25.058 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.041 * * * [progress]: [2/2] Setting up program. 0.044 * [progress]: [Phase 2 of 3] Improving. 0.044 * [simplify]: Simplifying: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.044 * * [simplify]: Extracting # 0 : cost 0 0.044 * * [simplify]: Extracting # 1 : cost 0 0.044 * * [simplify]: Extracting # 2 : cost 0 0.044 * * [simplify]: Extracting # 3 : cost 0 0.044 * * [simplify]: Extracting # 4 : cost 0 0.044 * * [simplify]: Extracting # 5 : cost 0 0.044 * * [simplify]: Extracting # 6 : cost 0 0.044 * * [simplify]: Extracting # 7 : cost 0 0.044 * * [simplify]: Extracting # 8 : cost 0 0.044 * * [simplify]: iteration 0 : 12 enodes (cost 15 ) 0.046 * * [simplify]: Extracting # 0 : cost 0 0.046 * * [simplify]: Extracting # 1 : cost 0 0.046 * * [simplify]: Extracting # 2 : cost 0 0.046 * * [simplify]: iteration 1 : 22 enodes (cost 15 ) 0.049 * * [simplify]: Extracting # 0 : cost 0 0.049 * * [simplify]: iteration 2 : 24 enodes (cost 15 ) 0.052 * * [simplify]: Extracting # 0 : cost 0 0.053 * * [simplify]: iteration done: 24 enodes (cost 15 ) 0.053 * [simplify]: Simplified to: (* 0.5 (sqrt (* 2.0 (+ (sqrt (+ (* re re) (* im im))) re)))) 0.053 * * [progress]: iteration 1 / 4 0.053 * * * [progress]: picking best candidate 0.055 * * * * [pick]: Picked # 0.055 * * * [progress]: localizing error 0.067 * * * [progress]: generating rewritten candidates 0.068 * * * * [progress]: [ 1 / 3 ] rewriting at (2 2 1 2 1) 0.080 * * * * [progress]: [ 2 / 3 ] rewriting at (2 2 1 2) 0.138 * * * * [progress]: [ 3 / 3 ] rewriting at (2 2 1 2 1 1) 0.147 * * * [progress]: generating series expansions 0.147 * * * * [progress]: [ 1 / 3 ] generating series at (2 2 1 2 1) 0.148 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 0.148 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 0.148 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.148 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.148 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.148 * [taylor]: Taking taylor expansion of re in im 0.148 * [backup-simplify]: Simplify re into re 0.148 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.148 * [taylor]: Taking taylor expansion of im in im 0.148 * [backup-simplify]: Simplify 0 into 0 0.148 * [backup-simplify]: Simplify 1 into 1 0.148 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.148 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.148 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.148 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.149 * [backup-simplify]: Simplify (+ 0 0) into 0 0.149 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.149 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.149 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.149 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.149 * [taylor]: Taking taylor expansion of re in re 0.149 * [backup-simplify]: Simplify 0 into 0 0.149 * [backup-simplify]: Simplify 1 into 1 0.149 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.149 * [taylor]: Taking taylor expansion of im in re 0.149 * [backup-simplify]: Simplify im into im 0.149 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.149 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.149 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.149 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.150 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.150 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.150 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.150 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.150 * [taylor]: Taking taylor expansion of re in re 0.150 * [backup-simplify]: Simplify 0 into 0 0.150 * [backup-simplify]: Simplify 1 into 1 0.150 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.150 * [taylor]: Taking taylor expansion of im in re 0.150 * [backup-simplify]: Simplify im into im 0.150 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.150 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.150 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.150 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.150 * [backup-simplify]: Simplify (+ 0 0) into 0 0.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.151 * [taylor]: Taking taylor expansion of im in im 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [taylor]: Taking taylor expansion of 0 in im 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 0 into 0 0.151 * [backup-simplify]: Simplify 1 into 1 0.151 * [backup-simplify]: Simplify (* 1 1) into 1 0.151 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.152 * [backup-simplify]: Simplify (+ 1 0) into 1 0.152 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.152 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 0.152 * [taylor]: Taking taylor expansion of 1/2 in im 0.152 * [backup-simplify]: Simplify 1/2 into 1/2 0.152 * [taylor]: Taking taylor expansion of im in im 0.152 * [backup-simplify]: Simplify 0 into 0 0.152 * [backup-simplify]: Simplify 1 into 1 0.152 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 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 (+ (* 1 0) (* 0 1)) into 0 0.154 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.154 * [backup-simplify]: Simplify (+ 0 0) into 0 0.154 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.154 * [taylor]: Taking taylor expansion of 0 in im 0.154 * [backup-simplify]: Simplify 0 into 0 0.154 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 0.155 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.155 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.155 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.155 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.155 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.155 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.155 * [taylor]: Taking taylor expansion of im in im 0.155 * [backup-simplify]: Simplify 0 into 0 0.155 * [backup-simplify]: Simplify 1 into 1 0.156 * [backup-simplify]: Simplify (* 1 1) into 1 0.156 * [backup-simplify]: Simplify (/ 1 1) into 1 0.156 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.156 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.156 * [taylor]: Taking taylor expansion of re in im 0.156 * [backup-simplify]: Simplify re into re 0.156 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.156 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.156 * [backup-simplify]: Simplify (+ 1 0) into 1 0.157 * [backup-simplify]: Simplify (sqrt 1) into 1 0.157 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.157 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.158 * [backup-simplify]: Simplify (+ 0 0) into 0 0.158 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.158 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.158 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.158 * [taylor]: Taking taylor expansion of im in re 0.158 * [backup-simplify]: Simplify im into im 0.158 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.158 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.158 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.158 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.158 * [taylor]: Taking taylor expansion of re in re 0.158 * [backup-simplify]: Simplify 0 into 0 0.158 * [backup-simplify]: Simplify 1 into 1 0.159 * [backup-simplify]: Simplify (* 1 1) into 1 0.159 * [backup-simplify]: Simplify (/ 1 1) into 1 0.159 * [backup-simplify]: Simplify (+ 0 1) into 1 0.159 * [backup-simplify]: Simplify (sqrt 1) into 1 0.160 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.160 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.160 * [backup-simplify]: Simplify (+ 0 0) into 0 0.161 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.161 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.161 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.161 * [taylor]: Taking taylor expansion of im in re 0.161 * [backup-simplify]: Simplify im into im 0.161 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.161 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.161 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.161 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.161 * [taylor]: Taking taylor expansion of re in re 0.161 * [backup-simplify]: Simplify 0 into 0 0.161 * [backup-simplify]: Simplify 1 into 1 0.161 * [backup-simplify]: Simplify (* 1 1) into 1 0.161 * [backup-simplify]: Simplify (/ 1 1) into 1 0.162 * [backup-simplify]: Simplify (+ 0 1) into 1 0.162 * [backup-simplify]: Simplify (sqrt 1) into 1 0.162 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.163 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.163 * [backup-simplify]: Simplify (+ 0 0) into 0 0.163 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.163 * [taylor]: Taking taylor expansion of 1 in im 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [taylor]: Taking taylor expansion of 0 in im 0.164 * [backup-simplify]: Simplify 0 into 0 0.164 * [backup-simplify]: Simplify 1 into 1 0.164 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.165 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.165 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.166 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.166 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.166 * [taylor]: Taking taylor expansion of 1/2 in im 0.166 * [backup-simplify]: Simplify 1/2 into 1/2 0.166 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.166 * [taylor]: Taking taylor expansion of im in im 0.166 * [backup-simplify]: Simplify 0 into 0 0.166 * [backup-simplify]: Simplify 1 into 1 0.166 * [backup-simplify]: Simplify (* 1 1) into 1 0.167 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.167 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.167 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [backup-simplify]: Simplify 0 into 0 0.167 * [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 0.168 * [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 0.169 * [backup-simplify]: Simplify (+ 0 0) into 0 0.169 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.169 * [taylor]: Taking taylor expansion of 0 in im 0.170 * [backup-simplify]: Simplify 0 into 0 0.170 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.171 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 0.171 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 0.171 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 0.171 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.171 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.171 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.171 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.171 * [taylor]: Taking taylor expansion of im in im 0.171 * [backup-simplify]: Simplify 0 into 0 0.171 * [backup-simplify]: Simplify 1 into 1 0.171 * [backup-simplify]: Simplify (* 1 1) into 1 0.172 * [backup-simplify]: Simplify (/ 1 1) into 1 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.172 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.172 * [taylor]: Taking taylor expansion of re in im 0.172 * [backup-simplify]: Simplify re into re 0.172 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.172 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.172 * [backup-simplify]: Simplify (+ 1 0) into 1 0.172 * [backup-simplify]: Simplify (sqrt 1) into 1 0.173 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.173 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.173 * [backup-simplify]: Simplify (+ 0 0) into 0 0.174 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.174 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.174 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.174 * [taylor]: Taking taylor expansion of im in re 0.174 * [backup-simplify]: Simplify im into im 0.174 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.174 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.174 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.174 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.174 * [taylor]: Taking taylor expansion of re in re 0.174 * [backup-simplify]: Simplify 0 into 0 0.174 * [backup-simplify]: Simplify 1 into 1 0.174 * [backup-simplify]: Simplify (* 1 1) into 1 0.175 * [backup-simplify]: Simplify (/ 1 1) into 1 0.175 * [backup-simplify]: Simplify (+ 0 1) into 1 0.175 * [backup-simplify]: Simplify (sqrt 1) into 1 0.175 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.176 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.176 * [backup-simplify]: Simplify (+ 0 0) into 0 0.176 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.176 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.176 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.177 * [taylor]: Taking taylor expansion of im in re 0.177 * [backup-simplify]: Simplify im into im 0.177 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.177 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.177 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.177 * [taylor]: Taking taylor expansion of (pow re 2) in re 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 (* 1 1) into 1 0.177 * [backup-simplify]: Simplify (/ 1 1) into 1 0.178 * [backup-simplify]: Simplify (+ 0 1) into 1 0.178 * [backup-simplify]: Simplify (sqrt 1) into 1 0.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.179 * [backup-simplify]: Simplify (+ 0 0) into 0 0.179 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.180 * [taylor]: Taking taylor expansion of 1 in im 0.180 * [backup-simplify]: Simplify 1 into 1 0.180 * [taylor]: Taking taylor expansion of 0 in im 0.180 * [backup-simplify]: Simplify 0 into 0 0.180 * [backup-simplify]: Simplify 1 into 1 0.181 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.182 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.182 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.183 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.183 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 0.183 * [taylor]: Taking taylor expansion of 1/2 in im 0.184 * [backup-simplify]: Simplify 1/2 into 1/2 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 0.184 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 0.185 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.186 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify 0 into 0 0.186 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.187 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.188 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.189 * [backup-simplify]: Simplify (+ 0 0) into 0 0.190 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.190 * [taylor]: Taking taylor expansion of 0 in im 0.190 * [backup-simplify]: Simplify 0 into 0 0.191 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.192 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify 0 into 0 0.192 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 0.192 * * * * [progress]: [ 2 / 3 ] generating series at (2 2 1 2) 0.192 * [backup-simplify]: Simplify (+ (sqrt (+ (* re re) (* im im))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 0.192 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 0.192 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 0.192 * [taylor]: Taking taylor expansion of re in im 0.192 * [backup-simplify]: Simplify re into re 0.192 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 0.192 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.192 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.192 * [taylor]: Taking taylor expansion of re in im 0.192 * [backup-simplify]: Simplify re into re 0.193 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.193 * [taylor]: Taking taylor expansion of im in im 0.193 * [backup-simplify]: Simplify 0 into 0 0.193 * [backup-simplify]: Simplify 1 into 1 0.193 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.193 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 0.193 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 0.193 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 0.194 * [backup-simplify]: Simplify (+ 0 0) into 0 0.194 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 0.194 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.194 * [taylor]: Taking taylor expansion of re in re 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.194 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.194 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.194 * [taylor]: Taking taylor expansion of re in re 0.194 * [backup-simplify]: Simplify 0 into 0 0.194 * [backup-simplify]: Simplify 1 into 1 0.194 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.194 * [taylor]: Taking taylor expansion of im in re 0.194 * [backup-simplify]: Simplify im into im 0.194 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.194 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.195 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.195 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.195 * [backup-simplify]: Simplify (+ 0 0) into 0 0.195 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.195 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 0.195 * [taylor]: Taking taylor expansion of re in re 0.195 * [backup-simplify]: Simplify 0 into 0 0.195 * [backup-simplify]: Simplify 1 into 1 0.195 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 0.195 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.195 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.196 * [taylor]: Taking taylor expansion of re in re 0.196 * [backup-simplify]: Simplify 0 into 0 0.196 * [backup-simplify]: Simplify 1 into 1 0.196 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.196 * [taylor]: Taking taylor expansion of im in re 0.196 * [backup-simplify]: Simplify im into im 0.196 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.196 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 0.196 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 0.196 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.197 * [backup-simplify]: Simplify (+ 0 0) into 0 0.197 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 0.197 * [backup-simplify]: Simplify (+ 0 im) into im 0.197 * [taylor]: Taking taylor expansion of im in im 0.197 * [backup-simplify]: Simplify 0 into 0 0.197 * [backup-simplify]: Simplify 1 into 1 0.197 * [backup-simplify]: Simplify 0 into 0 0.198 * [backup-simplify]: Simplify (+ 1 0) into 1 0.198 * [taylor]: Taking taylor expansion of 1 in im 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify 1 into 1 0.198 * [backup-simplify]: Simplify (* 1 1) into 1 0.199 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.199 * [backup-simplify]: Simplify (+ 1 0) into 1 0.200 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 0.200 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 0.200 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 0.200 * [taylor]: Taking taylor expansion of 1/2 in im 0.200 * [backup-simplify]: Simplify 1/2 into 1/2 0.200 * [taylor]: Taking taylor expansion of (/ 1 im) in im 0.200 * [taylor]: Taking taylor expansion of im in im 0.200 * [backup-simplify]: Simplify 0 into 0 0.200 * [backup-simplify]: Simplify 1 into 1 0.200 * [backup-simplify]: Simplify (/ 1 1) into 1 0.201 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.202 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.202 * [backup-simplify]: Simplify 0 into 0 0.203 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.204 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 0.204 * [backup-simplify]: Simplify (+ 0 0) into 0 0.204 * [taylor]: Taking taylor expansion of 0 in im 0.204 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify 0 into 0 0.205 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.206 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.206 * [backup-simplify]: Simplify 0 into 0 0.207 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 0.207 * [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))))) 0.207 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.207 * [taylor]: Taking taylor expansion of re in im 0.207 * [backup-simplify]: Simplify re into re 0.207 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.207 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.207 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.207 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.207 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.207 * [taylor]: Taking taylor expansion of im in im 0.207 * [backup-simplify]: Simplify 0 into 0 0.208 * [backup-simplify]: Simplify 1 into 1 0.208 * [backup-simplify]: Simplify (* 1 1) into 1 0.208 * [backup-simplify]: Simplify (/ 1 1) into 1 0.208 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.208 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.208 * [taylor]: Taking taylor expansion of re in im 0.208 * [backup-simplify]: Simplify re into re 0.208 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.209 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.209 * [backup-simplify]: Simplify (+ 1 0) into 1 0.209 * [backup-simplify]: Simplify (sqrt 1) into 1 0.210 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.211 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.211 * [backup-simplify]: Simplify (+ 0 0) into 0 0.212 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.212 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.212 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.212 * [taylor]: Taking taylor expansion of re in re 0.212 * [backup-simplify]: Simplify 0 into 0 0.212 * [backup-simplify]: Simplify 1 into 1 0.212 * [backup-simplify]: Simplify (/ 1 1) into 1 0.213 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.213 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.213 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.213 * [taylor]: Taking taylor expansion of im in re 0.213 * [backup-simplify]: Simplify im into im 0.213 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.213 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.213 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.213 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.213 * [taylor]: Taking taylor expansion of re in re 0.213 * [backup-simplify]: Simplify 0 into 0 0.213 * [backup-simplify]: Simplify 1 into 1 0.213 * [backup-simplify]: Simplify (* 1 1) into 1 0.220 * [backup-simplify]: Simplify (/ 1 1) into 1 0.221 * [backup-simplify]: Simplify (+ 0 1) into 1 0.222 * [backup-simplify]: Simplify (sqrt 1) into 1 0.222 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.223 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.223 * [backup-simplify]: Simplify (+ 0 0) into 0 0.224 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 0.224 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.224 * [taylor]: Taking taylor expansion of re in re 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.224 * [backup-simplify]: Simplify (/ 1 1) into 1 0.224 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.224 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.224 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.224 * [taylor]: Taking taylor expansion of im in re 0.224 * [backup-simplify]: Simplify im into im 0.224 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.224 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.224 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.224 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.224 * [taylor]: Taking taylor expansion of re in re 0.224 * [backup-simplify]: Simplify 0 into 0 0.224 * [backup-simplify]: Simplify 1 into 1 0.225 * [backup-simplify]: Simplify (* 1 1) into 1 0.225 * [backup-simplify]: Simplify (/ 1 1) into 1 0.225 * [backup-simplify]: Simplify (+ 0 1) into 1 0.225 * [backup-simplify]: Simplify (sqrt 1) into 1 0.226 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.226 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.226 * [backup-simplify]: Simplify (+ 0 0) into 0 0.227 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.227 * [backup-simplify]: Simplify (+ 1 1) into 2 0.227 * [taylor]: Taking taylor expansion of 2 in im 0.227 * [backup-simplify]: Simplify 2 into 2 0.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.228 * [backup-simplify]: Simplify (+ 0 0) into 0 0.228 * [taylor]: Taking taylor expansion of 0 in im 0.228 * [backup-simplify]: Simplify 0 into 0 0.228 * [backup-simplify]: Simplify 2 into 2 0.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.229 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.229 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.230 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.230 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 0.230 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.230 * [taylor]: Taking taylor expansion of 1/2 in im 0.230 * [backup-simplify]: Simplify 1/2 into 1/2 0.230 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.231 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.231 * [taylor]: Taking taylor expansion of im in im 0.231 * [backup-simplify]: Simplify 0 into 0 0.231 * [backup-simplify]: Simplify 1 into 1 0.231 * [backup-simplify]: Simplify (* 1 1) into 1 0.231 * [backup-simplify]: Simplify (/ 1 1) into 1 0.231 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.232 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.232 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.232 * [backup-simplify]: Simplify 0 into 0 0.233 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.233 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.233 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.234 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.234 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.235 * [backup-simplify]: Simplify (+ 0 0) into 0 0.235 * [taylor]: Taking taylor expansion of 0 in im 0.235 * [backup-simplify]: Simplify 0 into 0 0.236 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.237 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 0.237 * [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)) 0.237 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 0.237 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 0.237 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 0.237 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.237 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.237 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.237 * [taylor]: Taking taylor expansion of im in im 0.237 * [backup-simplify]: Simplify 0 into 0 0.237 * [backup-simplify]: Simplify 1 into 1 0.238 * [backup-simplify]: Simplify (* 1 1) into 1 0.238 * [backup-simplify]: Simplify (/ 1 1) into 1 0.238 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.238 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.238 * [taylor]: Taking taylor expansion of re in im 0.238 * [backup-simplify]: Simplify re into re 0.238 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.238 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.238 * [backup-simplify]: Simplify (+ 1 0) into 1 0.239 * [backup-simplify]: Simplify (sqrt 1) into 1 0.239 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.240 * [backup-simplify]: Simplify (+ 0 0) into 0 0.240 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.240 * [taylor]: Taking taylor expansion of (/ 1 re) in im 0.240 * [taylor]: Taking taylor expansion of re in im 0.240 * [backup-simplify]: Simplify re into re 0.240 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 0.240 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.240 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.240 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.240 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.240 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.240 * [taylor]: Taking taylor expansion of im in re 0.240 * [backup-simplify]: Simplify im into im 0.240 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.241 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.241 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.241 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.241 * [taylor]: Taking taylor expansion of re in re 0.241 * [backup-simplify]: Simplify 0 into 0 0.241 * [backup-simplify]: Simplify 1 into 1 0.241 * [backup-simplify]: Simplify (* 1 1) into 1 0.241 * [backup-simplify]: Simplify (/ 1 1) into 1 0.241 * [backup-simplify]: Simplify (+ 0 1) into 1 0.242 * [backup-simplify]: Simplify (sqrt 1) into 1 0.242 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.243 * [backup-simplify]: Simplify (+ 0 0) into 0 0.243 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.243 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.243 * [taylor]: Taking taylor expansion of re in re 0.243 * [backup-simplify]: Simplify 0 into 0 0.243 * [backup-simplify]: Simplify 1 into 1 0.243 * [backup-simplify]: Simplify (/ 1 1) into 1 0.243 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 0.243 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 0.244 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.244 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.244 * [taylor]: Taking taylor expansion of im in re 0.244 * [backup-simplify]: Simplify im into im 0.244 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.244 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.244 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.244 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.244 * [taylor]: Taking taylor expansion of re in re 0.244 * [backup-simplify]: Simplify 0 into 0 0.244 * [backup-simplify]: Simplify 1 into 1 0.244 * [backup-simplify]: Simplify (* 1 1) into 1 0.244 * [backup-simplify]: Simplify (/ 1 1) into 1 0.245 * [backup-simplify]: Simplify (+ 0 1) into 1 0.245 * [backup-simplify]: Simplify (sqrt 1) into 1 0.245 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.246 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.246 * [backup-simplify]: Simplify (+ 0 0) into 0 0.246 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 0.246 * [taylor]: Taking taylor expansion of (/ 1 re) in re 0.246 * [taylor]: Taking taylor expansion of re in re 0.246 * [backup-simplify]: Simplify 0 into 0 0.246 * [backup-simplify]: Simplify 1 into 1 0.246 * [backup-simplify]: Simplify (/ 1 1) into 1 0.247 * [backup-simplify]: Simplify (- 1) into -1 0.247 * [backup-simplify]: Simplify (+ 1 -1) into 0 0.247 * [taylor]: Taking taylor expansion of 0 in im 0.247 * [backup-simplify]: Simplify 0 into 0 0.247 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.248 * [backup-simplify]: Simplify (- 0) into 0 0.248 * [backup-simplify]: Simplify (+ 0 0) into 0 0.248 * [taylor]: Taking taylor expansion of 0 in im 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify 0 into 0 0.248 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.249 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.249 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.250 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 0.250 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.251 * [backup-simplify]: Simplify (- 0) into 0 0.251 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 0.251 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 0.251 * [taylor]: Taking taylor expansion of 1/2 in im 0.251 * [backup-simplify]: Simplify 1/2 into 1/2 0.251 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.251 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.251 * [taylor]: Taking taylor expansion of im in im 0.251 * [backup-simplify]: Simplify 0 into 0 0.251 * [backup-simplify]: Simplify 1 into 1 0.251 * [backup-simplify]: Simplify (* 1 1) into 1 0.251 * [backup-simplify]: Simplify (/ 1 1) into 1 0.252 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.252 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.253 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify 0 into 0 0.253 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.253 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.254 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.254 * [backup-simplify]: Simplify (+ 0 0) into 0 0.255 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 0.256 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.256 * [backup-simplify]: Simplify (- 0) into 0 0.256 * [backup-simplify]: Simplify (+ 0 0) into 0 0.256 * [taylor]: Taking taylor expansion of 0 in im 0.256 * [backup-simplify]: Simplify 0 into 0 0.257 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.258 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.259 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * [backup-simplify]: Simplify 0 into 0 0.259 * * * * [progress]: [ 3 / 3 ] generating series at (2 2 1 2 1 1) 0.260 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 0.260 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 0.260 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 0.260 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.260 * [taylor]: Taking taylor expansion of re in im 0.260 * [backup-simplify]: Simplify re into re 0.260 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.260 * [taylor]: Taking taylor expansion of im in im 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.260 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.260 * [taylor]: Taking taylor expansion of re in re 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.260 * [taylor]: Taking taylor expansion of im in re 0.260 * [backup-simplify]: Simplify im into im 0.260 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 0.260 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.260 * [taylor]: Taking taylor expansion of re in re 0.260 * [backup-simplify]: Simplify 0 into 0 0.260 * [backup-simplify]: Simplify 1 into 1 0.260 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.260 * [taylor]: Taking taylor expansion of im in re 0.260 * [backup-simplify]: Simplify im into im 0.261 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.261 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 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 0.261 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.261 * [backup-simplify]: Simplify (+ 0 0) into 0 0.261 * [taylor]: Taking taylor expansion of 0 in im 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify 0 into 0 0.262 * [backup-simplify]: Simplify (* 1 1) into 1 0.262 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.263 * [backup-simplify]: Simplify (+ 1 0) into 1 0.263 * [taylor]: Taking taylor expansion of 1 in im 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify 1 into 1 0.263 * [backup-simplify]: Simplify 0 into 0 0.264 * [backup-simplify]: Simplify (* 1 1) into 1 0.264 * [backup-simplify]: Simplify 1 into 1 0.264 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.265 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 0.266 * [backup-simplify]: Simplify (+ 0 0) into 0 0.266 * [taylor]: Taking taylor expansion of 0 in im 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.266 * [backup-simplify]: Simplify 0 into 0 0.267 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.267 * [backup-simplify]: Simplify 0 into 0 0.268 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.269 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 0.269 * [backup-simplify]: Simplify (+ 0 0) into 0 0.269 * [taylor]: Taking taylor expansion of 0 in im 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.269 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 0.270 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.270 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.270 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.270 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.270 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.270 * [taylor]: Taking taylor expansion of im in im 0.270 * [backup-simplify]: Simplify 0 into 0 0.270 * [backup-simplify]: Simplify 1 into 1 0.271 * [backup-simplify]: Simplify (* 1 1) into 1 0.271 * [backup-simplify]: Simplify (/ 1 1) into 1 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.271 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.271 * [taylor]: Taking taylor expansion of re in im 0.271 * [backup-simplify]: Simplify re into re 0.271 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.272 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.272 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.272 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.272 * [taylor]: Taking taylor expansion of im in re 0.272 * [backup-simplify]: Simplify im into im 0.272 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.272 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.272 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.272 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.272 * [taylor]: Taking taylor expansion of re in re 0.272 * [backup-simplify]: Simplify 0 into 0 0.272 * [backup-simplify]: Simplify 1 into 1 0.273 * [backup-simplify]: Simplify (* 1 1) into 1 0.273 * [backup-simplify]: Simplify (/ 1 1) into 1 0.273 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.273 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.273 * [taylor]: Taking taylor expansion of im in re 0.273 * [backup-simplify]: Simplify im into im 0.273 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.273 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.273 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.273 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.273 * [taylor]: Taking taylor expansion of re in re 0.273 * [backup-simplify]: Simplify 0 into 0 0.274 * [backup-simplify]: Simplify 1 into 1 0.274 * [backup-simplify]: Simplify (* 1 1) into 1 0.274 * [backup-simplify]: Simplify (/ 1 1) into 1 0.275 * [backup-simplify]: Simplify (+ 0 1) into 1 0.275 * [taylor]: Taking taylor expansion of 1 in im 0.275 * [backup-simplify]: Simplify 1 into 1 0.275 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.276 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.277 * [backup-simplify]: Simplify (+ 0 0) into 0 0.277 * [taylor]: Taking taylor expansion of 0 in im 0.277 * [backup-simplify]: Simplify 0 into 0 0.278 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.279 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.279 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.279 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.279 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.279 * [taylor]: Taking taylor expansion of im in im 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 0.280 * [backup-simplify]: Simplify (/ 1 1) into 1 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify 1 into 1 0.280 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.280 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.281 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.282 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.283 * [backup-simplify]: Simplify (+ 0 0) into 0 0.283 * [taylor]: Taking taylor expansion of 0 in im 0.283 * [backup-simplify]: Simplify 0 into 0 0.283 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify 0 into 0 0.284 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.284 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.285 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.285 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.286 * [backup-simplify]: Simplify (+ 0 0) into 0 0.286 * [taylor]: Taking taylor expansion of 0 in im 0.286 * [backup-simplify]: Simplify 0 into 0 0.286 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.287 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.287 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 0.287 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 0.287 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 0.287 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.287 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.287 * [taylor]: Taking taylor expansion of im in im 0.287 * [backup-simplify]: Simplify 0 into 0 0.287 * [backup-simplify]: Simplify 1 into 1 0.288 * [backup-simplify]: Simplify (* 1 1) into 1 0.288 * [backup-simplify]: Simplify (/ 1 1) into 1 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 0.288 * [taylor]: Taking taylor expansion of (pow re 2) in im 0.288 * [taylor]: Taking taylor expansion of re in im 0.288 * [backup-simplify]: Simplify re into re 0.288 * [backup-simplify]: Simplify (* re re) into (pow re 2) 0.288 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 0.288 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.288 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.288 * [taylor]: Taking taylor expansion of im in re 0.288 * [backup-simplify]: Simplify im into im 0.288 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.288 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.288 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.288 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.288 * [taylor]: Taking taylor expansion of re in re 0.288 * [backup-simplify]: Simplify 0 into 0 0.288 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.289 * [backup-simplify]: Simplify (/ 1 1) into 1 0.289 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 0.289 * [taylor]: Taking taylor expansion of (pow im 2) in re 0.289 * [taylor]: Taking taylor expansion of im in re 0.289 * [backup-simplify]: Simplify im into im 0.289 * [backup-simplify]: Simplify (* im im) into (pow im 2) 0.289 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 0.289 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 0.289 * [taylor]: Taking taylor expansion of (pow re 2) in re 0.289 * [taylor]: Taking taylor expansion of re in re 0.289 * [backup-simplify]: Simplify 0 into 0 0.289 * [backup-simplify]: Simplify 1 into 1 0.289 * [backup-simplify]: Simplify (* 1 1) into 1 0.290 * [backup-simplify]: Simplify (/ 1 1) into 1 0.290 * [backup-simplify]: Simplify (+ 0 1) into 1 0.290 * [taylor]: Taking taylor expansion of 1 in im 0.290 * [backup-simplify]: Simplify 1 into 1 0.290 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.291 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.291 * [backup-simplify]: Simplify (+ 0 0) into 0 0.291 * [taylor]: Taking taylor expansion of 0 in im 0.291 * [backup-simplify]: Simplify 0 into 0 0.292 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.292 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.293 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 0.293 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 0.293 * [taylor]: Taking taylor expansion of (pow im 2) in im 0.293 * [taylor]: Taking taylor expansion of im in im 0.293 * [backup-simplify]: Simplify 0 into 0 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (* 1 1) into 1 0.293 * [backup-simplify]: Simplify (/ 1 1) into 1 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify 1 into 1 0.293 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 0.293 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 0.294 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 0.294 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.295 * [backup-simplify]: Simplify (+ 0 0) into 0 0.295 * [taylor]: Taking taylor expansion of 0 in im 0.295 * [backup-simplify]: Simplify 0 into 0 0.295 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify 0 into 0 0.296 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 0.296 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 0.297 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 0.297 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.298 * [backup-simplify]: Simplify (+ 0 0) into 0 0.298 * [taylor]: Taking taylor expansion of 0 in im 0.298 * [backup-simplify]: Simplify 0 into 0 0.298 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 0.299 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify 0 into 0 0.299 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 0.299 * * * [progress]: simplifying candidates 0.300 * [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))) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 0.301 * * [simplify]: Extracting # 0 : cost 0 0.301 * * [simplify]: Extracting # 1 : cost 0 0.301 * * [simplify]: Extracting # 2 : cost 0 0.301 * * [simplify]: Extracting # 3 : cost 0 0.301 * * [simplify]: Extracting # 4 : cost 0 0.301 * * [simplify]: Extracting # 5 : cost 0 0.301 * * [simplify]: iteration 0 : 69 enodes (cost 595 ) 0.315 * * [simplify]: Extracting # 0 : cost 0 0.315 * * [simplify]: Extracting # 1 : cost 0 0.316 * * [simplify]: Extracting # 2 : cost 0 0.317 * * [simplify]: Extracting # 3 : cost 