2.379 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.027 * * * [progress]: [2/2] Setting up program. 0.030 * [progress]: [Phase 2 of 3] Improving. 0.030 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) 0.030 * [simplify]: Sending expressions to egg_math: (* h3 (sqrt (* h2 (- (sqrt (+ (* h0 h0) (* h1 h1))) h0)))) 0.032 * * [simplify]: iteration 0 : 17 enodes (cost 8 ) 0.033 * * [simplify]: iteration 1 : 24 enodes (cost 8 ) 0.035 * * [simplify]: iteration 2 : 30 enodes (cost 8 ) 0.036 * * [simplify]: iteration 3 : 35 enodes (cost 8 ) 0.037 * * [simplify]: iteration 4 : 35 enodes (cost 8 ) 0.038 * * [progress]: iteration 1 / 4 0.038 * * * [progress]: picking best candidate 0.040 * * * * [pick]: Picked # 0.040 * * * [progress]: localizing error 0.050 * * * [progress]: generating rewritten candidates 0.050 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.059 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.103 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.132 * * * [progress]: generating series expansions 0.132 * * * * [progress]: [ 1 / 3 ] 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 0.140 * [backup-simplify]: Simplify (+ 0 0) into 0 0.140 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.140 * [taylor]: Taking taylor expansion of 0 in im 0.140 * [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 0.141 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.141 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.141 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.141 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.141 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.141 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.141 * [taylor]: Taking taylor expansion of im in im 0.141 * [backup-simplify]: Simplify 0 into 0 0.141 * [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)) 0.142 * [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 0.143 * [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 0.144 * [taylor]: Taking taylor expansion of im in re 0.144 * [backup-simplify]: Simplify im into im 0.144 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.144 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.144 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.144 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.144 * [taylor]: Taking taylor expansion of re in re 0.144 * [backup-simplify]: Simplify 0 into 0 0.144 * [backup-simplify]: Simplify 1 into 1 0.144 * [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 0.145 * [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 0.146 * [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 0.147 * [backup-simplify]: Simplify (* 1 1) into 1 0.147 * [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 0.148 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.148 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.148 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.149 * [taylor]: Taking taylor expansion of 1 in im 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [taylor]: Taking taylor expansion of 0 in im 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.150 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.150 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.150 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.151 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.151 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.151 * [taylor]: Taking taylor expansion of 1/2 in im 0.151 * [backup-simplify]: Simplify 1/2 into 1/2 0.151 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.151 * [taylor]: Taking taylor expansion of im in im 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (* 1 1) into 1 0.152 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.152 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify 0 into 0 0.153 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.153 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.154 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.155 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.155 * [taylor]: Taking taylor expansion of 0 in im 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.156 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.156 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.156 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.156 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.156 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.156 * [taylor]: Taking taylor expansion of im in im 0.156 * [backup-simplify]: Simplify 0 into 0 0.156 * [backup-simplify]: Simplify 1 into 1 0.157 * [backup-simplify]: Simplify (* 1 1) into 1 0.157 * [backup-simplify]: Simplify (/ 1 1) into 1 0.157 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.157 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.157 * [taylor]: Taking taylor expansion of re in im 0.157 * [backup-simplify]: Simplify re into re 0.157 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.157 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.157 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [backup-simplify]: Simplify (sqrt 1) into 1 0.158 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.158 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.159 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.159 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.159 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.159 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.159 * [taylor]: Taking taylor expansion of im in re 0.159 * [backup-simplify]: Simplify im into im 0.159 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.159 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.159 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.159 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.159 * [taylor]: Taking taylor expansion of re in re 0.159 * [backup-simplify]: Simplify 0 into 0 0.159 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.160 * [backup-simplify]: Simplify (/ 1 1) into 1 0.160 * [backup-simplify]: Simplify (+ 0 1) into 1 0.160 * [backup-simplify]: Simplify (sqrt 1) into 1 0.161 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.161 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.161 * [backup-simplify]: Simplify (+ 0 0) into 0 0.162 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.162 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.162 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.162 * [taylor]: Taking taylor expansion of im in re 0.162 * [backup-simplify]: Simplify im into im 0.162 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.162 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.162 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.162 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.162 * [taylor]: Taking taylor expansion of re in re 0.162 * [backup-simplify]: Simplify 0 into 0 0.162 * [backup-simplify]: Simplify 1 into 1 0.162 * [backup-simplify]: Simplify (* 1 1) into 1 0.163 * [backup-simplify]: Simplify (/ 1 1) into 1 0.163 * [backup-simplify]: Simplify (+ 0 1) into 1 0.163 * [backup-simplify]: Simplify (sqrt 1) into 1 0.163 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.164 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.164 * [backup-simplify]: Simplify (+ 0 0) into 0 0.164 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.165 * [taylor]: Taking taylor expansion of 1 in im 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [taylor]: Taking taylor expansion of 0 in im 0.165 * [backup-simplify]: Simplify 0 into 0 0.165 * [backup-simplify]: Simplify 1 into 1 0.165 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.166 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.166 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.167 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.167 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.167 * [taylor]: Taking taylor expansion of 1/2 in im 0.167 * [backup-simplify]: Simplify 1/2 into 1/2 0.167 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.167 * [taylor]: Taking taylor expansion of im in im 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 1 into 1 0.167 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.168 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.168 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify 0 into 0 0.168 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.168 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.169 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.169 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.170 * [backup-simplify]: Simplify (+ 0 0) into 0 0.170 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.170 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [backup-simplify]: Simplify 0 into 0 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.174 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.174 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.174 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.174 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.174 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.174 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.174 * [taylor]: Taking taylor expansion of re in im 0.174 * [backup-simplify]: Simplify re into re 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.174 * [taylor]: Taking taylor expansion of im in im 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.175 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.175 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.175 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.175 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.175 * [backup-simplify]: Simplify (+ 0 0) into 0 0.175 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.175 * [taylor]: Taking taylor expansion of re in im 0.175 * [backup-simplify]: Simplify re into re 0.175 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.175 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.175 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.175 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.175 * [taylor]: Taking taylor expansion of re in re 0.175 * [backup-simplify]: Simplify 0 into 0 0.175 * [backup-simplify]: Simplify 1 into 1 0.175 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.175 * [taylor]: Taking taylor expansion of im in re 0.175 * [backup-simplify]: Simplify im into im 0.175 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.176 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.176 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.176 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.176 * [taylor]: Taking taylor expansion of re in re 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.176 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.176 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.176 * [taylor]: Taking taylor expansion of re in re 0.176 * [backup-simplify]: Simplify 0 into 0 0.176 * [backup-simplify]: Simplify 1 into 1 0.176 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.176 * [taylor]: Taking taylor expansion of im in re 0.176 * [backup-simplify]: Simplify im into im 0.176 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.176 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.177 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.177 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.177 * [backup-simplify]: Simplify (+ 0 0) into 0 0.177 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.177 * [taylor]: Taking taylor expansion of re in re 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify (- 0) into 0 0.177 * [backup-simplify]: Simplify (+ im 0) into im 0.177 * [taylor]: Taking taylor expansion of im in im 0.177 * [backup-simplify]: Simplify 0 into 0 0.177 * [backup-simplify]: Simplify 1 into 1 0.177 * [backup-simplify]: Simplify 0 into 0 0.178 * [backup-simplify]: Simplify (- 1) into -1 0.178 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.178 * [taylor]: Taking taylor expansion of -1 in im 0.178 * [backup-simplify]: Simplify -1 into -1 0.178 * [backup-simplify]: Simplify -1 into -1 0.178 * [backup-simplify]: Simplify 1 into 1 0.178 * [backup-simplify]: Simplify (* 1 1) into 1 0.178 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.179 * [backup-simplify]: Simplify (+ 1 0) into 1 0.179 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.179 * [backup-simplify]: Simplify (- 0) into 0 0.179 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.180 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.180 * [taylor]: Taking taylor expansion of 1/2 in im 0.180 * [backup-simplify]: Simplify 1/2 into 1/2 0.180 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.180 * [taylor]: Taking taylor expansion of im in im 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [backup-simplify]: Simplify (/ 1 1) into 1 0.180 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.181 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify 0 into 0 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.182 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.182 * [backup-simplify]: Simplify (+ 0 0) into 0 0.182 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.182 * [backup-simplify]: Simplify (- 0) into 0 0.183 * [backup-simplify]: Simplify (+ 0 0) into 0 0.183 * [taylor]: Taking taylor expansion of 0 in im 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify 0 into 0 0.183 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.184 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify 0 into 0 0.184 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.184 * [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)) 0.184 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.184 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.184 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.184 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.184 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.184 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.184 * [taylor]: Taking taylor expansion of im in im 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 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.185 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.185 * [taylor]: Taking taylor expansion of re in im 0.185 * [backup-simplify]: Simplify re into re 0.185 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.185 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.185 * [backup-simplify]: Simplify (+ 1 0) into 1 0.186 * [backup-simplify]: Simplify (sqrt 1) into 1 0.186 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.186 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.187 * [backup-simplify]: Simplify (+ 0 0) into 0 0.187 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.187 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.187 * [taylor]: Taking taylor expansion of re in im 0.187 * [backup-simplify]: Simplify re into re 0.187 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.187 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.187 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.187 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.187 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.187 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.187 * [taylor]: Taking taylor expansion of im in re 0.187 * [backup-simplify]: Simplify im into im 0.187 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.187 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.188 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.188 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.188 * [taylor]: Taking taylor expansion of re in re 0.188 * [backup-simplify]: Simplify 0 into 0 0.188 * [backup-simplify]: Simplify 1 into 1 0.188 * [backup-simplify]: Simplify (* 1 1) into 1 0.188 * [backup-simplify]: Simplify (/ 1 1) into 1 0.188 * [backup-simplify]: Simplify (+ 0 1) into 1 0.189 * [backup-simplify]: Simplify (sqrt 1) into 1 0.189 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.190 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.190 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.190 * [taylor]: Taking taylor expansion of re in re 0.190 * [backup-simplify]: Simplify 0 into 0 0.190 * [backup-simplify]: Simplify 1 into 1 0.190 * [backup-simplify]: Simplify (/ 1 1) into 1 0.190 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.190 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.190 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.190 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.190 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.190 * [taylor]: Taking taylor expansion of im in re 0.190 * [backup-simplify]: Simplify im into im 0.190 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.191 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.191 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.191 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.191 * [taylor]: Taking taylor expansion of re in re 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 0.191 * [backup-simplify]: Simplify (/ 1 1) into 1 0.191 * [backup-simplify]: Simplify (+ 0 1) into 1 0.192 * [backup-simplify]: Simplify (sqrt 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 (+ 0 0) into 0 0.193 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.193 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.193 * [taylor]: Taking taylor expansion of re in re 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (/ 1 1) into 1 0.194 * [backup-simplify]: Simplify (- 1) into -1 0.194 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.194 * [taylor]: Taking taylor expansion of 0 in im 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.194 * [backup-simplify]: Simplify (- 0) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [taylor]: Taking taylor expansion of 0 in im 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.196 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.197 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.197 * [backup-simplify]: Simplify (- 0) into 0 0.198 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.198 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.198 * [taylor]: Taking taylor expansion of 1/2 in im 0.198 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.199 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.199 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.199 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.200 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.201 * [backup-simplify]: Simplify (+ 0 0) into 0 0.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.202 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (- 0) into 0 0.202 * [backup-simplify]: Simplify (+ 0 0) into 0 0.202 * [taylor]: Taking taylor expansion of 0 in im 0.202 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.203 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.204 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [backup-simplify]: Simplify 0 into 0 0.204 * [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))))) 0.204 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.204 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.204 * [taylor]: Taking taylor expansion of re in im 0.204 * [backup-simplify]: Simplify re into re 0.204 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.204 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.204 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.204 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.205 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.205 * [taylor]: Taking taylor expansion of im in im 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 1 into 1 0.205 * [backup-simplify]: Simplify (* 1 1) into 1 0.205 * [backup-simplify]: Simplify (/ 1 1) into 1 0.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.205 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.205 * [taylor]: Taking taylor expansion of re in im 0.205 * [backup-simplify]: Simplify re into re 0.205 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.205 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.206 * [backup-simplify]: Simplify (+ 1 0) into 1 0.206 * [backup-simplify]: Simplify (sqrt 1) into 1 0.206 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.207 * [backup-simplify]: Simplify (+ 0 0) into 0 0.207 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.207 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.207 * [taylor]: Taking taylor expansion of re in re 0.207 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify 1 into 1 0.207 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.208 * [taylor]: Taking taylor expansion of im in re 0.208 * [backup-simplify]: Simplify im into im 0.208 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.208 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.208 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.208 * [taylor]: Taking taylor expansion of re in re 0.208 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.209 * [backup-simplify]: Simplify (+ 0 1) into 1 0.209 * [backup-simplify]: Simplify (sqrt 1) into 1 0.209 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.210 * [backup-simplify]: Simplify (+ 0 0) into 0 0.210 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.210 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.210 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.210 * [taylor]: Taking taylor expansion of re in re 0.210 * [backup-simplify]: Simplify 0 into 0 0.210 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.211 * [taylor]: Taking taylor expansion of im in re 0.211 * [backup-simplify]: Simplify im into im 0.211 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.211 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.211 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.211 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.211 * [taylor]: Taking taylor expansion of re in re 0.211 * [backup-simplify]: Simplify 0 into 0 0.211 * [backup-simplify]: Simplify 1 into 1 0.211 * [backup-simplify]: Simplify (* 1 1) into 1 0.211 * [backup-simplify]: Simplify (/ 1 1) into 1 0.212 * [backup-simplify]: Simplify (+ 0 1) into 1 0.212 * [backup-simplify]: Simplify (sqrt 1) into 1 0.212 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.213 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.213 * [backup-simplify]: Simplify (+ 0 0) into 0 0.214 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.214 * [backup-simplify]: Simplify (+ 1 1) into 2 0.214 * [taylor]: Taking taylor expansion of 2 in im 0.214 * [backup-simplify]: Simplify 2 into 2 0.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.215 * [backup-simplify]: Simplify (+ 0 0) into 0 0.215 * [taylor]: Taking taylor expansion of 0 in im 0.215 * [backup-simplify]: Simplify 0 into 0 0.215 * [backup-simplify]: Simplify 2 into 2 0.215 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.216 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.217 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.217 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.217 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.217 * [taylor]: Taking taylor expansion of 1/2 in im 0.217 * [backup-simplify]: Simplify 1/2 into 1/2 0.217 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.217 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.217 * [taylor]: Taking taylor expansion of im in im 0.217 * [backup-simplify]: Simplify 0 into 0 0.217 * [backup-simplify]: Simplify 1 into 1 0.218 * [backup-simplify]: Simplify (* 1 1) into 1 0.218 * [backup-simplify]: Simplify (/ 1 1) into 1 0.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.219 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.219 * [backup-simplify]: Simplify 0 into 0 0.220 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.220 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.220 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.220 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.221 * [backup-simplify]: Simplify (+ 0 0) into 0 0.221 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.222 * [backup-simplify]: Simplify (+ 0 0) into 0 0.222 * [taylor]: Taking taylor expansion of 0 in im 0.222 * [backup-simplify]: Simplify 0 into 0 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify 0 into 0 0.223 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.224 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.224 * [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))) 0.224 * [approximate]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in (re im) around 0 0.224 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.224 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.224 * [taylor]: Taking taylor expansion of 2.0 in im 0.224 * [backup-simplify]: Simplify 2.0 into 2.0 0.224 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.225 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.225 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.225 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.225 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.225 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.225 * [taylor]: Taking taylor expansion of re in im 0.225 * [backup-simplify]: Simplify re into re 0.225 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.225 * [taylor]: Taking taylor expansion of im in im 0.225 * [backup-simplify]: Simplify 0 into 0 0.225 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.225 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.225 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.225 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.225 * [backup-simplify]: Simplify (+ 0 0) into 0 0.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.226 * [taylor]: Taking taylor expansion of re in im 0.226 * [backup-simplify]: Simplify re into re 0.226 * [backup-simplify]: Simplify (- re) into (- re) 0.226 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.226 * [backup-simplify]: Simplify (- 0) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.226 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.227 * [backup-simplify]: Simplify (* 1 1) into 1 0.227 * [backup-simplify]: Simplify (+ 0 1) into 1 0.227 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.227 * [backup-simplify]: Simplify (- 0) into 0 0.228 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.228 * [backup-simplify]: Simplify (sqrt (* 1/2 (/ 1 re))) into (* (sqrt (/ 1 re)) (sqrt 1/2)) 0.228 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 0.228 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 0.229 * [backup-simplify]: Simplify (- 0) into 0 0.229 * [backup-simplify]: Simplify (+ 0 0) into 0 0.229 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 1/2 (/ 1 re))))) into 0 0.229 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.229 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.229 * [taylor]: Taking taylor expansion of 2.0 in re 0.229 * [backup-simplify]: Simplify 2.0 into 2.0 0.230 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.230 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.230 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.230 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.230 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.230 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.230 * [taylor]: Taking taylor expansion of re in re 0.230 * [backup-simplify]: Simplify 0 into 0 0.230 * [backup-simplify]: Simplify 1 into 1 0.230 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.230 * [taylor]: Taking taylor expansion of im in re 0.230 * [backup-simplify]: Simplify im into im 0.230 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.230 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.231 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.231 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.231 * [backup-simplify]: Simplify (+ 0 0) into 0 0.231 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.231 * [taylor]: Taking taylor expansion of re in re 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (- 0) into 0 0.231 * [backup-simplify]: Simplify (+ im 0) into im 0.231 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.232 * [backup-simplify]: Simplify (- 1) into -1 0.232 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.232 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.232 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.232 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.232 * [taylor]: Taking taylor expansion of 2.0 in re 0.232 * [backup-simplify]: Simplify 2.0 into 2.0 0.232 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.233 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.233 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.233 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.233 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.233 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.233 * [taylor]: Taking taylor expansion of re in re 0.233 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify 1 into 1 0.233 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.233 * [taylor]: Taking taylor expansion of im in re 0.233 * [backup-simplify]: Simplify im into im 0.233 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.233 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.233 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.233 * [backup-simplify]: Simplify (+ 0 0) into 0 0.