2.350 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.025 * * * [progress]: [2/2] Setting up program. 0.027 * [progress]: [Phase 2 of 3] Improving. 0.027 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.027 * [simplify]: Sending expressions to egg_math: (* h0 (sqrt (* h1 (- (sqrt (+ (* h2 h2) (* h3 h3))) h2)))) 0.029 * * [simplify]: iteration 0 : 17 enodes (cost 8 ) 0.030 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.032 * * [simplify]: iteration 2 : 30 enodes (cost 8 ) 0.033 * * [simplify]: iteration 3 : 35 enodes (cost 8 ) 0.034 * * [simplify]: iteration 4 : 35 enodes (cost 8 ) 0.035 * * [progress]: iteration 1 / 4 0.035 * * * [progress]: picking best candidate 0.037 * * * * [pick]: Picked # 0.037 * * * [progress]: localizing error 0.047 * * * [progress]: generating rewritten candidates 0.047 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1) 0.055 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.096 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.122 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 0.132 * * * [progress]: generating series expansions 0.132 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1) 0.133 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.133 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.133 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.133 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.133 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.133 * [taylor]: Taking taylor expansion of re in im 0.133 * [backup-simplify]: Simplify re into re 0.133 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.133 * [taylor]: Taking taylor expansion of im in im 0.133 * [backup-simplify]: Simplify 0 into 0 0.133 * [backup-simplify]: Simplify 1 into 1 0.133 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.133 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.133 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.133 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.134 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.134 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.134 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.134 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.134 * [taylor]: Taking taylor expansion of re in re 0.134 * [backup-simplify]: Simplify 0 into 0 0.134 * [backup-simplify]: Simplify 1 into 1 0.134 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.134 * [taylor]: Taking taylor expansion of im in re 0.134 * [backup-simplify]: Simplify im into im 0.134 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.134 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.134 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.134 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.134 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.135 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.135 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.135 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.135 * [taylor]: Taking taylor expansion of re in re 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.135 * [taylor]: Taking taylor expansion of im in re 0.135 * [backup-simplify]: Simplify im into im 0.135 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.135 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.135 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.135 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.135 * [backup-simplify]: Simplify (+ 0 0) into 0 0.135 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.135 * [taylor]: Taking taylor expansion of im in im 0.135 * [backup-simplify]: Simplify 0 into 0 0.135 * [backup-simplify]: Simplify 1 into 1 0.135 * [backup-simplify]: Simplify 0 into 0 0.136 * [taylor]: Taking taylor expansion of 0 in im 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 0 into 0 0.136 * [backup-simplify]: Simplify 1 into 1 0.136 * [backup-simplify]: Simplify (* 1 1) into 1 0.136 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.137 * [backup-simplify]: Simplify (+ 1 0) into 1 0.137 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.137 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.137 * [taylor]: Taking taylor expansion of 1/2 in im 0.137 * [backup-simplify]: Simplify 1/2 into 1/2 0.137 * [taylor]: Taking taylor expansion of im in im 0.137 * [backup-simplify]: Simplify 0 into 0 0.137 * [backup-simplify]: Simplify 1 into 1 0.138 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.138 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.138 * [backup-simplify]: Simplify 0 into 0 0.139 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.139 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.139 * [backup-simplify]: Simplify (+ 0 0) into 0 0.139 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.139 * [taylor]: Taking taylor expansion of 0 in im 0.139 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.140 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.140 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.140 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.140 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.140 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.140 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.140 * [taylor]: Taking taylor expansion of im in im 0.140 * [backup-simplify]: Simplify 0 into 0 0.140 * [backup-simplify]: Simplify 1 into 1 0.141 * [backup-simplify]: Simplify (* 1 1) into 1 0.141 * [backup-simplify]: Simplify (/ 1 1) into 1 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.141 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.141 * [taylor]: Taking taylor expansion of re in im 0.141 * [backup-simplify]: Simplify re into re 0.141 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.141 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.141 * [backup-simplify]: Simplify (+ 1 0) into 1 0.142 * [backup-simplify]: Simplify (sqrt 1) into 1 0.142 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.142 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.143 * [backup-simplify]: Simplify (+ 0 0) into 0 0.143 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.143 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.143 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.143 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.143 * [taylor]: Taking taylor expansion of im in re 0.143 * [backup-simplify]: Simplify im into im 0.143 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.143 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.143 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.143 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.143 * [taylor]: Taking taylor expansion of re in re 0.143 * [backup-simplify]: Simplify 0 into 0 0.143 * [backup-simplify]: Simplify 1 into 1 0.144 * [backup-simplify]: Simplify (* 1 1) into 1 0.144 * [backup-simplify]: Simplify (/ 1 1) into 1 0.144 * [backup-simplify]: Simplify (+ 0 1) into 1 0.144 * [backup-simplify]: Simplify (sqrt 1) into 1 0.145 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.145 * [backup-simplify]: Simplify (+ 0 0) into 0 0.146 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.146 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.146 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.146 * [taylor]: Taking taylor expansion of im in re 0.146 * [backup-simplify]: Simplify im into im 0.146 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.146 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.146 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.146 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.146 * [taylor]: Taking taylor expansion of re in re 0.146 * [backup-simplify]: Simplify 0 into 0 0.146 * [backup-simplify]: Simplify 1 into 1 0.146 * [backup-simplify]: Simplify (* 1 1) into 1 0.146 * [backup-simplify]: Simplify (/ 1 1) into 1 0.147 * [backup-simplify]: Simplify (+ 0 1) into 1 0.147 * [backup-simplify]: Simplify (sqrt 1) into 1 0.147 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.147 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.148 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.148 * [taylor]: Taking taylor expansion of 1 in im 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [taylor]: Taking taylor expansion of 0 in im 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.149 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.149 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.149 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.150 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.150 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.150 * [taylor]: Taking taylor expansion of 1/2 in im 0.150 * [backup-simplify]: Simplify 1/2 into 1/2 0.150 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.150 * [taylor]: Taking taylor expansion of im in im 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.151 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.152 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify (+ 0 0) into 0 0.153 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.153 * [taylor]: Taking taylor expansion of 0 in im 0.153 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.154 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.155 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.155 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.155 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.155 * [taylor]: Taking taylor expansion of im in im 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.155 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.155 * [taylor]: Taking taylor expansion of re in im 0.155 * [backup-simplify]: Simplify re into re 0.155 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.156 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.156 * [backup-simplify]: Simplify (+ 1 0) into 1 0.156 * [backup-simplify]: Simplify (sqrt 1) into 1 0.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.157 * [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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.157 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.157 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.157 * [taylor]: Taking taylor expansion of im in re 0.157 * [backup-simplify]: Simplify im into im 0.158 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.158 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.158 * [backup-simplify]: Simplify (* 1 1) into 1 0.158 * [backup-simplify]: Simplify (/ 1 1) into 1 0.158 * [backup-simplify]: Simplify (+ 0 1) into 1 0.159 * [backup-simplify]: Simplify (sqrt 1) into 1 0.159 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.159 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.160 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.160 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.160 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.160 * [taylor]: Taking taylor expansion of im in re 0.160 * [backup-simplify]: Simplify im into im 0.160 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.160 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.160 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.160 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.160 * [taylor]: Taking taylor expansion of re in re 0.160 * [backup-simplify]: Simplify 0 into 0 0.160 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.161 * [backup-simplify]: Simplify (+ 0 1) into 1 0.161 * [backup-simplify]: Simplify (sqrt 1) into 1 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.162 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.162 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.163 * [taylor]: Taking taylor expansion of 1 in im 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [taylor]: Taking taylor expansion of 0 in im 0.163 * [backup-simplify]: Simplify 0 into 0 0.163 * [backup-simplify]: Simplify 1 into 1 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.165 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.165 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.165 * [taylor]: Taking taylor expansion of 1/2 in im 0.165 * [backup-simplify]: Simplify 1/2 into 1/2 0.165 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.165 * [taylor]: Taking taylor expansion of im in im 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (* 1 1) into 1 0.165 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify (+ 0 0) into 0 0.168 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.168 * [taylor]: Taking taylor expansion of 0 in im 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.169 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify 0 into 0 0.169 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.169 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.169 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.169 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.169 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.169 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.169 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.169 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.169 * [taylor]: Taking taylor expansion of re in im 0.169 * [backup-simplify]: Simplify re into re 0.169 * [taylor]: Taking taylor expansion of (pow im 2) 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 (* re re) into (pow re 2) 0.170 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.170 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.170 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.170 * [taylor]: Taking taylor expansion of re in im 0.170 * [backup-simplify]: Simplify re into re 0.170 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.170 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.170 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.170 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.170 * [taylor]: Taking taylor expansion of re in re 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify 1 into 1 0.170 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.170 * [taylor]: Taking taylor expansion of im in re 0.170 * [backup-simplify]: Simplify im into im 0.170 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.170 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.170 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.170 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.171 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.171 * [taylor]: Taking taylor expansion of re in re 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.171 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.171 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.171 * [taylor]: Taking taylor expansion of re in re 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.171 * [taylor]: Taking taylor expansion of im in re 0.171 * [backup-simplify]: Simplify im into im 0.171 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.171 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.171 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.171 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.171 * [backup-simplify]: Simplify (+ 0 0) into 0 0.172 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.172 * [taylor]: Taking taylor expansion of re in re 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify (- 0) into 0 0.172 * [backup-simplify]: Simplify (+ im 0) into im 0.172 * [taylor]: Taking taylor expansion of im in im 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify 1 into 1 0.172 * [backup-simplify]: Simplify 0 into 0 0.172 * [backup-simplify]: Simplify (- 1) into -1 0.172 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.172 * [taylor]: Taking taylor expansion of -1 in im 0.172 * [backup-simplify]: Simplify -1 into -1 0.172 * [backup-simplify]: Simplify -1 into -1 0.173 * [backup-simplify]: Simplify 1 into 1 0.173 * [backup-simplify]: Simplify (* 1 1) into 1 0.173 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.173 * [backup-simplify]: Simplify (+ 1 0) into 1 0.174 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.174 * [backup-simplify]: Simplify (- 0) into 0 0.174 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.174 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.174 * [taylor]: Taking taylor expansion of 1/2 in im 0.174 * [backup-simplify]: Simplify 1/2 into 1/2 0.174 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.176 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.176 * [backup-simplify]: Simplify (- 0) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [taylor]: Taking taylor expansion of 0 in im 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.178 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.178 * [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)) 0.178 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.178 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.178 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.178 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.178 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.178 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.178 * [taylor]: Taking taylor expansion of im in im 0.178 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (* 1 1) into 1 0.179 * [backup-simplify]: Simplify (/ 1 1) into 1 0.179 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.179 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.179 * [taylor]: Taking taylor expansion of re in im 0.179 * [backup-simplify]: Simplify re into re 0.179 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.179 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (sqrt 1) into 1 0.180 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.180 * [backup-simplify]: Simplify (+ 0 0) into 0 0.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.181 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.181 * [taylor]: Taking taylor expansion of re in im 0.181 * [backup-simplify]: Simplify re into re 0.181 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.181 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.181 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.181 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.181 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.181 * [taylor]: Taking taylor expansion of im in re 0.181 * [backup-simplify]: Simplify im into im 0.181 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.181 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.181 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.181 * [taylor]: Taking taylor expansion of re in re 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 1 into 1 0.182 * [backup-simplify]: Simplify (* 1 1) into 1 0.182 * [backup-simplify]: Simplify (/ 1 1) into 1 0.182 * [backup-simplify]: Simplify (+ 0 1) into 1 0.182 * [backup-simplify]: Simplify (sqrt 1) into 1 0.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.184 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.184 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.184 * [taylor]: Taking taylor expansion of re in re 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (/ 1 1) into 1 0.184 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.184 * [taylor]: Taking taylor expansion of im in re 0.184 * [backup-simplify]: Simplify im into im 0.184 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.184 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.184 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.184 * [taylor]: Taking taylor expansion of re in re 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 1 into 1 0.184 * [backup-simplify]: Simplify (* 1 1) into 1 0.185 * [backup-simplify]: Simplify (/ 1 1) into 1 0.185 * [backup-simplify]: Simplify (+ 0 1) into 1 0.185 * [backup-simplify]: Simplify (sqrt 1) into 1 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify (+ 0 0) into 0 0.186 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.186 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.186 * [taylor]: Taking taylor expansion of re in re 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 1 into 1 0.187 * [backup-simplify]: Simplify (/ 1 1) into 1 0.187 * [backup-simplify]: Simplify (- 1) into -1 0.187 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.187 * [taylor]: Taking taylor expansion of 0 in im 0.187 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.188 * [backup-simplify]: Simplify (- 0) into 0 0.188 * [backup-simplify]: Simplify (+ 0 0) into 0 0.188 * [taylor]: Taking taylor expansion of 0 in im 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 0 into 0 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.190 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.191 * [backup-simplify]: Simplify (- 0) into 0 0.191 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.191 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.191 * [taylor]: Taking taylor expansion of 1/2 in im 0.191 * [backup-simplify]: Simplify 1/2 into 1/2 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.191 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.191 * [taylor]: Taking taylor expansion of im in im 0.191 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify 1 into 1 0.191 * [backup-simplify]: Simplify (* 1 1) into 1 0.192 * [backup-simplify]: Simplify (/ 1 1) into 1 0.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.193 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.193 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.195 * [backup-simplify]: Simplify (- 0) into 0 0.196 * [backup-simplify]: Simplify (+ 0 0) into 0 0.196 * [taylor]: Taking taylor expansion of 0 in im 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [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))))) 0.197 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.197 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.197 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.197 * [taylor]: Taking taylor expansion of re in im 0.197 * [backup-simplify]: Simplify re into re 0.198 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.198 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.198 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.198 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.198 * [taylor]: Taking taylor expansion of im in im 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 * [backup-simplify]: Simplify (/ 1 1) into 1 0.198 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.198 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.198 * [taylor]: Taking taylor expansion of re in im 0.198 * [backup-simplify]: Simplify re into re 0.198 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.198 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.199 * [backup-simplify]: Simplify (+ 1 0) into 1 0.199 * [backup-simplify]: Simplify (sqrt 1) into 1 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [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 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.200 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.200 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.200 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.200 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.200 * [taylor]: Taking taylor expansion of im in re 0.200 * [backup-simplify]: Simplify im into im 0.201 * [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 0.201 * [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 0.202 * [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 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.203 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.203 * [taylor]: Taking taylor expansion of re in re 0.203 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify 1 into 1 0.203 * [backup-simplify]: Simplify (/ 1 1) into 1 0.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.203 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.203 * [taylor]: Taking taylor expansion of im in re 0.203 * [backup-simplify]: Simplify im into im 0.203 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.204 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.204 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.204 * [taylor]: Taking taylor expansion of re in re 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 1 into 1 0.204 * [backup-simplify]: Simplify (* 1 1) into 1 0.204 * [backup-simplify]: Simplify (/ 1 1) into 1 0.204 * [backup-simplify]: Simplify (+ 0 1) into 1 0.204 * [backup-simplify]: Simplify (sqrt 1) into 1 0.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.205 * [backup-simplify]: Simplify (+ 0 0) into 0 0.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.206 * [backup-simplify]: Simplify (+ 1 1) into 2 0.206 * [taylor]: Taking taylor expansion of 2 in im 0.206 * [backup-simplify]: Simplify 2 into 2 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [taylor]: Taking taylor expansion of 0 in im 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 2 into 2 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.208 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.208 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.209 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.209 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.209 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.209 * [taylor]: Taking taylor expansion of 1/2 in im 0.209 * [backup-simplify]: Simplify 1/2 into 1/2 0.209 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.209 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.209 * [taylor]: Taking taylor expansion of im in im 0.209 * [backup-simplify]: Simplify 0 into 0 0.209 * [backup-simplify]: Simplify 1 into 1 0.210 * [backup-simplify]: Simplify (* 1 1) into 1 0.210 * [backup-simplify]: Simplify (/ 1 1) into 1 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 0 into 0 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.214 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.216 * [backup-simplify]: Simplify (+ 0 0) into 0 0.216 * [taylor]: Taking taylor expansion of 0 in im 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.217 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.218 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify 0 into 0 0.218 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.218 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 0.219 * [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))) 0.219 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.219 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.219 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.219 * [taylor]: Taking taylor expansion of 2.0 in im 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 im 0.219 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.219 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.219 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.219 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.219 * [taylor]: Taking taylor expansion of re in im 0.219 * [backup-simplify]: Simplify re into re 0.219 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.219 * [taylor]: Taking taylor expansion of im in im 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 1 into 1 0.219 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.220 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.220 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.220 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.220 * [backup-simplify]: Simplify (+ 0 0) into 0 0.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.220 * [taylor]: Taking taylor expansion of re in im 0.220 * [backup-simplify]: Simplify re into re 0.220 * [backup-simplify]: Simplify (- re) into (- re) 0.220 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.220 * [backup-simplify]: Simplify (- 0) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.221 * [backup-simplify]: Simplify (* 1 1) into 1 0.221 * [backup-simplify]: Simplify (+ 0 1) into 1 0.222 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.222 * [backup-simplify]: Simplify (- 0) into 0 0.222 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.222 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.223 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.223 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.223 * [backup-simplify]: Simplify (- 0) into 0 0.224 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.224 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.224 * [taylor]: Taking taylor expansion of 2.0 in re 0.224 * [backup-simplify]: Simplify 2.0 into 2.0 0.224 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.224 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.224 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.224 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.224 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.224 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.224 * [taylor]: Taking taylor expansion of re in re 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.225 * [taylor]: Taking taylor expansion of im in re 0.225 * [backup-simplify]: Simplify im into im 0.225 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.225 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.225 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.225 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.225 * [taylor]: Taking taylor expansion of re in re 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (- 0) into 0 0.225 * [backup-simplify]: Simplify (+ im 0) into im 0.226 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.226 * [backup-simplify]: Simplify (- 1) into -1 0.226 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.226 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.226 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.226 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.226 * [taylor]: Taking taylor expansion of 2.0 in re 0.226 * [backup-simplify]: Simplify 2.0 into 2.0 0.226 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.227 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.227 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.227 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.227 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.227 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.227 * [taylor]: Taking taylor expansion of re in re 0.227 * [backup-simplify]: Simplify 0 into 0 0.227 * [backup-simplify]: Simplify 1 into 1 0.227 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.227 * [taylor]: Taking taylor expansion of im in re 0.227 * [backup-simplify]: Simplify im into im 0.227 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.227 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.227 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.227 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.227 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.228 * [taylor]: Taking taylor expansion of re in re 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 1 into 1 0.228 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ im 0) into im 0.228 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.228 * [backup-simplify]: Simplify (- 1) into -1 0.228 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.228 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.229 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.229 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.229 * [taylor]: Taking taylor expansion of 2.0 in im 0.229 * [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 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 0.230 * [backup-simplify]: Simplify (sqrt 0) into 0 0.231 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.232 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.233 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.233 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.233 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.233 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.233 * [taylor]: Taking taylor expansion of 1/2 in im 0.233 * [backup-simplify]: Simplify 1/2 into 1/2 0.233 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.233 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.233 * [taylor]: Taking taylor expansion of 2.0 in im 0.233 * [backup-simplify]: Simplify 2.0 into 2.0 0.234 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.234 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.234 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.234 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.234 * [taylor]: Taking taylor expansion of im in im 0.234 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (/ 1 1) into 1 0.234 * [backup-simplify]: Simplify (sqrt 0) into 0 0.235 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.238 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.239 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.240 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.241 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.243 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.244 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.245 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.247 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.247 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.249 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.250 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.253 * [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)))))))) 0.253 * [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)))) 0.253 * [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 0.253 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.253 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.253 * [taylor]: Taking taylor expansion of 2.0 in im 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 im 0.254 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.254 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.254 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.254 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.254 * [taylor]: Taking taylor expansion of im in im 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 0.254 * [backup-simplify]: Simplify (/ 1 1) into 1 0.254 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.254 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.254 * [taylor]: Taking taylor expansion of re in im 0.254 * [backup-simplify]: Simplify re into re 0.254 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.255 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.255 * [backup-simplify]: Simplify (+ 1 0) into 1 0.255 * [backup-simplify]: Simplify (sqrt 1) into 1 0.255 * [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 0.256 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.256 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.256 * [taylor]: Taking taylor expansion of re in im 0.256 * [backup-simplify]: Simplify re into re 0.256 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.257 * [backup-simplify]: Simplify (+ 1 0) into 1 0.257 * [backup-simplify]: Simplify (sqrt 0) into 0 0.258 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.258 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.258 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.258 * [taylor]: Taking taylor expansion of 2.0 in re 0.258 * [backup-simplify]: Simplify 2.0 into 2.0 0.258 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.258 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.258 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.258 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.258 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.258 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.258 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.258 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.258 * [taylor]: Taking taylor expansion of im in re 0.258 * [backup-simplify]: Simplify im into im 0.259 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.259 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.259 