0 0.317 * * [simplify]: Extracting # 4 : cost 0 0.318 * * [simplify]: iteration 1 : 196 enodes (cost 534 ) 0.500 * * [simplify]: Extracting # 0 : cost 0 0.502 * * [simplify]: Extracting # 1 : cost 0 0.505 * * [simplify]: Extracting # 2 : cost 0 0.507 * * [simplify]: Extracting # 3 : cost 0 0.510 * * [simplify]: Extracting # 4 : cost 0 0.512 * * [simplify]: iteration 2 : 1003 enodes (cost 468 ) 0.894 * * [simplify]: Extracting # 0 : cost 0 0.914 * * [simplify]: Extracting # 1 : cost 0 0.929 * * [simplify]: Extracting # 2 : cost 0 0.943 * * [simplify]: Extracting # 3 : cost 0 0.957 * * [simplify]: Extracting # 4 : cost 0 0.971 * * [simplify]: iteration done: 5000 enodes (cost 460 ) 0.971 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (log (+ (sqrt (+ (* re re) (* im im))) re)) (exp (+ (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (cbrt (+ (sqrt (+ (* re re) (* im im))) re))) (cbrt (+ (sqrt (+ (* re re) (* im im))) re)) (pow (+ (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (sqrt (+ (sqrt (+ (* re re) (* im im))) re)) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* re (+ (- re (sqrt (+ (* re re) (* im im)))) re)) (* im im)) (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (+ (* re re) (* im im))) re) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* re re) (* im im)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (+ re im) (* 2 re) 0 (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 0.972 * * * [progress]: adding candidates to table 1.137 * * [progress]: iteration 2 / 4 1.137 * * * [progress]: picking best candidate 1.146 * * * * [pick]: Picked # 1.146 * * * [progress]: localizing error 1.171 * * * [progress]: generating rewritten candidates 1.172 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 1 1 1) 1.188 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 1.261 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 1) 1.284 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 1 1 1 1) 1.303 * * * [progress]: generating series expansions 1.303 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 1 1 1) 1.304 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 1.304 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.304 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.304 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.304 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.304 * [taylor]: Taking taylor expansion of re in im 1.304 * [backup-simplify]: Simplify re into re 1.304 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.304 * [taylor]: Taking taylor expansion of im in im 1.304 * [backup-simplify]: Simplify 0 into 0 1.304 * [backup-simplify]: Simplify 1 into 1 1.304 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.304 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.304 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.305 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.305 * [backup-simplify]: Simplify (+ 0 0) into 0 1.305 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.306 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.306 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.306 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.306 * [taylor]: Taking taylor expansion of re in re 1.306 * [backup-simplify]: Simplify 0 into 0 1.306 * [backup-simplify]: Simplify 1 into 1 1.306 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.306 * [taylor]: Taking taylor expansion of im in re 1.306 * [backup-simplify]: Simplify im into im 1.306 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.306 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.306 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.306 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.307 * [backup-simplify]: Simplify (+ 0 0) into 0 1.307 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.307 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.307 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.307 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.307 * [taylor]: Taking taylor expansion of re in re 1.307 * [backup-simplify]: Simplify 0 into 0 1.307 * [backup-simplify]: Simplify 1 into 1 1.307 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.307 * [taylor]: Taking taylor expansion of im in re 1.307 * [backup-simplify]: Simplify im into im 1.307 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.307 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.307 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.307 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.308 * [backup-simplify]: Simplify (+ 0 0) into 0 1.308 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.308 * [taylor]: Taking taylor expansion of im in im 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [taylor]: Taking taylor expansion of 0 in im 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 0 into 0 1.308 * [backup-simplify]: Simplify 1 into 1 1.308 * [backup-simplify]: Simplify (* 1 1) into 1 1.308 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.309 * [backup-simplify]: Simplify (+ 1 0) into 1 1.309 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.309 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.309 * [taylor]: Taking taylor expansion of 1/2 in im 1.309 * [backup-simplify]: Simplify 1/2 into 1/2 1.309 * [taylor]: Taking taylor expansion of im in im 1.309 * [backup-simplify]: Simplify 0 into 0 1.309 * [backup-simplify]: Simplify 1 into 1 1.310 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.310 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.310 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.311 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.311 * [backup-simplify]: Simplify (+ 0 0) into 0 1.311 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.311 * [taylor]: Taking taylor expansion of 0 in im 1.311 * [backup-simplify]: Simplify 0 into 0 1.311 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.312 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.312 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.312 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.312 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.312 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.312 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.312 * [taylor]: Taking taylor expansion of im in im 1.312 * [backup-simplify]: Simplify 0 into 0 1.312 * [backup-simplify]: Simplify 1 into 1 1.313 * [backup-simplify]: Simplify (* 1 1) into 1 1.313 * [backup-simplify]: Simplify (/ 1 1) into 1 1.313 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.313 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.313 * [taylor]: Taking taylor expansion of re in im 1.313 * [backup-simplify]: Simplify re into re 1.313 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.313 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.313 * [backup-simplify]: Simplify (+ 1 0) into 1 1.314 * [backup-simplify]: Simplify (sqrt 1) into 1 1.314 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.314 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.315 * [backup-simplify]: Simplify (+ 0 0) into 0 1.315 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.315 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.315 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.315 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.315 * [taylor]: Taking taylor expansion of im in re 1.315 * [backup-simplify]: Simplify im into im 1.315 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.315 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.315 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.315 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.315 * [taylor]: Taking taylor expansion of re in re 1.315 * [backup-simplify]: Simplify 0 into 0 1.315 * [backup-simplify]: Simplify 1 into 1 1.316 * [backup-simplify]: Simplify (* 1 1) into 1 1.316 * [backup-simplify]: Simplify (/ 1 1) into 1 1.316 * [backup-simplify]: Simplify (+ 0 1) into 1 1.316 * [backup-simplify]: Simplify (sqrt 1) into 1 1.317 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.317 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.317 * [backup-simplify]: Simplify (+ 0 0) into 0 1.318 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.318 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.318 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.318 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.318 * [taylor]: Taking taylor expansion of im in re 1.318 * [backup-simplify]: Simplify im into im 1.318 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.318 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.318 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.318 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.318 * [taylor]: Taking taylor expansion of re in re 1.318 * [backup-simplify]: Simplify 0 into 0 1.318 * [backup-simplify]: Simplify 1 into 1 1.319 * [backup-simplify]: Simplify (* 1 1) into 1 1.319 * [backup-simplify]: Simplify (/ 1 1) into 1 1.319 * [backup-simplify]: Simplify (+ 0 1) into 1 1.319 * [backup-simplify]: Simplify (sqrt 1) into 1 1.320 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.320 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.320 * [backup-simplify]: Simplify (+ 0 0) into 0 1.321 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.321 * [taylor]: Taking taylor expansion of 1 in im 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [taylor]: Taking taylor expansion of 0 in im 1.321 * [backup-simplify]: Simplify 0 into 0 1.321 * [backup-simplify]: Simplify 1 into 1 1.321 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.322 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.322 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.323 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.323 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.323 * [taylor]: Taking taylor expansion of 1/2 in im 1.323 * [backup-simplify]: Simplify 1/2 into 1/2 1.323 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.323 * [taylor]: Taking taylor expansion of im in im 1.323 * [backup-simplify]: Simplify 0 into 0 1.323 * [backup-simplify]: Simplify 1 into 1 1.323 * [backup-simplify]: Simplify (* 1 1) into 1 1.323 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.324 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.324 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify 0 into 0 1.324 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.325 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.325 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.326 * [backup-simplify]: Simplify (+ 0 0) into 0 1.326 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.326 * [taylor]: Taking taylor expansion of 0 in im 1.326 * [backup-simplify]: Simplify 0 into 0 1.327 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.327 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.327 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.328 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.328 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.328 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.328 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.328 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.328 * [taylor]: Taking taylor expansion of im in im 1.328 * [backup-simplify]: Simplify 0 into 0 1.328 * [backup-simplify]: Simplify 1 into 1 1.328 * [backup-simplify]: Simplify (* 1 1) into 1 1.328 * [backup-simplify]: Simplify (/ 1 1) into 1 1.328 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.329 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.329 * [taylor]: Taking taylor expansion of re in im 1.329 * [backup-simplify]: Simplify re into re 1.329 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.329 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.329 * [backup-simplify]: Simplify (+ 1 0) into 1 1.329 * [backup-simplify]: Simplify (sqrt 1) into 1 1.330 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.330 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.330 * [backup-simplify]: Simplify (+ 0 0) into 0 1.331 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.331 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.331 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.331 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.331 * [taylor]: Taking taylor expansion of im in re 1.331 * [backup-simplify]: Simplify im into im 1.331 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.331 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.331 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.331 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.331 * [taylor]: Taking taylor expansion of re in re 1.331 * [backup-simplify]: Simplify 0 into 0 1.331 * [backup-simplify]: Simplify 1 into 1 1.331 * [backup-simplify]: Simplify (* 1 1) into 1 1.332 * [backup-simplify]: Simplify (/ 1 1) into 1 1.332 * [backup-simplify]: Simplify (+ 0 1) into 1 1.332 * [backup-simplify]: Simplify (sqrt 1) into 1 1.333 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.333 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.333 * [backup-simplify]: Simplify (+ 0 0) into 0 1.334 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.334 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.334 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.334 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.334 * [taylor]: Taking taylor expansion of im in re 1.334 * [backup-simplify]: Simplify im into im 1.334 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.334 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.334 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.334 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.334 * [taylor]: Taking taylor expansion of re in re 1.334 * [backup-simplify]: Simplify 0 into 0 1.334 * [backup-simplify]: Simplify 1 into 1 1.334 * [backup-simplify]: Simplify (* 1 1) into 1 1.334 * [backup-simplify]: Simplify (/ 1 1) into 1 1.335 * [backup-simplify]: Simplify (+ 0 1) into 1 1.335 * [backup-simplify]: Simplify (sqrt 1) into 1 1.336 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.336 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.337 * [backup-simplify]: Simplify (+ 0 0) into 0 1.337 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.338 * [taylor]: Taking taylor expansion of 1 in im 1.338 * [backup-simplify]: Simplify 1 into 1 1.338 * [taylor]: Taking taylor expansion of 0 in im 1.338 * [backup-simplify]: Simplify 0 into 0 1.338 * [backup-simplify]: Simplify 1 into 1 1.339 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.340 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.340 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.341 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.341 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.341 * [taylor]: Taking taylor expansion of 1/2 in im 1.341 * [backup-simplify]: Simplify 1/2 into 1/2 1.341 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.341 * [taylor]: Taking taylor expansion of im in im 1.341 * [backup-simplify]: Simplify 0 into 0 1.341 * [backup-simplify]: Simplify 1 into 1 1.342 * [backup-simplify]: Simplify (* 1 1) into 1 1.342 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.343 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.344 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify 0 into 0 1.344 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.345 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.346 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.352 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.353 * [backup-simplify]: Simplify (+ 0 0) into 0 1.353 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.353 * [taylor]: Taking taylor expansion of 0 in im 1.353 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.354 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify 0 into 0 1.354 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.355 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.355 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) into (+ re (sqrt (+ (pow re 2) (pow im 2)))) 1.355 * [approximate]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in (re im) around 0 1.355 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in im 1.355 * [taylor]: Taking taylor expansion of re in im 1.355 * [backup-simplify]: Simplify re into re 1.355 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.355 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.355 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.355 * [taylor]: Taking taylor expansion of re in im 1.355 * [backup-simplify]: Simplify re into re 1.355 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.355 * [taylor]: Taking taylor expansion of im in im 1.355 * [backup-simplify]: Simplify 0 into 0 1.355 * [backup-simplify]: Simplify 1 into 1 1.355 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.355 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.355 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.355 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.356 * [backup-simplify]: Simplify (+ 0 0) into 0 1.356 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.356 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.356 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.356 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.356 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.356 * [taylor]: Taking taylor expansion of re in re 1.356 * [backup-simplify]: Simplify 0 into 0 1.356 * [backup-simplify]: Simplify 1 into 1 1.356 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.356 * [taylor]: Taking taylor expansion of im in re 1.356 * [backup-simplify]: Simplify im into im 1.356 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.356 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.356 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.356 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.356 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.357 * [taylor]: Taking taylor expansion of (+ re (sqrt (+ (pow re 2) (pow im 2)))) in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.357 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.357 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.357 * [taylor]: Taking taylor expansion of re in re 1.357 * [backup-simplify]: Simplify 0 into 0 1.357 * [backup-simplify]: Simplify 1 into 1 1.357 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.357 * [taylor]: Taking taylor expansion of im in re 1.357 * [backup-simplify]: Simplify im into im 1.357 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.357 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.357 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.357 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.357 * [backup-simplify]: Simplify (+ 0 0) into 0 1.357 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.358 * [backup-simplify]: Simplify (+ 0 im) into im 1.358 * [taylor]: Taking taylor expansion of im in im 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify 0 into 0 1.358 * [backup-simplify]: Simplify (+ 1 0) into 1 1.358 * [taylor]: Taking taylor expansion of 1 in im 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify 1 into 1 1.358 * [backup-simplify]: Simplify (* 1 1) into 1 1.359 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.359 * [backup-simplify]: Simplify (+ 1 0) into 1 1.359 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.359 * [backup-simplify]: Simplify (+ 0 (/ 1/2 im)) into (* 1/2 (/ 1 im)) 1.359 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 1.359 * [taylor]: Taking taylor expansion of 1/2 in im 1.359 * [backup-simplify]: Simplify 1/2 into 1/2 1.359 * [taylor]: Taking taylor expansion of (/ 1 im) in im 1.359 * [taylor]: Taking taylor expansion of im in im 1.359 * [backup-simplify]: Simplify 0 into 0 1.359 * [backup-simplify]: Simplify 1 into 1 1.360 * [backup-simplify]: Simplify (/ 1 1) into 1 1.360 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.360 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify 0 into 0 1.361 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.361 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.362 * [backup-simplify]: Simplify (+ 0 0) into 0 1.362 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.362 * [backup-simplify]: Simplify (+ 0 0) into 0 1.362 * [taylor]: Taking taylor expansion of 0 in im 1.362 * [backup-simplify]: Simplify 0 into 0 1.362 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.363 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify 0 into 0 1.363 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* 1 (* 1 re))) into (+ re im) 1.364 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) (/ 1 re)) into (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) 1.364 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 1.364 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.364 * [taylor]: Taking taylor expansion of re in im 1.364 * [backup-simplify]: Simplify re into re 1.364 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.364 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.364 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.364 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.364 * [taylor]: Taking taylor expansion of im in im 1.364 * [backup-simplify]: Simplify 0 into 0 1.364 * [backup-simplify]: Simplify 1 into 1 1.364 * [backup-simplify]: Simplify (* 1 1) into 1 1.364 * [backup-simplify]: Simplify (/ 1 1) into 1 1.364 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.364 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.364 * [taylor]: Taking taylor expansion of re in im 1.364 * [backup-simplify]: Simplify re into re 1.364 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.365 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.365 * [backup-simplify]: Simplify (+ 1 0) into 1 1.365 * [backup-simplify]: Simplify (sqrt 1) into 1 1.365 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.366 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.366 * [backup-simplify]: Simplify (+ 0 0) into 0 1.366 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.366 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.367 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.367 * [taylor]: Taking taylor expansion of re in re 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (/ 1 1) into 1 1.367 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.367 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.367 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.367 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.367 * [taylor]: Taking taylor expansion of im in re 1.367 * [backup-simplify]: Simplify im into im 1.367 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.367 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.367 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.367 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.367 * [taylor]: Taking taylor expansion of re in re 1.367 * [backup-simplify]: Simplify 0 into 0 1.367 * [backup-simplify]: Simplify 1 into 1 1.367 * [backup-simplify]: Simplify (* 1 1) into 1 1.368 * [backup-simplify]: Simplify (/ 1 1) into 1 1.368 * [backup-simplify]: Simplify (+ 0 1) into 1 1.368 * [backup-simplify]: Simplify (sqrt 1) into 1 1.369 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.369 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.369 * [backup-simplify]: Simplify (+ 0 0) into 0 1.370 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.370 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 1.370 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.370 * [taylor]: Taking taylor expansion of re in re 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.370 * [backup-simplify]: Simplify (/ 1 1) into 1 1.370 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.370 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.370 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.370 * [taylor]: Taking taylor expansion of im in re 1.370 * [backup-simplify]: Simplify im into im 1.370 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.370 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.370 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.370 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.370 * [taylor]: Taking taylor expansion of re in re 1.370 * [backup-simplify]: Simplify 0 into 0 1.370 * [backup-simplify]: Simplify 1 into 1 1.371 * [backup-simplify]: Simplify (* 1 1) into 1 1.371 * [backup-simplify]: Simplify (/ 1 1) into 1 1.371 * [backup-simplify]: Simplify (+ 0 1) into 1 1.371 * [backup-simplify]: Simplify (sqrt 1) into 1 1.372 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.372 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.372 * [backup-simplify]: Simplify (+ 0 0) into 0 1.373 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.373 * [backup-simplify]: Simplify (+ 1 1) into 2 1.373 * [taylor]: Taking taylor expansion of 2 in im 1.373 * [backup-simplify]: Simplify 2 into 2 1.373 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.374 * [backup-simplify]: Simplify (+ 0 0) into 0 1.374 * [taylor]: Taking taylor expansion of 0 in im 1.374 * [backup-simplify]: Simplify 0 into 0 1.374 * [backup-simplify]: Simplify 2 into 2 1.374 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.375 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.375 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.375 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.376 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.376 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 1.376 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.376 * [taylor]: Taking taylor expansion of 1/2 in im 1.376 * [backup-simplify]: Simplify 1/2 into 1/2 1.376 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.376 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.376 * [taylor]: Taking taylor expansion of im in im 1.376 * [backup-simplify]: Simplify 0 into 0 1.376 * [backup-simplify]: Simplify 1 into 1 1.377 * [backup-simplify]: Simplify (* 1 1) into 1 1.377 * [backup-simplify]: Simplify (/ 1 1) into 1 1.377 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.378 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.378 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.378 * [backup-simplify]: Simplify 0 into 0 1.379 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.379 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.379 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.380 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.381 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.382 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.383 * [backup-simplify]: Simplify (+ 0 0) into 0 1.383 * [taylor]: Taking taylor expansion of 0 in im 1.383 * [backup-simplify]: Simplify 0 into 0 1.384 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.385 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.386 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify 0 into 0 1.386 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 re)))) into (* 2 re) 1.387 * [backup-simplify]: Simplify (+ (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) (/ 1 (- re))) into (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) 1.387 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 1.387 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 1.387 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.387 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.387 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.387 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.387 * [taylor]: Taking taylor expansion of im in im 1.387 * [backup-simplify]: Simplify 0 into 0 1.387 * [backup-simplify]: Simplify 1 into 1 1.388 * [backup-simplify]: Simplify (* 1 1) into 1 1.388 * [backup-simplify]: Simplify (/ 1 1) into 1 1.388 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.388 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.388 * [taylor]: Taking taylor expansion of re in im 1.388 * [backup-simplify]: Simplify re into re 1.388 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.388 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.389 * [backup-simplify]: Simplify (+ 1 0) into 1 1.389 * [backup-simplify]: Simplify (sqrt 1) into 1 1.390 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.391 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.391 * [backup-simplify]: Simplify (+ 0 0) into 0 1.392 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.392 * [taylor]: Taking taylor expansion of (/ 1 re) in im 1.392 * [taylor]: Taking taylor expansion of re in im 1.392 * [backup-simplify]: Simplify re into re 1.392 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 1.392 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.392 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.392 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.392 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.392 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.392 * [taylor]: Taking taylor expansion of im in re 1.392 * [backup-simplify]: Simplify im into im 1.392 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.393 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.393 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.393 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.393 * [taylor]: Taking taylor expansion of re in re 1.393 * [backup-simplify]: Simplify 0 into 0 1.393 * [backup-simplify]: Simplify 1 into 1 1.393 * [backup-simplify]: Simplify (* 1 1) into 1 1.393 * [backup-simplify]: Simplify (/ 1 1) into 1 1.394 * [backup-simplify]: Simplify (+ 0 1) into 1 1.394 * [backup-simplify]: Simplify (sqrt 1) into 1 1.395 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.396 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.396 * [backup-simplify]: Simplify (+ 0 0) into 0 1.397 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.397 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.397 * [taylor]: Taking taylor expansion of re in re 1.397 * [backup-simplify]: Simplify 0 into 0 1.397 * [backup-simplify]: Simplify 1 into 1 1.397 * [backup-simplify]: Simplify (/ 1 1) into 1 1.397 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 1.397 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.397 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.397 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.398 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.398 * [taylor]: Taking taylor expansion of im in re 1.398 * [backup-simplify]: Simplify im into im 1.398 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.398 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.398 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.398 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.398 * [taylor]: Taking taylor expansion of re in re 1.398 * [backup-simplify]: Simplify 0 into 0 1.398 * [backup-simplify]: Simplify 1 into 1 1.398 * [backup-simplify]: Simplify (* 1 1) into 1 1.399 * [backup-simplify]: Simplify (/ 1 1) into 1 1.399 * [backup-simplify]: Simplify (+ 0 1) into 1 1.400 * [backup-simplify]: Simplify (sqrt 1) into 1 1.400 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.401 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.401 * [backup-simplify]: Simplify (+ 0 0) into 0 1.402 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.402 * [taylor]: Taking taylor expansion of (/ 1 re) in re 1.402 * [taylor]: Taking taylor expansion of re in re 1.402 * [backup-simplify]: Simplify 0 into 0 1.402 * [backup-simplify]: Simplify 1 into 1 1.402 * [backup-simplify]: Simplify (/ 1 1) into 1 1.403 * [backup-simplify]: Simplify (- 1) into -1 1.403 * [backup-simplify]: Simplify (+ 1 -1) into 0 1.403 * [taylor]: Taking taylor expansion of 0 in im 1.403 * [backup-simplify]: Simplify 0 into 0 1.404 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.405 * [backup-simplify]: Simplify (- 0) into 0 1.405 * [backup-simplify]: Simplify (+ 0 0) into 0 1.405 * [taylor]: Taking taylor expansion of 0 in im 1.405 * [backup-simplify]: Simplify 0 into 0 1.405 * [backup-simplify]: Simplify 0 into 0 1.406 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.407 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.407 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.408 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.409 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.410 * [backup-simplify]: Simplify (- 0) into 0 1.410 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 1.410 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 1.410 * [taylor]: Taking taylor expansion of 1/2 in im 1.410 * [backup-simplify]: Simplify 1/2 into 1/2 1.410 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.410 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.410 * [taylor]: Taking taylor expansion of im in im 1.410 * [backup-simplify]: Simplify 0 into 0 1.410 * [backup-simplify]: Simplify 1 into 1 1.410 * [backup-simplify]: Simplify (* 1 1) into 1 1.411 * [backup-simplify]: Simplify (/ 1 1) into 1 1.411 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.412 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.413 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify 0 into 0 1.413 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.414 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.415 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.416 * [backup-simplify]: Simplify (+ 0 0) into 0 1.417 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.418 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.418 * [backup-simplify]: Simplify (- 0) into 0 1.418 * [backup-simplify]: Simplify (+ 0 0) into 0 1.419 * [taylor]: Taking taylor expansion of 0 in im 1.419 * [backup-simplify]: Simplify 0 into 0 1.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.420 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.421 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.421 * [backup-simplify]: Simplify 0 into 0 1.422 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 1) 1.422 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* re re) (* im im))))) into (sqrt (+ (pow re 2) (pow im 2))) 1.422 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 1.422 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 1.422 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.422 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.422 * [taylor]: Taking taylor expansion of re in im 1.422 * [backup-simplify]: Simplify re into re 1.422 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.422 * [taylor]: Taking taylor expansion of im in im 1.422 * [backup-simplify]: Simplify 0 into 0 1.422 * [backup-simplify]: Simplify 1 into 1 1.422 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.423 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 1.423 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 1.423 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 1.423 * [backup-simplify]: Simplify (+ 0 0) into 0 1.423 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 1.423 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.423 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.423 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.423 * [taylor]: Taking taylor expansion of re in re 1.423 * [backup-simplify]: Simplify 0 into 0 1.424 * [backup-simplify]: Simplify 1 into 1 1.424 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.424 * [taylor]: Taking taylor expansion of im in re 1.424 * [backup-simplify]: Simplify im into im 1.424 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.424 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.424 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.424 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.424 * [backup-simplify]: Simplify (+ 0 0) into 0 1.425 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.425 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 1.425 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.425 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.425 * [taylor]: Taking taylor expansion of re in re 1.425 * [backup-simplify]: Simplify 0 into 0 1.425 * [backup-simplify]: Simplify 1 into 1 1.425 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.425 * [taylor]: Taking taylor expansion of im in re 1.425 * [backup-simplify]: Simplify im into im 1.425 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.425 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 1.425 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 1.425 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.426 * [backup-simplify]: Simplify (+ 0 0) into 0 1.426 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 1.426 * [taylor]: Taking taylor expansion of im in im 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [taylor]: Taking taylor expansion of 0 in im 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 0 into 0 1.426 * [backup-simplify]: Simplify 1 into 1 1.427 * [backup-simplify]: Simplify (* 1 1) into 1 1.427 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.428 * [backup-simplify]: Simplify (+ 1 0) into 1 1.429 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 1.429 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 1.429 * [taylor]: Taking taylor expansion of 1/2 in im 1.429 * [backup-simplify]: Simplify 1/2 into 1/2 1.429 * [taylor]: Taking taylor expansion of im in im 1.429 * [backup-simplify]: Simplify 0 into 0 1.429 * [backup-simplify]: Simplify 1 into 1 1.429 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 0 into 0 1.430 * [backup-simplify]: Simplify 0 into 0 1.431 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.432 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.432 * [backup-simplify]: Simplify (+ 0 0) into 0 1.432 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 1.432 * [taylor]: Taking taylor expansion of 0 in im 1.432 * [backup-simplify]: Simplify 0 into 0 1.432 * [backup-simplify]: Simplify 0 into 0 1.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 1.434 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.434 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 1.434 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 1.434 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.434 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.434 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.434 * [taylor]: Taking taylor expansion of im in im 1.434 * [backup-simplify]: Simplify 0 into 0 1.434 * [backup-simplify]: Simplify 1 into 1 1.435 * [backup-simplify]: Simplify (* 1 1) into 1 1.435 * [backup-simplify]: Simplify (/ 1 1) into 1 1.435 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.435 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.435 * [taylor]: Taking taylor expansion of re in im 1.435 * [backup-simplify]: Simplify re into re 1.435 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.436 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.436 * [backup-simplify]: Simplify (+ 1 0) into 1 1.436 * [backup-simplify]: Simplify (sqrt 1) into 1 1.437 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.438 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.438 * [backup-simplify]: Simplify (+ 0 0) into 0 1.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.439 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.439 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.439 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.439 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.439 * [taylor]: Taking taylor expansion of im in re 1.439 * [backup-simplify]: Simplify im into im 1.439 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.440 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.440 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.440 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.440 * [taylor]: Taking taylor expansion of re in re 1.440 * [backup-simplify]: Simplify 0 into 0 1.440 * [backup-simplify]: Simplify 1 into 1 1.440 * [backup-simplify]: Simplify (* 1 1) into 1 1.441 * [backup-simplify]: Simplify (/ 1 1) into 1 1.441 * [backup-simplify]: Simplify (+ 0 1) into 1 1.442 * [backup-simplify]: Simplify (sqrt 1) into 1 1.442 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.443 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.443 * [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 1.444 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.444 * [taylor]: Taking taylor expansion of im in re 1.444 * [backup-simplify]: Simplify im into im 1.444 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.444 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.444 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.444 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.444 * [taylor]: Taking taylor expansion of re in re 1.444 * [backup-simplify]: Simplify 0 into 0 1.444 * [backup-simplify]: Simplify 1 into 1 1.444 * [backup-simplify]: Simplify (* 1 1) into 1 1.445 * [backup-simplify]: Simplify (/ 1 1) into 1 1.445 * [backup-simplify]: Simplify (+ 0 1) into 1 1.445 * [backup-simplify]: Simplify (sqrt 1) into 1 1.