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.233 * [taylor]: Taking taylor expansion of re in re 0.233 * [backup-simplify]: Simplify 0 into 0 0.234 * [backup-simplify]: Simplify 1 into 1 0.234 * [backup-simplify]: Simplify (- 0) into 0 0.234 * [backup-simplify]: Simplify (+ im 0) into im 0.234 * [backup-simplify]: Simplify (sqrt im) into (sqrt im) 0.234 * [backup-simplify]: Simplify (- 1) into -1 0.234 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.234 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt im))) into (* -1/2 (sqrt (/ 1 im))) 0.235 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt im)) into (* (sqrt 2.0) (sqrt im)) 0.235 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt im)) in im 0.235 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.235 * [taylor]: Taking taylor expansion of 2.0 in im 0.235 * [backup-simplify]: Simplify 2.0 into 2.0 0.235 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.235 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.235 * [taylor]: Taking taylor expansion of (sqrt im) in im 0.235 * [taylor]: Taking taylor expansion of im in im 0.235 * [backup-simplify]: Simplify 0 into 0 0.235 * [backup-simplify]: Simplify 1 into 1 0.236 * [backup-simplify]: Simplify (sqrt 0) into 0 0.237 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.238 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.239 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.239 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* -1/2 (sqrt (/ 1 im)))) (* 0 (sqrt im))) into (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) 0.239 * [taylor]: Taking taylor expansion of (- (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im))))) in im 0.239 * [taylor]: Taking taylor expansion of (* 1/2 (* (sqrt 2.0) (sqrt (/ 1 im)))) in im 0.239 * [taylor]: Taking taylor expansion of 1/2 in im 0.239 * [backup-simplify]: Simplify 1/2 into 1/2 0.239 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (/ 1 im))) in im 0.239 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.239 * [taylor]: Taking taylor expansion of 2.0 in im 0.239 * [backup-simplify]: Simplify 2.0 into 2.0 0.240 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.240 * [taylor]: Taking taylor expansion of (sqrt (/ 1 im)) in im 0.240 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.240 * [taylor]: Taking taylor expansion of im in im 0.240 * [backup-simplify]: Simplify 0 into 0 0.240 * [backup-simplify]: Simplify 1 into 1 0.240 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [backup-simplify]: Simplify (sqrt 0) into 0 0.241 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.244 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.246 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.247 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.247 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.250 * [backup-simplify]: Simplify (+ (* 1/2 (- (* +nan.0 (sqrt 2.0)))) (+ (* 0 (- (* +nan.0 (sqrt 2.0)))) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.251 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.252 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.254 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.255 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.256 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.257 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.260 * [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)))))))) 0.260 * [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)))) 0.260 * [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 0.260 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.261 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.261 * [taylor]: Taking taylor expansion of 2.0 in im 0.261 * [backup-simplify]: Simplify 2.0 into 2.0 0.261 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.261 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.261 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.261 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.261 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.261 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.261 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.261 * [taylor]: Taking taylor expansion of im in im 0.261 * [backup-simplify]: Simplify 0 into 0 0.261 * [backup-simplify]: Simplify 1 into 1 0.262 * [backup-simplify]: Simplify (* 1 1) into 1 0.262 * [backup-simplify]: Simplify (/ 1 1) into 1 0.262 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.262 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.262 * [taylor]: Taking taylor expansion of re in im 0.262 * [backup-simplify]: Simplify re into re 0.262 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.262 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.262 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [backup-simplify]: Simplify (sqrt 1) into 1 0.263 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.264 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.264 * [backup-simplify]: Simplify (+ 0 0) into 0 0.264 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.264 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.264 * [taylor]: Taking taylor expansion of re in im 0.264 * [backup-simplify]: Simplify re into re 0.264 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.265 * [backup-simplify]: Simplify (+ 1 0) into 1 0.265 * [backup-simplify]: Simplify (sqrt 0) into 0 0.266 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 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 0.268 * [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 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.270 * [backup-simplify]: Simplify (/ 1 1) into 1 0.270 * [backup-simplify]: Simplify (- 1) into -1 0.273 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.273 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.274 * [backup-simplify]: Simplify (- 0) into 0 0.274 * [backup-simplify]: Simplify (+ 0 0) into 0 0.274 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.275 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.275 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.276 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (- 0) into 0 0.277 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.277 * [backup-simplify]: Simplify (sqrt 0) into 0 0.277 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.278 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.278 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.278 * [taylor]: Taking taylor expansion of 2.0 in re 0.278 * [backup-simplify]: Simplify 2.0 into 2.0 0.278 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.278 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.278 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.278 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.278 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.278 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.278 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.278 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.278 * [taylor]: Taking taylor expansion of im in re 0.278 * [backup-simplify]: Simplify im into im 0.278 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.279 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.279 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.279 * [taylor]: Taking taylor expansion of re in re 0.279 * [backup-simplify]: Simplify 0 into 0 0.279 * [backup-simplify]: Simplify 1 into 1 0.279 * [backup-simplify]: Simplify (* 1 1) into 1 0.279 * [backup-simplify]: Simplify (/ 1 1) into 1 0.279 * [backup-simplify]: Simplify (+ 0 1) into 1 0.280 * [backup-simplify]: Simplify (sqrt 1) into 1 0.280 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.281 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.281 * [backup-simplify]: Simplify (+ 0 0) into 0 0.281 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.281 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.281 * [taylor]: Taking taylor expansion of re in re 0.281 * [backup-simplify]: Simplify 0 into 0 0.281 * [backup-simplify]: Simplify 1 into 1 0.282 * [backup-simplify]: Simplify (/ 1 1) into 1 0.282 * [backup-simplify]: Simplify (- 1) into -1 0.282 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (- 0) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.285 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.285 * [backup-simplify]: Simplify (- 0) into 0 0.286 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.286 * [backup-simplify]: Simplify (sqrt 0) into 0 0.286 * [backup-simplify]: Simplify (/ (* 1/2 (/ 1 (pow im 2))) (* 2 (sqrt 0))) into (/ +nan.0 (pow im 2)) 0.287 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.287 * [taylor]: Taking taylor expansion of 0 in im 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (/ +nan.0 (pow im 2))) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) 0.287 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 2)))) in im 0.287 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.287 * [taylor]: Taking taylor expansion of +nan.0 in im 0.287 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.287 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.287 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.288 * [taylor]: Taking taylor expansion of 2.0 in im 0.288 * [backup-simplify]: Simplify 2.0 into 2.0 0.288 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.288 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.288 * [taylor]: Taking taylor expansion of im in im 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.289 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.289 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.290 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.290 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.291 * [backup-simplify]: Simplify (- 0) into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify 0 into 0 0.291 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.292 * [backup-simplify]: Simplify (+ 0 0) into 0 0.293 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (- 0) into 0 0.294 * [backup-simplify]: Simplify (+ 0 0) into 0 0.294 * [backup-simplify]: Simplify (/ (- 0 (pow (/ +nan.0 (pow im 2)) 2) (+)) (* 2 0)) into (/ +nan.0 (pow im 4)) 0.295 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.296 * [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)))) 0.296 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 4)))) in im 0.296 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.296 * [taylor]: Taking taylor expansion of +nan.0 in im 0.296 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.296 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.296 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.296 * [taylor]: Taking taylor expansion of 2.0 in im 0.296 * [backup-simplify]: Simplify 2.0 into 2.0 0.296 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.296 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.296 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.296 * [taylor]: Taking taylor expansion of im in im 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 1 into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.297 * [backup-simplify]: Simplify (* 1 1) into 1 0.298 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.298 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.299 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.300 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.301 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.302 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.302 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.303 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.304 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.305 * [backup-simplify]: Simplify (- 0) into 0 0.305 * [backup-simplify]: Simplify 0 into 0 0.305 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.306 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.306 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.307 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.307 * [backup-simplify]: Simplify (- 0) into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.307 * [backup-simplify]: Simplify 0 into 0 0.308 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.308 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.309 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.309 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.309 * [backup-simplify]: Simplify (+ 0 0) into 0 0.310 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.311 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.311 * [backup-simplify]: Simplify (- 0) into 0 0.311 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.312 * [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)))))) 0.312 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.314 * [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)))))) 0.314 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))))) in im 0.314 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 4))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 6))))) in im 0.314 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 4))) in im 0.314 * [taylor]: Taking taylor expansion of +nan.0 in im 0.314 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.314 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 4)) in im 0.314 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.314 * [taylor]: Taking taylor expansion of 2.0 in im 0.314 * [backup-simplify]: Simplify 2.0 into 2.0 0.314 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.314 * [taylor]: Taking taylor expansion of (pow im 4) in im 0.314 * [taylor]: Taking taylor expansion of im in im 0.314 * [backup-simplify]: Simplify 0 into 0 0.314 * [backup-simplify]: Simplify 1 into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (* 1 1) into 1 0.315 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.315 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) (pow im 6)))) in im 0.316 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 6))) in im 0.316 * [taylor]: Taking taylor expansion of +nan.0 in im 0.316 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.316 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 6)) in im 0.316 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.316 * [taylor]: Taking taylor expansion of 2.0 in im 0.316 * [backup-simplify]: Simplify 2.0 into 2.0 0.316 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.316 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.316 * [taylor]: Taking taylor expansion of (pow im 6) in im 0.316 * [taylor]: Taking taylor expansion of im in im 0.316 * [backup-simplify]: Simplify 0 into 0 0.316 * [backup-simplify]: Simplify 1 into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.317 * [backup-simplify]: Simplify (* 1 1) into 1 0.318 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.318 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.319 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.320 * [backup-simplify]: Simplify (+ (* 1 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 1)) into 0 0.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.322 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.323 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.324 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 0.325 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.326 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.327 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.328 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.329 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.332 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.333 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.334 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.335 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.336 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.337 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.339 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))))) into 0 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify (+ 0 0) into 0 0.340 * [backup-simplify]: Simplify (- 0) into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [backup-simplify]: Simplify 0 into 0 0.340 * [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))))))) 0.341 * [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 0.341 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.341 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.341 * [taylor]: Taking taylor expansion of 2.0 in im 0.341 * [backup-simplify]: Simplify 2.0 into 2.0 0.341 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.341 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.341 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.341 * [taylor]: Taking taylor expansion of re in im 0.341 * [backup-simplify]: Simplify re into re 0.341 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.341 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.341 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.342 * [taylor]: Taking taylor expansion of im in im 0.342 * [backup-simplify]: Simplify 0 into 0 0.342 * [backup-simplify]: Simplify 1 into 1 0.342 * [backup-simplify]: Simplify (* 1 1) into 1 0.342 * [backup-simplify]: Simplify (/ 1 1) into 1 0.342 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.342 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.342 * [taylor]: Taking taylor expansion of re in im 0.342 * [backup-simplify]: Simplify re into re 0.342 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.342 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.342 * [backup-simplify]: Simplify (+ 1 0) into 1 0.343 * [backup-simplify]: Simplify (sqrt 1) into 1 0.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.344 * [backup-simplify]: Simplify (+ 0 0) into 0 0.344 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.344 * [backup-simplify]: Simplify (+ 0 1) into 1 0.345 * [backup-simplify]: Simplify (sqrt 0) into 0 0.345 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 0.345 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.346 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.346 * [taylor]: Taking taylor expansion of 2.0 in re 0.346 * [backup-simplify]: Simplify 2.0 into 2.0 0.346 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.346 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.346 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.346 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.346 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.346 * [taylor]: Taking taylor expansion of re in re 0.346 * [backup-simplify]: Simplify 0 into 0 0.346 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.347 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.347 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.347 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.347 * [taylor]: Taking taylor expansion of im in re 0.347 * [backup-simplify]: Simplify im into im 0.347 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.347 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.347 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.347 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.347 * [taylor]: Taking taylor expansion of re in re 0.347 * [backup-simplify]: Simplify 0 into 0 0.347 * [backup-simplify]: Simplify 1 into 1 0.347 * [backup-simplify]: Simplify (* 1 1) into 1 0.347 * [backup-simplify]: Simplify (/ 1 1) into 1 0.348 * [backup-simplify]: Simplify (+ 0 1) into 1 0.348 * [backup-simplify]: Simplify (sqrt 1) into 1 0.348 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.349 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.349 * [backup-simplify]: Simplify (+ 0 0) into 0 0.349 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.349 * [backup-simplify]: Simplify (+ 1 1) into 2 0.350 * [backup-simplify]: Simplify (sqrt 0) into 0 0.350 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.350 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.350 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 0.351 * [taylor]: Taking taylor expansion of 2.0 in re 0.351 * [backup-simplify]: Simplify 2.0 into 2.0 0.351 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.351 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.351 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.351 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.351 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.351 * [taylor]: Taking taylor expansion of re in re 0.351 * [backup-simplify]: Simplify 0 into 0 0.351 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.352 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.352 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.352 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.352 * [taylor]: Taking taylor expansion of im in re 0.352 * [backup-simplify]: Simplify im into im 0.352 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.352 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.352 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.352 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.352 * [taylor]: Taking taylor expansion of re in re 0.352 * [backup-simplify]: Simplify 0 into 0 0.352 * [backup-simplify]: Simplify 1 into 1 0.352 * [backup-simplify]: Simplify (* 1 1) into 1 0.352 * [backup-simplify]: Simplify (/ 1 1) into 1 0.353 * [backup-simplify]: Simplify (+ 0 1) into 1 0.353 * [backup-simplify]: Simplify (sqrt 1) into 1 0.353 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.354 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.354 * [backup-simplify]: Simplify (+ 0 0) into 0 0.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.354 * [backup-simplify]: Simplify (+ 1 1) into 2 0.355 * [backup-simplify]: Simplify (sqrt 0) into 0 0.355 * [backup-simplify]: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 0.356 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 0.356 * [taylor]: Taking taylor expansion of 0 in im 0.356 * [backup-simplify]: Simplify 0 into 0 0.357 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 0.357 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.357 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) 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) 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) 0.358 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.358 * [backup-simplify]: Simplify 0 into 0 0.358 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.358 * [backup-simplify]: Simplify (+ 0 0) into 0 0.360 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.361 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.362 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (sqrt 2.0))) 0.362 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.362 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.362 * [taylor]: Taking taylor expansion of +nan.0 in im 0.362 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.362 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.362 * [taylor]: Taking taylor expansion of 2.0 in im 0.362 * [backup-simplify]: Simplify 2.0 into 2.0 0.363 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.363 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.367 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.368 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.369 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.369 * [backup-simplify]: Simplify 0 into 0 0.370 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.370 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.371 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.371 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.372 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.372 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.373 * [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)) 0.374 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.375 * [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))))) 0.375 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.375 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.375 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.375 * [taylor]: Taking taylor expansion of +nan.0 in im 0.375 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.375 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.375 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.375 * [taylor]: Taking taylor expansion of 2.0 in im 0.375 * [backup-simplify]: Simplify 2.0 into 2.0 0.375 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.375 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.375 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.375 * [taylor]: Taking taylor expansion of im in im 0.375 * [backup-simplify]: Simplify 0 into 0 0.375 * [backup-simplify]: Simplify 1 into 1 0.376 * [backup-simplify]: Simplify (* 1 1) into 1 0.376 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.376 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.376 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.376 * [taylor]: Taking taylor expansion of +nan.0 in im 0.376 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.376 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.376 * [taylor]: Taking taylor expansion of 2.0 in im 0.376 * [backup-simplify]: Simplify 2.0 into 2.0 0.377 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.377 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.378 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.378 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.379 * [backup-simplify]: Simplify (+ 0 0) into 0 0.379 * [backup-simplify]: Simplify (- 0) into 0 0.379 * [backup-simplify]: Simplify 0 into 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))) 0.381 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.382 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.382 * [backup-simplify]: Simplify (- 0) into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.382 * [backup-simplify]: Simplify 0 into 0 0.383 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.383 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.383 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.383 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.384 * [backup-simplify]: Simplify (+ 0 0) into 0 0.385 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.385 * [backup-simplify]: Simplify (+ 0 0) into 0 0.386 * [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))) 0.386 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 0.388 * [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))))) 0.388 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0))))) in im 0.388 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (* +nan.0 (sqrt 2.0)))) in im 0.388 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow im 2))) in im 0.388 * [taylor]: Taking taylor expansion of +nan.0 in im 0.388 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.388 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow im 2)) in im 0.388 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.388 * [taylor]: Taking taylor expansion of 2.0 in im 0.388 * [backup-simplify]: Simplify 2.0 into 2.0 0.388 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.388 * [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 (/ (sqrt 2.0) 1) into (sqrt 2.0) 0.389 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in im 0.389 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in im 0.389 * [taylor]: Taking taylor expansion of +nan.0 in im 0.389 * [backup-simplify]: Simplify +nan.0 into +nan.0 0.389 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 0.389 * [taylor]: Taking taylor expansion of 2.0 in im 0.389 * [backup-simplify]: Simplify 2.0 into 2.0 0.390 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 0.390 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 0.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.391 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 0.392 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 0.392 * [backup-simplify]: Simplify (+ 0 0) into 0 0.392 * [backup-simplify]: Simplify (- 0) into 0 0.392 * [backup-simplify]: Simplify 0 into 0 0.393 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 0.393 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.394 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.394 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 0.395 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 0.396 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.397 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.398 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 0.399 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 0.402 * [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))))))) 0.402 * * * [progress]: simplifying candidates 0.403 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) (log (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (exp (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt 2.0) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (* 2.0 (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (sqrt (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (sqrt (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)))) im re (* -1 re) (- im re) 0 (* -2 re) (- (+ (* +nan.0 (* (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (* (sqrt 2.0) im)) (- (* +nan.0 (* (sqrt 2.0) (* im re)))))))) 0 (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 0.403 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- h1) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- h1) (log (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (exp (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))))) (cbrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (* (* (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt h2) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (* h2 (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)))) (sqrt (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (* h2 (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)))) (sqrt (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) (sqrt (sqrt (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)))) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) (- (+ (* h3 (* (sqrt h2) (pow h0 2))) (- (+ (* h3 (* (sqrt h2) h0)) (- (* h3 (* (sqrt h2) (* h0 h1)))))))) 0 (- (+ (* h3 (sqrt h2)) (- (+ (* h3 (/ (sqrt h2) (pow h1 2))) (- (* h3 (/ (sqrt h2) h1))))))) 0.407 * * [simplify]: iteration 0 : 232 enodes (cost 382 ) 0.411 * * [simplify]: iteration 1 : 768 enodes (cost 356 ) 0.424 * * [simplify]: iteration 2 : 2506 enodes (cost 346 ) 0.475 * * [simplify]: iteration 3 : 5001 enodes (cost 344 ) 0.477 * * * [progress]: adding candidates to table 0.626 * * [progress]: iteration 2 / 4 0.626 * * * [progress]: picking best candidate 0.644 * * * * [pick]: Picked # 0.644 * * * [progress]: localizing error 0.658 * * * [progress]: generating rewritten candidates 0.658 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.667 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.711 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2) 0.750 * * * [progress]: generating series expansions 0.750 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.750 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.750 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.750 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.750 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.750 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.750 * [taylor]: Taking taylor expansion of re in im 0.750 * [backup-simplify]: Simplify re into re 0.751 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.751 * [taylor]: Taking taylor expansion of im in im 0.751 * [backup-simplify]: Simplify 0 into 0 0.751 * [backup-simplify]: Simplify 1 into 1 0.751 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.751 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.751 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.751 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.751 * [backup-simplify]: Simplify (+ 0 0) into 0 0.751 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.751 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.751 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.751 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.751 * [taylor]: Taking taylor expansion of re in re 0.751 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.752 * [taylor]: Taking taylor expansion of im in re 0.752 * [backup-simplify]: Simplify im into im 0.752 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.752 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.752 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.752 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.752 * [backup-simplify]: Simplify (+ 0 0) into 0 0.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.752 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.752 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.752 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.752 * [taylor]: Taking taylor expansion of re in re 0.752 * [backup-simplify]: Simplify 0 into 0 0.752 * [backup-simplify]: Simplify 1 into 1 0.752 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.752 * [taylor]: Taking taylor expansion of im in re 0.752 * [backup-simplify]: Simplify im into im 0.752 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.752 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.753 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.753 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.753 * [backup-simplify]: Simplify (+ 0 0) into 0 0.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.753 * [taylor]: Taking taylor expansion of im in im 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [taylor]: Taking taylor expansion of 0 in im 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 0 into 0 0.753 * [backup-simplify]: Simplify 1 into 1 0.753 * [backup-simplify]: Simplify (* 1 1) into 1 0.754 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.754 * [backup-simplify]: Simplify (+ 1 0) into 1 0.754 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.755 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.755 * [taylor]: Taking taylor expansion of 1/2 in im 0.755 * [backup-simplify]: Simplify 1/2 into 1/2 0.755 * [taylor]: Taking taylor expansion of im in im 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 1 into 1 0.755 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.755 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.755 * [backup-simplify]: Simplify 0 into 0 0.756 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.756 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.757 * [backup-simplify]: Simplify (+ 0 0) into 0 0.757 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.757 * [taylor]: Taking taylor expansion of 0 in im 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify 0 into 0 0.757 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.758 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.758 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.758 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.758 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.758 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.758 * [taylor]: Taking taylor expansion of im in im 0.758 * [backup-simplify]: Simplify 0 into 0 0.758 * [backup-simplify]: Simplify 1 into 1 0.758 * [backup-simplify]: Simplify (* 1 1) into 1 0.758 * [backup-simplify]: Simplify (/ 1 1) into 1 0.758 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.758 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.758 * [taylor]: Taking taylor expansion of re in im 0.758 * [backup-simplify]: Simplify re into re 0.758 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.758 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.759 * [backup-simplify]: Simplify (+ 1 0) into 1 0.759 * [backup-simplify]: Simplify (sqrt 1) into 1 0.759 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.760 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.760 * [backup-simplify]: Simplify (+ 0 0) into 0 0.760 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.760 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.760 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.760 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.760 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.760 * [taylor]: Taking taylor expansion of im in re 0.760 * [backup-simplify]: Simplify im into im 0.761 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.761 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.761 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.761 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.761 * [taylor]: Taking taylor expansion of re in re 0.761 * [backup-simplify]: Simplify 0 into 0 0.761 * [backup-simplify]: Simplify 1 into 1 0.761 * [backup-simplify]: Simplify (* 1 1) into 1 0.761 * [backup-simplify]: Simplify (/ 1 1) into 1 0.761 * [backup-simplify]: Simplify (+ 0 1) into 1 0.762 * [backup-simplify]: Simplify (sqrt 1) into 1 0.762 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.762 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.763 * [backup-simplify]: Simplify (+ 0 0) into 0 0.763 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.763 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.763 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.763 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.763 * [taylor]: Taking taylor expansion of im in re 0.763 * [backup-simplify]: Simplify im into im 0.763 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.763 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.763 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.763 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.763 * [taylor]: Taking taylor expansion of re in re 0.763 * [backup-simplify]: Simplify 0 into 0 0.763 * [backup-simplify]: Simplify 1 into 1 0.764 * [backup-simplify]: Simplify (* 1 1) into 1 0.764 * [backup-simplify]: Simplify (/ 1 1) into 1 0.764 * [backup-simplify]: Simplify (+ 0 1) into 1 0.764 * [backup-simplify]: Simplify (sqrt 1) into 1 0.765 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.765 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.765 * [backup-simplify]: Simplify (+ 0 0) into 0 0.766 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.766 * [taylor]: Taking taylor expansion of 1 in im 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [taylor]: Taking taylor expansion of 0 in im 0.766 * [backup-simplify]: Simplify 0 into 0 0.766 * [backup-simplify]: Simplify 1 into 1 0.