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.259 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.259 * [taylor]: Taking taylor expansion of re in re 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 1 into 1 0.259 * [backup-simplify]: Simplify (* 1 1) into 1 0.259 * [backup-simplify]: Simplify (/ 1 1) into 1 0.259 * [backup-simplify]: Simplify (+ 0 1) into 1 0.260 * [backup-simplify]: Simplify (sqrt 1) into 1 0.260 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.260 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.261 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.261 * [taylor]: Taking taylor expansion of re in re 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.261 * [backup-simplify]: Simplify (/ 1 1) into 1 0.261 * [backup-simplify]: Simplify (- 1) into -1 0.262 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.262 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.262 * [backup-simplify]: Simplify (- 0) into 0 0.262 * [backup-simplify]: Simplify (+ 0 0) into 0 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.264 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.265 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.265 * [backup-simplify]: Simplify (- 0) into 0 0.265 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.265 * [backup-simplify]: Simplify (sqrt 0) into 0 0.266 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.266 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.266 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.266 * [taylor]: Taking taylor expansion of 2.0 in re 0.266 * [backup-simplify]: Simplify 2.0 into 2.0 0.266 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.267 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.267 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.267 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.267 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.267 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.267 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.267 * [taylor]: Taking taylor expansion of im in re 0.267 * [backup-simplify]: Simplify im into im 0.267 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.267 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.267 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.267 * [taylor]: Taking taylor expansion of re in re 0.267 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify 1 into 1 0.267 * [backup-simplify]: Simplify (* 1 1) into 1 0.267 * [backup-simplify]: Simplify (/ 1 1) into 1 0.268 * [backup-simplify]: Simplify (+ 0 1) into 1 0.268 * [backup-simplify]: Simplify (sqrt 1) into 1 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.269 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.269 * [taylor]: Taking taylor expansion of re in re 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 1 into 1 0.269 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (- 1) into -1 0.270 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.270 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.270 * [backup-simplify]: Simplify (- 0) into 0 0.271 * [backup-simplify]: Simplify (+ 0 0) into 0 0.271 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.272 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.273 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.273 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.274 * [backup-simplify]: Simplify (sqrt 0) into 0 0.274 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.275 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.275 * [taylor]: Taking taylor expansion of 0 in im 0.275 * [backup-simplify]: Simplify 0 into 0 0.275 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.275 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.275 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.275 * [taylor]: Taking taylor expansion of +nan.0 in im 0.275 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.275 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.275 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.275 * [taylor]: Taking taylor expansion of 2.0 in im 0.275 * [backup-simplify]: Simplify 2.0 into 2.0 0.276 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.276 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.276 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.276 * [taylor]: Taking taylor expansion of im in im 0.276 * [backup-simplify]: Simplify 0 into 0 0.276 * [backup-simplify]: Simplify 1 into 1 0.276 * [backup-simplify]: Simplify (* 1 1) into 1 0.277 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.278 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.278 * [backup-simplify]: Simplify (- 0) into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.280 * [backup-simplify]: Simplify (+ 0 0) into 0 0.280 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (- 0) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.282 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.283 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.283 * [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)))) 0.283 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.283 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.283 * [taylor]: Taking taylor expansion of +nan.0 in im 0.283 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.283 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.283 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.283 * [taylor]: Taking taylor expansion of 2.0 in im 0.283 * [backup-simplify]: Simplify 2.0 into 2.0 0.284 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.284 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.284 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.284 * [taylor]: Taking taylor expansion of im in im 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 1 into 1 0.284 * [backup-simplify]: Simplify (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (* 1 1) into 1 0.285 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.286 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) 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 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.288 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.289 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.292 * [backup-simplify]: Simplify (- 0) into 0 0.292 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.293 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.293 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.294 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify 0 into 0 0.294 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 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 0) into 0 0.297 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.297 * [backup-simplify]: Simplify (- 0) into 0 0.298 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.298 * [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)))))) 0.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.300 * [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)))))) 0.300 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.300 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.300 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) 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 4)) 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 0.300 * [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 4) 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 0.301 * [backup-simplify]: Simplify (* 1 1) into 1 0.302 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.302 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.302 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.302 * [taylor]: Taking taylor expansion of +nan.0 in im 0.302 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.302 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.302 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.302 * [taylor]: Taking taylor expansion of 2.0 in im 0.302 * [backup-simplify]: Simplify 2.0 into 2.0 0.302 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.302 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.302 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.302 * [taylor]: Taking taylor expansion of im in im 0.302 * [backup-simplify]: Simplify 0 into 0 0.302 * [backup-simplify]: Simplify 1 into 1 0.305 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (* 1 1) into 1 0.306 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.307 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.308 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.308 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.311 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.313 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.313 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.314 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.315 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.315 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.316 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.317 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 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 1))) into 0 0.318 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 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 (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.323 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.325 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.326 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.327 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify (+ 0 0) into 0 0.327 * [backup-simplify]: Simplify (- 0) into 0 0.327 * [backup-simplify]: Simplify 0 into 0 0.328 * [backup-simplify]: Simplify 0 into 0 0.328 * [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))))))) 0.328 * [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 0.328 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.328 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.328 * [taylor]: Taking taylor expansion of 2.0 in im 0.328 * [backup-simplify]: Simplify 2.0 into 2.0 0.328 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.329 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.329 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.329 * [taylor]: Taking taylor expansion of re in im 0.329 * [backup-simplify]: Simplify re into re 0.329 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.329 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.329 * [taylor]: Taking taylor expansion of im in im 0.329 * [backup-simplify]: Simplify 0 into 0 0.329 * [backup-simplify]: Simplify 1 into 1 0.329 * [backup-simplify]: Simplify (* 1 1) into 1 0.329 * [backup-simplify]: Simplify (/ 1 1) into 1 0.329 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.329 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.329 * [taylor]: Taking taylor expansion of re in im 0.329 * [backup-simplify]: Simplify re into re 0.329 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.330 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.330 * [backup-simplify]: Simplify (+ 1 0) into 1 0.330 * [backup-simplify]: Simplify (sqrt 1) into 1 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.331 * [backup-simplify]: Simplify (+ 0 0) into 0 0.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.332 * [backup-simplify]: Simplify (+ 0 1) into 1 0.332 * [backup-simplify]: Simplify (sqrt 0) into 0 0.333 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.333 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.333 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.333 * [taylor]: Taking taylor expansion of 2.0 in re 0.333 * [backup-simplify]: Simplify 2.0 into 2.0 0.333 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.333 * [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 0.334 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.334 * [taylor]: Taking taylor expansion of re in re 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (/ 1 1) into 1 0.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.334 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.334 * [taylor]: Taking taylor expansion of im in re 0.334 * [backup-simplify]: Simplify im into im 0.334 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.334 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.334 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.334 * [taylor]: Taking taylor expansion of re in re 0.334 * [backup-simplify]: Simplify 0 into 0 0.334 * [backup-simplify]: Simplify 1 into 1 0.334 * [backup-simplify]: Simplify (* 1 1) into 1 0.335 * [backup-simplify]: Simplify (/ 1 1) into 1 0.335 * [backup-simplify]: Simplify (+ 0 1) into 1 0.335 * [backup-simplify]: Simplify (sqrt 1) into 1 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.336 * [backup-simplify]: Simplify (+ 0 0) into 0 0.336 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.337 * [backup-simplify]: Simplify (+ 1 1) into 2 0.337 * [backup-simplify]: Simplify (sqrt 0) into 0 0.337 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.338 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.338 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.338 * [taylor]: Taking taylor expansion of 2.0 in re 0.338 * [backup-simplify]: Simplify 2.0 into 2.0 0.338 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.338 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.338 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.338 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.338 * [taylor]: Taking taylor expansion of re in re 0.338 * [backup-simplify]: Simplify 0 into 0 0.338 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.339 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.339 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.339 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.339 * [taylor]: Taking taylor expansion of im in re 0.339 * [backup-simplify]: Simplify im into im 0.339 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.339 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.339 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.339 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.339 * [taylor]: Taking taylor expansion of re in re 0.339 * [backup-simplify]: Simplify 0 into 0 0.339 * [backup-simplify]: Simplify 1 into 1 0.339 * [backup-simplify]: Simplify (* 1 1) into 1 0.339 * [backup-simplify]: Simplify (/ 1 1) into 1 0.340 * [backup-simplify]: Simplify (+ 0 1) into 1 0.340 * [backup-simplify]: Simplify (sqrt 1) into 1 0.340 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.341 * [backup-simplify]: Simplify (+ 0 0) into 0 0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.341 * [backup-simplify]: Simplify (+ 1 1) into 2 0.342 * [backup-simplify]: Simplify (sqrt 0) into 0 0.342 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.343 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.343 * [taylor]: Taking taylor expansion of 0 in im 0.343 * [backup-simplify]: Simplify 0 into 0 0.344 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.344 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.344 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.344 * [taylor]: Taking taylor expansion of +nan.0 in im 0.344 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.344 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.344 * [taylor]: Taking taylor expansion of 2.0 in im 0.344 * [backup-simplify]: Simplify 2.0 into 2.0 0.344 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.344 * [backup-simplify]: Simplify 0 into 0 0.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.345 * [backup-simplify]: Simplify (+ 0 0) into 0 0.347 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.347 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.349 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.349 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.349 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.349 * [taylor]: Taking taylor expansion of +nan.0 in im 0.349 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.349 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.349 * [taylor]: Taking taylor expansion of 2.0 in im 0.349 * [backup-simplify]: Simplify 2.0 into 2.0 0.349 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.350 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.351 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.352 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.353 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.353 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.354 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.354 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.355 * [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)) 0.356 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.357 * [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))))) 0.357 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.357 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.357 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.357 * [taylor]: Taking taylor expansion of +nan.0 in im 0.357 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.357 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.357 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.357 * [taylor]: Taking taylor expansion of 2.0 in im 0.357 * [backup-simplify]: Simplify 2.0 into 2.0 0.357 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.357 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.357 * [taylor]: Taking taylor expansion of im in im 0.357 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify 1 into 1 0.358 * [backup-simplify]: Simplify (* 1 1) into 1 0.358 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.358 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.358 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.358 * [taylor]: Taking taylor expansion of +nan.0 in im 0.358 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.358 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.358 * [taylor]: Taking taylor expansion of 2.0 in im 0.358 * [backup-simplify]: Simplify 2.0 into 2.0 0.359 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.359 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.360 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.360 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.361 * [backup-simplify]: Simplify (+ 0 0) into 0 0.361 * [backup-simplify]: Simplify (- 0) into 0 0.361 * [backup-simplify]: Simplify 0 into 0 0.361 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.362 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.363 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.364 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.364 * [backup-simplify]: Simplify (- 0) into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify 0 into 0 0.364 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.365 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.365 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.365 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.366 * [backup-simplify]: Simplify (+ 0 0) into 0 0.366 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.367 * [backup-simplify]: Simplify (+ 0 0) into 0 0.367 * [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))) 0.368 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.369 * [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))))) 0.369 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.369 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.369 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.369 * [taylor]: Taking taylor expansion of +nan.0 in im 0.369 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.369 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.369 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.369 * [taylor]: Taking taylor expansion of 2.0 in im 0.369 * [backup-simplify]: Simplify 2.0 into 2.0 0.370 * [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) 0.372 * [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]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 0.383 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.383 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.383 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.383 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.383 * [taylor]: Taking taylor expansion of re in im 0.383 * [backup-simplify]: Simplify re into re 0.383 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.383 * [taylor]: Taking taylor expansion of im in im 0.383 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify 1 into 1 0.383 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.383 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.383 * [taylor]: Taking taylor expansion of re in re 0.383 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.384 * [taylor]: Taking taylor expansion of im in re 0.384 * [backup-simplify]: Simplify im into im 0.384 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.384 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.384 * [taylor]: Taking taylor expansion of re in re 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.384 * [taylor]: Taking taylor expansion of im in re 0.384 * [backup-simplify]: Simplify im into im 0.384 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.384 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.384 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.384 * [taylor]: Taking taylor expansion of im in im 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 1 into 1 0.384 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.384 * [taylor]: Taking taylor expansion of 0 in im 0.384 * [backup-simplify]: Simplify 0 into 0 0.384 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.385 * [backup-simplify]: Simplify (+ 1 0) into 1 0.385 * [taylor]: Taking taylor expansion of 1 in im 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify 1 into 1 0.385 * [backup-simplify]: Simplify 0 into 0 0.385 * [backup-simplify]: Simplify (* 1 1) into 1 0.385 * [backup-simplify]: Simplify 1 into 1 0.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.386 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.386 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [taylor]: Taking taylor expansion of 0 in im 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.386 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.387 * [backup-simplify]: Simplify 0 into 0 0.387 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.388 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.388 * [backup-simplify]: Simplify (+ 0 0) into 0 0.388 * [taylor]: Taking taylor expansion of 0 in im 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify 0 into 0 0.388 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.389 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.389 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.389 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.389 * [taylor]: Taking taylor expansion of im in im 0.389 * [backup-simplify]: Simplify 0 into 0 0.389 * [backup-simplify]: Simplify 1 into 1 0.389 * [backup-simplify]: Simplify (* 1 1) into 1 0.389 * [backup-simplify]: Simplify (/ 1 1) into 1 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.389 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.389 * [taylor]: Taking taylor expansion of re in im 0.389 * [backup-simplify]: Simplify re into re 0.389 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.389 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.389 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.389 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.389 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.389 * [taylor]: Taking taylor expansion of im in re 0.389 * [backup-simplify]: Simplify im into im 0.390 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.390 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.390 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.390 * [taylor]: Taking taylor expansion of re in re 0.390 * [backup-simplify]: Simplify 0 into 0 0.390 * [backup-simplify]: Simplify 1 into 1 0.390 * [backup-simplify]: Simplify (* 1 1) into 1 0.390 * [backup-simplify]: Simplify (/ 1 1) into 1 0.390 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.390 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.390 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.390 * [taylor]: Taking taylor expansion of im in re 0.390 * [backup-simplify]: Simplify im into im 0.393 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.393 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.393 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.393 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.393 * [taylor]: Taking taylor expansion of re in re 0.393 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify 1 into 1 0.393 * [backup-simplify]: Simplify (* 1 1) into 1 0.393 * [backup-simplify]: Simplify (/ 1 1) into 1 0.394 * [backup-simplify]: Simplify (+ 0 1) into 1 0.394 * [taylor]: Taking taylor expansion of 1 in im 0.394 * [backup-simplify]: Simplify 1 into 1 0.394 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.395 * [backup-simplify]: Simplify (+ 0 0) into 0 0.395 * [taylor]: Taking taylor expansion of 0 in im 0.395 * [backup-simplify]: Simplify 0 into 0 0.395 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.396 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.396 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.396 * [taylor]: Taking taylor expansion of im in im 0.396 * [backup-simplify]: Simplify 0 into 0 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (* 1 1) into 1 0.396 * [backup-simplify]: Simplify (/ 1 1) into 1 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify 1 into 1 0.396 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.397 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.397 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.398 * [backup-simplify]: Simplify (+ 0 0) into 0 0.398 * [taylor]: Taking taylor expansion of 0 in im 0.398 * [backup-simplify]: Simplify 0 into 0 0.398 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify 0 into 0 0.399 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.399 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.400 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.400 * [backup-simplify]: Simplify (+ 0 0) into 0 0.400 * [taylor]: Taking taylor expansion of 0 in im 0.400 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.401 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.402 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.402 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.402 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.402 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.402 * [taylor]: Taking taylor expansion of im in im 0.402 * [backup-simplify]: Simplify 0 into 0 0.402 * [backup-simplify]: Simplify 1 into 1 0.402 * [backup-simplify]: Simplify (* 1 1) into 1 0.402 * [backup-simplify]: Simplify (/ 1 1) into 1 0.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.402 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.403 * [taylor]: Taking taylor expansion of re in im 0.403 * [backup-simplify]: Simplify re into re 0.403 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.403 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.403 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.403 * [taylor]: Taking taylor expansion of im in re 0.403 * [backup-simplify]: Simplify im into im 0.403 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.403 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.403 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.403 * [taylor]: Taking taylor expansion of re in re 0.403 * [backup-simplify]: Simplify 0 into 0 0.403 * [backup-simplify]: Simplify 1 into 1 0.403 * [backup-simplify]: Simplify (* 1 1) into 1 0.403 * [backup-simplify]: Simplify (/ 1 1) into 1 0.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.403 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.403 * [taylor]: Taking taylor expansion of im in re 0.403 * [backup-simplify]: Simplify im into im 0.404 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.404 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.404 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.404 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.404 * [taylor]: Taking taylor expansion of re in re 0.404 * [backup-simplify]: Simplify 0 into 0 0.404 * [backup-simplify]: Simplify 1 into 1 0.404 * [backup-simplify]: Simplify (* 1 1) into 1 0.404 * [backup-simplify]: Simplify (/ 1 1) into 1 0.404 * [backup-simplify]: Simplify (+ 0 1) into 1 0.404 * [taylor]: Taking taylor expansion of 1 in im 0.404 * [backup-simplify]: Simplify 1 into 1 0.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.405 * [backup-simplify]: Simplify (+ 0 0) into 0 0.405 * [taylor]: Taking taylor expansion of 0 in im 0.405 * [backup-simplify]: Simplify 0 into 0 0.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.406 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.406 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.407 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.407 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.407 * [taylor]: Taking taylor expansion of im in im 0.407 * [backup-simplify]: Simplify 0 into 0 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (* 1 1) into 1 0.407 * [backup-simplify]: Simplify (/ 1 1) into 1 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify 1 into 1 0.407 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.407 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.408 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify (+ 0 0) into 0 0.409 * [taylor]: Taking taylor expansion of 0 in im 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.409 * [backup-simplify]: Simplify 0 into 0 0.410 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.410 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.411 * [backup-simplify]: Simplify (+ 0 0) into 0 0.411 * [taylor]: Taking taylor expansion of 0 in im 0.411 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.412 * [backup-simplify]: Simplify 0 into 0 0.413 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.413 * * * [progress]: simplifying candidates 0.414 * [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)))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +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))))))) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.414 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (exp h0)) (log (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (exp (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (cbrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (cbrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (* (- (sqrt (+ (* h0 h0) (* h1 h1))) h0) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (- (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3)) (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (+ (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (- h0) (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (- (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (+ (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (- (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt h0)) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0) (- h0) (log (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (exp (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (* (cbrt (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0))))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (* (* (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (sqrt h2) (sqrt (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (* h2 (- (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3)))) (sqrt (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (+ (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (sqrt (* h2 (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0)))) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (sqrt (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) h1 h0 (* -1 h0) (- h1 h0) 0 (* -2 h0) (- (+ (* h3 (* (sqrt h2) (pow h1 2))) (- (+ (* h3 (* (sqrt h2) h1)) (- (* h3 (* (sqrt h2) (* h1 h0)))))))) 0 (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h0 2))) (- (* h3 (/ (sqrt h2) h0))))))) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.418 * * [simplify]: iteration 0 : 258 enodes (cost 459 ) 0.422 * * [simplify]: iteration 1 : 938 enodes (cost 422 ) 0.438 * * [simplify]: iteration 2 : 3098 enodes (cost 412 ) 0.501 * * [simplify]: iteration 3 : 5001 enodes (cost 410 ) 0.504 * * * [progress]: adding candidates to table 0.669 * * [progress]: iteration 2 / 4 0.669 * * * [progress]: picking best candidate 0.678 * * * * [pick]: Picked # 0.678 * * * [progress]: localizing error 0.692 * * * [progress]: generating rewritten candidates 0.692 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 0.700 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.761 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 0.771 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 0.782 * * * [progress]: generating series expansions 0.782 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 0.782 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.782 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.782 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.782 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.782 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.782 * [taylor]: Taking taylor expansion of re in im 0.782 * [backup-simplify]: Simplify re into re 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 0.782 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.783 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.783 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.783 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.783 * [backup-simplify]: Simplify (+ 0 0) into 0 0.783 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.783 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.783 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.783 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.783 * [taylor]: Taking taylor expansion of re in re 0.783 * [backup-simplify]: Simplify 0 into 0 0.783 * [backup-simplify]: Simplify 1 into 1 0.783 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.783 * [taylor]: Taking taylor expansion of im in re 0.783 * [backup-simplify]: Simplify im into im 0.783 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.784 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.784 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.784 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.784 * [backup-simplify]: Simplify (+ 0 0) into 0 0.784 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.784 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.784 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.784 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.784 * [taylor]: Taking taylor expansion of re in re 0.784 * [backup-simplify]: Simplify 0 into 0 0.784 * [backup-simplify]: Simplify 1 into 1 0.784 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.784 * [taylor]: Taking taylor expansion of im in re 0.784 * [backup-simplify]: Simplify im into im 0.784 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.785 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.785 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.785 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.785 * [backup-simplify]: Simplify (+ 0 0) into 0 0.785 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 into 0 0.785 * [taylor]: Taking taylor expansion of 0 in im 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 0 into 0 0.785 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (* 1 1) into 1 0.786 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.786 * [backup-simplify]: Simplify (+ 1 0) into 1 0.787 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.787 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.787 * [taylor]: Taking taylor expansion of 1/2 in im 0.787 * [backup-simplify]: Simplify 1/2 into 1/2 0.787 * [taylor]: Taking taylor expansion of im in im 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 1 into 1 0.787 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.788 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.789 * [taylor]: Taking taylor expansion of 0 in im 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify 0 into 0 0.789 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.790 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.790 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.790 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.790 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.790 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.790 * [taylor]: Taking taylor expansion of im in im 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify 1 into 1 0.790 * [backup-simplify]: Simplify (* 1 1) into 1 0.790 * [backup-simplify]: Simplify (/ 1 1) into 1 0.790 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.790 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.790 * [taylor]: Taking taylor expansion of re in im 0.790 * [backup-simplify]: Simplify re into re 0.790 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.790 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.791 * [backup-simplify]: Simplify (+ 1 0) into 1 0.791 * [backup-simplify]: Simplify (sqrt 1) into 1 0.