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.446 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.446 * [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 1.447 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.448 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.448 * [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 1.449 * [backup-simplify]: Simplify (* 1 1) into 1 1.449 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.450 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify 0 into 0 1.450 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.450 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.451 * [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 1.452 * [backup-simplify]: Simplify (+ 0 0) into 0 1.452 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.452 * [taylor]: Taking taylor expansion of 0 in im 1.452 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.453 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify 0 into 0 1.453 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 1.454 * [backup-simplify]: Simplify (exp (log (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 1.454 * [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 1.454 * [taylor]: Taking taylor expansion of im in im 1.454 * [backup-simplify]: Simplify 0 into 0 1.454 * [backup-simplify]: Simplify 1 into 1 1.454 * [backup-simplify]: Simplify (* 1 1) into 1 1.454 * [backup-simplify]: Simplify (/ 1 1) into 1 1.454 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.454 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.454 * [taylor]: Taking taylor expansion of re in im 1.454 * [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)) 1.455 * [backup-simplify]: Simplify (+ 1 0) into 1 1.455 * [backup-simplify]: Simplify (sqrt 1) into 1 1.456 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.456 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.456 * [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 1.457 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.457 * [taylor]: Taking taylor expansion of re in re 1.457 * [backup-simplify]: Simplify 0 into 0 1.457 * [backup-simplify]: Simplify 1 into 1 1.457 * [backup-simplify]: Simplify (* 1 1) into 1 1.457 * [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 1.458 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.459 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.459 * [backup-simplify]: Simplify (+ 0 0) into 0 1.459 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.459 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 1.459 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.459 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.459 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.459 * [taylor]: Taking taylor expansion of im in re 1.459 * [backup-simplify]: Simplify im into im 1.459 * [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 1.460 * [backup-simplify]: Simplify (* 1 1) into 1 1.460 * [backup-simplify]: Simplify (/ 1 1) into 1 1.460 * [backup-simplify]: Simplify (+ 0 1) into 1 1.461 * [backup-simplify]: Simplify (sqrt 1) into 1 1.461 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.461 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.462 * [backup-simplify]: Simplify (+ 0 0) into 0 1.462 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 1.462 * [taylor]: Taking taylor expansion of 1 in im 1.462 * [backup-simplify]: Simplify 1 into 1 1.462 * [taylor]: Taking taylor expansion of 0 in im 1.462 * [backup-simplify]: Simplify 0 into 0 1.462 * [backup-simplify]: Simplify 1 into 1 1.463 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.463 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.463 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 1.464 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 1.464 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 1.464 * [taylor]: Taking taylor expansion of 1/2 in im 1.464 * [backup-simplify]: Simplify 1/2 into 1/2 1.464 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.464 * [taylor]: Taking taylor expansion of im in im 1.464 * [backup-simplify]: Simplify 0 into 0 1.464 * [backup-simplify]: Simplify 1 into 1 1.465 * [backup-simplify]: Simplify (* 1 1) into 1 1.465 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 1.465 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.466 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify 0 into 0 1.466 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.466 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.467 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.467 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.467 * [backup-simplify]: Simplify (+ 0 0) into 0 1.468 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 1.468 * [taylor]: Taking taylor expansion of 0 in im 1.468 * [backup-simplify]: Simplify 0 into 0 1.468 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.469 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify 0 into 0 1.469 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 1.469 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 1 1 1 1) 1.469 * [backup-simplify]: Simplify (+ (* re re) (* im im)) into (+ (pow re 2) (pow im 2)) 1.469 * [approximate]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in (re im) around 0 1.469 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 1.469 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.469 * [taylor]: Taking taylor expansion of re in im 1.469 * [backup-simplify]: Simplify re into re 1.469 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.469 * [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 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.470 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.470 * [taylor]: Taking taylor expansion of re in re 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.470 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.470 * [taylor]: Taking taylor expansion of im in re 1.470 * [backup-simplify]: Simplify im into im 1.470 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 1.470 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.470 * [taylor]: Taking taylor expansion of re in re 1.470 * [backup-simplify]: Simplify 0 into 0 1.470 * [backup-simplify]: Simplify 1 into 1 1.470 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.470 * [taylor]: Taking taylor expansion of im in re 1.470 * [backup-simplify]: Simplify im into im 1.470 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.470 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 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 (+ (* im 0) (* 0 im)) into 0 1.477 * [backup-simplify]: Simplify (+ 0 0) into 0 1.477 * [taylor]: Taking taylor expansion of 0 in im 1.477 * [backup-simplify]: Simplify 0 into 0 1.477 * [backup-simplify]: Simplify 0 into 0 1.478 * [backup-simplify]: Simplify (* 1 1) into 1 1.478 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.479 * [backup-simplify]: Simplify (+ 1 0) into 1 1.479 * [taylor]: Taking taylor expansion of 1 in im 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [backup-simplify]: Simplify 1 into 1 1.479 * [backup-simplify]: Simplify 0 into 0 1.479 * [backup-simplify]: Simplify (* 1 1) into 1 1.479 * [backup-simplify]: Simplify 1 into 1 1.480 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.481 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 1.481 * [backup-simplify]: Simplify (+ 0 0) into 0 1.481 * [taylor]: Taking taylor expansion of 0 in im 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.481 * [backup-simplify]: Simplify 0 into 0 1.482 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.482 * [backup-simplify]: Simplify 0 into 0 1.483 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.484 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 im))))) into 0 1.485 * [backup-simplify]: Simplify (+ 0 0) into 0 1.485 * [taylor]: Taking taylor expansion of 0 in im 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify 0 into 0 1.485 * [backup-simplify]: Simplify (+ (* 1 (pow (* im 1) 2)) (* 1 (pow (* 1 re) 2))) into (+ (pow re 2) (pow im 2)) 1.486 * [backup-simplify]: Simplify (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1.486 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 1.486 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.486 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.486 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.486 * [taylor]: Taking taylor expansion of im in im 1.486 * [backup-simplify]: Simplify 0 into 0 1.486 * [backup-simplify]: Simplify 1 into 1 1.486 * [backup-simplify]: Simplify (* 1 1) into 1 1.487 * [backup-simplify]: Simplify (/ 1 1) into 1 1.487 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.487 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.487 * [taylor]: Taking taylor expansion of re in im 1.487 * [backup-simplify]: Simplify re into re 1.487 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.487 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.487 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.487 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.487 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.487 * [taylor]: Taking taylor expansion of im in re 1.487 * [backup-simplify]: Simplify im into im 1.487 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.487 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.487 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.487 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.488 * [taylor]: Taking taylor expansion of re in re 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 1) into 1 1.488 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.488 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.488 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.488 * [taylor]: Taking taylor expansion of im in re 1.489 * [backup-simplify]: Simplify im into im 1.489 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.489 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.489 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.489 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.489 * [taylor]: Taking taylor expansion of re in re 1.489 * [backup-simplify]: Simplify 0 into 0 1.489 * [backup-simplify]: Simplify 1 into 1 1.489 * [backup-simplify]: Simplify (* 1 1) into 1 1.490 * [backup-simplify]: Simplify (/ 1 1) into 1 1.490 * [backup-simplify]: Simplify (+ 0 1) into 1 1.490 * [taylor]: Taking taylor expansion of 1 in im 1.490 * [backup-simplify]: Simplify 1 into 1 1.491 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.492 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.492 * [backup-simplify]: Simplify (+ 0 0) into 0 1.492 * [taylor]: Taking taylor expansion of 0 in im 1.492 * [backup-simplify]: Simplify 0 into 0 1.492 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.493 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.493 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 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 1.494 * [backup-simplify]: Simplify (/ 1 1) into 1 1.494 * [backup-simplify]: Simplify 1 into 1 1.494 * [backup-simplify]: Simplify 1 into 1 1.494 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.494 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.494 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.495 * [backup-simplify]: Simplify (+ 0 0) into 0 1.495 * [taylor]: Taking taylor expansion of 0 in im 1.495 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.496 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify 0 into 0 1.496 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.497 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.497 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.498 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.498 * [backup-simplify]: Simplify (+ 0 0) into 0 1.498 * [taylor]: Taking taylor expansion of 0 in im 1.498 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.499 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify 0 into 0 1.499 * [backup-simplify]: Simplify (+ (* 1 (pow (* 1 (/ 1 (/ 1 re))) 2)) (* 1 (pow (* (/ 1 (/ 1 im)) 1) 2))) into (+ (pow re 2) (pow im 2)) 1.500 * [backup-simplify]: Simplify (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im)))) into (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) 1.500 * [approximate]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in (re im) around 0 1.500 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.500 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.500 * [taylor]: Taking taylor expansion of im in im 1.500 * [backup-simplify]: Simplify 0 into 0 1.500 * [backup-simplify]: Simplify 1 into 1 1.500 * [backup-simplify]: Simplify (* 1 1) into 1 1.500 * [backup-simplify]: Simplify (/ 1 1) into 1 1.500 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 1.500 * [taylor]: Taking taylor expansion of (pow re 2) in im 1.500 * [taylor]: Taking taylor expansion of re in im 1.500 * [backup-simplify]: Simplify re into re 1.500 * [backup-simplify]: Simplify (* re re) into (pow re 2) 1.501 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 1.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.501 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.501 * [taylor]: Taking taylor expansion of im in re 1.501 * [backup-simplify]: Simplify im into im 1.501 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.501 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.501 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.501 * [taylor]: Taking taylor expansion of re in re 1.501 * [backup-simplify]: Simplify 0 into 0 1.501 * [backup-simplify]: Simplify 1 into 1 1.501 * [backup-simplify]: Simplify (* 1 1) into 1 1.501 * [backup-simplify]: Simplify (/ 1 1) into 1 1.501 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 1.501 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 1.501 * [taylor]: Taking taylor expansion of (pow im 2) in re 1.501 * [taylor]: Taking taylor expansion of im in re 1.501 * [backup-simplify]: Simplify im into im 1.501 * [backup-simplify]: Simplify (* im im) into (pow im 2) 1.502 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 1.502 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 1.502 * [taylor]: Taking taylor expansion of (pow re 2) in re 1.502 * [taylor]: Taking taylor expansion of re in re 1.502 * [backup-simplify]: Simplify 0 into 0 1.502 * [backup-simplify]: Simplify 1 into 1 1.502 * [backup-simplify]: Simplify (* 1 1) into 1 1.502 * [backup-simplify]: Simplify (/ 1 1) into 1 1.502 * [backup-simplify]: Simplify (+ 0 1) into 1 1.502 * [taylor]: Taking taylor expansion of 1 in im 1.502 * [backup-simplify]: Simplify 1 into 1 1.503 * [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 1.503 * [taylor]: Taking taylor expansion of 0 in im 1.503 * [backup-simplify]: Simplify 0 into 0 1.504 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 1.504 * [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)) 1.505 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 1.505 * [taylor]: Taking taylor expansion of (pow im 2) in im 1.505 * [taylor]: Taking taylor expansion of im in im 1.505 * [backup-simplify]: Simplify 0 into 0 1.505 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify (* 1 1) into 1 1.505 * [backup-simplify]: Simplify (/ 1 1) into 1 1.505 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify 1 into 1 1.505 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 1.506 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 1.506 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 1.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.507 * [backup-simplify]: Simplify (+ 0 0) into 0 1.507 * [taylor]: Taking taylor expansion of 0 in im 1.507 * [backup-simplify]: Simplify 0 into 0 1.507 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 1.508 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify 0 into 0 1.508 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 1.508 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))) (* 0 (/ 0 (pow im 2))))) into 0 1.509 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 1.509 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 1.510 * [backup-simplify]: Simplify (+ 0 0) 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 (- (+ (* 1 (/ 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 (pow (* 1 (/ 1 (/ 1 (- re)))) 2)) (* 1 (pow (* (/ 1 (/ 1 (- im))) 1) 2))) into (+ (pow re 2) (pow im 2)) 1.511 * * * [progress]: simplifying candidates 1.513 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (* (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (exp re)) (log (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (exp (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re))) (cbrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (* (* (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (sqrt (+ (exp (log (sqrt (+ (* re re) (* im im))))) re)) (+ (pow (exp (log (sqrt (+ (* re re) (* im im))))) 3) (pow re 3)) (+ (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (- (* re re) (* (exp (log (sqrt (+ (* re re) (* im im))))) re))) (- (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (* re re)) (- (exp (log (sqrt (+ (* re re) (* im im))))) re) (+ (exp (log (sqrt (+ (* re re) (* im im))))) re) (exp 1/2) (exp 1) (exp (/ 1 2)) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) (exp 1) (exp (log (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))))) (exp (log (cbrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))))) (exp (log (sqrt (cbrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt 1))) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (sqrt (+ (* re re) (* im im)))))) (exp (log 1)) (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))))) (exp (log (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))))) (exp (log (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))))) (exp (log (sqrt (- (* re re) (* im im))))) (log (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (exp (log (sqrt (+ (* re re) (* im im)))))) (* (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im))))))) (cbrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (* (exp (log (sqrt (+ (* re re) (* im im))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (sqrt (exp (log (sqrt (+ (* re re) (* im im)))))) (* (exp (* re re)) (exp (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (* (* (+ (* re re) (* im im)) (+ (* re re) (* im im))) (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow (* re re) 3) (pow (* im im) 3)) (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im)))) (- (* (* re re) (* re re)) (* (* im im) (* im im))) (- (* re re) (* im im)) im re (* -1 re) (+ re im) (* 2 re) 0 im re (* -1 re) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) (+ (pow re 2) (pow im 2)) 1.516 * * [simplify]: Extracting # 0 : cost 0 1.516 * * [simplify]: Extracting # 1 : cost 0 1.517 * * [simplify]: Extracting # 2 : cost 0 1.517 * * [simplify]: Extracting # 3 : cost 0 1.517 * * [simplify]: Extracting # 4 : cost 0 1.517 * * [simplify]: Extracting # 5 : cost 0 1.518 * * [simplify]: Extracting # 6 : cost 0 1.518 * * [simplify]: iteration 0 : 108 enodes (cost 993 ) 1.564 * * [simplify]: Extracting # 0 : cost 0 1.564 * * [simplify]: Extracting # 1 : cost 0 1.565 * * [simplify]: Extracting # 2 : cost 0 1.565 * * [simplify]: Extracting # 3 : cost 0 1.566 * * [simplify]: Extracting # 4 : cost 0 1.566 * * [simplify]: iteration 1 : 247 enodes (cost 807 ) 1.723 * * [simplify]: Extracting # 0 : cost 0 1.725 * * [simplify]: Extracting # 1 : cost 0 1.729 * * [simplify]: Extracting # 2 : cost 0 1.731 * * [simplify]: Extracting # 3 : cost 0 1.734 * * [simplify]: Extracting # 4 : cost 0 1.737 * * [simplify]: iteration 2 : 1124 enodes (cost 707 ) 2.165 * * [simplify]: Extracting # 0 : cost 0 2.178 * * [simplify]: Extracting # 1 : cost 0 2.193 * * [simplify]: Extracting # 2 : cost 0 2.207 * * [simplify]: Extracting # 3 : cost 0 2.229 * * [simplify]: Extracting # 4 : cost 0 2.244 * * [simplify]: iteration done: 5000 enodes (cost 699 ) 2.245 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (exp (* 2 (log (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (log (+ re (sqrt (+ (* re re) (* im im))))) (exp (+ re (sqrt (+ (* re re) (* im im))))) (* (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (cbrt (+ re (sqrt (+ (* re re) (* im im)))))) (cbrt (+ re (sqrt (+ (* re re) (* im im))))) (pow (+ re (sqrt (+ (* re re) (* im im)))) 3) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (sqrt (+ re (sqrt (+ (* re re) (* im im))))) (+ (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* im im) (* re (+ re (- re (sqrt (+ (* re re) (* im im))))))) (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re) (+ re (sqrt (+ (* re re) (* im im)))) (exp 1/2) E (exp 1/2) (exp (* (cbrt (log (sqrt (+ (* re re) (* im im))))) (cbrt (log (sqrt (+ (* re re) (* im im))))))) (exp (sqrt (log (sqrt (+ (* re re) (* im im)))))) E (exp (* 2 (log (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im)))) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (exp (* 2 (log (cbrt (sqrt (+ (* re re) (* im im))))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (exp (+ (* re re) (* im im))) (log (+ (* re re) (* im im))) (exp (+ (* re re) (* im im))) (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im)))) (cbrt (+ (* re re) (* im im))) (pow (+ (* im im) (* re re)) 3) (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im))) (+ (pow im 6) (pow re 6)) (+ (* (* im im) (- (* im im) (* re re))) (pow re 4)) (- (pow re 4) (pow im 4)) (- (* re re) (* im im)) im re (- re) (+ re im) (* 2 re) 0 im re (- re) (+ (* re re) (* im im)) (+ (* re re) (* im im)) (+ (* re re) (* im im)) 2.246 * * * [progress]: adding candidates to table 2.495 * * [progress]: iteration 3 / 4 2.496 * * * [progress]: picking best candidate 2.507 * * * * [pick]: Picked # 2.507 * * * [progress]: localizing error 2.523 * * * [progress]: generating rewritten candidates 2.523 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 1) 2.531 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 2.598 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 2.651 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2 2) 2.702 * * * [progress]: generating series expansions 2.702 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 1) 2.702 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 2.702 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 2.702 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.702 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.702 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.702 * [taylor]: Taking taylor expansion of re in im 2.702 * [backup-simplify]: Simplify re into re 2.702 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.702 * [taylor]: Taking taylor expansion of im in im 2.702 * [backup-simplify]: Simplify 0 into 0 2.703 * [backup-simplify]: Simplify 1 into 1 2.703 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.703 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.703 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.703 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.704 * [backup-simplify]: Simplify (+ 0 0) into 0 2.704 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.704 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.704 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.704 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.704 * [taylor]: Taking taylor expansion of re in re 2.704 * [backup-simplify]: Simplify 0 into 0 2.704 * [backup-simplify]: Simplify 1 into 1 2.704 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.704 * [taylor]: Taking taylor expansion of im in re 2.704 * [backup-simplify]: Simplify im into im 2.704 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.705 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.705 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.705 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.705 * [backup-simplify]: Simplify (+ 0 0) into 0 2.705 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.705 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.706 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.706 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.706 * [taylor]: Taking taylor expansion of re in re 2.706 * [backup-simplify]: Simplify 0 into 0 2.706 * [backup-simplify]: Simplify 1 into 1 2.706 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.706 * [taylor]: Taking taylor expansion of im in re 2.706 * [backup-simplify]: Simplify im into im 2.706 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.706 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.706 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.706 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.707 * [backup-simplify]: Simplify (+ 0 0) into 0 2.707 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.707 * [taylor]: Taking taylor expansion of im in im 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 1 into 1 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [taylor]: Taking taylor expansion of 0 in im 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 0 into 0 2.707 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify (* 1 1) into 1 2.708 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.709 * [backup-simplify]: Simplify (+ 1 0) into 1 2.709 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 2.710 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 2.710 * [taylor]: Taking taylor expansion of 1/2 in im 2.710 * [backup-simplify]: Simplify 1/2 into 1/2 2.710 * [taylor]: Taking taylor expansion of im in im 2.710 * [backup-simplify]: Simplify 0 into 0 2.710 * [backup-simplify]: Simplify 1 into 1 2.710 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.711 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 0 into 0 2.711 * [backup-simplify]: Simplify 0 into 0 2.712 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.713 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 2.713 * [backup-simplify]: Simplify (+ 0 0) into 0 2.713 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 2.713 * [taylor]: Taking taylor expansion of 0 in im 2.713 * [backup-simplify]: Simplify 0 into 0 2.713 * [backup-simplify]: Simplify 0 into 0 2.714 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 2.715 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.715 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.715 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.715 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.715 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.715 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.715 * [taylor]: Taking taylor expansion of im in im 2.715 * [backup-simplify]: Simplify 0 into 0 2.715 * [backup-simplify]: Simplify 1 into 1 2.716 * [backup-simplify]: Simplify (* 1 1) into 1 2.716 * [backup-simplify]: Simplify (/ 1 1) into 1 2.716 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.716 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.716 * [taylor]: Taking taylor expansion of re in im 2.716 * [backup-simplify]: Simplify re into re 2.716 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.716 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.717 * [backup-simplify]: Simplify (+ 1 0) into 1 2.717 * [backup-simplify]: Simplify (sqrt 1) into 1 2.718 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.719 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.719 * [backup-simplify]: Simplify (+ 0 0) into 0 2.719 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.719 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.719 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.720 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.720 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.720 * [taylor]: Taking taylor expansion of im in re 2.720 * [backup-simplify]: Simplify im into im 2.720 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.720 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.720 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.720 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.720 * [taylor]: Taking taylor expansion of re in re 2.720 * [backup-simplify]: Simplify 0 into 0 2.720 * [backup-simplify]: Simplify 1 into 1 2.720 * [backup-simplify]: Simplify (* 1 1) into 1 2.720 * [backup-simplify]: Simplify (/ 1 1) into 1 2.721 * [backup-simplify]: Simplify (+ 0 1) into 1 2.721 * [backup-simplify]: Simplify (sqrt 1) into 1 2.721 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.722 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.722 * [backup-simplify]: Simplify (+ 0 0) into 0 2.722 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.722 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.722 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.722 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.722 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.722 * [taylor]: Taking taylor expansion of im in re 2.722 * [backup-simplify]: Simplify im into im 2.722 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.722 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.723 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.723 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.723 * [taylor]: Taking taylor expansion of re in re 2.723 * [backup-simplify]: Simplify 0 into 0 2.723 * [backup-simplify]: Simplify 1 into 1 2.723 * [backup-simplify]: Simplify (* 1 1) into 1 2.723 * [backup-simplify]: Simplify (/ 1 1) into 1 2.723 * [backup-simplify]: Simplify (+ 0 1) into 1 2.724 * [backup-simplify]: Simplify (sqrt 1) into 1 2.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.725 * [backup-simplify]: Simplify (+ 0 0) into 0 2.725 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.725 * [taylor]: Taking taylor expansion of 1 in im 2.725 * [backup-simplify]: Simplify 1 into 1 2.725 * [taylor]: Taking taylor expansion of 0 in im 2.725 * [backup-simplify]: Simplify 0 into 0 2.725 * [backup-simplify]: Simplify 1 into 1 2.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.729 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.730 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.730 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.730 * [taylor]: Taking taylor expansion of 1/2 in im 2.730 * [backup-simplify]: Simplify 1/2 into 1/2 2.730 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.730 * [taylor]: Taking taylor expansion of im in im 2.730 * [backup-simplify]: Simplify 0 into 0 2.730 * [backup-simplify]: Simplify 1 into 1 2.731 * [backup-simplify]: Simplify (* 1 1) into 1 2.731 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.731 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.732 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify 0 into 0 2.732 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.732 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.733 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.733 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.733 * [backup-simplify]: Simplify (+ 0 0) into 0 2.734 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.734 * [taylor]: Taking taylor expansion of 0 in im 2.734 * [backup-simplify]: Simplify 0 into 0 2.734 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.735 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 2.735 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 2.735 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 2.735 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.735 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.735 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.735 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.735 * [taylor]: Taking taylor expansion of im in im 2.735 * [backup-simplify]: Simplify 0 into 0 2.735 * [backup-simplify]: Simplify 1 into 1 2.736 * [backup-simplify]: Simplify (* 1 1) into 1 2.736 * [backup-simplify]: Simplify (/ 1 1) into 1 2.736 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.736 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.736 * [taylor]: Taking taylor expansion of re in im 2.736 * [backup-simplify]: Simplify re into re 2.736 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.736 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.736 * [backup-simplify]: Simplify (+ 1 0) into 1 2.737 * [backup-simplify]: Simplify (sqrt 1) into 1 2.737 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.737 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.738 * [backup-simplify]: Simplify (+ 0 0) into 0 2.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.738 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.738 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.738 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.738 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.738 * [taylor]: Taking taylor expansion of im in re 2.738 * [backup-simplify]: Simplify im into im 2.738 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.738 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.738 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.738 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.738 * [taylor]: Taking taylor expansion of re in re 2.738 * [backup-simplify]: Simplify 0 into 0 2.739 * [backup-simplify]: Simplify 1 into 1 2.739 * [backup-simplify]: Simplify (* 1 1) into 1 2.739 * [backup-simplify]: Simplify (/ 1 1) into 1 2.739 * [backup-simplify]: Simplify (+ 0 1) into 1 2.739 * [backup-simplify]: Simplify (sqrt 1) into 1 2.740 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.740 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.740 * [backup-simplify]: Simplify (+ 0 0) into 0 2.741 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.741 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.741 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.741 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.741 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.741 * [taylor]: Taking taylor expansion of im in re 2.741 * [backup-simplify]: Simplify im into im 2.741 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.741 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.741 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.741 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.741 * [taylor]: Taking taylor expansion of re in re 2.741 * [backup-simplify]: Simplify 0 into 0 2.741 * [backup-simplify]: Simplify 1 into 1 2.742 * [backup-simplify]: Simplify (* 1 1) into 1 2.742 * [backup-simplify]: Simplify (/ 1 1) into 1 2.742 * [backup-simplify]: Simplify (+ 0 1) into 1 2.742 * [backup-simplify]: Simplify (sqrt 1) into 1 2.743 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.743 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.743 * [backup-simplify]: Simplify (+ 0 0) into 0 2.744 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.744 * [taylor]: Taking taylor expansion of 1 in im 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [taylor]: Taking taylor expansion of 0 in im 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.744 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.745 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.745 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.746 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.746 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 2.746 * [taylor]: Taking taylor expansion of 1/2 in im 2.746 * [backup-simplify]: Simplify 1/2 into 1/2 2.746 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.746 * [taylor]: Taking taylor expansion of im in im 2.746 * [backup-simplify]: Simplify 0 into 0 2.746 * [backup-simplify]: Simplify 1 into 1 2.746 * [backup-simplify]: Simplify (* 1 1) into 1 2.746 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 2.747 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.747 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify 0 into 0 2.747 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.748 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 2.748 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.749 * [backup-simplify]: Simplify (+ 0 0) into 0 2.750 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 2.750 * [taylor]: Taking taylor expansion of 0 in im 2.750 * [backup-simplify]: Simplify 0 into 0 2.750 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.751 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 2.751 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 2.751 * [backup-simplify]: Simplify (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)) into (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) 2.751 * [approximate]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in (im re) around 0 2.751 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 2.751 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.751 * [taylor]: Taking taylor expansion of im in re 2.751 * [backup-simplify]: Simplify im into im 2.751 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.751 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.751 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.751 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.751 * [taylor]: Taking taylor expansion of re in re 2.751 * [backup-simplify]: Simplify 0 into 0 2.751 * [backup-simplify]: Simplify 1 into 1 2.751 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.751 * [taylor]: Taking taylor expansion of im in re 2.751 * [backup-simplify]: Simplify im into im 2.752 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.752 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.752 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.752 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.752 * [backup-simplify]: Simplify (+ 0 0) into 0 2.752 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.752 * [taylor]: Taking taylor expansion of re in re 2.752 * [backup-simplify]: Simplify 0 into 0 2.752 * [backup-simplify]: Simplify 1 into 1 2.752 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.752 * [backup-simplify]: Simplify (- 0) into 0 2.752 * [backup-simplify]: Simplify (+ im 0) into im 2.753 * [backup-simplify]: Simplify (/ (pow im 2) im) into im 2.753 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 2.753 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.753 * [taylor]: Taking taylor expansion of im in im 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.753 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.753 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.753 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.753 * [taylor]: Taking taylor expansion of re in im 2.753 * [backup-simplify]: Simplify re into re 2.753 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.753 * [taylor]: Taking taylor expansion of im in im 2.753 * [backup-simplify]: Simplify 0 into 0 2.753 * [backup-simplify]: Simplify 1 into 1 2.753 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.753 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.753 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.753 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.753 * [backup-simplify]: Simplify (+ 0 0) into 0 2.753 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.754 * [taylor]: Taking taylor expansion of re in im 2.754 * [backup-simplify]: Simplify re into re 2.754 * [backup-simplify]: Simplify (* 1 1) into 1 2.754 * [backup-simplify]: Simplify (- re) into (- re) 2.754 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.754 * [backup-simplify]: Simplify (- 0) into 0 2.754 * [backup-simplify]: Simplify (+ 0 0) into 0 2.755 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.755 * [backup-simplify]: Simplify (* 1 1) into 1 2.755 * [backup-simplify]: Simplify (+ 0 1) into 1 2.756 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.756 * [backup-simplify]: Simplify (- 0) into 0 2.756 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.756 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 2.756 * [taylor]: Taking taylor expansion of (/ (pow im 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 2.756 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.756 * [taylor]: Taking taylor expansion of im in im 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 1 into 1 2.756 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.756 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.756 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.756 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.756 * [taylor]: Taking taylor expansion of re in im 2.756 * [backup-simplify]: Simplify re into re 2.756 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.756 * [taylor]: Taking taylor expansion of im in im 2.756 * [backup-simplify]: Simplify 0 into 0 2.756 * [backup-simplify]: Simplify 1 into 1 2.756 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.756 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.756 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.757 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.757 * [backup-simplify]: Simplify (+ 0 0) into 0 2.757 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.757 * [taylor]: Taking taylor expansion of re in im 2.757 * [backup-simplify]: Simplify re into re 2.757 * [backup-simplify]: Simplify (* 1 1) into 1 2.757 * [backup-simplify]: Simplify (- re) into (- re) 2.757 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.757 * [backup-simplify]: Simplify (- 0) into 0 2.758 * [backup-simplify]: Simplify (+ 0 0) into 0 2.758 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.758 * [backup-simplify]: Simplify (* 1 1) into 1 2.759 * [backup-simplify]: Simplify (+ 0 1) into 1 2.759 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.760 * [backup-simplify]: Simplify (- 0) into 0 2.760 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.760 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 2.760 * [taylor]: Taking taylor expansion of (* 2 re) in re 2.760 * [taylor]: Taking taylor expansion of 2 in re 2.760 * [backup-simplify]: Simplify 2 into 2 2.760 * [taylor]: Taking taylor expansion of re in re 2.760 * [backup-simplify]: Simplify 0 into 0 2.760 * [backup-simplify]: Simplify 1 into 1 2.761 * [backup-simplify]: Simplify (* 2 0) into 0 2.761 * [backup-simplify]: Simplify 0 into 0 2.761 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.762 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.763 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.763 * [backup-simplify]: Simplify (+ 0 0) into 0 2.763 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.763 * [backup-simplify]: Simplify (- 0) into 0 2.764 * [backup-simplify]: Simplify (+ 0 0) into 0 2.764 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.764 * [taylor]: Taking taylor expansion of 0 in re 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify 0 into 0 2.764 * [backup-simplify]: Simplify (+ (* 2 1) (* 0 0)) into 2 2.764 * [backup-simplify]: Simplify 2 into 2 2.765 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.766 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 2.766 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.766 * [backup-simplify]: Simplify (+ 0 0) into 0 2.767 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 2.767 * [backup-simplify]: Simplify (- 0) into 0 2.767 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 2.768 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 2.768 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 re)) in re 2.768 * [taylor]: Taking taylor expansion of 1/2 in re 2.768 * [backup-simplify]: Simplify 1/2 into 1/2 2.768 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.768 * [taylor]: Taking taylor expansion of re in re 2.768 * [backup-simplify]: Simplify 0 into 0 2.768 * [backup-simplify]: Simplify 1 into 1 2.768 * [backup-simplify]: Simplify (/ 1 1) into 1 2.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.769 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.769 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 1) (* 0 0))) into 0 2.769 * [backup-simplify]: Simplify 0 into 0 2.770 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.771 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 2.772 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.772 * [backup-simplify]: Simplify (+ 0 0) into 0 2.772 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 2.772 * [backup-simplify]: Simplify (- 0) into 0 2.773 * [backup-simplify]: Simplify (+ 0 0) into 0 2.773 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.773 * [taylor]: Taking taylor expansion of 0 in re 2.773 * [backup-simplify]: Simplify 0 into 0 2.773 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.774 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify 0 into 0 2.774 * [backup-simplify]: Simplify (* 2 (* re 1)) into (* 2 re) 2.775 * [backup-simplify]: Simplify (/ (+ (* (/ 1 im) (/ 1 im)) 0) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))) into (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) 2.775 * [approximate]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in (im re) around 0 2.775 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in re 2.775 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in re 2.775 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.775 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.775 * [taylor]: Taking taylor expansion of im in re 2.775 * [backup-simplify]: Simplify im into im 2.775 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.775 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.775 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.775 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.775 * [taylor]: Taking taylor expansion of re in re 2.775 * [backup-simplify]: Simplify 0 into 0 2.775 * [backup-simplify]: Simplify 1 into 1 2.775 * [backup-simplify]: Simplify (* 1 1) into 1 2.775 * [backup-simplify]: Simplify (/ 1 1) into 1 2.776 * [backup-simplify]: Simplify (+ 0 1) into 1 2.776 * [backup-simplify]: Simplify (sqrt 1) into 1 2.776 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.777 * [backup-simplify]: Simplify (+ 0 0) into 0 2.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.777 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.777 * [taylor]: Taking taylor expansion of re in re 2.777 * [backup-simplify]: Simplify 0 into 0 2.777 * [backup-simplify]: Simplify 1 into 1 2.778 * [backup-simplify]: Simplify (/ 1 1) into 1 2.778 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.778 * [taylor]: Taking taylor expansion of im in re 2.778 * [backup-simplify]: Simplify im into im 2.778 * [backup-simplify]: Simplify (- 1) into -1 2.778 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.778 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.778 * [backup-simplify]: Simplify (* 0 (pow im 2)) into 0 2.778 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.779 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.779 * [backup-simplify]: Simplify (- 0) into 0 2.779 * [backup-simplify]: Simplify (+ 0 0) into 0 2.780 * [backup-simplify]: Simplify (+ (* 0 0) (* 0 (pow im 2))) into 0 2.780 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 2.780 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.781 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.782 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.782 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.783 * [backup-simplify]: Simplify (- 0) into 0 2.783 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.783 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 0 0) (* (* 1/2 (/ 1 (pow im 2))) (pow im 2)))) into 1/2 2.784 * [backup-simplify]: Simplify (/ 1 1/2) into 2 2.784 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 2.784 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 2.784 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.784 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.784 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.784 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.784 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.784 * [taylor]: Taking taylor expansion of im in im 2.784 * [backup-simplify]: Simplify 0 into 0 2.784 * [backup-simplify]: Simplify 1 into 1 2.784 * [backup-simplify]: Simplify (* 1 1) into 1 2.784 * [backup-simplify]: Simplify (/ 1 1) into 1 2.784 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.784 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.784 * [taylor]: Taking taylor expansion of re in im 2.784 * [backup-simplify]: Simplify re into re 2.784 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.784 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.785 * [backup-simplify]: Simplify (+ 1 0) into 1 2.785 * [backup-simplify]: Simplify (sqrt 1) into 1 2.