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.767 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.767 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.768 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.768 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.768 * [taylor]: Taking taylor expansion of 1/2 in im 0.768 * [backup-simplify]: Simplify 1/2 into 1/2 0.768 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.768 * [taylor]: Taking taylor expansion of im in im 0.768 * [backup-simplify]: Simplify 0 into 0 0.768 * [backup-simplify]: Simplify 1 into 1 0.768 * [backup-simplify]: Simplify (* 1 1) into 1 0.768 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.769 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.769 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify 0 into 0 0.769 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.770 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.771 * [backup-simplify]: Simplify (+ 0 0) into 0 0.771 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.771 * [taylor]: Taking taylor expansion of 0 in im 0.771 * [backup-simplify]: Simplify 0 into 0 0.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.772 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.773 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.773 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.773 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.773 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.773 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.773 * [taylor]: Taking taylor expansion of im in im 0.773 * [backup-simplify]: Simplify 0 into 0 0.773 * [backup-simplify]: Simplify 1 into 1 0.773 * [backup-simplify]: Simplify (* 1 1) into 1 0.773 * [backup-simplify]: Simplify (/ 1 1) into 1 0.773 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.774 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.774 * [taylor]: Taking taylor expansion of re in im 0.774 * [backup-simplify]: Simplify re into re 0.774 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.774 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.774 * [backup-simplify]: Simplify (+ 1 0) into 1 0.774 * [backup-simplify]: Simplify (sqrt 1) into 1 0.775 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.775 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.775 * [backup-simplify]: Simplify (+ 0 0) into 0 0.776 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.776 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.776 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.776 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.776 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.776 * [taylor]: Taking taylor expansion of im in re 0.776 * [backup-simplify]: Simplify im into im 0.776 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.776 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.776 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.776 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.776 * [taylor]: Taking taylor expansion of re in re 0.776 * [backup-simplify]: Simplify 0 into 0 0.776 * [backup-simplify]: Simplify 1 into 1 0.777 * [backup-simplify]: Simplify (* 1 1) into 1 0.777 * [backup-simplify]: Simplify (/ 1 1) into 1 0.777 * [backup-simplify]: Simplify (+ 0 1) into 1 0.777 * [backup-simplify]: Simplify (sqrt 1) into 1 0.778 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.778 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.778 * [backup-simplify]: Simplify (+ 0 0) into 0 0.779 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.779 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.779 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.779 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.779 * [taylor]: Taking taylor expansion of im in re 0.779 * [backup-simplify]: Simplify im into im 0.779 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.779 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.779 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.779 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.779 * [taylor]: Taking taylor expansion of re in re 0.779 * [backup-simplify]: Simplify 0 into 0 0.779 * [backup-simplify]: Simplify 1 into 1 0.779 * [backup-simplify]: Simplify (* 1 1) into 1 0.779 * [backup-simplify]: Simplify (/ 1 1) into 1 0.780 * [backup-simplify]: Simplify (+ 0 1) into 1 0.780 * [backup-simplify]: Simplify (sqrt 1) into 1 0.780 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.781 * [backup-simplify]: Simplify (+ 0 0) into 0 0.781 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.781 * [taylor]: Taking taylor expansion of 1 in im 0.781 * [backup-simplify]: Simplify 1 into 1 0.781 * [taylor]: Taking taylor expansion of 0 in im 0.781 * [backup-simplify]: Simplify 0 into 0 0.782 * [backup-simplify]: Simplify 1 into 1 0.782 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.783 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.783 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.786 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.786 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.786 * [taylor]: Taking taylor expansion of 1/2 in im 0.786 * [backup-simplify]: Simplify 1/2 into 1/2 0.786 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.786 * [taylor]: Taking taylor expansion of im in im 0.786 * [backup-simplify]: Simplify 0 into 0 0.786 * [backup-simplify]: Simplify 1 into 1 0.786 * [backup-simplify]: Simplify (* 1 1) into 1 0.787 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.787 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.787 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify 0 into 0 0.788 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.788 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.789 * [backup-simplify]: Simplify (+ 0 0) into 0 0.790 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.790 * [taylor]: Taking taylor expansion of 0 in im 0.790 * [backup-simplify]: Simplify 0 into 0 0.790 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.791 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.791 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 0.791 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 0.791 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.791 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.791 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.791 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.791 * [taylor]: Taking taylor expansion of re in im 0.791 * [backup-simplify]: Simplify re into re 0.791 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.791 * [taylor]: Taking taylor expansion of im in im 0.791 * [backup-simplify]: Simplify 0 into 0 0.791 * [backup-simplify]: Simplify 1 into 1 0.791 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.791 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.791 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.791 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.792 * [backup-simplify]: Simplify (+ 0 0) into 0 0.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.792 * [taylor]: Taking taylor expansion of re in im 0.792 * [backup-simplify]: Simplify re into re 0.792 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.792 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.792 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.792 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.792 * [taylor]: Taking taylor expansion of re in re 0.792 * [backup-simplify]: Simplify 0 into 0 0.792 * [backup-simplify]: Simplify 1 into 1 0.792 * [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) 0.792 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.792 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.792 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.793 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.793 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 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 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.793 * [taylor]: Taking taylor expansion of im in re 0.793 * [backup-simplify]: Simplify im into im 0.793 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.793 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.793 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.793 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.793 * [backup-simplify]: Simplify (+ 0 0) into 0 0.793 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.793 * [taylor]: Taking taylor expansion of re in re 0.793 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify (- 0) into 0 0.794 * [backup-simplify]: Simplify (+ im 0) into im 0.794 * [taylor]: Taking taylor expansion of im in im 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify 1 into 1 0.794 * [backup-simplify]: Simplify 0 into 0 0.794 * [backup-simplify]: Simplify (- 1) into -1 0.794 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.794 * [taylor]: Taking taylor expansion of -1 in im 0.794 * [backup-simplify]: Simplify -1 into -1 0.794 * [backup-simplify]: Simplify -1 into -1 0.794 * [backup-simplify]: Simplify 1 into 1 0.795 * [backup-simplify]: Simplify (* 1 1) into 1 0.795 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.795 * [backup-simplify]: Simplify (+ 1 0) into 1 0.796 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.796 * [backup-simplify]: Simplify (- 0) into 0 0.796 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.796 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.796 * [taylor]: Taking taylor expansion of 1/2 in im 0.796 * [backup-simplify]: Simplify 1/2 into 1/2 0.796 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.796 * [taylor]: Taking taylor expansion of im in im 0.796 * [backup-simplify]: Simplify 0 into 0 0.796 * [backup-simplify]: Simplify 1 into 1 0.796 * [backup-simplify]: Simplify (/ 1 1) into 1 0.797 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.797 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.797 * [backup-simplify]: Simplify 0 into 0 0.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.798 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.798 * [backup-simplify]: Simplify (+ 0 0) into 0 0.798 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.799 * [backup-simplify]: Simplify (- 0) into 0 0.799 * [backup-simplify]: Simplify (+ 0 0) into 0 0.799 * [taylor]: Taking taylor expansion of 0 in im 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify 0 into 0 0.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.800 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 0.800 * [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)) 0.800 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.800 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.800 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.800 * [taylor]: Taking taylor expansion of im in im 0.800 * [backup-simplify]: Simplify 0 into 0 0.800 * [backup-simplify]: Simplify 1 into 1 0.801 * [backup-simplify]: Simplify (* 1 1) into 1 0.801 * [backup-simplify]: Simplify (/ 1 1) into 1 0.801 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.801 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.801 * [taylor]: Taking taylor expansion of re in im 0.801 * [backup-simplify]: Simplify re into re 0.801 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.801 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.801 * [backup-simplify]: Simplify (+ 1 0) into 1 0.802 * [backup-simplify]: Simplify (sqrt 1) into 1 0.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.803 * [backup-simplify]: Simplify (+ 0 0) into 0 0.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.803 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.803 * [taylor]: Taking taylor expansion of re in im 0.803 * [backup-simplify]: Simplify re into re 0.803 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.803 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.803 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.803 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.803 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.803 * [taylor]: Taking taylor expansion of im in re 0.803 * [backup-simplify]: Simplify im into im 0.803 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.803 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.803 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.803 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.804 * [taylor]: Taking taylor expansion of re in re 0.804 * [backup-simplify]: Simplify 0 into 0 0.804 * [backup-simplify]: Simplify 1 into 1 0.804 * [backup-simplify]: Simplify (* 1 1) into 1 0.804 * [backup-simplify]: Simplify (/ 1 1) into 1 0.804 * [backup-simplify]: Simplify (+ 0 1) into 1 0.804 * [backup-simplify]: Simplify (sqrt 1) into 1 0.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.805 * [backup-simplify]: Simplify (+ 0 0) into 0 0.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.806 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.806 * [taylor]: Taking taylor expansion of re in re 0.806 * [backup-simplify]: Simplify 0 into 0 0.806 * [backup-simplify]: Simplify 1 into 1 0.806 * [backup-simplify]: Simplify (/ 1 1) into 1 0.806 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.806 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.806 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.806 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.806 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.806 * [taylor]: Taking taylor expansion of im in re 0.806 * [backup-simplify]: Simplify im into im 0.806 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.806 * [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 0.807 * [backup-simplify]: Simplify (/ 1 1) into 1 0.807 * [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 0.808 * [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 (/ 1 re) in re 0.809 * [taylor]: Taking taylor expansion of re in re 0.809 * [backup-simplify]: Simplify 0 into 0 0.809 * [backup-simplify]: Simplify 1 into 1 0.809 * [backup-simplify]: Simplify (/ 1 1) into 1 0.809 * [backup-simplify]: Simplify (- 1) into -1 0.810 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.810 * [taylor]: Taking taylor expansion of 0 in im 0.810 * [backup-simplify]: Simplify 0 into 0 0.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.810 * [backup-simplify]: Simplify (- 0) into 0 0.811 * [backup-simplify]: Simplify (+ 0 0) into 0 0.811 * [taylor]: Taking taylor expansion of 0 in im 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify 0 into 0 0.811 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.812 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.813 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.813 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.813 * [backup-simplify]: Simplify (- 0) into 0 0.813 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.814 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (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 (/ 1 (pow im 2)) in im 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 1) into 1 0.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.815 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 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 0.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.818 * [backup-simplify]: Simplify (- 0) into 0 0.818 * [backup-simplify]: Simplify (+ 0 0) into 0 0.818 * [taylor]: Taking taylor expansion of 0 in im 0.818 * [backup-simplify]: Simplify 0 into 0 0.819 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.819 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.820 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [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))))) 0.820 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.820 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.820 * [taylor]: Taking taylor expansion of re in im 0.820 * [backup-simplify]: Simplify re into re 0.820 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.820 * [taylor]: Taking taylor expansion of im in im 0.820 * [backup-simplify]: Simplify 0 into 0 0.820 * [backup-simplify]: Simplify 1 into 1 0.821 * [backup-simplify]: Simplify (* 1 1) into 1 0.821 * [backup-simplify]: Simplify (/ 1 1) into 1 0.821 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.821 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.821 * [taylor]: Taking taylor expansion of re in im 0.821 * [backup-simplify]: Simplify re into re 0.821 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.821 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.821 * [backup-simplify]: Simplify (+ 1 0) into 1 0.822 * [backup-simplify]: Simplify (sqrt 1) into 1 0.822 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.823 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.823 * [backup-simplify]: Simplify (+ 0 0) into 0 0.823 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.823 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.823 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.823 * [taylor]: Taking taylor expansion of re in re 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 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.824 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.824 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.824 * [taylor]: Taking taylor expansion of im in re 0.824 * [backup-simplify]: Simplify im into im 0.824 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.824 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.824 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.824 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.824 * [taylor]: Taking taylor expansion of re in re 0.824 * [backup-simplify]: Simplify 0 into 0 0.824 * [backup-simplify]: Simplify 1 into 1 0.824 * [backup-simplify]: Simplify (* 1 1) into 1 0.825 * [backup-simplify]: Simplify (/ 1 1) into 1 0.825 * [backup-simplify]: Simplify (+ 0 1) into 1 0.825 * [backup-simplify]: Simplify (sqrt 1) into 1 0.825 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.826 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.826 * [backup-simplify]: Simplify (+ 0 0) into 0 0.826 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.826 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.826 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.826 * [taylor]: Taking taylor expansion of re in re 0.826 * [backup-simplify]: Simplify 0 into 0 0.827 * [backup-simplify]: Simplify 1 into 1 0.827 * [backup-simplify]: Simplify (/ 1 1) into 1 0.827 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.827 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.827 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.827 * [taylor]: Taking taylor expansion of im in re 0.827 * [backup-simplify]: Simplify im into im 0.827 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.827 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.827 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.827 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.827 * [taylor]: Taking taylor expansion of re in re 0.827 * [backup-simplify]: Simplify 0 into 0 0.827 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1 0.828 * [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 0.829 * [backup-simplify]: Simplify (+ 0 0) into 0 0.830 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.830 * [backup-simplify]: Simplify (+ 1 1) into 2 0.830 * [taylor]: Taking taylor expansion of 2 in im 0.830 * [backup-simplify]: Simplify 2 into 2 0.830 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.831 * [backup-simplify]: Simplify (+ 0 0) into 0 0.831 * [taylor]: Taking taylor expansion of 0 in im 0.831 * [backup-simplify]: Simplify 0 into 0 0.831 * [backup-simplify]: Simplify 2 into 2 0.831 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.832 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.833 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.833 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.833 * [taylor]: Taking taylor expansion of 1/2 in im 0.833 * [backup-simplify]: Simplify 1/2 into 1/2 0.833 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.833 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.833 * [taylor]: Taking taylor expansion of im in im 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 (+ (* 1 0) (* 0 1)) into 0 0.835 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.835 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.835 * [backup-simplify]: Simplify 0 into 0 0.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.836 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.836 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.837 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.838 * [backup-simplify]: Simplify (+ 0 0) into 0 0.838 * [taylor]: Taking taylor expansion of 0 in im 0.838 * [backup-simplify]: Simplify 0 into 0 0.838 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.839 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.839 * [backup-simplify]: Simplify 0 into 0 0.840 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 0.840 * * * * [progress]: [ 3 / 3 ] generating series at (2 2) 0.840 * [backup-simplify]: Simplify (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 1/2) into (pow (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re)) 1/2) 0.840 * [approximate]: Taking taylor expansion of (pow (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re)) 1/2) in (re im) around 0 0.840 * [taylor]: Taking taylor expansion of (pow (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re)) 1/2) in im 0.840 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re))))) in im 0.840 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) 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 (log (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 0.840 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 0.840 * [taylor]: Taking taylor expansion of 2.0 in im 0.840 * [backup-simplify]: Simplify 2.0 into 2.0 0.840 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 0.840 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.840 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.840 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.840 * [taylor]: Taking taylor expansion of re in im 0.840 * [backup-simplify]: Simplify re into re 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 (* re re) into (pow re 2) 0.840 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.840 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.840 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.841 * [backup-simplify]: Simplify (+ 0 0) into 0 0.841 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.841 * [taylor]: Taking taylor expansion of re in im 0.841 * [backup-simplify]: Simplify re into re 0.841 * [backup-simplify]: Simplify (- re) into (- re) 0.841 * [backup-simplify]: Simplify (+ re (- re)) into 0 0.841 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.841 * [backup-simplify]: Simplify (- 0) into 0 0.842 * [backup-simplify]: Simplify (+ 0 0) into 0 0.842 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 0)) into 0 0.842 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 0.843 * [backup-simplify]: Simplify (* 1 1) into 1 0.843 * [backup-simplify]: Simplify (+ 0 1) into 1 0.843 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 0.843 * [backup-simplify]: Simplify (- 0) into 0 0.844 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 0.844 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 re))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 re)) 0.844 * [backup-simplify]: Simplify (log (* 1.0 (/ 1 re))) into (log (/ 1.0 re)) 0.844 * [backup-simplify]: Simplify (+ (* (- -2) (log im)) (log (/ 1.0 re))) into (+ (* 2 (log im)) (log (/ 1.0 re))) 0.845 * [backup-simplify]: Simplify (* 1/2 (+ (* 2 (log im)) (log (/ 1.0 re)))) into (* 1/2 (+ (* 2 (log im)) (log (/ 1.0 re)))) 0.845 * [backup-simplify]: Simplify (exp (* 1/2 (+ (* 2 (log im)) (log (/ 1.0 re))))) into (exp (* 1/2 (+ (* 2 (log im)) (log (/ 1.0 re))))) 0.845 * [taylor]: Taking taylor expansion of (pow (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re)) 1/2) in re 0.845 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re))))) in re 0.845 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re 0.845 * [taylor]: Taking taylor expansion of 1/2 in re 0.845 * [backup-simplify]: Simplify 1/2 into 1/2 0.845 * [taylor]: Taking taylor expansion of (log (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.845 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.845 * [taylor]: Taking taylor expansion of 2.0 in re 0.845 * [backup-simplify]: Simplify 2.0 into 2.0 0.845 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.845 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.845 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.845 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.845 * [taylor]: Taking taylor expansion of re in re 0.845 * [backup-simplify]: Simplify 0 into 0 0.845 * [backup-simplify]: Simplify 1 into 1 0.845 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.845 * [taylor]: Taking taylor expansion of im in re 0.845 * [backup-simplify]: Simplify im into im 0.845 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.845 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.845 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.845 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.846 * [backup-simplify]: Simplify (+ 0 0) into 0 0.846 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.846 * [taylor]: Taking taylor expansion of re in re 0.846 * [backup-simplify]: Simplify 0 into 0 0.846 * [backup-simplify]: Simplify 1 into 1 0.846 * [backup-simplify]: Simplify (- 0) into 0 0.846 * [backup-simplify]: Simplify (+ im 0) into im 0.846 * [backup-simplify]: Simplify (* 2.0 im) into (* 2.0 im) 0.846 * [backup-simplify]: Simplify (log (* 2.0 im)) into (log (* 2.0 im)) 0.846 * [backup-simplify]: Simplify (* 1/2 (log (* 2.0 im))) into (* 1/2 (log (* 2.0 im))) 0.846 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2.0 im)))) into (pow (* 2.0 im) 1/2) 0.846 * [taylor]: Taking taylor expansion of (pow (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re)) 1/2) in re 0.846 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re))))) in re 0.846 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re 0.846 * [taylor]: Taking taylor expansion of 1/2 in re 0.846 * [backup-simplify]: Simplify 1/2 into 1/2 0.846 * [taylor]: Taking taylor expansion of (log (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 0.846 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 0.846 * [taylor]: Taking taylor expansion of 2.0 in re 0.846 * [backup-simplify]: Simplify 2.0 into 2.0 0.846 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 0.846 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.846 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.846 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.846 * [taylor]: Taking taylor expansion of re in re 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.847 * [taylor]: Taking taylor expansion of im in re 0.847 * [backup-simplify]: Simplify im into im 0.847 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.847 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.847 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.847 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.847 * [backup-simplify]: Simplify (+ 0 0) into 0 0.847 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.847 * [taylor]: Taking taylor expansion of re in re 0.847 * [backup-simplify]: Simplify 0 into 0 0.847 * [backup-simplify]: Simplify 1 into 1 0.847 * [backup-simplify]: Simplify (- 0) into 0 0.848 * [backup-simplify]: Simplify (+ im 0) into im 0.848 * [backup-simplify]: Simplify (* 2.0 im) into (* 2.0 im) 0.848 * [backup-simplify]: Simplify (log (* 2.0 im)) into (log (* 2.0 im)) 0.848 * [backup-simplify]: Simplify (* 1/2 (log (* 2.0 im))) into (* 1/2 (log (* 2.0 im))) 0.848 * [backup-simplify]: Simplify (exp (* 1/2 (log (* 2.0 im)))) into (pow (* 2.0 im) 1/2) 0.848 * [taylor]: Taking taylor expansion of (pow (* 2.0 im) 1/2) in im 0.848 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 im)))) in im 0.848 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 im))) in im 0.848 * [taylor]: Taking taylor expansion of 1/2 in im 0.848 * [backup-simplify]: Simplify 1/2 into 1/2 0.848 * [taylor]: Taking taylor expansion of (log (* 2.0 im)) in im 0.848 * [taylor]: Taking taylor expansion of (* 2.0 im) in im 0.848 * [taylor]: Taking taylor expansion of 2.0 in im 0.848 * [backup-simplify]: Simplify 2.0 into 2.0 0.848 * [taylor]: Taking taylor expansion of im in im 0.848 * [backup-simplify]: Simplify 0 into 0 0.848 * [backup-simplify]: Simplify 1 into 1 0.848 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.849 * [backup-simplify]: Simplify (+ (* 2.0 1) (* 0 0)) into 2.0 0.849 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.850 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) (log 2.0)) into (+ (log 2.0) (log im)) 0.850 * [backup-simplify]: Simplify (* 1/2 (+ (log 2.0) (log im))) into (* 1/2 (+ (log 2.0) (log im))) 0.850 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2.0) (log im)))) into (exp (* 1/2 (+ (log 2.0) (log im)))) 0.851 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log 2.0) (log im)))) into (exp (* 1/2 (+ (log 2.0) (log im)))) 0.852 * [backup-simplify]: Simplify (- 1) into -1 0.852 * [backup-simplify]: Simplify (+ 0 -1) into -1 0.852 * [backup-simplify]: Simplify (+ (* 2.0 -1) (* 0 im)) into (- 2.0) 0.854 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- 2.0)) 1)) (pow (* 2.0 im) 1)))) 1) into (/ -1.0 im) 0.854 * [backup-simplify]: Simplify (+ (* 1/2 (/ -1.0 im)) (* 0 (log (* 2.0 im)))) into (- (* 0.5 (/ 1 im))) 0.854 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2.0 im)))) (+ (* (/ (pow (- (* 0.5 (/ 1 im))) 1) 1)))) into (* -0.5 (sqrt (/ 2.0 im))) 0.854 * [taylor]: Taking taylor expansion of (* -0.5 (sqrt (/ 2.0 im))) in im 0.854 * [taylor]: Taking taylor expansion of -0.5 in im 0.854 * [backup-simplify]: Simplify -0.5 into -0.5 0.854 * [taylor]: Taking taylor expansion of (sqrt (/ 2.0 im)) in im 0.854 * [taylor]: Taking taylor expansion of (/ 2.0 im) in im 0.854 * [taylor]: Taking taylor expansion of 2.0 in im 0.854 * [backup-simplify]: Simplify 2.0 into 2.0 0.854 * [taylor]: Taking taylor expansion of im in im 0.854 * [backup-simplify]: Simplify 0 into 0 0.854 * [backup-simplify]: Simplify 1 into 1 0.855 * [backup-simplify]: Simplify (/ 2.0 1) into 2.0 0.855 * [backup-simplify]: Simplify (sqrt 0) into 0 0.856 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0 0.857 * [backup-simplify]: Simplify (+ (* -0.5 +nan.0) (* 0 0)) into (- +nan.0) 0.857 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.857 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 