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.792 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.792 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.792 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.792 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.792 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.792 * [taylor]: Taking taylor expansion of im in re 0.792 * [backup-simplify]: Simplify im into im 0.792 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.793 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.793 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.793 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.793 * [taylor]: Taking taylor expansion of re in re 0.793 * [backup-simplify]: Simplify 0 into 0 0.793 * [backup-simplify]: Simplify 1 into 1 0.793 * [backup-simplify]: Simplify (* 1 1) into 1 0.793 * [backup-simplify]: Simplify (/ 1 1) into 1 0.793 * [backup-simplify]: Simplify (+ 0 1) into 1 0.794 * [backup-simplify]: Simplify (sqrt 1) into 1 0.794 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.794 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.794 * [backup-simplify]: Simplify (+ 0 0) into 0 0.795 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.795 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.795 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.795 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.795 * [taylor]: Taking taylor expansion of im in re 0.795 * [backup-simplify]: Simplify im into im 0.795 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.795 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.795 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.795 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.795 * [taylor]: Taking taylor expansion of re in re 0.795 * [backup-simplify]: Simplify 0 into 0 0.795 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (* 1 1) into 1 0.796 * [backup-simplify]: Simplify (/ 1 1) into 1 0.796 * [backup-simplify]: Simplify (+ 0 1) into 1 0.796 * [backup-simplify]: Simplify (sqrt 1) into 1 0.796 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ 0 0) into 0 0.797 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.797 * [taylor]: Taking taylor expansion of 1 in im 0.797 * [backup-simplify]: Simplify 1 into 1 0.798 * [taylor]: Taking taylor expansion of 0 in im 0.798 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify 1 into 1 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.798 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.799 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.799 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.799 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.799 * [taylor]: Taking taylor expansion of 1/2 in im 0.799 * [backup-simplify]: Simplify 1/2 into 1/2 0.799 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.799 * [taylor]: Taking taylor expansion of im in im 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 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.800 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.801 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify 0 into 0 0.801 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.802 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.803 * [taylor]: Taking taylor expansion of 0 in im 0.803 * [backup-simplify]: Simplify 0 into 0 0.803 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.804 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.804 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.804 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.804 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.804 * [taylor]: Taking taylor expansion of im in im 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 1 into 1 0.805 * [backup-simplify]: Simplify (* 1 1) into 1 0.805 * [backup-simplify]: Simplify (/ 1 1) into 1 0.805 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.805 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.805 * [taylor]: Taking taylor expansion of re in im 0.805 * [backup-simplify]: Simplify re into re 0.805 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.805 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.805 * [backup-simplify]: Simplify (+ 1 0) into 1 0.805 * [backup-simplify]: Simplify (sqrt 1) into 1 0.806 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.806 * [backup-simplify]: Simplify (+ 0 0) into 0 0.807 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.807 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.807 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.807 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.807 * [taylor]: Taking taylor expansion of im in re 0.807 * [backup-simplify]: Simplify im into im 0.807 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.807 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.807 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.807 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.807 * [taylor]: Taking taylor expansion of re in re 0.807 * [backup-simplify]: Simplify 0 into 0 0.807 * [backup-simplify]: Simplify 1 into 1 0.807 * [backup-simplify]: Simplify (* 1 1) into 1 0.808 * [backup-simplify]: Simplify (/ 1 1) into 1 0.808 * [backup-simplify]: Simplify (+ 0 1) into 1 0.808 * [backup-simplify]: Simplify (sqrt 1) into 1 0.808 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.809 * [backup-simplify]: Simplify (+ 0 0) into 0 0.809 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.809 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.809 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.809 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.809 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.809 * [taylor]: Taking taylor expansion of im in re 0.809 * [backup-simplify]: Simplify im into im 0.809 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.810 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.810 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.810 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.810 * [taylor]: Taking taylor expansion of re in re 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify 1 into 1 0.810 * [backup-simplify]: Simplify (* 1 1) into 1 0.810 * [backup-simplify]: Simplify (/ 1 1) into 1 0.810 * [backup-simplify]: Simplify (+ 0 1) into 1 0.811 * [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 in im 0.812 * [backup-simplify]: Simplify 1 into 1 0.812 * [taylor]: Taking taylor expansion of 0 in im 0.812 * [backup-simplify]: Simplify 0 into 0 0.812 * [backup-simplify]: Simplify 1 into 1 0.813 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.814 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.814 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.814 * [taylor]: Taking taylor expansion of 1/2 in im 0.814 * [backup-simplify]: Simplify 1/2 into 1/2 0.814 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.814 * [taylor]: Taking taylor expansion of im in im 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 (/ 1/2 1) into 1/2 0.815 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.815 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify 0 into 0 0.815 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.816 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.817 * [backup-simplify]: Simplify (+ 0 0) into 0 0.817 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.817 * [taylor]: Taking taylor expansion of 0 in im 0.817 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.818 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify 0 into 0 0.818 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.818 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 0.819 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.819 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.819 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.819 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.819 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.819 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.819 * [taylor]: Taking taylor expansion of re in im 0.819 * [backup-simplify]: Simplify re into re 0.819 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.819 * [taylor]: Taking taylor expansion of im in im 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 1 into 1 0.819 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.819 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.819 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.819 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.819 * [backup-simplify]: Simplify (+ 0 0) into 0 0.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.819 * [taylor]: Taking taylor expansion of re in im 0.819 * [backup-simplify]: Simplify re into re 0.819 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.819 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.819 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.819 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.819 * [taylor]: Taking taylor expansion of re in re 0.819 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify 1 into 1 0.820 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.820 * [taylor]: Taking taylor expansion of im in re 0.820 * [backup-simplify]: Simplify im into im 0.820 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.820 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.820 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.820 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.820 * [backup-simplify]: Simplify (+ 0 0) into 0 0.820 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.820 * [taylor]: Taking taylor expansion of re in re 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.820 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.820 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.820 * [taylor]: Taking taylor expansion of re in re 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.820 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.820 * [taylor]: Taking taylor expansion of im in re 0.820 * [backup-simplify]: Simplify im into im 0.820 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.820 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.821 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.821 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.821 * [backup-simplify]: Simplify (+ 0 0) into 0 0.821 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.821 * [taylor]: Taking taylor expansion of re in re 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (- 0) into 0 0.821 * [backup-simplify]: Simplify (+ im 0) into im 0.821 * [taylor]: Taking taylor expansion of im in im 0.821 * [backup-simplify]: Simplify 0 into 0 0.821 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify 0 into 0 0.822 * [backup-simplify]: Simplify (- 1) into -1 0.822 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.822 * [taylor]: Taking taylor expansion of -1 in im 0.822 * [backup-simplify]: Simplify -1 into -1 0.822 * [backup-simplify]: Simplify -1 into -1 0.822 * [backup-simplify]: Simplify 1 into 1 0.822 * [backup-simplify]: Simplify (* 1 1) into 1 0.822 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.823 * [backup-simplify]: Simplify (+ 1 0) into 1 0.823 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.823 * [backup-simplify]: Simplify (- 0) into 0 0.823 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.823 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.823 * [taylor]: Taking taylor expansion of 1/2 in im 0.823 * [backup-simplify]: Simplify 1/2 into 1/2 0.823 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.823 * [taylor]: Taking taylor expansion of im in im 0.823 * [backup-simplify]: Simplify 0 into 0 0.823 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (/ 1 1) into 1 0.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.824 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 0 into 0 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.825 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.825 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.826 * [backup-simplify]: Simplify (- 0) into 0 0.826 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [taylor]: Taking taylor expansion of 0 in im 0.826 * [backup-simplify]: Simplify 0 into 0 0.826 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.827 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.827 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 0.828 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.828 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.828 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.828 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.828 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.828 * [taylor]: Taking taylor expansion of im in im 0.828 * [backup-simplify]: Simplify 0 into 0 0.828 * [backup-simplify]: Simplify 1 into 1 0.828 * [backup-simplify]: Simplify (* 1 1) into 1 0.828 * [backup-simplify]: Simplify (/ 1 1) into 1 0.828 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.828 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.828 * [taylor]: Taking taylor expansion of re in im 0.828 * [backup-simplify]: Simplify re into re 0.828 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.828 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.829 * [backup-simplify]: Simplify (+ 1 0) into 1 0.829 * [backup-simplify]: Simplify (sqrt 1) into 1 0.829 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.830 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.830 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.830 * [taylor]: Taking taylor expansion of re in im 0.830 * [backup-simplify]: Simplify re into re 0.830 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.830 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.830 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.830 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.830 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.830 * [taylor]: Taking taylor expansion of im in re 0.830 * [backup-simplify]: Simplify im into im 0.830 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.830 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.830 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.830 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.830 * [taylor]: Taking taylor expansion of re in re 0.830 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 1 into 1 0.831 * [backup-simplify]: Simplify (* 1 1) into 1 0.831 * [backup-simplify]: Simplify (/ 1 1) into 1 0.831 * [backup-simplify]: Simplify (+ 0 1) into 1 0.831 * [backup-simplify]: Simplify (sqrt 1) into 1 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ 0 0) into 0 0.833 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.833 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.833 * [taylor]: Taking taylor expansion of re in re 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.833 * [backup-simplify]: Simplify (/ 1 1) into 1 0.833 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.833 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.833 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.833 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.833 * [taylor]: Taking taylor expansion of im in re 0.833 * [backup-simplify]: Simplify im into im 0.833 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.833 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.833 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.833 * [taylor]: Taking taylor expansion of re in re 0.833 * [backup-simplify]: Simplify 0 into 0 0.833 * [backup-simplify]: Simplify 1 into 1 0.834 * [backup-simplify]: Simplify (* 1 1) into 1 0.834 * [backup-simplify]: Simplify (/ 1 1) into 1 0.834 * [backup-simplify]: Simplify (+ 0 1) into 1 0.834 * [backup-simplify]: Simplify (sqrt 1) into 1 0.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ 0 0) into 0 0.836 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.836 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.836 * [taylor]: Taking taylor expansion of re in re 0.836 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify 1 into 1 0.836 * [backup-simplify]: Simplify (/ 1 1) into 1 0.836 * [backup-simplify]: Simplify (- 1) into -1 0.836 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.836 * [taylor]: Taking taylor expansion of 0 in im 0.836 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (- 0) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.837 * [taylor]: Taking taylor expansion of 0 in im 0.837 * [backup-simplify]: Simplify 0 into 0 0.837 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.838 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.839 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.840 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.840 * [backup-simplify]: Simplify (- 0) into 0 0.840 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.840 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.840 * [taylor]: Taking taylor expansion of 1/2 in im 0.840 * [backup-simplify]: Simplify 1/2 into 1/2 0.840 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.840 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.840 * [taylor]: Taking taylor expansion of im in im 0.840 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify 1 into 1 0.840 * [backup-simplify]: Simplify (* 1 1) into 1 0.841 * [backup-simplify]: Simplify (/ 1 1) into 1 0.841 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.842 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify 0 into 0 0.842 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.842 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.843 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.843 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.844 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.844 * [backup-simplify]: Simplify (- 0) into 0 0.844 * [backup-simplify]: Simplify (+ 0 0) into 0 0.844 * [taylor]: Taking taylor expansion of 0 in im 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.845 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.846 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 0.846 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.846 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.846 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.846 * [taylor]: Taking taylor expansion of re in im 0.846 * [backup-simplify]: Simplify re into re 0.846 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.846 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.847 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.847 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.847 * [taylor]: Taking taylor expansion of im in im 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (* 1 1) into 1 0.847 * [backup-simplify]: Simplify (/ 1 1) into 1 0.847 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.847 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.847 * [taylor]: Taking taylor expansion of re in im 0.847 * [backup-simplify]: Simplify re into re 0.847 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.847 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.847 * [backup-simplify]: Simplify (+ 1 0) into 1 0.848 * [backup-simplify]: Simplify (sqrt 1) into 1 0.848 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.848 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.849 * [backup-simplify]: Simplify (+ 0 0) into 0 0.849 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.849 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.849 * [taylor]: Taking taylor expansion of re in re 0.849 * [backup-simplify]: Simplify 0 into 0 0.849 * [backup-simplify]: Simplify 1 into 1 0.849 * [backup-simplify]: Simplify (/ 1 1) into 1 0.849 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.849 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.849 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.849 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.849 * [taylor]: Taking taylor expansion of im in re 0.849 * [backup-simplify]: Simplify im into im 0.850 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.850 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.850 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.850 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.850 * [taylor]: Taking taylor expansion of re in re 0.850 * [backup-simplify]: Simplify 0 into 0 0.850 * [backup-simplify]: Simplify 1 into 1 0.850 * [backup-simplify]: Simplify (* 1 1) into 1 0.850 * [backup-simplify]: Simplify (/ 1 1) into 1 0.850 * [backup-simplify]: Simplify (+ 0 1) into 1 0.851 * [backup-simplify]: Simplify (sqrt 1) into 1 0.851 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.851 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.851 * [backup-simplify]: Simplify (+ 0 0) into 0 0.852 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.852 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.852 * [taylor]: Taking taylor expansion of re in re 0.852 * [backup-simplify]: Simplify 0 into 0 0.852 * [backup-simplify]: Simplify 1 into 1 0.852 * [backup-simplify]: Simplify (/ 1 1) into 1 0.852 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.852 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.852 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.852 * [taylor]: Taking taylor expansion of im in re 0.852 * [backup-simplify]: Simplify im into im 0.852 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.852 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.852 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.852 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.852 * [taylor]: Taking taylor expansion of re in re 0.853 * [backup-simplify]: Simplify 0 into 0 0.853 * [backup-simplify]: Simplify 1 into 1 0.853 * [backup-simplify]: Simplify (* 1 1) into 1 0.853 * [backup-simplify]: Simplify (/ 1 1) into 1 0.853 * [backup-simplify]: Simplify (+ 0 1) into 1 0.854 * [backup-simplify]: Simplify (sqrt 1) into 1 0.854 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.854 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.855 * [backup-simplify]: Simplify (+ 0 0) into 0 0.855 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.855 * [backup-simplify]: Simplify (+ 1 1) into 2 0.855 * [taylor]: Taking taylor expansion of 2 in im 0.855 * [backup-simplify]: Simplify 2 into 2 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.856 * [backup-simplify]: Simplify (+ 0 0) into 0 0.856 * [taylor]: Taking taylor expansion of 0 in im 0.856 * [backup-simplify]: Simplify 0 into 0 0.856 * [backup-simplify]: Simplify 2 into 2 0.856 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.857 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.857 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.858 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.858 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.858 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.858 * [taylor]: Taking taylor expansion of 1/2 in im 0.858 * [backup-simplify]: Simplify 1/2 into 1/2 0.858 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.858 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.858 * [taylor]: Taking taylor expansion of im in im 0.858 * [backup-simplify]: Simplify 0 into 0 0.858 * [backup-simplify]: Simplify 1 into 1 0.859 * [backup-simplify]: Simplify (* 1 1) into 1 0.859 * [backup-simplify]: Simplify (/ 1 1) into 1 0.859 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.860 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.860 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.861 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.861 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.861 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.862 * [backup-simplify]: Simplify (+ 0 0) into 0 0.862 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.863 * [backup-simplify]: Simplify (+ 0 0) into 0 0.863 * [taylor]: Taking taylor expansion of 0 in im 0.863 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.866 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.867 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.867 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 0.867 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 0.867 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.867 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.867 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.867 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.867 * [taylor]: Taking taylor expansion of re in im 0.867 * [backup-simplify]: Simplify re into re 0.867 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.867 * [taylor]: Taking taylor expansion of im in im 0.867 * [backup-simplify]: Simplify 0 into 0 0.867 * [backup-simplify]: Simplify 1 into 1 0.867 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.867 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.868 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.868 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.868 * [backup-simplify]: Simplify (+ 0 0) into 0 0.868 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.868 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.868 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.868 * [taylor]: Taking taylor expansion of (pow re 2) 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 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.868 * [taylor]: Taking taylor expansion of im in re 0.868 * [backup-simplify]: Simplify im into im 0.868 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.868 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.868 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.868 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.869 * [backup-simplify]: Simplify (+ 0 0) into 0 0.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.869 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.869 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.869 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.869 * [taylor]: Taking taylor expansion of re in re 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.869 * [taylor]: Taking taylor expansion of im in re 0.869 * [backup-simplify]: Simplify im into im 0.869 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.869 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.869 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.869 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.869 * [backup-simplify]: Simplify (+ 0 0) into 0 0.869 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.869 * [taylor]: Taking taylor expansion of im in im 0.869 * [backup-simplify]: Simplify 0 into 0 0.869 * [backup-simplify]: Simplify 1 into 1 0.869 * [backup-simplify]: Simplify 0 into 0 0.870 * [taylor]: Taking taylor expansion of 0 in im 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 0 into 0 0.870 * [backup-simplify]: Simplify 1 into 1 0.870 * [backup-simplify]: Simplify (* 1 1) into 1 0.870 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.870 * [backup-simplify]: Simplify (+ 1 0) into 1 0.871 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.871 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.871 * [taylor]: Taking taylor expansion of 1/2 in im 0.871 * [backup-simplify]: Simplify 1/2 into 1/2 0.871 * [taylor]: Taking taylor expansion of im in im 0.871 * [backup-simplify]: Simplify 0 into 0 0.871 * [backup-simplify]: Simplify 1 into 1 0.871 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.872 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify 0 into 0 0.872 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.872 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.873 * [backup-simplify]: Simplify (+ 0 0) into 0 0.873 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.873 * [taylor]: Taking taylor expansion of 0 in im 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify 0 into 0 0.873 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.874 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.874 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.874 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.874 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.874 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.874 * [taylor]: Taking taylor expansion of im in im 0.874 * [backup-simplify]: Simplify 0 into 0 0.874 * [backup-simplify]: Simplify 1 into 1 0.874 * [backup-simplify]: Simplify (* 1 1) into 1 0.874 * [backup-simplify]: Simplify (/ 1 1) into 1 0.874 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.874 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.874 * [taylor]: Taking taylor expansion of re in im 0.874 * [backup-simplify]: Simplify re into re 0.874 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.874 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.875 * [backup-simplify]: Simplify (+ 1 0) into 1 0.875 * [backup-simplify]: Simplify (sqrt 1) into 1 0.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.876 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.876 * [backup-simplify]: Simplify (+ 0 0) into 0 0.876 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.876 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.876 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.876 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.876 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.876 * [taylor]: Taking taylor expansion of im in re 0.876 * [backup-simplify]: Simplify im into im 0.876 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.877 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.877 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.877 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.877 * [taylor]: Taking taylor expansion of re in re 0.877 * [backup-simplify]: Simplify 0 into 0 0.877 * [backup-simplify]: Simplify 1 into 1 0.877 * [backup-simplify]: Simplify (* 1 1) into 1 0.877 * [backup-simplify]: Simplify (/ 1 1) into 1 0.877 * [backup-simplify]: Simplify (+ 0 1) into 1 0.878 * [backup-simplify]: Simplify (sqrt 1) into 1 0.878 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.878 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.879 * [backup-simplify]: Simplify (+ 0 0) into 0 0.879 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.879 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.879 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.879 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.879 * [taylor]: Taking taylor expansion of im in re 0.879 * [backup-simplify]: Simplify im into im 0.879 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.879 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.879 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.880 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.880 * [taylor]: Taking taylor expansion of re in re 0.880 * [backup-simplify]: Simplify 0 into 0 0.880 * [backup-simplify]: Simplify 1 into 1 0.880 * [backup-simplify]: Simplify (* 1 1) into 1 0.880 * [backup-simplify]: Simplify (/ 1 1) into 1 0.880 * [backup-simplify]: Simplify (+ 0 1) into 1 0.880 * [backup-simplify]: Simplify (sqrt 1) into 1 0.881 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.881 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.881 * [backup-simplify]: Simplify (+ 0 0) into 0 0.882 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.882 * [taylor]: Taking taylor expansion of 1 in im 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [taylor]: Taking taylor expansion of 0 in im 0.882 * [backup-simplify]: Simplify 0 into 0 0.882 * [backup-simplify]: Simplify 1 into 1 0.882 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.883 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.883 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.884 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.884 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.884 * [taylor]: Taking taylor expansion of 1/2 in im 0.884 * [backup-simplify]: Simplify 1/2 into 1/2 0.884 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.884 * [taylor]: Taking taylor expansion of im in im 0.884 * [backup-simplify]: Simplify 0 into 0 0.884 * [backup-simplify]: Simplify 1 into 1 0.884 * [backup-simplify]: Simplify (* 1 1) into 1 0.884 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.885 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.885 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify 0 into 0 0.885 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.886 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.886 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.887 * [backup-simplify]: Simplify (+ 0 0) into 0 0.887 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.887 * [taylor]: Taking taylor expansion of 0 in im 0.887 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.888 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify 0 into 0 0.888 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.889 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.889 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.889 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.889 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.889 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.889 * [taylor]: Taking taylor expansion of im in im 0.889 * [backup-simplify]: Simplify 0 into 0 0.889 * [backup-simplify]: Simplify 1 into 1 0.889 * [backup-simplify]: Simplify (* 1 1) into 1 0.889 * [backup-simplify]: Simplify (/ 1 1) into 1 0.889 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.889 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.889 * [taylor]: Taking taylor expansion of re in im 0.889 * [backup-simplify]: Simplify re into re 0.889 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.889 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.890 * [backup-simplify]: Simplify (+ 1 0) into 1 0.890 * [backup-simplify]: Simplify (sqrt 1) into 1 0.890 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.891 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.891 * [backup-simplify]: Simplify (+ 0 0) into 0 0.891 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.891 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.891 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.891 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.891 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.891 * [taylor]: Taking taylor expansion of im in re 0.891 * [backup-simplify]: Simplify im into im 0.891 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.892 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.892 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.892 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.892 * [taylor]: Taking taylor expansion of re in re 0.892 * [backup-simplify]: Simplify 0 into 0 0.892 * [backup-simplify]: Simplify 1 into 1 0.892 * [backup-simplify]: Simplify (* 1 1) into 1 0.892 * [backup-simplify]: Simplify (/ 1 1) into 1 0.892 * [backup-simplify]: Simplify (+ 0 1) into 1 0.892 * [backup-simplify]: Simplify (sqrt 1) into 1 0.893 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.893 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.893 * [backup-simplify]: Simplify (+ 0 0) into 0 0.894 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.894 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.894 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.894 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.894 * [taylor]: Taking taylor expansion of im in re 0.894 * [backup-simplify]: Simplify im into im 0.894 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.894 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.894 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.894 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.894 * [taylor]: Taking taylor expansion of re in re 0.894 * [backup-simplify]: Simplify 0 into 0 0.894 * [backup-simplify]: Simplify 1 into 1 0.894 * [backup-simplify]: Simplify (* 1 1) into 1 0.895 * [backup-simplify]: Simplify (/ 1 1) into 1 0.895 * [backup-simplify]: Simplify (+ 0 1) into 1 0.895 * [backup-simplify]: Simplify (sqrt 1) into 1 0.895 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.896 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.896 * [backup-simplify]: Simplify (+ 0 0) into 0 0.896 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.896 * [taylor]: Taking taylor expansion of 1 in im 0.896 * [backup-simplify]: Simplify 1 into 1 0.897 * [taylor]: Taking taylor expansion of 0 in im 0.897 * [backup-simplify]: Simplify 0 into 0 0.897 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.898 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.898 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.898 * [taylor]: Taking taylor expansion of 1/2 in im 0.898 * [backup-simplify]: Simplify 1/2 into 1/2 0.899 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.899 * [taylor]: Taking taylor expansion of im in im 0.899 * [backup-simplify]: Simplify 0 into 0 0.899 * [backup-simplify]: Simplify 1 into 1 0.899 * [backup-simplify]: Simplify (* 1 1) into 1 0.899 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.900 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify 0 into 0 0.900 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.900 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.901 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (+ 0 0) into 0 0.