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.786 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.786 * [backup-simplify]: Simplify (+ 0 0) into 0 2.786 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.786 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.786 * [taylor]: Taking taylor expansion of re in im 2.786 * [backup-simplify]: Simplify re into re 2.786 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.786 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.786 * [taylor]: Taking taylor expansion of im in im 2.786 * [backup-simplify]: Simplify 0 into 0 2.786 * [backup-simplify]: Simplify 1 into 1 2.787 * [backup-simplify]: Simplify (+ 1 0) into 1 2.787 * [backup-simplify]: Simplify (* 1 1) into 1 2.787 * [backup-simplify]: Simplify (* 1 1) into 1 2.788 * [backup-simplify]: Simplify (/ 1 1) into 1 2.788 * [taylor]: Taking taylor expansion of (/ 1 (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2))) in im 2.788 * [taylor]: Taking taylor expansion of (* (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) (pow im 2)) in im 2.788 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.788 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.788 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.788 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.788 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.788 * [taylor]: Taking taylor expansion of im in im 2.788 * [backup-simplify]: Simplify 0 into 0 2.788 * [backup-simplify]: Simplify 1 into 1 2.788 * [backup-simplify]: Simplify (* 1 1) into 1 2.789 * [backup-simplify]: Simplify (/ 1 1) into 1 2.789 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.789 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.789 * [taylor]: Taking taylor expansion of re in im 2.789 * [backup-simplify]: Simplify re into re 2.789 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.789 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.790 * [backup-simplify]: Simplify (+ 1 0) into 1 2.790 * [backup-simplify]: Simplify (sqrt 1) into 1 2.791 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.791 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.792 * [backup-simplify]: Simplify (+ 0 0) into 0 2.792 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.792 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.792 * [taylor]: Taking taylor expansion of re in im 2.792 * [backup-simplify]: Simplify re into re 2.792 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.793 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.793 * [taylor]: Taking taylor expansion of im in im 2.793 * [backup-simplify]: Simplify 0 into 0 2.793 * [backup-simplify]: Simplify 1 into 1 2.793 * [backup-simplify]: Simplify (+ 1 0) into 1 2.793 * [backup-simplify]: Simplify (* 1 1) into 1 2.794 * [backup-simplify]: Simplify (* 1 1) into 1 2.794 * [backup-simplify]: Simplify (/ 1 1) into 1 2.794 * [taylor]: Taking taylor expansion of 1 in re 2.794 * [backup-simplify]: Simplify 1 into 1 2.795 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.795 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 2.795 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 2.796 * [backup-simplify]: Simplify (+ (* 1 0) (* (- (/ 1 re)) 1)) into (- (/ 1 re)) 2.796 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 2.796 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.796 * [taylor]: Taking taylor expansion of re in re 2.796 * [backup-simplify]: Simplify 0 into 0 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [backup-simplify]: Simplify (/ 1 1) into 1 2.796 * [backup-simplify]: Simplify 1 into 1 2.796 * [backup-simplify]: Simplify 1 into 1 2.797 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.798 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.799 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.801 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.801 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.801 * [backup-simplify]: Simplify (- 0) into 0 2.801 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 2.802 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 2.803 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.803 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.803 * [taylor]: Taking taylor expansion of 1/2 in re 2.803 * [backup-simplify]: Simplify 1/2 into 1/2 2.803 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.803 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.803 * [taylor]: Taking taylor expansion of re in re 2.803 * [backup-simplify]: Simplify 0 into 0 2.803 * [backup-simplify]: Simplify 1 into 1 2.803 * [backup-simplify]: Simplify (* 1 1) into 1 2.803 * [backup-simplify]: Simplify (/ 1 1) into 1 2.804 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.804 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.804 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.805 * [backup-simplify]: Simplify 0 into 0 2.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.806 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.807 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.807 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.807 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 2.807 * [backup-simplify]: Simplify (+ 0 0) into 0 2.808 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 2.808 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 2.808 * [backup-simplify]: Simplify (- 0) into 0 2.808 * [backup-simplify]: Simplify (+ 0 0) into 0 2.809 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (- (/ 1 re)) 0) (+ (* (* 1/2 (/ 1 (pow re 2))) 0) (* 0 1)))) into 0 2.809 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* (/ 1 re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ 1 (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 2.809 * [taylor]: Taking taylor expansion of 0 in re 2.809 * [backup-simplify]: Simplify 0 into 0 2.810 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.810 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.811 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 2.811 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify (+ (* 1 (* 1 (/ 1 (/ 1 im)))) (* 1 (* (/ 1 (/ 1 re)) 1))) into (+ re im) 2.812 * [backup-simplify]: Simplify (/ (+ (* (/ 1 (- im)) (/ 1 (- im))) 0) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))) into (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) 2.812 * [approximate]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in (im re) around 0 2.812 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in re 2.812 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in re 2.812 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 2.812 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.812 * [taylor]: Taking taylor expansion of re in re 2.812 * [backup-simplify]: Simplify 0 into 0 2.812 * [backup-simplify]: Simplify 1 into 1 2.812 * [backup-simplify]: Simplify (/ 1 1) into 1 2.813 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.813 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.813 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.813 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.813 * [taylor]: Taking taylor expansion of im in re 2.813 * [backup-simplify]: Simplify im into im 2.813 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.813 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.813 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.813 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.813 * [taylor]: Taking taylor expansion of re in re 2.813 * [backup-simplify]: Simplify 0 into 0 2.813 * [backup-simplify]: Simplify 1 into 1 2.813 * [backup-simplify]: Simplify (* 1 1) into 1 2.813 * [backup-simplify]: Simplify (/ 1 1) into 1 2.814 * [backup-simplify]: Simplify (+ 0 1) into 1 2.814 * [backup-simplify]: Simplify (sqrt 1) into 1 2.814 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.815 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.815 * [backup-simplify]: Simplify (+ 0 0) into 0 2.815 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.815 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.815 * [taylor]: Taking taylor expansion of im in re 2.815 * [backup-simplify]: Simplify im into im 2.815 * [backup-simplify]: Simplify (+ 1 1) into 2 2.815 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.816 * [backup-simplify]: Simplify (* 2 (pow im 2)) into (* 2 (pow im 2)) 2.816 * [backup-simplify]: Simplify (/ 1 (* 2 (pow im 2))) into (/ 1/2 (pow im 2)) 2.816 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 2.816 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 2.816 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.816 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.816 * [taylor]: Taking taylor expansion of re in im 2.816 * [backup-simplify]: Simplify re into re 2.816 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.816 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.816 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.816 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.816 * [taylor]: Taking taylor expansion of im in im 2.816 * [backup-simplify]: Simplify 0 into 0 2.816 * [backup-simplify]: Simplify 1 into 1 2.816 * [backup-simplify]: Simplify (* 1 1) into 1 2.816 * [backup-simplify]: Simplify (/ 1 1) into 1 2.816 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.816 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.817 * [taylor]: Taking taylor expansion of re in im 2.817 * [backup-simplify]: Simplify re into re 2.817 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.817 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.817 * [backup-simplify]: Simplify (+ 1 0) into 1 2.817 * [backup-simplify]: Simplify (sqrt 1) into 1 2.818 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.818 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.818 * [backup-simplify]: Simplify (+ 0 0) into 0 2.819 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.819 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.819 * [taylor]: Taking taylor expansion of im in im 2.819 * [backup-simplify]: Simplify 0 into 0 2.819 * [backup-simplify]: Simplify 1 into 1 2.819 * [backup-simplify]: Simplify (+ 0 1) into 1 2.819 * [backup-simplify]: Simplify (* 1 1) into 1 2.819 * [backup-simplify]: Simplify (* 1 1) into 1 2.820 * [backup-simplify]: Simplify (/ 1 1) into 1 2.820 * [taylor]: Taking taylor expansion of (/ 1 (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2))) in im 2.820 * [taylor]: Taking taylor expansion of (* (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) (pow im 2)) in im 2.820 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 2.820 * [taylor]: Taking taylor expansion of (/ 1 re) in im 2.820 * [taylor]: Taking taylor expansion of re in im 2.820 * [backup-simplify]: Simplify re into re 2.820 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 2.820 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.820 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.820 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.820 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.820 * [taylor]: Taking taylor expansion of im in im 2.820 * [backup-simplify]: Simplify 0 into 0 2.820 * [backup-simplify]: Simplify 1 into 1 2.820 * [backup-simplify]: Simplify (* 1 1) into 1 2.820 * [backup-simplify]: Simplify (/ 1 1) into 1 2.820 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 2.820 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.820 * [taylor]: Taking taylor expansion of re in im 2.820 * [backup-simplify]: Simplify re into re 2.820 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.821 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 2.821 * [backup-simplify]: Simplify (+ 1 0) into 1 2.821 * [backup-simplify]: Simplify (sqrt 1) into 1 2.821 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.822 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.822 * [backup-simplify]: Simplify (+ 0 0) into 0 2.822 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.822 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.822 * [taylor]: Taking taylor expansion of im in im 2.822 * [backup-simplify]: Simplify 0 into 0 2.822 * [backup-simplify]: Simplify 1 into 1 2.823 * [backup-simplify]: Simplify (+ 0 1) into 1 2.823 * [backup-simplify]: Simplify (* 1 1) into 1 2.823 * [backup-simplify]: Simplify (* 1 1) into 1 2.823 * [backup-simplify]: Simplify (/ 1 1) into 1 2.823 * [taylor]: Taking taylor expansion of 1 in re 2.824 * [backup-simplify]: Simplify 1 into 1 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.824 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 2.824 * [backup-simplify]: Simplify (+ (* 1 0) (* (/ 1 re) 1)) into (/ 1 re) 2.824 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 2.824 * [taylor]: Taking taylor expansion of (- (/ 1 re)) in re 2.824 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.824 * [taylor]: Taking taylor expansion of re in re 2.824 * [backup-simplify]: Simplify 0 into 0 2.824 * [backup-simplify]: Simplify 1 into 1 2.825 * [backup-simplify]: Simplify (/ 1 1) into 1 2.825 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.829 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.830 * [backup-simplify]: Simplify (- 0) into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify 0 into 0 2.830 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 2.831 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.832 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.832 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 2.833 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 2.833 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 2.833 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* (/ 1 re) 0) (* (* 1/2 (/ 1 (pow re 2))) 1))) into (* 1/2 (/ 1 (pow re 2))) 2.833 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 2.833 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow re 2))) in re 2.833 * [taylor]: Taking taylor expansion of 1/2 in re 2.833 * [backup-simplify]: Simplify 1/2 into 1/2 2.833 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.834 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.834 * [taylor]: Taking taylor expansion of re in re 2.834 * [backup-simplify]: Simplify 0 into 0 2.834 * [backup-simplify]: Simplify 1 into 1 2.834 * [backup-simplify]: Simplify (* 1 1) into 1 2.834 * [backup-simplify]: Simplify (/ 1 1) into 1 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.835 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.836 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.837 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.838 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.839 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.840 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.840 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.841 * [backup-simplify]: Simplify (- 0) into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * [backup-simplify]: Simplify 0 into 0 2.841 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 2.842 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)))) into (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) 2.842 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0 2.842 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re 2.842 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in re 2.842 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.842 * [taylor]: Taking taylor expansion of 2.0 in re 2.842 * [backup-simplify]: Simplify 2.0 into 2.0 2.842 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.843 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.843 * [taylor]: Taking taylor expansion of im in re 2.843 * [backup-simplify]: Simplify im into im 2.843 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 2.843 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 2.843 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 2.843 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 2.843 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 2.843 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.843 * [taylor]: Taking taylor expansion of re in re 2.843 * [backup-simplify]: Simplify 0 into 0 2.844 * [backup-simplify]: Simplify 1 into 1 2.844 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.844 * [taylor]: Taking taylor expansion of im in re 2.844 * [backup-simplify]: Simplify im into im 2.844 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.844 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 2.844 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 2.844 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 2.844 * [backup-simplify]: Simplify (+ 0 0) into 0 2.845 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 2.845 * [taylor]: Taking taylor expansion of re in re 2.845 * [backup-simplify]: Simplify 0 into 0 2.845 * [backup-simplify]: Simplify 1 into 1 2.845 * [backup-simplify]: Simplify (- 0) into 0 2.845 * [backup-simplify]: Simplify (+ im 0) into im 2.845 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 2.845 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 2.846 * [backup-simplify]: Simplify (- 1) into -1 2.846 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.846 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 2.847 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 2.847 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 2.847 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.847 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.847 * [taylor]: Taking taylor expansion of 2.0 in im 2.847 * [backup-simplify]: Simplify 2.0 into 2.0 2.847 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.848 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.848 * [taylor]: Taking taylor expansion of im in im 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 1 into 1 2.848 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 2.848 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 2.848 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.848 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.848 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.848 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.848 * [taylor]: Taking taylor expansion of re in im 2.848 * [backup-simplify]: Simplify re into re 2.848 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.848 * [taylor]: Taking taylor expansion of im in im 2.848 * [backup-simplify]: Simplify 0 into 0 2.848 * [backup-simplify]: Simplify 1 into 1 2.848 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.849 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.849 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.849 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.849 * [backup-simplify]: Simplify (+ 0 0) into 0 2.850 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.850 * [taylor]: Taking taylor expansion of re in im 2.850 * [backup-simplify]: Simplify re into re 2.850 * [backup-simplify]: Simplify (- re) into (- re) 2.850 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.850 * [backup-simplify]: Simplify (- 0) into 0 2.851 * [backup-simplify]: Simplify (+ 0 0) into 0 2.851 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.851 * [backup-simplify]: Simplify (* 1 1) into 1 2.852 * [backup-simplify]: Simplify (+ 0 1) into 1 2.853 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.853 * [backup-simplify]: Simplify (- 0) into 0 2.853 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.853 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 2.853 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 2.854 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.855 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.855 * [backup-simplify]: Simplify (+ 0 0) into 0 2.855 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.855 * [backup-simplify]: Simplify (- 0) into 0 2.856 * [backup-simplify]: Simplify (+ 0 0) into 0 2.856 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.856 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 2.856 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 2.856 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) im) in im 2.856 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.856 * [taylor]: Taking taylor expansion of 2.0 in im 2.856 * [backup-simplify]: Simplify 2.0 into 2.0 2.857 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.857 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.857 * [taylor]: Taking taylor expansion of im in im 2.857 * [backup-simplify]: Simplify 0 into 0 2.857 * [backup-simplify]: Simplify 1 into 1 2.857 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 2.857 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 2.858 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 2.858 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 2.858 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 2.858 * [taylor]: Taking taylor expansion of (pow re 2) in im 2.858 * [taylor]: Taking taylor expansion of re in im 2.858 * [backup-simplify]: Simplify re into re 2.858 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.858 * [taylor]: Taking taylor expansion of im in im 2.858 * [backup-simplify]: Simplify 0 into 0 2.858 * [backup-simplify]: Simplify 1 into 1 2.858 * [backup-simplify]: Simplify (* re re) into (pow re 2) 2.858 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 2.858 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 2.858 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 2.859 * [backup-simplify]: Simplify (+ 0 0) into 0 2.859 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 2.859 * [taylor]: Taking taylor expansion of re in im 2.859 * [backup-simplify]: Simplify re into re 2.859 * [backup-simplify]: Simplify (- re) into (- re) 2.859 * [backup-simplify]: Simplify (+ re (- re)) into 0 2.859 * [backup-simplify]: Simplify (- 0) into 0 2.860 * [backup-simplify]: Simplify (+ 0 0) into 0 2.860 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 2.860 * [backup-simplify]: Simplify (* 1 1) into 1 2.861 * [backup-simplify]: Simplify (+ 0 1) into 1 2.862 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 2.862 * [backup-simplify]: Simplify (- 0) into 0 2.862 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 2.862 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 2.862 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 2.863 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 2.864 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.864 * [backup-simplify]: Simplify (+ 0 0) into 0 2.865 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 2.865 * [backup-simplify]: Simplify (- 0) into 0 2.865 * [backup-simplify]: Simplify (+ 0 0) into 0 2.865 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.866 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 2.866 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 2.867 * [backup-simplify]: Simplify (* 0 (* (sqrt re) (sqrt 2))) into 0 2.867 * [taylor]: Taking taylor expansion of 0 in re 2.867 * [backup-simplify]: Simplify 0 into 0 2.867 * [backup-simplify]: Simplify 0 into 0 2.869 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 1) (* 0 0)) into (sqrt 2.0) 2.870 * [backup-simplify]: Simplify (+ (* 0 0) (* (sqrt 2.0) (* (sqrt re) (sqrt 2)))) into (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) 2.870 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (sqrt 2)) (sqrt re)) in re 2.870 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 2.870 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.870 * [taylor]: Taking taylor expansion of 2.0 in re 2.870 * [backup-simplify]: Simplify 2.0 into 2.0 2.871 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.871 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.872 * [taylor]: Taking taylor expansion of (sqrt 2) in re 2.872 * [taylor]: Taking taylor expansion of 2 in re 2.872 * [backup-simplify]: Simplify 2 into 2 2.872 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.873 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.873 * [taylor]: Taking taylor expansion of (sqrt re) in re 2.873 * [taylor]: Taking taylor expansion of re in re 2.873 * [backup-simplify]: Simplify 0 into 0 2.873 * [backup-simplify]: Simplify 1 into 1 2.873 * [backup-simplify]: Simplify (sqrt 0) into 0 2.875 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.876 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 2.877 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (sqrt 2)) 0) into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.877 * [backup-simplify]: Simplify 0 into 0 2.878 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 2.879 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.879 * [backup-simplify]: Simplify (+ 0 0) into 0 2.880 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 2.881 * [backup-simplify]: Simplify (- 0) into 0 2.881 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 2.882 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 2.883 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt re) (sqrt 2)))) into (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))) 2.884 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.885 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 1) (* 0 0))) into 0 2.887 * [backup-simplify]: Simplify (+ (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* (sqrt 2.0) 0) (* 0 (* (sqrt re) (sqrt 2))))) into 0 2.888 * [taylor]: Taking taylor expansion of 0 in re 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 0 into 0 2.889 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 2.892 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.896 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.896 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 2.898 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 2.899 * [backup-simplify]: Simplify (+ 0 0) into 0 2.899 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 2.900 * [backup-simplify]: Simplify (- 0) into 0 2.900 * [backup-simplify]: Simplify (+ 0 0) into 0 2.901 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ 1 re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 2.902 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))))))) (* 2 (* (sqrt re) (sqrt 2)))) into 0 2.904 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 2.905 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 1) (* 0 0)))) into 0 2.908 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* (sqrt 2.0) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2)))))) into (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 2.908 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 2.908 * [taylor]: Taking taylor expansion of 1/4 in re 2.908 * [backup-simplify]: Simplify 1/4 into 1/4 2.908 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 2.908 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (sqrt 2)) in re 2.908 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.908 * [taylor]: Taking taylor expansion of 2.0 in re 2.908 * [backup-simplify]: Simplify 2.0 into 2.0 2.909 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.910 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.910 * [taylor]: Taking taylor expansion of (sqrt 2) in re 2.910 * [taylor]: Taking taylor expansion of 2 in re 2.910 * [backup-simplify]: Simplify 2 into 2 2.910 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 2.911 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 2.912 * [backup-simplify]: Simplify (/ (sqrt 2.0) (sqrt 2)) into (/ (sqrt 2.0) (sqrt 2)) 2.913 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 2.913 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 2.913 * [taylor]: Taking taylor expansion of (pow re 3) in re 2.913 * [taylor]: Taking taylor expansion of re in re 2.913 * [backup-simplify]: Simplify 0 into 0 2.913 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (* 1 1) into 1 2.913 * [backup-simplify]: Simplify (* 1 1) into 1 2.914 * [backup-simplify]: Simplify (/ 1 1) into 1 2.914 * [backup-simplify]: Simplify (sqrt 0) into 0 2.916 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.917 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.918 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.919 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.922 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.923 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 2.924 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.925 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.927 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (sqrt 2.0) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 2.931 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.935 * [backup-simplify]: Simplify (+ (* (/ (sqrt 2.0) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.936 * [backup-simplify]: Simplify (* (/ (sqrt 2.0) (sqrt 2)) 0) into 0 2.944 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.948 * [backup-simplify]: Simplify (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) 2.948 * [backup-simplify]: Simplify 0 into 0 2.951 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.952 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 2.953 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 2.955 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 2.959 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.962 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) into (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) 2.973 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (pow (* re 1) 2)) (+ (* (- (* +nan.0 (/ (sqrt 2.0) (sqrt 2)))) (pow (* 1 im) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (sqrt 2)))) (* re 1)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) 2.974 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ (* (/ 1 im) (/ 1 im)) 0) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 2.974 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 2.974 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 2.974 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 2.974 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 2.974 * [taylor]: Taking taylor expansion of 2.0 in re 2.974 * [backup-simplify]: Simplify 2.0 into 2.0 2.982 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.983 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.983 * [taylor]: Taking taylor expansion of im in re 2.983 * [backup-simplify]: Simplify im into im 2.983 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 2.983 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 2.983 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 2.984 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 2.984 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 2.984 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 2.984 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 2.984 * [taylor]: Taking taylor expansion of (pow im 2) in re 2.984 * [taylor]: Taking taylor expansion of im in re 2.984 * [backup-simplify]: Simplify im into im 2.984 * [backup-simplify]: Simplify (* im im) into (pow im 2) 2.984 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 2.984 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 2.984 * [taylor]: Taking taylor expansion of (pow re 2) in re 2.984 * [taylor]: Taking taylor expansion of re in re 2.984 * [backup-simplify]: Simplify 0 into 0 2.984 * [backup-simplify]: Simplify 1 into 1 2.984 * [backup-simplify]: Simplify (* 1 1) into 1 2.985 * [backup-simplify]: Simplify (/ 1 1) into 1 2.985 * [backup-simplify]: Simplify (+ 0 1) into 1 2.986 * [backup-simplify]: Simplify (sqrt 1) into 1 2.986 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 2.987 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.987 * [backup-simplify]: Simplify (+ 0 0) into 0 2.988 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 2.988 * [taylor]: Taking taylor expansion of (/ 1 re) in re 2.988 * [taylor]: Taking taylor expansion of re in re 2.988 * [backup-simplify]: Simplify 0 into 0 2.988 * [backup-simplify]: Simplify 1 into 1 2.989 * [backup-simplify]: Simplify (/ 1 1) into 1 2.989 * [backup-simplify]: Simplify (- 1) into -1 2.989 * [backup-simplify]: Simplify (+ 1 -1) into 0 2.990 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.990 * [backup-simplify]: Simplify (- 0) into 0 2.991 * [backup-simplify]: Simplify (+ 0 0) into 0 2.992 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 2.993 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.993 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 2.994 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 2.995 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.995 * [backup-simplify]: Simplify (- 0) into 0 2.996 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 2.996 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 2.996 * [backup-simplify]: Simplify (sqrt 0) into 0 2.997 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 2.997 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 2.997 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 2.997 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 2.997 * [taylor]: Taking taylor expansion of 2.0 in im 2.997 * [backup-simplify]: Simplify 2.0 into 2.0 2.998 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 2.998 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 2.998 * [taylor]: Taking taylor expansion of im in im 2.998 * [backup-simplify]: Simplify 0 into 0 2.998 * [backup-simplify]: Simplify 1 into 1 2.999 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 2.999 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 2.999 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 2.999 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 2.999 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 2.999 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 2.999 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 2.999 * [taylor]: Taking taylor expansion of (pow im 2) in im 2.999 * [taylor]: Taking taylor expansion of im in im 2.999 * [backup-simplify]: Simplify 0 into 0 2.999 * [backup-simplify]: Simplify 1 into 1 3.000 * [backup-simplify]: Simplify (* 1 1) into 1 3.000 * [backup-simplify]: Simplify (/ 1 1) into 1 3.000 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.000 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.000 * [taylor]: Taking taylor expansion of re in im 3.000 * [backup-simplify]: Simplify re into re 3.000 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.001 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.001 * [backup-simplify]: Simplify (+ 1 0) into 1 3.001 * [backup-simplify]: Simplify (sqrt 1) into 1 3.002 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.003 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.003 * [backup-simplify]: Simplify (+ 0 0) into 0 3.004 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.004 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.004 * [taylor]: Taking taylor expansion of re in im 3.004 * [backup-simplify]: Simplify re into re 3.004 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.004 * [backup-simplify]: Simplify (+ 1 0) into 1 3.005 * [backup-simplify]: Simplify (/ 1 1) into 1 3.005 * [backup-simplify]: Simplify (sqrt 0) into 0 3.006 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.006 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 3.006 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.006 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.006 * [taylor]: Taking taylor expansion of 2.0 in im 3.006 * [backup-simplify]: Simplify 2.0 into 2.0 3.007 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.008 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.008 * [taylor]: Taking taylor expansion of im in im 3.008 * [backup-simplify]: Simplify 0 into 0 3.008 * [backup-simplify]: Simplify 1 into 1 3.008 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.008 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 3.009 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 3.009 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.009 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.009 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.009 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.009 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.009 * [taylor]: Taking taylor expansion of im in im 3.009 * [backup-simplify]: Simplify 0 into 0 3.009 * [backup-simplify]: Simplify 1 into 1 3.009 * [backup-simplify]: Simplify (* 1 1) into 1 3.009 * [backup-simplify]: Simplify (/ 1 1) into 1 3.009 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.010 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.010 * [taylor]: Taking taylor expansion of re in im 3.010 * [backup-simplify]: Simplify re into re 3.010 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.010 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.010 * [backup-simplify]: Simplify (+ 1 0) into 1 3.011 * [backup-simplify]: Simplify (sqrt 1) into 1 3.011 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.012 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.012 * [backup-simplify]: Simplify (+ 0 0) into 0 3.013 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.013 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.013 * [taylor]: Taking taylor expansion of re in im 3.013 * [backup-simplify]: Simplify re into re 3.013 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.014 * [backup-simplify]: Simplify (+ 1 0) into 1 3.014 * [backup-simplify]: Simplify (/ 1 1) into 1 3.014 * [backup-simplify]: Simplify (sqrt 0) into 0 3.016 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.016 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.016 * [taylor]: Taking taylor expansion of 0 in re 3.016 * [backup-simplify]: Simplify 0 into 0 3.017 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.019 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.019 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 3.019 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.019 * [taylor]: Taking taylor expansion of +nan.0 in re 3.019 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.020 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.020 * [taylor]: Taking taylor expansion of 2.0 in re 3.020 * [backup-simplify]: Simplify 2.0 into 2.0 3.020 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.021 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.021 * [backup-simplify]: Simplify 0 into 0 3.021 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 3.021 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 3.021 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 3.022 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 3.024 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.025 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.026 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 3.026 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.026 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.026 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.026 * [taylor]: Taking taylor expansion of +nan.0 in re 3.026 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.026 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.026 * [taylor]: Taking taylor expansion of 2.0 in re 3.026 * [backup-simplify]: Simplify 2.0 into 2.0 3.027 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.027 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.027 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.027 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.027 * [taylor]: Taking taylor expansion of +nan.0 in re 3.027 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.027 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.027 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.027 * [taylor]: Taking taylor expansion of 2.0 in re 3.027 * [backup-simplify]: Simplify 2.0 into 2.0 3.028 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.029 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.029 * [taylor]: Taking taylor expansion of re in re 3.029 * [backup-simplify]: Simplify 0 into 0 3.029 * [backup-simplify]: Simplify 1 into 1 3.030 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.031 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.032 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.035 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.037 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.038 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.039 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.041 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.042 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.042 * [backup-simplify]: Simplify 0 into 0 3.043 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.044 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.044 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 3.045 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.046 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.046 * [backup-simplify]: Simplify (- 0) into 0 3.046 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 3.047 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 3.048 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 3.049 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.050 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.052 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 3.052 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 3.052 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 3.052 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.052 * [taylor]: Taking taylor expansion of +nan.0 in re 3.052 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.052 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.052 * [taylor]: Taking taylor expansion of 2.0 in re 3.052 * [backup-simplify]: Simplify 2.0 into 2.0 3.053 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.053 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.053 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.053 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.053 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 3.053 * [taylor]: Taking taylor expansion of +nan.0 in re 3.053 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.053 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 3.053 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.053 * [taylor]: Taking taylor expansion of 2.0 in re 3.053 * [backup-simplify]: Simplify 2.0 into 2.0 3.054 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.055 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.055 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.055 * [taylor]: Taking taylor expansion of re in re 3.055 * [backup-simplify]: Simplify 0 into 0 3.055 * [backup-simplify]: Simplify 1 into 1 3.055 * [backup-simplify]: Simplify (* 1 1) into 1 3.056 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.056 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.056 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.056 * [taylor]: Taking taylor expansion of +nan.0 in re 3.056 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.056 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.056 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.056 * [taylor]: Taking taylor expansion of 2.0 in re 3.056 * [backup-simplify]: Simplify 2.0 into 2.0 3.057 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.057 