1) (* 0 0))) into 0 0.858 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 0.859 * [backup-simplify]: Simplify (+ (* (- -1) (log im)) (log 2.0)) into (+ (log 2.0) (log im)) 0.859 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (log 2.0) (log im)))) into 0 0.860 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log 2.0) (log im)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.860 * [backup-simplify]: Simplify 0 into 0 0.861 * [backup-simplify]: Simplify (* 1 1) into 1 0.861 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.861 * [backup-simplify]: Simplify (+ 1 0) into 1 0.862 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.862 * [backup-simplify]: Simplify (- 0) into 0 0.862 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 0.862 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 im))) (+ (* 0 -1) (* 0 im))) into (* 1.0 (/ 1 im)) 0.864 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- 2.0)) 2)) (pow (* 2.0 im) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1.0 (/ 1 im))) 1)) (pow (* 2.0 im) 1)))) 2) into (* 1/2 (- (* 1.0 (/ 1 (pow im 2))) (* 4.0 (/ 1 (* (pow 2.0 2) (pow im 2)))))) 0.865 * [backup-simplify]: Simplify (+ (* 1/2 (* 1/2 (- (* 1.0 (/ 1 (pow im 2))) (* 4.0 (/ 1 (* (pow 2.0 2) (pow im 2))))))) (+ (* 0 (/ -1.0 im)) (* 0 (log (* 2.0 im))))) into (- (* 0.25 (/ 1 (pow im 2))) (* 1.0 (/ 1 (* (pow im 2) (pow 2.0 2))))) 0.866 * [backup-simplify]: Simplify (* (exp (* 1/2 (log (* 2.0 im)))) (+ (* (/ (pow (- (* 0.5 (/ 1 im))) 2) 2)) (* (/ (pow (- (* 0.25 (/ 1 (pow im 2))) (* 1.0 (/ 1 (* (pow im 2) (pow 2.0 2))))) 1) 1)))) into (* (sqrt (* im 2.0)) (- (* 0.375 (/ 1 (pow im 2))) (* 1.0 (/ 1 (* (pow im 2) (pow 2.0 2)))))) 0.866 * [taylor]: Taking taylor expansion of (* (sqrt (* im 2.0)) (- (* 0.375 (/ 1 (pow im 2))) (* 1.0 (/ 1 (* (pow im 2) (pow 2.0 2)))))) in im 0.866 * [taylor]: Taking taylor expansion of (sqrt (* im 2.0)) in im 0.866 * [taylor]: Taking taylor expansion of (* im 2.0) in im 0.866 * [taylor]: Taking taylor expansion of im in im 0.866 * [backup-simplify]: Simplify 0 into 0 0.866 * [backup-simplify]: Simplify 1 into 1 0.866 * [taylor]: Taking taylor expansion of 2.0 in im 0.866 * [backup-simplify]: Simplify 2.0 into 2.0 0.866 * [backup-simplify]: Simplify (* 0 2.0) into 0 0.867 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 2.0)) into 2.0 0.867 * [backup-simplify]: Simplify (sqrt 0) into 0 0.868 * [backup-simplify]: Simplify (/ 2.0 (* 2 (sqrt 0))) into +nan.0 0.868 * [taylor]: Taking taylor expansion of (- (* 0.375 (/ 1 (pow im 2))) (* 1.0 (/ 1 (* (pow im 2) (pow 2.0 2))))) in im 0.868 * [taylor]: Taking taylor expansion of (* 0.375 (/ 1 (pow im 2))) in im 0.868 * [taylor]: Taking taylor expansion of 0.375 in im 0.868 * [backup-simplify]: Simplify 0.375 into 0.375 0.868 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.868 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.868 * [taylor]: Taking taylor expansion of im in im 0.868 * [backup-simplify]: Simplify 0 into 0 0.868 * [backup-simplify]: Simplify 1 into 1 0.869 * [backup-simplify]: Simplify (* 1 1) into 1 0.869 * [backup-simplify]: Simplify (/ 1 1) into 1 0.869 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 (* (pow im 2) (pow 2.0 2)))) in im 0.869 * [taylor]: Taking taylor expansion of 1.0 in im 0.869 * [backup-simplify]: Simplify 1.0 into 1.0 0.869 * [taylor]: Taking taylor expansion of (/ 1 (* (pow im 2) (pow 2.0 2))) in im 0.869 * [taylor]: Taking taylor expansion of (* (pow im 2) (pow 2.0 2)) in im 0.869 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 * [taylor]: Taking taylor expansion of (pow 2.0 2) in im 0.869 * [taylor]: Taking taylor expansion of 2.0 in im 0.869 * [backup-simplify]: Simplify 2.0 into 2.0 0.869 * [backup-simplify]: Simplify (* 1 1) into 1 0.869 * [backup-simplify]: Simplify (* 2.0 2.0) into 4.0 0.870 * [backup-simplify]: Simplify (* 1 4.0) into 4.0 0.870 * [backup-simplify]: Simplify (/ 1 4.0) into 0.25 0.870 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.871 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.871 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.872 * [backup-simplify]: Simplify (+ (* 0.375 0) (+ (* 0 0) (* 0 1))) into 0 0.873 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 2.0))) into 0 0.873 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.873 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 2.0)) into 0 0.874 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 4.0))) into 0 0.875 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 4.0)) into 0 0.875 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 0 4.0)))) into 0 0.876 * [backup-simplify]: Simplify (- (+ (* 0.25 (/ 0 4.0)) (* 0 (/ 0 4.0)))) into 0 0.876 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* 0 0) (* 0 0.25))) into 0 0.877 * [backup-simplify]: Simplify (- 0) into 0 0.877 * [backup-simplify]: Simplify (+ 0 0) into 0 0.877 * [backup-simplify]: Simplify (+ (* 0.375 0) (* 0 1)) into 0 0.878 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 0.25)) into 0 0.878 * [backup-simplify]: Simplify (- 0) into 0 0.878 * [backup-simplify]: Simplify (+ 0 0) into 0 0.879 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 2.0))) into 0 0.881 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 0.881 * [backup-simplify]: Simplify (* 0.375 1) into 0.375 0.881 * [backup-simplify]: Simplify (* 1.0 0.25) into 0.25 0.881 * [backup-simplify]: Simplify (- 0.25) into (- 0.25) 0.882 * [backup-simplify]: Simplify (+ 0.375 (- 0.25)) into 0.125 0.887 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* +nan.0 0) (* +nan.0 0.125))) into (- +nan.0) 0.887 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 0.888 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (* 1 re) 2)) (+ (* (- +nan.0) (* 1 re)) (exp (* 1/2 (+ (log 2.0) (log im)))))) into (- (exp (* 1/2 (+ (log 2.0) (log im)))) (+ (* +nan.0 (pow re 2)) (- (* +nan.0 re)))) 0.888 * [backup-simplify]: Simplify (pow (* 2.0 (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) 1/2) into (pow (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) 1/2) 0.888 * [approximate]: Taking taylor expansion of (pow (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) 1/2) in (re im) around 0 0.888 * [taylor]: Taking taylor expansion of (pow (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) 1/2) in im 0.888 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))))) in im 0.889 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 0.889 * [taylor]: Taking taylor expansion of 1/2 in im 0.889 * [backup-simplify]: Simplify 1/2 into 1/2 0.889 * [taylor]: Taking taylor expansion of (log (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 0.889 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 0.889 * [taylor]: Taking taylor expansion of 2.0 in im 0.889 * [backup-simplify]: Simplify 2.0 into 2.0 0.889 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 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 (/ 1 re) in im 0.891 * [taylor]: Taking taylor expansion of re in im 0.891 * [backup-simplify]: Simplify re into re 0.892 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.892 * [backup-simplify]: Simplify (+ 1 0) into 1 0.892 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.892 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.893 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) (log 2.0)) into (- (log 2.0) (log im)) 0.893 * [backup-simplify]: Simplify (* 1/2 (- (log 2.0) (log im))) into (* 1/2 (- (log 2.0) (log im))) 0.893 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 2.0) (log im)))) into (exp (* 1/2 (- (log 2.0) (log im)))) 0.893 * [taylor]: Taking taylor expansion of (pow (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) 1/2) in re 0.893 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))))) in re 0.893 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 0.893 * [taylor]: Taking taylor expansion of 1/2 in re 0.893 * [backup-simplify]: Simplify 1/2 into 1/2 0.894 * [taylor]: Taking taylor expansion of (log (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.894 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.894 * [taylor]: Taking taylor expansion of 2.0 in re 0.894 * [backup-simplify]: Simplify 2.0 into 2.0 0.894 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 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 0.894 * [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 re) in re 0.896 * [taylor]: Taking taylor expansion of re in re 0.896 * [backup-simplify]: Simplify 0 into 0 0.896 * [backup-simplify]: Simplify 1 into 1 0.897 * [backup-simplify]: Simplify (/ 1 1) into 1 0.897 * [backup-simplify]: Simplify (- 1) into -1 0.897 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.897 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.898 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.898 * [backup-simplify]: Simplify (- 0) into 0 0.898 * [backup-simplify]: Simplify (+ 0 0) into 0 0.899 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 0)) into 0 0.899 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.900 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.900 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.900 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.901 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.901 * [backup-simplify]: Simplify (- 0) into 0 0.901 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.902 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2))) 0.902 * [backup-simplify]: Simplify (log (* 1.0 (/ 1 (pow im 2)))) into (log (/ 1.0 (pow im 2))) 0.902 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 0.902 * [backup-simplify]: Simplify (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) into (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) 0.903 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) into (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) 0.903 * [taylor]: Taking taylor expansion of (pow (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) 1/2) in re 0.903 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))))) in re 0.903 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 0.903 * [taylor]: Taking taylor expansion of 1/2 in re 0.903 * [backup-simplify]: Simplify 1/2 into 1/2 0.903 * [taylor]: Taking taylor expansion of (log (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 0.903 * [taylor]: Taking taylor expansion of (* 2.0 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 0.903 * [taylor]: Taking taylor expansion of 2.0 in re 0.903 * [backup-simplify]: Simplify 2.0 into 2.0 0.903 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.903 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.903 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.903 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.903 * [taylor]: Taking taylor expansion of im in re 0.903 * [backup-simplify]: Simplify im into im 0.903 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.903 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.903 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.903 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.903 * [taylor]: Taking taylor expansion of re in re 0.903 * [backup-simplify]: Simplify 0 into 0 0.903 * [backup-simplify]: Simplify 1 into 1 0.903 * [backup-simplify]: Simplify (* 1 1) into 1 0.904 * [backup-simplify]: Simplify (/ 1 1) into 1 0.904 * [backup-simplify]: Simplify (+ 0 1) into 1 0.904 * [backup-simplify]: Simplify (sqrt 1) into 1 0.904 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.905 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.905 * [backup-simplify]: Simplify (+ 0 0) into 0 0.905 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.906 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.906 * [taylor]: Taking taylor expansion of re in re 0.906 * [backup-simplify]: Simplify 0 into 0 0.906 * [backup-simplify]: Simplify 1 into 1 0.906 * [backup-simplify]: Simplify (/ 1 1) into 1 0.906 * [backup-simplify]: Simplify (- 1) into -1 0.906 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.907 * [backup-simplify]: Simplify (* 2.0 0) into 0 0.907 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.907 * [backup-simplify]: Simplify (- 0) into 0 0.907 * [backup-simplify]: Simplify (+ 0 0) into 0 0.908 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 0)) into 0 0.908 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.909 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.909 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.910 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.910 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.910 * [backup-simplify]: Simplify (- 0) into 0 0.911 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.911 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))) into (* 1.0 (/ 1 (pow im 2))) 0.911 * [backup-simplify]: Simplify (log (* 1.0 (/ 1 (pow im 2)))) into (log (/ 1.0 (pow im 2))) 0.911 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 0.912 * [backup-simplify]: Simplify (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) into (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) 0.912 * [backup-simplify]: Simplify (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) into (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) 0.912 * [taylor]: Taking taylor expansion of (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) in im 0.912 * [taylor]: Taking taylor expansion of (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) in im 0.912 * [taylor]: Taking taylor expansion of 1/2 in im 0.912 * [backup-simplify]: Simplify 1/2 into 1/2 0.912 * [taylor]: Taking taylor expansion of (+ (log re) (log (/ 1.0 (pow im 2)))) in im 0.912 * [taylor]: Taking taylor expansion of (log re) in im 0.912 * [taylor]: Taking taylor expansion of re in im 0.912 * [backup-simplify]: Simplify re into re 0.912 * [backup-simplify]: Simplify (log re) into (log re) 0.912 * [taylor]: Taking taylor expansion of (log (/ 1.0 (pow im 2))) in im 0.912 * [taylor]: Taking taylor expansion of (/ 1.0 (pow im 2)) in im 0.912 * [taylor]: Taking taylor expansion of 1.0 in im 0.912 * [backup-simplify]: Simplify 1.0 into 1.0 0.912 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.912 * [taylor]: Taking taylor expansion of im in im 0.912 * [backup-simplify]: Simplify 0 into 0 0.912 * [backup-simplify]: Simplify 1 into 1 0.912 * [backup-simplify]: Simplify (* 1 1) into 1 0.913 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.913 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.913 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1.0)) into (- (log 1.0) (* 2 (log im))) 0.914 * [backup-simplify]: Simplify (+ (log re) (- (log 1.0) (* 2 (log im)))) into (- (+ (log 1.0) (log re)) (* 2 (log im))) 0.914 * [backup-simplify]: Simplify (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))) into (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))) 0.914 * [backup-simplify]: Simplify (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) 0.915 * [backup-simplify]: Simplify (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) 0.915 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.915 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.916 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.916 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.917 * [backup-simplify]: Simplify (+ 0 0) into 0 0.917 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.918 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.918 * [backup-simplify]: Simplify (- 0) into 0 0.918 * [backup-simplify]: Simplify (+ 0 0) into 0 0.919 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))) into 0 0.919 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 1.0 (/ 1 (pow im 2))) 1)))) 1) into 0 0.920 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 0.920 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (+ (log re) (log (/ 1.0 (pow im 2)))))) into 0 0.921 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.921 * [taylor]: Taking taylor expansion of 0 in im 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify 0 into 0 0.921 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.922 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 0.923 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0 0.923 * [backup-simplify]: Simplify (+ 0 0) into 0 0.924 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into 0 0.925 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.925 * [backup-simplify]: Simplify 0 into 0 0.925 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.925 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.926 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.926 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.927 * [backup-simplify]: Simplify (+ 0 0) into 0 0.928 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 (pow im 2)) 2) (+ (* 2 (* 0 0)))) (* 2 1)) into (/ -1/8 (pow im 4)) 0.928 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.929 * [backup-simplify]: Simplify (- 0) into 0 0.929 * [backup-simplify]: Simplify (+ (/ -1/8 (pow im 4)) 0) into (- (* 1/8 (/ 1 (pow im 4)))) 0.929 * [backup-simplify]: Simplify (+ (* 2.0 (- (* 1/8 (/ 1 (pow im 4))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0))))) into (- (* 0.25 (/ 1 (pow im 4)))) 0.930 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 1.0 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 0.25 (/ 1 (pow im 4))))) 1)) (pow (* 1.0 (/ 1 (pow im 2))) 1)))) 2) into (/ -0.25 (pow im 2)) 0.931 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 0.931 * [backup-simplify]: Simplify (+ (* 1/2 (/ -0.25 (pow im 2))) (+ (* 0 0) (* 0 (+ (log re) (log (/ 1.0 (pow im 2))))))) into (- (* 0.125 (/ 1 (pow im 2)))) 0.932 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (- (* 0.125 (/ 1 (pow im 2)))) 1) 1)))) into (* -0.125 (/ (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (pow im 2))) 0.932 * [taylor]: Taking taylor expansion of (* -0.125 (/ (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (pow im 2))) in im 0.932 * [taylor]: Taking taylor expansion of -0.125 in im 0.932 * [backup-simplify]: Simplify -0.125 into -0.125 0.932 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (pow im 2)) in im 0.932 * [taylor]: Taking taylor expansion of (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) in im 0.932 * [taylor]: Taking taylor expansion of (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2))))) in im 0.932 * [taylor]: Taking taylor expansion of 1/2 in im 0.932 * [backup-simplify]: Simplify 1/2 into 1/2 0.932 * [taylor]: Taking taylor expansion of (+ (log re) (log (/ 1.0 (pow im 2)))) in im 0.932 * [taylor]: Taking taylor expansion of (log re) in im 0.932 * [taylor]: Taking taylor expansion of re in im 0.932 * [backup-simplify]: Simplify re into re 0.932 * [backup-simplify]: Simplify (log re) into (log re) 0.932 * [taylor]: Taking taylor expansion of (log (/ 1.0 (pow im 2))) in im 0.932 * [taylor]: Taking taylor expansion of (/ 1.0 (pow im 2)) in im 0.932 * [taylor]: Taking taylor expansion of 1.0 in im 0.932 * [backup-simplify]: Simplify 1.0 into 1.0 0.932 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.932 * [taylor]: Taking taylor expansion of im in im 0.932 * [backup-simplify]: Simplify 0 into 0 0.932 * [backup-simplify]: Simplify 1 into 1 0.933 * [backup-simplify]: Simplify (* 1 1) into 1 0.933 * [backup-simplify]: Simplify (/ 1.0 1) into 1.0 0.933 * [backup-simplify]: Simplify (log 1.0) into (log 1.0) 0.934 * [backup-simplify]: Simplify (+ (* (- 2) (log im)) (log 1.0)) into (- (log 1.0) (* 2 (log im))) 0.934 * [backup-simplify]: Simplify (+ (log re) (- (log 1.0) (* 2 (log im)))) into (- (+ (log 1.0) (log re)) (* 2 (log im))) 0.934 * [backup-simplify]: Simplify (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))) into (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))) 0.935 * [backup-simplify]: Simplify (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) 0.935 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.935 * [taylor]: Taking taylor expansion of im in im 0.935 * [backup-simplify]: Simplify 0 into 0 0.935 * [backup-simplify]: Simplify 1 into 1 0.935 * [backup-simplify]: Simplify (* 1 1) into 1 0.935 * [backup-simplify]: Simplify (/ (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) 1) into (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) 0.936 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.936 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.937 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)))) into 0 0.938 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1.0 1)))) 1) into 0 0.938 * [backup-simplify]: Simplify (+ 0 0) into 0 0.938 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im))))) into 0 0.939 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.940 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.941 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.942 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into 0 0.942 * [backup-simplify]: Simplify (+ 0 0) into 0 0.943 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im)))))) into 0 0.944 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.945 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.945 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 1) 1)))) into 0 0.946 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.947 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (/ 0 1)))) into 0 0.948 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.949 * [backup-simplify]: Simplify (+ (* -0.125 0) (+ (* 0 0) (* 0 (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im)))))))) into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.949 * [backup-simplify]: Simplify 0 into 0 0.950 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 0.950 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.951 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1.0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.952 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1.0 1)))) 2) into 0 0.953 * [backup-simplify]: Simplify (+ 0 0) into 0 0.953 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (+ (log 1.0) (log re)) (* 2 (log im)))))) into 0 0.954 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (+ (log 1.0) (log re)) (* 2 (log im))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 0.954 * [backup-simplify]: Simplify 0 into 0 0.955 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.956 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.956 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))))) into 0 0.957 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.957 * [backup-simplify]: Simplify (+ 0 0) into 0 0.958 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow im 4)))) (* 2 (* (/ 1/2 (pow im 2)) 0)))) (* 2 1)) into 0 0.958 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.958 * [backup-simplify]: Simplify (- 0) into 0 0.958 * [backup-simplify]: Simplify (+ 0 0) into 0 0.959 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (- (* 1/8 (/ 1 (pow im 4))))) (+ (* 0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 0)))))) into 0 0.961 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 1.0 (/ 1 (pow im 2))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 0.25 (/ 1 (pow im 4))))) 1)) (pow (* 1.0 (/ 1 (pow im 2))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 1.0 (/ 1 (pow im 2))) 1)))) 6) into 0 0.962 * [backup-simplify]: Simplify (+ (* (- -1) (log re)) (log (/ 1.0 (pow im 2)))) into (+ (log re) (log (/ 1.0 (pow im 2)))) 0.962 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ -0.25 (pow im 2))) (+ (* 0 0) (* 0 (+ (log re) (log (/ 1.0 (pow im 2)))))))) into 0 0.964 * [backup-simplify]: Simplify (* (exp (* 1/2 (+ (log re) (log (/ 1.0 (pow im 2)))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (- (* 0.125 (/ 1 (pow im 2)))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 0.964 * [taylor]: Taking taylor expansion of 0 in im 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify 0 into 0 0.964 * [backup-simplify]: Simplify (exp (* 1/2 (- (+ (log 1.0) (log (/ 1 re))) (* 2 (log (/ 1 im)))))) into (exp (* 1/2 (- (+ (log (/ 1 re)) (log 1.0)) (* 2 (log (/ 1 im)))))) 0.965 * [backup-simplify]: Simplify (pow (* 2.0 (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) 1/2) into (pow (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) 1/2) 0.965 * [approximate]: Taking taylor expansion of (pow (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) 1/2) in (re im) around 0 0.965 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) 1/2) in im 0.965 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))) in im 0.965 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 0.965 * [taylor]: Taking taylor expansion of 1/2 in im 0.965 * [backup-simplify]: Simplify 1/2 into 1/2 0.965 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 0.965 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 0.965 * [taylor]: Taking taylor expansion of 2.0 in im 0.965 * [backup-simplify]: Simplify 2.0 into 2.0 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.965 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.965 * [taylor]: Taking taylor expansion of re in im 0.965 * [backup-simplify]: Simplify re into re 0.965 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.965 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.965 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.965 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.965 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.965 * [taylor]: Taking taylor expansion of im in im 0.965 * [backup-simplify]: Simplify 0 into 0 0.965 * [backup-simplify]: Simplify 1 into 1 0.965 * [backup-simplify]: Simplify (* 1 1) into 1 0.966 * [backup-simplify]: Simplify (/ 1 1) into 1 0.966 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.966 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.966 * [taylor]: Taking taylor expansion of re in im 0.966 * [backup-simplify]: Simplify re into re 0.966 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.966 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.966 * [backup-simplify]: Simplify (+ 1 0) into 1 0.966 * [backup-simplify]: Simplify (sqrt 1) into 1 0.967 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.967 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.967 * [backup-simplify]: Simplify (+ 0 0) into 0 0.968 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.968 * [backup-simplify]: Simplify (+ 0 1) into 1 0.968 * [backup-simplify]: Simplify (* 2.0 1) into 2.0 0.969 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 0.969 * [backup-simplify]: Simplify (+ (* (- 1) (log im)) (log 2.0)) into (- (log 2.0) (log im)) 0.969 * [backup-simplify]: Simplify (* 1/2 (- (log 2.0) (log im))) into (* 1/2 (- (log 2.0) (log im))) 0.970 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 2.0) (log im)))) into (exp (* 1/2 (- (log 2.0) (log im)))) 0.970 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) 1/2) in re 0.970 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))) in re 0.970 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.970 * [taylor]: Taking taylor expansion of 1/2 in re 0.970 * [backup-simplify]: Simplify 1/2 into 1/2 0.970 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.970 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.970 * [taylor]: Taking taylor expansion of 2.0 in re 0.970 * [backup-simplify]: Simplify 2.0 into 2.0 0.970 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.970 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.970 * [taylor]: Taking taylor expansion of re in re 0.970 * [backup-simplify]: Simplify 0 into 0 0.970 * [backup-simplify]: Simplify 1 into 1 0.970 * [backup-simplify]: Simplify (/ 1 1) into 1 0.970 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.970 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.970 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.970 * [taylor]: Taking taylor expansion of im in re 0.970 * [backup-simplify]: Simplify im into im 0.970 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.970 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.970 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.971 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.971 * [taylor]: Taking taylor expansion of re in re 0.971 * [backup-simplify]: Simplify 0 into 0 0.971 * [backup-simplify]: Simplify 1 into 1 0.971 * [backup-simplify]: Simplify (* 1 1) into 1 0.971 * [backup-simplify]: Simplify (/ 1 1) into 1 0.971 * [backup-simplify]: Simplify (+ 0 1) into 1 0.972 * [backup-simplify]: Simplify (sqrt 1) into 1 0.972 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.972 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.973 * [backup-simplify]: Simplify (+ 0 0) into 0 0.973 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.973 * [backup-simplify]: Simplify (+ 1 1) into 2 0.973 * [backup-simplify]: Simplify (* 2.0 2) into 4.0 0.974 * [backup-simplify]: Simplify (log 4.0) into (log 4.0) 0.974 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 0.974 * [backup-simplify]: Simplify (* 1/2 (- (log 4.0) (log re))) into (* 1/2 (- (log 4.0) (log re))) 0.975 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 0.975 * [taylor]: Taking taylor expansion of (pow (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) 1/2) in re 0.975 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))))) in re 0.975 * [taylor]: Taking taylor expansion of (* 1/2 (log (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 0.975 * [taylor]: Taking taylor expansion of 1/2 in re 0.975 * [backup-simplify]: Simplify 1/2 into 1/2 0.975 * [taylor]: Taking taylor expansion of (log (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 0.975 * [taylor]: Taking taylor expansion of (* 2.0 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 0.975 * [taylor]: Taking taylor expansion of 2.0 in re 0.975 * [backup-simplify]: Simplify 2.0 into 2.0 0.975 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.975 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.975 * [taylor]: Taking taylor expansion of re in re 0.975 * [backup-simplify]: Simplify 0 into 0 0.975 * [backup-simplify]: Simplify 1 into 1 0.975 * [backup-simplify]: Simplify (/ 1 1) into 1 0.975 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.975 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.975 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.975 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.975 * [taylor]: Taking taylor expansion of im in re 0.975 * [backup-simplify]: Simplify im into im 0.975 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.976 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.976 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.976 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.976 * [taylor]: Taking taylor expansion of re in re 0.976 * [backup-simplify]: Simplify 0 into 0 0.976 * [backup-simplify]: Simplify 1 into 1 0.976 * [backup-simplify]: Simplify (* 1 1) into 1 0.976 * [backup-simplify]: Simplify (/ 1 1) into 1 0.976 * [backup-simplify]: Simplify (+ 0 1) into 1 0.977 * [backup-simplify]: Simplify (sqrt 1) into 1 0.977 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.977 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.978 * [backup-simplify]: Simplify (+ 0 0) into 0 0.978 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.978 * [backup-simplify]: Simplify (+ 1 1) into 2 0.979 * [backup-simplify]: Simplify (* 2.0 2) into 4.0 0.979 * [backup-simplify]: Simplify (log 4.0) into (log 4.0) 0.979 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 0.980 * [backup-simplify]: Simplify (* 1/2 (- (log 4.0) (log re))) into (* 1/2 (- (log 4.0) (log re))) 0.980 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 0.980 * [taylor]: Taking taylor expansion of (exp (* 1/2 (- (log 4.0) (log re)))) in im 0.980 * [taylor]: Taking taylor expansion of (* 1/2 (- (log 4.0) (log re))) in im 0.980 * [taylor]: Taking taylor expansion of 1/2 in im 0.980 * [backup-simplify]: Simplify 1/2 into 1/2 0.980 * [taylor]: Taking taylor expansion of (- (log 4.0) (log re)) in im 0.980 * [taylor]: Taking taylor expansion of (log 4.0) in im 0.980 * [taylor]: Taking taylor expansion of 4.0 in im 0.980 * [backup-simplify]: Simplify 4.0 into 4.0 0.981 * [backup-simplify]: Simplify (log 4.0) into (log 4.0) 0.981 * [taylor]: Taking taylor expansion of (log re) in im 0.981 * [taylor]: Taking taylor expansion of re in im 0.981 * [backup-simplify]: Simplify re into re 0.981 * [backup-simplify]: Simplify (log re) into (log re) 0.981 * [backup-simplify]: Simplify (- (log re)) into (- (log re)) 0.981 * [backup-simplify]: Simplify (+ (log 4.0) (- (log re))) into (- (log 4.0) (log re)) 0.981 * [backup-simplify]: Simplify (* 1/2 (- (log 4.0) (log re))) into (* 1/2 (- (log 4.0) (log re))) 0.982 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 0.982 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 0.982 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.983 * [backup-simplify]: Simplify (+ 0 0) into 0 0.983 