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.902 * [taylor]: Taking taylor expansion of 0 in im 0.902 * [backup-simplify]: Simplify 0 into 0 0.902 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.903 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 0.903 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.903 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.903 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.903 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.903 * [taylor]: Taking taylor expansion of re in im 0.903 * [backup-simplify]: Simplify re into re 0.903 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.903 * [taylor]: Taking taylor expansion of im in im 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.904 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.904 * [taylor]: Taking taylor expansion of re in re 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.904 * [taylor]: Taking taylor expansion of im in re 0.904 * [backup-simplify]: Simplify im into im 0.904 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.904 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.904 * [taylor]: Taking taylor expansion of re in re 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.904 * [taylor]: Taking taylor expansion of im in re 0.904 * [backup-simplify]: Simplify im into im 0.904 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.904 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.904 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.904 * [taylor]: Taking taylor expansion of im in im 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 1 into 1 0.904 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.904 * [backup-simplify]: Simplify (+ 0 0) into 0 0.904 * [taylor]: Taking taylor expansion of 0 in im 0.904 * [backup-simplify]: Simplify 0 into 0 0.904 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.905 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.905 * [backup-simplify]: Simplify (+ 1 0) into 1 0.905 * [taylor]: Taking taylor expansion of 1 in im 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify 1 into 1 0.905 * [backup-simplify]: Simplify 0 into 0 0.905 * [backup-simplify]: Simplify (* 1 1) into 1 0.905 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.906 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.906 * [backup-simplify]: Simplify (+ 0 0) into 0 0.906 * [taylor]: Taking taylor expansion of 0 in im 0.906 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.907 * [backup-simplify]: Simplify 0 into 0 0.907 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.908 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.908 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [taylor]: Taking taylor expansion of 0 in im 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 0 into 0 0.908 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.909 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.909 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.909 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.909 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.909 * [taylor]: Taking taylor expansion of im in im 0.909 * [backup-simplify]: Simplify 0 into 0 0.909 * [backup-simplify]: Simplify 1 into 1 0.909 * [backup-simplify]: Simplify (* 1 1) into 1 0.909 * [backup-simplify]: Simplify (/ 1 1) into 1 0.909 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.909 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.909 * [taylor]: Taking taylor expansion of re in im 0.909 * [backup-simplify]: Simplify re into re 0.909 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.909 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.910 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.910 * [taylor]: Taking taylor expansion of im in re 0.910 * [backup-simplify]: Simplify im into im 0.910 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.910 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.910 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.910 * [taylor]: Taking taylor expansion of re in re 0.910 * [backup-simplify]: Simplify 0 into 0 0.910 * [backup-simplify]: Simplify 1 into 1 0.910 * [backup-simplify]: Simplify (* 1 1) into 1 0.910 * [backup-simplify]: Simplify (/ 1 1) into 1 0.910 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.910 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.910 * [taylor]: Taking taylor expansion of im in re 0.910 * [backup-simplify]: Simplify im into im 0.910 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.910 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.910 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.910 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.910 * [taylor]: Taking taylor expansion of re in re 0.911 * [backup-simplify]: Simplify 0 into 0 0.911 * [backup-simplify]: Simplify 1 into 1 0.911 * [backup-simplify]: Simplify (* 1 1) into 1 0.911 * [backup-simplify]: Simplify (/ 1 1) into 1 0.911 * [backup-simplify]: Simplify (+ 0 1) into 1 0.911 * [taylor]: Taking taylor expansion of 1 in im 0.911 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.912 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.912 * [backup-simplify]: Simplify (+ 0 0) into 0 0.912 * [taylor]: Taking taylor expansion of 0 in im 0.912 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.913 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.913 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.913 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.913 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.913 * [taylor]: Taking taylor expansion of im in im 0.913 * [backup-simplify]: Simplify 0 into 0 0.913 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (* 1 1) into 1 0.914 * [backup-simplify]: Simplify (/ 1 1) into 1 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify 1 into 1 0.914 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.914 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.915 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.915 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.915 * [backup-simplify]: Simplify (+ 0 0) into 0 0.915 * [taylor]: Taking taylor expansion of 0 in im 0.915 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.916 * [backup-simplify]: Simplify 0 into 0 0.917 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.917 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.917 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.918 * [taylor]: Taking taylor expansion of 0 in im 0.918 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify 0 into 0 0.919 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.920 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.920 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.920 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.920 * [taylor]: Taking taylor expansion of im in im 0.920 * [backup-simplify]: Simplify 0 into 0 0.920 * [backup-simplify]: Simplify 1 into 1 0.920 * [backup-simplify]: Simplify (* 1 1) into 1 0.920 * [backup-simplify]: Simplify (/ 1 1) into 1 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.920 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.920 * [taylor]: Taking taylor expansion of re in im 0.920 * [backup-simplify]: Simplify re into re 0.920 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.920 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.920 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.920 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.920 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.920 * [taylor]: Taking taylor expansion of im in re 0.920 * [backup-simplify]: Simplify im into im 0.920 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.921 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.921 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.921 * [taylor]: Taking taylor expansion of re in re 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.921 * [backup-simplify]: Simplify (* 1 1) into 1 0.921 * [backup-simplify]: Simplify (/ 1 1) into 1 0.921 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.921 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.921 * [taylor]: Taking taylor expansion of im in re 0.921 * [backup-simplify]: Simplify im into im 0.921 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.921 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.921 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.921 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.921 * [taylor]: Taking taylor expansion of re in re 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 1 into 1 0.922 * [backup-simplify]: Simplify (* 1 1) into 1 0.922 * [backup-simplify]: Simplify (/ 1 1) into 1 0.922 * [backup-simplify]: Simplify (+ 0 1) into 1 0.922 * [taylor]: Taking taylor expansion of 1 in im 0.922 * [backup-simplify]: Simplify 1 into 1 0.923 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.923 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.923 * [taylor]: Taking taylor expansion of 0 in im 0.923 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.924 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.924 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.924 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.924 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.924 * [taylor]: Taking taylor expansion of im in im 0.924 * [backup-simplify]: Simplify 0 into 0 0.924 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (* 1 1) into 1 0.925 * [backup-simplify]: Simplify (/ 1 1) into 1 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify 1 into 1 0.925 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.926 * [backup-simplify]: Simplify (+ 0 0) into 0 0.926 * [taylor]: Taking taylor expansion of 0 in im 0.926 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.927 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify 0 into 0 0.927 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.928 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.928 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.929 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (+ 0 0) into 0 0.929 * [taylor]: Taking taylor expansion of 0 in im 0.929 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.930 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify 0 into 0 0.930 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.930 * * * [progress]: simplifying candidates 0.931 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (- re) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.932 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (exp (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp h0)) (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (exp (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (* (cbrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (cbrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (cbrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (* (* (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (sqrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (sqrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (- (pow (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) 3) (pow h0 3)) (+ (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (+ (* h0 h0) (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (- h0) (- (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* h0 h0)) (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (+ (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (- (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (+ (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (- (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (+ (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (- (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (- h0) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (exp (sqrt (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (exp (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))))) (exp (log (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log 1)) (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))) (exp (log (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))))) (exp (log (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))) (exp (log (sqrt (- (* h0 h0) (* h1 h1))))) (log (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (exp (* h0 h0)) (exp (* h1 h1))) (log (+ (* h0 h0) (* h1 h1))) (exp (+ (* h0 h0) (* h1 h1))) (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1)))) (cbrt (+ (* h0 h0) (* h1 h1))) (* (* (+ (* h0 h0) (* h1 h1)) (+ (* h0 h0) (* h1 h1))) (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1))) (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3)) (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1)))) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1))) (- (* h0 h0) (* h1 h1)) h1 h0 (* -1 h0) (- h1 h0) 0 (* -2 h0) h1 h0 (* -1 h0) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) (+ (pow h0 2) (pow h1 2)) 0.936 * * [simplify]: iteration 0 : 223 enodes (cost 519 ) 0.940 * * [simplify]: iteration 1 : 737 enodes (cost 467 ) 0.949 * * [simplify]: iteration 2 : 2078 enodes (cost 451 ) 0.991 * * [simplify]: iteration 3 : 5001 enodes (cost 442 ) 0.994 * * * [progress]: adding candidates to table 1.174 * * [progress]: iteration 3 / 4 1.174 * * * [progress]: picking best candidate 1.191 * * * * [pick]: Picked # 1.191 * * * [progress]: localizing error 1.210 * * * [progress]: generating rewritten candidates 1.210 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1) 1.217 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1) 1.278 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.288 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.333 * * * [progress]: generating series expansions 1.333 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1 1 1) 1.333 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.333 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.333 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.333 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.333 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.333 * [taylor]: Taking taylor expansion of re in im 1.333 * [backup-simplify]: Simplify re into re 1.333 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.333 * [taylor]: Taking taylor expansion of im in im 1.333 * [backup-simplify]: Simplify 0 into 0 1.333 * [backup-simplify]: Simplify 1 into 1 1.333 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.333 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.333 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.333 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.334 * [backup-simplify]: Simplify (+ 0 0) into 0 1.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.334 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.334 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.334 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.334 * [taylor]: Taking taylor expansion of re in re 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.334 * [taylor]: Taking taylor expansion of im in re 1.334 * [backup-simplify]: Simplify im into im 1.334 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.334 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.334 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.334 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.335 * [backup-simplify]: Simplify (+ 0 0) into 0 1.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.335 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.335 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.335 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.335 * [taylor]: Taking taylor expansion of re in re 1.335 * [backup-simplify]: Simplify 0 into 0 1.335 * [backup-simplify]: Simplify 1 into 1 1.335 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.335 * [taylor]: Taking taylor expansion of im in re 1.335 * [backup-simplify]: Simplify im into im 1.335 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.335 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.335 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.335 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.335 * [backup-simplify]: Simplify (+ 0 0) into 0 1.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.335 * [taylor]: Taking taylor expansion of im in im 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [taylor]: Taking taylor expansion of 0 in im 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 0 into 0 1.336 * [backup-simplify]: Simplify 1 into 1 1.336 * [backup-simplify]: Simplify (* 1 1) into 1 1.336 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.336 * [backup-simplify]: Simplify (+ 1 0) into 1 1.337 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.337 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.337 * [taylor]: Taking taylor expansion of 1/2 in im 1.337 * [backup-simplify]: Simplify 1/2 into 1/2 1.337 * [taylor]: Taking taylor expansion of im in im 1.337 * [backup-simplify]: Simplify 0 into 0 1.337 * [backup-simplify]: Simplify 1 into 1 1.337 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.339 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.339 * [backup-simplify]: Simplify (+ 0 0) into 0 1.339 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.339 * [taylor]: Taking taylor expansion of 0 in im 1.339 * [backup-simplify]: Simplify 0 into 0 1.339 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.340 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.340 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.340 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.340 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.340 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.340 * [taylor]: Taking taylor expansion of im in im 1.340 * [backup-simplify]: Simplify 0 into 0 1.340 * [backup-simplify]: Simplify 1 into 1 1.340 * [backup-simplify]: Simplify (* 1 1) into 1 1.340 * [backup-simplify]: Simplify (/ 1 1) into 1 1.340 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.340 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.340 * [taylor]: Taking taylor expansion of re in im 1.340 * [backup-simplify]: Simplify re into re 1.340 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.341 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.341 * [backup-simplify]: Simplify (+ 1 0) into 1 1.341 * [backup-simplify]: Simplify (sqrt 1) into 1 1.341 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.342 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.342 * [backup-simplify]: Simplify (+ 0 0) into 0 1.342 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.342 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.342 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.343 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.343 * [taylor]: Taking taylor expansion of im in re 1.343 * [backup-simplify]: Simplify im into im 1.343 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.343 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.343 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.343 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.343 * [taylor]: Taking taylor expansion of re in re 1.343 * [backup-simplify]: Simplify 0 into 0 1.343 * [backup-simplify]: Simplify 1 into 1 1.343 * [backup-simplify]: Simplify (* 1 1) into 1 1.343 * [backup-simplify]: Simplify (/ 1 1) into 1 1.343 * [backup-simplify]: Simplify (+ 0 1) into 1 1.344 * [backup-simplify]: Simplify (sqrt 1) into 1 1.344 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.345 * [backup-simplify]: Simplify (+ 0 0) into 0 1.345 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.345 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.345 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.345 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.345 * [taylor]: Taking taylor expansion of im in re 1.345 * [backup-simplify]: Simplify im into im 1.345 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.345 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.345 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.345 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.345 * [taylor]: Taking taylor expansion of re in re 1.345 * [backup-simplify]: Simplify 0 into 0 1.345 * [backup-simplify]: Simplify 1 into 1 1.346 * [backup-simplify]: Simplify (* 1 1) into 1 1.346 * [backup-simplify]: Simplify (/ 1 1) into 1 1.346 * [backup-simplify]: Simplify (+ 0 1) into 1 1.346 * [backup-simplify]: Simplify (sqrt 1) into 1 1.347 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.347 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.347 * [backup-simplify]: Simplify (+ 0 0) into 0 1.348 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.348 * [taylor]: Taking taylor expansion of 1 in im 1.348 * [backup-simplify]: Simplify 1 into 1 1.348 * [taylor]: Taking taylor expansion of 0 in im 1.348 * [backup-simplify]: Simplify 0 into 0 1.348 * [backup-simplify]: Simplify 1 into 1 1.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.349 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.350 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.350 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.350 * [taylor]: Taking taylor expansion of 1/2 in im 1.350 * [backup-simplify]: Simplify 1/2 into 1/2 1.350 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.350 * [taylor]: Taking taylor expansion of im in im 1.350 * [backup-simplify]: Simplify 0 into 0 1.350 * [backup-simplify]: Simplify 1 into 1 1.350 * [backup-simplify]: Simplify (* 1 1) into 1 1.350 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.351 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.351 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify 0 into 0 1.351 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.351 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.352 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.353 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.353 * [taylor]: Taking taylor expansion of 0 in im 1.353 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.355 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.355 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.355 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.355 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.355 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.355 * [taylor]: Taking taylor expansion of im in im 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify (* 1 1) into 1 1.355 * [backup-simplify]: Simplify (/ 1 1) into 1 1.355 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.355 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.355 * [taylor]: Taking taylor expansion of re in im 1.355 * [backup-simplify]: Simplify re into re 1.355 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.355 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.356 * [backup-simplify]: Simplify (+ 1 0) into 1 1.356 * [backup-simplify]: Simplify (sqrt 1) into 1 1.356 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.357 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.357 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.357 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.357 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [backup-simplify]: Simplify im into im 1.357 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.357 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.357 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.357 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.358 * [taylor]: Taking taylor expansion of re in re 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify (* 1 1) into 1 1.358 * [backup-simplify]: Simplify (/ 1 1) into 1 1.358 * [backup-simplify]: Simplify (+ 0 1) into 1 1.358 * [backup-simplify]: Simplify (sqrt 1) into 1 1.359 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.359 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.359 * [backup-simplify]: Simplify (+ 0 0) into 0 1.360 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.360 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.360 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.360 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.360 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.360 * [taylor]: Taking taylor expansion of im in re 1.360 * [backup-simplify]: Simplify im into im 1.360 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.360 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.360 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.360 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.360 * [taylor]: Taking taylor expansion of re in re 1.360 * [backup-simplify]: Simplify 0 into 0 1.360 * [backup-simplify]: Simplify 1 into 1 1.360 * [backup-simplify]: Simplify (* 1 1) into 1 1.361 * [backup-simplify]: Simplify (/ 1 1) into 1 1.361 * [backup-simplify]: Simplify (+ 0 1) into 1 1.361 * [backup-simplify]: Simplify (sqrt 1) into 1 1.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.362 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.362 * [backup-simplify]: Simplify (+ 0 0) into 0 1.362 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.362 * [taylor]: Taking taylor expansion of 1 in im 1.362 * [backup-simplify]: Simplify 1 into 1 1.362 * [taylor]: Taking taylor expansion of 0 in im 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 1 into 1 1.363 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.364 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.364 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.364 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.364 * [taylor]: Taking taylor expansion of 1/2 in im 1.364 * [backup-simplify]: Simplify 1/2 into 1/2 1.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.364 * [backup-simplify]: Simplify 0 into 0 1.365 * [backup-simplify]: Simplify 1 into 1 1.365 * [backup-simplify]: Simplify (* 1 1) into 1 1.365 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.366 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify 0 into 0 1.366 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.367 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.367 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.367 * [backup-simplify]: Simplify (+ 0 0) into 0 1.368 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.368 * [taylor]: Taking taylor expansion of 0 in im 1.368 * [backup-simplify]: Simplify 0 into 0 1.368 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.369 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.369 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1) 1.369 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 1.369 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 1.369 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.369 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.369 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.369 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.369 * [taylor]: Taking taylor expansion of re in im 1.369 * [backup-simplify]: Simplify re into re 1.369 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.369 * [taylor]: Taking taylor expansion of im in im 1.369 * [backup-simplify]: Simplify 0 into 0 1.369 * [backup-simplify]: Simplify 1 into 1 1.369 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.370 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.370 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.370 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.370 * [backup-simplify]: Simplify (+ 0 0) into 0 1.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.370 * [taylor]: Taking taylor expansion of re in im 1.370 * [backup-simplify]: Simplify re into re 1.370 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.370 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.370 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.370 * [taylor]: Taking taylor expansion of re in re 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.370 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.370 * [taylor]: Taking taylor expansion of im in re 1.370 * [backup-simplify]: Simplify im into im 1.370 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.370 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.370 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.370 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.371 * [backup-simplify]: Simplify (+ 0 0) into 0 1.371 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.371 * [taylor]: Taking taylor expansion of re in re 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.371 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.371 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.371 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.371 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.371 * [taylor]: Taking taylor expansion of re in re 1.371 * [backup-simplify]: Simplify 0 into 0 1.371 * [backup-simplify]: Simplify 1 into 1 1.371 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.371 * [taylor]: Taking taylor expansion of im in re 1.371 * [backup-simplify]: Simplify im into im 1.371 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.371 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.371 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.371 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.372 * [backup-simplify]: Simplify (+ 0 0) into 0 1.372 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.372 * [taylor]: Taking taylor expansion of re in re 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.372 * [backup-simplify]: Simplify (- 0) into 0 1.372 * [backup-simplify]: Simplify (+ im 0) into im 1.372 * [taylor]: Taking taylor expansion of im in im 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify 1 into 1 1.372 * [backup-simplify]: Simplify 0 into 0 1.372 * [backup-simplify]: Simplify (- 1) into -1 1.373 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.373 * [taylor]: Taking taylor expansion of -1 in im 1.373 * [backup-simplify]: Simplify -1 into -1 1.373 * [backup-simplify]: Simplify -1 into -1 1.373 * [backup-simplify]: Simplify 1 into 1 1.373 * [backup-simplify]: Simplify (* 1 1) into 1 1.373 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.373 * [backup-simplify]: Simplify (+ 1 0) into 1 1.374 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.374 * [backup-simplify]: Simplify (- 0) into 0 1.374 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.374 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.374 * [taylor]: Taking taylor expansion of 1/2 in im 1.374 * [backup-simplify]: Simplify 1/2 into 1/2 1.374 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.374 * [taylor]: Taking taylor expansion of im in im 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 1 into 1 1.374 * [backup-simplify]: Simplify (/ 1 1) into 1 1.