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.057 * [taylor]: Taking taylor expansion of re in re 3.057 * [backup-simplify]: Simplify 0 into 0 3.057 * [backup-simplify]: Simplify 1 into 1 3.058 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.059 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.060 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.061 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.062 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.063 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.065 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.067 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.070 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.072 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.073 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.078 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))) (+ (- (* +nan.0 (sqrt 2.0))) (* (- (* +nan.0 (sqrt 2.0))) (* (/ 1 (/ 1 re)) (/ 1 im))))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) 3.079 * [backup-simplify]: Simplify (sqrt (* 2.0 (/ (+ (* (/ 1 (- im)) (/ 1 (- im))) 0) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re)))))) into (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 3.079 * [approximate]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 3.079 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 3.079 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in re 3.079 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.079 * [taylor]: Taking taylor expansion of 2.0 in re 3.079 * [backup-simplify]: Simplify 2.0 into 2.0 3.080 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.080 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.080 * [taylor]: Taking taylor expansion of im in re 3.081 * [backup-simplify]: Simplify im into im 3.081 * [backup-simplify]: Simplify (/ (sqrt 2.0) im) into (/ (sqrt 2.0) im) 3.081 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 3.081 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 3.081 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.081 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.081 * [taylor]: Taking taylor expansion of re in re 3.081 * [backup-simplify]: Simplify 0 into 0 3.081 * [backup-simplify]: Simplify 1 into 1 3.082 * [backup-simplify]: Simplify (/ 1 1) into 1 3.082 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.082 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.082 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.082 * [taylor]: Taking taylor expansion of im in re 3.082 * [backup-simplify]: Simplify im into im 3.082 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.082 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.082 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.082 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.082 * [taylor]: Taking taylor expansion of re in re 3.082 * [backup-simplify]: Simplify 0 into 0 3.082 * [backup-simplify]: Simplify 1 into 1 3.083 * [backup-simplify]: Simplify (* 1 1) into 1 3.083 * [backup-simplify]: Simplify (/ 1 1) into 1 3.083 * [backup-simplify]: Simplify (+ 0 1) into 1 3.084 * [backup-simplify]: Simplify (sqrt 1) into 1 3.084 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.085 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.086 * [backup-simplify]: Simplify (+ 0 0) into 0 3.086 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.087 * [backup-simplify]: Simplify (+ 1 1) into 2 3.087 * [backup-simplify]: Simplify (/ 1 2) into 1/2 3.087 * [backup-simplify]: Simplify (sqrt 0) into 0 3.089 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 3.089 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 3.089 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.089 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.089 * [taylor]: Taking taylor expansion of 2.0 in im 3.089 * [backup-simplify]: Simplify 2.0 into 2.0 3.090 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.090 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.090 * [taylor]: Taking taylor expansion of im in im 3.090 * [backup-simplify]: Simplify 0 into 0 3.090 * [backup-simplify]: Simplify 1 into 1 3.091 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.092 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 3.092 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.092 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.092 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.092 * [taylor]: Taking taylor expansion of re in im 3.092 * [backup-simplify]: Simplify re into re 3.092 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.092 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.092 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.092 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.092 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.092 * [taylor]: Taking taylor expansion of im in im 3.092 * [backup-simplify]: Simplify 0 into 0 3.092 * [backup-simplify]: Simplify 1 into 1 3.092 * [backup-simplify]: Simplify (* 1 1) into 1 3.093 * [backup-simplify]: Simplify (/ 1 1) into 1 3.093 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.093 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.093 * [taylor]: Taking taylor expansion of re in im 3.093 * [backup-simplify]: Simplify re into re 3.093 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.093 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.094 * [backup-simplify]: Simplify (+ 1 0) into 1 3.094 * [backup-simplify]: Simplify (sqrt 1) into 1 3.095 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.095 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.096 * [backup-simplify]: Simplify (+ 0 0) into 0 3.096 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.097 * [backup-simplify]: Simplify (+ 0 1) into 1 3.097 * [backup-simplify]: Simplify (/ 1 1) into 1 3.098 * [backup-simplify]: Simplify (sqrt 0) into 0 3.099 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.099 * [taylor]: Taking taylor expansion of (* (/ (sqrt 2.0) im) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 3.099 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) im) in im 3.099 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 3.099 * [taylor]: Taking taylor expansion of 2.0 in im 3.099 * [backup-simplify]: Simplify 2.0 into 2.0 3.100 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.100 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.100 * [taylor]: Taking taylor expansion of im in im 3.100 * [backup-simplify]: Simplify 0 into 0 3.100 * [backup-simplify]: Simplify 1 into 1 3.101 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.101 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 3.101 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 3.101 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.102 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.102 * [taylor]: Taking taylor expansion of re in im 3.102 * [backup-simplify]: Simplify re into re 3.102 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.102 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.102 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.102 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.102 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.102 * [taylor]: Taking taylor expansion of im in im 3.102 * [backup-simplify]: Simplify 0 into 0 3.102 * [backup-simplify]: Simplify 1 into 1 3.102 * [backup-simplify]: Simplify (* 1 1) into 1 3.103 * [backup-simplify]: Simplify (/ 1 1) into 1 3.103 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.103 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.103 * [taylor]: Taking taylor expansion of re in im 3.103 * [backup-simplify]: Simplify re into re 3.103 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.103 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.103 * [backup-simplify]: Simplify (+ 1 0) into 1 3.104 * [backup-simplify]: Simplify (sqrt 1) into 1 3.104 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.105 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.106 * [backup-simplify]: Simplify (+ 0 0) into 0 3.106 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.107 * [backup-simplify]: Simplify (+ 0 1) into 1 3.107 * [backup-simplify]: Simplify (/ 1 1) into 1 3.107 * [backup-simplify]: Simplify (sqrt 0) into 0 3.109 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 3.109 * [backup-simplify]: Simplify (* (sqrt 2.0) 0) into 0 3.109 * [taylor]: Taking taylor expansion of 0 in re 3.109 * [backup-simplify]: Simplify 0 into 0 3.109 * [backup-simplify]: Simplify 0 into 0 3.110 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.112 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) +nan.0) (* 0 0)) into (- (* +nan.0 (sqrt 2.0))) 3.112 * [taylor]: Taking taylor expansion of (- (* +nan.0 (sqrt 2.0))) in re 3.113 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.113 * [taylor]: Taking taylor expansion of +nan.0 in re 3.113 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.113 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.113 * [taylor]: Taking taylor expansion of 2.0 in re 3.113 * [backup-simplify]: Simplify 2.0 into 2.0 3.113 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.114 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.115 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.116 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.118 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.118 * [backup-simplify]: Simplify 0 into 0 3.118 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 3.118 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 3.119 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 3.120 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.122 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.123 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) 3.123 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.123 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.123 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.123 * [taylor]: Taking taylor expansion of +nan.0 in re 3.123 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.123 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.123 * [taylor]: Taking taylor expansion of 2.0 in re 3.123 * [backup-simplify]: Simplify 2.0 into 2.0 3.124 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.124 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.125 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.125 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.125 * [taylor]: Taking taylor expansion of +nan.0 in re 3.125 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.125 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.125 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.125 * [taylor]: Taking taylor expansion of 2.0 in re 3.125 * [backup-simplify]: Simplify 2.0 into 2.0 3.125 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.133 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.133 * [taylor]: Taking taylor expansion of re in re 3.133 * [backup-simplify]: Simplify 0 into 0 3.133 * [backup-simplify]: Simplify 1 into 1 3.134 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.135 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.136 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.137 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.138 * [backup-simplify]: Simplify (- 0) into 0 3.139 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.142 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.143 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.144 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.144 * [backup-simplify]: Simplify (- 0) into 0 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify 0 into 0 3.144 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 3.145 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.145 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.145 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 3.146 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 3.146 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 3.146 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 3.147 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 3.148 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 3.149 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.150 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) 3.150 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))))) in re 3.150 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))))) in re 3.150 * [taylor]: Taking taylor expansion of (* +nan.0 (sqrt 2.0)) in re 3.150 * [taylor]: Taking taylor expansion of +nan.0 in re 3.150 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.150 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.150 * [taylor]: Taking taylor expansion of 2.0 in re 3.150 * [backup-simplify]: Simplify 2.0 into 2.0 3.150 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.151 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.151 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re))))) in re 3.151 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (sqrt 2.0) (pow re 2))) (- (* +nan.0 (/ (sqrt 2.0) re)))) in re 3.151 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) (pow re 2))) in re 3.151 * [taylor]: Taking taylor expansion of +nan.0 in re 3.151 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.151 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) (pow re 2)) in re 3.151 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.151 * [taylor]: Taking taylor expansion of 2.0 in re 3.151 * [backup-simplify]: Simplify 2.0 into 2.0 3.151 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.152 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.152 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.152 * [taylor]: Taking taylor expansion of re in re 3.152 * [backup-simplify]: Simplify 0 into 0 3.152 * [backup-simplify]: Simplify 1 into 1 3.152 * [backup-simplify]: Simplify (* 1 1) into 1 3.153 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.153 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (sqrt 2.0) re))) in re 3.153 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (sqrt 2.0) re)) in re 3.153 * [taylor]: Taking taylor expansion of +nan.0 in re 3.153 * [backup-simplify]: Simplify +nan.0 into +nan.0 3.153 * [taylor]: Taking taylor expansion of (/ (sqrt 2.0) re) in re 3.153 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 3.153 * [taylor]: Taking taylor expansion of 2.0 in re 3.153 * [backup-simplify]: Simplify 2.0 into 2.0 3.153 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 3.153 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 3.153 * [taylor]: Taking taylor expansion of re in re 3.153 * [backup-simplify]: Simplify 0 into 0 3.153 * [backup-simplify]: Simplify 1 into 1 3.154 * [backup-simplify]: Simplify (/ (sqrt 2.0) 1) into (sqrt 2.0) 3.154 * [backup-simplify]: Simplify (* +nan.0 (sqrt 2.0)) into (* +nan.0 (sqrt 2.0)) 3.155 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 3.156 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.156 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.156 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.157 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.158 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 3.158 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (sqrt 2.0) (/ 0 1)))) into 0 3.159 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (sqrt 2.0))) into 0 3.159 * [backup-simplify]: Simplify (- 0) into 0 3.159 * [backup-simplify]: Simplify (+ 0 0) into 0 3.159 * [backup-simplify]: Simplify (- 0) into 0 3.160 * [backup-simplify]: Simplify (+ (* +nan.0 (sqrt 2.0)) 0) into (- (* +nan.0 (sqrt 2.0))) 3.161 * [backup-simplify]: Simplify (- (- (* +nan.0 (sqrt 2.0)))) into (- (* +nan.0 (sqrt 2.0))) 3.162 * [backup-simplify]: Simplify (- (* +nan.0 (sqrt 2.0))) into (- (* +nan.0 (sqrt 2.0))) 3.165 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (sqrt 2.0))) (pow (* 1 (/ 1 (- im))) 2)) (+ (* (- (* +nan.0 (sqrt 2.0))) (* 1 (/ 1 (- im)))) (- (* +nan.0 (sqrt 2.0))))) into (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) 3.165 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2 2) 3.165 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 3.165 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 3.166 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 3.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 3.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 3.166 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.166 * [taylor]: Taking taylor expansion of re in im 3.166 * [backup-simplify]: Simplify re into re 3.166 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.166 * [taylor]: Taking taylor expansion of im in im 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 1 into 1 3.166 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.166 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 3.166 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 3.166 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 3.166 * [backup-simplify]: Simplify (+ 0 0) into 0 3.166 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 3.166 * [taylor]: Taking taylor expansion of re in im 3.166 * [backup-simplify]: Simplify re into re 3.166 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 3.166 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.166 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.166 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.166 * [taylor]: Taking taylor expansion of re in re 3.166 * [backup-simplify]: Simplify 0 into 0 3.166 * [backup-simplify]: Simplify 1 into 1 3.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.167 * [taylor]: Taking taylor expansion of im in re 3.167 * [backup-simplify]: Simplify im into im 3.167 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.167 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.167 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.167 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.167 * [backup-simplify]: Simplify (+ 0 0) into 0 3.167 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.167 * [taylor]: Taking taylor expansion of re in re 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 1 into 1 3.167 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 3.167 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 3.167 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 3.167 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.167 * [taylor]: Taking taylor expansion of re in re 3.167 * [backup-simplify]: Simplify 0 into 0 3.167 * [backup-simplify]: Simplify 1 into 1 3.167 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.167 * [taylor]: Taking taylor expansion of im in re 3.167 * [backup-simplify]: Simplify im into im 3.167 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.168 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 3.168 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 3.168 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.168 * [backup-simplify]: Simplify (+ 0 0) into 0 3.168 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 3.168 * [taylor]: Taking taylor expansion of re in re 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.168 * [backup-simplify]: Simplify (- 0) into 0 3.168 * [backup-simplify]: Simplify (+ im 0) into im 3.168 * [taylor]: Taking taylor expansion of im in im 3.168 * [backup-simplify]: Simplify 0 into 0 3.168 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify 0 into 0 3.169 * [backup-simplify]: Simplify (- 1) into -1 3.169 * [backup-simplify]: Simplify (+ 0 -1) into -1 3.169 * [taylor]: Taking taylor expansion of -1 in im 3.169 * [backup-simplify]: Simplify -1 into -1 3.169 * [backup-simplify]: Simplify -1 into -1 3.169 * [backup-simplify]: Simplify 1 into 1 3.169 * [backup-simplify]: Simplify (* 1 1) into 1 3.170 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 3.170 * [backup-simplify]: Simplify (+ 1 0) into 1 3.170 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 3.171 * [backup-simplify]: Simplify (- 0) into 0 3.171 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 3.171 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 3.171 * [taylor]: Taking taylor expansion of 1/2 in im 3.171 * [backup-simplify]: Simplify 1/2 into 1/2 3.171 * [taylor]: Taking taylor expansion of (/ 1 im) in im 3.171 * [taylor]: Taking taylor expansion of im in im 3.171 * [backup-simplify]: Simplify 0 into 0 3.171 * [backup-simplify]: Simplify 1 into 1 3.171 * [backup-simplify]: Simplify (/ 1 1) into 1 3.171 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.172 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify 0 into 0 3.172 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.173 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 3.173 * [backup-simplify]: Simplify (+ 0 0) into 0 3.173 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 3.173 * [backup-simplify]: Simplify (- 0) into 0 3.174 * [backup-simplify]: Simplify (+ 0 0) into 0 3.174 * [taylor]: Taking taylor expansion of 0 in im 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify 0 into 0 3.174 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.175 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify 0 into 0 3.175 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 3.175 * [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)) 3.175 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 3.175 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 3.175 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.175 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.175 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.175 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.175 * [taylor]: Taking taylor expansion of im in im 3.176 * [backup-simplify]: Simplify 0 into 0 3.176 * [backup-simplify]: Simplify 1 into 1 3.176 * [backup-simplify]: Simplify (* 1 1) into 1 3.176 * [backup-simplify]: Simplify (/ 1 1) into 1 3.176 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.176 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.176 * [taylor]: Taking taylor expansion of re in im 3.176 * [backup-simplify]: Simplify re into re 3.177 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.177 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.177 * [backup-simplify]: Simplify (+ 1 0) into 1 3.178 * [backup-simplify]: Simplify (sqrt 1) into 1 3.178 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.179 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.179 * [backup-simplify]: Simplify (+ 0 0) into 0 3.180 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.180 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.180 * [taylor]: Taking taylor expansion of re in im 3.180 * [backup-simplify]: Simplify re into re 3.180 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.180 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.180 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.180 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.180 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.180 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.180 * [taylor]: Taking taylor expansion of im in re 3.180 * [backup-simplify]: Simplify im into im 3.180 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.181 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.181 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.181 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.181 * [taylor]: Taking taylor expansion of re in re 3.181 * [backup-simplify]: Simplify 0 into 0 3.181 * [backup-simplify]: Simplify 1 into 1 3.181 * [backup-simplify]: Simplify (* 1 1) into 1 3.182 * [backup-simplify]: Simplify (/ 1 1) into 1 3.182 * [backup-simplify]: Simplify (+ 0 1) into 1 3.182 * [backup-simplify]: Simplify (sqrt 1) into 1 3.183 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.184 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.184 * [backup-simplify]: Simplify (+ 0 0) into 0 3.185 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.185 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.185 * [taylor]: Taking taylor expansion of re in re 3.185 * [backup-simplify]: Simplify 0 into 0 3.185 * [backup-simplify]: Simplify 1 into 1 3.185 * [backup-simplify]: Simplify (/ 1 1) into 1 3.185 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 3.185 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.185 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.186 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.186 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.186 * [taylor]: Taking taylor expansion of im in re 3.186 * [backup-simplify]: Simplify im into im 3.186 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.186 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.186 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.186 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.186 * [taylor]: Taking taylor expansion of re in re 3.186 * [backup-simplify]: Simplify 0 into 0 3.186 * [backup-simplify]: Simplify 1 into 1 3.186 * [backup-simplify]: Simplify (* 1 1) into 1 3.187 * [backup-simplify]: Simplify (/ 1 1) into 1 3.187 * [backup-simplify]: Simplify (+ 0 1) into 1 3.188 * [backup-simplify]: Simplify (sqrt 1) into 1 3.188 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.189 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.189 * [backup-simplify]: Simplify (+ 0 0) into 0 3.190 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.190 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.190 * [taylor]: Taking taylor expansion of re in re 3.190 * [backup-simplify]: Simplify 0 into 0 3.190 * [backup-simplify]: Simplify 1 into 1 3.191 * [backup-simplify]: Simplify (/ 1 1) into 1 3.191 * [backup-simplify]: Simplify (- 1) into -1 3.191 * [backup-simplify]: Simplify (+ 1 -1) into 0 3.191 * [taylor]: Taking taylor expansion of 0 in im 3.192 * [backup-simplify]: Simplify 0 into 0 3.192 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.193 * [backup-simplify]: Simplify (- 0) into 0 3.193 * [backup-simplify]: Simplify (+ 0 0) into 0 3.193 * [taylor]: Taking taylor expansion of 0 in im 3.193 * [backup-simplify]: Simplify 0 into 0 3.193 * [backup-simplify]: Simplify 0 into 0 3.194 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.195 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.195 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.197 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.197 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.198 * [backup-simplify]: Simplify (- 0) into 0 3.198 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 3.198 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.198 * [taylor]: Taking taylor expansion of 1/2 in im 3.198 * [backup-simplify]: Simplify 1/2 into 1/2 3.198 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.198 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.198 * [taylor]: Taking taylor expansion of im in im 3.198 * [backup-simplify]: Simplify 0 into 0 3.198 * [backup-simplify]: Simplify 1 into 1 3.199 * [backup-simplify]: Simplify (* 1 1) into 1 3.199 * [backup-simplify]: Simplify (/ 1 1) into 1 3.200 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.200 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.201 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.201 * [backup-simplify]: Simplify 0 into 0 3.201 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify 0 into 0 3.202 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.202 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.203 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.204 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.204 * [backup-simplify]: Simplify (+ 0 0) into 0 3.205 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.206 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.206 * [backup-simplify]: Simplify (- 0) into 0 3.207 * [backup-simplify]: Simplify (+ 0 0) into 0 3.207 * [taylor]: Taking taylor expansion of 0 in im 3.207 * [backup-simplify]: Simplify 0 into 0 3.208 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.209 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.210 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [backup-simplify]: Simplify 0 into 0 3.210 * [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))))) 3.210 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 3.210 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 3.210 * [taylor]: Taking taylor expansion of (/ 1 re) in im 3.210 * [taylor]: Taking taylor expansion of re in im 3.210 * [backup-simplify]: Simplify re into re 3.211 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 3.211 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 3.211 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 3.211 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.211 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.211 * [taylor]: Taking taylor expansion of im in im 3.211 * [backup-simplify]: Simplify 0 into 0 3.211 * [backup-simplify]: Simplify 1 into 1 3.211 * [backup-simplify]: Simplify (* 1 1) into 1 3.212 * [backup-simplify]: Simplify (/ 1 1) into 1 3.212 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 3.212 * [taylor]: Taking taylor expansion of (pow re 2) in im 3.212 * [taylor]: Taking taylor expansion of re in im 3.212 * [backup-simplify]: Simplify re into re 3.212 * [backup-simplify]: Simplify (* re re) into (pow re 2) 3.212 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 3.212 * [backup-simplify]: Simplify (+ 1 0) into 1 3.213 * [backup-simplify]: Simplify (sqrt 1) into 1 3.213 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.214 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.214 * [backup-simplify]: Simplify (+ 0 0) into 0 3.215 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.215 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.215 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.215 * [taylor]: Taking taylor expansion of re in re 3.215 * [backup-simplify]: Simplify 0 into 0 3.215 * [backup-simplify]: Simplify 1 into 1 3.216 * [backup-simplify]: Simplify (/ 1 1) into 1 3.216 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.216 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.216 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.216 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.216 * [taylor]: Taking taylor expansion of im in re 3.216 * [backup-simplify]: Simplify im into im 3.216 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.216 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.216 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.216 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.216 * [taylor]: Taking taylor expansion of re in re 3.216 * [backup-simplify]: Simplify 0 into 0 3.216 * [backup-simplify]: Simplify 1 into 1 3.217 * [backup-simplify]: Simplify (* 1 1) into 1 3.217 * [backup-simplify]: Simplify (/ 1 1) into 1 3.217 * [backup-simplify]: Simplify (+ 0 1) into 1 3.218 * [backup-simplify]: Simplify (sqrt 1) into 1 3.218 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.219 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.220 * [backup-simplify]: Simplify (+ 0 0) into 0 3.220 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.220 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 3.220 * [taylor]: Taking taylor expansion of (/ 1 re) in re 3.220 * [taylor]: Taking taylor expansion of re in re 3.220 * [backup-simplify]: Simplify 0 into 0 3.220 * [backup-simplify]: Simplify 1 into 1 3.221 * [backup-simplify]: Simplify (/ 1 1) into 1 3.221 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 3.221 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 3.221 * [taylor]: Taking taylor expansion of (pow im 2) in re 3.221 * [taylor]: Taking taylor expansion of im in re 3.221 * [backup-simplify]: Simplify im into im 3.221 * [backup-simplify]: Simplify (* im im) into (pow im 2) 3.221 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 3.221 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 3.221 * [taylor]: Taking taylor expansion of (pow re 2) in re 3.221 * [taylor]: Taking taylor expansion of re in re 3.221 * [backup-simplify]: Simplify 0 into 0 3.221 * [backup-simplify]: Simplify 1 into 1 3.222 * [backup-simplify]: Simplify (* 1 1) into 1 3.222 * [backup-simplify]: Simplify (/ 1 1) into 1 3.223 * [backup-simplify]: Simplify (+ 0 1) into 1 3.223 * [backup-simplify]: Simplify (sqrt 1) into 1 3.224 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.224 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.225 * [backup-simplify]: Simplify (+ 0 0) into 0 3.225 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 3.226 * [backup-simplify]: Simplify (+ 1 1) into 2 3.226 * [taylor]: Taking taylor expansion of 2 in im 3.226 * [backup-simplify]: Simplify 2 into 2 3.227 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.227 * [backup-simplify]: Simplify (+ 0 0) into 0 3.227 * [taylor]: Taking taylor expansion of 0 in im 3.227 * [backup-simplify]: Simplify 0 into 0 3.227 * [backup-simplify]: Simplify 2 into 2 3.228 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.229 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.230 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.230 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 3.232 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 3.232 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 3.232 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 3.232 * [taylor]: Taking taylor expansion of 1/2 in im 3.232 * [backup-simplify]: Simplify 1/2 into 1/2 3.232 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 3.232 * [taylor]: Taking taylor expansion of (pow im 2) in im 3.232 * [taylor]: Taking taylor expansion of im in im 3.232 * [backup-simplify]: Simplify 0 into 0 3.232 * [backup-simplify]: Simplify 1 into 1 3.232 * [backup-simplify]: Simplify (* 1 1) into 1 3.233 * [backup-simplify]: Simplify (/ 1 1) into 1 3.233 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 3.234 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 3.235 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 0 into 0 3.235 * [backup-simplify]: Simplify 0 into 0 3.236 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.236 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 3.237 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 3.238 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 3.239 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.239 * [backup-simplify]: Simplify (+ 0 0) into 0 3.240 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 3.240 * [backup-simplify]: Simplify (+ 0 0) into 0 3.240 * [taylor]: Taking taylor expansion of 0 in im 3.240 * [backup-simplify]: Simplify 0 into 0 3.241 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 3.242 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 3.243 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify 0 into 0 3.243 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 3.244 * * * [progress]: simplifying candidates 3.247 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (- (log (+ (* im im) 0)) (log (- (sqrt (+ (* re re) (* im im))) re))) (log (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (exp (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (* (+ (* im im) 0) (+ (* im im) 0)) (+ (* im im) 0)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (* (* (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)) (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (- (+ (* im im) 0)) (- (- (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (+ (* im im) 0)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (+ (* im im) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) 1) (/ (cbrt (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (cbrt (+ (* im im) 0)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (cbrt (+ (* im im) 0)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* (cbrt (+ (* im im) 0)) (cbrt (+ (* im im) 0))) 1) (/ (cbrt (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (sqrt (+ (* im im) 0)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (sqrt (+ (* im im) 0)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (* im im) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (* im im) 0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (sqrt (+ (* im im) 0)) 1) (/ (sqrt (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (sqrt (+ (* im im) 0)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (sqrt (+ (* im im) 0)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (sqrt (+ (* im im) 0)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (sqrt (+ (* im im) 0)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (sqrt (+ (* im im) 0)) 1) (/ (sqrt (+ (* im im) 0)) (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (+ (* im im) 0) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (+ (* im im) 0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ 1 1) (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (+ (* im im) 0) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (+ (* im im) 0) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ 1 1) (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (- (sqrt (+ (* re re) (* im im))) re)) (/ (- (sqrt (+ (* re re) (* im im))) re) (+ (* im im) 0)) (/ (+ (* im im) 0) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (+ (* im im) 0) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (+ (* im im) 0) 1) (/ (+ (* im im) 0) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (+ (* im im) 0) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (+ (* im im) 0) 1) (/ (- (sqrt (+ (* re re) (* im im))) re) (cbrt (+ (* im im) 0))) (/ (- (sqrt (+ (* re re) (* im im))) re) (sqrt (+ (* im im) 0))) (/ (- (sqrt (+ (* re re) (* im im))) re) (+ (* im im) 0)) (/ (+ (* im im) 0) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (+ (* im im) 0) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re))) (* (- (sqrt (+ (* re re) (* im im))) re) (+ (* (* im im) (* im im)) (- (* 0 0) (* (* im im) 0)))) (* (- (sqrt (+ (* re re) (* im im))) re) (- (* im im) 0)) (log (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (* (* (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt 2.0) (sqrt (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (+ (* im im) 0))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (+ (* im im) 0) (- (sqrt (+ (* re re) (* im im))) re))))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- re) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) im re (* -1 re) (* 2 re) (+ re im) 0 (- (+ (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (- (+ (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) re))) (- (* +nan.0 (* (sqrt 2.0) (* (sqrt 2) (pow re 2))))))))) (- (+ (* +nan.0 (sqrt 2.0)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) re) im)) (- (* +nan.0 (/ (* (sqrt 2.0) re) (pow im 2)))))))) (- (+ (* +nan.0 (/ (sqrt 2.0) (pow im 2))) (- (+ (* +nan.0 (/ (sqrt 2.0) im)) (- (* +nan.0 (sqrt 2.0))))))) (- im re) 0 (* -2 re) 3.252 * * [simplify]: Extracting # 0 : cost 0 3.253 * * [simplify]: Extracting # 1 : cost 0 3.253 * * [simplify]: Extracting # 2 : cost 0 3.254 * * [simplify]: Extracting # 3 : cost 0 3.254 * * [simplify]: Extracting # 4 : cost 0 3.254 * * [simplify]: Extracting # 5 : cost 0 3.255 * * [simplify]: Extracting # 6 : cost 0 3.255 * * [simplify]: Extracting # 7 : cost 0 3.256 * * [simplify]: Extracting # 8 : cost 0 3.256 * * [simplify]: Extracting # 9 : cost 0 3.257 * * [simplify]: Extracting # 10 : cost 0 3.257 * * [simplify]: Extracting # 11 : cost 0 3.257 * * [simplify]: Extracting # 12 : cost 0 3.258 * * [simplify]: Extracting # 13 : cost 0 3.258 * * [simplify]: iteration 0 : 174 enodes (cost 1974 ) 3.317 * * [simplify]: Extracting # 0 : cost 0 3.318 * * [simplify]: Extracting # 1 : cost 0 3.319 * * [simplify]: Extracting # 2 : cost 0 3.320 * * [simplify]: Extracting # 3 : cost 0 3.321 * * [simplify]: Extracting # 4 : cost 0 3.322 * * [simplify]: iteration 1 : 429 enodes (cost 1702 ) 3.698 * * [simplify]: Extracting # 0 : cost 0 3.709 * * [simplify]: Extracting # 1 : cost 0 3.715 * * [simplify]: Extracting # 2 : cost 0 3.718 * * [simplify]: Extracting # 3 : cost 0 3.720 * * [simplify]: Extracting # 4 : cost 0 3.723 * * [simplify]: iteration 2 : 2204 enodes (cost 1554 ) 5.094 * * [simplify]: Extracting # 0 : cost 0 5.115 * * [simplify]: Extracting # 1 : cost 0 5.126 * * [simplify]: Extracting # 2 : cost 0 5.132 * * [simplify]: Extracting # 3 : cost 0 5.139 * * [simplify]: iteration done: 5000 enodes (cost 1538 ) 5.139 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (pow im 2) (- (pow im 2) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (log (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (exp (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 6) (pow (- (sqrt (+ (* re re) (* im im))) re) 3)) (* (cbrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 6) (pow (- (sqrt (+ (* re re) (* im im))) re) 3)) (sqrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (- (* im im)) (- (- (sqrt (+ (* re re) (* im im))) re)) (* (/ (cbrt (pow im 2)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (pow im 2)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (cbrt (pow im 2)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (cbrt (pow im 2)) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (cbrt (pow im 2)) (cbrt (pow im 2))) (/ (cbrt (pow im 2)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (cbrt (pow im 2)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (* (cbrt (pow im 2)) (cbrt (pow im 2))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (cbrt (pow im 2)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (* (cbrt (pow im 2)) (cbrt (pow im 2))) (/ (cbrt (pow im 2)) (- (sqrt (+ (* re re) (* im im))) re)) (/ (fabs im) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)) (/ (fabs im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (fabs im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (fabs im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (fabs im) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im 2) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (pow im 2) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) 1 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (pow im 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (pow im 2) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) 1 (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 (- (sqrt (+ (* re re) (* im im))) re)) (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (pow im 2) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (pow im 2) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* im im) (/ (pow im 2) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (pow im 2) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (* im im) (/ (- (sqrt (+ (* re re) (* im im))) re) (cbrt (pow im 2))) (/ (- (sqrt (+ (* re re) (* im im))) re) (fabs im)) (/ (- (sqrt (+ (* re re) (* im im))) re) (pow im 2)) (/ (* im im) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ im (/ (* im im) im)) (* (- (sqrt (+ (* re re) (* im im))) re) (pow im 4)) (* (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) (log (sqrt (* (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) 2.0))) (exp (sqrt (* (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) 2.0))) (* (cbrt (sqrt (* (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) 2.0))) (cbrt (sqrt (* (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) 2.0)))) (cbrt (sqrt (* (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) 2.0))) (pow (sqrt (* (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) 2.0)) 3) (sqrt 2.0) (sqrt (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* (pow im 2) 2.0)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 (sqrt (sqrt (* (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) 2.0))) (sqrt (sqrt (* (/ (pow im 2) (- (sqrt (+ (* re re) (* im im))) re)) 2.0))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (+ (* re re) (* im im)) (* re (+ (sqrt (+ (* re re) (* im im))) re))) (- re) (* im im) (+ (sqrt (+ (* re re) (* im im))) re) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)) (- (sqrt (+ (* re re) (* im im))) re) (- re) im re (- re) (* 2 re) (+ re im) 0 (- (- (* +nan.0 (/ (* (sqrt 2.0) (pow im 2)) (sqrt 2))) (* (* (sqrt 