 3] Extracting. 3.070 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 3.072 * * * [regime-changes]: Trying 3 branch expressions: ((* im im) im re) 3.073 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 3.118 * * * * [regimes]: Trying to branch on (* im im) from (# #) 3.138 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 3.181 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 3.251 * * * [regime]: Found split indices: #