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 2)) into 0 0.986 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4.0 1)))) 1) into 0 0.987 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 0.988 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (log 4.0) (log re)))) into 0 0.988 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.988 * [taylor]: Taking taylor expansion of 0 in im 0.988 * [backup-simplify]: Simplify 0 into 0 0.988 * [backup-simplify]: Simplify 0 into 0 0.989 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4.0 1)))) 1) into 0 0.990 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 0.990 * [backup-simplify]: Simplify (- 0) into 0 0.990 * [backup-simplify]: Simplify (+ 0 0) into 0 0.991 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (log 4.0) (log re)))) into 0 0.991 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 0.991 * [backup-simplify]: Simplify 0 into 0 0.992 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.993 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.994 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.994 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.995 * [backup-simplify]: Simplify (+ (* 2.0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2))) into (* 1.0 (/ 1 (pow im 2))) 0.996 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4.0 2))) (* 1 (/ (* 1 (pow (* 2 (* 1.0 (/ 1 (pow im 2)))) 1)) (pow 4.0 1)))) 2) into (/ 0.25 (pow im 2)) 0.996 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 0.997 * [backup-simplify]: Simplify (+ (* 1/2 (/ 0.25 (pow im 2))) (+ (* 0 0) (* 0 (- (log 4.0) (log re))))) into (* 0.125 (/ 1 (pow im 2))) 0.998 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 0.125 (/ 1 (pow im 2))) 1) 1)))) into (* 0.125 (/ (exp (* 1/2 (- (log 4.0) (log re)))) (pow im 2))) 0.998 * [taylor]: Taking taylor expansion of (* 0.125 (/ (exp (* 1/2 (- (log 4.0) (log re)))) (pow im 2))) in im 0.998 * [taylor]: Taking taylor expansion of 0.125 in im 0.998 * [backup-simplify]: Simplify 0.125 into 0.125 0.998 * [taylor]: Taking taylor expansion of (/ (exp (* 1/2 (- (log 4.0) (log re)))) (pow im 2)) in im 0.998 * [taylor]: Taking taylor expansion of (exp (* 1/2 (- (log 4.0) (log re)))) in im 0.998 * [taylor]: Taking taylor expansion of (* 1/2 (- (log 4.0) (log re))) in im 0.998 * [taylor]: Taking taylor expansion of 1/2 in im 0.998 * [backup-simplify]: Simplify 1/2 into 1/2 0.998 * [taylor]: Taking taylor expansion of (- (log 4.0) (log re)) in im 0.998 * [taylor]: Taking taylor expansion of (log 4.0) in im 0.998 * [taylor]: Taking taylor expansion of 4.0 in im 0.998 * [backup-simplify]: Simplify 4.0 into 4.0 0.998 * [backup-simplify]: Simplify (log 4.0) into (log 4.0) 0.998 * [taylor]: Taking taylor expansion of (log re) in im 0.998 * [taylor]: Taking taylor expansion of re in im 0.998 * [backup-simplify]: Simplify re into re 0.998 * [backup-simplify]: Simplify (log re) into (log re) 0.999 * [backup-simplify]: Simplify (- (log re)) into (- (log re)) 0.999 * [backup-simplify]: Simplify (+ (log 4.0) (- (log re))) into (- (log 4.0) (log re)) 0.999 * [backup-simplify]: Simplify (* 1/2 (- (log 4.0) (log re))) into (* 1/2 (- (log 4.0) (log re))) 0.999 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log re)))) into (exp (* 1/2 (- (log 4.0) (log re)))) 0.999 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.999 * [taylor]: Taking taylor expansion of im in im 0.999 * [backup-simplify]: Simplify 0 into 0 0.999 * [backup-simplify]: Simplify 1 into 1 1.000 * [backup-simplify]: Simplify (* 1 1) into 1 1.000 * [backup-simplify]: Simplify (/ (exp (* 1/2 (- (log 4.0) (log re)))) 1) into (exp (* 1/2 (- (log 4.0) (log re)))) 1.001 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 4.0 1)))) 1) into 0 1.001 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow re 1)))) 1) into 0 1.002 * [backup-simplify]: Simplify (- 0) into 0 1.002 * [backup-simplify]: Simplify (+ 0 0) into 0 1.002 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (- (log 4.0) (log re)))) into 0 1.004 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4.0 1)))) 2) into 0 1.005 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.005 * [backup-simplify]: Simplify (- 0) into 0 1.005 * [backup-simplify]: Simplify (+ 0 0) into 0 1.006 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log 4.0) (log re))))) into 0 1.007 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.007 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.008 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 1) 1)))) into 0 1.009 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.009 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (- (log 4.0) (log re)))) (/ 0 1)))) into 0 1.010 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (exp (* 1/2 (- (log 4.0) (log re)))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.011 * [backup-simplify]: Simplify (+ (* 0.125 0) (+ (* 0 0) (* 0 (exp (* 1/2 (- (log 4.0) (log re))))))) into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.011 * [backup-simplify]: Simplify 0 into 0 1.013 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 4.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 4.0 1)))) 2) into 0 1.014 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow re 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow re 1)))) 2) into 0 1.014 * [backup-simplify]: Simplify (- 0) into 0 1.014 * [backup-simplify]: Simplify (+ 0 0) into 0 1.015 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (- (log 4.0) (log re))))) into 0 1.016 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 1.016 * [backup-simplify]: Simplify 0 into 0 1.017 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.017 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.017 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.017 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.018 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.018 * [backup-simplify]: Simplify (+ 0 0) into 0 1.019 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.019 * [backup-simplify]: Simplify (+ 0 0) into 0 1.020 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 (* 1/2 (/ 1 (pow im 2)))) (+ (* 0 0) (* 0 2)))) into 0 1.022 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 4.0 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1.0 (/ 1 (pow im 2)))) 1)) (pow 4.0 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 4.0 1)))) 6) into 0 1.023 * [backup-simplify]: Simplify (+ (* (- 1) (log re)) (log 4.0)) into (- (log 4.0) (log re)) 1.023 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 (/ 0.25 (pow im 2))) (+ (* 0 0) (* 0 (- (log 4.0) (log re)))))) into 0 1.025 * [backup-simplify]: Simplify (* (exp (* 1/2 (- (log 4.0) (log re)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 0.125 (/ 1 (pow im 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 1.025 * [taylor]: Taking taylor expansion of 0 in im 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify 0 into 0 1.025 * [backup-simplify]: Simplify (exp (* 1/2 (- (log 4.0) (log (/ 1 (- re)))))) into (exp (* 1/2 (- (log 4.0) (log (/ -1 re))))) 1.026 * * * [progress]: simplifying candidates 1.026 * [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 2.0) (log (- (sqrt (+ (* re re) (* im im))) re))) 1/2) (* (log (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 1/2) (* (log (* 2.0 (- (sqrt (+ (* re re) (* im im))) re))) 1/2) (* 1 1/2) (* 1 1/2) (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt 1/2) (cbrt 1/2))) (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (sqrt 1/2)) (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 1) (pow 2.0 1/2) (pow (- (sqrt (+ (* re re) (* im im))) re) 1/2) (log (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 1/2)) (exp (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 1/2)) (* (cbrt (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 1/2)) (cbrt (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 1/2))) (cbrt (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 1/2)) (* (* (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 1/2) (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 1/2)) (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 1/2)) (sqrt (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 1/2)) (sqrt (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) 1/2)) (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (/ 1/2 2)) (pow (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) (/ 1/2 2)) im re (* -1 re) (- im re) 0 (* -2 re) (- (exp (* 1/2 (+ (log 2.0) (log im)))) (+ (* +nan.0 (pow re 2)) (- (* +nan.0 re)))) (exp (* 1/2 (- (+ (log (/ 1 re)) (log 1.0)) (* 2 (log (/ 1 im)))))) (exp (* 1/2 (- (log 4.0) (log (/ -1 re))))) 1.027 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (exp h1)) (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (exp (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (cbrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (* (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (- (pow (sqrt (+ (* h1 h1) (* h0 h0))) 3) (pow h1 3)) (+ (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (+ (* h1 h1) (* (sqrt (+ (* h1 h1) (* h0 h0))) h1))) (- h1) (- (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (* h1 h1)) (+ (sqrt (+ (* h1 h1) (* h0 h0))) h1) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (+ (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt h1)) (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) (- h1) (* (+ (log h2) (log (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 1/2) (* (log (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 1/2) (* (log (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1))) 1/2) (* 1 1/2) (* 1 1/2) (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (* (cbrt 1/2) (cbrt 1/2))) (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (sqrt 1/2)) (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 1) (pow h2 1/2) (pow (- (sqrt (+ (* h1 h1) (* h0 h0))) h1) 1/2) (log (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 1/2)) (exp (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 1/2)) (* (cbrt (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 1/2)) (cbrt (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 1/2))) (cbrt (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 1/2)) (* (* (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 1/2) (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 1/2)) (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 1/2)) (sqrt (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 1/2)) (sqrt (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) 1/2)) (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1/2 2)) (pow (* h2 (- (sqrt (+ (* h1 h1) (* h0 h0))) h1)) (/ 1/2 2)) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) (- (exp (* 1/2 (+ (log h2) (log h0)))) (+ (* h3 (pow h1 2)) (- (* h3 h1)))) (exp (* 1/2 (- (+ (log (/ 1 h1)) (log h4)) (* 2 (log (/ 1 h0)))))) (exp (* 1/2 (- (log h5) (log (/ -1 h1))))) 1.030 * * [simplify]: iteration 0 : 264 enodes (cost 396 ) 1.035 * * [simplify]: iteration 1 : 839 enodes (cost 375 ) 1.049 * * [simplify]: iteration 2 : 3043 enodes (cost 368 ) 1.105 * * [simplify]: iteration 3 : 5001 enodes (cost 366 ) 1.107 * * * [progress]: adding candidates to table 1.249 * * [progress]: iteration 3 / 4 1.249 * * * [progress]: picking best candidate 1.268 * * * * [pick]: Picked # 1.268 * * * [progress]: localizing error 1.290 * * * [progress]: generating rewritten candidates 1.290 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 2 1) 1.299 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 2 1) 1.307 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 1.315 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 1.431 * * * [progress]: generating series expansions 1.431 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 2 1) 1.431 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.431 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.431 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.431 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.431 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.431 * [taylor]: Taking taylor expansion of re in im 1.432 * [backup-simplify]: Simplify re into re 1.432 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.432 * [taylor]: Taking taylor expansion of im in im 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 1 into 1 1.432 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.432 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.432 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.432 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.432 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.433 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.433 * [taylor]: Taking taylor expansion of re in re 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.433 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.433 * [taylor]: Taking taylor expansion of im in re 1.433 * [backup-simplify]: Simplify im into im 1.433 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.433 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.433 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.433 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.433 * [backup-simplify]: Simplify (+ 0 0) into 0 1.433 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.433 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.433 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.433 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.433 * [taylor]: Taking taylor expansion of re in re 1.433 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify 1 into 1 1.433 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.433 * [taylor]: Taking taylor expansion of im in re 1.433 * [backup-simplify]: Simplify im into im 1.433 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.434 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.434 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.434 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.434 * [backup-simplify]: Simplify (+ 0 0) into 0 1.434 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.434 * [taylor]: Taking taylor expansion of im in im 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [taylor]: Taking taylor expansion of 0 in im 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.435 * [backup-simplify]: Simplify (* 1 1) into 1 1.435 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.435 * [backup-simplify]: Simplify (+ 1 0) into 1 1.436 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.436 * [taylor]: Taking taylor expansion of (/ 1/2 im) 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 im in im 1.436 * [backup-simplify]: Simplify 0 into 0 1.436 * [backup-simplify]: Simplify 1 into 1 1.436 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 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 (+ (* 1 0) (* 0 1)) into 0 1.438 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.438 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.438 * [taylor]: Taking taylor expansion of 0 in im 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify 0 into 0 1.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.439 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.439 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.439 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.439 * [taylor]: Taking taylor expansion of im in im 1.439 * [backup-simplify]: Simplify 0 into 0 1.439 * [backup-simplify]: Simplify 1 into 1 1.439 * [backup-simplify]: Simplify (* 1 1) into 1 1.439 * [backup-simplify]: Simplify (/ 1 1) into 1 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.439 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.439 * [taylor]: Taking taylor expansion of re in im 1.439 * [backup-simplify]: Simplify re into re 1.440 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.440 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.440 * [backup-simplify]: Simplify (+ 1 0) into 1 1.440 * [backup-simplify]: Simplify (sqrt 1) into 1 1.441 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.441 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.441 * [backup-simplify]: Simplify (+ 0 0) into 0 1.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.442 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.442 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.442 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.442 * [taylor]: Taking taylor expansion of im in re 1.442 * [backup-simplify]: Simplify im into im 1.442 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.442 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.442 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.442 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.442 * [taylor]: Taking taylor expansion of re in re 1.442 * [backup-simplify]: Simplify 0 into 0 1.442 * [backup-simplify]: Simplify 1 into 1 1.442 * [backup-simplify]: Simplify (* 1 1) into 1 1.442 * [backup-simplify]: Simplify (/ 1 1) into 1 1.443 * [backup-simplify]: Simplify (+ 0 1) into 1 1.443 * [backup-simplify]: Simplify (sqrt 1) into 1 1.443 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.444 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.444 * [backup-simplify]: Simplify (+ 0 0) into 0 1.444 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.444 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.444 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.444 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.445 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.445 * [taylor]: Taking taylor expansion of im in re 1.445 * [backup-simplify]: Simplify im into im 1.445 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.445 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.445 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.445 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.445 * [taylor]: Taking taylor expansion of re in re 1.445 * [backup-simplify]: Simplify 0 into 0 1.445 * [backup-simplify]: Simplify 1 into 1 1.445 * [backup-simplify]: Simplify (* 1 1) into 1 1.445 * [backup-simplify]: Simplify (/ 1 1) into 1 1.446 * [backup-simplify]: Simplify (+ 0 1) into 1 1.446 * [backup-simplify]: Simplify (sqrt 1) into 1 1.446 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.447 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.447 * [backup-simplify]: Simplify (+ 0 0) into 0 1.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.447 * [taylor]: Taking taylor expansion of 1 in im 1.447 * [backup-simplify]: Simplify 1 into 1 1.447 * [taylor]: Taking taylor expansion of 0 in im 1.447 * [backup-simplify]: Simplify 0 into 0 1.447 * [backup-simplify]: Simplify 1 into 1 1.448 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.448 * [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)) 1.449 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.449 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.449 * [taylor]: Taking taylor expansion of 1/2 in im 1.449 * [backup-simplify]: Simplify 1/2 into 1/2 1.449 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.449 * [taylor]: Taking taylor expansion of im in im 1.449 * [backup-simplify]: Simplify 0 into 0 1.449 * [backup-simplify]: Simplify 1 into 1 1.450 * [backup-simplify]: Simplify (* 1 1) into 1 1.450 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.450 * [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 1.451 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.451 * [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 1.452 * [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 1.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.454 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.454 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.454 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.454 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.454 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.454 * [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 (* 1 1) into 1 1.455 * [backup-simplify]: Simplify (/ 1 1) into 1 1.455 * [taylor]: Taking taylor expansion of (/ 1 (pow re 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 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.455 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.456 * [backup-simplify]: Simplify (+ 1 0) into 1 1.456 * [backup-simplify]: Simplify (sqrt 1) into 1 1.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.457 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.457 * [backup-simplify]: Simplify (+ 0 0) into 0 1.457 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.457 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.457 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 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 (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.457 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.458 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.458 * [taylor]: Taking taylor expansion of re in re 1.458 * [backup-simplify]: Simplify 0 into 0 1.458 * [backup-simplify]: Simplify 1 into 1 1.458 * [backup-simplify]: Simplify (* 1 1) into 1 1.458 * [backup-simplify]: Simplify (/ 1 1) into 1 1.458 * [backup-simplify]: Simplify (+ 0 1) into 1 1.458 * [backup-simplify]: Simplify (sqrt 1) into 1 1.459 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.460 * [backup-simplify]: Simplify (+ 0 0) into 0 1.460 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.460 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.460 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.460 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.460 * [taylor]: Taking taylor expansion of im in re 1.460 * [backup-simplify]: Simplify im into im 1.460 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.460 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.460 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.460 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.460 * [taylor]: Taking taylor expansion of re in re 1.460 * [backup-simplify]: Simplify 0 into 0 1.460 * [backup-simplify]: Simplify 1 into 1 1.461 * [backup-simplify]: Simplify (* 1 1) into 1 1.461 * [backup-simplify]: Simplify (/ 1 1) into 1 1.461 * [backup-simplify]: Simplify (+ 0 1) into 1 1.461 * [backup-simplify]: Simplify (sqrt 1) into 1 1.462 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.462 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.463 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.463 * [taylor]: Taking taylor expansion of 1 in im 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [taylor]: Taking taylor expansion of 0 in im 1.463 * [backup-simplify]: Simplify 0 into 0 1.463 * [backup-simplify]: Simplify 1 into 1 1.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.464 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.464 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.465 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.465 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.465 * [taylor]: Taking taylor expansion of 1/2 in im 1.465 * [backup-simplify]: Simplify 1/2 into 1/2 1.465 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.465 * [taylor]: Taking taylor expansion of im in im 1.465 * [backup-simplify]: Simplify 0 into 0 1.465 * [backup-simplify]: Simplify 1 into 1 1.465 * [backup-simplify]: Simplify (* 1 1) into 1 1.466 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.466 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify 0 into 0 1.467 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.467 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.468 * [backup-simplify]: Simplify (+ 0 0) into 0 1.469 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.469 * [taylor]: Taking taylor expansion of 0 in im 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.470 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.470 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 2 1) 1.470 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.470 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.470 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.470 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.470 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.470 * [taylor]: Taking taylor expansion of re in im 1.470 * [backup-simplify]: Simplify re into re 1.470 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.470 * [taylor]: Taking taylor expansion of im in im 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.470 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.471 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.471 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.471 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.471 * [backup-simplify]: Simplify (+ 0 0) into 0 1.471 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.471 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.471 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.471 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.471 * [taylor]: Taking taylor expansion of re in re 1.471 * [backup-simplify]: Simplify 0 into 0 1.471 * [backup-simplify]: Simplify 1 into 1 1.471 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.471 * [taylor]: Taking taylor expansion of im in re 1.471 * [backup-simplify]: Simplify im into im 1.471 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.471 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.471 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.472 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.472 * [backup-simplify]: Simplify (+ 0 0) into 0 1.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.472 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.472 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.472 * [taylor]: Taking taylor expansion of (pow re 2) 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 1.472 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.472 * [taylor]: Taking taylor expansion of im in re 1.472 * [backup-simplify]: Simplify im into im 1.472 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.472 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.472 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.472 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.473 * [backup-simplify]: Simplify (+ 0 0) into 0 1.473 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.473 * [taylor]: Taking taylor expansion of im in im 1.473 * [backup-simplify]: Simplify 0 into 0 1.473 * [backup-simplify]: Simplify 1 into 1 1.473 * [backup-simplify]: Simplify 0 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 0 into 0 1.473 * [backup-simplify]: Simplify 1 into 1 1.473 * [backup-simplify]: Simplify (* 1 1) into 1 1.473 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.474 * [backup-simplify]: Simplify (+ 1 0) into 1 1.474 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.474 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.474 * [taylor]: Taking taylor expansion of 1/2 in im 1.474 * [backup-simplify]: Simplify 1/2 into 1/2 1.474 * [taylor]: Taking taylor expansion of im in im 1.474 * [backup-simplify]: Simplify 0 into 0 1.474 * [backup-simplify]: Simplify 1 into 1 1.474 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.475 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify 0 into 0 1.475 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.476 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.476 * [backup-simplify]: Simplify (+ 0 0) into 0 1.476 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.476 * [taylor]: Taking taylor expansion of 0 in im 1.476 * [backup-simplify]: Simplify 0 into 0 1.476 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.477 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.477 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.477 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.477 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 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 1.478 * [backup-simplify]: Simplify (* 1 1) into 1 1.478 * [backup-simplify]: Simplify (/ 1 1) into 1 1.478 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.478 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.478 * [taylor]: Taking taylor expansion of re in im 1.478 * [backup-simplify]: Simplify re into re 1.478 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.478 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.478 * [backup-simplify]: Simplify (+ 1 0) into 1 1.478 * [backup-simplify]: Simplify (sqrt 1) into 1 1.479 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.479 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.480 * [backup-simplify]: Simplify (+ 0 0) into 0 1.480 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.480 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.480 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.480 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.480 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.480 * [taylor]: Taking taylor expansion of im in re 1.480 * [backup-simplify]: Simplify im into im 1.480 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.480 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.480 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.480 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.480 * [taylor]: Taking taylor expansion of re in re 1.480 * [backup-simplify]: Simplify 0 into 0 1.480 * [backup-simplify]: Simplify 1 into 1 1.481 * [backup-simplify]: Simplify (* 1 1) into 1 1.481 * [backup-simplify]: Simplify (/ 1 1) into 1 1.481 * [backup-simplify]: Simplify (+ 0 1) into 1 1.481 * [backup-simplify]: Simplify (sqrt 1) into 1 1.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.482 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.482 * [backup-simplify]: Simplify (+ 0 0) into 0 1.483 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.483 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.483 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.483 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.483 * [taylor]: Taking taylor expansion of im in re 1.483 * [backup-simplify]: Simplify im into im 1.483 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.483 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.483 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.483 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.483 * [taylor]: Taking taylor expansion of re in re 1.483 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify 1 into 1 1.483 * [backup-simplify]: Simplify (* 1 1) into 1 1.484 * [backup-simplify]: Simplify (/ 1 1) into 1 1.484 * [backup-simplify]: Simplify (+ 0 1) into 1 1.484 * [backup-simplify]: Simplify (sqrt 1) into 1 1.484 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.485 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.485 * [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 in im 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [taylor]: Taking taylor expansion of 0 in im 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.487 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.487 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.488 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.488 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.488 * [taylor]: Taking taylor expansion of 1/2 in im 1.488 * [backup-simplify]: Simplify 1/2 into 1/2 1.488 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.488 * [taylor]: Taking taylor expansion of im in im 1.488 * [backup-simplify]: Simplify 0 into 0 1.488 * [backup-simplify]: Simplify 1 into 1 1.488 * [backup-simplify]: Simplify (* 1 1) into 1 1.488 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.489 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.489 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.489 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.490 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.491 * [backup-simplify]: Simplify (+ 0 0) into 0 1.491 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.491 * [taylor]: Taking taylor expansion of 0 in im 1.491 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.492 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.493 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.493 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.493 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.493 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.493 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.493 * [taylor]: Taking taylor expansion of im in im 1.493 * [backup-simplify]: Simplify 0 into 0 1.493 * [backup-simplify]: Simplify 1 into 1 1.493 * [backup-simplify]: Simplify (* 1 1) into 1 1.493 * [backup-simplify]: Simplify (/ 1 1) into 1 1.493 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.493 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.493 * [taylor]: Taking taylor expansion of re in im 1.493 * [backup-simplify]: Simplify re into re 1.493 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.494 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.494 * [backup-simplify]: Simplify (+ 1 0) into 1 1.494 * [backup-simplify]: Simplify (sqrt 1) into 1 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.495 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.496 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.496 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.496 * [taylor]: Taking taylor expansion of im in re 1.496 * [backup-simplify]: Simplify im into im 1.496 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.496 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.496 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.496 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.496 * [taylor]: Taking taylor expansion of re in re 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 1 into 1 1.496 * [backup-simplify]: Simplify (* 1 1) into 1 1.496 * [backup-simplify]: Simplify (/ 1 1) into 1 1.497 * [backup-simplify]: Simplify (+ 0 1) into 1 1.497 * [backup-simplify]: Simplify (sqrt 1) into 1 1.497 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.498 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.498 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.498 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.498 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.498 * [taylor]: Taking taylor expansion of im in re 1.498 * [backup-simplify]: Simplify im into im 1.498 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.499 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.499 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.499 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.499 * [taylor]: Taking taylor expansion of re in re 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 1 into 1 1.499 * [backup-simplify]: Simplify (* 1 1) into 1 1.499 * [backup-simplify]: Simplify (/ 1 1) into 1 1.499 * [backup-simplify]: Simplify (+ 0 1) into 1 1.500 * [backup-simplify]: Simplify (sqrt 1) into 1 1.502 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.503 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.503 * [backup-simplify]: Simplify (+ 0 0) into 0 1.504 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.504 * [taylor]: Taking taylor expansion of 1 in im 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [taylor]: Taking taylor expansion of 0 in im 1.504 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify 1 into 1 1.