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.375 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.376 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.376 * [backup-simplify]: Simplify (+ 0 0) into 0 1.376 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.377 * [backup-simplify]: Simplify (- 0) into 0 1.377 * [backup-simplify]: Simplify (+ 0 0) into 0 1.377 * [taylor]: Taking taylor expansion of 0 in im 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify 0 into 0 1.377 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.378 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1.378 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.378 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.378 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.378 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.378 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.378 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.378 * [taylor]: Taking taylor expansion of im in im 1.378 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify 1 into 1 1.379 * [backup-simplify]: Simplify (* 1 1) into 1 1.379 * [backup-simplify]: Simplify (/ 1 1) into 1 1.379 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.379 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.379 * [taylor]: Taking taylor expansion of re in im 1.379 * [backup-simplify]: Simplify re into re 1.379 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.379 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.379 * [backup-simplify]: Simplify (+ 1 0) into 1 1.380 * [backup-simplify]: Simplify (sqrt 1) into 1 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.380 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (+ 0 0) into 0 1.381 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.381 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.381 * [taylor]: Taking taylor expansion of re in im 1.381 * [backup-simplify]: Simplify re into re 1.381 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.381 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.381 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.381 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.381 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.381 * [taylor]: Taking taylor expansion of im in re 1.381 * [backup-simplify]: Simplify im into im 1.381 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.381 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.381 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.381 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.381 * [taylor]: Taking taylor expansion of re in re 1.381 * [backup-simplify]: Simplify 0 into 0 1.381 * [backup-simplify]: Simplify 1 into 1 1.382 * [backup-simplify]: Simplify (* 1 1) into 1 1.382 * [backup-simplify]: Simplify (/ 1 1) into 1 1.382 * [backup-simplify]: Simplify (+ 0 1) into 1 1.382 * [backup-simplify]: Simplify (sqrt 1) into 1 1.383 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.384 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.384 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.384 * [taylor]: Taking taylor expansion of re in re 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.384 * [backup-simplify]: Simplify (/ 1 1) into 1 1.384 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.384 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.384 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.384 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.384 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.384 * [taylor]: Taking taylor expansion of im in re 1.384 * [backup-simplify]: Simplify im into im 1.384 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.384 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.384 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.384 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.384 * [taylor]: Taking taylor expansion of re in re 1.384 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify 1 into 1 1.385 * [backup-simplify]: Simplify (* 1 1) into 1 1.385 * [backup-simplify]: Simplify (/ 1 1) into 1 1.385 * [backup-simplify]: Simplify (+ 0 1) into 1 1.385 * [backup-simplify]: Simplify (sqrt 1) into 1 1.386 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.386 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.386 * [backup-simplify]: Simplify (+ 0 0) into 0 1.387 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.387 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.387 * [taylor]: Taking taylor expansion of re in re 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.387 * [backup-simplify]: Simplify (/ 1 1) into 1 1.387 * [backup-simplify]: Simplify (- 1) into -1 1.387 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.387 * [taylor]: Taking taylor expansion of 0 in im 1.387 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.388 * [backup-simplify]: Simplify (- 0) into 0 1.388 * [backup-simplify]: Simplify (+ 0 0) into 0 1.388 * [taylor]: Taking taylor expansion of 0 in im 1.388 * [backup-simplify]: Simplify 0 into 0 1.388 * [backup-simplify]: Simplify 0 into 0 1.389 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.389 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.389 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.390 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.391 * [backup-simplify]: Simplify (- 0) into 0 1.391 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.391 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.391 * [taylor]: Taking taylor expansion of 1/2 in im 1.391 * [backup-simplify]: Simplify 1/2 into 1/2 1.391 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.391 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.391 * [taylor]: Taking taylor expansion of im in im 1.391 * [backup-simplify]: Simplify 0 into 0 1.391 * [backup-simplify]: Simplify 1 into 1 1.391 * [backup-simplify]: Simplify (* 1 1) into 1 1.391 * [backup-simplify]: Simplify (/ 1 1) into 1 1.392 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.392 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.393 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.394 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.395 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.395 * [backup-simplify]: Simplify (- 0) into 0 1.395 * [backup-simplify]: Simplify (+ 0 0) into 0 1.395 * [taylor]: Taking taylor expansion of 0 in im 1.395 * [backup-simplify]: Simplify 0 into 0 1.396 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.397 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify (- (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1.397 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.397 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.397 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.397 * [taylor]: Taking taylor expansion of re in im 1.397 * [backup-simplify]: Simplify re into re 1.397 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.398 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.398 * [taylor]: Taking taylor expansion of im in im 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (* 1 1) into 1 1.398 * [backup-simplify]: Simplify (/ 1 1) into 1 1.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.398 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.398 * [taylor]: Taking taylor expansion of re in im 1.398 * [backup-simplify]: Simplify re into re 1.398 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.398 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.398 * [backup-simplify]: Simplify (+ 1 0) into 1 1.399 * [backup-simplify]: Simplify (sqrt 1) into 1 1.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.399 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.400 * [backup-simplify]: Simplify (+ 0 0) into 0 1.403 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.403 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.403 * [taylor]: Taking taylor expansion of re in re 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.403 * [backup-simplify]: Simplify (/ 1 1) into 1 1.403 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.403 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.403 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.403 * [taylor]: Taking taylor expansion of im in re 1.403 * [backup-simplify]: Simplify im into im 1.403 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.403 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.403 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.403 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.403 * [taylor]: Taking taylor expansion of re in re 1.403 * [backup-simplify]: Simplify 0 into 0 1.403 * [backup-simplify]: Simplify 1 into 1 1.404 * [backup-simplify]: Simplify (* 1 1) into 1 1.404 * [backup-simplify]: Simplify (/ 1 1) into 1 1.404 * [backup-simplify]: Simplify (+ 0 1) into 1 1.404 * [backup-simplify]: Simplify (sqrt 1) into 1 1.405 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.405 * [backup-simplify]: Simplify (+ 0 0) into 0 1.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.406 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.406 * [taylor]: Taking taylor expansion of re in re 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.406 * [backup-simplify]: Simplify (/ 1 1) into 1 1.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.406 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.406 * [taylor]: Taking taylor expansion of im in re 1.406 * [backup-simplify]: Simplify im into im 1.406 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.406 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.406 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.406 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.406 * [taylor]: Taking taylor expansion of re in re 1.406 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify 1 into 1 1.407 * [backup-simplify]: Simplify (* 1 1) into 1 1.407 * [backup-simplify]: Simplify (/ 1 1) into 1 1.407 * [backup-simplify]: Simplify (+ 0 1) into 1 1.407 * [backup-simplify]: Simplify (sqrt 1) into 1 1.408 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.408 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.408 * [backup-simplify]: Simplify (+ 0 0) into 0 1.409 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.409 * [backup-simplify]: Simplify (+ 1 1) into 2 1.409 * [taylor]: Taking taylor expansion of 2 in im 1.409 * [backup-simplify]: Simplify 2 into 2 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (+ 0 0) into 0 1.410 * [taylor]: Taking taylor expansion of 0 in im 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 2 into 2 1.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.411 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.411 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.412 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.412 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.413 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.413 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.413 * [taylor]: Taking taylor expansion of 1/2 in im 1.413 * [backup-simplify]: Simplify 1/2 into 1/2 1.413 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.413 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.413 * [taylor]: Taking taylor expansion of im in im 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 1 into 1 1.413 * [backup-simplify]: Simplify (* 1 1) into 1 1.413 * [backup-simplify]: Simplify (/ 1 1) into 1 1.414 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.414 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.414 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.414 * [backup-simplify]: Simplify 0 into 0 1.415 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.415 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.415 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.416 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.417 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [taylor]: Taking taylor expansion of 0 in im 1.417 * [backup-simplify]: Simplify 0 into 0 1.418 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.419 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.419 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1) 1.419 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 1.419 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.419 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.419 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.419 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.419 * [taylor]: Taking taylor expansion of re in im 1.419 * [backup-simplify]: Simplify re into re 1.419 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.419 * [taylor]: Taking taylor expansion of im in im 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify 1 into 1 1.419 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.419 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.420 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.420 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.420 * [backup-simplify]: Simplify (+ 0 0) into 0 1.420 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.420 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.420 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.420 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.420 * [taylor]: Taking taylor expansion of re in re 1.420 * [backup-simplify]: Simplify 0 into 0 1.420 * [backup-simplify]: Simplify 1 into 1 1.420 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.420 * [taylor]: Taking taylor expansion of im in re 1.420 * [backup-simplify]: Simplify im into im 1.420 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.420 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.420 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.420 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.421 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.421 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.421 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.421 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.421 * [taylor]: Taking taylor expansion of re in re 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.421 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.421 * [taylor]: Taking taylor expansion of im in re 1.421 * [backup-simplify]: Simplify im into im 1.421 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.421 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.421 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.421 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.421 * [backup-simplify]: Simplify (+ 0 0) into 0 1.421 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.421 * [taylor]: Taking taylor expansion of im in im 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 1 into 1 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [taylor]: Taking taylor expansion of 0 in im 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 1 into 1 1.422 * [backup-simplify]: Simplify (* 1 1) into 1 1.422 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.422 * [backup-simplify]: Simplify (+ 1 0) into 1 1.423 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.423 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.423 * [taylor]: Taking taylor expansion of 1/2 in im 1.423 * [backup-simplify]: Simplify 1/2 into 1/2 1.423 * [taylor]: Taking taylor expansion of im in im 1.423 * [backup-simplify]: Simplify 0 into 0 1.423 * [backup-simplify]: Simplify 1 into 1 1.423 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.424 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.424 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.425 * [backup-simplify]: Simplify (+ 0 0) into 0 1.425 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.425 * [taylor]: Taking taylor expansion of 0 in im 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.426 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.426 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.426 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.426 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.426 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.426 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.426 * [taylor]: Taking taylor expansion of im in im 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify (* 1 1) into 1 1.426 * [backup-simplify]: Simplify (/ 1 1) into 1 1.426 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.426 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.426 * [taylor]: Taking taylor expansion of re in im 1.426 * [backup-simplify]: Simplify re into re 1.426 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.426 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.427 * [backup-simplify]: Simplify (+ 1 0) into 1 1.427 * [backup-simplify]: Simplify (sqrt 1) into 1 1.427 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.428 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.428 * [backup-simplify]: Simplify (+ 0 0) into 0 1.428 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.428 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.428 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.428 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.428 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.428 * [taylor]: Taking taylor expansion of im in re 1.428 * [backup-simplify]: Simplify im into im 1.428 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.429 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.429 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.429 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.429 * [taylor]: Taking taylor expansion of re in re 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (* 1 1) into 1 1.429 * [backup-simplify]: Simplify (/ 1 1) into 1 1.429 * [backup-simplify]: Simplify (+ 0 1) into 1 1.430 * [backup-simplify]: Simplify (sqrt 1) into 1 1.430 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.430 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.430 * [backup-simplify]: Simplify (+ 0 0) into 0 1.431 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.431 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.431 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.431 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.431 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.431 * [taylor]: Taking taylor expansion of im in re 1.431 * [backup-simplify]: Simplify im into im 1.431 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.431 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.431 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.431 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.431 * [taylor]: Taking taylor expansion of re in re 1.431 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify 1 into 1 1.431 * [backup-simplify]: Simplify (* 1 1) into 1 1.432 * [backup-simplify]: Simplify (/ 1 1) into 1 1.432 * [backup-simplify]: Simplify (+ 0 1) into 1 1.432 * [backup-simplify]: Simplify (sqrt 1) into 1 1.432 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.433 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.433 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.434 * [taylor]: Taking taylor expansion of 1 in im 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [taylor]: Taking taylor expansion of 0 in im 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.435 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.435 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.435 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.436 * [taylor]: Taking taylor expansion of 1/2 in im 1.436 * [backup-simplify]: Simplify 1/2 into 1/2 1.436 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.436 * [taylor]: Taking taylor expansion of im in im 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [backup-simplify]: Simplify (* 1 1) into 1 1.436 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.436 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.437 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify 0 into 0 1.437 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.437 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.438 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.439 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.439 * [taylor]: Taking taylor expansion of 0 in im 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.440 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.440 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.440 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.440 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.440 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.440 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.440 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.440 * [taylor]: Taking taylor expansion of im in im 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.441 * [backup-simplify]: Simplify (* 1 1) into 1 1.441 * [backup-simplify]: Simplify (/ 1 1) into 1 1.441 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.441 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.441 * [taylor]: Taking taylor expansion of re in im 1.441 * [backup-simplify]: Simplify re into re 1.441 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.441 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.441 * [backup-simplify]: Simplify (+ 1 0) into 1 1.442 * [backup-simplify]: Simplify (sqrt 1) into 1 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.442 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.442 * [backup-simplify]: Simplify (+ 0 0) into 0 1.443 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.443 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.443 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.443 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.443 * [taylor]: Taking taylor expansion of im in re 1.443 * [backup-simplify]: Simplify im into im 1.443 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.443 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.443 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.443 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.443 * [taylor]: Taking taylor expansion of re in re 1.443 * [backup-simplify]: Simplify 0 into 0 1.443 * [backup-simplify]: Simplify 1 into 1 1.443 * [backup-simplify]: Simplify (* 1 1) into 1 1.444 * [backup-simplify]: Simplify (/ 1 1) into 1 1.444 * [backup-simplify]: Simplify (+ 0 1) into 1 1.444 * [backup-simplify]: Simplify (sqrt 1) into 1 1.444 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.445 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.445 * [backup-simplify]: Simplify (+ 0 0) into 0 1.445 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.445 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.446 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.446 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.446 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.446 * [taylor]: Taking taylor expansion of im in re 1.446 * [backup-simplify]: Simplify im into im 1.446 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.446 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.446 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.446 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.446 * [taylor]: Taking taylor expansion of re in re 1.446 * [backup-simplify]: Simplify 0 into 0 1.446 * [backup-simplify]: Simplify 1 into 1 1.446 * [backup-simplify]: Simplify (* 1 1) into 1 1.446 * [backup-simplify]: Simplify (/ 1 1) into 1 1.446 * [backup-simplify]: Simplify (+ 0 1) into 1 1.447 * [backup-simplify]: Simplify (sqrt 1) into 1 1.447 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.448 * [backup-simplify]: Simplify (+ 0 0) into 0 1.448 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.448 * [taylor]: Taking taylor expansion of 1 in im 1.448 * [backup-simplify]: Simplify 1 into 1 1.448 * [taylor]: Taking taylor expansion of 0 in im 1.448 * [backup-simplify]: Simplify 0 into 0 1.448 * [backup-simplify]: Simplify 1 into 1 1.449 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.449 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.449 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.450 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.450 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.450 * [taylor]: Taking taylor expansion of 1/2 in im 1.450 * [backup-simplify]: Simplify 1/2 into 1/2 1.450 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.450 * [taylor]: Taking taylor expansion of im in im 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (* 1 1) into 1 1.451 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.451 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.451 * [backup-simplify]: Simplify 0 into 0 1.452 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.452 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.452 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify (+ 0 0) into 0 1.453 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.453 * [taylor]: Taking taylor expansion of 0 in im 1.453 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.455 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.455 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.455 * [backup-simplify]: Simplify (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 1.455 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 1.455 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.455 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.455 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.455 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.455 * [taylor]: Taking taylor expansion of re in im 1.455 * [backup-simplify]: Simplify re into re 1.455 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.455 * [taylor]: Taking taylor expansion of im in im 1.455 * [backup-simplify]: Simplify 0 into 0 1.455 * [backup-simplify]: Simplify 1 into 1 1.455 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.455 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.455 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.455 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.456 * [backup-simplify]: Simplify (+ 0 0) into 0 1.456 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.456 * [taylor]: Taking taylor expansion of re in im 1.456 * [backup-simplify]: Simplify re into re 1.456 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.456 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.456 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.456 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.456 * [taylor]: Taking taylor expansion of re in re 1.456 * [backup-simplify]: Simplify 0 into 0 1.456 * [backup-simplify]: Simplify 1 into 1 1.456 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.456 * [taylor]: Taking taylor expansion of im in re 1.456 * [backup-simplify]: Simplify im into im 1.456 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.456 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.456 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.456 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.456 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.457 * [taylor]: Taking taylor expansion of re in re 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.457 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.457 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.457 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.457 * [taylor]: Taking taylor expansion of re in re 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.457 * [taylor]: Taking taylor expansion of im in re 1.457 * [backup-simplify]: Simplify im into im 1.457 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.457 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.457 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.457 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.457 * [taylor]: Taking taylor expansion of re in re 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (- 0) into 0 1.458 * [backup-simplify]: Simplify (+ im 0) into im 1.458 * [taylor]: Taking taylor expansion of im in im 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify (- 1) into -1 1.458 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.458 * [taylor]: Taking taylor expansion of -1 in im 1.458 * [backup-simplify]: Simplify -1 into -1 1.458 * [backup-simplify]: Simplify -1 into -1 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (* 1 1) into 1 1.459 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.459 * [backup-simplify]: Simplify (+ 1 0) into 1 1.459 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.460 * [backup-simplify]: Simplify (- 0) into 0 1.460 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.460 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.460 * [taylor]: Taking taylor expansion of 1/2 in im 1.460 * [backup-simplify]: Simplify 1/2 into 1/2 1.460 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.460 * [taylor]: Taking taylor expansion of im in im 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.460 * [backup-simplify]: Simplify (/ 1 1) into 1 1.460 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.461 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify 0 into 0 1.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.462 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.462 * [backup-simplify]: Simplify (- 0) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [taylor]: Taking taylor expansion of 0 in im 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.464 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.464 * [backup-simplify]: Simplify (exp (log (- (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1.464 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.464 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.464 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.464 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.464 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.464 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.464 * [taylor]: Taking taylor expansion of im in im 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.464 * [backup-simplify]: Simplify (* 1 1) into 1 1.465 * [backup-simplify]: Simplify (/ 1 1) into 1 1.465 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.465 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.465 * [taylor]: Taking taylor expansion of re in im 1.465 * [backup-simplify]: Simplify re into re 1.465 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.465 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.465 * [backup-simplify]: Simplify (+ 1 0) into 1 1.465 * [backup-simplify]: Simplify (sqrt 1) into 1 1.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.466 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.466 * [backup-simplify]: Simplify (+ 0 0) into 0 1.467 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.467 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.467 * [taylor]: Taking taylor expansion of re in im 1.467 * [backup-simplify]: Simplify re into re 1.467 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.467 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.467 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.467 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.467 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.467 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.467 * [taylor]: Taking taylor expansion of im in re 1.467 * [backup-simplify]: Simplify im into im 1.467 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.467 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.467 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.467 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.467 * [taylor]: Taking taylor expansion of re in re 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 1 into 1 1.467 * [backup-simplify]: Simplify (* 1 1) into 1 1.468 * [backup-simplify]: Simplify (/ 1 1) into 1 1.468 * [backup-simplify]: Simplify (+ 0 1) into 1 1.468 * [backup-simplify]: Simplify (sqrt 1) into 1 1.468 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.469 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.469 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.469 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.469 * [taylor]: Taking taylor expansion of re in re 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 1 into 1 1.470 * [backup-simplify]: Simplify (/ 1 1) into 1 1.470 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.470 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.470 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.470 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.470 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.470 * [taylor]: Taking taylor expansion of im in re 1.470 * [backup-simplify]: Simplify im into im 1.470 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.470 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.470 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.470 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.470 * [taylor]: Taking taylor expansion of re in re 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.470 * [backup-simplify]: Simplify (* 1 1) into 1 1.470 * [backup-simplify]: Simplify (/ 1 1) into 1 1.471 * [backup-simplify]: Simplify (+ 0 1) into 1 1.471 * [backup-simplify]: Simplify (sqrt 1) into 1 1.471 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.472 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.472 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.472 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.472 * [taylor]: Taking taylor expansion of re in re 1.472 * [backup-simplify]: Simplify 0 into 0 1.472 * [backup-simplify]: Simplify 1 into 1 1.473 * [backup-simplify]: Simplify (/ 1 1) into 1 1.473 * [backup-simplify]: Simplify (- 1) into -1 1.473 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.473 * [taylor]: Taking taylor expansion of 0 in im 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.474 * [backup-simplify]: Simplify (- 0) into 0 1.474 * [backup-simplify]: Simplify (+ 0 0) into 0 1.474 * [taylor]: Taking taylor expansion of 0 in im 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.475 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.475 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.476 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.476 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify (- 0) into 0 1.477 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.477 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.477 * [taylor]: Taking taylor expansion of 1/2 in im 1.477 * [backup-simplify]: Simplify 1/2 into 1/2 1.477 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.477 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.477 * [taylor]: Taking taylor expansion of im in im 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 1 into 1 1.477 * [backup-simplify]: Simplify (* 1 1) into 1 1.477 * [backup-simplify]: Simplify (/ 1 1) into 1 1.478 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.478 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.478 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.481 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.481 * [backup-simplify]: Simplify (- 0) into 0 1.481 * [backup-simplify]: Simplify (+ 0 0) into 0 1.481 * [taylor]: Taking taylor expansion of 0 in im 1.481 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.483 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify (exp (log (- (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1.483 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.483 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.483 * [taylor]: Taking taylor expansion of re in im 1.483 * [backup-simplify]: Simplify re into re 1.483 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.483 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.483 * [taylor]: Taking taylor expansion of im in im 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 1 into 1 1.484 * [backup-simplify]: Simplify (* 1 1) into 1 1.484 * [backup-simplify]: Simplify (/ 1 1) into 1 1.484 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.484 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.484 * [taylor]: Taking taylor expansion of re in im 1.484 * [backup-simplify]: Simplify re into re 1.484 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.484 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.484 * [backup-simplify]: Simplify (+ 1 0) into 1 1.485 * [backup-simplify]: Simplify (sqrt 1) into 1 1.485 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.486 * [backup-simplify]: Simplify (+ 0 0) into 0 1.486 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.486 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.486 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.486 * [taylor]: Taking taylor expansion of re in re 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (/ 1 1) into 1 1.486 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.486 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.486 * [taylor]: Taking taylor expansion of im in re 1.486 * [backup-simplify]: Simplify im into im 1.486 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.486 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.487 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.487 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.487 * [taylor]: Taking taylor expansion of re in re 1.487 * [backup-simplify]: Simplify 0 into 0 1.487 * [backup-simplify]: Simplify 1 into 1 1.487 * [backup-simplify]: Simplify (* 1 1) into 1 1.487 * [backup-simplify]: Simplify (/ 1 1) into 1 1.487 * [backup-simplify]: Simplify (+ 0 1) into 1 1.487 * [backup-simplify]: Simplify (sqrt 1) into 1 1.488 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.488 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.488 * [backup-simplify]: Simplify (+ 0 0) into 0 1.489 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.489 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.489 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.489 * [taylor]: Taking taylor expansion of re in re 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (/ 1 1) into 1 1.489 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.489 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.489 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.489 * [taylor]: Taking taylor expansion of im in re 1.489 * [backup-simplify]: Simplify im into im 1.489 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.489 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.489 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.489 * [taylor]: Taking taylor expansion of re in re 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.490 * [backup-simplify]: Simplify (* 1 1) into 1 1.490 * [backup-simplify]: Simplify (/ 1 1) into 1 1.490 * [backup-simplify]: Simplify (+ 0 1) into 1 1.490 * [backup-simplify]: Simplify (sqrt 1) into 1 1.