2.0) +nan.0) (- (* (sqrt 2) re) (* (sqrt 2) (pow re 2)))))) (+ (* +nan.0 (- (/ (* (sqrt 2.0) re) im) (/ (* (sqrt 2.0) re) (pow im 2)))) (- (* +nan.0 (sqrt 2.0)))) (+ (* +nan.0 (- (/ (sqrt 2.0) im) (sqrt 2.0))) (- (* +nan.0 (/ (sqrt 2.0) (pow im 2))))) (- im re) 0 (* -2 re) 5.140 * * * [progress]: adding candidates to table 5.584 * * [progress]: iteration 4 / 4 5.584 * * * [progress]: picking best candidate 5.622 * * * * [pick]: Picked # 5.623 * * * [progress]: localizing error 5.639 * * * [progress]: generating rewritten candidates 5.639 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2 2 1) 5.648 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2) 6.204 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2 1 2 2 2) 6.266 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 6.383 * * * [progress]: generating series expansions 6.383 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2 2 1) 6.383 * [backup-simplify]: Simplify (sqrt (+ (* re re) (* im im))) into (sqrt (+ (pow re 2) (pow im 2))) 6.383 * [approximate]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in (re im) around 0 6.383 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.383 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.383 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.383 * [taylor]: Taking taylor expansion of re in im 6.383 * [backup-simplify]: Simplify re into re 6.384 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.384 * [taylor]: Taking taylor expansion of im in im 6.384 * [backup-simplify]: Simplify 0 into 0 6.384 * [backup-simplify]: Simplify 1 into 1 6.384 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.384 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.384 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.384 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.385 * [backup-simplify]: Simplify (+ 0 0) into 0 6.385 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.385 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.385 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.385 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.385 * [taylor]: Taking taylor expansion of re in re 6.385 * [backup-simplify]: Simplify 0 into 0 6.385 * [backup-simplify]: Simplify 1 into 1 6.385 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.385 * [taylor]: Taking taylor expansion of im in re 6.385 * [backup-simplify]: Simplify im into im 6.385 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.386 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.386 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.386 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.386 * [backup-simplify]: Simplify (+ 0 0) into 0 6.386 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.386 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.386 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.386 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.387 * [taylor]: Taking taylor expansion of re in re 6.387 * [backup-simplify]: Simplify 0 into 0 6.387 * [backup-simplify]: Simplify 1 into 1 6.387 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.387 * [taylor]: Taking taylor expansion of im in re 6.387 * [backup-simplify]: Simplify im into im 6.387 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.387 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.387 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.387 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.388 * [backup-simplify]: Simplify (+ 0 0) into 0 6.388 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.388 * [taylor]: Taking taylor expansion of im in im 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 1 into 1 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [taylor]: Taking taylor expansion of 0 in im 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 0 into 0 6.388 * [backup-simplify]: Simplify 1 into 1 6.389 * [backup-simplify]: Simplify (* 1 1) into 1 6.389 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.390 * [backup-simplify]: Simplify (+ 1 0) into 1 6.390 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.390 * [taylor]: Taking taylor expansion of (/ 1/2 im) in im 6.390 * [taylor]: Taking taylor expansion of 1/2 in im 6.391 * [backup-simplify]: Simplify 1/2 into 1/2 6.391 * [taylor]: Taking taylor expansion of im in im 6.391 * [backup-simplify]: Simplify 0 into 0 6.391 * [backup-simplify]: Simplify 1 into 1 6.391 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.392 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.392 * [backup-simplify]: Simplify 0 into 0 6.392 * [backup-simplify]: Simplify 0 into 0 6.392 * [backup-simplify]: Simplify 0 into 0 6.393 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.394 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.394 * [backup-simplify]: Simplify (+ 0 0) into 0 6.394 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.394 * [taylor]: Taking taylor expansion of 0 in im 6.394 * [backup-simplify]: Simplify 0 into 0 6.394 * [backup-simplify]: Simplify 0 into 0 6.395 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.395 * [backup-simplify]: Simplify 0 into 0 6.395 * [backup-simplify]: Simplify 0 into 0 6.396 * [backup-simplify]: Simplify (* 1 (* im 1)) into im 6.396 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.396 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.396 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.396 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.396 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.396 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.396 * [taylor]: Taking taylor expansion of im in im 6.396 * [backup-simplify]: Simplify 0 into 0 6.396 * [backup-simplify]: Simplify 1 into 1 6.397 * [backup-simplify]: Simplify (* 1 1) into 1 6.397 * [backup-simplify]: Simplify (/ 1 1) into 1 6.397 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.397 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.397 * [taylor]: Taking taylor expansion of re in im 6.397 * [backup-simplify]: Simplify re into re 6.397 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.397 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.398 * [backup-simplify]: Simplify (+ 1 0) into 1 6.398 * [backup-simplify]: Simplify (sqrt 1) into 1 6.399 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.400 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.400 * [backup-simplify]: Simplify (+ 0 0) into 0 6.401 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.401 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.401 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.401 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.401 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.401 * [taylor]: Taking taylor expansion of im in re 6.401 * [backup-simplify]: Simplify im into im 6.401 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.402 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.402 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.402 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.402 * [taylor]: Taking taylor expansion of re in re 6.402 * [backup-simplify]: Simplify 0 into 0 6.402 * [backup-simplify]: Simplify 1 into 1 6.402 * [backup-simplify]: Simplify (* 1 1) into 1 6.403 * [backup-simplify]: Simplify (/ 1 1) into 1 6.403 * [backup-simplify]: Simplify (+ 0 1) into 1 6.404 * [backup-simplify]: Simplify (sqrt 1) into 1 6.404 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.405 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.406 * [backup-simplify]: Simplify (+ 0 0) into 0 6.406 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.406 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.406 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.406 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.406 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.406 * [taylor]: Taking taylor expansion of im in re 6.406 * [backup-simplify]: Simplify im into im 6.406 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.407 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.407 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.407 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.407 * [taylor]: Taking taylor expansion of re in re 6.407 * [backup-simplify]: Simplify 0 into 0 6.407 * [backup-simplify]: Simplify 1 into 1 6.407 * [backup-simplify]: Simplify (* 1 1) into 1 6.408 * [backup-simplify]: Simplify (/ 1 1) into 1 6.408 * [backup-simplify]: Simplify (+ 0 1) into 1 6.408 * [backup-simplify]: Simplify (sqrt 1) into 1 6.409 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.410 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.410 * [backup-simplify]: Simplify (+ 0 0) into 0 6.411 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.411 * [taylor]: Taking taylor expansion of 1 in im 6.411 * [backup-simplify]: Simplify 1 into 1 6.411 * [taylor]: Taking taylor expansion of 0 in im 6.411 * [backup-simplify]: Simplify 0 into 0 6.411 * [backup-simplify]: Simplify 1 into 1 6.412 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.413 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.413 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.415 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.415 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.415 * [taylor]: Taking taylor expansion of 1/2 in im 6.415 * [backup-simplify]: Simplify 1/2 into 1/2 6.415 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.415 * [taylor]: Taking taylor expansion of im in im 6.415 * [backup-simplify]: Simplify 0 into 0 6.415 * [backup-simplify]: Simplify 1 into 1 6.415 * [backup-simplify]: Simplify (* 1 1) into 1 6.416 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.416 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.417 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify 0 into 0 6.417 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.418 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.419 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.419 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.420 * [backup-simplify]: Simplify (+ 0 0) into 0 6.420 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.420 * [taylor]: Taking taylor expansion of 0 in im 6.420 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.421 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify 0 into 0 6.421 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 re)))) into re 6.421 * [backup-simplify]: Simplify (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) into (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) 6.421 * [approximate]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in (re im) around 0 6.422 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.422 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.422 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.422 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.422 * [taylor]: Taking taylor expansion of im in im 6.422 * [backup-simplify]: Simplify 0 into 0 6.422 * [backup-simplify]: Simplify 1 into 1 6.422 * [backup-simplify]: Simplify (* 1 1) into 1 6.422 * [backup-simplify]: Simplify (/ 1 1) into 1 6.422 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.422 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.422 * [taylor]: Taking taylor expansion of re in im 6.422 * [backup-simplify]: Simplify re into re 6.422 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.422 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.423 * [backup-simplify]: Simplify (+ 1 0) into 1 6.423 * [backup-simplify]: Simplify (sqrt 1) into 1 6.423 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.424 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.424 * [backup-simplify]: Simplify (+ 0 0) into 0 6.424 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.424 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.424 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.424 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.424 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.424 * [taylor]: Taking taylor expansion of im in re 6.424 * [backup-simplify]: Simplify im into im 6.424 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.425 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.425 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.425 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.425 * [taylor]: Taking taylor expansion of re in re 6.425 * [backup-simplify]: Simplify 0 into 0 6.425 * [backup-simplify]: Simplify 1 into 1 6.425 * [backup-simplify]: Simplify (* 1 1) into 1 6.425 * [backup-simplify]: Simplify (/ 1 1) into 1 6.425 * [backup-simplify]: Simplify (+ 0 1) into 1 6.426 * [backup-simplify]: Simplify (sqrt 1) into 1 6.426 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.426 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.427 * [backup-simplify]: Simplify (+ 0 0) into 0 6.427 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.427 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.427 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.427 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.427 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.427 * [taylor]: Taking taylor expansion of im in re 6.427 * [backup-simplify]: Simplify im into im 6.427 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.427 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.427 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.427 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.427 * [taylor]: Taking taylor expansion of re in re 6.427 * [backup-simplify]: Simplify 0 into 0 6.427 * [backup-simplify]: Simplify 1 into 1 6.428 * [backup-simplify]: Simplify (* 1 1) into 1 6.428 * [backup-simplify]: Simplify (/ 1 1) into 1 6.428 * [backup-simplify]: Simplify (+ 0 1) into 1 6.428 * [backup-simplify]: Simplify (sqrt 1) into 1 6.429 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.429 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.429 * [backup-simplify]: Simplify (+ 0 0) into 0 6.430 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.430 * [taylor]: Taking taylor expansion of 1 in im 6.430 * [backup-simplify]: Simplify 1 into 1 6.430 * [taylor]: Taking taylor expansion of 0 in im 6.430 * [backup-simplify]: Simplify 0 into 0 6.430 * [backup-simplify]: Simplify 1 into 1 6.430 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.431 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.431 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.432 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.432 * [taylor]: Taking taylor expansion of (/ 1/2 (pow im 2)) in im 6.432 * [taylor]: Taking taylor expansion of 1/2 in im 6.432 * [backup-simplify]: Simplify 1/2 into 1/2 6.432 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.432 * [taylor]: Taking taylor expansion of im in im 6.432 * [backup-simplify]: Simplify 0 into 0 6.432 * [backup-simplify]: Simplify 1 into 1 6.432 * [backup-simplify]: Simplify (* 1 1) into 1 6.432 * [backup-simplify]: Simplify (/ 1/2 1) into 1/2 6.433 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.433 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)))) into 0 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify 0 into 0 6.433 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.434 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.434 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.435 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.435 * [backup-simplify]: Simplify (+ 0 0) into 0 6.435 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.435 * [taylor]: Taking taylor expansion of 0 in im 6.435 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.436 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* 1/2 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 0 into 0 6.436 * [backup-simplify]: Simplify 0 into 0 6.437 * [backup-simplify]: Simplify (* 1 (* 1 (/ 1 (/ 1 (- re))))) into (* -1 re) 6.437 * * * * [progress]: [ 2 / 4 ] generating series at (2 2) 6.437 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))))) into (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) 6.437 * [approximate]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in (im re) around 0 6.437 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in re 6.437 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 6.437 * [taylor]: Taking taylor expansion of (fabs im) in re 6.437 * [backup-simplify]: Simplify (fabs im) into (fabs im) 6.437 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.437 * [taylor]: Taking taylor expansion of 2.0 in re 6.437 * [backup-simplify]: Simplify 2.0 into 2.0 6.437 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.438 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.438 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in re 6.438 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 6.438 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 6.438 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.438 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.438 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.438 * [taylor]: Taking taylor expansion of re in re 6.438 * [backup-simplify]: Simplify 0 into 0 6.438 * [backup-simplify]: Simplify 1 into 1 6.438 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.438 * [taylor]: Taking taylor expansion of im in re 6.438 * [backup-simplify]: Simplify im into im 6.438 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.438 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.438 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.438 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.439 * [backup-simplify]: Simplify (+ 0 0) into 0 6.439 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.439 * [taylor]: Taking taylor expansion of re in re 6.439 * [backup-simplify]: Simplify 0 into 0 6.439 * [backup-simplify]: Simplify 1 into 1 6.439 * [backup-simplify]: Simplify (- 0) into 0 6.439 * [backup-simplify]: Simplify (+ im 0) into im 6.439 * [backup-simplify]: Simplify (/ 1 im) into (/ 1 im) 6.439 * [backup-simplify]: Simplify (sqrt (/ 1 im)) into (sqrt (/ 1 im)) 6.439 * [backup-simplify]: Simplify (- 1) into -1 6.440 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.440 * [backup-simplify]: Simplify (- (+ (* (/ 1 im) (/ -1 im)))) into (/ 1 (pow im 2)) 6.440 * [backup-simplify]: Simplify (/ (/ 1 (pow im 2)) (* 2 (sqrt (/ 1 im)))) into (* 1/2 (sqrt (/ 1 (pow im 3)))) 6.440 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 6.440 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 6.440 * [taylor]: Taking taylor expansion of (fabs im) in im 6.440 * [backup-simplify]: Simplify (fabs im) into (fabs im) 6.440 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.440 * [taylor]: Taking taylor expansion of 2.0 in im 6.440 * [backup-simplify]: Simplify 2.0 into 2.0 6.440 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.441 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.441 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 6.441 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 6.441 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 6.441 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.441 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.441 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.441 * [taylor]: Taking taylor expansion of re in im 6.441 * [backup-simplify]: Simplify re into re 6.441 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.441 * [taylor]: Taking taylor expansion of im in im 6.441 * [backup-simplify]: Simplify 0 into 0 6.441 * [backup-simplify]: Simplify 1 into 1 6.441 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.441 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.441 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.441 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.441 * [backup-simplify]: Simplify (+ 0 0) into 0 6.442 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.442 * [taylor]: Taking taylor expansion of re in im 6.442 * [backup-simplify]: Simplify re into re 6.442 * [backup-simplify]: Simplify (- re) into (- re) 6.442 * [backup-simplify]: Simplify (+ re (- re)) into 0 6.442 * [backup-simplify]: Simplify (- 0) into 0 6.442 * [backup-simplify]: Simplify (+ 0 0) into 0 6.442 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.443 * [backup-simplify]: Simplify (* 1 1) into 1 6.443 * [backup-simplify]: Simplify (+ 0 1) into 1 6.443 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 6.444 * [backup-simplify]: Simplify (- 0) into 0 6.444 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 6.444 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 6.444 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 6.444 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 6.445 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.445 * [backup-simplify]: Simplify (+ 0 0) into 0 6.445 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 6.445 * [backup-simplify]: Simplify (- 0) into 0 6.445 * [backup-simplify]: Simplify (+ 0 0) into 0 6.445 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 6.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 6.446 * [taylor]: Taking taylor expansion of (* (* (fabs im) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)))) in im 6.446 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in im 6.446 * [taylor]: Taking taylor expansion of (fabs im) in im 6.446 * [backup-simplify]: Simplify (fabs im) into (fabs im) 6.446 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.446 * [taylor]: Taking taylor expansion of 2.0 in im 6.446 * [backup-simplify]: Simplify 2.0 into 2.0 6.446 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.446 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.446 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re))) in im 6.446 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 6.446 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 6.446 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.447 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.447 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.447 * [taylor]: Taking taylor expansion of re in im 6.447 * [backup-simplify]: Simplify re into re 6.447 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.447 * [taylor]: Taking taylor expansion of im in im 6.447 * [backup-simplify]: Simplify 0 into 0 6.447 * [backup-simplify]: Simplify 1 into 1 6.447 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.447 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.447 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.447 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.447 * [backup-simplify]: Simplify (+ 0 0) into 0 6.447 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.447 * [taylor]: Taking taylor expansion of re in im 6.447 * [backup-simplify]: Simplify re into re 6.447 * [backup-simplify]: Simplify (- re) into (- re) 6.447 * [backup-simplify]: Simplify (+ re (- re)) into 0 6.448 * [backup-simplify]: Simplify (- 0) into 0 6.448 * [backup-simplify]: Simplify (+ 0 0) into 0 6.448 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.448 * [backup-simplify]: Simplify (* 1 1) into 1 6.449 * [backup-simplify]: Simplify (+ 0 1) into 1 6.449 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 6.449 * [backup-simplify]: Simplify (- 0) into 0 6.449 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 6.449 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 re))) into (* 2 re) 6.449 * [backup-simplify]: Simplify (sqrt (* 2 re)) into (* (sqrt re) (sqrt 2)) 6.450 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 6.450 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.451 * [backup-simplify]: Simplify (+ 0 0) into 0 6.451 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 6.451 * [backup-simplify]: Simplify (- 0) into 0 6.451 * [backup-simplify]: Simplify (+ 0 0) into 0 6.451 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ 0 (* 1/2 (/ 1 re)))))) into 0 6.451 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (* 2 re)))) into 0 6.452 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 6.452 * [backup-simplify]: Simplify (* (* (fabs im) (sqrt 2.0)) (* (sqrt re) (sqrt 2))) into (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) (sqrt re)) 6.452 * [taylor]: Taking taylor expansion of (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) (sqrt re)) in re 6.452 * [taylor]: Taking taylor expansion of (* (fabs im) (* (sqrt 2.0) (sqrt 2))) in re 6.452 * [taylor]: Taking taylor expansion of (fabs im) in re 6.452 * [backup-simplify]: Simplify (fabs im) into (fabs im) 6.452 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (sqrt 2)) in re 6.452 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.452 * [taylor]: Taking taylor expansion of 2.0 in re 6.452 * [backup-simplify]: Simplify 2.0 into 2.0 6.453 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.453 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.453 * [taylor]: Taking taylor expansion of (sqrt 2) in re 6.453 * [taylor]: Taking taylor expansion of 2 in re 6.453 * [backup-simplify]: Simplify 2 into 2 6.453 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.454 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.454 * [taylor]: Taking taylor expansion of (sqrt re) in re 6.454 * [taylor]: Taking taylor expansion of re in re 6.454 * [backup-simplify]: Simplify 0 into 0 6.454 * [backup-simplify]: Simplify 1 into 1 6.454 * [backup-simplify]: Simplify (sqrt 0) into 0 6.455 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.456 * [backup-simplify]: Simplify (* (sqrt 2.0) (sqrt 2)) into (* (sqrt 2.0) (sqrt 2)) 6.456 * [backup-simplify]: Simplify (* (fabs im) (* (sqrt 2.0) (sqrt 2))) into (* (fabs im) (* (sqrt 2.0) (sqrt 2))) 6.461 * [backup-simplify]: Simplify (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) 0) into 0 6.461 * [backup-simplify]: Simplify 0 into 0 6.461 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 6.462 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) 0) (* 0 (* (sqrt re) (sqrt 2)))) into 0 6.462 * [taylor]: Taking taylor expansion of 0 in re 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify 0 into 0 6.462 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (sqrt 2))) into 0 6.463 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (* (sqrt 2.0) (sqrt 2)))) into 0 6.464 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) 6.465 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) 6.465 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 6.466 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.466 * [backup-simplify]: Simplify (+ 0 0) into 0 6.467 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 6.467 * [backup-simplify]: Simplify (- 0) into 0 6.467 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 6.467 * [backup-simplify]: Simplify (- (+ (* (* 2 re) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ 1 re)) 6.468 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 re)) (pow 0 2) (+)) (* 2 (* (sqrt re) (sqrt 2)))) into (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2)))) 6.469 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.469 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 6.471 * [backup-simplify]: Simplify (+ (* (* (fabs im) (sqrt 2.0)) (* 1/4 (* (sqrt (/ 1 (pow re 3))) (/ 1 (sqrt 2))))) (+ (* 0 0) (* 0 (* (sqrt re) (sqrt 2))))) into (* 1/4 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) 6.471 * [taylor]: Taking taylor expansion of (* 1/4 (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3))))) in re 6.471 * [taylor]: Taking taylor expansion of 1/4 in re 6.471 * [backup-simplify]: Simplify 1/4 into 1/4 6.471 * [taylor]: Taking taylor expansion of (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (sqrt (/ 1 (pow re 3)))) in re 6.471 * [taylor]: Taking taylor expansion of (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) in re 6.471 * [taylor]: Taking taylor expansion of (* (fabs im) (sqrt 2.0)) in re 6.471 * [taylor]: Taking taylor expansion of (fabs im) in re 6.471 * [backup-simplify]: Simplify (fabs im) into (fabs im) 6.471 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.471 * [taylor]: Taking taylor expansion of 2.0 in re 6.471 * [backup-simplify]: Simplify 2.0 into 2.0 6.471 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.472 * [taylor]: Taking taylor expansion of (sqrt 2) in re 6.472 * [taylor]: Taking taylor expansion of 2 in re 6.472 * [backup-simplify]: Simplify 2 into 2 6.472 * [backup-simplify]: Simplify (sqrt 2) into (sqrt 2) 6.472 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2))) into 0 6.473 * [backup-simplify]: Simplify (* (fabs im) (sqrt 2.0)) into (* (fabs im) (sqrt 2.0)) 6.473 * [backup-simplify]: Simplify (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) into (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) 6.473 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (pow re 3))) in re 6.473 * [taylor]: Taking taylor expansion of (/ 1 (pow re 3)) in re 6.473 * [taylor]: Taking taylor expansion of (pow re 3) in re 6.473 * [taylor]: Taking taylor expansion of re in re 6.473 * [backup-simplify]: Simplify 0 into 0 6.473 * [backup-simplify]: Simplify 1 into 1 6.474 * [backup-simplify]: Simplify (* 1 1) into 1 6.474 * [backup-simplify]: Simplify (* 1 1) into 1 6.474 * [backup-simplify]: Simplify (/ 1 1) into 1 6.474 * [backup-simplify]: Simplify (sqrt 0) into 0 6.475 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.476 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.477 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.478 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.479 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (sqrt 2.0))) into 0 6.480 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (/ 0 (sqrt 2))))) into 0 6.481 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.481 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 6.482 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.483 * [backup-simplify]: Simplify (- (/ 0 (sqrt 2)) (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) (/ 0 (sqrt 2))) (* 0 (/ 0 (sqrt 2))))) into 0 6.484 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) 6.485 * [backup-simplify]: Simplify (+ (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) +nan.0) (* 0 0)) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) 6.485 * [backup-simplify]: Simplify (* (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)) 0) into 0 6.487 * [backup-simplify]: Simplify (+ (* 1/4 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))) (+ (* 0 (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2))))) (* 0 0))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) 6.487 * [backup-simplify]: Simplify (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) into (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) 6.487 * [backup-simplify]: Simplify 0 into 0 6.489 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 6.489 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 6.490 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.491 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (sqrt 2)))) into 0 6.492 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (sqrt 2))))) into 0 6.494 * [backup-simplify]: Simplify (+ (* (* (fabs im) (* (sqrt 2.0) (sqrt 2))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) 6.495 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) into (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) 6.501 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) (* (pow re 2) (/ 1 im))) (+ (* (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (sqrt 2)))) (* 1 im)) (* (- (* +nan.0 (* (fabs im) (* (sqrt 2.0) (sqrt 2))))) (* re (/ 1 im))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im))))))) 6.501 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (fabs (/ 1 im)) (/ (fabs (/ 1 im)) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))))) into (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) 6.501 * [approximate]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in (im re) around 0 6.502 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in re 6.502 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 6.502 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.502 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.502 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.502 * [taylor]: Taking taylor expansion of 2.0 in re 6.502 * [backup-simplify]: Simplify 2.0 into 2.0 6.502 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.503 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.503 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in re 6.503 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 6.503 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 6.503 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.503 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.503 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.503 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.503 * [taylor]: Taking taylor expansion of im in re 6.503 * [backup-simplify]: Simplify im into im 6.503 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.504 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.504 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.504 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.504 * [taylor]: Taking taylor expansion of re in re 6.504 * [backup-simplify]: Simplify 0 into 0 6.504 * [backup-simplify]: Simplify 1 into 1 6.504 * [backup-simplify]: Simplify (* 1 1) into 1 6.505 * [backup-simplify]: Simplify (/ 1 1) into 1 6.505 * [backup-simplify]: Simplify (+ 0 1) into 1 6.505 * [backup-simplify]: Simplify (sqrt 1) into 1 6.506 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.507 * [backup-simplify]: Simplify (+ 0 0) into 0 6.508 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.508 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.508 * [taylor]: Taking taylor expansion of re in re 6.508 * [backup-simplify]: Simplify 0 into 0 6.508 * [backup-simplify]: Simplify 1 into 1 6.508 * [backup-simplify]: Simplify (/ 1 1) into 1 6.509 * [backup-simplify]: Simplify (- 1) into -1 6.509 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.510 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.510 * [backup-simplify]: Simplify (- 0) into 0 6.511 * [backup-simplify]: Simplify (+ 0 0) into 0 6.512 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.513 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.513 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.514 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.515 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.516 * [backup-simplify]: Simplify (- 0) into 0 6.516 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.516 * [backup-simplify]: Simplify (/ 1 (* 1/2 (/ 1 (pow im 2)))) into (* 2 (pow im 2)) 6.516 * [backup-simplify]: Simplify (sqrt 0) into 0 6.517 * [backup-simplify]: Simplify (/ (* 2 (pow im 2)) (* 2 (sqrt 0))) into (* +nan.0 (pow im 2)) 6.517 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 6.517 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 6.517 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 6.517 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.517 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.517 * [taylor]: Taking taylor expansion of 2.0 in im 6.517 * [backup-simplify]: Simplify 2.0 into 2.0 6.518 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.519 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 6.519 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 6.519 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 6.519 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.519 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.519 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.519 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.519 * [taylor]: Taking taylor expansion of im in im 6.519 * [backup-simplify]: Simplify 0 into 0 6.519 * [backup-simplify]: Simplify 1 into 1 6.519 * [backup-simplify]: Simplify (* 1 1) into 1 6.520 * [backup-simplify]: Simplify (/ 1 1) into 1 6.520 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.520 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.520 * [taylor]: Taking taylor expansion of re in im 6.520 * [backup-simplify]: Simplify re into re 6.520 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.520 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.521 * [backup-simplify]: Simplify (+ 1 0) into 1 6.521 * [backup-simplify]: Simplify (sqrt 1) into 1 6.522 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.523 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.523 * [backup-simplify]: Simplify (+ 0 0) into 0 6.524 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.524 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.524 * [taylor]: Taking taylor expansion of re in im 6.524 * [backup-simplify]: Simplify re into re 6.524 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.525 * [backup-simplify]: Simplify (+ 1 0) into 1 6.525 * [backup-simplify]: Simplify (/ 1 1) into 1 6.525 * [backup-simplify]: Simplify (sqrt 0) into 0 6.527 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.527 * [taylor]: Taking taylor expansion of (* (* (fabs (/ 1 im)) (sqrt 2.0)) (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))))) in im 6.527 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in im 6.527 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 6.527 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.527 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.527 * [taylor]: Taking taylor expansion of 2.0 in im 6.527 * [backup-simplify]: Simplify 2.0 into 2.0 6.527 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.528 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.528 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)))) in im 6.528 * [taylor]: Taking taylor expansion of (/ 1 (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 6.528 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 6.528 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.528 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.528 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.528 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.528 * [taylor]: Taking taylor expansion of im in im 6.528 * [backup-simplify]: Simplify 0 into 0 6.528 * [backup-simplify]: Simplify 1 into 1 6.529 * [backup-simplify]: Simplify (* 1 1) into 1 6.529 * [backup-simplify]: Simplify (/ 1 1) into 1 6.529 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.529 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.529 * [taylor]: Taking taylor expansion of re in im 6.529 * [backup-simplify]: Simplify re into re 6.529 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.530 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.530 * [backup-simplify]: Simplify (+ 1 0) into 1 6.531 * [backup-simplify]: Simplify (sqrt 1) into 1 6.531 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.532 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.532 * [backup-simplify]: Simplify (+ 0 0) into 0 6.533 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.533 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.533 * [taylor]: Taking taylor expansion of re in im 6.533 * [backup-simplify]: Simplify re into re 6.533 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.534 * [backup-simplify]: Simplify (+ 1 0) into 1 6.534 * [backup-simplify]: Simplify (/ 1 1) into 1 6.534 * [backup-simplify]: Simplify (sqrt 0) into 0 6.536 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.536 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.537 * [backup-simplify]: Simplify (* (* (fabs (/ 1 im)) (sqrt 2.0)) 0) into 0 6.537 * [taylor]: Taking taylor expansion of 0 in re 6.537 * [backup-simplify]: Simplify 0 into 0 6.538 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 6.538 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) +nan.0) (* 0 0)) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.539 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) in re 6.539 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 6.539 * [taylor]: Taking taylor expansion of +nan.0 in re 6.539 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.539 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 6.539 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.539 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.539 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.539 * [taylor]: Taking taylor expansion of 2.0 in re 6.539 * [backup-simplify]: Simplify 2.0 into 2.0 6.539 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.540 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.540 * [backup-simplify]: Simplify 0 into 0 6.540 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 6.540 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 6.541 * [backup-simplify]: Simplify (- (+ (* 1 (/ (- (/ 1 re)) 1)))) into (/ 1 re) 6.542 * [backup-simplify]: Simplify (/ (- (/ 1 re) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (- (/ 1 re) +nan.0)) 6.543 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.544 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (sqrt 2.0)))) into 0 6.545 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) 6.545 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 6.545 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 6.545 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 6.545 * [taylor]: Taking taylor expansion of +nan.0 in re 6.545 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.545 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 6.545 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.546 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.546 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.546 * [taylor]: Taking taylor expansion of 2.0 in re 6.546 * [backup-simplify]: Simplify 2.0 into 2.0 6.546 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.547 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.547 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 6.547 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 6.547 * [taylor]: Taking taylor expansion of +nan.0 in re 6.547 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.547 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 6.547 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 6.547 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.547 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.547 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.547 * [taylor]: Taking taylor expansion of 2.0 in re 6.547 * [backup-simplify]: Simplify 2.0 into 2.0 6.548 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.548 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.548 * [taylor]: Taking taylor expansion of re in re 6.548 * [backup-simplify]: Simplify 0 into 0 6.548 * [backup-simplify]: Simplify 1 into 1 6.549 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.549 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.550 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 6.550 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.551 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.552 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.552 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.553 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.553 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 6.554 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.554 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.554 * [backup-simplify]: Simplify 0 into 0 6.555 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.556 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.556 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 6.558 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 6.558 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.558 * [backup-simplify]: Simplify (- 0) into 0 6.558 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 6.559 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ 1 re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ 1 (pow re 2))) 6.560 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (- (/ 1 re) +nan.0)))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 6.561 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.562 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (sqrt 2.0))))) into 0 6.565 * [backup-simplify]: Simplify (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (- (/ 1 re) +nan.0))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) 6.565 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))))) in re 6.565 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))))) in re 6.565 * [taylor]: Taking taylor expansion of (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) in re 6.565 * [taylor]: Taking taylor expansion of +nan.0 in re 6.565 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.565 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 6.565 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.565 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.565 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.565 * [taylor]: Taking taylor expansion of 2.0 in re 6.565 * [backup-simplify]: Simplify 2.0 into 2.0 6.566 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.566 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.566 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))))) in re 6.566 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)))) in re 6.566 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2))) in re 6.566 * [taylor]: Taking taylor expansion of +nan.0 in re 6.566 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.566 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) (pow re 2)) in re 6.567 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 6.567 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.567 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.567 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.567 * [taylor]: Taking taylor expansion of 2.0 in re 6.567 * [backup-simplify]: Simplify 2.0 into 2.0 6.567 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.568 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.568 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.568 * [taylor]: Taking taylor expansion of re in re 6.568 * [backup-simplify]: Simplify 0 into 0 6.568 * [backup-simplify]: Simplify 1 into 1 6.568 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.569 * [backup-simplify]: Simplify (* 1 1) into 1 6.569 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.569 * [taylor]: Taking taylor expansion of (- (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re))) in re 6.569 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re)) in re 6.569 * [taylor]: Taking taylor expansion of +nan.0 in re 6.570 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.570 * [taylor]: Taking taylor expansion of (/ (* (fabs (/ 1 im)) (sqrt 2.0)) re) in re 6.570 * [taylor]: Taking taylor expansion of (* (fabs (/ 1 im)) (sqrt 2.0)) in re 6.570 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.570 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.570 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.570 * [taylor]: Taking taylor expansion of 2.0 in re 6.570 * [backup-simplify]: Simplify 2.0 into 2.0 6.571 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.571 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.571 * [taylor]: Taking taylor expansion of re in re 6.571 * [backup-simplify]: Simplify 0 into 0 6.571 * [backup-simplify]: Simplify 1 into 1 6.572 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (sqrt 2.0)) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.572 * [backup-simplify]: Simplify (/ (* (fabs (/ 1 im)) (sqrt 2.0)) 1) into (* (fabs (/ 1 im)) (sqrt 2.0)) 6.573 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (sqrt 2.0))) into 0 6.574 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.575 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (fabs (/ 1 im)) (sqrt 2.0)) (/ 0 1)))) into 0 6.576 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into 0 6.576 * [backup-simplify]: Simplify (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) into (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))) 6.577 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.578 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.578 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.579 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.579 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0))))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.580 * [backup-simplify]: Simplify (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) into (- (* +nan.0 (* (fabs (/ 1 im)) (sqrt 2.0)))) 6.583 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 3))) (+ (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* 1 (/ 1 im))) (* (- (* +nan.0 (* (fabs (/ 1 (/ 1 im))) (sqrt 2.0)))) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2))))) into (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))))) 6.584 * [backup-simplify]: Simplify (sqrt (* 2.0 (* (fabs (/ 1 (- im))) (/ (fabs (/ 1 (- im))) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))))) into (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) 6.584 * [approximate]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in (im re) around 0 6.584 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in re 6.584 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 6.584 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.584 * [taylor]: Taking taylor expansion of 2.0 in re 6.584 * [backup-simplify]: Simplify 2.0 into 2.0 6.585 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.585 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.585 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.586 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.586 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in re 6.586 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.586 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.586 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.586 * [taylor]: Taking taylor expansion of re in re 6.586 * [backup-simplify]: Simplify 0 into 0 6.586 * [backup-simplify]: Simplify 1 into 1 6.586 * [backup-simplify]: Simplify (/ 1 1) into 1 6.586 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.586 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.586 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.586 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.586 * [taylor]: Taking taylor expansion of im in re 6.586 * [backup-simplify]: Simplify im into im 6.587 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.587 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.587 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.587 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.587 * [taylor]: Taking taylor expansion of re in re 6.587 * [backup-simplify]: Simplify 0 into 0 6.587 * [backup-simplify]: Simplify 1 into 1 6.587 * [backup-simplify]: Simplify (* 1 1) into 1 6.588 * [backup-simplify]: Simplify (/ 1 1) into 1 6.588 * [backup-simplify]: Simplify (+ 0 1) into 1 6.588 * [backup-simplify]: Simplify (sqrt 1) into 1 6.589 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.593 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.594 * [backup-simplify]: Simplify (+ 0 0) into 0 6.595 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.595 * [backup-simplify]: Simplify (+ 1 1) into 2 6.596 * [backup-simplify]: Simplify (/ 1 2) into 1/2 6.596 * [backup-simplify]: Simplify (sqrt 0) into 0 6.598 * [backup-simplify]: Simplify (/ 1/2 (* 2 (sqrt 0))) into +nan.0 6.598 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 6.598 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 6.598 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.598 * [taylor]: Taking taylor expansion of 2.0 in im 6.598 * [backup-simplify]: Simplify 2.0 into 2.0 6.598 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.599 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.599 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 6.599 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.599 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 6.599 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 6.599 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.599 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.599 * [taylor]: Taking taylor expansion of re in im 6.599 * [backup-simplify]: Simplify re into re 6.599 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.599 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.599 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.599 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.600 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.600 * [taylor]: Taking taylor expansion of im in im 6.600 * [backup-simplify]: Simplify 0 into 0 6.600 * [backup-simplify]: Simplify 1 into 1 6.600 * [backup-simplify]: Simplify (* 1 1) into 1 6.600 * [backup-simplify]: Simplify (/ 1 1) into 1 6.600 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.600 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.600 * [taylor]: Taking taylor expansion of re in im 6.601 * [backup-simplify]: Simplify re into re 6.601 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.601 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.601 * [backup-simplify]: Simplify (+ 1 0) into 1 6.602 * [backup-simplify]: Simplify (sqrt 1) into 1 6.602 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.603 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.603 * [backup-simplify]: Simplify (+ 0 0) into 0 6.604 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.605 * [backup-simplify]: Simplify (+ 0 1) into 1 6.605 * [backup-simplify]: Simplify (/ 1 1) into 1 6.605 * [backup-simplify]: Simplify (sqrt 0) into 0 6.607 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.607 * [taylor]: Taking taylor expansion of (* (* (sqrt 2.0) (fabs (/ -1 im))) (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))))) in im 6.607 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in im 6.607 * [taylor]: Taking taylor expansion of (sqrt 2.0) in im 6.607 * [taylor]: Taking taylor expansion of 2.0 in im 6.607 * [backup-simplify]: Simplify 2.0 into 2.0 6.607 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.607 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.608 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 6.608 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.608 * [taylor]: Taking taylor expansion of (sqrt (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))))) in im 6.608 * [taylor]: Taking taylor expansion of (/ 1 (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 6.608 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.608 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.608 * [taylor]: Taking taylor expansion of re in im 6.608 * [backup-simplify]: Simplify re into re 6.608 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.608 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.608 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.608 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.608 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.608 * [taylor]: Taking taylor expansion of im in im 6.608 * [backup-simplify]: Simplify 0 into 0 6.608 * [backup-simplify]: Simplify 1 into 1 6.608 * [backup-simplify]: Simplify (* 1 1) into 1 6.608 * [backup-simplify]: Simplify (/ 1 1) into 1 6.608 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.608 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.608 * [taylor]: Taking taylor expansion of re in im 6.608 * [backup-simplify]: Simplify re into re 6.608 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.609 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.609 * [backup-simplify]: Simplify (+ 1 0) into 1 6.609 * [backup-simplify]: Simplify (sqrt 1) into 1 6.609 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.610 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.610 * [backup-simplify]: Simplify (+ 0 0) into 0 6.610 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.611 * [backup-simplify]: Simplify (+ 0 1) into 1 6.611 * [backup-simplify]: Simplify (/ 1 1) into 1 6.611 * [backup-simplify]: Simplify (sqrt 0) into 0 6.612 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 6.612 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.613 * [backup-simplify]: Simplify (* (* (sqrt 2.0) (fabs (/ -1 im))) 0) into 0 6.613 * [taylor]: Taking taylor expansion of 0 in re 6.613 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify 0 into 0 6.613 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 6.614 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) +nan.0) (* 0 0)) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.614 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 6.614 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 6.614 * [taylor]: Taking taylor expansion of +nan.0 in re 6.614 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.614 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 6.614 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.614 * [taylor]: Taking taylor expansion of 2.0 in re 6.614 * [backup-simplify]: Simplify 2.0 into 2.0 6.614 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.614 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.614 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.614 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.615 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.615 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 6.615 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.616 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.616 * [backup-simplify]: Simplify 0 into 0 6.616 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 6.616 * [backup-simplify]: Simplify (- (+ (* 1 (/ (/ 1 re) 1)))) into (- (/ 1 re)) 6.617 * [backup-simplify]: Simplify (/ (- (- (/ 1 re)) (pow +nan.0 2) (+)) (* 2 0)) into (* +nan.0 (+ (/ 1 re) (- +nan.0))) 6.617 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.618 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 6.619 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) 6.619 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 6.619 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 6.619 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 6.619 * [taylor]: Taking taylor expansion of +nan.0 in re 6.619 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.619 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 6.619 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 6.619 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.619 * [taylor]: Taking taylor expansion of 2.0 in re 6.619 * [backup-simplify]: Simplify 2.0 into 2.0 6.619 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.620 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.620 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.620 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.620 * [taylor]: Taking taylor expansion of re in re 6.620 * [backup-simplify]: Simplify 0 into 0 6.620 * [backup-simplify]: Simplify 1 into 1 6.620 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.620 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.620 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 6.620 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 6.620 * [taylor]: Taking taylor expansion of +nan.0 in re 6.620 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.621 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 6.621 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.621 * [taylor]: Taking taylor expansion of 2.0 in re 6.621 * [backup-simplify]: Simplify 2.0 into 2.0 6.621 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.621 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.621 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.621 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.622 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 6.622 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0 6.623 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 6.623 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.624 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 6.624 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.624 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.625 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.625 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.625 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 6.626 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 6.626 * [backup-simplify]: Simplify (- 0) into 0 6.626 * [backup-simplify]: Simplify 0 into 0 6.626 * [backup-simplify]: Simplify 0 into 0 6.626 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.627 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.627 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.627 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 6.628 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 6.628 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 6.628 * [backup-simplify]: Simplify (- (+ (* 1 (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ 1 re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ 1 (pow re 2))) 6.629 * [backup-simplify]: Simplify (/ (- (* 1/2 (/ 1 (pow re 2))) (+ (* 2 (* +nan.0 (* +nan.0 (+ (/ 1 re) (- +nan.0))))))) (* 2 0)) into (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0)))) 6.630 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2.0))) into 0 6.631 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0 6.632 * [backup-simplify]: Simplify (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (* +nan.0 (- (* 1/2 (/ 1 (pow re 2))) (+ (* +nan.0 (/ 1 re)) (- +nan.0))))) (+ (* 0 (* +nan.0 (+ (/ 1 re) (- +nan.0)))) (+ (* 0 +nan.0) (* 0 0)))) into (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) 6.633 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))))) in re 6.633 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))))) in re 6.633 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) re)) in re 6.633 * [taylor]: Taking taylor expansion of +nan.0 in re 6.633 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.633 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) re) in re 6.633 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 6.633 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.633 * [taylor]: Taking taylor expansion of 2.0 in re 6.633 * [backup-simplify]: Simplify 2.0 into 2.0 6.633 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.633 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.633 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.633 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.633 * [taylor]: Taking taylor expansion of re in re 6.634 * [backup-simplify]: Simplify 0 into 0 6.634 * [backup-simplify]: Simplify 1 into 1 6.634 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.634 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.634 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))))) in re 6.634 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) in re 6.634 * [taylor]: Taking taylor expansion of (* +nan.0 (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2))) in re 6.634 * [taylor]: Taking taylor expansion of +nan.0 in re 6.634 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.634 * [taylor]: Taking taylor expansion of (/ (* (sqrt 2.0) (fabs (/ -1 im))) (pow re 2)) in re 6.634 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 6.634 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.634 * [taylor]: Taking taylor expansion of 2.0 in re 6.634 * [backup-simplify]: Simplify 2.0 into 2.0 6.635 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.635 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.635 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.635 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.635 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.635 * [taylor]: Taking taylor expansion of re in re 6.635 * [backup-simplify]: Simplify 0 into 0 6.635 * [backup-simplify]: Simplify 1 into 1 6.635 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.636 * [backup-simplify]: Simplify (* 1 1) into 1 6.636 * [backup-simplify]: Simplify (/ (* (sqrt 2.0) (fabs (/ -1 im))) 1) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.636 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) in re 6.636 * [taylor]: Taking taylor expansion of (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) in re 6.636 * [taylor]: Taking taylor expansion of +nan.0 in re 6.636 * [backup-simplify]: Simplify +nan.0 into +nan.0 6.636 * [taylor]: Taking taylor expansion of (* (sqrt 2.0) (fabs (/ -1 im))) in re 6.636 * [taylor]: Taking taylor expansion of (sqrt 2.0) in re 6.636 * [taylor]: Taking taylor expansion of 2.0 in re 6.636 * [backup-simplify]: Simplify 2.0 into 2.0 6.636 * [backup-simplify]: Simplify (sqrt 2.0) into (sqrt 2.0) 6.637 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 2.0))) into 0 6.637 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.637 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.637 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 6.638 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0 6.639 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im))))) into 0 6.640 * [backup-simplify]: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2.0))) into 0 6.640 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 6.641 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.642 * [backup-simplify]: Simplify (+ (* (sqrt 2.0) 0) (* 0 (fabs (/ -1 im)))) into 0 6.642 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.643 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)))) into 0 6.645 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (* (sqrt 2.0) (fabs (/ -1 im))) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.646 * [backup-simplify]: Simplify (+ (* +nan.0 0) (+ (* 0 0) (* 0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into 0 6.647 * [backup-simplify]: Simplify (* (sqrt 2.0) (fabs (/ -1 im))) into (* (sqrt 2.0) (fabs (/ -1 im))) 6.647 * [backup-simplify]: Simplify (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) into (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))) 6.648 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.648 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.649 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.649 * [backup-simplify]: Simplify (+ 0 (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.650 * [backup-simplify]: Simplify (- (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im)))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.650 * [backup-simplify]: Simplify (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) into (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 im))))) 6.653 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- im))) 3)) (+ (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (pow (* 1 (/ 1 (- im))) 2)) (* (- (* +nan.0 (* (sqrt 2.0) (fabs (/ -1 (/ 1 (- im))))))) (* 1 (/ 1 (- im)))))) into (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))))) 6.653 * * * * [progress]: [ 3 / 4 ] generating series at (2 2 1 2 2 2) 6.653 * [backup-simplify]: Simplify (- (sqrt (+ (* re re) (* im im))) re) into (- (sqrt (+ (pow re 2) (pow im 2))) re) 6.653 * [approximate]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in (re im) around 0 6.653 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 6.653 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.653 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.653 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.653 * [taylor]: Taking taylor expansion of re in im 6.653 * [backup-simplify]: Simplify re into re 6.653 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.653 * [taylor]: Taking taylor expansion of im in im 6.653 * [backup-simplify]: Simplify 0 into 0 6.653 * [backup-simplify]: Simplify 1 into 1 6.653 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.654 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.654 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.654 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.654 * [backup-simplify]: Simplify (+ 0 0) into 0 6.654 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.654 * [taylor]: Taking taylor expansion of re in im 6.654 * [backup-simplify]: Simplify re into re 6.654 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 6.654 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.654 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.655 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.655 * [taylor]: Taking taylor expansion of re in re 6.655 * [backup-simplify]: Simplify 0 into 0 6.655 * [backup-simplify]: Simplify 1 into 1 6.655 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.655 * [taylor]: Taking taylor expansion of im in re 6.655 * [backup-simplify]: Simplify im into im 6.655 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.655 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.655 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.655 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.655 * [backup-simplify]: Simplify (+ 0 0) into 0 6.656 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.656 * [taylor]: Taking taylor expansion of re in re 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 6.656 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.656 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.656 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.656 * [taylor]: Taking taylor expansion of re in re 6.656 * [backup-simplify]: Simplify 0 into 0 6.656 * [backup-simplify]: Simplify 1 into 1 6.656 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.656 * [taylor]: Taking taylor expansion of im in re 6.656 * [backup-simplify]: Simplify im into im 6.656 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.656 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.656 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.656 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.657 * [backup-simplify]: Simplify (+ 0 0) into 0 6.657 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.657 * [taylor]: Taking taylor expansion of re in re 6.657 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.657 * [backup-simplify]: Simplify (- 0) into 0 6.657 * [backup-simplify]: Simplify (+ im 0) into im 6.657 * [taylor]: Taking taylor expansion of im in im 6.657 * [backup-simplify]: Simplify 0 into 0 6.657 * [backup-simplify]: Simplify 1 into 1 6.657 * [backup-simplify]: Simplify 0 into 0 6.658 * [backup-simplify]: Simplify (- 1) into -1 6.658 * [backup-simplify]: Simplify (+ 0 -1) into -1 6.658 * [taylor]: Taking taylor expansion of -1 in im 6.658 * [backup-simplify]: Simplify -1 into -1 6.658 * [backup-simplify]: Simplify -1 into -1 6.658 * [backup-simplify]: Simplify 1 into 1 6.659 * [backup-simplify]: Simplify (* 1 1) into 1 6.659 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (* 0 im))) into 0 6.660 * [backup-simplify]: Simplify (+ 1 0) into 1 6.660 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 im)) into (/ 1/2 im) 6.661 * [backup-simplify]: Simplify (- 0) into 0 6.661 * [backup-simplify]: Simplify (+ (/ 1/2 im) 0) into (* 1/2 (/ 1 im)) 6.661 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 im)) in im 6.661 * [taylor]: Taking taylor expansion of 1/2 in im 6.661 * [backup-simplify]: Simplify 1/2 into 1/2 6.661 * [taylor]: Taking taylor expansion of (/ 1 im) in im 6.661 * [taylor]: Taking taylor expansion of im in im 6.661 * [backup-simplify]: Simplify 0 into 0 6.661 * [backup-simplify]: Simplify 1 into 1 6.661 * [backup-simplify]: Simplify (/ 1 1) into 1 6.662 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.662 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.663 * [backup-simplify]: Simplify 0 into 0 6.663 * [backup-simplify]: Simplify 0 into 0 6.663 * [backup-simplify]: Simplify 0 into 0 6.663 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.664 * [backup-simplify]: Simplify (+ (* im 0) (+ (* 0 0) (+ (* 0 0) (* 0 im)))) into 0 6.664 * [backup-simplify]: Simplify (+ 0 0) into 0 6.664 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 im))))) (* 2 im)) into 0 6.665 * [backup-simplify]: Simplify (- 0) into 0 6.665 * [backup-simplify]: Simplify (+ 0 0) into 0 6.665 * [taylor]: Taking taylor expansion of 0 in im 6.665 * [backup-simplify]: Simplify 0 into 0 6.665 * [backup-simplify]: Simplify 0 into 0 6.666 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.667 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.667 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify 0 into 0 6.667 * [backup-simplify]: Simplify (+ (* 1 (* im 1)) (* -1 (* 1 re))) into (- im re) 6.667 * [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)) 6.667 * [approximate]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in (re im) around 0 6.667 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 6.668 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.668 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.668 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.668 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.668 * [taylor]: Taking taylor expansion of im in im 6.668 * [backup-simplify]: Simplify 0 into 0 6.668 * [backup-simplify]: Simplify 1 into 1 6.668 * [backup-simplify]: Simplify (* 1 1) into 1 6.668 * [backup-simplify]: Simplify (/ 1 1) into 1 6.668 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.668 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.668 * [taylor]: Taking taylor expansion of re in im 6.668 * [backup-simplify]: Simplify re into re 6.669 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.669 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.669 * [backup-simplify]: Simplify (+ 1 0) into 1 6.669 * [backup-simplify]: Simplify (sqrt 1) into 1 6.670 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.671 * [backup-simplify]: Simplify (+ 0 0) into 0 6.672 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.672 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.672 * [taylor]: Taking taylor expansion of re in im 6.672 * [backup-simplify]: Simplify re into re 6.672 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.672 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 6.672 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.672 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.672 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.672 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.672 * [taylor]: Taking taylor expansion of im in re 6.672 * [backup-simplify]: Simplify im into im 6.672 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.672 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.672 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.672 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.672 * [taylor]: Taking taylor expansion of re in re 6.672 * [backup-simplify]: Simplify 0 into 0 6.672 * [backup-simplify]: Simplify 1 into 1 6.673 * [backup-simplify]: Simplify (* 1 1) into 1 6.673 * [backup-simplify]: Simplify (/ 1 1) into 1 6.673 * [backup-simplify]: Simplify (+ 0 1) into 1 6.674 * [backup-simplify]: Simplify (sqrt 1) into 1 6.674 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.675 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.675 * [backup-simplify]: Simplify (+ 0 0) into 0 6.676 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.676 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.676 * [taylor]: Taking taylor expansion of re in re 6.676 * [backup-simplify]: Simplify 0 into 0 6.676 * [backup-simplify]: Simplify 1 into 1 6.676 * [backup-simplify]: Simplify (/ 1 1) into 1 6.676 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 6.676 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.676 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.676 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.676 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.676 * [taylor]: Taking taylor expansion of im in re 6.677 * [backup-simplify]: Simplify im into im 6.677 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.677 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.677 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.677 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.677 * [taylor]: Taking taylor expansion of re in re 6.677 * [backup-simplify]: Simplify 0 into 0 6.677 * [backup-simplify]: Simplify 1 into 1 6.677 * [backup-simplify]: Simplify (* 1 1) into 1 6.678 * [backup-simplify]: Simplify (/ 1 1) into 1 6.678 * [backup-simplify]: Simplify (+ 0 1) into 1 6.678 * [backup-simplify]: Simplify (sqrt 1) into 1 6.679 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.680 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.680 * [backup-simplify]: Simplify (+ 0 0) into 0 6.680 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.680 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.681 * [taylor]: Taking taylor expansion of re in re 6.681 * [backup-simplify]: Simplify 0 into 0 6.681 * [backup-simplify]: Simplify 1 into 1 6.681 * [backup-simplify]: Simplify (/ 1 1) into 1 6.682 * [backup-simplify]: Simplify (- 1) into -1 6.682 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.682 * [taylor]: Taking taylor expansion of 0 in im 6.682 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.683 * [backup-simplify]: Simplify (- 0) into 0 6.683 * [backup-simplify]: Simplify (+ 0 0) into 0 6.683 * [taylor]: Taking taylor expansion of 0 in im 6.683 * [backup-simplify]: Simplify 0 into 0 6.683 * [backup-simplify]: Simplify 0 into 0 6.684 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.685 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.685 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.687 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.687 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.688 * [backup-simplify]: Simplify (- 0) into 0 6.688 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.688 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.688 * [taylor]: Taking taylor expansion of 1/2 in im 6.688 * [backup-simplify]: Simplify 1/2 into 1/2 6.688 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.688 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.688 * [taylor]: Taking taylor expansion of im in im 6.688 * [backup-simplify]: Simplify 0 into 0 6.688 * [backup-simplify]: Simplify 1 into 1 6.688 * [backup-simplify]: Simplify (* 1 1) into 1 6.689 * [backup-simplify]: Simplify (/ 1 1) into 1 6.689 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.690 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.691 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.691 * [backup-simplify]: Simplify 0 into 0 6.691 * [backup-simplify]: Simplify 0 into 0 6.691 * [backup-simplify]: Simplify 0 into 0 6.691 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.691 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.692 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.693 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.693 * [backup-simplify]: Simplify (+ 0 0) into 0 6.694 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.695 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.695 * [backup-simplify]: Simplify (- 0) into 0 6.695 * [backup-simplify]: Simplify (+ 0 0) into 0 6.695 * [taylor]: Taking taylor expansion of 0 in im 6.695 * [backup-simplify]: Simplify 0 into 0 6.696 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.697 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.698 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.698 * [backup-simplify]: Simplify 0 into 0 6.698 * [backup-simplify]: Simplify 0 into 0 6.698 * [backup-simplify]: Simplify 0 into 0 6.699 * [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))))) 6.699 * [approximate]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in (re im) around 0 6.699 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.699 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.699 * [taylor]: Taking taylor expansion of re in im 6.699 * [backup-simplify]: Simplify re into re 6.699 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.699 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.699 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.699 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.699 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.699 * [taylor]: Taking taylor expansion of im in im 6.699 * [backup-simplify]: Simplify 0 into 0 6.699 * [backup-simplify]: Simplify 1 into 1 6.699 * [backup-simplify]: Simplify (* 1 1) into 1 6.700 * [backup-simplify]: Simplify (/ 1 1) into 1 6.700 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.700 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.700 * [taylor]: Taking taylor expansion of re in im 6.700 * [backup-simplify]: Simplify re into re 6.700 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.700 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.700 * [backup-simplify]: Simplify (+ 1 0) into 1 6.701 * [backup-simplify]: Simplify (sqrt 1) into 1 6.701 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.702 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.702 * [backup-simplify]: Simplify (+ 0 0) into 0 6.703 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.703 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.703 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.703 * [taylor]: Taking taylor expansion of re in re 6.703 * [backup-simplify]: Simplify 0 into 0 6.703 * [backup-simplify]: Simplify 1 into 1 6.704 * [backup-simplify]: Simplify (/ 1 1) into 1 6.704 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.704 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.704 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.704 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.704 * [taylor]: Taking taylor expansion of im in re 6.704 * [backup-simplify]: Simplify im into im 6.704 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.704 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.704 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.704 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.704 * [taylor]: Taking taylor expansion of re in re 6.704 * [backup-simplify]: Simplify 0 into 0 6.704 * [backup-simplify]: Simplify 1 into 1 6.704 * [backup-simplify]: Simplify (* 1 1) into 1 6.705 * [backup-simplify]: Simplify (/ 1 1) into 1 6.705 * [backup-simplify]: Simplify (+ 0 1) into 1 6.705 * [backup-simplify]: Simplify (sqrt 1) into 1 6.706 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.707 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.707 * [backup-simplify]: Simplify (+ 0 0) into 0 6.708 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.708 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.708 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.708 * [taylor]: Taking taylor expansion of re in re 6.708 * [backup-simplify]: Simplify 0 into 0 6.708 * [backup-simplify]: Simplify 1 into 1 6.708 * [backup-simplify]: Simplify (/ 1 1) into 1 6.708 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.708 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.708 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.708 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.708 * [taylor]: Taking taylor expansion of im in re 6.708 * [backup-simplify]: Simplify im into im 6.708 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.709 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.709 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.709 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.709 * [taylor]: Taking taylor expansion of re in re 6.709 * [backup-simplify]: Simplify 0 into 0 6.709 * [backup-simplify]: Simplify 1 into 1 6.709 * [backup-simplify]: Simplify (* 1 1) into 1 6.709 * [backup-simplify]: Simplify (/ 1 1) into 1 6.710 * [backup-simplify]: Simplify (+ 0 1) into 1 6.710 * [backup-simplify]: Simplify (sqrt 1) into 1 6.711 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.711 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.712 * [backup-simplify]: Simplify (+ 0 0) into 0 6.712 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.713 * [backup-simplify]: Simplify (+ 1 1) into 2 6.713 * [taylor]: Taking taylor expansion of 2 in im 6.713 * [backup-simplify]: Simplify 2 into 2 6.713 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.714 * [backup-simplify]: Simplify (+ 0 0) into 0 6.714 * [taylor]: Taking taylor expansion of 0 in im 6.714 * [backup-simplify]: Simplify 0 into 0 6.714 * [backup-simplify]: Simplify 2 into 2 6.718 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.719 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.720 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.720 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.722 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.722 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow im 2))) into (* 1/2 (/ 1 (pow im 2))) 6.722 * [taylor]: Taking taylor expansion of (* 1/2 (/ 1 (pow im 2))) in im 6.722 * [taylor]: Taking taylor expansion of 1/2 in im 6.722 * [backup-simplify]: Simplify 1/2 into 1/2 6.722 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.722 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.722 * [taylor]: Taking taylor expansion of im in im 6.722 * [backup-simplify]: Simplify 0 into 0 6.722 * [backup-simplify]: Simplify 1 into 1 6.723 * [backup-simplify]: Simplify (* 1 1) into 1 6.723 * [backup-simplify]: Simplify (/ 1 1) into 1 6.724 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.724 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.725 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 1)) into 0 6.725 * [backup-simplify]: Simplify 0 into 0 6.725 * [backup-simplify]: Simplify 0 into 0 6.725 * [backup-simplify]: Simplify 0 into 0 6.726 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.726 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.727 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow im 2)) (/ 0 (pow im 2))))) into 0 6.728 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.729 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.729 * [backup-simplify]: Simplify (+ 0 0) into 0 6.730 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow im 2)))))) (* 2 1)) into 0 6.730 * [backup-simplify]: Simplify (+ 0 0) into 0 6.730 * [taylor]: Taking taylor expansion of 0 in im 6.730 * [backup-simplify]: Simplify 0 into 0 6.732 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.732 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.733 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 1))) into 0 6.733 * [backup-simplify]: Simplify 0 into 0 6.733 * [backup-simplify]: Simplify 0 into 0 6.734 * [backup-simplify]: Simplify 0 into 0 6.734 * [backup-simplify]: Simplify (* 2 (* 1 (/ 1 (/ 1 (- re))))) into (* -2 re) 6.734 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 6.734 * [backup-simplify]: Simplify (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))) into (/ (pow (fabs im) 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) 6.734 * [approximate]: Taking taylor expansion of (/ (pow (fabs im) 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in (im re) around 0 6.734 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in re 6.734 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in re 6.734 * [taylor]: Taking taylor expansion of (fabs im) in re 6.735 * [backup-simplify]: Simplify (fabs im) into (fabs im) 6.735 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in re 6.735 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in re 6.735 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in re 6.735 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.735 * [taylor]: Taking taylor expansion of re in re 6.735 * [backup-simplify]: Simplify 0 into 0 6.735 * [backup-simplify]: Simplify 1 into 1 6.735 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.735 * [taylor]: Taking taylor expansion of im in re 6.735 * [backup-simplify]: Simplify im into im 6.735 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.735 * [backup-simplify]: Simplify (+ 0 (pow im 2)) into (pow im 2) 6.735 * [backup-simplify]: Simplify (sqrt (pow im 2)) into im 6.735 * [backup-simplify]: Simplify (+ (* im 0) (* 0 im)) into 0 6.736 * [backup-simplify]: Simplify (+ 0 0) into 0 6.736 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow im 2)))) into 0 6.736 * [taylor]: Taking taylor expansion of re in re 6.736 * [backup-simplify]: Simplify 0 into 0 6.736 * [backup-simplify]: Simplify 1 into 1 6.736 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2) 6.737 * [backup-simplify]: Simplify (- 0) into 0 6.737 * [backup-simplify]: Simplify (+ im 0) into im 6.737 * [backup-simplify]: Simplify (/ (pow (fabs im) 2) im) into (/ (pow (fabs im) 2) im) 6.737 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 6.737 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in im 6.737 * [taylor]: Taking taylor expansion of (fabs im) in im 6.737 * [backup-simplify]: Simplify (fabs im) into (fabs im) 6.737 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 6.737 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.737 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.737 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.737 * [taylor]: Taking taylor expansion of re in im 6.737 * [backup-simplify]: Simplify re into re 6.737 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.737 * [taylor]: Taking taylor expansion of im in im 6.737 * [backup-simplify]: Simplify 0 into 0 6.737 * [backup-simplify]: Simplify 1 into 1 6.737 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.738 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.738 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.738 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.738 * [backup-simplify]: Simplify (+ 0 0) into 0 6.738 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.738 * [taylor]: Taking taylor expansion of re in im 6.738 * [backup-simplify]: Simplify re into re 6.739 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2) 6.739 * [backup-simplify]: Simplify (- re) into (- re) 6.739 * [backup-simplify]: Simplify (+ re (- re)) into 0 6.739 * [backup-simplify]: Simplify (- 0) into 0 6.739 * [backup-simplify]: Simplify (+ 0 0) into 0 6.740 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.740 * [backup-simplify]: Simplify (* 1 1) into 1 6.740 * [backup-simplify]: Simplify (+ 0 1) into 1 6.741 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 6.741 * [backup-simplify]: Simplify (- 0) into 0 6.741 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 6.742 * [backup-simplify]: Simplify (/ (pow (fabs im) 2) (* 1/2 (/ 1 re))) into (* 2 (* (pow (fabs im) 2) re)) 6.742 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) (- (sqrt (+ (pow re 2) (pow im 2))) re)) in im 6.742 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in im 6.742 * [taylor]: Taking taylor expansion of (fabs im) in im 6.742 * [backup-simplify]: Simplify (fabs im) into (fabs im) 6.742 * [taylor]: Taking taylor expansion of (- (sqrt (+ (pow re 2) (pow im 2))) re) in im 6.742 * [taylor]: Taking taylor expansion of (sqrt (+ (pow re 2) (pow im 2))) in im 6.742 * [taylor]: Taking taylor expansion of (+ (pow re 2) (pow im 2)) in im 6.742 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.742 * [taylor]: Taking taylor expansion of re in im 6.742 * [backup-simplify]: Simplify re into re 6.742 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.742 * [taylor]: Taking taylor expansion of im in im 6.742 * [backup-simplify]: Simplify 0 into 0 6.742 * [backup-simplify]: Simplify 1 into 1 6.742 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.742 * [backup-simplify]: Simplify (+ (pow re 2) 0) into (pow re 2) 6.742 * [backup-simplify]: Simplify (sqrt (pow re 2)) into re 6.743 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.743 * [backup-simplify]: Simplify (+ 0 0) into 0 6.743 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (pow re 2)))) into 0 6.743 * [taylor]: Taking taylor expansion of re in im 6.743 * [backup-simplify]: Simplify re into re 6.743 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2) 6.743 * [backup-simplify]: Simplify (- re) into (- re) 6.743 * [backup-simplify]: Simplify (+ re (- re)) into 0 6.744 * [backup-simplify]: Simplify (- 0) into 0 6.744 * [backup-simplify]: Simplify (+ 0 0) into 0 6.744 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (* 0 re))) into 0 6.745 * [backup-simplify]: Simplify (* 1 1) into 1 6.745 * [backup-simplify]: Simplify (+ 0 1) into 1 6.746 * [backup-simplify]: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 re)) into (/ 1/2 re) 6.746 * [backup-simplify]: Simplify (- 0) into 0 6.746 * [backup-simplify]: Simplify (+ (/ 1/2 re) 0) into (* 1/2 (/ 1 re)) 6.746 * [backup-simplify]: Simplify (/ (pow (fabs im) 2) (* 1/2 (/ 1 re))) into (* 2 (* (pow (fabs im) 2) re)) 6.747 * [taylor]: Taking taylor expansion of (* 2 (* (pow (fabs im) 2) re)) in re 6.747 * [taylor]: Taking taylor expansion of 2 in re 6.747 * [backup-simplify]: Simplify 2 into 2 6.747 * [taylor]: Taking taylor expansion of (* (pow (fabs im) 2) re) in re 6.747 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in re 6.747 * [taylor]: Taking taylor expansion of (fabs im) in re 6.747 * [backup-simplify]: Simplify (fabs im) into (fabs im) 6.747 * [taylor]: Taking taylor expansion of re in re 6.747 * [backup-simplify]: Simplify 0 into 0 6.747 * [backup-simplify]: Simplify 1 into 1 6.747 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2) 6.747 * [backup-simplify]: Simplify (* (pow (fabs im) 2) 0) into 0 6.747 * [backup-simplify]: Simplify (* 2 0) into 0 6.748 * [backup-simplify]: Simplify 0 into 0 6.748 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (fabs im))) into 0 6.748 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))) into 0 6.749 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.749 * [backup-simplify]: Simplify (+ 0 0) into 0 6.749 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 re))))) (* 2 re)) into 0 6.750 * [backup-simplify]: Simplify (- 0) into 0 6.750 * [backup-simplify]: Simplify (+ 0 0) into 0 6.750 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 (* (pow (fabs im) 2) re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 6.751 * [taylor]: Taking taylor expansion of 0 in re 6.751 * [backup-simplify]: Simplify 0 into 0 6.751 * [backup-simplify]: Simplify 0 into 0 6.751 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (fabs im))) into 0 6.751 * [backup-simplify]: Simplify (+ (* (pow (fabs im) 2) 1) (* 0 0)) into (pow (fabs im) 2) 6.751 * [backup-simplify]: Simplify (+ (* 2 (pow (fabs im) 2)) (* 0 0)) into (* 2 (pow (fabs im) 2)) 6.752 * [backup-simplify]: Simplify (* 2 (pow (fabs im) 2)) into (* 2 (pow (fabs im) 2)) 6.752 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0 6.753 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re))))) into 0 6.753 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.753 * [backup-simplify]: Simplify (+ 0 0) into 0 6.754 * [backup-simplify]: Simplify (/ (- 0 (pow (/ 1/2 re) 2) (+ (* 2 (* 0 0)))) (* 2 re)) into (/ -1/8 (pow re 3)) 6.754 * [backup-simplify]: Simplify (- 0) into 0 6.754 * [backup-simplify]: Simplify (+ (/ -1/8 (pow re 3)) 0) into (- (* 1/8 (/ 1 (pow re 3)))) 6.755 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 (* (pow (fabs im) 2) re)) (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* 0 (/ 0 (* 1/2 (/ 1 re)))))) into (* 1/2 (/ (pow (fabs im) 2) re)) 6.755 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (fabs im) 2) re)) in re 6.755 * [taylor]: Taking taylor expansion of 1/2 in re 6.755 * [backup-simplify]: Simplify 1/2 into 1/2 6.755 * [taylor]: Taking taylor expansion of (/ (pow (fabs im) 2) re) in re 6.755 * [taylor]: Taking taylor expansion of (pow (fabs im) 2) in re 6.755 * [taylor]: Taking taylor expansion of (fabs im) in re 6.755 * [backup-simplify]: Simplify (fabs im) into (fabs im) 6.755 * [taylor]: Taking taylor expansion of re in re 6.755 * [backup-simplify]: Simplify 0 into 0 6.755 * [backup-simplify]: Simplify 1 into 1 6.755 * [backup-simplify]: Simplify (* (fabs im) (fabs im)) into (pow (fabs im) 2) 6.755 * [backup-simplify]: Simplify (/ (pow (fabs im) 2) 1) into (pow (fabs im) 2) 6.755 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (* 0 (fabs im))) into 0 6.756 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs im) 2) (/ 0 1)))) into 0 6.756 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (pow (fabs im) 2))) into 0 6.756 * [backup-simplify]: Simplify 0 into 0 6.756 * [backup-simplify]: Simplify 0 into 0 6.757 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0 6.757 * [backup-simplify]: Simplify (+ (* (pow (fabs im) 2) 0) (+ (* 0 1) (* 0 0))) into 0 6.758 * [backup-simplify]: Simplify (+ (* 2 0) (+ (* 0 (pow (fabs im) 2)) (* 0 0))) into 0 6.758 * [backup-simplify]: Simplify 0 into 0 6.759 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs im))))) into 0 6.760 * [backup-simplify]: Simplify (+ (* re 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 re)))))) into 0 6.760 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.760 * [backup-simplify]: Simplify (+ 0 0) into 0 6.761 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ -1/8 (pow re 3)))) (* 2 (* (/ 1/2 re) 0)))) (* 2 re)) into 0 6.761 * [backup-simplify]: Simplify (- 0) into 0 6.761 * [backup-simplify]: Simplify (+ 0 0) into 0 6.762 * [backup-simplify]: Simplify (- (/ 0 (* 1/2 (/ 1 re))) (+ (* (* 2 (* (pow (fabs im) 2) re)) (/ 0 (* 1/2 (/ 1 re)))) (* 0 (/ (- (* 1/8 (/ 1 (pow re 3)))) (* 1/2 (/ 1 re)))) (* (* 1/2 (/ (pow (fabs im) 2) re)) (/ 0 (* 1/2 (/ 1 re)))))) into 0 6.762 * [taylor]: Taking taylor expansion of 0 in re 6.762 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify 0 into 0 6.762 * [backup-simplify]: Simplify (+ (* (fabs im) 0) (+ (* 0 0) (* 0 (fabs im)))) into 0 6.763 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs im) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.763 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow (fabs im) 2)))) into 0 6.763 * [backup-simplify]: Simplify 0 into 0 6.763 * [backup-simplify]: Simplify 0 into 0 6.764 * [backup-simplify]: Simplify (* (* 2 (pow (fabs im) 2)) (* re (pow im -2))) into (* 2 (/ (* (pow (fabs im) 2) re) (pow im 2))) 6.764 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (/ (fabs (/ 1 im)) (- (sqrt (+ (* (/ 1 re) (/ 1 re)) (* (/ 1 im) (/ 1 im)))) (/ 1 re)))) into (/ (pow (fabs (/ 1 im)) 2) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) 6.764 * [approximate]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in (im re) around 0 6.764 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in re 6.764 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re 6.764 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.764 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.764 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in re 6.764 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.764 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.764 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.764 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.764 * [taylor]: Taking taylor expansion of im in re 6.764 * [backup-simplify]: Simplify im into im 6.764 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.764 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.764 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.764 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.764 * [taylor]: Taking taylor expansion of re in re 6.764 * [backup-simplify]: Simplify 0 into 0 6.765 * [backup-simplify]: Simplify 1 into 1 6.765 * [backup-simplify]: Simplify (* 1 1) into 1 6.765 * [backup-simplify]: Simplify (/ 1 1) into 1 6.765 * [backup-simplify]: Simplify (+ 0 1) into 1 6.765 * [backup-simplify]: Simplify (sqrt 1) into 1 6.766 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.766 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.766 * [backup-simplify]: Simplify (+ 0 0) into 0 6.767 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.767 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.767 * [taylor]: Taking taylor expansion of re in re 6.767 * [backup-simplify]: Simplify 0 into 0 6.767 * [backup-simplify]: Simplify 1 into 1 6.767 * [backup-simplify]: Simplify (/ 1 1) into 1 6.767 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2) 6.767 * [backup-simplify]: Simplify (- 1) into -1 6.768 * [backup-simplify]: Simplify (+ 1 -1) into 0 6.768 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.768 * [backup-simplify]: Simplify (- 0) into 0 6.769 * [backup-simplify]: Simplify (+ 0 0) into 0 6.769 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.770 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.770 * [backup-simplify]: Simplify (+ (/ 1 (pow im 2)) 0) into (/ 1 (pow im 2)) 6.771 * [backup-simplify]: Simplify (/ (- (/ 1 (pow im 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow im 2)) 6.771 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.771 * [backup-simplify]: Simplify (- 0) into 0 6.771 * [backup-simplify]: Simplify (+ (/ 1/2 (pow im 2)) 0) into (* 1/2 (/ 1 (pow im 2))) 6.772 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) (* 1/2 (/ 1 (pow im 2)))) into (* 2 (* (pow (fabs (/ 1 im)) 2) (pow im 2))) 6.772 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 6.772 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in im 6.772 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 6.772 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.772 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 6.772 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.772 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.772 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.772 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.772 * [taylor]: Taking taylor expansion of im in im 6.772 * [backup-simplify]: Simplify 0 into 0 6.772 * [backup-simplify]: Simplify 1 into 1 6.772 * [backup-simplify]: Simplify (* 1 1) into 1 6.772 * [backup-simplify]: Simplify (/ 1 1) into 1 6.772 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.772 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.772 * [taylor]: Taking taylor expansion of re in im 6.772 * [backup-simplify]: Simplify re into re 6.772 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.773 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.773 * [backup-simplify]: Simplify (+ 1 0) into 1 6.773 * [backup-simplify]: Simplify (sqrt 1) into 1 6.773 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.774 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.774 * [backup-simplify]: Simplify (+ 0 0) into 0 6.774 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.774 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.774 * [taylor]: Taking taylor expansion of re in im 6.774 * [backup-simplify]: Simplify re into re 6.774 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.775 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2) 6.775 * [backup-simplify]: Simplify (+ 1 0) into 1 6.775 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) 1) into (pow (fabs (/ 1 im)) 2) 6.775 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re))) in im 6.775 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in im 6.775 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in im 6.775 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.775 * [taylor]: Taking taylor expansion of (- (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) (/ 1 re)) in im 6.775 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.775 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.775 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.775 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.775 * [taylor]: Taking taylor expansion of im in im 6.775 * [backup-simplify]: Simplify 0 into 0 6.775 * [backup-simplify]: Simplify 1 into 1 6.776 * [backup-simplify]: Simplify (* 1 1) into 1 6.776 * [backup-simplify]: Simplify (/ 1 1) into 1 6.776 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.776 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.776 * [taylor]: Taking taylor expansion of re in im 6.776 * [backup-simplify]: Simplify re into re 6.776 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.776 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.776 * [backup-simplify]: Simplify (+ 1 0) into 1 6.776 * [backup-simplify]: Simplify (sqrt 1) into 1 6.777 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.777 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.777 * [backup-simplify]: Simplify (+ 0 0) into 0 6.778 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.778 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.778 * [taylor]: Taking taylor expansion of re in im 6.778 * [backup-simplify]: Simplify re into re 6.778 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.778 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2) 6.778 * [backup-simplify]: Simplify (+ 1 0) into 1 6.778 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) 1) into (pow (fabs (/ 1 im)) 2) 6.779 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re 6.779 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.779 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.779 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (fabs (/ 1 im)))) into 0 6.779 * [backup-simplify]: Simplify (- (/ 1 re)) into (- (/ 1 re)) 6.779 * [backup-simplify]: Simplify (+ 0 (- (/ 1 re))) into (- (/ 1 re)) 6.779 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ (- (/ 1 re)) 1)))) into (/ (pow (fabs (/ 1 im)) 2) re) 6.779 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) re) in re 6.779 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re 6.779 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.779 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.780 * [taylor]: Taking taylor expansion of re in re 6.780 * [backup-simplify]: Simplify 0 into 0 6.780 * [backup-simplify]: Simplify 1 into 1 6.780 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2) 6.780 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) 1) into (pow (fabs (/ 1 im)) 2) 6.780 * [backup-simplify]: Simplify (pow (fabs (/ 1 im)) 2) into (pow (fabs (/ 1 im)) 2) 6.780 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2) 6.780 * [backup-simplify]: Simplify (pow (fabs (/ 1 im)) 2) into (pow (fabs (/ 1 im)) 2) 6.780 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0 6.781 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.781 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.782 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 6.782 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 6.782 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.783 * [backup-simplify]: Simplify (- 0) into 0 6.783 * [backup-simplify]: Simplify (+ (/ 1/2 (pow re 2)) 0) into (* 1/2 (/ 1 (pow re 2))) 6.784 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (/ (pow (fabs (/ 1 im)) 2) re) (/ (- (/ 1 re)) 1)))) into (* 1/2 (/ (pow (fabs (/ 1 im)) 2) (pow re 2))) 6.784 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (fabs (/ 1 im)) 2) (pow re 2))) in re 6.784 * [taylor]: Taking taylor expansion of 1/2 in re 6.784 * [backup-simplify]: Simplify 1/2 into 1/2 6.784 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ 1 im)) 2) (pow re 2)) in re 6.784 * [taylor]: Taking taylor expansion of (pow (fabs (/ 1 im)) 2) in re 6.784 * [taylor]: Taking taylor expansion of (fabs (/ 1 im)) in re 6.784 * [backup-simplify]: Simplify (fabs (/ 1 im)) into (fabs (/ 1 im)) 6.784 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.784 * [taylor]: Taking taylor expansion of re in re 6.784 * [backup-simplify]: Simplify 0 into 0 6.784 * [backup-simplify]: Simplify 1 into 1 6.784 * [backup-simplify]: Simplify (* (fabs (/ 1 im)) (fabs (/ 1 im))) into (pow (fabs (/ 1 im)) 2) 6.784 * [backup-simplify]: Simplify (* 1 1) into 1 6.784 * [backup-simplify]: Simplify (/ (pow (fabs (/ 1 im)) 2) 1) into (pow (fabs (/ 1 im)) 2) 6.784 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (fabs (/ 1 im)))) into 0 6.785 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.785 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)))) into 0 6.786 * [backup-simplify]: Simplify (+ (* 1/2 0) (* 0 (pow (fabs (/ 1 im)) 2))) into 0 6.786 * [backup-simplify]: Simplify 0 into 0 6.786 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (fabs (/ 1 im)))) into 0 6.787 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)))) into 0 6.787 * [backup-simplify]: Simplify 0 into 0 6.787 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (* 0 (fabs (/ 1 im)))) into 0 6.787 * [backup-simplify]: Simplify 0 into 0 6.787 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ 1 im)))))) into 0 6.788 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.788 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.788 * [backup-simplify]: Simplify (+ (* re 0) (* 0 re)) into 0 6.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 (pow re 2)) (/ 0 (pow re 2))))) into 0 6.789 * [backup-simplify]: Simplify (+ 0 0) into 0 6.789 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (pow re 2)))))) (* 2 1)) into 0 6.789 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)) (* 0 (/ 0 re)))) into 0 6.790 * [backup-simplify]: Simplify (- 0) into 0 6.790 * [backup-simplify]: Simplify (+ 0 0) into 0 6.791 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)) (* (/ (pow (fabs (/ 1 im)) 2) re) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (* 1/2 (/ (pow (fabs (/ 1 im)) 2) (pow re 2))) (/ (- (/ 1 re)) 1)))) into 0 6.791 * [taylor]: Taking taylor expansion of 0 in re 6.791 * [backup-simplify]: Simplify 0 into 0 6.792 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0 6.792 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.793 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.794 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (* 0 (pow (fabs (/ 1 im)) 2)))) into 0 6.794 * [backup-simplify]: Simplify 0 into 0 6.794 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0 6.795 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ 1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.795 * [backup-simplify]: Simplify 0 into 0 6.795 * [backup-simplify]: Simplify (+ (* (fabs (/ 1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ 1 im))))) into 0 6.795 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify (+ (* (pow (fabs (/ 1 (/ 1 im))) 2) (* 1 (/ 1 im))) (* (pow (fabs (/ 1 (/ 1 im))) 2) (* (/ 1 (/ 1 re)) (pow (/ 1 im) 2)))) into (+ (/ (pow (fabs im) 2) im) (/ (* (pow (fabs im) 2) re) (pow im 2))) 6.796 * [backup-simplify]: Simplify (* (fabs (/ 1 (- im))) (/ (fabs (/ 1 (- im))) (- (sqrt (+ (* (/ 1 (- re)) (/ 1 (- re))) (* (/ 1 (- im)) (/ 1 (- im))))) (/ 1 (- re))))) into (/ (pow (fabs (/ -1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) 6.796 * [approximate]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in (im re) around 0 6.796 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in re 6.796 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re 6.796 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.796 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.796 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in re 6.796 * [taylor]: Taking taylor expansion of (/ 1 re) in re 6.796 * [taylor]: Taking taylor expansion of re in re 6.796 * [backup-simplify]: Simplify 0 into 0 6.796 * [backup-simplify]: Simplify 1 into 1 6.797 * [backup-simplify]: Simplify (/ 1 1) into 1 6.797 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in re 6.797 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in re 6.797 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in re 6.797 * [taylor]: Taking taylor expansion of (pow im 2) in re 6.797 * [taylor]: Taking taylor expansion of im in re 6.797 * [backup-simplify]: Simplify im into im 6.797 * [backup-simplify]: Simplify (* im im) into (pow im 2) 6.797 * [backup-simplify]: Simplify (/ 1 (pow im 2)) into (/ 1 (pow im 2)) 6.797 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in re 6.797 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.797 * [taylor]: Taking taylor expansion of re in re 6.797 * [backup-simplify]: Simplify 0 into 0 6.797 * [backup-simplify]: Simplify 1 into 1 6.797 * [backup-simplify]: Simplify (* 1 1) into 1 6.797 * [backup-simplify]: Simplify (/ 1 1) into 1 6.798 * [backup-simplify]: Simplify (+ 0 1) into 1 6.798 * [backup-simplify]: Simplify (sqrt 1) into 1 6.798 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.799 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.799 * [backup-simplify]: Simplify (+ 0 0) into 0 6.799 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.799 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2) 6.800 * [backup-simplify]: Simplify (+ 1 1) into 2 6.800 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) 2) into (* 1/2 (pow (fabs (/ -1 im)) 2)) 6.800 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 6.800 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in im 6.800 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 6.800 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.800 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.800 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.800 * [taylor]: Taking taylor expansion of re in im 6.800 * [backup-simplify]: Simplify re into re 6.800 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.800 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.800 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.800 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.800 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.800 * [taylor]: Taking taylor expansion of im in im 6.800 * [backup-simplify]: Simplify 0 into 0 6.800 * [backup-simplify]: Simplify 1 into 1 6.800 * [backup-simplify]: Simplify (* 1 1) into 1 6.801 * [backup-simplify]: Simplify (/ 1 1) into 1 6.801 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.801 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.801 * [taylor]: Taking taylor expansion of re in im 6.801 * [backup-simplify]: Simplify re into re 6.801 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.801 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.801 * [backup-simplify]: Simplify (+ 1 0) into 1 6.801 * [backup-simplify]: Simplify (sqrt 1) into 1 6.802 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.802 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.802 * [backup-simplify]: Simplify (+ 0 0) into 0 6.803 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.803 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2) 6.803 * [backup-simplify]: Simplify (+ 0 1) into 1 6.803 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) 1) into (pow (fabs (/ -1 im)) 2) 6.803 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))))) in im 6.803 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in im 6.803 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in im 6.803 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.803 * [taylor]: Taking taylor expansion of (+ (/ 1 re) (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))))) in im 6.803 * [taylor]: Taking taylor expansion of (/ 1 re) in im 6.803 * [taylor]: Taking taylor expansion of re in im 6.804 * [backup-simplify]: Simplify re into re 6.804 * [backup-simplify]: Simplify (/ 1 re) into (/ 1 re) 6.804 * [taylor]: Taking taylor expansion of (sqrt (+ (/ 1 (pow im 2)) (/ 1 (pow re 2)))) in im 6.804 * [taylor]: Taking taylor expansion of (+ (/ 1 (pow im 2)) (/ 1 (pow re 2))) in im 6.804 * [taylor]: Taking taylor expansion of (/ 1 (pow im 2)) in im 6.804 * [taylor]: Taking taylor expansion of (pow im 2) in im 6.804 * [taylor]: Taking taylor expansion of im in im 6.804 * [backup-simplify]: Simplify 0 into 0 6.804 * [backup-simplify]: Simplify 1 into 1 6.804 * [backup-simplify]: Simplify (* 1 1) into 1 6.804 * [backup-simplify]: Simplify (/ 1 1) into 1 6.804 * [taylor]: Taking taylor expansion of (/ 1 (pow re 2)) in im 6.804 * [taylor]: Taking taylor expansion of (pow re 2) in im 6.804 * [taylor]: Taking taylor expansion of re in im 6.804 * [backup-simplify]: Simplify re into re 6.804 * [backup-simplify]: Simplify (* re re) into (pow re 2) 6.804 * [backup-simplify]: Simplify (/ 1 (pow re 2)) into (/ 1 (pow re 2)) 6.805 * [backup-simplify]: Simplify (+ 1 0) into 1 6.805 * [backup-simplify]: Simplify (sqrt 1) into 1 6.805 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.806 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 6.806 * [backup-simplify]: Simplify (+ 0 0) into 0 6.806 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt 1))) into 0 6.806 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2) 6.807 * [backup-simplify]: Simplify (+ 0 1) into 1 6.807 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) 1) into (pow (fabs (/ -1 im)) 2) 6.807 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re 6.807 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.807 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.807 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (fabs (/ -1 im)))) into 0 6.807 * [backup-simplify]: Simplify 0 into 0 6.807 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (fabs (/ -1 im)))) into 0 6.807 * [backup-simplify]: Simplify (+ (/ 1 re) 0) into (/ 1 re) 6.808 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ (/ 1 re) 1)))) into (- (/ (pow (fabs (/ -1 im)) 2) re)) 6.808 * [taylor]: Taking taylor expansion of (- (/ (pow (fabs (/ -1 im)) 2) re)) in re 6.808 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) re) in re 6.808 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re 6.808 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.808 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.808 * [taylor]: Taking taylor expansion of re in re 6.808 * [backup-simplify]: Simplify 0 into 0 6.808 * [backup-simplify]: Simplify 1 into 1 6.808 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2) 6.808 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) 1) into (pow (fabs (/ -1 im)) 2) 6.809 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 6.809 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (fabs (/ -1 im)))) into 0 6.809 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)))) into 0 6.810 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.810 * [backup-simplify]: Simplify (- 0) into 0 6.810 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 6.811 * [backup-simplify]: Simplify 0 into 0 6.811 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 6.811 * [backup-simplify]: Simplify (- (+ (* (/ 1 re) (/ 0 re)))) into 0 6.812 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.812 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.812 * [backup-simplify]: Simplify (+ 0 (/ 1 (pow re 2))) into (/ 1 (pow re 2)) 6.813 * [backup-simplify]: Simplify (/ (- (/ 1 (pow re 2)) (pow 0 2) (+)) (* 2 1)) into (/ 1/2 (pow re 2)) 6.813 * [backup-simplify]: Simplify (+ 0 (/ 1/2 (pow re 2))) into (* 1/2 (/ 1 (pow re 2))) 6.814 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ (* 1/2 (/ 1 (pow re 2))) 1)) (* (- (/ (pow (fabs (/ -1 im)) 2) re)) (/ (/ 1 re) 1)))) into (* 1/2 (/ (pow (fabs (/ -1 im)) 2) (pow re 2))) 6.814 * [taylor]: Taking taylor expansion of (* 1/2 (/ (pow (fabs (/ -1 im)) 2) (pow re 2))) in re 6.814 * [taylor]: Taking taylor expansion of 1/2 in re 6.814 * [backup-simplify]: Simplify 1/2 into 1/2 6.814 * [taylor]: Taking taylor expansion of (/ (pow (fabs (/ -1 im)) 2) (pow re 2)) in re 6.814 * [taylor]: Taking taylor expansion of (pow (fabs (/ -1 im)) 2) in re 6.814 * [taylor]: Taking taylor expansion of (fabs (/ -1 im)) in re 6.814 * [backup-simplify]: Simplify (fabs (/ -1 im)) into (fabs (/ -1 im)) 6.814 * [taylor]: Taking taylor expansion of (pow re 2) in re 6.814 * [taylor]: Taking taylor expansion of re in re 6.814 * [backup-simplify]: Simplify 0 into 0 6.814 * [backup-simplify]: Simplify 1 into 1 6.814 * [backup-simplify]: Simplify (* (fabs (/ -1 im)) (fabs (/ -1 im))) into (pow (fabs (/ -1 im)) 2) 6.815 * [backup-simplify]: Simplify (* 1 1) into 1 6.815 * [backup-simplify]: Simplify (/ (pow (fabs (/ -1 im)) 2) 1) into (pow (fabs (/ -1 im)) 2) 6.815 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0 6.816 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 6.816 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (* 0 (fabs (/ -1 im)))) into 0 6.816 * [backup-simplify]: Simplify (+ (* 1 0) (* 0 1)) into 0 6.817 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)))) into 0 6.817 * [backup-simplify]: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 6.818 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (* 0 (fabs (/ -1 im))))) into 0 6.819 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.820 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.821 * [backup-simplify]: Simplify (+ (* 1/2 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (fabs (/ -1 im)) 2))))) into 0 6.821 * [backup-simplify]: Simplify 0 into 0 6.821 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0 6.822 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* (pow (fabs (/ -1 im)) 2) (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 6.823 * [backup-simplify]: Simplify (- 0) into 0 6.823 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify (+ (* (fabs (/ -1 im)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (fabs (/ -1 im)))))) into 0 6.826 * [backup-simplify]: Simplify 0 into 0 6.826 * [backup-simplify]: Simplify 0 into 0 6.826 * * * [progress]: simplifying candidates 6.828 * [simplify]: Simplifying: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (* (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (sqrt (+ (* re re) (* im im)))) (sqrt (* (cbrt (+ (* re re) (* im im))) (cbrt (+ (* re re) (* im im))))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt 1) (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow (* re re) 3) (pow (* im im) 3))) (sqrt (+ (* (* re re) (* re re)) (- (* (* im im) (* im im)) (* (* re re) (* im im))))) (sqrt (- (* (* re re) (* re re)) (* (* im im) (* im im)))) (sqrt (- (* re re) (* im im))) (/ 1 2) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))) (exp (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))) (* (cbrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))))))) (cbrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))) (* (* (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))) (sqrt 2.0) (sqrt (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* 2.0 (* (fabs im) (fabs im)))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (/ 1 2) (/ 1 2) (/ 1 2) (sqrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))) (sqrt (sqrt (* 2.0 (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))))) (/ (exp (sqrt (+ (* re re) (* im im)))) (exp re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (+ (* re re) (* (sqrt (+ (* re re) (* im im))) re))) (- 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) (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))) (+ (log (fabs im)) (- (log (fabs im)) (log (- (sqrt (+ (* re re) (* im im))) re)))) (+ (log (fabs im)) (log (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (log (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (exp (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (* (fabs im) (fabs im)) (fabs im)) (/ (* (* (fabs im) (fabs im)) (fabs im)) (* (* (- (sqrt (+ (* re re) (* im im))) re) (- (sqrt (+ (* re re) (* im im))) re)) (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (* (fabs im) (fabs im)) (fabs im)) (* (* (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (* (cbrt (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (* (* (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))) (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (sqrt (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (* (cbrt (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))))) (* (fabs im) (sqrt (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1)) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) 1)) (* (fabs im) (/ (sqrt (fabs im)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (fabs im) (/ (sqrt (fabs im)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (/ (sqrt (fabs im)) 1)) (* (fabs im) (/ (sqrt (fabs im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (* (fabs im) (/ (sqrt (fabs im)) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (* (fabs im) (/ (sqrt (fabs im)) 1)) (* (fabs im) (/ 1 (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (fabs im) (/ 1 (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (/ 1 1)) (* (fabs im) (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (* (fabs im) (/ 1 (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (* (fabs im) (/ 1 1)) (* (fabs im) 1) (* (fabs im) (fabs im)) (* (fabs im) (/ (fabs im) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)))) (* (fabs im) (/ (fabs im) (- (* (sqrt (+ (* re re) (* im im))) (sqrt (+ (* re re) (* im im)))) (* re re)))) (* (cbrt (fabs im)) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))) (* (sqrt (fabs im)) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))) (* (fabs im) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))) (* (fabs im) (fabs im)) im re (* -1 re) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im)) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2))) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im))))))) (- (+ (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3)))))))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3))) (- (+ (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) im)) (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 2)))))))) (- im re) 0 (* -2 re) (* 2 (/ (* (pow (fabs im) 2) re) (pow im 2))) (+ (/ (pow (fabs im) 2) im) (/ (* (pow (fabs im) 2) re) (pow im 2))) 0 6.830 * * [simplify]: Extracting # 0 : cost 0 6.830 * * [simplify]: Extracting # 1 : cost 0 6.830 * * [simplify]: Extracting # 2 : cost 0 6.831 * * [simplify]: Extracting # 3 : cost 0 6.831 * * [simplify]: Extracting # 4 : cost 0 6.831 * * [simplify]: Extracting # 5 : cost 0 6.831 * * [simplify]: Extracting # 6 : cost 0 6.831 * * [simplify]: Extracting # 7 : cost 0 6.832 * * [simplify]: Extracting # 8 : cost 0 6.832 * * [simplify]: Extracting # 9 : cost 0 6.832 * * [simplify]: Extracting # 10 : cost 0 6.832 * * [simplify]: Extracting # 11 : cost 0 6.833 * * [simplify]: Extracting # 12 : cost 0 6.833 * * [simplify]: Extracting # 13 : cost 0 6.833 * * [simplify]: Extracting # 14 : cost 0 6.833 * * [simplify]: Extracting # 15 : cost 0 6.833 * * [simplify]: Extracting # 16 : cost 0 6.834 * * [simplify]: Extracting # 17 : cost 0 6.834 * * [simplify]: iteration 0 : 193 enodes (cost 1756 ) 6.880 * * [simplify]: Extracting # 0 : cost 0 6.880 * * [simplify]: Extracting # 1 : cost 0 6.881 * * [simplify]: Extracting # 2 : cost 0 6.882 * * [simplify]: Extracting # 3 : cost 0 6.882 * * [simplify]: Extracting # 4 : cost 0 6.883 * * [simplify]: iteration 1 : 520 enodes (cost 1630 ) 7.193 * * [simplify]: Extracting # 0 : cost 0 7.197 * * [simplify]: Extracting # 1 : cost 0 7.201 * * [simplify]: Extracting # 2 : cost 0 7.205 * * [simplify]: Extracting # 3 : cost 0 7.210 * * [simplify]: Extracting # 4 : cost 0 7.214 * * [simplify]: iteration 2 : 3091 enodes (cost 1444 ) 8.764 * * [simplify]: Extracting # 0 : cost 0 8.779 * * [simplify]: Extracting # 1 : cost 0 8.787 * * [simplify]: Extracting # 2 : cost 0 8.799 * * [simplify]: Extracting # 3 : cost 0 8.805 * * [simplify]: Extracting # 4 : cost 0 8.811 * * [simplify]: iteration done: 5001 enodes (cost 1428 ) 8.812 * [simplify]: Simplified to: (log (sqrt (+ (* re re) (* im im)))) (exp (sqrt (+ (* re re) (* im im)))) (* (cbrt (sqrt (+ (* re re) (* im im)))) (cbrt (sqrt (+ (* re re) (* im im))))) (cbrt (sqrt (+ (* re re) (* im im)))) (pow (sqrt (+ (* re re) (* im im))) 3) (fabs (cbrt (+ (* re re) (* im im)))) (sqrt (cbrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) 1 (sqrt (+ (* re re) (* im im))) (sqrt (+ (pow im 6) (pow re 6))) (sqrt (+ (* (* im im) (- (* im im) (* re re))) (pow re 4))) (sqrt (- (pow re 4) (pow im 4))) (sqrt (- (* re re) (* im im))) 1/2 (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt (sqrt (+ (* re re) (* im im)))) (log (sqrt (* 2.0 (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))))) (exp (sqrt (* 2.0 (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))))) (* (cbrt (sqrt (* 2.0 (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))))) (cbrt (sqrt (* 2.0 (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re)))))) (cbrt (sqrt (* 2.0 (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))))) (pow (sqrt (* 2.0 (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re)))) 3) (sqrt 2.0) (sqrt (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (* 2.0 (pow (fabs im) 2))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) 1/2 1/2 1/2 (sqrt (sqrt (* 2.0 (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))))) (sqrt (sqrt (* 2.0 (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))))) (exp (- (sqrt (+ (* re re) (* im im))) re)) (log (- (sqrt (+ (* re re) (* im im))) re)) (exp (- (sqrt (+ (* re re) (* im im))) re)) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (pow (- (sqrt (+ (* re re) (* im im))) re) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (sqrt (- (sqrt (+ (* re re) (* im im))) re)) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3)) (+ (+ (* re re) (* im im)) (* re (+ (sqrt (+ (* re re) (* im im))) re))) (- re) (- (+ (* 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) (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re)) (log (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))) (log (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))) (log (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))) (exp (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))) (pow (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re)) 3) (pow (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re)) 3) (* (cbrt (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re)))) (cbrt (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))) (pow (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re)) 3) (sqrt (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))) (sqrt (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (* (sqrt (fabs im)) (sqrt (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (* (fabs im) (* (cbrt (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))) (cbrt (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))))) (* (fabs im) (sqrt (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re))))) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (sqrt (- (sqrt (+ (* re re) (* im im))) re)))) (* (fabs im) (* (cbrt (fabs im)) (cbrt (fabs im)))) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (* (fabs im) (/ (* (cbrt (fabs im)) (cbrt (fabs im))) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re)))) (* (fabs im) (* (cbrt (fabs im)) (cbrt (fabs im)))) (/ (pow (sqrt (fabs im)) 3) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (pow (sqrt (fabs im)) 3) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (pow (sqrt (fabs im)) 3) (/ (pow (sqrt (fabs im)) 3) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (pow (sqrt (fabs im)) 3) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (pow (sqrt (fabs im)) 3) (/ (fabs im) (* (cbrt (- (sqrt (+ (* re re) (* im im))) re)) (cbrt (- (sqrt (+ (* re re) (* im im))) re)))) (/ (fabs im) (sqrt (- (sqrt (+ (* re re) (* im im))) re))) (fabs im) (/ (fabs im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (/ (fabs im) (+ (sqrt (sqrt (+ (* re re) (* im im)))) (sqrt re))) (fabs im) (fabs im) (pow (fabs im) 2) (/ (pow (fabs im) 2) (- (pow (sqrt (+ (* re re) (* im im))) 3) (pow re 3))) (/ (pow (fabs im) 2) (- (+ (* re re) (* im im)) (* re re))) (* (cbrt (fabs im)) (/ (fabs im) (- (sqrt (+ (* re re) (* im im))) re))) (/ (pow (sqrt (fabs im)) 3) (- (sqrt (+ (* re re) (* im im))) re)) (/ (pow (fabs im) 2) (- (sqrt (+ (* re re) (* im im))) re)) (pow (fabs im) 2) im re (- re) (+ (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) re))) im))) (* +nan.0 (- (/ (* (fabs im) (* (sqrt 2.0) im)) (sqrt 2)) (/ (* (fabs im) (* (sqrt 2.0) (* (sqrt 2) (pow re 2)))) im)))) (+ (- (* +nan.0 (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 2)))) (* +nan.0 (- (/ (* (fabs im) (sqrt 2.0)) im) (/ (* (fabs im) (* (sqrt 2.0) re)) (pow im 3))))) (+ (- (* +nan.0 (/ (* (fabs im) (sqrt 2.0)) (pow im 3)))) (* +nan.0 (- (/ (* (fabs im) (sqrt 2.0)) im) (/ (* (fabs im) (sqrt 2.0)) (pow im 2))))) (- im re) 0 (* -2 re) (* 2 (/ (* (pow (fabs im) 2) re) (pow im 2))) (+ (/ (pow (fabs im) 2) im) (/ (* (pow (fabs im) 2) re) (pow im 2))) 0 8.813 * * * [progress]: adding candidates to table 9.328 * [progress]: [Phase 3 of 3] Extracting. 9.328 * * [regime]: Finding splitpoints for: (# # # # # # #) 9.329 * * * [regime-changes]: Trying 2 branch expressions: (im re) 9.330 * * * * [regimes]: Trying to branch on im from (# # # # # # #) 9.390 * * * * [regimes]: Trying to branch on re from (# # # # # # #) 9.465 * * * [regime]: Found split indices: #