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.505 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.505 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.506 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.506 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.506 * [taylor]: Taking taylor expansion of 1/2 in im 1.506 * [backup-simplify]: Simplify 1/2 into 1/2 1.506 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.506 * [taylor]: Taking taylor expansion of im in im 1.506 * [backup-simplify]: Simplify 0 into 0 1.506 * [backup-simplify]: Simplify 1 into 1 1.506 * [backup-simplify]: Simplify (* 1 1) into 1 1.507 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.507 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.508 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.509 * [backup-simplify]: Simplify (+ 0 0) into 0 1.510 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.510 * [taylor]: Taking taylor expansion of 0 in im 1.510 * [backup-simplify]: Simplify 0 into 0 1.510 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.511 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.511 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1) 1.511 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.511 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.511 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.511 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.511 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.511 * [taylor]: Taking taylor expansion of re in im 1.511 * [backup-simplify]: Simplify re into re 1.511 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.511 * [taylor]: Taking taylor expansion of im in im 1.511 * [backup-simplify]: Simplify 0 into 0 1.511 * [backup-simplify]: Simplify 1 into 1 1.511 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.511 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.512 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.512 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.512 * [backup-simplify]: Simplify (+ 0 0) into 0 1.512 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.512 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.512 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.512 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.512 * [taylor]: Taking taylor expansion of re in re 1.512 * [backup-simplify]: Simplify 0 into 0 1.512 * [backup-simplify]: Simplify 1 into 1 1.512 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.512 * [taylor]: Taking taylor expansion of im in re 1.512 * [backup-simplify]: Simplify im into im 1.512 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.512 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.512 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.512 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.513 * [backup-simplify]: Simplify (+ 0 0) into 0 1.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.513 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.513 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.513 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.513 * [taylor]: Taking taylor expansion of re in re 1.513 * [backup-simplify]: Simplify 0 into 0 1.513 * [backup-simplify]: Simplify 1 into 1 1.513 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.513 * [taylor]: Taking taylor expansion of im in re 1.513 * [backup-simplify]: Simplify im into im 1.513 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.513 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.513 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.513 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.513 * [backup-simplify]: Simplify (+ 0 0) into 0 1.513 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.514 * [taylor]: Taking taylor expansion of im in im 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [taylor]: Taking taylor expansion of 0 in im 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 0 into 0 1.514 * [backup-simplify]: Simplify 1 into 1 1.514 * [backup-simplify]: Simplify (* 1 1) into 1 1.514 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.514 * [backup-simplify]: Simplify (+ 1 0) into 1 1.515 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.515 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.515 * [taylor]: Taking taylor expansion of 1/2 in im 1.515 * [backup-simplify]: Simplify 1/2 into 1/2 1.515 * [taylor]: Taking taylor expansion of im in im 1.515 * [backup-simplify]: Simplify 0 into 0 1.515 * [backup-simplify]: Simplify 1 into 1 1.515 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.516 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify 0 into 0 1.516 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.517 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.517 * [backup-simplify]: Simplify (+ 0 0) into 0 1.517 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.517 * [taylor]: Taking taylor expansion of 0 in im 1.517 * [backup-simplify]: Simplify 0 into 0 1.517 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.518 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.518 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.518 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.518 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.518 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.518 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.518 * [taylor]: Taking taylor expansion of im in im 1.518 * [backup-simplify]: Simplify 0 into 0 1.518 * [backup-simplify]: Simplify 1 into 1 1.519 * [backup-simplify]: Simplify (* 1 1) into 1 1.519 * [backup-simplify]: Simplify (/ 1 1) into 1 1.519 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.519 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.519 * [taylor]: Taking taylor expansion of re in im 1.519 * [backup-simplify]: Simplify re into re 1.519 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.519 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.519 * [backup-simplify]: Simplify (+ 1 0) into 1 1.520 * [backup-simplify]: Simplify (sqrt 1) into 1 1.520 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.520 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.521 * [backup-simplify]: Simplify (+ 0 0) into 0 1.521 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.521 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.521 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.521 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.521 * [taylor]: Taking taylor expansion of im in re 1.521 * [backup-simplify]: Simplify im into im 1.521 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.521 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.521 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.521 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.521 * [taylor]: Taking taylor expansion of re in re 1.521 * [backup-simplify]: Simplify 0 into 0 1.521 * [backup-simplify]: Simplify 1 into 1 1.522 * [backup-simplify]: Simplify (* 1 1) into 1 1.522 * [backup-simplify]: Simplify (/ 1 1) into 1 1.522 * [backup-simplify]: Simplify (+ 0 1) into 1 1.522 * [backup-simplify]: Simplify (sqrt 1) into 1 1.523 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.523 * [backup-simplify]: Simplify (+ 0 0) into 0 1.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.524 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.524 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.524 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.524 * [taylor]: Taking taylor expansion of im in re 1.524 * [backup-simplify]: Simplify im into im 1.524 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.524 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.524 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.524 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.524 * [taylor]: Taking taylor expansion of re in re 1.524 * [backup-simplify]: Simplify 0 into 0 1.524 * [backup-simplify]: Simplify 1 into 1 1.524 * [backup-simplify]: Simplify (* 1 1) into 1 1.525 * [backup-simplify]: Simplify (/ 1 1) into 1 1.525 * [backup-simplify]: Simplify (+ 0 1) into 1 1.525 * [backup-simplify]: Simplify (sqrt 1) into 1 1.525 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.526 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.526 * [backup-simplify]: Simplify (+ 0 0) into 0 1.526 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.527 * [taylor]: Taking taylor expansion of 1 in im 1.527 * [backup-simplify]: Simplify 1 into 1 1.527 * [taylor]: Taking taylor expansion of 0 in im 1.527 * [backup-simplify]: Simplify 0 into 0 1.527 * [backup-simplify]: Simplify 1 into 1 1.527 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.528 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.528 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.529 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.529 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.529 * [taylor]: Taking taylor expansion of 1/2 in im 1.529 * [backup-simplify]: Simplify 1/2 into 1/2 1.529 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.529 * [taylor]: Taking taylor expansion of im in im 1.529 * [backup-simplify]: Simplify 0 into 0 1.529 * [backup-simplify]: Simplify 1 into 1 1.529 * [backup-simplify]: Simplify (* 1 1) into 1 1.529 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.530 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.530 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify 0 into 0 1.530 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.531 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.531 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.532 * [backup-simplify]: Simplify (+ 0 0) into 0 1.532 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.532 * [taylor]: Taking taylor expansion of 0 in im 1.532 * [backup-simplify]: Simplify 0 into 0 1.533 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.533 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.534 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.534 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.534 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.534 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.534 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.534 * [taylor]: Taking taylor expansion of im in im 1.534 * [backup-simplify]: Simplify 0 into 0 1.534 * [backup-simplify]: Simplify 1 into 1 1.534 * [backup-simplify]: Simplify (* 1 1) into 1 1.534 * [backup-simplify]: Simplify (/ 1 1) into 1 1.534 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.535 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.535 * [taylor]: Taking taylor expansion of re in im 1.535 * [backup-simplify]: Simplify re into re 1.535 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.535 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.535 * [backup-simplify]: Simplify (+ 1 0) into 1 1.535 * [backup-simplify]: Simplify (sqrt 1) into 1 1.536 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.536 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.536 * [backup-simplify]: Simplify (+ 0 0) into 0 1.537 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.537 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.537 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.537 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.537 * [taylor]: Taking taylor expansion of im in re 1.537 * [backup-simplify]: Simplify im into im 1.537 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.537 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.537 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.537 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.537 * [taylor]: Taking taylor expansion of re in re 1.537 * [backup-simplify]: Simplify 0 into 0 1.537 * [backup-simplify]: Simplify 1 into 1 1.537 * [backup-simplify]: Simplify (* 1 1) into 1 1.537 * [backup-simplify]: Simplify (/ 1 1) into 1 1.538 * [backup-simplify]: Simplify (+ 0 1) into 1 1.538 * [backup-simplify]: Simplify (sqrt 1) into 1 1.538 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.539 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.539 * [backup-simplify]: Simplify (+ 0 0) into 0 1.539 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.539 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.539 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.539 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.539 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.539 * [taylor]: Taking taylor expansion of im in re 1.539 * [backup-simplify]: Simplify im into im 1.540 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.540 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.540 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.540 * [taylor]: Taking taylor expansion of re in re 1.540 * [backup-simplify]: Simplify 0 into 0 1.540 * [backup-simplify]: Simplify 1 into 1 1.540 * [backup-simplify]: Simplify (* 1 1) into 1 1.540 * [backup-simplify]: Simplify (/ 1 1) into 1 1.540 * [backup-simplify]: Simplify (+ 0 1) into 1 1.541 * [backup-simplify]: Simplify (sqrt 1) into 1 1.541 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.542 * [backup-simplify]: Simplify (+ 0 0) into 0 1.542 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.542 * [taylor]: Taking taylor expansion of 1 in im 1.542 * [backup-simplify]: Simplify 1 into 1 1.542 * [taylor]: Taking taylor expansion of 0 in im 1.542 * [backup-simplify]: Simplify 0 into 0 1.542 * [backup-simplify]: Simplify 1 into 1 1.543 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.543 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.543 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.544 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.544 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.544 * [taylor]: Taking taylor expansion of 1/2 in im 1.544 * [backup-simplify]: Simplify 1/2 into 1/2 1.544 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.544 * [taylor]: Taking taylor expansion of im in im 1.544 * [backup-simplify]: Simplify 0 into 0 1.544 * [backup-simplify]: Simplify 1 into 1 1.545 * [backup-simplify]: Simplify (* 1 1) into 1 1.545 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.545 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.546 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify 0 into 0 1.546 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.546 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.547 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.547 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.547 * [backup-simplify]: Simplify (+ 0 0) into 0 1.548 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.548 * [taylor]: Taking taylor expansion of 0 in im 1.548 * [backup-simplify]: Simplify 0 into 0 1.548 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.549 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify 0 into 0 1.549 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.549 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 1.550 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 1.550 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 1.550 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 1.550 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.550 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.550 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.550 * [taylor]: Taking taylor expansion of re in im 1.550 * [backup-simplify]: Simplify re into re 1.550 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.550 * [taylor]: Taking taylor expansion of im in im 1.550 * [backup-simplify]: Simplify 0 into 0 1.550 * [backup-simplify]: Simplify 1 into 1 1.550 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.550 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.550 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.550 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.550 * [backup-simplify]: Simplify (+ 0 0) into 0 1.550 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.550 * [taylor]: Taking taylor expansion of re in im 1.550 * [backup-simplify]: Simplify re into re 1.550 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.550 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.551 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.551 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.551 * [taylor]: Taking taylor expansion of re in re 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.551 * [taylor]: Taking taylor expansion of im in re 1.551 * [backup-simplify]: Simplify im into im 1.551 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.551 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.551 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.551 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.551 * [backup-simplify]: Simplify (+ 0 0) into 0 1.551 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.551 * [taylor]: Taking taylor expansion of re in re 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 1.551 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.551 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.551 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.551 * [taylor]: Taking taylor expansion of re in re 1.551 * [backup-simplify]: Simplify 0 into 0 1.551 * [backup-simplify]: Simplify 1 into 1 1.551 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.551 * [taylor]: Taking taylor expansion of im in re 1.551 * [backup-simplify]: Simplify im into im 1.551 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.552 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.552 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.552 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.552 * [backup-simplify]: Simplify (+ 0 0) into 0 1.552 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.552 * [taylor]: Taking taylor expansion of re in re 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify (- 0) into 0 1.552 * [backup-simplify]: Simplify (+ im 0) into im 1.552 * [taylor]: Taking taylor expansion of im in im 1.552 * [backup-simplify]: Simplify 0 into 0 1.552 * [backup-simplify]: Simplify 1 into 1 1.552 * [backup-simplify]: Simplify 0 into 0 1.553 * [backup-simplify]: Simplify (- 1) into -1 1.553 * [backup-simplify]: Simplify (+ 0 -1) into -1 1.553 * [taylor]: Taking taylor expansion of -1 in im 1.553 * [backup-simplify]: Simplify -1 into -1 1.553 * [backup-simplify]: Simplify -1 into -1 1.553 * [backup-simplify]: Simplify 1 into 1 1.553 * [backup-simplify]: Simplify (* 1 1) into 1 1.554 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.554 * [backup-simplify]: Simplify (+ 1 0) into 1 1.554 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.555 * [backup-simplify]: Simplify (- 0) into 0 1.555 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 1.555 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.555 * [taylor]: Taking taylor expansion of 1/2 in im 1.555 * [backup-simplify]: Simplify 1/2 into 1/2 1.555 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.555 * [taylor]: Taking taylor expansion of im in im 1.555 * [backup-simplify]: Simplify 0 into 0 1.555 * [backup-simplify]: Simplify 1 into 1 1.555 * [backup-simplify]: Simplify (/ 1 1) into 1 1.555 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.556 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify 0 into 0 1.556 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.557 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.557 * [backup-simplify]: Simplify (+ 0 0) into 0 1.557 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.557 * [backup-simplify]: Simplify (- 0) into 0 1.558 * [backup-simplify]: Simplify (+ 0 0) into 0 1.558 * [taylor]: Taking taylor expansion of 0 in im 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify 0 into 0 1.558 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.559 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify 0 into 0 1.559 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 1.559 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1.559 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.559 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.559 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.559 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.559 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.560 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.560 * [taylor]: Taking taylor expansion of im in im 1.560 * [backup-simplify]: Simplify 0 into 0 1.560 * [backup-simplify]: Simplify 1 into 1 1.560 * [backup-simplify]: Simplify (* 1 1) into 1 1.560 * [backup-simplify]: Simplify (/ 1 1) into 1 1.560 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.560 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.560 * [taylor]: Taking taylor expansion of re in im 1.560 * [backup-simplify]: Simplify re into re 1.560 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.560 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.561 * [backup-simplify]: Simplify (+ 1 0) into 1 1.561 * [backup-simplify]: Simplify (sqrt 1) into 1 1.561 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.562 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.562 * [backup-simplify]: Simplify (+ 0 0) into 0 1.562 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.562 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.562 * [taylor]: Taking taylor expansion of re in im 1.562 * [backup-simplify]: Simplify re into re 1.562 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.562 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.562 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.562 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.562 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.562 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.562 * [taylor]: Taking taylor expansion of im in re 1.562 * [backup-simplify]: Simplify im into im 1.562 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.563 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.563 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.563 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.563 * [taylor]: Taking taylor expansion of re in re 1.563 * [backup-simplify]: Simplify 0 into 0 1.563 * [backup-simplify]: Simplify 1 into 1 1.563 * [backup-simplify]: Simplify (* 1 1) into 1 1.563 * [backup-simplify]: Simplify (/ 1 1) into 1 1.563 * [backup-simplify]: Simplify (+ 0 1) into 1 1.564 * [backup-simplify]: Simplify (sqrt 1) into 1 1.564 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.564 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.565 * [backup-simplify]: Simplify (+ 0 0) into 0 1.565 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.565 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.565 * [taylor]: Taking taylor expansion of re in re 1.565 * [backup-simplify]: Simplify 0 into 0 1.565 * [backup-simplify]: Simplify 1 into 1 1.565 * [backup-simplify]: Simplify (/ 1 1) into 1 1.565 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.565 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.565 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.565 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.565 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.565 * [taylor]: Taking taylor expansion of im in re 1.566 * [backup-simplify]: Simplify im into im 1.566 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.566 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.566 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.566 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.566 * [taylor]: Taking taylor expansion of re in re 1.566 * [backup-simplify]: Simplify 0 into 0 1.566 * [backup-simplify]: Simplify 1 into 1 1.566 * [backup-simplify]: Simplify (* 1 1) into 1 1.566 * [backup-simplify]: Simplify (/ 1 1) into 1 1.566 * [backup-simplify]: Simplify (+ 0 1) into 1 1.567 * [backup-simplify]: Simplify (sqrt 1) into 1 1.567 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.568 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.568 * [backup-simplify]: Simplify (+ 0 0) into 0 1.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.568 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.568 * [taylor]: Taking taylor expansion of re in re 1.568 * [backup-simplify]: Simplify 0 into 0 1.568 * [backup-simplify]: Simplify 1 into 1 1.569 * [backup-simplify]: Simplify (/ 1 1) into 1 1.569 * [backup-simplify]: Simplify (- 1) into -1 1.569 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.569 * [taylor]: Taking taylor expansion of 0 in im 1.569 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.570 * [backup-simplify]: Simplify (- 0) into 0 1.570 * [backup-simplify]: Simplify (+ 0 0) into 0 1.570 * [taylor]: Taking taylor expansion of 0 in im 1.570 * [backup-simplify]: Simplify 0 into 0 1.570 * [backup-simplify]: Simplify 0 into 0 1.571 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.571 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.571 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.572 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.573 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.573 * [backup-simplify]: Simplify (- 0) into 0 1.573 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.573 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.573 * [taylor]: Taking taylor expansion of 1/2 in im 1.573 * [backup-simplify]: Simplify 1/2 into 1/2 1.573 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.573 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.573 * [taylor]: Taking taylor expansion of im in im 1.573 * [backup-simplify]: Simplify 0 into 0 1.573 * [backup-simplify]: Simplify 1 into 1 1.573 * [backup-simplify]: Simplify (* 1 1) into 1 1.574 * [backup-simplify]: Simplify (/ 1 1) into 1 1.