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (+ 0 0) into 0 1.492 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.492 * [backup-simplify]: Simplify (+ 1 1) into 2 1.492 * [taylor]: Taking taylor expansion of 2 in im 1.492 * [backup-simplify]: Simplify 2 into 2 1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.493 * [backup-simplify]: Simplify (+ 0 0) into 0 1.493 * [taylor]: Taking taylor expansion of 0 in im 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 2 into 2 1.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.494 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.498 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.498 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.498 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.498 * [taylor]: Taking taylor expansion of 1/2 in im 1.498 * [backup-simplify]: Simplify 1/2 into 1/2 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.498 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.498 * [taylor]: Taking taylor expansion of im in im 1.498 * [backup-simplify]: Simplify 0 into 0 1.498 * [backup-simplify]: Simplify 1 into 1 1.498 * [backup-simplify]: Simplify (* 1 1) into 1 1.498 * [backup-simplify]: Simplify (/ 1 1) into 1 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.499 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.500 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.500 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.501 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.502 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.502 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.502 * [backup-simplify]: Simplify (+ 0 0) into 0 1.503 * [taylor]: Taking taylor expansion of 0 in im 1.503 * [backup-simplify]: Simplify 0 into 0 1.503 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.504 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.504 * * * [progress]: simplifying candidates 1.506 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (- re) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (* (cbrt (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) (exp (sqrt (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (exp 1) (exp (log (* (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) (exp (log (cbrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (exp (log (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (exp (log (sqrt (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (exp (log 1)) (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (exp (log (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)))) (exp (log (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)))) (exp (log (+ (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)))) (exp (log (- (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (sqrt re)))) (exp (log (+ (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)))) (exp (log (- (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt re)))) (exp (log 1)) (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (exp (log (- (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)))) (exp (log (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))))) (exp (log (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)))) (exp (log (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) (log (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (exp (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (cbrt (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (cbrt (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))))) (cbrt (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (* (* (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re))) (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) (sqrt (exp (log (- (exp (log (sqrt (+ (* re re) (* im im))))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) im re (* -1 re) (- im re) 0 (* -2 re) 1.506 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (/ (exp (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp h0)) (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (exp (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (* (cbrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (cbrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (cbrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (* (* (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (sqrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (sqrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (- (pow (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) 3) (pow h0 3)) (+ (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (+ (* h0 h0) (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (- h0) (- (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* h0 h0)) (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (+ (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (- (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (+ (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (- (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (+ (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (- (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)) (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0) (- h0) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (exp (sqrt (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))))) (exp (log (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))))) (exp (log (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log 1)) (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))))) (exp (log (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))))) (exp (log (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))))) (exp (log (sqrt (- (* h0 h0) (* h1 h1))))) (log (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))))) (cbrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (exp 1) (exp (* (cbrt (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (cbrt (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))))) (exp (sqrt (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)))) (exp 1) (exp (log (* (cbrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)) (cbrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))))) (exp (log (cbrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)))) (exp (log (sqrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)))) (exp (log (sqrt (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)))) (exp (log 1)) (exp (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (exp (log (+ (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)))) (exp (log (- (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)))) (exp (log (+ (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)))) (exp (log (- (exp (log (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)))) (exp (log (+ (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)))) (exp (log (- (sqrt (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (sqrt h0)))) (exp (log 1)) (exp (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (exp (log (- (pow (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) 3) (pow h0 3)))) (exp (log (+ (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (+ (* h0 h0) (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))))) (exp (log (- (* (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) (exp (log (sqrt (+ (* h0 h0) (* h1 h1)))))) (* h0 h0)))) (exp (log (+ (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (log (exp (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)))) (exp (exp (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)))) (* (cbrt (exp (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)))) (cbrt (exp (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))))) (cbrt (exp (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)))) (* (* (exp (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0))) (exp (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)))) (exp (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)))) (sqrt (exp (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)))) (sqrt (exp (log (- (exp (log (sqrt (+ (* h0 h0) (* h1 h1))))) h0)))) h1 h0 (* -1 h0) (- h1 h0) 0 (* -2 h0) h1 h0 (* -1 h0) (- h1 h0) 0 (* -2 h0) 1.511 * * [simplify]: iteration 0 : 227 enodes (cost 700 ) 1.514 * * [simplify]: iteration 1 : 468 enodes (cost 624 ) 1.520 * * [simplify]: iteration 2 : 1022 enodes (cost 589 ) 1.537 * * [simplify]: iteration 3 : 2844 enodes (cost 575 ) 1.591 * * [simplify]: iteration 4 : 5002 enodes (cost 567 ) 1.594 * * * [progress]: adding candidates to table 1.824 * * [progress]: iteration 4 / 4 1.824 * * * [progress]: picking best candidate 1.845 * * * * [pick]: Picked # 1.845 * * * [progress]: localizing error 1.859 * * * [progress]: generating rewritten candidates 1.859 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 1.866 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.910 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 1.934 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 1.966 * * * [progress]: generating series expansions 1.966 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 1.966 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.966 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.966 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.966 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.966 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.966 * [taylor]: Taking taylor expansion of re in im 1.966 * [backup-simplify]: Simplify re into re 1.966 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.966 * [taylor]: Taking taylor expansion of im in im 1.966 * [backup-simplify]: Simplify 0 into 0 1.966 * [backup-simplify]: Simplify 1 into 1 1.966 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.966 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.966 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.967 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.967 * [backup-simplify]: Simplify (+ 0 0) into 0 1.967 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.967 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.967 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.967 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.967 * [taylor]: Taking taylor expansion of re in re 1.967 * [backup-simplify]: Simplify 0 into 0 1.967 * [backup-simplify]: Simplify 1 into 1 1.967 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.967 * [taylor]: Taking taylor expansion of im in re 1.967 * [backup-simplify]: Simplify im into im 1.967 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.967 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.967 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.967 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.968 * [backup-simplify]: Simplify (+ 0 0) into 0 1.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.968 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.968 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.968 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.968 * [taylor]: Taking taylor expansion of re in re 1.968 * [backup-simplify]: Simplify 0 into 0 1.968 * [backup-simplify]: Simplify 1 into 1 1.968 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.968 * [taylor]: Taking taylor expansion of im in re 1.968 * [backup-simplify]: Simplify im into im 1.968 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.968 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.968 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.968 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.969 * [backup-simplify]: Simplify (+ 0 0) into 0 1.969 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.969 * [taylor]: Taking taylor expansion of im in im 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [taylor]: Taking taylor expansion of 0 in im 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 0 into 0 1.969 * [backup-simplify]: Simplify 1 into 1 1.969 * [backup-simplify]: Simplify (* 1 1) into 1 1.969 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.970 * [backup-simplify]: Simplify (+ 1 0) into 1 1.970 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.970 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.970 * [taylor]: Taking taylor expansion of 1/2 in im 1.970 * [backup-simplify]: Simplify 1/2 into 1/2 1.970 * [taylor]: Taking taylor expansion of im in im 1.970 * [backup-simplify]: Simplify 0 into 0 1.970 * [backup-simplify]: Simplify 1 into 1 1.970 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.971 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify 0 into 0 1.971 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.972 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.972 * [backup-simplify]: Simplify (+ 0 0) into 0 1.972 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.972 * [taylor]: Taking taylor expansion of 0 in im 1.972 * [backup-simplify]: Simplify 0 into 0 1.972 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.973 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.973 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.973 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.973 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.973 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.973 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.973 * [taylor]: Taking taylor expansion of im in im 1.973 * [backup-simplify]: Simplify 0 into 0 1.973 * [backup-simplify]: Simplify 1 into 1 1.973 * [backup-simplify]: Simplify (* 1 1) into 1 1.974 * [backup-simplify]: Simplify (/ 1 1) into 1 1.974 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.974 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.974 * [taylor]: Taking taylor expansion of re in im 1.974 * [backup-simplify]: Simplify re into re 1.974 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.974 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.974 * [backup-simplify]: Simplify (+ 1 0) into 1 1.974 * [backup-simplify]: Simplify (sqrt 1) into 1 1.975 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.975 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.975 * [backup-simplify]: Simplify (+ 0 0) into 0 1.976 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.976 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.976 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.976 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.976 * [taylor]: Taking taylor expansion of im in re 1.976 * [backup-simplify]: Simplify im into im 1.976 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.976 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.976 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.976 * [taylor]: Taking taylor expansion of re in re 1.976 * [backup-simplify]: Simplify 0 into 0 1.976 * [backup-simplify]: Simplify 1 into 1 1.976 * [backup-simplify]: Simplify (* 1 1) into 1 1.976 * [backup-simplify]: Simplify (/ 1 1) into 1 1.977 * [backup-simplify]: Simplify (+ 0 1) into 1 1.977 * [backup-simplify]: Simplify (sqrt 1) into 1 1.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.978 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.978 * [backup-simplify]: Simplify (+ 0 0) into 0 1.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.978 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.978 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.978 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.978 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.978 * [taylor]: Taking taylor expansion of im in re 1.978 * [backup-simplify]: Simplify im into im 1.978 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.979 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.979 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.979 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.979 * [taylor]: Taking taylor expansion of re in re 1.979 * [backup-simplify]: Simplify 0 into 0 1.979 * [backup-simplify]: Simplify 1 into 1 1.979 * [backup-simplify]: Simplify (* 1 1) into 1 1.979 * [backup-simplify]: Simplify (/ 1 1) into 1 1.979 * [backup-simplify]: Simplify (+ 0 1) into 1 1.980 * [backup-simplify]: Simplify (sqrt 1) into 1 1.980 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.980 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.980 * [backup-simplify]: Simplify (+ 0 0) into 0 1.981 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.981 * [taylor]: Taking taylor expansion of 1 in im 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [taylor]: Taking taylor expansion of 0 in im 1.981 * [backup-simplify]: Simplify 0 into 0 1.981 * [backup-simplify]: Simplify 1 into 1 1.981 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.982 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.983 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.983 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.983 * [taylor]: Taking taylor expansion of 1/2 in im 1.983 * [backup-simplify]: Simplify 1/2 into 1/2 1.983 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.983 * [taylor]: Taking taylor expansion of im in im 1.983 * [backup-simplify]: Simplify 0 into 0 1.983 * [backup-simplify]: Simplify 1 into 1 1.983 * [backup-simplify]: Simplify (* 1 1) into 1 1.983 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.984 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify 0 into 0 1.984 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.985 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.985 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.986 * [backup-simplify]: Simplify (+ 0 0) into 0 1.986 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.986 * [taylor]: Taking taylor expansion of 0 in im 1.986 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.987 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify 0 into 0 1.987 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.988 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.988 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.988 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.988 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.988 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.988 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.988 * [taylor]: Taking taylor expansion of im in im 1.988 * [backup-simplify]: Simplify 0 into 0 1.988 * [backup-simplify]: Simplify 1 into 1 1.988 * [backup-simplify]: Simplify (* 1 1) into 1 1.988 * [backup-simplify]: Simplify (/ 1 1) into 1 1.988 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.988 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.988 * [taylor]: Taking taylor expansion of re in im 1.988 * [backup-simplify]: Simplify re into re 1.988 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.988 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.989 * [backup-simplify]: Simplify (+ 1 0) into 1 1.989 * [backup-simplify]: Simplify (sqrt 1) into 1 1.989 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.990 * [backup-simplify]: Simplify (+ 0 0) into 0 1.990 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.990 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.990 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.990 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.990 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.990 * [taylor]: Taking taylor expansion of im in re 1.990 * [backup-simplify]: Simplify im into im 1.990 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.991 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.991 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.991 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.991 * [taylor]: Taking taylor expansion of re in re 1.991 * [backup-simplify]: Simplify 0 into 0 1.991 * [backup-simplify]: Simplify 1 into 1 1.991 * [backup-simplify]: Simplify (* 1 1) into 1 1.991 * [backup-simplify]: Simplify (/ 1 1) into 1 1.991 * [backup-simplify]: Simplify (+ 0 1) into 1 1.992 * [backup-simplify]: Simplify (sqrt 1) into 1 1.992 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.993 * [backup-simplify]: Simplify (+ 0 0) into 0 1.993 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.993 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.993 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.993 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.993 * [taylor]: Taking taylor expansion of im in re 1.993 * [backup-simplify]: Simplify im into im 1.993 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.993 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.993 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.993 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.993 * [taylor]: Taking taylor expansion of re in re 1.993 * [backup-simplify]: Simplify 0 into 0 1.993 * [backup-simplify]: Simplify 1 into 1 1.994 * [backup-simplify]: Simplify (* 1 1) into 1 1.994 * [backup-simplify]: Simplify (/ 1 1) into 1 1.994 * [backup-simplify]: Simplify (+ 0 1) into 1 1.994 * [backup-simplify]: Simplify (sqrt 1) into 1 1.995 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.995 * [backup-simplify]: Simplify (+ 0 0) into 0 1.996 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.996 * [taylor]: Taking taylor expansion of 1 in im 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [taylor]: Taking taylor expansion of 0 in im 1.996 * [backup-simplify]: Simplify 0 into 0 1.996 * [backup-simplify]: Simplify 1 into 1 1.996 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.997 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.997 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.998 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.998 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.998 * [taylor]: Taking taylor expansion of 1/2 in im 1.998 * [backup-simplify]: Simplify 1/2 into 1/2 1.998 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.998 * [taylor]: Taking taylor expansion of im in im 1.998 * [backup-simplify]: Simplify 0 into 0 1.998 * [backup-simplify]: Simplify 1 into 1 1.998 * [backup-simplify]: Simplify (* 1 1) into 1 1.998 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.999 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.999 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify 0 into 0 1.999 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.999 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.000 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.000 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.001 * [backup-simplify]: Simplify (+ 0 0) into 0 2.001 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.001 * [taylor]: Taking taylor expansion of 0 in im 2.001 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.002 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify 0 into 0 2.002 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.002 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.002 * [backup-simplify]: Simplify (/ (pow im 2) (+ (sqrt (+ (* re re) (* im im))) re)) into (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) 2.003 * [approximate]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in (im re) around 0 2.003 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 2.003 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.003 * [taylor]: Taking taylor expansion of im in re 2.003 * [backup-simplify]: Simplify im into im 2.003 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.003 * [taylor]: Taking taylor expansion of re in re 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.003 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.003 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.003 * [taylor]: Taking taylor expansion of re in re 2.003 * [backup-simplify]: Simplify 0 into 0 2.003 * [backup-simplify]: Simplify 1 into 1 2.003 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.003 * [taylor]: Taking taylor expansion of im in re 2.003 * [backup-simplify]: Simplify im into im 2.003 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.003 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.003 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.003 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.003 * [backup-simplify]: Simplify (+ 0 0) into 0 2.003 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.003 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.003 * [backup-simplify]: Simplify (+ 0 im) into im 2.004 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 2.004 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.004 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.004 * [taylor]: Taking taylor expansion of im in im 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.004 * [taylor]: Taking taylor expansion of re in im 2.004 * [backup-simplify]: Simplify re into re 2.004 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.004 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.004 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.004 * [taylor]: Taking taylor expansion of re in im 2.004 * [backup-simplify]: Simplify re into re 2.004 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.004 * [taylor]: Taking taylor expansion of im in im 2.004 * [backup-simplify]: Simplify 0 into 0 2.004 * [backup-simplify]: Simplify 1 into 1 2.004 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.004 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.004 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.004 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.004 * [backup-simplify]: Simplify (+ 0 0) into 0 2.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.005 * [backup-simplify]: Simplify (* 1 1) into 1 2.005 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.005 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 2.005 * [taylor]: Taking taylor expansion of (/ (pow im 2) (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.005 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.005 * [taylor]: Taking taylor expansion of im in im 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.005 * [taylor]: Taking taylor expansion of re in im 2.005 * [backup-simplify]: Simplify re into re 2.005 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.005 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.005 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.005 * [taylor]: Taking taylor expansion of re in im 2.005 * [backup-simplify]: Simplify re into re 2.005 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.005 * [taylor]: Taking taylor expansion of im in im 2.005 * [backup-simplify]: Simplify 0 into 0 2.005 * [backup-simplify]: Simplify 1 into 1 2.005 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.005 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.005 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.005 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.005 * [backup-simplify]: Simplify (+ 0 0) into 0 2.006 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.006 * [backup-simplify]: Simplify (* 1 1) into 1 2.006 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.006 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 2.006 * [taylor]: Taking taylor expansion of (/ 1/2 re) in re 2.006 * [taylor]: Taking taylor expansion of 1/2 in re 2.006 * [backup-simplify]: Simplify 1/2 into 1/2 2.006 * [taylor]: Taking taylor expansion of re in re 2.006 * [backup-simplify]: Simplify 0 into 0 2.006 * [backup-simplify]: Simplify 1 into 1 2.006 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.007 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.007 * [backup-simplify]: Simplify (+ 0 0) into 0 2.007 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 2.007 * [taylor]: Taking taylor expansion of 0 in re 2.007 * [backup-simplify]: Simplify 0 into 0 2.007 * [backup-simplify]: Simplify 0 into 0 2.008 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.008 * [backup-simplify]: Simplify 0 into 0 2.009 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.009 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.009 * [backup-simplify]: Simplify (* 1 1) into 1 2.009 * [backup-simplify]: Simplify (+ 0 1) into 1 2.010 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.010 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 2.010 * [backup-simplify]: Simplify (- (/ 0 (* 2 re)) (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 2.010 * [taylor]: Taking taylor expansion of (- (* 1/8 (/ 1 (pow re 3)))) in re 2.010 * [taylor]: Taking taylor expansion of (* 1/8 (/ 1 (pow re 3))) in re 2.010 * [taylor]: Taking taylor expansion of 1/8 in re 2.010 * [backup-simplify]: Simplify 1/8 into 1/8 2.010 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 2.010 * [taylor]: Taking taylor expansion of (pow re 3) in re 2.010 * [taylor]: Taking taylor expansion of re in re 2.010 * [backup-simplify]: Simplify 0 into 0 2.010 * [backup-simplify]: Simplify 1 into 1 2.011 * [backup-simplify]: Simplify (* 1 1) into 1 2.011 * [backup-simplify]: Simplify (* 1 1) into 1 2.011 * [backup-simplify]: Simplify (/ 1 1) into 1 2.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.012 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.012 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.013 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.013 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.014 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.014 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.015 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (+ (* 1/8 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.016 * [backup-simplify]: Simplify (- 0) into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.016 * [backup-simplify]: Simplify 0 into 0 2.017 * [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))) 2.017 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 2.017 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 2.017 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 2.017 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.017 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.017 * [taylor]: Taking taylor expansion of re in re 2.017 * [backup-simplify]: Simplify 0 into 0 2.017 * [backup-simplify]: Simplify 1 into 1 2.017 * [backup-simplify]: Simplify (/ 1 1) into 1 2.017 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.017 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.017 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.017 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.017 * [taylor]: Taking taylor expansion of im in re 2.017 * [backup-simplify]: Simplify im into im 2.017 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.018 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.018 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.018 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.018 * [taylor]: Taking taylor expansion of re in re 2.018 * [backup-simplify]: Simplify 0 into 0 2.018 * [backup-simplify]: Simplify 1 into 1 2.018 * [backup-simplify]: Simplify (* 1 1) into 1 2.018 * [backup-simplify]: Simplify (/ 1 1) into 1 2.018 * [backup-simplify]: Simplify (+ 0 1) into 1 2.018 * [backup-simplify]: Simplify (sqrt 1) into 1 2.019 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.019 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.019 * [backup-simplify]: Simplify (+ 0 0) into 0 2.020 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.020 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.020 * [taylor]: Taking taylor expansion of im in re 2.020 * [backup-simplify]: Simplify im into im 2.020 * [backup-simplify]: Simplify (+ 1 1) into 2 2.020 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.020 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 2.020 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 2.020 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 2.020 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 2.020 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.020 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.020 * [taylor]: Taking taylor expansion of re in im 2.020 * [backup-simplify]: Simplify re into re 2.021 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.021 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.021 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.021 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.021 * [taylor]: Taking taylor expansion of im in im 2.021 * [backup-simplify]: Simplify 0 into 0 2.021 * [backup-simplify]: Simplify 1 into 1 2.021 * [backup-simplify]: Simplify (* 1 1) into 1 2.021 * [backup-simplify]: Simplify (/ 1 1) into 1 2.021 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.021 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.021 * [taylor]: Taking taylor expansion of re in im 2.021 * [backup-simplify]: Simplify re into re 2.021 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.021 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.022 * [backup-simplify]: Simplify (+ 1 0) into 1 2.022 * [backup-simplify]: Simplify (sqrt 1) into 1 2.022 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.022 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.023 * [backup-simplify]: Simplify (+ 0 0) into 0 2.023 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.023 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.023 * [taylor]: Taking taylor expansion of im in im 2.023 * [backup-simplify]: Simplify 0 into 0 2.023 * [backup-simplify]: Simplify 1 into 1 2.023 * [backup-simplify]: Simplify (+ 0 1) into 1 2.024 * [backup-simplify]: Simplify (* 1 1) into 1 2.024 * [backup-simplify]: Simplify (* 1 1) into 1 2.024 * [backup-simplify]: Simplify (/ 1 1) into 1 2.024 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 2.024 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 2.024 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.024 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.024 * [taylor]: Taking taylor expansion of re in im 2.024 * [backup-simplify]: Simplify re into re 2.024 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.024 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.024 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.024 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.024 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.024 * [taylor]: Taking taylor expansion of im in im 2.024 * [backup-simplify]: Simplify 0 into 0 2.024 * [backup-simplify]: Simplify 1 into 1 2.025 * [backup-simplify]: Simplify (* 1 1) into 1 2.025 * [backup-simplify]: Simplify (/ 1 1) into 1 2.025 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.025 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.025 * [taylor]: Taking taylor expansion of re in im 2.025 * [backup-simplify]: Simplify re into re 2.025 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.025 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.025 * [backup-simplify]: Simplify (+ 1 0) into 1 2.025 * [backup-simplify]: Simplify (sqrt 1) into 1 2.026 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.026 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.026 * [backup-simplify]: Simplify (+ 0 0) into 0 2.