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.574 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.575 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify 0 into 0 1.575 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.575 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.576 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.576 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.577 * [backup-simplify]: Simplify (+ 0 0) into 0 1.577 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.577 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.578 * [backup-simplify]: Simplify (- 0) into 0 1.578 * [backup-simplify]: Simplify (+ 0 0) into 0 1.578 * [taylor]: Taking taylor expansion of 0 in im 1.578 * [backup-simplify]: Simplify 0 into 0 1.578 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.579 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.580 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify 0 into 0 1.580 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1.580 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.580 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.580 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.580 * [taylor]: Taking taylor expansion of re in im 1.580 * [backup-simplify]: Simplify re into re 1.581 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.581 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.581 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.581 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.581 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.581 * [taylor]: Taking taylor expansion of im in im 1.581 * [backup-simplify]: Simplify 0 into 0 1.581 * [backup-simplify]: Simplify 1 into 1 1.581 * [backup-simplify]: Simplify (* 1 1) into 1 1.581 * [backup-simplify]: Simplify (/ 1 1) into 1 1.581 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.581 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.581 * [taylor]: Taking taylor expansion of re in im 1.581 * [backup-simplify]: Simplify re into re 1.581 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.581 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.582 * [backup-simplify]: Simplify (+ 1 0) into 1 1.582 * [backup-simplify]: Simplify (sqrt 1) into 1 1.582 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.583 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.583 * [backup-simplify]: Simplify (+ 0 0) into 0 1.583 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.583 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.583 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.583 * [taylor]: Taking taylor expansion of re in re 1.583 * [backup-simplify]: Simplify 0 into 0 1.583 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (/ 1 1) into 1 1.584 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.584 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.584 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.584 * [taylor]: Taking taylor expansion of im in re 1.584 * [backup-simplify]: Simplify im into im 1.584 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.584 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.584 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.584 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.584 * [taylor]: Taking taylor expansion of re in re 1.584 * [backup-simplify]: Simplify 0 into 0 1.584 * [backup-simplify]: Simplify 1 into 1 1.584 * [backup-simplify]: Simplify (* 1 1) into 1 1.584 * [backup-simplify]: Simplify (/ 1 1) into 1 1.585 * [backup-simplify]: Simplify (+ 0 1) into 1 1.585 * [backup-simplify]: Simplify (sqrt 1) into 1 1.585 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.586 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.586 * [backup-simplify]: Simplify (+ 0 0) into 0 1.586 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.586 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.586 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.586 * [taylor]: Taking taylor expansion of re in re 1.586 * [backup-simplify]: Simplify 0 into 0 1.586 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify (/ 1 1) into 1 1.587 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.587 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.587 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.587 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.587 * [taylor]: Taking taylor expansion of im in re 1.587 * [backup-simplify]: Simplify im into im 1.587 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.587 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.587 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.587 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.587 * [taylor]: Taking taylor expansion of re in re 1.587 * [backup-simplify]: Simplify 0 into 0 1.587 * [backup-simplify]: Simplify 1 into 1 1.587 * [backup-simplify]: Simplify (* 1 1) into 1 1.588 * [backup-simplify]: Simplify (/ 1 1) into 1 1.588 * [backup-simplify]: Simplify (+ 0 1) into 1 1.588 * [backup-simplify]: Simplify (sqrt 1) into 1 1.588 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.589 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.589 * [backup-simplify]: Simplify (+ 0 0) into 0 1.589 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.590 * [backup-simplify]: Simplify (+ 1 1) into 2 1.590 * [taylor]: Taking taylor expansion of 2 in im 1.590 * [backup-simplify]: Simplify 2 into 2 1.590 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.590 * [backup-simplify]: Simplify (+ 0 0) into 0 1.590 * [taylor]: Taking taylor expansion of 0 in im 1.590 * [backup-simplify]: Simplify 0 into 0 1.590 * [backup-simplify]: Simplify 2 into 2 1.591 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.592 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.592 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.593 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.593 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.593 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.593 * [taylor]: Taking taylor expansion of 1/2 in im 1.593 * [backup-simplify]: Simplify 1/2 into 1/2 1.593 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.593 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.593 * [taylor]: Taking taylor expansion of im in im 1.593 * [backup-simplify]: Simplify 0 into 0 1.593 * [backup-simplify]: Simplify 1 into 1 1.594 * [backup-simplify]: Simplify (* 1 1) into 1 1.594 * [backup-simplify]: Simplify (/ 1 1) into 1 1.594 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.595 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.595 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.595 * [backup-simplify]: Simplify 0 into 0 1.596 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.596 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.596 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.596 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.597 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.598 * [backup-simplify]: Simplify (+ 0 0) into 0 1.598 * [taylor]: Taking taylor expansion of 0 in im 1.598 * [backup-simplify]: Simplify 0 into 0 1.599 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.599 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.600 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.600 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify 0 into 0 1.602 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 1.602 * * * [progress]: simplifying candidates 1.603 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* 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 (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- re) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 1.604 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp h1)) (log (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (exp (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (* (cbrt (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (cbrt (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))) (cbrt (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (* (* (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1) (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (sqrt (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (sqrt (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (- (pow (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow h1 3)) (+ (* (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (+ (* h1 h1) (* (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))) (- h1) (- (* (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* h1 h1)) (+ (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1) (- h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) 1.607 * * [simplify]: iteration 0 : 148 enodes (cost 643 ) 1.610 * * [simplify]: iteration 1 : 378 enodes (cost 541 ) 1.617 * * [simplify]: iteration 2 : 1206 enodes (cost 463 ) 1.643 * * [simplify]: iteration 3 : 4691 enodes (cost 456 ) 1.741 * * [simplify]: iteration 4 : 5001 enodes (cost 450 ) 1.743 * * * [progress]: adding candidates to table 1.991 * * [progress]: iteration 4 / 4 1.991 * * * [progress]: picking best candidate 2.010 * * * * [pick]: Picked # 2.010 * * * [progress]: localizing error 2.036 * * * [progress]: generating rewritten candidates 2.037 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1 2 1) 2.046 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 1 1 1 2 1) 2.054 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1 1 1 1 1 1) 2.063 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1) 2.178 * * * [progress]: generating series expansions 2.178 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1 2 1) 2.178 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.178 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.178 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.178 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.179 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.179 * [taylor]: Taking taylor expansion of re in im 2.179 * [backup-simplify]: Simplify re into re 2.179 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.179 * [taylor]: Taking taylor expansion of im in im 2.179 * [backup-simplify]: Simplify 0 into 0 2.179 * [backup-simplify]: Simplify 1 into 1 2.179 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.179 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.179 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.179 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.179 * [backup-simplify]: Simplify (+ 0 0) into 0 2.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.180 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.180 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.180 * [taylor]: Taking taylor expansion of re in re 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.180 * [taylor]: Taking taylor expansion of im in re 2.180 * [backup-simplify]: Simplify im into im 2.180 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.180 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.180 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.180 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.180 * [backup-simplify]: Simplify (+ 0 0) into 0 2.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.180 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.180 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.180 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.180 * [taylor]: Taking taylor expansion of re in re 2.180 * [backup-simplify]: Simplify 0 into 0 2.180 * [backup-simplify]: Simplify 1 into 1 2.181 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.181 * [taylor]: Taking taylor expansion of im in re 2.181 * [backup-simplify]: Simplify im into im 2.181 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.181 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.181 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.181 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.181 * [backup-simplify]: Simplify (+ 0 0) into 0 2.181 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.181 * [taylor]: Taking taylor expansion of im in im 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [taylor]: Taking taylor expansion of 0 in im 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 0 into 0 2.181 * [backup-simplify]: Simplify 1 into 1 2.182 * [backup-simplify]: Simplify (* 1 1) into 1 2.182 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.182 * [backup-simplify]: Simplify (+ 1 0) into 1 2.183 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.183 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.183 * [taylor]: Taking taylor expansion of 1/2 in im 2.183 * [backup-simplify]: Simplify 1/2 into 1/2 2.183 * [taylor]: Taking taylor expansion of im in im 2.183 * [backup-simplify]: Simplify 0 into 0 2.183 * [backup-simplify]: Simplify 1 into 1 2.183 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.184 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify 0 into 0 2.184 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.185 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.185 * [backup-simplify]: Simplify (+ 0 0) into 0 2.185 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.185 * [taylor]: Taking taylor expansion of 0 in im 2.185 * [backup-simplify]: Simplify 0 into 0 2.185 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.186 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.186 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.186 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.186 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.186 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.186 * [taylor]: Taking taylor expansion of im in im 2.186 * [backup-simplify]: Simplify 0 into 0 2.186 * [backup-simplify]: Simplify 1 into 1 2.186 * [backup-simplify]: Simplify (* 1 1) into 1 2.187 * [backup-simplify]: Simplify (/ 1 1) into 1 2.187 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.187 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.187 * [taylor]: Taking taylor expansion of re in im 2.187 * [backup-simplify]: Simplify re into re 2.187 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.187 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.187 * [backup-simplify]: Simplify (+ 1 0) into 1 2.187 * [backup-simplify]: Simplify (sqrt 1) into 1 2.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.188 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.188 * [backup-simplify]: Simplify (+ 0 0) into 0 2.189 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.189 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.189 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.189 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.189 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.189 * [taylor]: Taking taylor expansion of im in re 2.189 * [backup-simplify]: Simplify im into im 2.189 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.189 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.189 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.189 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.189 * [taylor]: Taking taylor expansion of re in re 2.189 * [backup-simplify]: Simplify 0 into 0 2.189 * [backup-simplify]: Simplify 1 into 1 2.190 * [backup-simplify]: Simplify (* 1 1) into 1 2.190 * [backup-simplify]: Simplify (/ 1 1) into 1 2.190 * [backup-simplify]: Simplify (+ 0 1) into 1 2.191 * [backup-simplify]: Simplify (sqrt 1) into 1 2.191 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.191 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.192 * [backup-simplify]: Simplify (+ 0 0) into 0 2.192 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.192 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.192 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.192 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.192 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.192 * [taylor]: Taking taylor expansion of im in re 2.192 * [backup-simplify]: Simplify im into im 2.192 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.192 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.192 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.192 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.192 * [taylor]: Taking taylor expansion of re in re 2.192 * [backup-simplify]: Simplify 0 into 0 2.192 * [backup-simplify]: Simplify 1 into 1 2.193 * [backup-simplify]: Simplify (* 1 1) into 1 2.193 * [backup-simplify]: Simplify (/ 1 1) into 1 2.193 * [backup-simplify]: Simplify (+ 0 1) into 1 2.194 * [backup-simplify]: Simplify (sqrt 1) into 1 2.194 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.194 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.195 * [backup-simplify]: Simplify (+ 0 0) into 0 2.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.195 * [taylor]: Taking taylor expansion of 1 in im 2.195 * [backup-simplify]: Simplify 1 into 1 2.195 * [taylor]: Taking taylor expansion of 0 in im 2.195 * [backup-simplify]: Simplify 0 into 0 2.195 * [backup-simplify]: Simplify 1 into 1 2.196 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.196 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.196 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.197 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.197 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.197 * [taylor]: Taking taylor expansion of 1/2 in im 2.197 * [backup-simplify]: Simplify 1/2 into 1/2 2.197 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.197 * [taylor]: Taking taylor expansion of im in im 2.197 * [backup-simplify]: Simplify 0 into 0 2.197 * [backup-simplify]: Simplify 1 into 1 2.198 * [backup-simplify]: Simplify (* 1 1) into 1 2.198 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.198 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.199 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify 0 into 0 2.199 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.199 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.200 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.200 * [backup-simplify]: Simplify (+ 0 0) into 0 2.201 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.201 * [taylor]: Taking taylor expansion of 0 in im 2.201 * [backup-simplify]: Simplify 0 into 0 2.201 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.202 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.202 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.202 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.202 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.202 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.202 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.202 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.202 * [taylor]: Taking taylor expansion of im in im 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.203 * [backup-simplify]: Simplify (* 1 1) into 1 2.203 * [backup-simplify]: Simplify (/ 1 1) into 1 2.203 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.203 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.203 * [taylor]: Taking taylor expansion of re in im 2.203 * [backup-simplify]: Simplify re into re 2.203 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.203 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.203 * [backup-simplify]: Simplify (+ 1 0) into 1 2.204 * [backup-simplify]: Simplify (sqrt 1) into 1 2.204 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.205 * [backup-simplify]: Simplify (+ 0 0) into 0 2.205 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.205 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.205 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.205 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.205 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.205 * [taylor]: Taking taylor expansion of im in re 2.205 * [backup-simplify]: Simplify im into im 2.205 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.205 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.205 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.205 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.205 * [taylor]: Taking taylor expansion of re in re 2.205 * [backup-simplify]: Simplify 0 into 0 2.205 * [backup-simplify]: Simplify 1 into 1 2.206 * [backup-simplify]: Simplify (* 1 1) into 1 2.206 * [backup-simplify]: Simplify (/ 1 1) into 1 2.206 * [backup-simplify]: Simplify (+ 0 1) into 1 2.206 * [backup-simplify]: Simplify (sqrt 1) into 1 2.207 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.207 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.207 * [backup-simplify]: Simplify (+ 0 0) into 0 2.208 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.208 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.208 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.208 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.208 * [taylor]: Taking taylor expansion of im in re 2.208 * [backup-simplify]: Simplify im into im 2.208 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.208 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.208 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.208 * [taylor]: Taking taylor expansion of re in re 2.208 * [backup-simplify]: Simplify 0 into 0 2.208 * [backup-simplify]: Simplify 1 into 1 2.208 * [backup-simplify]: Simplify (* 1 1) into 1 2.209 * [backup-simplify]: Simplify (/ 1 1) into 1 2.209 * [backup-simplify]: Simplify (+ 0 1) into 1 2.209 * [backup-simplify]: Simplify (sqrt 1) into 1 2.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.210 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.210 * [backup-simplify]: Simplify (+ 0 0) into 0 2.211 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.211 * [taylor]: Taking taylor expansion of 1 in im 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [taylor]: Taking taylor expansion of 0 in im 2.211 * [backup-simplify]: Simplify 0 into 0 2.211 * [backup-simplify]: Simplify 1 into 1 2.211 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.212 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.212 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.213 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.213 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.213 * [taylor]: Taking taylor expansion of 1/2 in im 2.213 * [backup-simplify]: Simplify 1/2 into 1/2 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 (/ 1/2 1) into 1/2 2.214 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.214 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify 0 into 0 2.214 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.215 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.215 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.216 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.216 * [backup-simplify]: Simplify (+ 0 0) into 0 2.216 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.216 * [taylor]: Taking taylor expansion of 0 in im 2.216 * [backup-simplify]: Simplify 0 into 0 2.217 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.217 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify 0 into 0 2.218 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.218 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 1 1 1 2 1) 2.218 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.218 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.218 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.218 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.218 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.218 * [taylor]: Taking taylor expansion of re in im 2.218 * [backup-simplify]: Simplify re into re 2.218 * [taylor]: Taking taylor expansion of (pow im 2) in im 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 (* re re) into (pow re 2) 2.218 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.218 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.218 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.219 * [backup-simplify]: Simplify (+ 0 0) into 0 2.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.219 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.219 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.219 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.219 * [taylor]: Taking taylor expansion of re in re 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.219 * [taylor]: Taking taylor expansion of im in re 2.219 * [backup-simplify]: Simplify im into im 2.219 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.219 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.219 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.219 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.219 * [backup-simplify]: Simplify (+ 0 0) into 0 2.219 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.219 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.219 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.219 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.219 * [taylor]: Taking taylor expansion of re in re 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.220 * [taylor]: Taking taylor expansion of im in re 2.220 * [backup-simplify]: Simplify im into im 2.220 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.220 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.220 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.220 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.220 * [backup-simplify]: Simplify (+ 0 0) into 0 2.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.220 * [taylor]: Taking taylor expansion of im in im 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [taylor]: Taking taylor expansion of 0 in im 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 0 into 0 2.220 * [backup-simplify]: Simplify 1 into 1 2.221 * [backup-simplify]: Simplify (* 1 1) into 1 2.221 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.221 * [backup-simplify]: Simplify (+ 1 0) into 1 2.222 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.222 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.222 * [taylor]: Taking taylor expansion of 1/2 in im 2.222 * [backup-simplify]: Simplify 1/2 into 1/2 2.222 * [taylor]: Taking taylor expansion of im in im 2.222 * [backup-simplify]: Simplify 0 into 0 2.222 * [backup-simplify]: Simplify 1 into 1 2.222 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.222 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.222 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify 0 into 0 2.223 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.223 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.224 * [backup-simplify]: Simplify (+ 0 0) into 0 2.224 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.224 * [taylor]: Taking taylor expansion of 0 in im 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.224 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.225 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.225 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.225 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.225 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.225 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.225 * [taylor]: Taking taylor expansion of im in im 2.225 * [backup-simplify]: Simplify 0 into 0 2.225 * [backup-simplify]: Simplify 1 into 1 2.225 * [backup-simplify]: Simplify (* 1 1) into 1 2.225 * [backup-simplify]: Simplify (/ 1 1) into 1 2.225 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.225 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.225 * [taylor]: Taking taylor expansion of re in im 2.225 * [backup-simplify]: Simplify re into re 2.225 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.226 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.226 * [backup-simplify]: Simplify (+ 1 0) into 1 2.226 * [backup-simplify]: Simplify (sqrt 1) into 1 2.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.228 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.228 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.228 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.228 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.228 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.228 * [taylor]: Taking taylor expansion of im in re 2.228 * [backup-simplify]: Simplify im into im 2.228 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.228 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.228 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.228 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.228 * [taylor]: Taking taylor expansion of re in re 2.228 * [backup-simplify]: Simplify 0 into 0 2.228 * [backup-simplify]: Simplify 1 into 1 2.228 * [backup-simplify]: Simplify (* 1 1) into 1 2.228 * [backup-simplify]: Simplify (/ 1 1) into 1 2.229 * [backup-simplify]: Simplify (+ 0 1) into 1 2.229 * [backup-simplify]: Simplify (sqrt 1) into 1 2.229 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.230 * [backup-simplify]: Simplify (+ 0 0) into 0 2.230 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.230 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.230 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.230 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.231 * [taylor]: Taking taylor expansion of im in re 2.231 * [backup-simplify]: Simplify im into im 2.231 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.231 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.231 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.231 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.231 * [taylor]: Taking taylor expansion of re in re 2.231 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify 1 into 1 2.231 * [backup-simplify]: Simplify (* 1 1) into 1 2.231 * [backup-simplify]: Simplify (/ 1 1) into 1 2.232 * [backup-simplify]: Simplify (+ 0 1) into 1 2.232 * [backup-simplify]: Simplify (sqrt 1) into 1 2.232 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.233 * [backup-simplify]: Simplify (+ 0 0) into 0 2.233 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.233 * [taylor]: Taking taylor expansion of 1 in im 2.233 * [backup-simplify]: Simplify 1 into 1 2.233 * [taylor]: Taking taylor expansion of 0 in im 2.233 * [backup-simplify]: Simplify 0 into 0 2.233 * [backup-simplify]: Simplify 1 into 1 2.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.235 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.235 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.235 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.235 * [taylor]: Taking taylor expansion of 1/2 in im 2.235 * [backup-simplify]: Simplify 1/2 into 1/2 2.235 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.235 * [taylor]: Taking taylor expansion of im in im 2.235 * [backup-simplify]: Simplify 0 into 0 2.235 * [backup-simplify]: Simplify 1 into 1 2.236 * [backup-simplify]: Simplify (* 1 1) into 1 2.236 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.236 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.237 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify 0 into 0 2.237 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.238 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.239 * [backup-simplify]: Simplify (+ 0 0) into 0 2.239 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.239 * [taylor]: Taking taylor expansion of 0 in im 2.239 * [backup-simplify]: Simplify 0 into 0 2.239 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.240 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify 0 into 0 2.240 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.240 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.240 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.240 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.241 * [taylor]: Taking taylor expansion of im in im 2.241 * [backup-simplify]: Simplify 0 into 0 2.241 * [backup-simplify]: Simplify 1 into 1 2.241 * [backup-simplify]: Simplify (* 1 1) into 1 2.241 * [backup-simplify]: Simplify (/ 1 1) into 1 2.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.241 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.241 * [taylor]: Taking taylor expansion of re in im 2.241 * [backup-simplify]: Simplify re into re 2.241 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.241 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.242 * [backup-simplify]: Simplify (+ 1 0) into 1 2.242 * [backup-simplify]: Simplify (sqrt 1) into 1 2.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.243 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.243 * [backup-simplify]: Simplify (+ 0 0) into 0 2.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.243 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.243 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.243 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.243 * [taylor]: Taking taylor expansion of im in re 2.243 * [backup-simplify]: Simplify im into im 2.243 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.244 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.244 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.244 * [taylor]: Taking taylor expansion of re in re 2.244 * [backup-simplify]: Simplify 0 into 0 2.244 * [backup-simplify]: Simplify 1 into 1 2.244 * [backup-simplify]: Simplify (* 1 1) into 1 2.244 * [backup-simplify]: Simplify (/ 1 1) into 1 2.245 * [backup-simplify]: Simplify (+ 0 1) into 1 2.245 * [backup-simplify]: Simplify (sqrt 1) into 1 2.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.246 * [backup-simplify]: Simplify (+ 0 0) into 0 2.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.246 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.246 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.246 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.246 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.246 * [taylor]: Taking taylor expansion of im in re 2.246 * [backup-simplify]: Simplify im into im 2.246 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.247 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.247 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.247 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.247 * [taylor]: Taking taylor expansion of re in re 2.247 * [backup-simplify]: Simplify 0 into 0 2.247 * [backup-simplify]: Simplify 1 into 1 2.247 * [backup-simplify]: Simplify (* 1 1) into 1 2.247 * [backup-simplify]: Simplify (/ 1 1) into 1 2.247 * [backup-simplify]: Simplify (+ 0 1) into 1 2.248 * [backup-simplify]: Simplify (sqrt 1) into 1 2.248 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.248 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.249 * [backup-simplify]: Simplify (+ 0 0) into 0 2.249 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.249 * [taylor]: Taking taylor expansion of 1 in im 2.249 * [backup-simplify]: Simplify 1 into 1 2.249 * [taylor]: Taking taylor expansion of 0 in im 2.249 * [backup-simplify]: Simplify 0 into 0 2.249 * [backup-simplify]: Simplify 1 into 1 2.250 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.250 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.251 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.251 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.251 * [taylor]: Taking taylor expansion of 1/2 in im 2.251 * [backup-simplify]: Simplify 1/2 into 1/2 2.251 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.251 * [taylor]: Taking taylor expansion of im in im 2.251 * [backup-simplify]: Simplify 0 into 0 2.251 * [backup-simplify]: Simplify 1 into 1 2.252 * [backup-simplify]: Simplify (* 1 1) into 1 2.254 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.255 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.255 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.255 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify 0 into 0 2.256 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.256 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.256 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.257 * [backup-simplify]: Simplify (+ 0 0) into 0 2.258 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.258 * [taylor]: Taking taylor expansion of 0 in im 2.258 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.259 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.259 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1 1 1 1 1 1) 2.259 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.259 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.259 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.259 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.259 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.259 * [taylor]: Taking taylor expansion of re in im 2.259 * [backup-simplify]: Simplify re into re 2.259 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.259 * [taylor]: Taking taylor expansion of im in im 2.259 * [backup-simplify]: Simplify 0 into 0 2.259 * [backup-simplify]: Simplify 1 into 1 2.259 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.259 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.260 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.260 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.260 * [backup-simplify]: Simplify (+ 0 0) into 0 2.260 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.260 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.260 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.260 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.260 * [taylor]: Taking taylor expansion of re in re 2.260 * [backup-simplify]: Simplify 0 into 0 2.260 * [backup-simplify]: Simplify 1 into 1 2.260 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.260 * [taylor]: Taking taylor expansion of im in re 2.260 * [backup-simplify]: Simplify im into im 2.260 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.260 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.260 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.260 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.261 * [backup-simplify]: Simplify (+ 0 0) into 0 2.261 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.261 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.261 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.261 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.261 * [taylor]: Taking taylor expansion of re in re 2.261 * [backup-simplify]: Simplify 0 into 0 2.261 * [backup-simplify]: Simplify 1 into 1 2.261 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.261 * [taylor]: Taking taylor expansion of im in re 2.261 * [backup-simplify]: Simplify im into im 2.261 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.261 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.261 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.261 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.262 * [backup-simplify]: Simplify (+ 0 0) into 0 2.262 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 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 0 into 0 2.262 * [taylor]: Taking taylor expansion of 0 in im 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 0 into 0 2.262 * [backup-simplify]: Simplify 1 into 1 2.262 * [backup-simplify]: Simplify (* 1 1) into 1 2.262 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.263 * [backup-simplify]: Simplify (+ 1 0) into 1 2.263 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.263 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.263 * [taylor]: Taking taylor expansion of 1/2 in im 2.263 * [backup-simplify]: Simplify 1/2 into 1/2 2.263 * [taylor]: Taking taylor expansion of im in im 2.263 * [backup-simplify]: Simplify 0 into 0 2.263 * [backup-simplify]: Simplify 1 into 1 2.263 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.264 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify 0 into 0 2.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.265 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.265 * [backup-simplify]: Simplify (+ 0 0) into 0 2.265 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.265 * [taylor]: Taking taylor expansion of 0 in im 2.265 * [backup-simplify]: Simplify 0 into 0 2.265 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify 0 into 0 2.266 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.266 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.266 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.266 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.266 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.266 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.266 * [taylor]: Taking taylor expansion of (pow im 2) 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 2.267 * [backup-simplify]: Simplify (* 1 1) into 1 2.267 * [backup-simplify]: Simplify (/ 1 1) into 1 2.267 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.267 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.267 * [taylor]: Taking taylor expansion of re in im 2.267 * [backup-simplify]: Simplify re into re 2.267 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.267 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.267 * [backup-simplify]: Simplify (+ 1 0) into 1 2.267 * [backup-simplify]: Simplify (sqrt 1) into 1 2.268 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.268 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.269 * [backup-simplify]: Simplify (+ 0 0) into 0 2.269 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.269 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.269 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.269 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.269 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.269 * [taylor]: Taking taylor expansion of im in re 2.269 * [backup-simplify]: Simplify im into im 2.269 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.269 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.269 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.269 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.269 * [taylor]: Taking taylor expansion of re in re 2.269 * [backup-simplify]: Simplify 0 into 0 2.269 * [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 * [backup-simplify]: Simplify (+ 0 1) into 1 2.270 * [backup-simplify]: Simplify (sqrt 1) into 1 2.271 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.271 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.271 * [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 (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.272 * [taylor]: Taking taylor expansion of im in re 2.272 * [backup-simplify]: Simplify im into im 2.272 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.272 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.272 * [taylor]: Taking taylor expansion of re in re 2.272 * [backup-simplify]: Simplify 0 into 0 2.272 * [backup-simplify]: Simplify 1 into 1 2.272 * [backup-simplify]: Simplify (* 1 1) into 1 2.273 * [backup-simplify]: Simplify (/ 1 1) into 1 2.273 * [backup-simplify]: Simplify (+ 0 1) into 1 2.273 * [backup-simplify]: Simplify (sqrt 1) into 1 2.273 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.274 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.274 * [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 in im 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [taylor]: Taking taylor expansion of 0 in im 2.275 * [backup-simplify]: Simplify 0 into 0 2.275 * [backup-simplify]: Simplify 1 into 1 2.275 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.276 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.277 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.277 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.277 * [taylor]: Taking taylor expansion of 1/2 in im 2.277 * [backup-simplify]: Simplify 1/2 into 1/2 2.277 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.277 * [taylor]: Taking taylor expansion of im in im 2.277 * [backup-simplify]: Simplify 0 into 0 2.277 * [backup-simplify]: Simplify 1 into 1 2.277 * [backup-simplify]: Simplify (* 1 1) into 1 2.278 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.278 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.278 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 0 into 0 2.278 * [backup-simplify]: Simplify 0 into 0 2.279 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.279 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.279 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.280 * [backup-simplify]: Simplify (+ 0 0) into 0 2.281 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.281 * [taylor]: Taking taylor expansion of 0 in im 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.282 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify 0 into 0 2.282 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.282 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.282 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.282 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.282 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 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 2.283 * [backup-simplify]: Simplify (/ 1 1) into 1 2.283 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.283 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.283 * [taylor]: Taking taylor expansion of re in im 2.283 * [backup-simplify]: Simplify re into re 2.283 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.283 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.283 * [backup-simplify]: Simplify (+ 1 0) into 1 2.283 * [backup-simplify]: Simplify (sqrt 1) into 1 2.284 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.284 * [backup-simplify]: Simplify (+ 0 0) into 0 2.285 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.285 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.285 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.285 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.285 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.285 * [taylor]: Taking taylor expansion of im in re 2.285 * [backup-simplify]: Simplify im into im 2.285 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.285 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.285 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.285 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.285 * [taylor]: Taking taylor expansion of re in re 2.285 * [backup-simplify]: Simplify 0 into 0 2.285 * [backup-simplify]: Simplify 1 into 1 2.285 * [backup-simplify]: Simplify (* 1 1) into 1 2.286 * [backup-simplify]: Simplify (/ 1 1) into 1 2.286 * [backup-simplify]: Simplify (+ 0 1) into 1 2.286 * [backup-simplify]: Simplify (sqrt 1) into 1 2.287 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.287 * [backup-simplify]: Simplify (+ 0 0) into 0 2.288 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.288 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.288 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.288 * [taylor]: Taking taylor expansion of im in re 2.288 * [backup-simplify]: Simplify im into im 2.288 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.288 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.288 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.288 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.288 * [taylor]: Taking taylor expansion of re in re 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 2.288 * [backup-simplify]: Simplify (/ 1 1) into 1 2.289 * [backup-simplify]: Simplify (+ 0 1) into 1 2.289 * [backup-simplify]: Simplify (sqrt 1) into 1 2.289 * [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 2.290 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.290 * [taylor]: Taking taylor expansion of 1 in im 2.290 * [backup-simplify]: Simplify 1 into 1 2.290 * [taylor]: Taking taylor expansion of 0 in im 2.291 * [backup-simplify]: Simplify 0 into 0 2.291 * [backup-simplify]: Simplify 1 into 1 2.291 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.292 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.293 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.293 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.293 * [taylor]: Taking taylor expansion of 1/2 in im 2.293 * [backup-simplify]: Simplify 1/2 into 1/2 2.293 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.293 * [taylor]: Taking taylor expansion of im in im 2.293 * [backup-simplify]: Simplify 0 into 0 2.293 * [backup-simplify]: Simplify 1 into 1 2.293 * [backup-simplify]: Simplify (* 1 1) into 1 2.293 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.294 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.294 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.294 * [backup-simplify]: Simplify 0 into 0 2.295 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.295 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.295 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.296 * [backup-simplify]: Simplify (+ 0 0) into 0 2.296 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.297 * [taylor]: Taking taylor expansion of 0 in im 2.297 * [backup-simplify]: Simplify 0 into 0 2.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.298 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.298 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1) 2.298 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 2.298 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 2.298 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.298 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.298 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.298 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.298 * [taylor]: Taking taylor expansion of re in im 2.298 * [backup-simplify]: Simplify re into re 2.298 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.298 * [taylor]: Taking taylor expansion of im in im 2.298 * [backup-simplify]: Simplify 0 into 0 2.298 * [backup-simplify]: Simplify 1 into 1 2.299 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.299 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.299 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.299 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.299 * [backup-simplify]: Simplify (+ 0 0) into 0 2.299 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.299 * [taylor]: Taking taylor expansion of re in im 2.299 * [backup-simplify]: Simplify re into re 2.299 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.299 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.299 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.299 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.299 * [taylor]: Taking taylor expansion of re in re 2.299 * [backup-simplify]: Simplify 0 into 0 2.299 * [backup-simplify]: Simplify 1 into 1 2.299 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.299 * [taylor]: Taking taylor expansion of im in re 2.299 * [backup-simplify]: Simplify im into im 2.299 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.299 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.300 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.300 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.300 * [backup-simplify]: Simplify (+ 0 0) into 0 2.300 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.300 * [taylor]: Taking taylor expansion of re in re 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 1 into 1 2.300 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.300 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.300 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.300 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.300 * [taylor]: Taking taylor expansion of re in re 2.300 * [backup-simplify]: Simplify 0 into 0 2.300 * [backup-simplify]: Simplify 1 into 1 2.300 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.300 * [taylor]: Taking taylor expansion of im in re 2.300 * [backup-simplify]: Simplify im into im 2.300 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.300 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.300 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.300 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.301 * [backup-simplify]: Simplify (+ 0 0) into 0 2.301 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.301 * [taylor]: Taking taylor expansion of re in re 2.301 * [backup-simplify]: Simplify 0 into 0 2.301 * [backup-simplify]: Simplify 1 into 1 2.301 * [backup-simplify]: Simplify (- 0) into 0 2.301 * [backup-simplify]: Simplify (+ im 0) into 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 0 into 0 2.301 * [backup-simplify]: Simplify (- 1) into -1 2.302 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.302 * [taylor]: Taking taylor expansion of -1 in im 2.302 * [backup-simplify]: Simplify -1 into -1 2.302 * [backup-simplify]: Simplify -1 into -1 2.302 * [backup-simplify]: Simplify 1 into 1 2.302 * [backup-simplify]: Simplify (* 1 1) into 1 2.302 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.303 * [backup-simplify]: Simplify (+ 1 0) into 1 2.303 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.303 * [backup-simplify]: Simplify (- 0) into 0 2.303 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 2.303 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 2.303 * [taylor]: Taking taylor expansion of 1/2 in im 2.303 * [backup-simplify]: Simplify 1/2 into 1/2 2.303 * [taylor]: Taking taylor expansion of (/ 1 im) in im 2.303 * [taylor]: Taking taylor expansion of im in im 2.303 * [backup-simplify]: Simplify 0 into 0 2.303 * [backup-simplify]: Simplify 1 into 1 2.304 * [backup-simplify]: Simplify (/ 1 1) into 1 2.304 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.305 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify 0 into 0 2.305 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.305 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.306 * [backup-simplify]: Simplify (+ 0 0) into 0 2.306 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.306 * [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 0 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 2.308 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 2.308 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (cbrt (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 2.308 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 2.308 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.308 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.308 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.308 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.308 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.308 * [taylor]: Taking taylor expansion of im in im 2.308 * [backup-simplify]: Simplify 0 into 0 2.308 * [backup-simplify]: Simplify 1 into 1 2.309 * [backup-simplify]: Simplify (* 1 1) into 1 2.309 * [backup-simplify]: Simplify (/ 1 1) into 1 2.309 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.309 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.309 * [taylor]: Taking taylor expansion of re in im 2.309 * [backup-simplify]: Simplify re into re 2.309 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.309 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.309 * [backup-simplify]: Simplify (+ 1 0) into 1 2.310 * [backup-simplify]: Simplify (sqrt 1) into 1 2.310 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.310 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.311 * [backup-simplify]: Simplify (+ 0 0) into 0 2.311 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.311 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.311 * [taylor]: Taking taylor expansion of re in im 2.311 * [backup-simplify]: Simplify re into re 2.311 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.311 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.311 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.311 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.311 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.311 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.311 * [taylor]: Taking taylor expansion of im in re 2.311 * [backup-simplify]: Simplify im into im 2.311 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.312 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.312 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.312 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.312 * [taylor]: Taking taylor expansion of re in re 2.312 * [backup-simplify]: Simplify 0 into 0 2.312 * [backup-simplify]: Simplify 1 into 1 2.312 * [backup-simplify]: Simplify (* 1 1) into 1 2.312 * [backup-simplify]: Simplify (/ 1 1) into 1 2.312 * [backup-simplify]: Simplify (+ 0 1) into 1 2.313 * [backup-simplify]: Simplify (sqrt 1) into 1 2.313 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.313 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.314 * [backup-simplify]: Simplify (+ 0 0) into 0 2.314 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.314 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.314 * [taylor]: Taking taylor expansion of re in re 2.314 * [backup-simplify]: Simplify 0 into 0 2.314 * [backup-simplify]: Simplify 1 into 1 2.314 * [backup-simplify]: Simplify (/ 1 1) into 1 2.314 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.314 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.314 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.314 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.314 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.314 * [taylor]: Taking taylor expansion of im in re 2.314 * [backup-simplify]: Simplify im into im 2.314 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.315 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.315 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.315 * [taylor]: Taking taylor expansion of re in re 2.315 * [backup-simplify]: Simplify 0 into 0 2.315 * [backup-simplify]: Simplify 1 into 1 2.315 * [backup-simplify]: Simplify (* 1 1) into 1 2.315 * [backup-simplify]: Simplify (/ 1 1) into 1 2.315 * [backup-simplify]: Simplify (+ 0 1) into 1 2.316 * [backup-simplify]: Simplify (sqrt 1) into 1 2.316 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.316 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.317 * [backup-simplify]: Simplify (+ 0 0) into 0 2.317 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.317 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.317 * [taylor]: Taking taylor expansion of re in re 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 1 into 1 2.317 * [backup-simplify]: Simplify (/ 1 1) into 1 2.318 * [backup-simplify]: Simplify (- 1) into -1 2.318 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.318 * [taylor]: Taking taylor expansion of 0 in im 2.318 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.319 * [backup-simplify]: Simplify (- 0) into 0 2.319 * [backup-simplify]: Simplify (+ 0 0) into 0 2.319 * [taylor]: Taking taylor expansion of 0 in im 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify 0 into 0 2.319 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.320 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.321 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.321 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.322 * [backup-simplify]: Simplify (- 0) into 0 2.322 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.322 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.322 * [taylor]: Taking taylor expansion of 1/2 in im 2.322 * [backup-simplify]: Simplify 1/2 into 1/2 2.322 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.322 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.322 * [taylor]: Taking taylor expansion of im in im 2.322 * [backup-simplify]: Simplify 0 into 0 2.322 * [backup-simplify]: Simplify 1 into 1 2.322 * [backup-simplify]: Simplify (* 1 1) into 1 2.322 * [backup-simplify]: Simplify (/ 1 1) into 1 2.323 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.323 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.324 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify 0 into 0 2.324 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.324 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.325 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.325 * [backup-simplify]: Simplify (+ 0 0) into 0 2.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.326 * [backup-simplify]: Simplify (- 0) into 0 2.327 * [backup-simplify]: Simplify (+ 0 0) into 0 2.327 * [taylor]: Taking taylor expansion of 0 in im 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.328 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.328 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify (- (* (* (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (cbrt (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 2.329 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 2.329 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.329 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.329 * [taylor]: Taking taylor expansion of re in im 2.329 * [backup-simplify]: Simplify re into re 2.329 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.329 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.329 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.329 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.329 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.329 * [taylor]: Taking taylor expansion of im in im 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 1 into 1 2.330 * [backup-simplify]: Simplify (* 1 1) into 1 2.330 * [backup-simplify]: Simplify (/ 1 1) into 1 2.330 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.330 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.330 * [taylor]: Taking taylor expansion of re in im 2.330 * [backup-simplify]: Simplify re into re 2.330 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.330 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.330 * [backup-simplify]: Simplify (+ 1 0) into 1 2.331 * [backup-simplify]: Simplify (sqrt 1) into 1 2.331 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.331 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.332 * [backup-simplify]: Simplify (+ 0 0) into 0 2.332 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.332 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.332 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.332 * [taylor]: Taking taylor expansion of re in re 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (/ 1 1) into 1 2.332 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.332 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.333 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.333 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.333 * [taylor]: Taking taylor expansion of im in re 2.333 * [backup-simplify]: Simplify im into im 2.333 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.333 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.333 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.333 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.333 * [taylor]: Taking taylor expansion of re in re 2.333 * [backup-simplify]: Simplify 0 into 0 2.333 * [backup-simplify]: Simplify 1 into 1 2.333 * [backup-simplify]: Simplify (* 1 1) into 1 2.333 * [backup-simplify]: Simplify (/ 1 1) into 1 2.334 * [backup-simplify]: Simplify (+ 0 1) into 1 2.334 * [backup-simplify]: Simplify (sqrt 1) into 1 2.334 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.335 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.335 * [backup-simplify]: Simplify (+ 0 0) into 0 2.335 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.335 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.335 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.335 * [taylor]: Taking taylor expansion of re in re 2.335 * [backup-simplify]: Simplify 0 into 0 2.335 * [backup-simplify]: Simplify 1 into 1 2.336 * [backup-simplify]: Simplify (/ 1 1) into 1 2.336 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.336 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.336 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.336 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.336 * [taylor]: Taking taylor expansion of im in re 2.336 * [backup-simplify]: Simplify im into im 2.336 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.336 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.336 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.336 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.336 * [taylor]: Taking taylor expansion of re in re 2.336 * [backup-simplify]: Simplify 0 into 0 2.336 * [backup-simplify]: Simplify 1 into 1 2.336 * [backup-simplify]: Simplify (* 1 1) into 1 2.336 * [backup-simplify]: Simplify (/ 1 1) into 1 2.337 * [backup-simplify]: Simplify (+ 0 1) into 1 2.337 * [backup-simplify]: Simplify (sqrt 1) into 1 2.337 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.338 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.338 * [backup-simplify]: Simplify (+ 0 0) into 0 2.338 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.339 * [backup-simplify]: Simplify (+ 1 1) into 2 2.339 * [taylor]: Taking taylor expansion of 2 in im 2.339 * [backup-simplify]: Simplify 2 into 2 2.339 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.339 * [backup-simplify]: Simplify (+ 0 0) into 0 2.339 * [taylor]: Taking taylor expansion of 0 in im 2.339 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 2 into 2 2.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.341 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.341 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.342 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.342 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 2.342 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 2.342 * [taylor]: Taking taylor expansion of 1/2 in im 2.342 * [backup-simplify]: Simplify 1/2 into 1/2 2.342 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.342 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.342 * [taylor]: Taking taylor expansion of im in im 2.342 * [backup-simplify]: Simplify 0 into 0 2.342 * [backup-simplify]: Simplify 1 into 1 2.342 * [backup-simplify]: Simplify (* 1 1) into 1 2.343 * [backup-simplify]: Simplify (/ 1 1) into 1 2.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.344 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.344 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.344 * [backup-simplify]: Simplify 0 into 0 2.345 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.345 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.346 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.346 * [backup-simplify]: Simplify (+ 0 0) into 0 2.347 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.347 * [backup-simplify]: Simplify (+ 0 0) into 0 2.347 * [taylor]: Taking taylor expansion of 0 in im 2.347 * [backup-simplify]: Simplify 0 into 0 2.348 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.348 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.349 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify 0 into 0 2.349 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 2.349 * * * [progress]: simplifying candidates 2.350 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (+ (* 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 (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (exp (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (cbrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (* (* (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (sqrt (- (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re)) (- (pow (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (+ (* re re) (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re))) (- re) (- (* (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))))) (* re re)) (+ (* (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im))))) re) (- re) im re (* -1 re) im re (* -1 re) im re (* -1 re) (- im re) 0 (* -2 re) 2.350 * [simplify]: Sending expressions to egg_math: (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (log (sqrt (+ (* h1 h1) (* h0 h0)))) (exp (sqrt (+ (* h1 h1) (* h0 h0)))) (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (* (* (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (* (cbrt (+ (* h1 h1) (* h0 h0))) (cbrt (+ (* h1 h1) (* h0 h0))))) (sqrt (cbrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt 1) (sqrt (+ (* h1 h1) (* h0 h0))) (sqrt (+ (pow (* h1 h1) 3) (pow (* h0 h0) 3))) (sqrt (+ (* (* h1 h1) (* h1 h1)) (- (* (* h0 h0) (* h0 h0)) (* (* h1 h1) (* h0 h0))))) (sqrt (- (* (* h1 h1) (* h1 h1)) (* (* h0 h0) (* h0 h0)))) (sqrt (- (* h1 h1) (* h0 h0))) (/ 1 2) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (sqrt (sqrt (+ (* h1 h1) (* h0 h0)))) (/ (exp (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (exp h1)) (log (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (exp (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (* (cbrt (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (cbrt (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))) (cbrt (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (* (* (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1) (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (sqrt (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (sqrt (- (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1)) (- (pow (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) 3) (pow h1 3)) (+ (* (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (+ (* h1 h1) (* (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1))) (- h1) (- (* (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))))) (* h1 h1)) (+ (* (* (cbrt (sqrt (+ (* h1 h1) (* h0 h0)))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) (cbrt (sqrt (+ (* h1 h1) (* h0 h0))))) h1) (- h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) h0 h1 (* -1 h1) (- h0 h1) 0 (* -2 h1) 2.356 * * [simplify]: iteration 0 : 148 enodes (cost 643 ) 2.359 * * [simplify]: iteration 1 : 378 enodes (cost 541 ) 2.367 * * [simplify]: iteration 2 : 1206 enodes (cost 463 ) 2.394 * * [simplify]: iteration 3 : 4691 enodes (cost 456 ) 2.493 * * [simplify]: iteration 4 : 5001 enodes (cost 450 ) 2.496 * * * [progress]: adding candidates to table 2.788 * [progress]: [Phase 3 of 3] Extracting. 2.788 * * [regime]: Finding splitpoints for: (# # # # # # # # # # #) 2.793 * * * [regime-changes]: Trying 5 branch expressions: ((* im im) (- (sqrt (+ (* re re) (* im im))) re) (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) im re) 2.794 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # # # #) 2.844 * * * * [regimes]: Trying to branch on (* im im) from (# # # # # # # # #) 2.887 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# # # # # # # # # # #) 2.941 * * * * [regimes]: Trying to branch on (- (sqrt (+ (* re re) (* im im))) re) from (# #) 2.959 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# # # # # # # # # # #) 3.015 * * * * [regimes]: Trying to branch on (* 2.0 (- (sqrt (+ (* re re) (* im im))) re)) from (# #) 3.034 * * * * [regimes]: Trying to branch on im from (# # # # # # # # # # #) 3.130 * * * * [regimes]: Trying to branch on re from (# # # # # # # # # # #) 3.195 * * * [regime]: Found split indices: #