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.027 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.027 * [taylor]: Taking taylor expansion of im in im 2.027 * [backup-simplify]: Simplify 0 into 0 2.027 * [backup-simplify]: Simplify 1 into 1 2.027 * [backup-simplify]: Simplify (+ 0 1) into 1 2.027 * [backup-simplify]: Simplify (* 1 1) into 1 2.028 * [backup-simplify]: Simplify (* 1 1) into 1 2.028 * [backup-simplify]: Simplify (/ 1 1) into 1 2.028 * [taylor]: Taking taylor expansion of 1 in re 2.028 * [backup-simplify]: Simplify 1 into 1 2.028 * [backup-simplify]: Simplify 0 into 0 2.028 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.028 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 2.029 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 2.029 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 2.029 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.029 * [taylor]: Taking taylor expansion of re in re 2.029 * [backup-simplify]: Simplify 0 into 0 2.029 * [backup-simplify]: Simplify 1 into 1 2.029 * [backup-simplify]: Simplify (/ 1 1) into 1 2.029 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.030 * [backup-simplify]: Simplify (- 0) into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.030 * [backup-simplify]: Simplify 0 into 0 2.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.031 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.031 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.032 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.032 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.032 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.033 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 2.033 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 2.033 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.033 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.033 * [taylor]: Taking taylor expansion of 1/2 in re 2.033 * [backup-simplify]: Simplify 1/2 into 1/2 2.033 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.033 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.033 * [taylor]: Taking taylor expansion of re in re 2.033 * [backup-simplify]: Simplify 0 into 0 2.033 * [backup-simplify]: Simplify 1 into 1 2.034 * [backup-simplify]: Simplify (* 1 1) into 1 2.034 * [backup-simplify]: Simplify (/ 1 1) into 1 2.034 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.035 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.035 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.036 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.037 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.037 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.038 * [backup-simplify]: Simplify (- 0) into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [backup-simplify]: Simplify 0 into 0 2.038 * [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))) 2.038 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 2.038 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 2.038 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 2.038 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.038 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.038 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.038 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.038 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.038 * [taylor]: Taking taylor expansion of im in re 2.038 * [backup-simplify]: Simplify im into im 2.039 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.039 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.039 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.039 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.039 * [taylor]: Taking taylor expansion of re in re 2.039 * [backup-simplify]: Simplify 0 into 0 2.039 * [backup-simplify]: Simplify 1 into 1 2.039 * [backup-simplify]: Simplify (* 1 1) into 1 2.039 * [backup-simplify]: Simplify (/ 1 1) into 1 2.039 * [backup-simplify]: Simplify (+ 0 1) into 1 2.040 * [backup-simplify]: Simplify (sqrt 1) into 1 2.040 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.043 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.043 * [backup-simplify]: Simplify (+ 0 0) into 0 2.044 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.044 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.044 * [taylor]: Taking taylor expansion of re in re 2.044 * [backup-simplify]: Simplify 0 into 0 2.044 * [backup-simplify]: Simplify 1 into 1 2.044 * [backup-simplify]: Simplify (/ 1 1) into 1 2.044 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.044 * [taylor]: Taking taylor expansion of im in re 2.044 * [backup-simplify]: Simplify im into im 2.045 * [backup-simplify]: Simplify (- 1) into -1 2.045 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.045 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.045 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0 2.045 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.045 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.046 * [backup-simplify]: Simplify (- 0) into 0 2.046 * [backup-simplify]: Simplify (+ 0 0) into 0 2.046 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0 2.046 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.047 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.048 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.048 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.049 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.049 * [backup-simplify]: Simplify (- 0) into 0 2.049 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.050 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2 2.050 * [backup-simplify]: Simplify (/ 1 1/2) into 2 2.050 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 2.050 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 2.050 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.050 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.050 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.050 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.050 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.050 * [taylor]: Taking taylor expansion of im in im 2.050 * [backup-simplify]: Simplify 0 into 0 2.050 * [backup-simplify]: Simplify 1 into 1 2.050 * [backup-simplify]: Simplify (* 1 1) into 1 2.051 * [backup-simplify]: Simplify (/ 1 1) into 1 2.051 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.051 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.051 * [taylor]: Taking taylor expansion of re in im 2.051 * [backup-simplify]: Simplify re into re 2.051 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.051 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.051 * [backup-simplify]: Simplify (+ 1 0) into 1 2.051 * [backup-simplify]: Simplify (sqrt 1) into 1 2.052 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.052 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.052 * [backup-simplify]: Simplify (+ 0 0) into 0 2.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.053 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.053 * [taylor]: Taking taylor expansion of re in im 2.053 * [backup-simplify]: Simplify re into re 2.053 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.053 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.053 * [taylor]: Taking taylor expansion of im in im 2.053 * [backup-simplify]: Simplify 0 into 0 2.053 * [backup-simplify]: Simplify 1 into 1 2.053 * [backup-simplify]: Simplify (+ 1 0) into 1 2.053 * [backup-simplify]: Simplify (* 1 1) into 1 2.053 * [backup-simplify]: Simplify (* 1 1) into 1 2.054 * [backup-simplify]: Simplify (/ 1 1) into 1 2.054 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 2.054 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 2.054 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.054 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.054 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.054 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.054 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.054 * [taylor]: Taking taylor expansion of im in im 2.054 * [backup-simplify]: Simplify 0 into 0 2.054 * [backup-simplify]: Simplify 1 into 1 2.054 * [backup-simplify]: Simplify (* 1 1) into 1 2.054 * [backup-simplify]: Simplify (/ 1 1) into 1 2.054 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.054 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.054 * [taylor]: Taking taylor expansion of re in im 2.054 * [backup-simplify]: Simplify re into re 2.054 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.054 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.055 * [backup-simplify]: Simplify (+ 1 0) into 1 2.055 * [backup-simplify]: Simplify (sqrt 1) into 1 2.055 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.056 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.056 * [backup-simplify]: Simplify (+ 0 0) into 0 2.056 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.056 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.056 * [taylor]: Taking taylor expansion of re in im 2.056 * [backup-simplify]: Simplify re into re 2.056 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.056 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.056 * [taylor]: Taking taylor expansion of im in im 2.056 * [backup-simplify]: Simplify 0 into 0 2.056 * [backup-simplify]: Simplify 1 into 1 2.057 * [backup-simplify]: Simplify (+ 1 0) into 1 2.057 * [backup-simplify]: Simplify (* 1 1) into 1 2.057 * [backup-simplify]: Simplify (* 1 1) into 1 2.057 * [backup-simplify]: Simplify (/ 1 1) into 1 2.057 * [taylor]: Taking taylor expansion of 1 in re 2.057 * [backup-simplify]: Simplify 1 into 1 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.058 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 2.058 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 2.058 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re)) 2.058 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 2.058 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.058 * [taylor]: Taking taylor expansion of re in re 2.058 * [backup-simplify]: Simplify 0 into 0 2.058 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify (/ 1 1) into 1 2.059 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify 1 into 1 2.059 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.060 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.060 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.060 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.061 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.061 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.061 * [backup-simplify]: Simplify (- 0) into 0 2.061 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 2.062 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 2.062 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.062 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.062 * [taylor]: Taking taylor expansion of 1/2 in re 2.062 * [backup-simplify]: Simplify 1/2 into 1/2 2.062 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.062 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.062 * [taylor]: Taking taylor expansion of re in re 2.062 * [backup-simplify]: Simplify 0 into 0 2.062 * [backup-simplify]: Simplify 1 into 1 2.062 * [backup-simplify]: Simplify (* 1 1) into 1 2.063 * [backup-simplify]: Simplify (/ 1 1) into 1 2.063 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.063 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.064 * [backup-simplify]: Simplify 0 into 0 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.065 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.066 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.066 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.066 * [backup-simplify]: Simplify (+ 0 0) into 0 2.067 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 2.067 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.067 * [backup-simplify]: Simplify (- 0) into 0 2.067 * [backup-simplify]: Simplify (+ 0 0) into 0 2.068 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0 2.068 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 2.068 * [taylor]: Taking taylor expansion of 0 in re 2.068 * [backup-simplify]: Simplify 0 into 0 2.069 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.069 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.070 * [backup-simplify]: Simplify 0 into 0 2.071 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 (- im))))) (* 1 (* (/ 1 (/ 1 (- re))) 1))) into (- (+ re im)) 2.071 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.071 * [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))))))) 2.071 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in (im re) around 0 2.071 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in re 2.071 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 2.071 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.071 * [taylor]: Taking taylor expansion of 2.0 in re 2.071 * [backup-simplify]: Simplify 2.0 into 2.0 2.071 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.072 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.072 * [taylor]: Taking taylor expansion of im in re 2.072 * [backup-simplify]: Simplify im into im 2.072 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in re 2.072 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in re 2.072 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.072 * [taylor]: Taking taylor expansion of re in re 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.072 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.072 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.072 * [taylor]: Taking taylor expansion of re in re 2.072 * [backup-simplify]: Simplify 0 into 0 2.072 * [backup-simplify]: Simplify 1 into 1 2.072 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.072 * [taylor]: Taking taylor expansion of im in re 2.072 * [backup-simplify]: Simplify im into im 2.072 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.072 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.072 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.072 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.072 * [backup-simplify]: Simplify (+ 0 0) into 0 2.073 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.073 * [backup-simplify]: Simplify (+ 0 im) into im 2.073 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.073 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 2.073 * [backup-simplify]: Simplify (+ 1 0) into 1 2.073 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ 1 im)))) into (- (/ 1 (pow im 2))) 2.073 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2))) (* 2 (sqrt (/ 1 im)))) into (* -1/2 (sqrt (/ 1 (pow im 3)))) 2.073 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 2.073 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.073 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.073 * [taylor]: Taking taylor expansion of 2.0 in im 2.073 * [backup-simplify]: Simplify 2.0 into 2.0 2.074 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.074 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.074 * [taylor]: Taking taylor expansion of im in im 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 2.074 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.074 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.074 * [taylor]: Taking taylor expansion of re in im 2.074 * [backup-simplify]: Simplify re into re 2.074 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.074 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.074 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.074 * [taylor]: Taking taylor expansion of re in im 2.074 * [backup-simplify]: Simplify re into re 2.074 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.074 * [taylor]: Taking taylor expansion of im in im 2.074 * [backup-simplify]: Simplify 0 into 0 2.074 * [backup-simplify]: Simplify 1 into 1 2.074 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.074 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.074 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.074 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.075 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.075 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 2.075 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 2.075 * [backup-simplify]: Simplify (+ 0 0) into 0 2.075 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 2.075 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 2.075 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))))) in im 2.075 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.075 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.075 * [taylor]: Taking taylor expansion of 2.0 in im 2.075 * [backup-simplify]: Simplify 2.0 into 2.0 2.076 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.076 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.076 * [taylor]: Taking taylor expansion of im in im 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2)))))) in im 2.076 * [taylor]: Taking taylor expansion of (/ 1 (+ re (sqrt (+ (pow re 2) (pow im 2))))) in im 2.076 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.076 * [taylor]: Taking taylor expansion of re in im 2.076 * [backup-simplify]: Simplify re into re 2.076 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.076 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.076 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.076 * [taylor]: Taking taylor expansion of re in im 2.076 * [backup-simplify]: Simplify re into re 2.076 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.076 * [taylor]: Taking taylor expansion of im in im 2.076 * [backup-simplify]: Simplify 0 into 0 2.076 * [backup-simplify]: Simplify 1 into 1 2.076 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.076 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.077 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.077 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.077 * [backup-simplify]: Simplify (+ 0 0) into 0 2.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.077 * [backup-simplify]: Simplify (+ re re) into (* 2 re) 2.077 * [backup-simplify]: Simplify (/ 1 (* 2 re)) into (/ 1/2 re) 2.077 * [backup-simplify]: Simplify (sqrt (/ 1/2 re)) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 2.077 * [backup-simplify]: Simplify (+ 0 0) into 0 2.077 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ 0 (* 2 re))))) into 0 2.077 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1/2 re)))) into 0 2.078 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.078 * [backup-simplify]: Simplify (* 0 (* (sqrt (/ 1 re)) (sqrt 1/2))) into 0 2.078 * [taylor]: Taking taylor expansion of 0 in re 2.078 * [backup-simplify]: Simplify 0 into 0 2.078 * [backup-simplify]: Simplify 0 into 0 2.079 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 2.080 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt (/ 1 re)) (sqrt 1/2)))) into (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) 2.080 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 re))) in re 2.080 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 1/2)) in re 2.080 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.080 * [taylor]: Taking taylor expansion of 2.0 in re 2.080 * [backup-simplify]: Simplify 2.0 into 2.0 2.080 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.081 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 2.081 * [taylor]: Taking taylor expansion of 1/2 in re 2.081 * [backup-simplify]: Simplify 1/2 into 1/2 2.081 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.081 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 re)) in re 2.081 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.082 * [taylor]: Taking taylor expansion of re in re 2.082 * [backup-simplify]: Simplify 0 into 0 2.082 * [backup-simplify]: Simplify 1 into 1 2.082 * [backup-simplify]: Simplify (/ 1 1) into 1 2.082 * [backup-simplify]: Simplify (sqrt 0) into 0 2.083 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.084 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 1/2)) into (* (sqrt 2.0) (sqrt 1/2)) 2.084 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 1/2))) into 0 2.086 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.088 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.088 * [backup-simplify]: Simplify 0 into 0 2.088 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.089 * [backup-simplify]: Simplify (* 1 1) into 1 2.089 * [backup-simplify]: Simplify (+ 0 1) into 1 2.089 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.089 * [backup-simplify]: Simplify (+ 0 (/ 1/2 re)) into (* 1/2 (/ 1 re)) 2.089 * [backup-simplify]: Simplify (- (+ (* (/ 1/2 re) (/ (* 1/2 (/ 1 re)) (* 2 re))) (* 0 (/ 0 (* 2 re))))) into (- (* 1/8 (/ 1 (pow re 3)))) 2.090 * [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)))) 2.091 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.092 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 2.093 * [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 2.093 * [taylor]: Taking taylor expansion of 0 in re 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify 0 into 0 2.093 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.095 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.096 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 2.096 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.097 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 1/2)))) into 0 2.099 * [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)))) 2.101 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 1/2)))) 2.101 * [backup-simplify]: Simplify 0 into 0 2.102 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.102 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.102 * [backup-simplify]: Simplify (+ 0 0) into 0 2.102 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.103 * [backup-simplify]: Simplify (+ 0 0) into 0 2.103 * [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 2.104 * [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 2.105 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.105 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.107 * [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)))))) 2.107 * [taylor]: Taking taylor expansion of (- (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))))) in re 2.107 * [taylor]: Taking taylor expansion of (* 1/16 (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5))))) in re 2.107 * [taylor]: Taking taylor expansion of 1/16 in re 2.107 * [backup-simplify]: Simplify 1/16 into 1/16 2.107 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 1/2)) (sqrt (/ 1 (pow re 5)))) in re 2.107 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 1/2)) in re 2.107 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.107 * [taylor]: Taking taylor expansion of 2.0 in re 2.107 * [backup-simplify]: Simplify 2.0 into 2.0 2.107 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.108 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.108 * [taylor]: Taking taylor expansion of (sqrt 1/2) in re 2.108 * [taylor]: Taking taylor expansion of 1/2 in re 2.108 * [backup-simplify]: Simplify 1/2 into 1/2 2.108 * [backup-simplify]: Simplify (sqrt 1/2) into (sqrt 1/2) 2.109 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1/2))) into 0 2.109 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 1/2)) into (/ (sqrt 2.0) (sqrt 1/2)) 2.109 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 5))) in re 2.109 * [taylor]: Taking taylor expansion of (/ 1 (pow re 5)) in re 2.109 * [taylor]: Taking taylor expansion of (pow re 5) in re 2.109 * [taylor]: Taking taylor expansion of re in re 2.109 * [backup-simplify]: Simplify 0 into 0 2.109 * [backup-simplify]: Simplify 1 into 1 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.110 * [backup-simplify]: Simplify (* 1 1) into 1 2.110 * [backup-simplify]: Simplify (/ 1 1) into 1 2.111 * [backup-simplify]: Simplify (sqrt 0) into 0 2.111 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.112 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.113 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.113 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.114 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.114 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.115 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.116 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.118 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.119 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))))) into 0 2.120 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.120 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 1/2))) into 0 2.121 * [backup-simplify]: Simplify (- (/ 0 (sqrt 1/2)) (+ (* (/ (sqrt 2.0) (sqrt 1/2)) (/ 0 (sqrt 1/2))) (* 0 (/ 0 (sqrt 1/2))))) into 0 2.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.122 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 1/2))) into 0 2.123 * [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 2.126 * [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)))) 2.128 * [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)))) 2.133 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 1/2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.133 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 1/2)) 0) into 0 2.138 * [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)))) 2.140 * [backup-simplify]: Simplify (- (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2))))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.142 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 1/2)))) 2.148 * [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)))))))) 2.148 * [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)))))))) 2.148 * [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 2.148 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 2.149 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.149 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.149 * [taylor]: Taking taylor expansion of 2.0 in re 2.149 * [backup-simplify]: Simplify 2.0 into 2.0 2.149 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.149 * [taylor]: Taking taylor expansion of im in re 2.149 * [backup-simplify]: Simplify im into im 2.150 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.150 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 2.150 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 2.150 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.150 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.150 * [taylor]: Taking taylor expansion of re in re 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [backup-simplify]: Simplify (/ 1 1) into 1 2.150 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.150 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.150 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.150 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.150 * [taylor]: Taking taylor expansion of im in re 2.150 * [backup-simplify]: Simplify im into im 2.150 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.150 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.150 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.150 * [taylor]: Taking taylor expansion of re in re 2.150 * [backup-simplify]: Simplify 0 into 0 2.150 * [backup-simplify]: Simplify 1 into 1 2.150 * [backup-simplify]: Simplify (* 1 1) into 1 2.151 * [backup-simplify]: Simplify (/ 1 1) into 1 2.151 * [backup-simplify]: Simplify (+ 0 1) into 1 2.151 * [backup-simplify]: Simplify (sqrt 1) into 1 2.151 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.152 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.152 * [backup-simplify]: Simplify (+ 0 0) into 0 2.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.153 * [backup-simplify]: Simplify (+ 1 1) into 2 2.153 * [backup-simplify]: Simplify (/ 1 2) into 1/2 2.153 * [backup-simplify]: Simplify (sqrt 0) into 0 2.154 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 2.154 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.154 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.154 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.154 * [taylor]: Taking taylor expansion of 2.0 in im 2.154 * [backup-simplify]: Simplify 2.0 into 2.0 2.154 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.155 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.155 * [taylor]: Taking taylor expansion of im in im 2.155 * [backup-simplify]: Simplify 0 into 0 2.155 * [backup-simplify]: Simplify 1 into 1 2.155 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.155 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.155 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.155 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.155 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.155 * [taylor]: Taking taylor expansion of re in im 2.155 * [backup-simplify]: Simplify re into re 2.155 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.156 * [taylor]: Taking taylor expansion of im in im 2.156 * [backup-simplify]: Simplify 0 into 0 2.156 * [backup-simplify]: Simplify 1 into 1 2.156 * [backup-simplify]: Simplify (* 1 1) into 1 2.156 * [backup-simplify]: Simplify (/ 1 1) into 1 2.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.156 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.156 * [taylor]: Taking taylor expansion of re in im 2.156 * [backup-simplify]: Simplify re into re 2.156 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.156 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.157 * [backup-simplify]: Simplify (+ 1 0) into 1 2.157 * [backup-simplify]: Simplify (sqrt 1) into 1 2.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.158 * [backup-simplify]: Simplify (+ 0 0) into 0 2.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.158 * [backup-simplify]: Simplify (+ 0 1) into 1 2.159 * [backup-simplify]: Simplify (/ 1 1) into 1 2.159 * [backup-simplify]: Simplify (sqrt 0) into 0 2.159 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.160 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 2.160 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.160 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.160 * [taylor]: Taking taylor expansion of 2.0 in im 2.160 * [backup-simplify]: Simplify 2.0 into 2.0 2.160 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.160 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.160 * [taylor]: Taking taylor expansion of im in im 2.160 * [backup-simplify]: Simplify 0 into 0 2.160 * [backup-simplify]: Simplify 1 into 1 2.161 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.161 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 2.161 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 2.161 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.161 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.161 * [taylor]: Taking taylor expansion of re in im 2.161 * [backup-simplify]: Simplify re into re 2.161 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.161 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.161 * [taylor]: Taking taylor expansion of im in im 2.161 * [backup-simplify]: Simplify 0 into 0 2.161 * [backup-simplify]: Simplify 1 into 1 2.161 * [backup-simplify]: Simplify (* 1 1) into 1 2.162 * [backup-simplify]: Simplify (/ 1 1) into 1 2.162 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.162 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.162 * [taylor]: Taking taylor expansion of re in im 2.162 * [backup-simplify]: Simplify re into re 2.162 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.162 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.162 * [backup-simplify]: Simplify (+ 1 0) into 1 2.162 * [backup-simplify]: Simplify (sqrt 1) into 1 2.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.163 * [backup-simplify]: Simplify (+ 0 0) into 0 2.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.164 * [backup-simplify]: Simplify (+ 0 1) into 1 2.164 * [backup-simplify]: Simplify (/ 1 1) into 1 2.164 * [backup-simplify]: Simplify (sqrt 0) into 0 2.165 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.165 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.165 * [taylor]: Taking taylor expansion of 0 in re 2.165 * [backup-simplify]: Simplify 0 into 0 2.165 * [backup-simplify]: Simplify 0 into 0 2.166 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.167 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.167 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.167 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.167 * [taylor]: Taking taylor expansion of +nan.0 in re 2.167 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.167 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.167 * [taylor]: Taking taylor expansion of 2.0 in re 2.167 * [backup-simplify]: Simplify 2.0 into 2.0 2.168 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.168 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.169 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.170 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.170 * [backup-simplify]: Simplify 0 into 0 2.170 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 2.170 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 2.171 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 2.172 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.172 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.173 * [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))))) 2.173 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.173 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.173 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.173 * [taylor]: Taking taylor expansion of +nan.0 in re 2.173 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.173 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.173 * [taylor]: Taking taylor expansion of 2.0 in re 2.173 * [backup-simplify]: Simplify 2.0 into 2.0 2.174 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.174 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.174 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.174 * [taylor]: Taking taylor expansion of +nan.0 in re 2.174 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.174 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.174 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.174 * [taylor]: Taking taylor expansion of 2.0 in re 2.174 * [backup-simplify]: Simplify 2.0 into 2.0 2.174 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.175 * [taylor]: Taking taylor expansion of re in re 2.175 * [backup-simplify]: Simplify 0 into 0 2.175 * [backup-simplify]: Simplify 1 into 1 2.175 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.176 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.176 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.177 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.177 * [backup-simplify]: Simplify (- 0) into 0 2.178 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.179 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.180 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.181 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.181 * [backup-simplify]: Simplify (- 0) into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.182 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.183 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.183 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 2.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.184 * [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)))) 2.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.185 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.187 * [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))))))) 2.187 * [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 2.187 * [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 2.187 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.187 * [taylor]: Taking taylor expansion of +nan.0 in re 2.187 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.187 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.187 * [taylor]: Taking taylor expansion of 2.0 in re 2.187 * [backup-simplify]: Simplify 2.0 into 2.0 2.187 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.187 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.187 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.187 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.188 * [taylor]: Taking taylor expansion of +nan.0 in re 2.188 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.188 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.188 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.188 * [taylor]: Taking taylor expansion of 2.0 in re 2.188 * [backup-simplify]: Simplify 2.0 into 2.0 2.188 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.188 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.188 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.188 * [taylor]: Taking taylor expansion of re in re 2.188 * [backup-simplify]: Simplify 0 into 0 2.188 * [backup-simplify]: Simplify 1 into 1 2.189 * [backup-simplify]: Simplify (* 1 1) into 1 2.189 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.189 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.189 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.189 * [taylor]: Taking taylor expansion of +nan.0 in re 2.189 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.189 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.189 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.189 * [taylor]: Taking taylor expansion of 2.0 in re 2.189 * [backup-simplify]: Simplify 2.0 into 2.0 2.189 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.190 * [taylor]: Taking taylor expansion of re in re 2.190 * [backup-simplify]: Simplify 0 into 0 2.190 * [backup-simplify]: Simplify 1 into 1 2.190 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.191 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.192 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.192 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.192 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.193 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.194 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.194 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 2.195 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.196 * [backup-simplify]: Simplify (- 0) into 0 2.196 * [backup-simplify]: Simplify (+ 0 0) into 0 2.196 * [backup-simplify]: Simplify (- 0) into 0 2.197 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 2.198 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.199 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.202 * [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))))))) 2.202 * [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))))) 2.202 * [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 2.202 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 2.202 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.202 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.202 * [taylor]: Taking taylor expansion of 2.0 in re 2.202 * [backup-simplify]: Simplify 2.0 into 2.0 2.203 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.203 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.203 * [taylor]: Taking taylor expansion of im in re 2.203 * [backup-simplify]: Simplify im into im 2.203 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.203 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 2.203 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 2.203 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.203 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.203 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.203 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.203 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.203 * [taylor]: Taking taylor expansion of im in re 2.204 * [backup-simplify]: Simplify im into im 2.204 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.204 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.204 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.204 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.204 * [taylor]: Taking taylor expansion of re in re 2.204 * [backup-simplify]: Simplify 0 into 0 2.204 * [backup-simplify]: Simplify 1 into 1 2.204 * [backup-simplify]: Simplify (* 1 1) into 1 2.204 * [backup-simplify]: Simplify (/ 1 1) into 1 2.204 * [backup-simplify]: Simplify (+ 0 1) into 1 2.205 * [backup-simplify]: Simplify (sqrt 1) into 1 2.205 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.206 * [backup-simplify]: Simplify (+ 0 0) into 0 2.206 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.206 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.206 * [taylor]: Taking taylor expansion of re in re 2.206 * [backup-simplify]: Simplify 0 into 0 2.206 * [backup-simplify]: Simplify 1 into 1 2.206 * [backup-simplify]: Simplify (/ 1 1) into 1 2.207 * [backup-simplify]: Simplify (- 1) into -1 2.207 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.207 * [backup-simplify]: Simplify (- 0) into 0 2.208 * [backup-simplify]: Simplify (+ 0 0) into 0 2.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.209 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.209 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (- 0) into 0 2.210 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.210 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 2.211 * [backup-simplify]: Simplify (sqrt 0) into 0 2.211 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 2.211 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.211 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.211 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.211 * [taylor]: Taking taylor expansion of 2.0 in im 2.211 * [backup-simplify]: Simplify 2.0 into 2.0 2.212 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.212 * [taylor]: Taking taylor expansion of im in im 2.212 * [backup-simplify]: Simplify 0 into 0 2.212 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.213 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.213 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.213 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.213 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.213 * [taylor]: Taking taylor expansion of im in im 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [backup-simplify]: Simplify (* 1 1) into 1 2.213 * [backup-simplify]: Simplify (/ 1 1) into 1 2.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.213 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.213 * [taylor]: Taking taylor expansion of re in im 2.214 * [backup-simplify]: Simplify re into re 2.214 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.214 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.214 * [backup-simplify]: Simplify (+ 1 0) into 1 2.214 * [backup-simplify]: Simplify (sqrt 1) into 1 2.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.215 * [backup-simplify]: Simplify (+ 0 0) into 0 2.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.215 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.216 * [taylor]: Taking taylor expansion of re in im 2.216 * [backup-simplify]: Simplify re into re 2.216 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.216 * [backup-simplify]: Simplify (+ 1 0) into 1 2.216 * [backup-simplify]: Simplify (/ 1 1) into 1 2.216 * [backup-simplify]: Simplify (sqrt 0) into 0 2.217 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.217 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.217 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.217 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.217 * [taylor]: Taking taylor expansion of 2.0 in im 2.217 * [backup-simplify]: Simplify 2.0 into 2.0 2.217 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.218 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.218 * [taylor]: Taking taylor expansion of im in im 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 1 into 1 2.218 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.218 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.218 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.218 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.219 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.219 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.219 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.219 * [taylor]: Taking taylor expansion of im in im 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [backup-simplify]: Simplify (* 1 1) into 1 2.219 * [backup-simplify]: Simplify (/ 1 1) into 1 2.219 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.219 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.219 * [taylor]: Taking taylor expansion of re in im 2.219 * [backup-simplify]: Simplify re into re 2.219 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.219 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.220 * [backup-simplify]: Simplify (+ 1 0) into 1 2.220 * [backup-simplify]: Simplify (sqrt 1) into 1 2.220 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.221 * [backup-simplify]: Simplify (+ 0 0) into 0 2.221 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.221 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.221 * [taylor]: Taking taylor expansion of re in im 2.221 * [backup-simplify]: Simplify re into re 2.221 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.224 * [backup-simplify]: Simplify (+ 1 0) into 1 2.224 * [backup-simplify]: Simplify (/ 1 1) into 1 2.225 * [backup-simplify]: Simplify (sqrt 0) into 0 2.226 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.226 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.226 * [taylor]: Taking taylor expansion of 0 in re 2.226 * [backup-simplify]: Simplify 0 into 0 2.226 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.228 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 2.228 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 2.228 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.228 * [taylor]: Taking taylor expansion of +nan.0 in re 2.228 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.228 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.228 * [taylor]: Taking taylor expansion of 2.0 in re 2.228 * [backup-simplify]: Simplify 2.0 into 2.0 2.228 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.228 * [backup-simplify]: Simplify 0 into 0 2.229 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 2.229 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 2.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 2.229 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 2.230 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.231 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.231 * [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))))) 2.231 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.231 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.231 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.231 * [taylor]: Taking taylor expansion of +nan.0 in re 2.231 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.231 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.231 * [taylor]: Taking taylor expansion of 2.0 in re 2.232 * [backup-simplify]: Simplify 2.0 into 2.0 2.232 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.232 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.232 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.232 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.232 * [taylor]: Taking taylor expansion of +nan.0 in re 2.232 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.232 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.232 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.232 * [taylor]: Taking taylor expansion of 2.0 in re 2.232 * [backup-simplify]: Simplify 2.0 into 2.0 2.233 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.233 * [taylor]: Taking taylor expansion of re in re 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.234 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.235 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.236 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.237 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.238 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.239 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.240 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.240 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.240 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.241 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.242 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.242 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.242 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.243 * [backup-simplify]: Simplify (- 0) into 0 2.243 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 2.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.243 * [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)))) 2.244 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.245 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.246 * [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))))))) 2.246 * [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 2.246 * [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 2.246 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 2.246 * [taylor]: Taking taylor expansion of +nan.0 in re 2.246 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.246 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.246 * [taylor]: Taking taylor expansion of 2.0 in re 2.246 * [backup-simplify]: Simplify 2.0 into 2.0 2.247 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.247 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.247 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 2.247 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 2.247 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 2.247 * [taylor]: Taking taylor expansion of +nan.0 in re 2.247 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.247 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 2.247 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.247 * [taylor]: Taking taylor expansion of 2.0 in re 2.247 * [backup-simplify]: Simplify 2.0 into 2.0 2.247 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.248 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.248 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.248 * [taylor]: Taking taylor expansion of re in re 2.248 * [backup-simplify]: Simplify 0 into 0 2.248 * [backup-simplify]: Simplify 1 into 1 2.248 * [backup-simplify]: Simplify (* 1 1) into 1 2.249 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.249 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 2.249 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 2.249 * [taylor]: Taking taylor expansion of +nan.0 in re 2.249 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.249 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 2.249 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.249 * [taylor]: Taking taylor expansion of 2.0 in re 2.249 * [backup-simplify]: Simplify 2.0 into 2.0 2.249 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.249 * [taylor]: Taking taylor expansion of re in re 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 1 into 1 2.250 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.250 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 2.251 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 2.252 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 2.253 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.254 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.255 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.256 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.258 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 2.258 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 2.261 * [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)))))))) 2.261 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 2.262 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 2.262 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 2.262 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 2.262 * [taylor]: Taking taylor expansion of re in im 2.262 * [backup-simplify]: Simplify re into re 2.262 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.262 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.262 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.262 * [taylor]: Taking taylor expansion of re in im 2.262 * [backup-simplify]: Simplify re into re 2.262 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.262 * [taylor]: Taking taylor expansion of im in im 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 1 into 1 2.262 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.262 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.262 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.262 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.262 * [backup-simplify]: Simplify (+ 0 0) into 0 2.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.262 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.263 * [taylor]: Taking taylor expansion of re in re 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.263 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.263 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.263 * [taylor]: Taking taylor expansion of re in re 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.263 * [taylor]: Taking taylor expansion of im in re 2.263 * [backup-simplify]: Simplify im into im 2.263 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.263 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.263 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.263 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.263 * [backup-simplify]: Simplify (+ 0 0) into 0 2.263 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.263 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 2.263 * [taylor]: Taking taylor expansion of re in re 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.263 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.263 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.263 * [taylor]: Taking taylor expansion of re in re 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.263 * [taylor]: Taking taylor expansion of im in re 2.263 * [backup-simplify]: Simplify im into im 2.264 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.264 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.264 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.264 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.264 * [backup-simplify]: Simplify (+ 0 0) into 0 2.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.264 * [backup-simplify]: Simplify (+ 0 im) into im 2.264 * [taylor]: Taking taylor expansion of im in im 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 1 into 1 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify (+ 1 0) into 1 2.264 * [taylor]: Taking taylor expansion of 1 in im 2.264 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify 1 into 1 2.265 * [backup-simplify]: Simplify (* 1 1) into 1 2.265 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.265 * [backup-simplify]: Simplify (+ 1 0) into 1 2.266 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.266 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 2.266 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.266 * [taylor]: Taking taylor expansion of 1/2 in im 2.266 * [backup-simplify]: Simplify 1/2 into 1/2 2.266 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.266 * [taylor]: Taking taylor expansion of im in im 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 1 into 1 2.266 * [backup-simplify]: Simplify (/ 1 1) into 1 2.267 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.267 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify 0 into 0 2.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.268 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.268 * [backup-simplify]: Simplify (+ 0 0) into 0 2.268 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.268 * [backup-simplify]: Simplify (+ 0 0) into 0 2.268 * [taylor]: Taking taylor expansion of 0 in im 2.268 * [backup-simplify]: Simplify 0 into 0 2.268 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.269 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 2.270 * [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))))) 2.270 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.270 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.270 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.270 * [taylor]: Taking taylor expansion of re in im 2.270 * [backup-simplify]: Simplify re into re 2.270 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.270 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.270 * [taylor]: Taking taylor expansion of im in im 2.270 * [backup-simplify]: Simplify 0 into 0 2.270 * [backup-simplify]: Simplify 1 into 1 2.270 * [backup-simplify]: Simplify (* 1 1) into 1 2.270 * [backup-simplify]: Simplify (/ 1 1) into 1 2.270 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.270 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.270 * [taylor]: Taking taylor expansion of re in im 2.270 * [backup-simplify]: Simplify re into re 2.270 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.271 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.271 * [backup-simplify]: Simplify (+ 1 0) into 1 2.271 * [backup-simplify]: Simplify (sqrt 1) into 1 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.272 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.272 * [backup-simplify]: Simplify (+ 0 0) into 0 2.272 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.272 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.273 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.273 * [taylor]: Taking taylor expansion of re in re 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (/ 1 1) into 1 2.273 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.273 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.273 * [taylor]: Taking taylor expansion of im in re 2.273 * [backup-simplify]: Simplify im into im 2.273 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.273 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.273 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.273 * [taylor]: Taking taylor expansion of re in re 2.273 * [backup-simplify]: Simplify 0 into 0 2.273 * [backup-simplify]: Simplify 1 into 1 2.273 * [backup-simplify]: Simplify (* 1 1) into 1 2.274 * [backup-simplify]: Simplify (/ 1 1) into 1 2.274 * [backup-simplify]: Simplify (+ 0 1) into 1 2.274 * [backup-simplify]: Simplify (sqrt 1) into 1 2.274 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.275 * [backup-simplify]: Simplify (+ 0 0) into 0 2.275 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.275 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.275 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.275 * [taylor]: Taking taylor expansion of re in re 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (/ 1 1) into 1 2.276 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.276 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.276 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.276 * [taylor]: Taking taylor expansion of im in re 2.276 * [backup-simplify]: Simplify im into im 2.276 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.276 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.276 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.276 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.276 * [taylor]: Taking taylor expansion of re in re 2.276 * [backup-simplify]: Simplify 0 into 0 2.276 * [backup-simplify]: Simplify 1 into 1 2.276 * [backup-simplify]: Simplify (* 1 1) into 1 2.276 * [backup-simplify]: Simplify (/ 1 1) into 1 2.277 * [backup-simplify]: Simplify (+ 0 1) into 1 2.277 * [backup-simplify]: Simplify (sqrt 1) into 1 2.277 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.278 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify (+ 0 0) into 0 2.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.279 * [backup-simplify]: Simplify (+ 1 1) into 2 2.279 * [taylor]: Taking taylor expansion of 2 in im 2.279 * [backup-simplify]: Simplify 2 into 2 2.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.279 * [backup-simplify]: Simplify (+ 0 0) into 0 2.279 * [taylor]: Taking taylor expansion of 0 in im 2.279 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify 2 into 2 2.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.281 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.282 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.282 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.282 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.282 * [taylor]: Taking taylor expansion of 1/2 in im 2.282 * [backup-simplify]: Simplify 1/2 into 1/2 2.282 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.282 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.282 * [taylor]: Taking taylor expansion of im in im 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 1 into 1 2.282 * [backup-simplify]: Simplify (* 1 1) into 1 2.282 * [backup-simplify]: Simplify (/ 1 1) into 1 2.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.283 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.283 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.283 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify 0 into 0 2.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.284 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.286 * [backup-simplify]: Simplify (+ 0 0) into 0 2.286 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.286 * [backup-simplify]: Simplify (+ 0 0) into 0 2.286 * [taylor]: Taking taylor expansion of 0 in im 2.286 * [backup-simplify]: Simplify 0 into 0 2.287 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.288 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 2.288 * [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)) 2.288 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.288 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.288 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.288 * [taylor]: Taking taylor expansion of im in im 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify 1 into 1 2.288 * [backup-simplify]: Simplify (* 1 1) into 1 2.289 * [backup-simplify]: Simplify (/ 1 1) into 1 2.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.289 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.289 * [taylor]: Taking taylor expansion of re in im 2.289 * [backup-simplify]: Simplify re into re 2.289 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.289 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.289 * [backup-simplify]: Simplify (+ 1 0) into 1 2.289 * [backup-simplify]: Simplify (sqrt 1) into 1 2.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.290 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.290 * [backup-simplify]: Simplify (+ 0 0) into 0 2.291 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.291 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.291 * [taylor]: Taking taylor expansion of re in im 2.291 * [backup-simplify]: Simplify re into re 2.291 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.291 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.291 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.291 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.291 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.291 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.291 * [taylor]: Taking taylor expansion of im in re 2.291 * [backup-simplify]: Simplify im into im 2.291 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.291 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.291 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.291 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.291 * [taylor]: Taking taylor expansion of re in re 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (* 1 1) into 1 2.292 * [backup-simplify]: Simplify (/ 1 1) into 1 2.292 * [backup-simplify]: Simplify (+ 0 1) into 1 2.292 * [backup-simplify]: Simplify (sqrt 1) into 1 2.292 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.293 * [backup-simplify]: Simplify (+ 0 0) into 0 2.293 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.293 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.293 * [taylor]: Taking taylor expansion of re in re 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [backup-simplify]: Simplify (/ 1 1) into 1 2.294 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.294 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.294 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.294 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.294 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.294 * [taylor]: Taking taylor expansion of im in re 2.294 * [backup-simplify]: Simplify im into im 2.294 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.294 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.294 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.294 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.294 * [taylor]: Taking taylor expansion of re in re 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 1 into 1 2.294 * [backup-simplify]: Simplify (* 1 1) into 1 2.295 * [backup-simplify]: Simplify (/ 1 1) into 1 2.295 * [backup-simplify]: Simplify (+ 0 1) into 1 2.295 * [backup-simplify]: Simplify (sqrt 1) into 1 2.296 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.296 * [backup-simplify]: Simplify (+ 0 0) into 0 2.297 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.297 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.297 * [taylor]: Taking taylor expansion of re in re 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify 1 into 1 2.297 * [backup-simplify]: Simplify (/ 1 1) into 1 2.297 * [backup-simplify]: Simplify (- 1) into -1 2.297 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.297 * [taylor]: Taking taylor expansion of 0 in im 2.297 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.298 * [backup-simplify]: Simplify (- 0) into 0 2.298 * [backup-simplify]: Simplify (+ 0 0) into 0 2.298 * [taylor]: Taking taylor expansion of 0 in im 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.299 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.300 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.301 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.301 * [backup-simplify]: Simplify (- 0) into 0 2.301 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.301 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.301 * [taylor]: Taking taylor expansion of 1/2 in im 2.301 * [backup-simplify]: Simplify 1/2 into 1/2 2.301 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.301 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.301 * [taylor]: Taking taylor expansion of im in im 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 1 into 1 2.301 * [backup-simplify]: Simplify (* 1 1) into 1 2.302 * [backup-simplify]: Simplify (/ 1 1) into 1 2.302 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.302 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.303 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.303 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.304 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.304 * [backup-simplify]: Simplify (+ 0 0) into 0 2.305 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.305 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.305 * [backup-simplify]: Simplify (- 0) into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.306 * [taylor]: Taking taylor expansion of 0 in im 2.306 * [backup-simplify]: Simplify 0 into 0 2.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.307 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.307 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * * * [progress]: simplifying candidates 2.309 * [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 2.312 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h0 h0) (* h1 h1)))) (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (* (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1))))) (cbrt (sqrt (+ (* h0 h0) (* h1 h1)))) (* (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (* (cbrt (+ (* h0 h0) (* h1 h1))) (cbrt (+ (* h0 h0) (* h1 h1))))) (sqrt (cbrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt 1) (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (pow (* h0 h0) 3) (pow (* h1 h1) 3))) (sqrt (+ (* (* h0 h0) (* h0 h0)) (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h1 h1))))) (sqrt (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h1 h1)))) (sqrt (- (* h0 h0) (* h1 h1))) (/ 1 2) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (sqrt (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* (log h1) 2) (log (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (- (* (log h1) 2) (log (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (- (log (pow h1 2)) (log (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (log (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (exp (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (* (* (pow h1 2) (pow h1 2)) (pow h1 2)) (* (* (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (* (cbrt (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (cbrt (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (cbrt (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (* (* (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (sqrt (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (sqrt (/ (pow h1 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (- (pow h1 2)) (- (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (pow (* (cbrt h1) (cbrt h1)) 2) (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) (/ (pow (cbrt h1) 2) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow (* (cbrt h1) (cbrt h1)) 2) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow (cbrt h1) 2) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (/ (pow (* (cbrt h1) (cbrt h1)) 2) 1) (/ (pow (cbrt h1) 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (pow (* (cbrt h1) (cbrt h1)) 2) 1) (/ (pow (cbrt h1) 2) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (/ (pow 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h0))))) (* (exp (sqrt (+ (* h0 h0) (* h1 h1)))) (exp h0)) (log (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (exp (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (cbrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (* (* (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (sqrt (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0)) (+ (pow (sqrt (+ (* h0 h0) (* h1 h1))) 3) (pow h0 3)) (+ (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (- (* h0 h0) (* (sqrt (+ (* h0 h0) (* h1 h1))) h0))) (- (* (sqrt (+ (* h0 h0) (* h1 h1))) (sqrt (+ (* h0 h0) (* h1 h1)))) (* h0 h0)) (- (sqrt (+ (* h0 h0) (* h1 h1))) h0) (+ (sqrt (+ (* h0 h0) (* h1 h1))) h0) h1 h0 (* -1 h0) 0 0 (- (+ h0 h1)) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) (* h1 h0)))) (- (+ (* h3 (* (sqrt h2) (* (sqrt 1/2) h1))) (- (* h3 (/ (* (sqrt h2) (pow h1 3)) (sqrt 1/2)))))))) (- (+ (* h3 (/ (sqrt h2) (pow h1 2))) (- (+ (* h3 (/ (sqrt h2) h1)) (- (* h3 (sqrt h2))))))) (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (* (sqrt h2) h0) h1)) (- (* h3 (/ (* (sqrt h2) h0) (pow h1 2)))))))) (+ h0 h1) (* 2 h0) 0 2.318 * * [simplify]: iteration 0 : 417 enodes (cost 1078 ) 2.325 * * [simplify]: iteration 1 : 1461 enodes (cost 985 ) 2.355 * * [simplify]: iteration 2 : 5001 enodes (cost 978 ) 2.360 * * * [progress]: adding candidates to table 2.618 * [progress]: [Phase 3 of 3] Extracting. 2.618 * * [regime]: Finding splitpoints for: (# # # # # # # # #) 2.619 * * * [regime-changes]: Trying 7 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re) 2.619 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 2.675 * * * * [regimes]: Trying to branch on (* im im) from (# # #) 2.703 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # #) 2.749 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # #) 2.799 * * * * [regimes]: Trying to branch on (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) from (# # # # # # # # #) 2.849 * * * * [regimes]: Trying to branch on (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) from (# # # # # # # # #) 2.899 * * * * [regimes]: Trying to branch on im from (# # # # # # # # #) 2.957 * * * * [regimes]: Trying to branch on re from (# # # # # # # # #) 3.008 * * * [regime]: Found split indices: #